Answer:
D. 18Step-by-step explanation:
This is the combination of 3, 3 and 2 options.
The number of combinations is:
3*3*2 = 18Correct choice is D
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.
Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Step-by-step explanation:
25m + 10b = 400
not enough info to solve for m or b. but that's the equation you would use.
x=-4y-23
2x+2y=-4
solve using linear combination method
Answer:
(5,7)
x = 5
y = 7
find the total surface area of this cuboid.
6cm
5cm
4cm
Answer:
148cm^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(6 x 5) + 2(6 x 4) + 2(4 x 5)
= 2(30) + 2(24) + 2(20) then simplify
= 60 + 48 + 40
= 148
Solve the problem below. Be sure to show all calculations.
Explanations given to justify your solution. Please help!
Answer:
Angle BCD = 25 degrees, angle ABC = 94 degrees, angle ACB = 43 degrees
Step-by-step explanation:
This is an Isosceles triangle, so Angle BCD = 180 - 22 - 133 = 25 degrees.
Angle ABC = 360 - 133 - 133 = 94 degrees.
Angle ACB = (180 - 94)/2 = 43.
Ricardo bought a bicycle that was discounted 20% off the original price. If the original price was $110.00, what was the price of the bicycle after the discount was applied?
Answer:
88$
Step-by-step explanation:
Work out the size of angle x.
Answer:
x = 46°
Step-by-step explanation:
Angles on a straight line sum to 180°.
Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:
⇒ 180° - 130° = 50°
The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:
⇒ 180° - 96° = 84°
The interior angles of a triangle sum to 180°. Therefore:
⇒ 50° + 84° + x = 180°
⇒ 134° + x = 180°
⇒ 134° + x - 134° = 180° - 134°
⇒ x = 46°
Therefore, the size of angle x is 46°.
6
Your sister works as a tutor in the evenings.
Last school year she charged $25 per hour
for her services. After taking some
certification classes over the summer, she
increased her hourly charge by 40%. How
much does your sister now charge per hour
for her tutoring services?
Answer:
$35
Step-by-step explanation:
(8m-3n)^2 - (4m+3n)^2
Answer:
48m^2-72mn
Step-by-step explanation:
I'm quite sure that 48m^2=72mn is the answer that you want, but if you are calculating the factors, the answer is, 24m(2m-3n).
Hope this helped! :)
3(x+7)+6=-9 there is no
answer for this
Answer:
x= -12
Step-by-step explanation:
3(x+7)+6= -9
3x+21+6= -9
subtract 6 from both sides that gives you your equation that you can work with.
3x+21= -15
then subtract 21 from both sides that gives you
3x/3 = -36/3
the 3 cancels out and leaves you with -36 divided by 3
your answer is -12
\(\text {Hello! The answer to your problem is...}\)
\(\fbox {x=-12}\)
\(\text {Your 1st Step is to Simplify the Equation}\)
\(\text {(3)(x)+(3)(7)+6=-9 (Distribute)}\)
\(\text {3x+21+6=-9}\)
\(\text {(3x)+(21+6)=-9 (Combine Like Terms)}\)
\(\text {3x+27=-9}\)
\(\text {Your 2nd Step is to Subtract 27}\)
\(\text {3x+27-27=-9-27}\)
\(\text {3x=-36}\)
\(\text {Your 3rd/Final Step is to Divide 3}\)
\(\text {3x/3=-36/3}\)
\(\fbox {x=-12}\)
\(\text {Best of Luck!}\)
\(\text {-LimitedX}\)
What is the formula for the distance between 2 points?
What is the first step needed to solve
4/7X-5=-13
a
Subtract 13 from both sides
b
Divide both sides by 7
с
Add 5 to both sides
d
Multiply both sides by 4
Answer:
D
Step-by-step explanation:
4×4/7x4×-5=-13×4
7x-20=-52
7x=-52+29
X=-22
Help me shoe work on this question please
The line /TV/ that we have been asked to find from the information is the question is obtained as 7.
What is the sine rule?The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.
We know that the missing angle U is obtained from;
180 - (58.3 + 80)
= 41.7°
Then;
8.9/Sin 58.3 = /TV//Sin 41.7
/TV/ = 8.9 Sin 41.7/Sin 58.3
/TV/ = 5.9/0.85
= 7
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if 5 large potatoes are 1 kg how many potatoes are in 10 kg
Answer:
10 potatoes
Step-by-step explanation:
because if 1kg has 5 then 2kg will be double the amount.
hope this helps:>
what value is NOT located between these two numbers on the line?
Answer:
pi/0.25
Step-by-step explanation:
pi/0.25 = 12.5663
There are six boys to every five girls in an introductory geology course. If there are 374 students enrolled in the course, how many are boys
there are approximately 34 boys in the introductory geology course.
To determine the number of boys in the introductory geology course, we need to calculate the ratio of boys to girls and use the total number of students enrolled.
The given ratio states that there are six boys for every five girls. This can be expressed as 6 boys : 5 girls.
Let's assume the number of boys in the course is represented by B and the number of girls is represented by G.
According to the given information, we can set up the following equation:
6 boys / 5 girls = B / G.
Since the total number of students enrolled in the course is 374, we can write another equation:
B + G = 374.
To solve these equations simultaneously, we can use the concept of proportion.
From the first equation, we can rewrite it as:
6G = 5B.
Now we can substitute this expression into the second equation:
B + G = 374
5B + 6B = 374
11B = 374
B = 374 / 11
B ≈ 34.
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At the Jackson Zoo, 1/2 of the animals are primates. Of the primates, 1/2 are monkeys. What fraction of the animals at the Jackson Zoo are monkeys?
The fraction 1/4th of the animals at the Jackson Zoo are monkeys.
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
At the Jackson Zoo, 1/2 of the animals are primates
So if x is the total animals in that zoo, total primates are x/2.
Now out of them, 1/2 are monkeys i.e 1/2 of x/2
= x/4.
Hence 1/4 th fraction of the animals at the Jackson Zoo are monkeys.
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30pts + Brainliest to correct answer!!
As indicated below, write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x.
Part 1: Point-Slope form of the linear equation
Part 2: Slope-intercept form of the linear equation
Part 3: The general form of the linear equation
Answer:
See answers below
Step-by-step explanation:
Equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line
Given the line y = x
The slope of the line is 1.
The slope of the line perpendicular is M = -1
Given the point (2,2)
x0 = 2 and y 0 = 2
Substitute
Recall y-y0 = m(x-x0)
y - 2 = -1(x-2) (Point slope form)
Express in slope intercept form;
y - 2 = -1(x-2)
Make y the subject of the formula;
y -2 = -x + 2
y = -x + 2 + 2
y = -x + 4 (slope intercept form)
The general form of linear equation is expressed as the slope intercept form which is y = -x+4
let y = f(x)
f(x) = -x+4
f(x) = 4-x (Linear equation)
Please answer this math question !! 20 POINTS AND BRAINLIEST!!
Answer:
3.1 ≤d≤183.1
Step-by-step explanation:
d = 4.5t + 3.1
Since this is a line, we can find the range by putting in the minimum and maximum of the domain
domain = 0≤t≤40
Let t =0
d = 0+3.1 so the minimum of the range is 3.1
Let t = 40
d = 4.5(40)+3.1
d = 183.1 so the maximum is 183.1
The range is 3.1 ≤d≤183.1
heeeeeeeellllllllllllpppppppppppppp
Find the missing number so that the equation has no solutions. -4(-X + 8) = -3(2x + 7) + __x + 9
In order to have an equation with no solution, the variable x should not appear in the equation and the final sentence must be false.
So, using the variable 'y' to represent the missing number and simplifying the equation, we have:
\(\begin{gathered} -4(-x+8)=-3(2x+7)+yx+9 \\ 4x-32=-6x-21+9+yx \\ 4x+6x-yx=32-21+9 \\ 10x-yx=20 \\ (10-y)x=20 \end{gathered}\)Since we want the variable x to disappear (this way we will have 0 = 20, which is false), we need the coefficient (10 - y) to be zero:
\(\begin{gathered} 10-y=0 \\ y=10 \end{gathered}\)So the missing number is 10.
Suppose that, in an alternate universe, the possible values of m
l
are the integer values including 0 ranging from −l−1 to l+1 (instead of simply −l to +l ). How many orbitals would exist in each of the following subshells? A. p subshell B. d subshell Which atomic orbitals have values of n=3 and I=1 ?
A. In the alternate universe, the p subshell would have 5 orbitals.
B. In the alternate universe, the d subshell would have 10 orbitals.
In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.
A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).
B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).
Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.
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Confidence intervals of the population mean may be created for the cases when the population standard deviation is known or unknown. How are these two cases treated differently?.
By using the concept of population standard deviation and sample standard deviation, it can be inferred that
2nd and 4th option is correct
What is standard deviation?
At first, it is important to know about variance.
Variance is the sum of the square of deviation from the mean.
On taking the square root of the variance, standard deviation is obtained.
Here, the cases are
1) Population standard deviation \((\sigma)\) is known
2) Population standard deviation \((\sigma)\) is unknown
3) Sample standard deviation (s) is known
4) Sample standard deviation (s) is unknown
Now,
Formula for z
z = \(\frac{x - \mu}{\sigma}\) , \(\mu\) is the population mean, \(\sigma\) is the population standard deviation
Formula for t
t = \(\frac{x - \mu}{s}\) , s is the sample standard deviation
So if Population standard deviation \((\sigma)\) is known and Sample standard deviation (s) is unknown, z table is used
If Population standard deviation \((\sigma)\) is unknown and Sample standard deviation (s) is known, t table is used
So 2nd and 4th option is correct
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Complete Question
The complete Question has been attached here
Find the slope and the equation of the tangent line to the graph of the function at the given value of x. y=x 4
−10x 2
+9;x=1 The slope of the tangent line is (Simplify your answer.) The equation of the tangent line is
The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.
The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.
Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:
dy/dx = 4x^3 - 20x
To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:
dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16
Therefore, the slope of the tangent line is -16.
To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:
y - y(1) = -16(x - 1)
Expanding the equation and simplifying, we have:
y - y(1) = -16x + 16
Rearranging the equation, we obtain the equation of the tangent line:
y = -16x + (y(1) + 16)
To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.
In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.
The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.
To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.
Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).
The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.
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The area of a circle is 9 ft. What is the circumference, in feet?
Answer:
Circumference: 10.63
Hope this helps.
Find the area of quadrilateral ABCD. Round the area to the nearest whole number, if necessary. A(-5, 4) 4 B(0, 3) 2. F(-2, 1) -2 2. 6 x -2 24 E(2, -3) D( 45) 6 X The area is X x square units
Answer:
26
Go it correct in big math ideas.
Step-by-step explanation:
We have that
The area of quadrilateral is easily determined by assessing the shape and determining the right equation to calculate with.
From the Question we are told that
Quadrilateral ABCD.
Generally the equation for the Quadrilateral ABCD is mathematically given as
With a quadrilateral with two equal sides such as Squares ,Parallelogram, Rectangle,Rhombus their areas are straight forward
A= One Horizontal side * One Vertical side
But for unequal quadrilateral like
Trapezium
\(A=\frac{a+b}{2}*h\\\)
Where a and b are the top and bottom side respectively
In conclusion
The are many Quadrilateral of variant shapes Squares ,Parallelogram, Rectangle,Rhombus. The area of quadrilateral is easily determined by assessing the shape and determining the right equation to calculate with.
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BRAINLIEST FOR BEST ANSWER ** What is the degree number of Z?
Answer:
the answer is D. 147 degrees
Step-by-step explanation:
114+33=147
check answer by
180-147=33
33+33+114=180
Step-by-step explanation:
I'm pretty sure the answer is D) 147°
2) a researcher stands on a street corner in harrisonburg, and asks people who pass by them to complete a survey. what type of sampling strategy are they using and why do you think so?
The researcher is using convenience sampling as their sampling strategy. Convenience sampling involves selecting participants who are readily available and easily accessible.
In this case, the researcher is approaching people who pass by them on a street corner, which is a convenient and accessible location.
Convenience sampling is often used when time, resources, or logistics constraints make it challenging to implement more rigorous sampling methods. While convenient, this sampling strategy may introduce bias and may not represent the larger population accurately. People who pass by a specific street corner may not be representative of the entire population of interest, leading to potential sampling bias.
However, convenience sampling can be useful for obtaining quick insights or conducting exploratory research. It allows researchers to collect data efficiently and can serve as a starting point for further investigation. Nevertheless, it is important to acknowledge the limitations and potential biases associated with convenience sampling when interpreting the results.
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A local artist working at the town fair makes caricatures and portraits. The caricatures cost $4 to make white
the portraits cost $10 to make. It takes 20 minutes to make a caricature and 30 minutes to make a portrait. The
artist can spend no more than $360 for supplies and can stay no more than 20 hours at the fair. She would like
to charge $10 for a caricature and $20 for a portrait. She is going to donate all proceeds of the weekend fair to a
local charity. How many caricatures and how many portraits should she make in order to maximize the
donation for the charity?
1. Identify the variables for this problem.
2. Write four inequalities that constrain the problem.
Answer:
The artist should make 15 caricatures and 30 portraits.
Step-by-step explanation:
First, we identify the variables for the problem. In this case, the variables will be:
C=number of caricatures
P= number of portraits.
Next, we can use the variables to make the inequalities that constrain the problem.
We know the artist can't spend more than $360 for supplies and we also know that it costs $4 to make a caricature and $10 to make a portrait, so:
\(4C+10P\le 360\)
We also know the artist has a limit of time of 20 hours, which is the same as 20*60=1200 minutes to paint. We know it takes her 20 minutes to make a caricature and 30 minutes to make a portrait, so:
\(20C+30P\le 1200\)
and we also know she must make a positive number of caricatures and a positive number of portraits so the other two constrains are:
\(C\ge 0\)
\(P\ge 0\)
So we can go ahead and graph them. (see attached picture)
Once we graphed the inequalities we can determine what the corners of the polygon created by the intersection of the shaded areas are, so we proceed and calculate them:
first point:
(0,0)
second point:
4(0)+10P=360
\(P=\frac{360}{10}\)
P=36
(0,36)
Third point:
20C+30(0)=1200
\(C=\frac{1200}{20}\)
C=60
(60,0)
Fourth point:
\(4C+10P = 360\)
\(20C+30P = 1200\)
We multiply the first equation by -5 so we get:
-20C-50P=-1800
20C+30P=1200
------------------------
-20P=-600
P=30
so:
20C+30(30)=1200
20C=1200-900
20C=300
C=15
(15,30)
Once we found the 4 points, we go ahead and evaluate them for the objective function. In this case, the objective function is the total amount of money she got from selling the pieces of art, so we get:
I=10C+20P
Point 1
I=10(0)+20(0)=0
Point 2
I=10(0)+20(36)=720
Point 3
I=10(60)+20(0)=600
Point 4
I=10(15)+20(30)=750
Next, we look for the greatest income which in this case will be 750 so that's why she must make 15 caricatures and 30 Portraits.
I need help solving this problem.I have to find the missing sides of the special right triangle
As given by the question
There are given that the right angle triangle
Now,
From the triangle, first, find the value of ST
So,
To find the value of ST, use the sine function
Then,
\(\sin 30^{\circ}=\frac{ST}{RT}\)Then,
\(\begin{gathered} \sin 30^{\circ}=\frac{ST}{RT} \\ \frac{1}{2}^{}=\frac{ST}{12} \\ 2\times ST=12 \\ ST=\frac{12}{2} \\ ST=6 \end{gathered}\)Now,
To find the value of RS, use sine function also
So,
\(\begin{gathered} \sin 60=\frac{RS}{RT} \\ \frac{\sqrt[]{3}}{2}=\frac{RS}{12} \\ 2\times RS=12\times\sqrt[]{3} \\ RS=\frac{12\times\sqrt[]{3}}{2} \\ RS=6\sqrt[]{3} \end{gathered}\)Hence, the value of ST and RS is shown below:
\(undefined\)joseph can ride his bike 32 miles in 5 hours. kyle can ride his bike 20 miles in 3 hours who would ride farther in 15 hours explain .