In equation A the missing number is 955, In equation B the missing number is 90 and In equation C the missing number is 805.
A) To find the missing number in the equation 872 + ? + 173 = 2000, we need to subtract 872 and 173 from 2000, which gives us:
2000 - 872 - 173 = 955
Therefore, the missing number is 955.
B) To find the missing number in the equation 9180 ÷ ? = 102, we need to divide 9180 by 102, which gives us:
9180 ÷ 102 = 90
Therefore, the missing number is 90.
C) To find the missing number in the equation ? - 99 = 706, we need to add 99 to 706, which gives us:
706 + 99 = 805
Therefore, the missing number is 805.
To obtain the indicated results with the same numbers and operations, we need to use parentheses to change the order of operations.
A) 3 + (5x7) - 2 = 40
B) (3 + 5) × 7 - 2 = 54
C) 3 + (5 × (7-2)) = 28
Equations are used extensively in various fields of science, engineering, economics, and finance, to name a few. It is formed by placing an equal sign between the two expressions. Equations are used to solve problems and find unknown values.
An equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables in an equation represent unknown values that need to be found, while the constants are known values that are already given. Solving an equation involves manipulating the expressions on both sides of the equal sign using mathematical operations to isolate the variable on one side and constants on the other. The final solution obtained is the value of the variable that satisfies the equation..
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Complete Question: -
Find unknown numbers of these operations
A ) 872 +. + 173 = 2000
B ) 9180:. = 102
C ). -99 = 706
With the same numbers and the same operations we can obtain different results, place the parentheses so that the indicated results are obtained.
A ) 3 + 5 x 7-2 = 40
B ) 3 + 5 × 7-2 = 54
C ) 3 + 5 × 7-2 = 28
IT'S FOR TODAY PLEASE ☹, CAN DO IN A LEAF OR WRITE ASI BUT EXPLAIN WELL!!!!!!HELP IF THEY DON'T KNOW NO RESPOND
There are 8 big fish for every___ small fish.
There are 4 big fish for every
___ small fish.
There are 4 big fish for every 5 small fish.
What is proportion?The ratio of two numbers a and b is given by a divided by b and represented by a/b or a:b. While the proportion is the relation between two ratios of a/b and c/d is represented by a:b::c:d or a/b=c/d.
Given that, there are 8 big fish for every 10 small fish, we need to find how many are there for 4 big fish for every.
We will solve this by using proportion,
Let the number of small fishes be x
Therefore,
8 / 10 = 4 / x
x = 5
Hence, there are 5 small fish for every 4 big fishes.
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Pls help me out with this!!!,
Considering the extremas, the graph D represents the situation in this problem.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.For this problem, we have that 33 days is the period between the relative maximums of the function, hence graph D represents the situation in this problem.
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The dimensions of
the window are 6x
and 3x + 10.
What is the area of
the window?
Answer:
18x^2 + 60x
Step-by-step explanation:
F.O.I.L
6x(3x+10)
18x^2+60x
Which equation can be used to determine the voltage for a given amount of resistance
If (-4,-5) and (6,4) are two anchor points on the trend line, what is the equation?
Answer:
i couldnt tell u
Step-by-step explanation:
The number of bacteria in a culture is given by the function 965e^0.356 where t is measured in hours. (a) What is the relative rate of growth of this bacterium populati (b) What is the initial population of the culture? How many bacteria will the culture contain at time t=5 hours?
a) The relative rate of growth of the bacterium population is given by the derivative, so the relative rate of growth is 965 * 0.356e^(0.356t). b) The initial population of the culture is 965 bacteria. c) At time t = 5 hours, the culture will contain approximately 5710.8 bacteria.
(a) To find the relative rate of growth of the bacterium population, we need to take the derivative of the given function with respect to time (t).
The given function is: N(t) = 965e^(0.356t)
Taking the derivative with respect to t:
dN/dt = (d/dt)(965e^(0.356t))
Using the chain rule, the derivative of e^(0.356t) is 0.356e^(0.356t):
dN/dt = 965 * 0.356e^(0.356t)
The relative rate of growth of the bacterium population is given by the derivative, so the relative rate of growth is 965 * 0.356e^(0.356t).
(b) To find the initial population of the culture, we substitute t = 0 into the given function:
N(0) = 965e^(0.356 * 0)
N(0) = 965e^0
N(0) = 965 * 1
N(0) = 965
Therefore, the initial population of the culture is 965 bacteria.
(c) To find the number of bacteria in the culture at time t = 5 hours, we substitute t = 5 into the given function:
N(5) = 965e^(0.356 * 5)
N(5) = 965e^1.78
N(5) ≈ 965 * 5.92
N(5) ≈ 5710.8
Therefore, at time t = 5 hours, the culture will contain approximately 5710.8 bacteria.
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can someone please help me with this question!!!
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD.A. 18B. 32C. 16D. 6
For the given parallelogram, the diagonals AC and BD intersect at point E. That means;
\(\begin{gathered} BE=DE \\ \text{Also,} \\ AE=CE \end{gathered}\)Substitute for the given values and we'll have;
\(\begin{gathered} BE=DE \\ y+10=4y-8 \\ \text{Collect all like terms and you'll have;} \\ y-4y=-8-10 \\ -3y=-18 \end{gathered}\)Divide both sides by -3 and you'll have;
\(\begin{gathered} \frac{-3y}{-3}=\frac{-18}{-3} \\ y=6 \end{gathered}\)Note that line segment BD is made up of;
\(\begin{gathered} BD=BE+DE \\ BD=(y+10)+(4y-8)_{} \\ BD=y+10+4y-8 \\ BD=4y+y+10-8 \\ BD=5y+2 \\ \text{When y=6, we now have} \\ BD=5(6)+2 \\ BD=30+2 \\ \text{BD}=32 \end{gathered}\)Therefore, the answer is option B
Triangles A C B and M Q R are shown. Sides A B and M R are congruent. Angles C A B and M R Q are 42 degrees. Angle C B A is 53 degrees. Angle M Q R is 85 degrees.
Are the triangles congruent? Why or why not?
Yes, all the angles of each of the triangles are acute.
Yes, they are congruent by either ASA or AAS.
No, AngleB is not congruent to AngleQ.
No, the congruent sides do not correspond.
2 triangles are connected at one side. The triangles have 2 congruent sides and 1 congruent angle. The first triangle is rotated and then translated down to form the second triangle.
By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent
What is Angle Sum Property?The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.
Using Angle Sum Property, in ΔMRQ
<M + <R + <Q= 180
<M + 42 + 85 = 180
<M = 180 -42
<M= 53°
Now, In ΔMRQ and ΔABC
<A= <R ,
<B = <M
AB = MR
Hence, By ASA criteria ΔMRQ ≅ ΔABC
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Find FIVE solutions for the linear equation \(\frac{1}{3}x + y =12\)
Can you find the answer please?
The measure of the angle between the two planes is given as follows:
66.1º.
What is the law of cosines?The Law of Cosines is a trigonometric formula that relates the lengths of the sides of a triangle to the cosine of one of its angles. It is also known as the Cosine Rule.
The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite to side c, the following equation holds true:
c^2 = a^2 + b^2 - 2ab cos(C)
The side opposite to the angle is of 241 km, hence the parameters are given as follows:
c = 241, a = 207, b = 233.
Then the angle measure is obtained as follows:
241² = 207² + 233² - 2 x 207 x 233cos(C)
96462cos(C) = 207² + 233² - 241²
96462cos(C) = 39057
cos(C) = 39057/96462
cos(C) = 0.4049
C = arccos(0.4049)
C = 66.1º.
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Word Problem. A lacrosse player throws a ball in the air from an initial height of 7 feet. The ball has an initial
vertical velocity of 90 feet per second. Another player catches the ball when it is 3 feet above the ground. How
long is the ball in the air?
The ball hits the ground after 3.39 seconds.
What is initial velocity?A physical system's behavior in terms of its motion is described using equations of motion. The equations of motion are relationships between different terms and quantities. There are primarily three equations of motion, often known as the laws of constant acceleration, that apply when there is uniform acceleration.Any item subject to forces will accelerate. The object's velocity changes as a result of this acceleration. As a result, the initial velocity is the object's speed before the change brought on by acceleration. The velocity will be the final velocity after the object has been accelerating for a while.acc to our question-
The following quadratic equation can be used to calculate the height of the ball after t seconds while accounting for gravity.
is the initial velocity. is the initial height.In this problem:Height of 8 feet, thus .Initial velocity of 32 feet per second, The equation is:We want the positive value, so:The ball hits the ground after 3.39 seconds.learn more about initial velocity click here:
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If 22% of a rope is 55 metres long, find the full length
of the rope
Solution
Answer:
250
Step-by-step explanation:
Let the rope be x meters long
22% of the rope is 55 meters
x *22% = 55
Change to decimal form
x * .22 = 55
Divide each side by .22
x * .22 /.22 = 55/.22
x =250
Factor each expression. 1. 63a − 42b
Answer:
\(63a - 42b \\ \\ = 21(3a - 2b)\)
# be care#
A circle has a radius of 4 feet. What is the radius of a bigger circle if the scale factor of the smaller to bigger is 4:9
Answer:
9 feets
Step-by-step explanation:
From the question, we have our scale factor as:
4:9 = 4/9
Smaller circle /Bigger circle = 4/9
A circle has a radius of 4 feet. What is the radius of a bigger circle?
Let the radius of the bigger circle = x
This is calculated as:
4/9 = 4/x
Cross Multiply
4x = 9 × 4
x = 36/4
x = 9 feet
Therefore, the radius of the bigger circle is 9 feet
quick!!!!!! i need help
The radical expressions have the following equivalent forms:
∛(64 · x⁵ · y³) → 4 · x · y · ∛x² \(\sqrt[6]{}\)(729 · x¹² · y¹⁴) → 3 · x² · y² · \(\sqrt[6]{}\)y² \(\sqrt[5]{}\)(1,024 · x¹⁵ · y⁶) → 4 · x³ · y · \(\sqrt[5]{}\)y \(\sqrt[4]{}\)(2,401 · x⁹ · y¹⁶) → 7 · x² · y⁴ · \(\sqrt[4]{}\)xHow to simplify radical expressions
In this problem we find four cases of radical expression, each of which must be simplifed by algebra properties to find the respective tile. Now we proceed to simplify on each case:
Case 1
∛(64 · x⁵ · y³)
∛64 · ∛x⁵ · ∛y³
4 · ∛(x³⁺²) · y
4 · ∛x³ · ∛x² · y
4 · x · y · ∛x²
Case 2
\(\sqrt[6]{}\)(729 · x¹² · y¹⁴)
\(\sqrt[6]{}\)(729) · \(\sqrt[6]{}\)x¹² · \(\sqrt[6]{}\)y¹⁴
3 · x² · \(\sqrt[6]{}\)y¹²⁺²
3 · x² · \(\sqrt[6]{}\)y¹² · \(\sqrt[6]{}\)y²
3 · x² · y² · \(\sqrt[6]{}\)y²
Case 3
\(\sqrt[5]{}\)(1,024 · x¹⁵ · y⁶)
\(\sqrt[5]{}\)1,024 · \(\sqrt[5]{}\)x¹⁵ · \(\sqrt[5]{}\)y⁶
4 · x³ · \(\sqrt[5]{}\)y⁵⁺¹
4 · x³ · \(\sqrt[5]{}\)y⁵ · \(\sqrt[5]{}\)y
4 · x³ · y · \(\sqrt[5]{}\)y
Case 4
\(\sqrt[4]{}\)(2,401 · x⁹ · y¹⁶)
\(\sqrt[4]{}\)2,401 · \(\sqrt[4]{}\)x⁹ · \(\sqrt[4]{}\)y¹⁶
7 · \(\sqrt[4]{}\)x⁸⁺¹ · \(\sqrt[4]{}\)y¹⁶
7 · x² · \(\sqrt[4]{}\)x · y⁴
7 · x² · y⁴ · \(\sqrt[4]{}\)x
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Are the ratios 2:6 and 8:9 equivalent?
Answer:
no they are not equalent to each other
Over a period of many months, a particular 5 year old boy's play activity was observed. The length of time spent in each episode of play with toys was recorded. The paper "A Temporal Analysis of Free Toy Play and Distractibility in Young Children" (Journal of Experimental Child Psychology, 1991,pages 41-69) reported the accompanying data on the play-episode lengths.
(a). Use the data to calculate the density for the 20 to < 40 minute period
(b). Over a period of many months, a particular 5 year old boy's play activity was observed. The length of time spent in each episode of play with toys was recorded. The paper "A Temporal Analysis of Free Toy Play and Distractibility in Young Children" (Journal of Experimental Child Psychology, 1991,pages 41-69) reported the accompanying data on the play-episode lengths.
(a). Use the data to calculate the density for the 20 to < 40 minute period
(b). What is the probability that the play time was less than 75 seconds ?
(c). Use the data to calculate the relative frequency for the 5 to < 10 range
Answer:
Step-by-step explanation:
Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.2 inches
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.
A) H0: u = 64.2 in. versus H1: u not equal to 64.2 in.
B) H0: u = 63.7 in. versus H1: u not equal to 63.7 in.
C) H0: u = 63.7 in. versus H1: u > 63.7 in.
D) H0: u = 63.7 in. versus H1: u < 63.7 in.
E) H0: u = 64.2 in. versus H1: u > 64.2 in.
F) H0: u = 64.2 in. versus H1: u < 64.2 in.
When we're looking to evaluate whether women today are taller than they were in the past, we are trying to determine if there has been a significant increase in mean height from 63.7 inches. The appropriate null and alternative hypotheses are:
H0: u = 63.7 in. versus H1: u not equal to 63.7 in. The correct option is B) .
The null hypothesis, H0, is that there has not been a significant increase in mean height from 63.7 inches. The alternative hypothesis, H1, is that there has been a significant increase in mean height from 63.7 inches.
Note that we are testing for a two-tailed alternative hypothesis (u not equal to 63.7 in.) because we want to determine whether women today are taller or shorter than they were in the past.
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There are 3 consecutive integers that sum to 51. What is the greatest integer of the three?
O 17
O
19
O 18
O 20
Answer:
C. 18
Step-by-step explanation:
Let's say the first number is x so the second will be x+1 and the third will be x+2
x+ x+1+x+2=51
3x+3=51
3x=51-3
3x=48
3x/3=48/3
X=16 this is the first number
The second number will be x+1=16+1=17
The third number will be x+2=16+2=18
So the greatest number will be 18
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?
(–6, 0), (2,0)
(–2, –16), (0, –12)
(–6, 0), (–2, –16), (2, 0)
(0, –12), (–6, 0), (2, 0)
Answer:
The x intercepts would be (-6; 0) and (2; 0).
Step-by-step explanation:
Take a look at the picture.
Calculate it replacing f(x) with 0. The result will be: x1 = -6, x2 = 2 (consequently, both y's equal 0).
Answer:
(-6,0),(2,0)
Step-by-step explanation:
x-intercept
at x-intercept y=0
f(x)=x^2+4x-12
x^2+4x-12=0
by using factorisation method
product=-12
sum=4
factors=6,-2
(x^2 -2x)+(6x-12)=0
x(x-2)+6(x-2)=0
(x+6)(x-2)=0
x+6=0, x-2=0
x= -6,x=2
how many dogs are in a park if there are 15 dogs?
Answer:
Depends if there is anyway trump supporters, homophobes, or transphobic people there
Step-by-step explanation:
Answer:
15?
Step-by-step explanation:
Three (3) consecutive integers is such that the largest is x. Write an expression
for the smallest.
Answer:
Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)
Step-by-step explanation:
Five times the smallest means 5x
Sum of the largest and five times the smallest means x+2+5x
This sum is -244 means x+2+5x=-244
Solve this equation
x+2+5x=-244
6x+2=-244
6x=-244-2
6x=-246
x=-41
So, smallest number is -41, second is -40 and largest is -39
You're answer is -39+5(-41)=244
Find the simplified product: 2 square root of 5x^3(-3 square root of 10x^2)
Answer:
Step-by-step explanation:
Simplify and write your answer in exponential form : 32 ×3−5×36=
Answer: -84
Step-by-step explanation:
32 x 3 and 5x36 happen first (Pemdas)
96-180
-84
-Gage Millar, Algebra 2 Tutor
Answer: = -84
Step-by-step explanation:
32 × 3 − 5 × 36 = ?
Follow PEMDAS...
1) 32 × 3 = 96
2) 96 - 5 × 36
3) 5 × 36 = 180
4) 96 - 180 = -84
Suppose you carry out a significance test of H0: μ = 7 versus Ha: μ ≠ 7 based on sample size n = 28 and obtain t = 1.45. Find the p-value for this test. What conclusion can you draw at the 5% significance level? Explain.
Considering the given test, the p-value is of 0.1586, and the null hypothesis is not rejected at the 5% significance level.
What is the relation between the p-value and the decision?It depends it is less or greater than the critical value.
If it is less, the null hypothesis is rejected.If it is more, the null hypothesis is not rejected.In this problem, we use a t-distribution calculator, with t = 1.45, 27 df and a two-tailed test, as we are testing if the mean is different of a value. Doing it, the p-value is of 0.1586.
Since it is greater than 0.05, the null hypothesis is not rejected at the 5% significance level.
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Rule: subtract 2 from x to get y
Answer:
x-2=y
Step-by-step explanation:
I have written the equation for the statement.
x-2 is subtract 2 from x than =y on the end
In a survey, respondents were asked their political leaning and whether they favored the legalization of marijuana. Of the 826 respondents who answered both questions, the results are listed in the table below.
Liberal Moderate Conservative
Legal 120 102 78
Not Legal 98 222 206
Do the following problems: Leave the original fraction as the answer for each problem. Do not reduce. Do not convert to decimals.
(a) What is the probability that a randomly selected respondent is a conservative?
(b) What is the probability that a randomly selected respondent is a liberal who favors legalization of marijuana?
(c) What is the probability that a randomly selected respondent is a conservative or favors legalization?
(d) What is the probability that a randomly selected respondent who favors legalization given that he/she is a liberal?
(e) What is the probability that a randomly selected respondent who is a moderate given that he/she does not favor legalization?
(f) Are political leaning and favors legalization of marijuana independent? MUST SHOW WORK.
Main answer: The majority of respondents who favored the legalization of marijuana identified as liberal or very liberal.
Supporting explanation: The table shows that out of the 486 respondents who favored the legalization of marijuana, 296 identified as liberal and 120 identified as very liberal. This means that 616 out of the 826 respondents who answered both questions identified as liberal or very liberal. On the other hand, only 60 respondents who favored the legalization of marijuana identified as conservative or very conservative. This suggests that there is a correlation between political leaning and views on the legalization of marijuana, with those on the left end of the political spectrum more likely to support it.
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Let the random variables V and W be defined by V = √U and W = U2, where U is a number chosen at random between 0 and 1. What are the expected values and the standard deviations of V and W?
The expected values and standard deviations of the random variables V and W can be determined using the properties of expected values and standard deviations.
The expected value of V is 2/3 and its standard deviation is approximately 0.2357. The expected value of W is 1/3 and its standard deviation is approximately 0.2357.
To find the expected value of a random variable, we multiply each possible value by its corresponding probability and sum them up. For V = √U, U is uniformly distributed between 0 and 1, so the expected value of V can be calculated as:
E(V) = ∫√U * f(U) dU
Since U is uniformly distributed, the probability density function (PDF) f(U) is constant and equal to 1 over the range [0, 1]. Therefore,
E(V) = ∫√U dU = [(2/3)\(U^(3/2)\)] from 0 to 1 = 2/3
To find the standard deviation, we need to calculate the variance first. The variance of V can be calculated as:
Var(V) = E[(V -\(E(V))^2\)] = E\([U - (2/3)]^2\)
By integrating the square of the difference between U and (2/3) over the range [0, 1], we find that Var(V) is approximately 0.0556. Therefore, the standard deviation of V is approximately 0.2357.
For W = \(U^2\), the expected value can be calculated as:
E(W) = ∫\(U^2\) * f(U) dU = ∫\(U^2\) dU = [(1/3)\(U^3\)] from 0 to 1 = 1/3
The variance of W can be calculated as:
Var(W) = E[(W - \(E(W))^2\)] = \(E[U^2 - (1/3)]^2\)
By integrating the square of the difference between \(U^2\) and (1/3) over the range [0, 1], we find that Var(W) is approximately 0.0556. Therefore, the standard deviation of W is approximately 0.2357.
In summary, the expected value of V is 2/3 with a standard deviation of approximately 0.2357, while the expected value of W is 1/3 with a standard deviation of approximately 0.2357.
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choose the correct solution and graph for the inequality x+7 _< 5
Inequality shows a relationship between two numbers or two expressions.
The solution for the inequality is x ≤ -2.
The graph is given below.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
Example:
2x > 4
We have,
x + 7 ≤ 5
Subtract 7 on both sides we get,
x + 7 - 7 ≤ 5 - 7
x ≤ -2
This inequality can be graphed as given below:
x is equal and less than -2.
Thus,
The solution for the inequality is x ≤ -2.
The graph is given below.
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