To find h(3) we need to substitute x = 3 into h(x) as follows:
\(\begin{gathered} h(x)=x^3-2x \\ h(3)=3^3-2(3) \\ h(3)=27-6 \\ h(3)=21 \end{gathered}\)
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 4 kg weighs 12 n. Find the weight of an object whose mass is 5 kg.
Answer:
The weight of an object when the mass is 10 kg
will be 30 N.
Let the weight of an object whose mass is 10 kg
be represented by x.
Therefore, based on the information given, the equation to solve the question will be:
8/10 = 24/x
Cross multiply
8x =24 x 10
8x=240
x = 240/8
x = 30
Therefore, the weight of an object when the mass
is 10 kg will be 30 N.
Step-by-step explanation:
if it helped you please mark me a brainliest ♡♡
Erika has three 25-yard-long pieces of ribbon. She needs to cut pieces that are 22 inches long. What is the greatest number of 22-inch pieces that she can cut from the three ribbons?
Answer:
40 pieces
Step-by-step explanation:
25x3
75x12
900/12=40.9
Does anybody know the the endpoints of these segments
Answer:
D, (13, 4.5)
Step-by-step explanation:
(question asked for midpoint so my bad if this isnt what you wanted)
to calculate the median of a vector, you would have to do a simple calculation to get the answer
for the x coordinate, (9 + 17) / 2 would be 13
for the y coordinate, 5 + 4 / 2 would be 4.5
combining those would give you the answer (13, 4.5)
The polygon below is a regular pentagon.
Calculate the size of the angle
X
Y
Z
x = 108
y = 36
z = 72
=============================================================
Explanation:
Check out the diagram below. I have added letters of x, y and z in places to help find the values of y and z. Note the triangle on top is isosceles (since a regular polygon has all sides equal; therefore the triangle on top has the top diagonal sides equal).
Before we find either y or z, let's find x.
For any regular polygon, the interior angles are all the same measure. They sum to 180(n-2). In this case, n = 5, so the angles sum to 180(5-2) = 540. Each individual interior angle is 540/n = 540/5 = 108 degrees
x = 108
Another way to find this interior angle is to first find the exterior angle. For any convex polygon (regular or not), the exterior angles always add to 360. When we talk about regular polygons, each individual exterior angle is 360/n. So in this case, we have 360/5 = 72 as one exterior angle. The adjacent interior angle is therefore x = 180-72 = 108. So there are two ways to find the measure of an interior angle.
--------
Referring to the diagram, specifically the isosceles triangle on top, we can see that it has angles of x, y and y. They add to x+y+y = x+2y. Set this equal to 180, plug in x = 108 and solve for y
x+2y = 180
108+2y = 180
2y = 180-108
2y = 72
y = 72/2
y = 36
--------
The bottom most triangle is a congruent copy of the triangle on top. We have another isosceles triangle with the same side lengths as before. This triangle also has x, y and y as mentioned above.
Notice the adjacent angles of y and z in the bottom left corner. They must add to 108 as this was the measure of the interior angle of a regular pentagon. So,
y+z = x
36+z = 108
z = 108-36
z = 72
A fence post is 12 feet tall. A chain is attached to the top of the fence post and fastened to the ground 9 feet from the base of the fence post. What is the length of the chain?
Answer:
15 feet
Step-by-step explanation:
Use the Pythagorean theorem which is a^2 + b^2 = c^2
a and b represents the legs of the triangle
c represents the hypotenuse (which is the chain)
Answer: 15ft chain length
Step-by-step explanation: A right triangle is formed from the picture. Using pythagorean theoreom
12^2+9^2=c^2
225=c^2
15=c
Martin is interested in the new hypermiling movement which focuses on getting the best miles per gallon (MPG) when driving. He gathered
some data about the weights, In thousands of pounds, of different cars and thelr average MPG. The graph below shows the results of Martin's research.
Answer:
Step-by-step explanation:
D the situation shows correlation with causation
Answer:
the situation shows correlation with caution
what is a figurative language
Answer:
What does figurative language mean? Figurative language is language that's intended to create an image, association, or other effect in the mind of the listener or reader that goes beyond the literal meaning or expected use of the words involved.
Step-by-step explanation: an example is
Although it's often debated how many types of figurative language there are, it's safe to say there are at least five main categories. ... They are: metaphors, similes, personification, hyperbole, and symbolism.
Answer:
Figurative Language: A language that expresses something beyond its literal meaning
Hope this helped!
im failing pls help !!!!!
Answer:
ill suck ya wang
Step-by-step explanation:5$ and ill suck yo wang to do your homework
Answer:
It is C.
Step-by-step explanation:
If you multiply 2 times 2 you get 4. Then multiply 4 by 5 and you get 20.
Therefore, it is C.
GEOLOGY Shan used a surveying tool to map a region of land for his science class. To determine the height of a vertical rock formation, he measured the distance from the base of the formation to his position and the angle between the ground and the line of sight to the top of the formation. The distance was 43 meters, and the angle was 36°. What is the height of the formation to the nearest meter? 36° 43 m
The formation's height is 31 meters to the closest meter.
What exactly is meant by height?In mathematics, height is defined as the vertical distance between an object's top and bottom. It is also referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.
Height, altitude, and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height is a standard bodily measurement that is commonly measured in feet (ft) + inches (in) in the United States and centimeters (cm) abroad. Because they are length measurements, the SI unit would be meters.
We can use the tangent function to calculate the formation's height, h.
tan ( 36°) = h/43
Here, we have to multiply both sides by 43 we get,
43tan (36°)= h
h=31m
Therefore, the height of the formation to the nearest meter is 31m.
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The center of a circle is located at (4, 2). A point on the circle is located at (1, 2). What is the approximate area of the circle?
Answer: 9π≈28.26 squared units
Step-by-step explanation: The distance between the two points, 3 units, is the radius. And then we use that to find the area by squaring and multiplying by pi.
Stone runs 1 mile five times a week. How many miles does 4 he run each week? Write the equation you would use to solve. Then, fill in the grid with your answer. Tip: Fill in your answer as a fraction greater than 1.
The number of miles in 4 weeks is 20 mules
How to determine the number of milesFrom the question, we have the following parameters that can be used in our computation:
Stone runs 1 mile five times a week
This means that the rate is
Rate = 1 mile * 5 per week
So, we have
Rate = 5 miles per week
For 4 weeks, we have
Distance = 5 * 4
Evaluate
Distance = 20 miles
Hence, the distance is 20 miles
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A system of linear equations has how many solutions when the graphs are parallel.
A. No solution
B. One solution
C. Infinite solution
Answer: No solution
Step-by-step explanation:
What is the result of solving this equation for x?
y−b=m(x−a)
GIVING BRAINLIEST!!!!!
Step-by-step explanation:
144 degree is right answer.
Answer:
144°
Step-by-step explanation:
The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.
From B to D, it requires 2 rotations.
Rotation angle needed = 72° × 2Rotation angle needed = 144°There are 5 bacteria in a petri dish at the start of
an experiment. This type of bacteria doubles
every 20 minutes.
Find the number of bacteria after 4 hours.
•
40
•
10,240
•
20,480
40,960
Answer:
20,480
Step-by-step explanation:
A company records the value of a machine used for production at $25,000. As the machine ages, its value depreciates, that is, decreases in value. If the depreciation is estimated to be 20% of the value of the machine at the end of each year, what is the expected value of the machine after 6 years?
The expected value of the machine after 6 years is approximately $4086.
To find the value of the machine after each year, we can use the formula:
Vn = V0 x (1 - r)ⁿ
where Vn is the value of the machine at the end of year n, V0 is the initial value of the machine, r is the depreciation rate (0.20 in this case), and n is the number of years.
For the first year, we have:
V1 = 25000 x (1 - 0.20)¹ = 20000
For the second year, we have:
V2 = 25000 x (1 - 0.20)² = 16000
Continuing this pattern, we find that the value of the machine at the end of the sixth year is:
V6 = 25000 x (1 - 0.20)⁶ = 4085.76
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what is the area of the small square?
Answer:
4
Step-by-step explanation:
Since it is a square all sides are the same. For the first one 5 x 5 eqals 25. For the second one since it has a 2 on one side we multiply 2 x 2 to get 4.
Lisa and Tracy are having lunch. Lisa's lunch costs $6 and Tracy's lunch costs $7. If they leave a 15% tip and pay 5% sales tax, what is the total of the bill?
Answer:
First, we need to calculate the total cost of Lisa's and Tracy's lunches before tax and tip.
Lisa's lunch = $6
Tracy's lunch = $7
Total before tax and tip = $6 + $7 = $13
Now we need to add the 5% sales tax:
$13 x 0.05 = $0.65
Total after tax = $13 + $0.65 = $13.65
Finally, we need to add the 15% tip:
$13.65 x 0.15 = $2.05
Total bill = $13.65 + $2.05 = $15.70
Therefore, the total bill, including tax and tip, is $15.70.
Answer:
Step-by-step explanation:
6 + 7 = 13
Now for the sales tax and tip, we need to add 15 and 5 together which is 20. So now we need to multiply 13 times the decimal equivalent of 20%. So, 0.20 x 13 = 2.6
2.6 + 13 = 15.6
The answer is 15.6
pleasee help asap!! marking brainiest!!
Answer:
(-1, 4) , (0, 6), (1, 9), (2, 13.5)
Step-by-step explanation:
a ______ is a descriptiion of the approach that is used to obtain samples from a population prior to an data collection activity.
A.
population frame
B.
sampling weight
C.
sampling plan
D.
probability interval
The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.
It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.
The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.
The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.
A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.
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Simplify each expression.
4 x 10
Answer:
1 x 40
Step-by-step explanation:
(Scientific Notation in the Real World MC)
The mass of a paper clip is 7.0 x 10−4 mg. If a box of paper clips has 3.18 x 104 paper clips, determine the total mass of the paper clips in the box. Write the final answer in scientific notation with the correct number of significant digits.
2.2 x 101 mg
2 x 101 mg
2.226 x 101 mg
2.23 x 100 mg
The total mass of the paper clips in the box will be C. 2.226 × 10^1
How to illustrate the scientific notation?Scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers in the millions place after the decimal required to be represented in a simpler format.
Since the mass of a paper clip is 7.0 x 10−4 mg and a box of paper clips has 3.18 x 104 paper clips, the total mass of the paper clips in the box will be:
= (7.0 × 20^-4) × 3.18 ÷ 10^4)
= 22.26
= 2.226 × 10^1
The correct option is C.
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I have three squares and I want to divide them by 3/4
How many pieces would I have
Answer:
4
Step-by-step explanation:
i belive this is the answer becuase 3 divided by (3/4)
The temperature went down 3 F. Each hour. What was the total temperature change after 5 hours ?
Drag the expressions to the correct functions. Not all expressions will be used.
Consider the functions fand g.
= 4x² + 1
g(x) =
Perform the function compositions:
x² - 3
The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).
Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3
The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and
(g o f)(x) = 16x⁴ + 8x² - 2.
What is composition function?The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.
Given:
f(x) = 4x² + 1 and g(x) = x² - 3
a) (f o g)(x) = f[g(x)]
f[g(x)] = 4(x² - 3)² + 1
substitute the value of g(x) in the above equation, and we get
= 4(x⁴ - 24x + 9) + 1
simplifying the above equation
= 4x⁴ - 96x + 36 + 1
= 4x⁴ - 96x + 37
(f o g)(x) = 4x⁴ - 96x + 37
b) (g o f)(x) = g[f(x)]
substitute the value of g(x) in the above equation, and we get
g[f(x)] = (4x² + 1)²- 3
= 16x⁴ + 8x² + 1 - 3
simplifying the above equation
= 16x⁴ + 8x² - 2
(g o f)(x) = 16x⁴ + 8x² - 2.
Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and
(g o f)(x) = 16x⁴ + 8x² - 2.
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The slope of the graph is -1. Which statement describes how the slope is related to the burning of a candle?
Answer: candle burns down 1 cm per hour
Step-by-step explanation:
Answer:
d.
Step-by-step explanation:
1. Solve for the unknown in each triangle. Round each answer to the nearest tenth.
The values of the missing sides are;
a. x = 35. 6 degrees
b. x = 15
c. x = 22. 7 ft
d. x = 31. 7 degrees
How to determine the valuesTo determine the values, we have;
a. Using the tangent identity;
tan x = 5/7
Divide the values
tan x = 0. 7143
x = 35. 6 degrees
b. Using the Pythagorean theorem
x² = 9² + 12²
find the square
x² = 225
x = 15
c. Using the sine identity
sin 29= 11/x
cross multiply the values
x = 11/0. 4848
x = 22. 7 ft
d. sin x = 3.1/5.9
sin x = 0. 5254
x = 31. 7 degrees
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what level of confidence would you need to have so that the value of the true population mean of training time was between 49.01 and 53.99 days?
1) Option B, which states that the confidence interval size shrank from 0.99 to 0.90, is the right answer.
2) Option D is the best decision. Confidence interval: 0.88
1) Confidence intervals are ranges of estimates for unknown parameters in frequentist statistics. Confidence intervals are given a confidence level. The most common level is 95%, but other levels, such as 90% or 99%, may be used as well.
Therefore, option B is the correct choice, which states that the confidence interval size decreased from 0.99 to 0.90
2) Probability is another word for confidence in statistics. An estimate that falls between the upper and lower values of a confidence interval, such as one constructed with a 95% level of confidence, is 95 out of 100 times likely to be accurate.
It can be calculated as:
df=n-1=19
t critical value 0.12 (two tail) = 1.62797
M = 51.5
sM = √(6.842 / 20) = 1.53
μ = M ± Z (sM)
μ = 51.5 ± 1.62797 * 1.53
μ = 51.5 ± 2.49
therefore, CI { 49.01 and 53.99 }
The correct choice is option D. 0.88 confidence interval.
Question:
. move the slider all the way to the right to a confidence coefficient of 0.99. now move the slider to a confidence coefficient of 0.90. what happened to the size of the confidence interval during the move from 0.99 to 0.90? from 0.99 to 0.90 the confidence interval size became larger from 0.99 to 0.90 the confidence interval size became smaller from 0.99 to 0.90 the confidence interval size remained constant -select- 2. what level of confidence would you need have so that the value of the true population mean of training time was between 49.01 and 53.99 days? 0.93 0.97 0.85 0.88
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Do these ratios form a proportion 6/3 and 9/12
Answer:
No
Step-by-step explanation:
6/3=18/9
9/12=18/24
Also 6/3=2 and 2 does not equal 9/12
picture!! giving brainliest!!
Answer:
TABLE
x 4 5 6 7 8 9 10 11 12
y 100 125 150 175 200 225 250 275 300
GRAPH
x 0 2 4 6 8 10 12
y 0 60 120 180 240 300 360
Value of y on graph - Value of y on table = 360 - 300 = 60
option C