If f(x) = 5x, what is f–1(x)?
What is the transformation that occurs to the equation y = 2^x if it changes to y = 2^(x - 8)?
The graph moves 8 units to the right.
The graph moves 8 units to the left.
The graph moves 8 units up.
The graph moves 8 units down.
the statement cot theta=12/5 sec theta= -13/5 and the terminal point determined by theta is in quadrant 4
perform the indicated operation 1/3 divide 3/8
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
perform the indicated operation 1/3 divide 3/8
divide the fraction 1/3 and 3/8
When we divide the fractions, we flip the second fraction and multiply with first fraction.
[tex]\frac{\frac{1}{3} }{\frac{3}{8} }[/tex]
When we flip 3/8 it becomes 8/3
[tex]\frac{1}{3} \cdot \frac{8}{3}[/tex]
Multiply numerator with numerator and denominator with denominator
1 times 8 is 8
3 times 3 is 9
So final answer is [tex]\frac{8}{9}[/tex]
Which of the following segments is a radius of K?
A) RT
B) MT
C) KM
D) MR
Observe the given figure, we have to determine the segments which is a radius of K.
1. RT is a diameter of a circle K as it is a straight line passing from side to side through the center of a circle.
2. MT is a chord of a circle K as it is the line segment connecting two points on a circle's circumference.
3. KM is a segment which is a radius of circle K as it is the length of the line from the center to any point on its edge.
4. MR is a chord of a circle K as it is the line segment connecting two points on a circle's circumference.
So, KM segment is a radius of circle K.
Therefore, option 3 is the correct answer.
Answer: KM
Step-by-step explanation:
The value of -4^2 is _____?
16
-16
8
-8
NEED HELP ASAP I will give you Brainly
Can someone please help me with this??
(PLEASE USE THE PICTURES ABOVE)
And please do what it says.
Thanks soo much
thanks
Make a the subject of the formula:p=2a-3
Write a percent proportion for which the percent is greater than 100 and the part is known. Use the percent equation to solve your problem to find the whole.
yepAnswer:
Step-by-step explanation:
Another term for mean is the arithmetic mean. Why is this so?
Answer:
It helps distinguish it from other means, such as the geometric mean and the harmonic mean. When someone asks for the average of a group of numbers, they’re most likely asking for the arithmetic mean. An arithmetic mean is calculated by adding several quantities together and dividing the sum by the number of quantities.
Step-by-step explanation:
I got a 100% for this answer :)
11) Write the equation of the circle with center (7, 3) and a radius of 2.
Answer:
(x - 7)² + (y - 3)² = 4
Step-by-step explanation:
The equation formula of a circle is (x - h)² + (y - k)² = r², where the center is at ordered pair (h, k) and r represents the radius in units.
With the information given in the question itself, we plug and play, simplifying if need be:
center (7, 3), h = 7, k = 3
radius = 2
(x - 7)² + (y - 3)² = (2)²
(x - 7)² + (y - 3)² = 4
The equation of this circle is (x - 7)² + (y - 3)² = 4
Is 23 a prime number or a composite number? Plzz help
Can someone help meh with this math question? I will award brainliest. For a standard-position angle determined by the point (x,y). what are the values of the trigonometric functions. For the point (6,8), find csc theta and sec theta?
The area of triangle ABC is 24 square centimeters. If B = 30° and a = 6 cm, what is the measure of side c? 4 cm 8 cm 16 cm 32 cm
Answer:
16 cm
Step-by-step explanation:
Given : The area of triangle ABC is 24 square centimeters.
To Find: If B = 30° and a = 6 cm, what is the measure of side c?
Solution:
Formula : [tex]Area = \frac{1}{2} \times a \times c \times sin B[/tex]
a = 6
Area = 24
B = 30°
Substitute the values in the formula
[tex]24 = \frac{1}{2} \times 6 \times c \times sin 30[/tex]
[tex]24 = \frac{1}{2} \times 6 \times c \times \frac{1}{2}[/tex]
[tex]24 =3 \times c \times \frac{1}{2}[/tex]
[tex]\frac{24 \times 2}{3} =c[/tex]
[tex]16=c[/tex]
Hence the measure of side c is 16 cm
So, Option c is correct.
The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.
Answer: 12 inches
Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.
Area = median · height
We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for m, we divide both sides of the equation by 12 and we find that 12 = M.
So the length of the median of the trapezoid is 12 inches.
Given an area of 144 square inches and a height of 12 inches, the median is found to be 24 inches.
To find the length of the median of a trapezoid, we can use the formula for the area of a trapezoid, which is:
Area = 0.5 × (Base1 + Base2) × Height
We are given that the area is 144 square inches and the height is 12 inches. The formula can be rearranged to solve for the average of the two bases or the median (M):
144 = 0.5 × M × 12
Simplifying this equation, we get:
M = (144 × 2) / 12
M = 288 / 12
M = 24 inches
Thus, the length of the median is 24 inches.
Anyone know the answer?
What is the greatest common factor of 73, 47, 74, and 79?
A rectangular prism has a volume of 150 cm3. if the height measures 3 cm and the width measures 2 cm, what must the length be to achieve the given volume?
How much 30% paint thinner solution should be added to a gallon of 10% paint thinner solution to make a solution that is 20% paint thinner
A street light is mounted on a pole. The tip of the shadow of a man who is standing on a street a short distance from the pole has an angle of elevation to the top of his head of 28°. A woman standing in the opposite direction of the pole as the man was standing on the same street has a angle of elevation from the tip of her shadow to her head of 24°. If the two people are 20 feet apart, how far is the street light from the head of the woman?
What’s the point-slope form of a line with slope 2/5 that contains the point (-3,6)
Answer:
The equation of this line is y - 6 = 2/5(x + 3)
Step-by-step explanation:
To find this, start with the base form of point-slope form.
y - y1 = m(x - x1)
Now put the slope in for m and the two coordinates in for (x1, y1).
y - 6 = 2/5(x + 3)
*PLEASE NEED HELP* (50 POINTS)
Find (f/g)(x)
f(x)= sqrt(x^2-1)
g(x)= sqrt(x-1)
_____________________________________________
a) sqrt(x+1)
b) sqrt(x-1)
c) sqrt((-x^2)/(-x+1))
d) sqrt((1)/(x+1))
Which products are greater than 2 5/6?
A.
1/8 × 2 5/6
B.
2 5/6 × 2 5/6
C.
2 5/6 × 1 5/8
D.
5/6 × 2 5/6
E.
6/5 × 2 5/6
After converting mixed numbers to improper fractions and completing the multiplication, options B, C, and E yield products that are greater than 2 5/6. Options A and D are less than 2 5/6.
Explanation:The question asks to evaluate which of the given products are greater than 2 5/6.
We will convert the mixed numbers to improper fractions to make the multiplication easier and then compare the products with 2 5/6 (= 17/6).
For option A (1/8 × 2 5/6), multiplying by 1/8 will clearly result in a product smaller than 2 5/6.For option B (2 5/6 × 2 5/6), squaring 2 5/6 will definitely give a product larger than 2 5/6 itself.For option C (2 5/6 × 1 5/8), since both numbers are greater than 1, their product will be greater than either of the numbers.For option D (5/6 × 2 5/6), 5/6 is less than 1, so the product will be less than 2 5/6.For option E (6/5 × 2 5/6), 6/5 is a reciprocal of 5/6 and is greater than 1, hence their product will be greater than 2 5/6.Therefore, the correct answers are options B, C, and E.
4(3x-12)=5 (2x+6)
Break down how to solve this
9514 1404 393
Answer:
x = 39
Step-by-step explanation:
The usual approach is ...
12x -48 = 10x +30 . . . . use the distributive property to eliminate parentheses
2x -48 = 30 . . . . . . . . . subtract 10x from both sides [1]
2x = 78 . . . . . . . . . . . . add 48 to both sides [2]
x = 39 . . . . . . . . . . . . divide both sides by the coefficient of x
The solution is x = 39.
__
Check
4(3x -12) = 5(2x +6) . . . . given
4(3·39 -12 = 5(2·39 +6) . . . . substitute for x
4(117 -12) = 5(78 +6) . . . . . . . multiply
4(105) = 5(84) . . . . . . . . . . . . add
420 = 420 . . . . . . . . . . . . . . multiply
The found value of x makes the equation true, so is the solution.
_____
Additional Notes
[1] The point of the solution process is to put the variable on one side of the equal sign and a constant on the other side. To that end, we subtract the smallest variable term from both sides of the equation. The net result is a variable term on one side of the equal sign that has a positive coefficient.
We could have subtracted either of the constant terms first, and subtracted the variable term second. In this latter approach, the variable term subtracted is the one on the same side of the equation as the remaining constant term. Unless care is taken to select the constant on the side of the largest variable term (for subtraction), the net result may be a negative variable term. Technically, that works just as well, but can tend to increase the probability of an error being made.
__
[2] We notice that all of the terms in the equation after the last step have the x-coefficient as a common factor. This gives us the opportunity to divide by that coefficient at this stage. Doing this would give x-24=15. Then adding 24 would give the same final solution. Sometimes I like to work equations this way so the variable is "bare" (has a coefficient of 1) sooner, and the numbers are smaller.
__
In this discussion, when we talk about subtracting or dividing, we mean the entire equation is involved. The properties of equality tell us the equal sign remains valid if the same operation is performed on both sides of the equation. Our discussion here takes for granted that understanding. We have occasionally said "[do such and such] to both sides". Even where it isn't stated, the "to both sides" always applies.
Rewrite the equation below so that it does not have fractions.2/3x-3=3/4Do not use decimals in your answer
The equation without fractions is 8x - 36 = 9.
To eliminate fractions from the equation 2/3x - 3 = 3/4, you can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 12:
(12) * (2/3x - 3) = (12) * (3/4)
This will clear the fractions:
2(4x) - 3(12) = 3(3)
Now, simplify each term:
8x - 36 = 9
So, the equation without fractions is:
8x - 36 = 9
To know more about fractions:
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Write p(x) = 21 + 24x + 6x2 in vertex form.
Answer:
p(x) = 6(x+2)^2 - 3
Step-by-step explanation:
The surface areas of two similar cones are 20 ft^2 and 125 ft^2. What is the scale factor?
A. 1/5
B. 2/5
C. 3/5
D. 4/5
The scale factor between two similar cones with surface areas of 20 ft² and 125 ft² is found by taking the square root of the ratio of the surface areas, which is [tex]\frac{1}{6.25}[/tex], resulting in a scale factor of B. [tex]\frac{2}{5}[/tex].
The question is asking about the scale factor between two similar cones with given surface areas. In the case of similar figures, the ratio of their surface areas is equal to the square of the scale factor. To find the scale factor, we take the square root of the ratio of the surface areas.
First, find the ratio of the surface areas: surface area of smaller cone : surface area of larger cone = [tex]\frac{20 ft^2}{125 ft^2}[/tex] = [tex]\frac{1}{6.25}[/tex].
Then, we take the square root of the ratio to find the scale factor: [tex]\sqrt{ (\frac{1}{6.25})}[/tex] = [tex]\frac{1}{2.5}[/tex], which simplifies to [tex]\frac{2}{5}[/tex]. Therefore, the scale factor is [tex]\frac{2}{5}[/tex], making option B the correct answer.
To find the scale factor between two similar cones, you can use the ratio of their corresponding lengths.
The surface area of a cone is proportional to the square of its height.
Let's denote the scale factor as kk. If A1A1 and A2A2 are the surface areas of the first and second cone respectively, then:
A1/A2=(k/1)^2
Given A1=20 ft^2 and A2=125 ft^2, we have:
20/125=(k/1)^2
Solving for k:
k= √ 20/125=√ 4/25=2/5=52
So, the correct answer is B. 2/5
complete question;
The surface areas of two similar cones are 20 ft^2 and 125 ft^2. What is the scale factor?
A. 1/5
B. 2/5
C. 3/5
D. 4/5
find the surface area of each figure. Round your answers to the nearest tenth, if necessary
Use the graph below to answer the question that follows: cosine graph with points at 0, 3 and pi, negative 5 and 2 pi, 3 What are the amplitude, period, and midline of the function?
Amplitude: 4; period: 2π; midline: y = −1
Amplitude: 8; period: 2π; midline: y = 1
Amplitude: 8; period: π; midline: y = −1
Amplitude: 4; period: π; midline: y = 1
Final answer:
The amplitude of the cosine function is 4, the period is 2π, and the midline is y = -1.
Explanation:
The question asks to determine the amplitude, period, and midline of a cosine function based on its graph. The amplitude is the maximum distance from the midline to the peak of the wave, which from the given points (0, 3) and (π, -5) is |-5 - 3| / 2 = 4. The period is the length of one complete cycle of the wave, which appears to be 2π since it starts repeating after (0, 3) to (2π, 3). The midline is the horizontal line that bisects the wave into two equal parts, which from the given points is at y = -1 since it's the average of the maximum and minimum values. The correct answer is: Amplitude: 4; period: 2π; midline: y = − 1.
Suppose that a stove and a freezer together weigh at least 370 pounds. The weight of the stove is 170 pounds. Which inequality correctly describes these conditions for the weight of the freezer,
The inequality representing the weight of the freezer when the stove weighs 170 pounds and the combined weight of both is at least 370 pounds is 170 + F ≥ 370.
To find the correct inequality for the weight of the freezer, given that the stove weighs 170 pounds and the combined weight of the stove and freezer is at least 370 pounds, you can represent this as an inequality.
Let F represent the weight of the freezer.The inequality that correctly describes the conditions is:170 + F ≥ 370
In this inequality, 170 represents the weight of the stove and F represents the weight of the freezer.
Therefore, the correct inequality is 170 + F ≥ 370.