What is the length of fence that will be installed to the nearest tenth of a foot ?

Answer:

85 cm^2

Step-by-step explanation:

In simplest radicle form, the length of the third side = 9 units.

Given,

Side A = 7 units.

Side B = 4√2 units.

To find Side C, we use the Pythagorean formula,

a² = b² + c²

7² = \(4\sqrt{2}^{2}\) + c²  

c² = 49 + 32

c² = 81

√c² = √81

c = -9,9.

c ≠ -9 as negative values are not considered for dimensions.

Hence, the length of the third side is 9 units.

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Your question is incomplete. The complete question is:

With reference to the figure below,  find the length of the third side. If necessary, write in the simplest radical form.

Answer:

63

Step-by-step explanation:

21 x 3 = 63

i think this is right l:

The solution for the given algebraic equation is 63

\(\frac{1}{3} x = 21\)

x = 3*21 =63

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Answer:

\(y=2x-2\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where the two points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (0,-2) and (2,2)

\(=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2\)

Therefore, the slope of the line is 2. Plug this into \(y=mx+b\) as m:

\(y=2x+b\)

2) Determine the y-intercept (b)

\(y=2x+b\)

Plug in one of the given points and solve for b

\(2=2(2)+b\\2=4+b\)

Subtract 4 from both sides to isolate b

\(2-4=4+b-4\\-2=b\)

Therefore, the y-intercept of the line is -2. Plug this back into \(y=2x+b\)

\(y=2x-2\)

I hope this helps!

There is a 21.19% chance that the daily production falls within 32.3 and 36.9 liters.

To find the probability that the daily production of a herd of cows is between 32.3 and 36.9 liters, we need to use the normal distribution properties.

Given that the mean daily production of the herd of cows is 30 liters and the standard deviation is 8.2 liters, we can standardize the distribution and use the standard normal distribution table or calculator. We calculate the z-scores for the values 32.3 and 36.9, which tells us how many standard deviations away from the mean each value is.

Using a standard normal cumulative distribution function, we can find that the probability of the daily production falling between 32.3 and 36.9 liters is approximately 0.2119. This means that there is a 21.19% chance that the daily production falls within this range.

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The probability that daily production is between 32.3 and 36.9 liters is 0.18949 or 18.9%.

To determine the probability that the herd's daily production will be between 32.3 and 36.9 liters, we must compute the z-scores for each number and use a standard normal distribution table to calculate the area under the curve between those z-scores.

To find out the z - scores we need use z-score formula:

Z = X−μ / σ

where μ  is the mean, σ is the standard deviation and X is the observed value. In the problem μ  is 30 liters, X₁ = 32.3 liters & X₂ = 36.9 liters and σ = 8.2 liters.

Substituting the values in the equation to find the z-score for 32.3 liters is:

z₁ = (32.3 - 30) / 8.2 = 0.2804

z₁ = 0.28049

Substituting the values in the equation to find the z-score for 36.9 liters is:

z₂ =( 36.9 - 30) / 8.2 =  0.8414

z₂ = 0.8414

We can determine the area under the curve between these two z-scores using a conventional normal distribution table. The area between z = 0.28049 and z = 0.8414 and the probability is approximately 0.1894.

As a result, the probability that the herd's daily output is between 32.3 and 36.9 liters is about 0.1894.

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Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.

In a two-way analysis of variance (ANOVA) known as a 2x2

factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.

The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.

There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.

This F ratio assesses the joint influence of both independent variables.

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Answer:

Number of wooden carving = a

Total amount Sam spend = 1,200 + 4a

Total revenue of Sam = 15a

Number of wooden carving make to earn profit $4,300 = 500 carvings

Step-by-step explanation:

Given:

Sales price of each wooden carving = $15

Fixed cost = $1,200

Variable cost = $4 for each

Find:

Number of wooden carving make to earn profit $4,300

Computation:

Part 1

Assume

Number of wooden carving = a

Part 2

Total amount Sam spend = 1,200 + 4a

Part 3

Total revenue of Sam = 15a

Part 4

Total profit of Sam = Total revenue of Sam - Total cost of Sam

4,300 = 15a - [1,200 + 4a]

4,300 = 15a - 1,200 - 4a

11a = 5,500

a = 5,500 / 11

Number of wooden carving make to earn profit $4,300 = 500 carvings

Option c. 2

Among the given targets, two targets are correctly described:

Regarding chemical pesticide use, the target is to reduce it by 50% by 2050. This aligns with the vision presented in the Green Food System Strategy.

In terms of chemical fertilizers, the target is to reduce the use of chemical fertilizers produced in Japan from fossil fuels by 30% by 2050. This target is also consistent with the strategy's vision.

The remaining two targets are not correctly described:

The target of expanding the organic market and increasing the ratio of organic farming to arable land to 30% (1 million hectares) by 2050 is not mentioned in the given options.

The target of reducing household food loss by half from the FY2000 level by 2030 is also not mentioned in the given options.

Therefore, the correct answer is option c. 2, as two of the targets are accurately described in the provided options.

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Answer:

y=5/6x+101/6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-16)/(-13-(-1))

m=-10/(-13+1)

m=-10/-12

simplify

m=5/6

y-y1=m(x-x1)

y-16=5/6(x-(-1))

y-16=5/6(x+1)

y-16=5/6x+5/6

y=5/6x+5/6+16

y=5/6x+5/6+96/6

y=5/6x+101/6

Answer:

y=(5/6)x-6

Step-by-step explanation:

The slope intercept form of a line is y=mx+c. The equation of the line will be y=(5/6)x-6

You should arrive at the answer of 0.36 goals per game by dividing over the two ratios.

Explanation:

32/89 = 0.36.

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You should arrive at the answer of 0.36 goals per game by dividing over the two ratios.

You can address the issue by formulating a proportion with the number of games played as the denominator and the number of goals scored by the soccer player as the numerator (32:89).

A vertical equal sign should be added to the side of the fraction, another fraction should be suggested as a potential solution to the equation, and the two denominators should be described as corresponding within the measurement (be sure to label the variables). The unit rate of goals scored in a single game is then calculated using one draw as the number of games.  

32/89 = 0.36.

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Answer:

A= 335.5 units squared

Step-by-step explanation:

Answer:

30 apples

Step-by-step explanation:

600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.

The mean number of apples is the result of dividing the product of frequency and number of apples and f in the table given. Hence, the mean number of apples is 30

The sum of frequency = (2 + 4 + 8 + 4 + 2) = 20

The sum of fx = (56 + 116 + 240 + 124 + 64) = 600

The mean number of apples can be calculated using the values obtained thus :

Mean = fx ÷ f

Mean = 600 ÷ 20

Mean = 30

Therefore, the mean number of apples in a box is 30

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Answer:

The slope-intercept form of the line passing through points

1) (4,0) and (4,5) is: 0=x-4.

2) (0,-5) and (1,-2) is: y=3x-5

3) (0,1) and (2,-2) is: y=-3/2x+1

4) (-1,0) and (0,-5) is y=-5x-5

Step-by-step explanation:

The standard equation for a slope-intercept form is y=mx+c where m is the slope of the line and c is the y-intercept.

1) The given points are (4,0) and (4,5). The slope is not defined. the y-intercept is 4. The equation of the line is x=4

2) The given points are (0,-5) and (1,-2). The slope is \(\frac{-2+5}{1-0}=3\). the y-intercept is -5. The equation of the line is y=3x-5

3) The given points are (0,1) and (2,-2). The slope is \(\frac{-2-1}{2-0}=-\frac{3}{2}\). y-intercept is 1. The equation of the line is y=-3/2x+1

4) The given points are (-1,0) and (0,-5). The slope is \(\frac{-5-0}{0+1}=-5\). y-intercept is -5. The equation of the line is y=-5x-5

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Answer:

A)94.5 cm

Step-by-step explanation:

height = 9cm

Base 1 = 5cm

Area of a Trapezoid = 1/2 × (b1 + b2)h

h = 9cm

b1 = 5cm

b2 = (9 cm + 5cm + 2cm) = 16cm.

Area of Trapezoid

= 1/2 (5 + 16) × 9

= 1/2 × 21 × 9

= 94.5 cm

Option A is the correct answer

The proportion of the normal distribution that is found in z score of 1.20 and 1.75 is 7.5% .

In order to find the proportion of the normal distribution between two z-scores, we need to use a standard normal distribution table ,

By using the standard normal distribution table, we can find the proportion between z scores z = 1.20 and z = 1.75 by subtracting the cumulative probability of z = 1.20 from the cumulative probability of z = 1.75:

⇒ P(1.20 ≤ z ≤ 1.75) = P(z ≤ 1.75) - P(z ≤ 1.20)

From a standard normal distribution table,

We get that the cumulative probability for z = 1.20 is 0.88493, and the cumulative probability for z = 1.75 is 0.95994.

Substituting these values,

We get ,

⇒ P(1.20 ≤ z ≤ 1.75) = 0.95994 - 0.88493

⇒ P(1.20 ≤ z ≤ 1.75) = 0.07501

Therefore, the proportion of the normal distribution is approximately 0.075 or 7.5%.

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Triggering the secretion of vasopressin is not a mechanism by which angiotensin II elevates ECF volume.

Angiotensin II is a hormone that plays a crucial role in regulating blood pressure and fluid balance in the body. It is produced by the renin-angiotensin-aldosterone system (RAAS) in response to low blood pressure or decreased blood flow to the kidneys.

When released, angiotensin II acts on various targets to increase blood pressure and restore fluid balance. One of its effects is to stimulate the secretion of aldosterone from the adrenal glands, which promotes salt and water retention in the kidneys.

This, in turn, increases extracellular fluid (ECF) volume. Additionally, angiotensin II can also stimulate thirst, which encourages the intake of fluids, further increasing ECF volume. However, angiotensin II does not directly cause the release of vasopressin, which also promotes water retention.

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Answer:

459

Step-by-step explanation:

15×15×2+10-1

15×15= 225 × 2 +10 - 1

225 × 2= 450 + 10 -1

450 + 10 = 460 - 1

460 - 1 = 459

A little true story:

A five your old boy (little boy blue( was out with is siblings when he fell over a bridge and passed away. Now at the very same river he passed all you have to do is go up there turn off your lights and put baby powder all over you car and sit and wait. Soon enough you will see a little blue light and than little hand prints on your car.

Answer:

The mean weight of an adult is 66 kilograms with a variance of 144. If 123 adults are randomly selected, the sample mean would follow a normal distribution with a mean of 66 kilograms and a standard deviation of sqrt(144/123) = 3/sqrt(123) kilograms.

We can standardize the sample mean to find the probability that it would be greater than 66.7 kilograms. The standardized value for 66.7 is (66.7 - 66) / (3/sqrt(123)) = 2.3094.

Using a standard normal distribution table, we find that the probability of a standard normal variable being greater than 2.3094 is approximately 0.0104.

Therefore, the probability that the sample mean would be greater than 66.7 kilograms is approximately 0.0104, rounded to four decimal places.

Step-by-step explanation:

Answer: May not be the exact answer you're looking for, but the explanation below should make sense.

Step-by-step explanation:

To shift the graph of y=2x+5 up, there is no need for a seperate equation. When you notice is that 5 is the y-intercept. Since the slope of the equation is still the same, all you do is increase the y-intercept to shift it up and decrease to shift it down. This may be a little hard, but if you graph it, and mess around with the y-intercept, you will see that the graph goes up as the y-intercept increases. As you decrease the y-intercept, the graph will travel down.

I hope this answers your question. Let me know if you have any questions.

Answer:

The Dietary Guidelines for Americans, on the other hand, suggest restricting sodium consumption to less than 2,300 mg per day—roughly 1 teaspoon of salt!

g(x) as given has no inverse because there are instances of two x values giving the same value of g(x). For instance,

x = -1   ⇒   g(-1) = 4 (-1 + 3)² - 8 = 8

x = -5   ⇒   g(-5) = 4 (-5 + 3)² - 8 = 8

Only a one-to-one function can have an inverse. g(x) is not one-to-one.

However, if we restrict the domain of g(x), we can find an inverse over that domain. Let \(g^{-1}(x)\) be the inverse of g(x). Then by definition of inverse function,

\(g\left(g^{-1}(x)\right) = 4 \left(g^{-1}(x) + 3\right)^2 - 8 = x\)

Solve for the inverse:

\(4 \left(g^{-1}(x) + 3\right)^2 - 8 = x\)

\(4 \left(g^{-1}(x) + 3\right)^2 = x + 8\)

\(\left(g^{-1}(x) + 3\right)^2 = \dfrac{x + 8}4\)

\(\sqrt{\left(g^{-1}(x) + 3\right)^2} = \sqrt{\dfrac{x + 8}4}\)

\(\left| g^{-1}(x) + 3 \right| = \dfrac{\sqrt{x+8}}2\)

Recall the definition of absolute value:

\(|x| = \begin{cases}x & \text{if }x\ge0\\-x&\text{if }x<0\end{cases}\)

This means there are two possible solutions for the inverse of g(x) :

• if \(g^{-1}(x) + 3 \ge 0\), then

\(g^{-1}(x) + 3 = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2\)

• otherwise, if \(g^{-1}(x)+3<0\), then

\(-\left(g^{-1}(x) + 3\right) = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3-\dfrac{\sqrt{x+8}}2\)

Which we choose as the inverse depends on how we restrict the domain of g(x). For example:

Remember that the inverse must satisfy

\(g\left(g^{-1}(x)\right) = x\)

In the first case above, \(g^{-1}(x) + 3 \ge 0\), or \(g^{-1}(x) \ge -3\). This suggests that we could restrict the domain of g(x) to be \(x \ge -3\).

Then as long as \(x \ge -3\), the inverse is

\(g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2\)

Answer:

3.13

Step-by-step explanation:

Because the 4 is in the hundreds place. The rule for the number would be less than five so round down. 4-1=3.

The value of π to the nearest hundredth is 3.14.

Place value, which is related to a digit's location in a number, is the amount that each digit is worth.

Given:

An equation,

π = 3.14

To round off the number to the nearest hundredth:

The digit at the hundredth place in decimal is 4.

And the left to the digit is 3.

The number 4 is less than the number 5.

So, there will be no changes in the approximation of the decimal number.

So, π = 3.14.

Therefore, the value is π = 3.14.

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Answer:

Andre's

Step-by-step explanation

I think its Andre. I apologize if it is not.

Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

Answer:

3 is known as the power of 2.

Answer:

The three is the exponent, it is also called power so 2 to the power of 3

Step-by-step explanation:

The change in equilibrium real GDP is B220.

To calculate the change in equilibrium real GDP resulting from an increase in autonomous investment, we need to use the expenditure-output model. In this model, equilibrium real GDP (Y) is determined by the aggregate expenditure (AE), which is the sum of consumption (C), investment (I), government spending (G), and net exports (NX). The equation is:

Y = AE = C + I + G + NX

Given the information provided, let's calculate the initial equilibrium real GDP (Y) using the given values:

C = 80 + (9/10)Y

DI = 1800

G = 1600

TR = 10

T = (1/3)Y

Substituting the values into the equation:

Y = (80 + (9/10)Y) + 1800 + 1600 + 10 - (1/3)Y

Simplifying the equation:

Y = 3490 + (5/6)Y

Multiplying through by 6 to remove the fraction:

6Y = 6(3490) + 5Y

6Y = 20940 + 5Y

Y = 20940

The initial equilibrium real GDP is 20940.

Now, let's calculate the equilibrium real GDP after the B220 increase in autonomous investment (ΔI):

Y' = Y + ΔI

Substituting the values:

Y' = 20940 + B220

Calculating the change in equilibrium real GDP:

Change in Y = Y' - Y

Change in Y = (20940 + B220) - 20940

Change in Y = B220

The change in equilibrium real GDP is B220.

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Answer:

b = 22

Step-by-step explanation:

74 + 74

= 148

180 - 148

= 22

i hope this work for you