On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.
A total of ______ people visited the natural history museum Friday night.
36
133
750
1500
Answers
A total of 750 people visited the natural history museum on Friday night.
The total number of people who visited the natural history museum on Friday night can be calculated by dividing the number of people who saw the dinosaur exhibit (165) by the percentage of visitors who saw the exhibit (22%).
To do this, we can use the following formula:
Total number of visitors = Number of visitors who saw the exhibit ÷ Percentage of visitors who saw the exhibit
Substituting the given values, we get:
Total number of visitors = 165 ÷ 0.22 = 750
Therefore, a total of 750 people visited the natural history museum on Friday night.
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Related Questions
How would the expression (x^2 + 1)(y^2 + 4) be rewritten using Two Squares?
O A. (xy– 2)^2 - (4x+y)^2
B. ( xy- 2)^2 +(2x+y)^2
C. (xy+2)^2 +(x+2y)^2
D. (xy-2)^2+(x+2y)^2
Answers
The expression \((x^2 + 1)(y^2 + 4)\) can be rewritten using Two Squares as \((xy-2)^2+(x+2y)^2\). The correct option is D.
What is Two Squares?The Two Squares identity is a special case of the identity: \((a^2 + b^2) = (a + b)^2 - 2ab\).
This identity can be used to factorize certain expressions involving squares of variables.
By using the Two Squares identity, we can rewrite expressions in the form of a sum of two squares as a difference of squares, or vice versa. This can be useful in simplifying and solving equations in algebra.
We can use the Two Squares identity, which states that:
\((a^2 + b^2)(c^2 + d^2) = (ac - bd)^2 + (ad + bc)^2\)
Comparing with the given expression, we can see that a = x, b = 1, c = y, and d = 2. Substituting these values into the Two Squares identity, we get:
\((x^2 + 1)(y^2 + 4) = (xy - 2)^2 + (x + 2y)^2\)
Therefore, the answer is (D) \((xy-2)^2 + (x+2y)^2.\)
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Select the slope-intercept form of an equation for a line with y-intercept –5 and slope 2.
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
The format for slope intercept equation is:
y = mx + b
b is the y intercept and m is the slope, so plugging the numbers we have into the variables, we have:
y = 2x - 5
PLEASE HELP 100 POINTS
A line has a slope of 5/3 and passes through the point (4,6). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = \(\frac{5}{3}\) x - \(\frac{2}{3}\)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given m = \(\frac{5}{3}\) , then
y = \(\frac{5}{3}\) x + c ← is the partial equation
to find c substitute (4, 6 ) into the partial equation
6 = \(\frac{5}{3}\) (4 ) + c = \(\frac{20}{3}\) + c ( subtract \(\frac{20}{3}\) from both sides )
\(\frac{18}{3}\) - \(\frac{20}{3}\) = c , so
c = - \(\frac{2}{3}\)
y = \(\frac{5}{3}\) x - \(\frac{2}{3}\) ← equation of line
In this problem we'll be dealing with the human Msc gene, which contains four exons (A, B, C, and D in that order) and three introns. This gene is expressed heavily in hepatocytes as well as pancreatic cells in the body; you find lots of Msc proteins in these two tissue types. a) Draw out a schematic of this eukaryotic gene, labeling all components. b) In looking at Msc proteins expressed in the tissue types, you find that the amino acid sequence differs slightly between the pancreatic cells and the hepatocytes. Specifically, the amino acid sequence at the beginnings and ends (N and C termini, respectively, if you are familiar with those terms) of both proteins is identical, but the amino acid sequence in the middle of the protein is quite different between the two tissue types. Briefly explain how this is possible. (1-2 sentences) c) Based on what you know about Msc, draw out a schematic of what the mature mRNA would look like in hepatocytes. (There are two possible answers here: you just need to include one.)
Answers
The eukaryotic Msc gene can be represented as follows: 5'-A
(exon)-intron 1-B (exon)-intron 2-C (exon)-intron 3-D (exon)-3'. The gene contains four exons (A, B, C, and D) and three introns.
b) The difference in amino acid sequences between the pancreatic cells and hepatocytes can be explained by alternative splicing. This process allows for different combinations of exons to be included in the mature mRNA, resulting in multiple protein isoforms with distinct sequences.
c) One possible mature mRNA for the Msc gene in hepatocytes could include exons A, B, and D, with exon C skipped due to alternative splicing: 5'-A (exon)-B (exon)-D (exon)-3'.
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Please Help!!
Show all work pls!
#15
Answers
Step-by-step explanation:
82 + 76 + 42 = 200
42 out of 200 hmmm
200 / 2 = 100
42 / 2 = 21
21 out of 100 = 42 out of 200
=
21%
then you set up a proportion: %/100 = part/whole (and whichever thing you’re trying to solve for will be x)
so for this problem: x/100 = 42/200 (x is what you’re solving for: you’re trying to find the percent of people that prefer strawberry ice cream out of the 200 people surveyed)
then: cross multiply
i like to start with the x first so:
200 • x = 200x
and
42 • 100 = 4200
then finally put these together to make an algebraic equation: 200x = 4200
solve from there:
4200 divided by 200 (because you want x by itself) is 21 so you’re left with:
x = 21
now remember how we used x to represent the percent out of 100 on our proportion? this means that 21% of people (out of the 200) prefer strawberry ice cream
hope this helps!
Round your answer to the nearest hundredth. A circle with center P and three points, A, B, and C, on the circle. Point P is on segment C B. Segment P A is drawn such that angle A P B measures 45 degrees. The length of segment C B is 8 feet. The arc length is about feet.
Answers
Answer:
Step-by-step explanation:
Since segment P A bisects angle A P B, we know that angle A P C measures 90 degrees. Therefore, segment C P is the radius of the circle.
We can use the Pythagorean theorem to find the length of segment A P:
AP^2 + CP^2 = AC^2
AP^2 + CP^2 = (2CP)^2 (since AC is the diameter of the circle)
AP^2 = 4CP^2 - CP^2 = 3CP^2
AP = CP * sqrt(3)
We know that CP is 4 feet, so:
AP = 4 * sqrt(3) feet
The arc length of a circle is given by:
arc length = (angle/360) * 2 * pi * radius
The angle of arc A B C is 360 - 45 = 315 degrees. The radius of the circle is CP = 4 feet. Substituting these values into the formula, we get:
arc length = (315/360) * 2 * pi * 4 feet
arc length = 3.5 * pi feet
Rounding to the nearest hundredth, the arc length is approximately 10.99 feet.
Solve the equation. Then check your solution. 15 (negative 42 x + 40) = 15 (negative 8 x + 244) a. –6 c. 6 b. 0.7 d. 3 Please select the best answer from the choices provided A B C D
Answers
Answer:
C
Step-by-step explanation:
15 (-42 x + 40) = 15 (- 8 x + 244)
15 cancelled on each side
-42x+40= -8x+244
move all the x to one side & numbers to the other,
-34x =204
x=6
Given the differential equation: 1 dy + 2y = 1 xdx with initial conditions x = 0 when y = 1, produce a numerical solution of the differential equation, correct to 6 decimal places, in the range x = 0(0.2)1.0 using: (a) Euler method (b) Euler-Cauchy method (c) Runge-Kutta method (d) Analytical method Compare the %error of the estimated values of (a), (b) and (c), calculated against the actual values of (d). Show complete solutions and express answers in table form.
Answers
The numerical solutions of the given differential equation using different methods, along with their corresponding %errors compared to the analytical solution, are summarized in the table below:
| Method | Numerical Solution | %Error |
|------------------|----------------------|--------|
| Euler | | |
| Euler-Cauchy | | |
| Runge-Kutta | | |
The Euler method is a first-order numerical method for solving ordinary differential equations. It approximates the solution by taking small steps and updating the solution based on the derivative at each step?To apply the Euler method to the given differential equation, we start with the initial condition (x = 0, y = 1) and take small steps of size h = 0.2 until x = 1.0. We can use the formula:
\(\[y_{i+1} = y_i + h \cdot f(x_i, y_i)\]\)
where \(\(f(x, y)\)\) is the derivative of \(\(y\)\)with respect to\(\(x\).\) In this case,\(\(f(x, y) = \frac{1}{2y} - \frac{1}{2}x\).\)
Calculating the values using the Euler method, we get:
|x | y (Euler) |
|---|--------------|
|0.0| 1.000000 |
|0.2| 0.875000 |
|0.4| 0.748438 |
|0.6| 0.621928 |
|0.8| 0.496267 |
|1.0| 0.372212 |
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Company B needs to hire 30 new employees. Ten percent (10%) of applicants do not meet the basic business requirements for the job. 12% of the remaining applicants do not pass the pre-screening assessment, 23% of those remaining applicants do not show up for the interview, and 5% of those applicants fail the backround investigation. How many applicants need to apply in order to meet the hiring target?
Multiply choice
O 30
O 45
O 50
O 52
O 60
Answers
The applicants that would have to apply in order to meet the target is 52. Option 4 is correct.
How to solve for the applicantsWe have to define x as the applications to meet target
The number of persons to hire is 30
10 percent do not meet requirements. Hence 90 meets the requirements. 90% of x
= 0.9X
12% fail the pre screening stage. Hence 88% have passed it. This would be 88% of 0.9x. = 0.792x
23% Did not come for the interview, hence 77% showed up. This would be 0.77*0.792x = 0.60984x
then 5% are said to have failed the background test. This means that 95% passed the test.
0.95 * 0.60984x = 0.579348X
We have to equate this to 30 in order to get the value of x
0.579348X = 30
divide through by 0.579348
X = 30 / 0.579348
X = 51.78
X ~ 52
The number of applicants is 52
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Sheldon needs to buy 9 gallons of ice cream for a family reunion. The table shows the prices for different
sizes of two brands of ice cream.
View Exal
Step-by-
Cold Farms
Sweet Dreams
Price of small size
$4.50 for 1 pint
$2.25 for 1 quart
Price of large size
$8.50 for 1 quart
$5.50 for 1 gallon
Video Tut
Textbook
Which size container of Cold Farm ice cream is the better deal for Sheldon? Complete the explanation to
justify your answer.
Print
72 pints of Cold Farm ice cream cost $[ and 36 quarts of Cold Farm ice cream cost $
(select) size container is the better deal for Sheldon.
The
Answers
9514 1404 393
Answer:
$324 for 72 pints$306 for 36 quartslarger size is better dealStep-by-step explanation:
The cost of 72 pints is 72 times the cost of 1 pint:
72 × $4.50 = $324.00 . . . cost of 72 pints
The cost of 36 quarts is 36 times the cost of 1 quart:
36 × $8.50 = $306.00 . . . cost of 36 quarts
__
The price for quart containers is lower, so the larger size is the better deal.
In the biblical account, adam lived to be how old?
a. 99
b. 122
c. 545
d. 930
Answers
Project Description Let x∈R (a single real number), y∈R a pair (x,y) is a training somple A trainiug set of size m is a set of m such pairs, (x
i
,y
i
) for i=1,…,m. In nuapps, your can have a single 1D array for all x
i
, and sparately a ID array for all y
i
- For a given (n+1)-limensiotal vertor w∈R
n+1
, ket h(x,w)=∑
j=−[infinity]
n
e
′
x
3
be a polynomial of n-th degree of x with coefficients wy. For example, for n=2, we will have a 2 ud degree polynomial h(x,w)=w
b
+w
1
x+w
2
x
2
(if you jrefer ax
2
+bx+c, substitute a=w
2
,b=w
1
,c=w
0
). Let L(h(x),g)=(h(x)−y)
2
be the squared error objective function L:R×R→R
4
showing how good the polynonial h specified by w is at predicting the y from x in a given training sample (x,y). The lower the value of L, the higher the accuracy; idenally, the preetiction is perfict, h(x)=y. and L=0. Given a sequenue of m pains (x
i
+,
r
ˉ
) - the training met - and the value for n(n=1,2,3,4,5), your trsk is to write a python/mumpy code to find a good x ef of values wy for that n, for the given training set. A set of values w, is good if the objective function averaged over the m training pairs is bor - the valusi w head to mostly uocunite pecedictions for all samples in the training sut, That is, the task is to write python/numpy code to solve w
gool
≈argmin
w
∑
i=1
m
L(h(x
i
,w),y)/m. How to Solve It You are required to follow the following procedure, with only minor changes if it impreves your restlta. For a given m : (1) Using peceil and paper, derive the formuln for g(x
1
,y)=∇
k
L, the gradicat of L with respect to w, rs a fuaction of training saapple values x
i+
w. Thant is, find the gradiest the vector of partial derivatives
x
j
ax
j
(x
i
,y
j
) for j=0. .., n
.
. 2 (2) Start with small (e.g. in [−0.001,0.001] range), random values for w
j
. (3) Use your formuls to enlculate g(x
i
,y
i
) for all training points, then average then: g= ∑
i
g(x
i
,w
1
)/m (4) modify of slightly: wore =w
wd
−19, where q is sone (very) small positive number, experimentally chooen to lead to good results in not-too-many iterations (5) reppent the two lines above until the quality of peedictions, ∑
i=1
m
L(h(x
i
,w),y)/m, no longer danges signiffcautly (this ean be thonesands of iterations) Once you get the good valixs of w, plot the the training samples in red color on an x−y plot with the −25 to +2.5 range of the horizontal axis. Ere scateer plot - no lines connecting the training points. On the sume plot, plot the function h(x,w)=∑
j−0
n
n
x
x
f
in blue color ( x on horizatal axis, corresponding value of h(x,w) on the vertical axis. To show the full behanviot of the function, call it with x not just from the training set, but also fot other values of x (e.g. 1se 0.01 regular spacing, ie., −2.5,−2.49,−2.48,…+2.48,+2.49,+2.5; we seatter plot with no lines conaccting these points, they should be dense enough to look like a curve). Repent for all n=1,2,3,4,5 - for each different n, prepare a separate plot.
Answers
The optimal values of w and visualize the training samples and the corresponding polynomial functions for different degrees of n.
To solve the given task of finding the optimal values of w for a polynomial h(x,w) that minimizes the squared error objective function L, we can follow the provided procedure. Here is a step-by-step guide:
Step 1: Derive the formula for the gradient of L with respect to w as a function of the training sample values x and y. This involves calculating the vector of partial derivatives of L with respect to each coefficient wj.
Step 2: Initialize the values of wj with small random values in the range [-0.001, 0.001].
Step 3: Calculate the gradient g(x,y) for each training point (x,y) and average them to obtain g.
Step 4: Update the values of w by subtracting a small positive number q times g, i.e., w_new = w_old - q * g.
Step 5: Repeat steps 3 and 4 until the quality of predictions, measured by the squared error objective function, no longer significantly changes. This may require thousands of iterations.
Step 6: Once the optimal values of w are obtained, plot the training samples as red points on an x-y plot, using a horizontal axis range of -2.5 to 2.5.
Step 7: Plot the function h(x,w) as a blue curve on the same plot, by evaluating it for various values of x within the range -2.5 to 2.5. Use a scatter plot without connecting lines.
Step 8: Repeat the above steps for different values of n, starting from n = 1 to n = 5, creating separate plots for each value of n.
By following this procedure, you will be able to find the optimal values of w and visualize the training samples and the corresponding polynomial functions for different degrees of n.
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PLEASE HELP WILL GIVE BRAINLIEST!! If K is the midpoint of JL, JK=9x-1, and KL=2x+27, find JL.
A. 35
B. 70
C. 62
D. 48
Answers
Answer:
A, 35
Step-by-step explanation:
9x - 1 = 2x + 27
7x - 1 = 27
7x = 28
7x/7 = 28/7
x = 4
and now we plug it in,
9x - 1
9(4) - 1
36 - 1
35
and for the second point,
2x+27
2(4)+27
8+27
35
Hope this helps. Sorry this is a late response.
Amans age is three times his sons age.ten years ago he was five times his sons age .find their preseny age?
Answers
Click on the image and check the answer
2(4x + 1) < 3(2x - 3)
Answers
Answer:
x < -(\(\frac{11}{2}\))
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
8x+2 < 6x-9
2x+2 < -9
2x < -11
x < -(\(\frac{11}{2}\))
Question 4 of 10
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
□A. √2:√2
B. 15
□ C. √√√√5
□ D. 12
DE √3:3
OF. √2:√5
←PREVIOUS
SUBMIT
Answers
The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).
In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.
A. √2:√2
The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.
B. 15
This is a specific value and not a ratio. Therefore, option B is not applicable.
C. √√√√5
The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.
D. 12√3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.
E. √3:3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.
F. √2:√5
This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.
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How many times does 6 go into 60?
Answers
The number-of-times the "number-6" go into the "number-60" is exactly "10-times".
When we divide the "number 60" by "6", we are asking how many times the "number 6" can be evenly divided into "60" without any remainder.
In other words, we are searching for the quotient of the division operation.
To find the quotient, we divide the "number 60" by "6",
On dividing "60" by "6", the result is "10", which means that the "number 6" can go into "60" exactly "10 times", because "6" multiplied by "10" equals "60", with no remainder.
Therefore, exactly "10-times" the "number-6" go into "60".
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Find the distance between the pair of points.
E(-6, 4) and F(5, 4)
The distance between the pair of points is _____ units?
Answers
Answer:
11 units
Step-by-step explanation:
Just trust me!
Ximena answered 72 questions correctly on her multiple choice history final and
earned a grade of 36%. How many total questions were on the final exam?
Answers
Answer:
200
Step-by-step explanation:
72---->36%
x------> 100%
72×100
7200÷36=200
To check, let do it the other way round. 200×0.36=72.
There was total 200 multiple choice history question in Ximena's exam.
What is the definition of the percentage?A percentage is a fraction of a whole conveyed as a number ranging from 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide this same portion of the total by the total and multiply by 100.For the given question,
Total questions answered by the Ximena is 72.
The total percentage was 36%.
Let 'x' be the total number of the questions.
Then,
36% of x = 72
36x /100 = 72
x = 7200/36
x = 200
Thus, there was total 200 multiple choice history question in Ximena's exam.
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5. Prolific uses the bike in his trunk to find a nearby gas station with a mechanic to fix his rental
car. He rides 1.5 mi to the first gas station, where they say the next gas station may have a
mechanic. He then rides 1.6 mi to the next gas station, which also has no mechanic. The
following gas stations at 1.8 mi, 2.1 mi, and 2.5 mi away all have no mechanics available, but
confirm that there is a mechanic at the following gas station.
A. Assuming the rate remains constant, what equation will determine the distance of
the N gas station?
B.
If the pattern continues, how many miles will Prolific bike to get to the mechanic at
the 6th gas station?
Answers
Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.
Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.
Let's analyze the given information:
The first gas station is 1.5 miles away.
From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.
Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:
d = 1.5 + 0.1(N - 1)
B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:
d = 1.5 + 0.1(6 - 1)
= 1.5 + 0.1(5)
= 1.5 + 0.5
= 2 miles
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An item marked at ₹840 is sold for ₹714 . What is this discount and discount %?
Answers
The amount of discount given is ₹126 and the discount % is found to be 15%.
What is defined as the discount?Shop owners offer discounts to customers in order to improve sales. Discount refers to a rebate or offer made to customers on the marked price of products.
The list price or marked price of an item is the price declared by the seller or manufacturer, without any price reduction. After any reductions or discounts in the list price, the selling cost is the actual price that an article is sold. Discounts are commonly described using terms such as "off" and "reduction."The formula for calculating the discount is;
Discount = List Price - Selling Price
For the given values in question.
The marked price/list price = ₹840
The selling price = ₹714
Put the values in the formula.
Discount = ₹840 - ₹714
Discount = ₹126
Now, calculate the discount percentage;
Discount (%) = (Discount/List Price) × 100
Discount (%) = (126/840) × 100
Discount (%) = 15%
Therefore, the value of the discount is estimated as ₹126 and discount (%) is 15%.
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Write a linear function f with f(2)=-2 and f(1)=1
Answers
Answer:
y = -3x + 4
Step-by-step explanation:
x y
0 4
1 1
2 -2
Going down 3 for every increase of x by 1, when x = 0, y = 4
30P Find the function/equation check the screenshot to answer
Answers
Answer:
the second one
Step-by-step explanation:
random variables and have joint pdf 1/50 0
Answers
Based on your question, it sounds like you are asking about random variables that have a joint probability density function (PDF) of 1/50 over a certain range of values.
In probability theory, a random variable is a variable whose value is determined by chance. It can take on a range of possible values, and the probabilities of each possible value occurring can be described using a probability distribution.
A joint probability density function is a function that describes the probabilities of two or more random variables taking on specific values simultaneously. In your case, you have two random variables that have a joint PDF of 1/50.
Without knowing the specific range of values over which the PDF is defined, it's hard to provide a more detailed answer. However, here are a few general observations about random variables and joint PDFs:
- Random variables can be either discrete or continuous. Discrete random variables take on specific, countable values (e.g. the number of heads in a series of coin tosses), while continuous random variables can take on any value within a certain range (e.g. the height of a randomly selected person).
- A joint PDF is typically used to describe the behavior of two or more continuous random variables. It gives the probability density at each point in the two-dimensional space defined by the values of the two variables.
- The total probability over the entire range of values for a joint PDF must sum to 1. This ensures that the probability of all possible outcomes occurring is equal to 1.
I hope this helps! If you have any further questions or clarifications, please let me know.
It seems that you are asking about random variables with a joint probability density function (pdf) of 1/50. Random variables are quantities that can take on different values according to some probability distribution. When two or more random variables are considered together, their relationship can be described using a joint pdf. In this case, the joint pdf is 1/50, indicating that the probability of a specific combination of these random variables is 1/50.
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What three functions have zeros of x = -2 and x = 6
Answers
Function 1 is a quadratic function, function 2 is a linear function with a scaling constant, and function 3 is a cubic function with a scaling constant.
To find three functions with zeros at x = -2 and x = 6, we can use the fact that a linear function in the form of f(x) = a(x - c) has a zero at x = c.
Function 1:
f(x) = (x - (-2))(x - 6) = (x + 2)(x - 6)
Function 2:
g(x) = k(x - (-2))(x - 6)
= k(x + 2)(x - 6), where k is any non-zero constant
Function 3:
h(x) = m(x - (-2))²(x - 6)
= m(x + 2)²(x - 6), where m is any non-zero constant
These three functions all have zeros at x = -2 and x = 6.
We may utilise the knowledge that a linear function of the form f(x) = a(x - c) has a zero at x = c to identify three functions with zeros at x = -2 and x = 6.
Function number one is f(x) = (x - (-2))(x - 6) = (x + 2)(x - 6)
Function 2: where k is any non-zero constant, g(x) = k(x - (-2))(x - 6) = k(x + 2)(x - 6
Function 3 is h(x) = m(x-(-2)).m is any non-zero constant and 2(x - 6) = m(x + 2)2(x - 6)
The zeros for each of these three functions are at x = -2 and x = 6.
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Find the value of x in the following parallelogram
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Answer:
Step-by-step explanation:
If the figure is a parallelogram then the angles opposite one another are equal
2x - 30 = x + 40 Subtract x from both sides.
2x - x - 30 = x - x + 40 Combine
x - 30 = 40 Add 30 to both sides
x - 30 + 30 = 40 + 30 Combine
x = 70
if a destination goal is created for a newsletter sign-up and a user completes the newsletter sign-up three times in three separate sessions, how many goal conversions will analytics count?3621
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Analytics will count three goal conversions if a user completes the newsletter sign-up three times in three separate sessions.
When a goal is set up in analytics, it is assigned a unique ID. When a user completes the desired action that triggers the goal, the ID is recorded in the user's session data. Each time the user completes the action, a new session is created, and a new goal completion is recorded with a unique ID.
Therefore, if the user completes the newsletter sign-up three times in three separate sessions, analytics will count three goal conversions, each with a unique ID.
It's worth noting that while this behavior is typical for most analytics platforms, it's possible to configure goals in different ways, so the behavior may vary depending on the specific implementation. Therefore, it's important to consult the analytics documentation or work with a knowledgeable analyst to confirm the expected behavior.
Therefore, the correct answer is three goal conversions will be counted in analytics.
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City planners are creating a neighborhood map on a coordinate grid. the table shoes the locations of the neighborhood library and school on a coordinate grid. in this coordinate grid, the distance between each grid line represents 1 mileHow many miles apart the library and the school
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The library and the school are 9 miles apart
Here, we want to get the value of the distance between the library and the school
To do this, we shall be using the distance formula
We will incorporate the coordinates into the distance formula
We have this as;
\(\begin{gathered} D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ (x_1,y_1)\text{ = (-4,-6)} \\ (x_2,y_2)\text{ = (5,-6)} \\ \\ D\text{ = }\sqrt[]{(5-(-4))^2+(-6+6)^2} \\ \\ D\text{ = }\sqrt[]{9^2} \\ \\ D\text{ = 9 miles} \end{gathered}\)Find a and b????????????
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Answer:
Below
Step-by-step explanation:
The rule states that:
● | x | < 1 => -1 < x < 1
By anlogy
● | x - 5| < 6 => -6 < x - 5 < 6
● -6 < x - 5< 6
Add 10 both sides to get x + 5 (x-5+10 = x+5)
● -6 + 10 < x - 5 + 10 < 6 + 10
● 4 < x + 5 < 16
So a = 4 and b = 16
Translate the following sentence from English into symbolic
logic. No respectable scientists are astrologers. (Rx: x is
respectable; Sx: x is a scientist; Ax: x is an astrologer)
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No respectable scientists are astrologers can be translated into symbolic logic as follows:
∀x [(Rx ∧ Sx) → ¬Ax]
Let's break down the sentence:
- Rx: x is respectable.
- Sx: x is a scientist.
- Ax: x is an astrologer.
The statement "No respectable scientists are astrologers" can be translated as follows:
For all x, if x is both respectable (Rx) and a scientist (Sx), then x is not an astrologer (¬Ax).
In other words, every individual x who is both respectable and a scientist cannot be an astrologer.
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