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
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.
A triangular building is bounded by three streets. The building measures approximately 83 feet on the first street, 189 feet on the second street, and 178 feet on the third street. Approximate the ground area K covered by the building.
To approximate the ground area covered by the triangular building, we can use Heron's formula. The area ≈ 5884.88 square feet.
Explanation:To approximate the ground area covered by the triangular building, we can use Heron's formula. Heron's formula states that the area of a triangle can be calculated using the lengths of its three sides. The formula is:
Area = sqrt(s(s-a)(s-b)(s-c)), where s is the semiperimeter of the triangle and a, b, and c are the lengths of the sides.
First, we need to calculate the semiperimeter, which is half the sum of the lengths of the three sides:
s = (83 + 189 + 178) / 2 = 225
Using the given lengths of the sides, we can now calculate the area:
Area = sqrt(225(225-83)(225-189)(225-178))
Area ≈ 5884.88 square feet
What is the greatest common factor of 73, 47, 74, and 79?
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.
Write p(x) = 21 + 24x + 6x2 in vertex form.
Answer:
p(x) = 6(x+2)^2 - 3
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 :)
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:
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?
a membership at a gym cost 15 dollars a person without a membership must pay 1.75 each time they go to the gym how many time will a person have to go to make the membership a better deal
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.
*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))
Laney is 4 ft 8 in tall there are 2.54 centimeters in one inch what is Laney's height in centimeters
A residual plot is shown.
Which statements are true about the residual plot and the equation for the line of best fit for the data? Check all that apply.
1) The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
2) The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.
3) The residual plot has a linear pattern.
4) The points of the residual plot are spread evenly above and below the x-axis.
5) The residual plot has the pattern of a curve.
6) The equation for the line of best fit is not a good approximation for the data because the points have a linear pattern.
Answer:
I didn't have that sixth option, but the correct answers are
1. (A.) The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
and
5. (E.) The residual plot has the pattern of a curve.
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.
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
Anyone know the answer?
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?
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?
The value of -4^2 is _____?
16
-16
8
-8
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)
find the surface area of each figure. Round your answers to the nearest tenth, if necessary
Is 23 a prime number or a composite number? Plzz help
A car rental agency advertised renting a car for $ 26.95 per day and $ 0.28 per mile. if brad rents this car for 4 days, how many whole miles can he drive on a $ 250 budget?
All you would do is multiply 26.95 by 4 to find the cost of the rental for four days which is 107.8. Then you would subtract that number from the total he has to spend which would give you 142.2. The divide 142.2 by 0.28 and that gives you 507.857142. But you would round to the nearest whole number and that would give you 507 miles
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.
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[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.
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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.
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
Confused, thanks.
Can you use a right triangle to represent the distance the distance between any two points on the coordinate plane? Explain.
Final answer:
A right triangle can represent the distance between two points on the coordinate plane using the Pythagorean theorem.
Explanation:
Yes, a right triangle can be used to represent the distance between any two points on the coordinate plane. By connecting the two points with a straight line, the path forms the hypotenuse of a right triangle, and the legs represent the distance along the x and y axes. Using the Pythagorean theorem, a² + b² = c², we can calculate the straight-line distance between the two points.