You are building a doghouse for Fido, your loyal poodle. The blueprint of the doghouse uses a scale of 1 : 14. The floor of the doghouse measures 2" x 2.5" on the blueprint. b) The wood you are using for the floor costs $3.50 per square foot. How much will it cost to buy the material for the floor, assuming you can buy a piece exactly the right size? Show your work.

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

  (b)  √5

Step-by-step explanation:

The square root of an integer is rational if the integer is a perfect square. You probably know the first few perfect square integers are 1, 4, 9, 16, 25, 36, ...

The integer 5 is not on that list, so its square root will be irrational.

  √5 is irrational

Answer:

Hi how are you doing today Jasmine

The principal amount is $693.33.

Simple interest is a quick and simple approach to figure out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount.

The formula is

Simple Interest = P x R x T/100

Given:

Interest = 78

Rate= 7.5%

Time= 1 and half year = 1.5 year

Now, Simple Interest= P x R x T / 100

                             78 = P x 7.5 x 1.5 / 100

                             7800= P x 11.25

                             P = 7800/11.25

                              P = 693.33

Hence, the principal amount is $693.33.

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The simplified expression in mathematical form is -45.36.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The expression given is -

(-15 + (-1.6 + 9.34) / 6) × (3² - 5.7)

Simplifying the terms inside the parentheses first, we get -

(-15 + 7.74 / 6) × (9 - 5.7)

Next, we simplify 7.74 / 6 by dividing the numerator by the denominator -

(-15 + 1.29) × (9 - 5.7)

We add -15 and 1.29 inside the first set of parentheses -

(-13.71) × (9 - 5.7)

We subtract 5.7 from 9 inside the second set of parentheses -

(-13.71) × 3.3

Multiplying these two terms, we get -

-45.363 ≈ -45.36

Therefore, the value is obtained as -45.36.

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Answer:

2a + 2b

Step-by-step explanation:

Since it's a rectangle, there are two sides with the length "a," and two sides with the length "b."

Let's say a = 4, and b = 8

2(4) + 2(8)

8 + 16 = 24

We can prove this is correct, by adding 4 + 4 + 8 + 8 together, since you're looking for the perimeter

I hope this helped :)

0.166 is the standard form of that

Answer: \(\sqrt[5]{27}\), fifthroot(27) [according to your picture, I think there will be no space between fifth and root]  

Step-by-step explanation:

concept to know: any exponent that is performed in fraction, the numerator will be the real exponent for the base, while the denominator will be the root

-------------------------------------

\(27^{\frac{1}{5}\)

This has 1 as the numerator and 5 as the denominator.

1 can be ignored because any number to the 1 power is equal to itself.

5 is the root for 27

\(\sqrt[5]{27}\)

Hope this helps!! :)

Please let me know if you have any question

Answer:

-12

Step-by-step explanation:

y = mx + b

the one being multiplied  to x is the slope

Answer:

slope: -12

y-intercept: 7

Step-by-step explanation:

The slope-intercept form of the equation of a line is

y = mx + b

where m = slope, and b = y-intercept.

Your equation is

y = -12x + 7

Your equation is already in the slope-intercept form.

m = -12

b = 7

slope: -12

y-intercept: 7

That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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If an item usually costs d dollars a 12% discount can be represented as 0.88d.

This refers to a deduction in the regular price of a product or service that is usually represented using a percentage.

Considering 12% is being deducted from 100% (100-12 = 88). The final price can be represented as 0.88d or 0.88 multiplied by the regular price (d).

For example, if the regular price is $100, 0.88 x 100 = $88.

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Explanation:

Let's add angle c to the diagram such that it's adjacent to angle b, and inside the quadrilateral. Notice how angle c is opposite the 100 degree angle of this inscribed quadrilateral.

For any inscribed quadrilateral, the opposite angles are supplementary

c+100 = 180

c = 180-100

c = 80

Angles b and c are supplementary as well, because they form a straight line.

b+c = 180

b+80 = 180

b = 180-80

b = 100

In short, angle b is the same measure as that 100 degree angle in the diagram.

Step-by-step explanation:

Hi there!

From the above figure;

Let "x" be an unknown angle.

Then;

100° + X = 180°. { The opposite angles of cyclic quadrilateral is supplementary}

X = 180°-100°

Therefore, X= 80°.

Now;

X+b = 180°. {linear pair}

80° + b = 180°

Therefore, b = 100°.

[Next method:

b = 100° {When any side of cyclicquadrilateral is extended the external angle is equal to opposite interior angle.]

Hope it helps.

After answering the given query, we can state that  the parabola equation expands upwards, and the apex is (4, 4.5).

Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.

P equals 1/2, meaning that the distance between the apex and the focus is equal to the distance between the directrix and the focus.

As a result, the parabola's equation is:

\((x - 4)^2 = 4(1/2)(y - 1.5)\\(x - 4)^2 = 2(y - 1.5)\)

The left half of the equation is expanded as follows: x2 - 8x + 16 = 2(y - \(1.5) x2 - 8x + 13 = 2y\\y = (1/2)x^2 - 4x + 13/2\)

The problem can also be expressed in vertex form by filling in the cube as follows:

\((x - 4)^2 = 2(y - 1.5)\\(x - 4)^2 = 2(y - 1.5) + 6\\(x - 4)^2 = 2(y - 4.5)\\(x - 4)^2/8 = (y - 4.5)\\\)

Therefore, the parabola expands upwards, and the apex is (4, 4.5).

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Answer:

\(\frac{1}{500}\)

Step-by-step explanation:

0.002 is in the thousandths place. Therefore, \(\frac{2}{1000}\) is simplified to \(\frac{1}{500}\).

Answer:

24

Step-by-step explanation:

divide 120 by the days.

hope this helps!

Answer:

It is 21

Step-by-step explanation:

The complex equation 8 + 3; in trigonometric form is z = 8.544[cos(20.6) + isin(20.6)}.

What is trigonometric form ?

Here, we'll utilize that fundamental transformation to recast z = a + bi in a different (sometimes more practical) form that is based on the polar transformation. The trigonometric form of a complex number is the name of this new representation.

Given

8 + 3i

Required

Rewrite in trigonometric form.

The trigonometric form of a complex equation is

z = r[cosθ + isinθ]

Let a = 3 and b = 8

Where

r is calculated by

r² = b² + a²

And

θ is calculated by

θ = arctan(a/b)

Substituting 3 for a and 8 for b

r² = a² + b² becomes

r² = 3² + 8²

r² = 9 + 64

r² = 73

√r² = √73

r = √73

r = 8.544

Calculating θ

θ = arctan(a/b) becomes

θ = arctan(3/8)

θ = arctan(0.375)

θ = 20.556°

θ = 20.6 --- Approximated

Hence, z = r[cosθ + isinθ] becomes

z = 8.544[cos(20.6) + isin(20.6)}

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Complete Question

Which of the following statements are true?

I. The sampling distribution of \(\= x\) has standard deviation \(\frac{\sigma}{\sqrt{n} }\) even if the population is not normally distributed.

II. The sampling distribution of \(\= x\)   is normal if the population has a normal distribution.

III. When  n is large, the sampling distribution of \(\= x\)  is approximately normal even if the the population is not normally distributed.

A  I and II

B  I and III

C II and III

D I, II, and III

None of the above gives the complete set of true responses.

Answer:

The correct option is  D

Step-by-step explanation:

Generally the mathematically equation for evaluating the standard deviation of the mean(\(\= x\)) of samples is  \(\frac{\sigma}{\sqrt{n} }\)  hence the the first statement is correct

   Generally the second statement is true, that is the sampling distribution of the mean (\(\= x\)) is  normal given that the population distribution is  normal

 Now  according to central limiting theorem given that the sample size is  large the distribution of the mean (\(\= x\)) is approximately  normal notwithstanding the distribution of the population

Answer: 60 miles

Step-by-step explanation:

1 in. times 3 = 3 in

20 mi times 3 = 60 mi.

Answer:

The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.

Step-by-step explanation:

Please mark as brainliest!

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

Answer:

3619.11 or 3619.1

Step-by-step explanation:

i don't really know how to explain but that's what i got

Answer:

3,619.1 cm^3

Step-by-step explanation:

\(V=\pi r^{2}\frac{h}{3} \\V=\pi 12^{2} \frac{24}{3} \\V=3,619.115\)

Answer: A, -6

Step-by-step explanation: If it is the problem I think it is there should be a chart with the first column labeled x that includes -2, -1, 0, 1, and 2. The second column should be labeled y and includes 8, 2, -4, -10, and -16. You use the slope formula the m=rise/run which is also y2-y1/x2-x1=slope. So now you substitute y2 as 2, y1 as 8, x2 as -1, and x1 as -2. Now you do 2-8/-1- -2, which becomes 2+-8/-1+2. When you add 2 and -8 you get -6 and when you add -1 and 2 you get 1. Now we put them together to get -6/1, which equals -6, as our slope.

Answer:

64 feet

Step-by-step explanation: 8 x 8 = 64, we know to duplicate 8 since it is a Square Garden.

Hope this Helps!

Answer:

21

Step-by-step explanation:

If A 45 translates to be 35, then x can be given by (35×27)÷45 =21

Answer: A: 31

Step-by-step explanation:

2m+9p-11
(plug in m=3, p=4)
2(3)+ 9(4)-11
6+36-11

42-11

31

Answer:

Step-by-step explanation:

i mean theres no graph but go 4 right and 5 up and put a dot, and a little up on the y -intercept

Answer:

y-intercept=2

Step-by-step explanation:

2y=-3x+4

divide both sides by 2

y=-1.5x+2

y=mx+c

'c' is the y-intercept so '2' is the answer.

Answer:

= -3/2

Step-by-step explanation:

The equation of the line = 2y = -3x + 4

2y = -3x + 4

2y = -3x + 4

2 2 2

y intercept of the line = -3/2.

The most appropriate name for the function that takes the length of a race and returns the time needed to complete it would be "time(length)".

When choosing a name for a function, it is important to consider clarity and readability. The name should accurately describe the purpose of the function and provide a clear indication of what it does.

In this case, the function is expected to take the length of a race as input and return the time needed to complete it as output. Among the given options, "time(length)" is the most suitable choice.

a. length(time): This name suggests that the function takes time as input and returns the length. However, in this scenario, we are interested in finding the time needed to complete the race based on its length, so this option is not the best fit.

b. Time(race): This name implies that the function takes a race as input and returns the time. While it conveys the idea of finding the time, it doesn't explicitly mention that the input is the length of the race, making it less clear.

c. time(length): This option accurately describes the purpose of the function, indicating that it takes the length of the race as input and returns the corresponding time. It is concise, clear, and aligns with the conventional naming conventions for functions.

d. cost(time): This name suggests that the function calculates the cost based on time, which is not relevant to the scenario of finding the time needed to complete a race.

Therefore, "time(length)" is the most suitable and appropriate name for the function.

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The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm

The sector area

The area of the sector is calculated as

Area = x/360 * πr²

Where

r² = 8² + 6²

So, we have

r² = 100

This means that

Area = 82/360 * π * 100

Evaluate

Area = 71.55

The triangle area

This is calculated as

Area = 0.5bh

So, we have

Area = 0.5 * 8 * 6

Evaluate

Area = 24

So, the area of the figure is

Figure = 24 + 71.55

Figure = 95.55

Hence, the area is 95.55

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Answer:

their are different sizes of soup bowls