Write a function rule for "The output is half of the input x."

Step-by-step explanation:

∫₀² x f(x²) dx

If u = x², then du = 2x dx, and ½ du = x dx.

When x = 0, u = 0.  When x = 2, u = 4.

∫₀⁴ ½ f(u) du

½ (16)

8

Answer:

Explanation:

In a unit circle, the radius = 1 unit

The terminal side of angle θ intersects the unit circle in the first quadrant at x= 17/23.

From the equation of a unit circle, we have:

Substitute the given value of x:

Since angle θ is in the first quadrant, we take the positive value of y:

Therefore:

Similarly:

Measurement = 10 + 10 + 9

= 29cm

Answer:

y=5/4=0.8

Step-by-step explanation:

(4×2y−8)−13y=−12

Multiply 4 and 2 to get 8.

8y−8−13y=−12

Combine 8y and −13y to get −5y.

−5y−8=−12

Add 8 to both sides.

−5y=−12+8

Add −12 and 8 to get −4.

−5y=−4

Divide both sides by −5.

y=−5−4

Fraction −5/−4 can be simplified to 5/4 by removing the negative sign from both the numerator and the denominator.

y=5/4

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Answer:

X=6

Step-by-step explanation:

5x+(x+54)=90

6x+54=90

6x=36

X=6

Answer:

3m=24

m=8

12m=96

24m=192

48m=384

96m=768

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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Answer:

80 and 96

Step-by-step explanation:

80 and 96

Answer:

80 and 96 your counting by 7 and 8 and going up 2 if that makes sense

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

Answer:

4, 2, 9, 3, 6

Step-by-step explanation:

756/4= 189

756/2= 378

756/9= 84

756/25= 30.24

756/5= 151.2

756/8= 94.5

756/10= 75.6

756/3= 252

756/6= 126

Answer:

jojo siwa

Step-by-step explanation:

Testing the hypothesis using the z-distribution, it is found that since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.

At the null hypothesis, we test if there has been no improvement, that is, the time is still of 3 hours. Hence:

\(H_0: \mu = 3\)

At the alternative hypothesis, we test if there has been improvement, that is, the time is of less than 3 hours. Thus:

\(H_1: \mu < 3\)

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

In this problem, the values of the parameters are: \(\mu = 3, \sigma = 0.2, \overline{x} = 2.9, n = 15\).

Then, the value of the test statistic is:

\(z = \frac{2.9 - 3}{\frac{0.2}{\sqrt{15}}}\)

\(z = -1.94\)

The p-value of the test is the probability of finding a sample mean of 2.9 hours or less, which is the p-value of z = -1.94.

Looking at the z-table, z = -1.94 has a p-value of 0.0262.

Since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.

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Answer:

-3

Step-by-step explanation:

-15+x=-18

x=-18+15

x=-3

rate 5 star

Oof the answer is you (and by you I mean B)

The strength and direction of the correlation between the two variables are weak and negative, hence, option (3) is correct.

A statistic called correlation gauges how much two variables change in connection to one another. Correlation quantifies correlation but cannot determine whether x causes y or vice versa, or whether a third component is responsible for the association.

Given that, the correlation between the two variables is r = -0.23.

Since the correlation between the variables is weak and negative.

Therefore, the strength and direction of the correlation between the two variables are weak and negative, hence, option (3) is correct.

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Answer:

its                                                                                                                                                

Step-by-step explanation:

Answer:

b. because m = -5

Step-by-step explanation:

y = -5x +9

m (gradient) is the coefficient before the 'x' term

Answer:

7 plants

Step-by-step explanation:

21 tomato plants in all.

They all have the same number of plants per row.

There are 7 plants in each row.

The critical value strategy entails deciding whether or not the observed test statistic is more extreme than would be anticipated if the null hypothesis were true in order to determine whether something is "likely" or "unlikely."

How do you determine the rejection zone and the crucial value?

The rejection zone is the area in which we have sufficient data to reject the null hypothesis if our test statistic falls within it. The rejection area, for the right-tailed test, for instance, is any value bigger than the critical value, or c 1 .

To execute any hypothesis test, the critical value technique entails four specific phases, which are as follows:

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Answer:

\( c = {10x}^{6} \)

Step-by-step explanation:

\( {40x}^{9} \div {4x}^{3} = {4x}^{3} c \div {4x}^{3} \)

\(therefore ...c = {10x}^{6} \)

Answer:

\( \pink{\maltese{ \text{BODMAS \:Full \: Form \: }}}\)

The expression (48-24)÷3×4 as per BODMAS rule.

(48-24)÷3×4

=24÷3×4

=8×4

=32

Now,

The given question is,

Simplify:

\( \displaystyle{ \frac{7}{8} \div 5 \frac{1}{3} \times \frac{24}{7} }\)

\( \displaystyle{ = \frac{7}{8} \div \frac{16}{3} \times \frac{24}{7} }\)

\( \displaystyle{ = \frac{ \cancel{7} \times 3 \times \cancel{24} \: {}^{3} }{ \cancel{8 } \times 16 \times \cancel{7}} }\)

\( \displaystyle{ = \frac{3 \times 3}{16} }\)

\( \displaystyle{} = \frac{9}{16} \)

Thus,the final answer is 9/16.

Solution -:

\( \frac{7}{8} \div 5 \frac{1}{3} \times \frac{24}{7} \)

Let's begin-

solve,,,

Now,,According to BODMAS rule fist we divide ,

\( \frac{7}{8} \times \frac{3}{16} \times \frac{24}{7} \\\)

Now , we multiple

\( \frac{3 \times 3}{16} \\ \\ = \frac{9}{16} \)

and this is our final answers

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Division → Multiplication → Addition → Subtraction

Answer

-y+2, or 2-y

Step-by-step explanation:

Answer:

-y + 12

Step-by-step explanation:

Step 1: Write expression

(y + 7) - (2y - 5)

Step 2: Distribute negative

y + 7 - 2y + 5

Step 3: Combine like terms

-y + 12

Two reasons for the use of measurement tools are:

1. Using reliable and valid measurement tools ensures that the data collected is accurate and trustworthy, providing the researcher with more confidence in their conclusions.

2. Using reliable and valid tools reduces the amount of time needed to develop a new measurement tool, as the researcher can simply adapt an existing tool to meet their research needs. This allows the researcher to focus more of their effort on the other aspects of the project.

1. Using reliable and valid tools can help the researcher reduce the likelihood of bias in their results, as the tools have already been shown to be free of any potential bias. This helps to ensure that the results of the study are as objective as possible.

2. Using reliable and valid tools can also help to minimize the potential for errors and misinterpretation of data, as the tools are already proven to be valid and reliable. This helps to ensure that the results are as accurate as possible.

3. Finally, using reliable and valid tools can help to reduce the amount of effort and resources needed for data collection, as the researcher does not have to spend time and energy developing their own measurement tools. This can help to save time and money in the long run.

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Answer:

\(the \: quadratic \: equation \: is \to \: \\ \boxed{{x}^{2} + \: x \: -20 = 0}.\)

Step-by-step explanation:

\(the \: general \: sandard \: form \: is \: given \: by : \\ ax {}^{2} + bx + c = 0 \to \\ since \: the \: roots \: are : \\ 4 \: and \: - 5 \\ we \: apply \: the \: rule \to \\ {x}^{2} - ( \alpha + \beta )x \: + \alpha \beta = 0 \\ therefore \: \to \\ {x}^{2} - ( 4+ ( - 5) )x \: + 4( - 5) = 0 \\ {x}^{2} + \: x \: -20 = 0.\)

♨Rage♨

Using the relation between velocity, distance and time, it is found that these trains are 1049 km apart at 1:30 pm.

Velocity is given by the distance divided by the time, hence the following equation is built to model the relationship between these variables:

v = d/t.

In which:

For Train X, the time and the velocity are given as follows:

Hence the distance of train X from the station is:

dX = 144 x 3.75 = 540 km.

For Train Y, the time and the velocity are given as follows:

Hence the distance of train Y from the station is:

dY = 165 x 3.0833 = 509 km.

They travel in opposite directions, hence we add the distances of each from the station to find their distances as follows:

540 km + 509 km = 1049 km.

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Answer:

For each corresponding pair of sides, the ratios for the two triangles are equal.

Step-by-step explanation:

plato

Answer:

Sample answer for Edmentum and Plato

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