Find the height of a cuboid whose volume is 540cu.cm and base area is 90sq.cm

you will need to know trig functions;

a)

tan(45) = 7/a

you want to solve for "a", online calculator should give you the option for trig functions.

a = ~4.32

Answer:

he won't, he will need more

Step-by-step explanation:

Answer:

hope you can understand

The dimensions of the framed picture would be "x + 2" centimeters for the width and "x + 8" centimeters for the length, where "x" represents the width of the original rectangular picture.

To determine the dimensions of the framed picture, we can use the information. Let's assume the width of the picture is "x" centimeters.

Since the rectangular picture is 6 centimeters longer than it is wide, the length of the picture would be "x + 6" centimeters.

When a frame 1 centimeter wide is placed around the picture, it adds 1 centimeter to each side of the picture.

Therefore, the width of the framed picture would be "x + 2" centimeters (2 additional centimeters for the frame on both sides) and the length would be "x + 6 + 2" centimeters (2 additional centimeters for the frame on both sides).

In simplified form, the dimensions of the framed picture would be width: "x + 2" centimeters and length: "x + 8" centimeters.

The complete question is "'A rectangular picture is 6 cm longer than it is wide. A frame 1 cm wide is placed around the picture. Write a polynomial that represents the area of the frame?"

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Answer:

h

Step-by-step explanation:

njk

Answer:

5(7v+3)

Step-by-step explanation:

Look for what both terms have in common and factor that

35v  + 15

Rewrite 35 as 5*7 and 15 as 5*3

5*7v + 5*3

Both terms have in common 5 so will factor it out

 5(7v+3)

The rate of increase, we can see that the function is an exponential growth model with a base of 1.04, which means that the population increases by 4% each year.

There seems to be an error in the problem statement. If the function P(x) = 88,200(1.04)^x models the population after the year 2002, then it doesn't make sense to ask for the population in the year 2000, which is two years before 2002.

Assuming that the function is correctly stated and represents the population after 2002, we can find the population after a certain number of years by plugging that number into the function. For example, to find the population after 5 years (in 2007), we would use:

P(5) = 88,200(1.04)^5 = 105,159.43

This means that the population of the city in 2007 would be approximately 105,159 people.

As for the rate of increase, we can see that the function is an exponential growth model with a base of 1.04, which means that the population increases by 4% each year.

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Answer:

Step-by-step explanation:

Given that:

A professional climber makes his way up to 828 meters in 6 hours in Burj Khalifa.

Therefore; in two hours, he would have climbed:

x = (828 m × 2hrs)/6 hrs

x = 276 miles

In five hours, he would have climbed;

y = ( 828 m × 5 hrs)/6 hrs

y = 690 miles

SInce 60 minutes = 1 hour

Then 15 minutes will be ( 15)/60 = 0.25 hours

Thus, in the last 15 minutes;

He climbed  = (828 m × 0.25 hrs)/6 hrs = 34.5 miles

Answer:

...

Step-by-step explanation:

The bakery that Zari should use to order the greatest number of cupcakes is given as follows:

Betty's Bakery.

The equation that models the cost of d dozens of cupcakes from Betty's Bakery is given as follows:

C(d) = 18d + 20.

Zari has $110 to spend, hence the number of dozens of cupcakes that he can purchase is obtained as follows:

110 = 18d + 20

18d = 90

d = 5 dozens.

For Betty's Bakery, the table gives a proportional relationship with a constant of 24, hence the equation is given as follows:

C(d) = 24d.

Hence the number of dozens that Zari can purchase is obtained as follows:

24d = 110

d = 110/24

d = 4 (rounded down).

4 < 5, hence the first option is better.

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The correct menu choice for conducting a matched-pairs difference test with unknown variance is option C.

paired two sample for means assuming equal variances. This option is appropriate when the population variances are assumed to be equal, but their values are unknown. This test is also known as the paired t-test, and it is used to compare the means of two related samples.

The test assumes that the differences between the paired observations follow a normal distribution. It is often used in experiments where the same subjects are tested under two different conditions, and the researcher wants to determine if there is a significant difference in the means of the two conditions.

Option A, data > data analysis > z-test, is not appropriate for a matched-pairs test because the population variance is unknown. Option B, paired two sample for means, assumes that the population variances are known, which is not always the case. Option D, paired two sample for means, is not appropriate for an unknown variance scenario.

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Step-by-step explanation: :)

Answer:

19.990

Explanation:
You can find this by rounding 19.992 on a number line to the nearest tenth. Tens is the first 2 numbers in a number.

Example: 2.535.783
Eighty-Three would be the tenth number.

Answer:

c = 0

Step-by-step explanation:

15 – 5(4c – 7) = 50

Expand.

15 - 20c + 35 = 50

Isolate 20c.

-20c = 50-15-35

Evaluate.

-20c = 0

Remove the negative sign.

-20c × (-1) = 0 × (-1)

Two negatives make a positive. Anything multiplied by 0 becomes 0.

20c = 0

Find c.

c = 0 ÷ 20

Evaluate.

c = 0

c = 7/4 is the solution to the equation 15 - 5(4c - 7)

Let's solve the equation step by step:

15 - 5(4c - 7) = 50

First, distribute the -5 to the terms inside the parentheses:

15 - 20c + 35 = 50

Combine like terms:

50 - 20c + 35 = 50

Combine the constant terms:

-20c + 85 = 50

Next, isolate the term with c by subtracting 85 from both sides of the equation:

-20c = 50 - 85

Simplify:

-20c = -35

Finally, divide both sides by -20 to solve for c:

c = (-35) / (-20)

Simplifying the division:

c = 7/4

Therefore, the solution to the equation 15 - 5(4c - 7) = 50 is c = 7/4.

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Answer:

Equation 75 X .45 = P

P = 33.75

Answer:

From the box plot we get:

Answer:

the other person is correct!

Step-by-step explanation:

Show them some love <3!

1. The variable used to predict another variable is called the dependent variable.

2. The predicted attendance if the temperature is 90 degrees would be 9,750.

3. The computed test statistic, rounded to three decimal places, would be approximately 2.071.

1. The variable used to predict another variable is called the dependent variable. It is the variable that is being predicted or explained by the independent variable.

The variable used to predict another variable is called the dependent variable.

2. The given equation is Attendance = 16,500 - 75 * Temperature.

If Temperature is 90 degrees, we can substitute this value into the equation to find the predicted attendance.

Attendance = 16,500 - 75 * 90

Attendance = 16,500 - 6,750

Attendance = 9,750

Therefore, the predicted attendance if the temperature is 90 degrees would be 9,750.

The predicted attendance if the temperature is 90 degrees would be 9,750.

3. To calculate the test statistic, we need to use the formula:

test statistic = (sample correlation coefficient * sqrt(sample size - 2)) / sqrt(1 - sample correlation coefficient^2)

Given:

Sample size (n) = 25

Sample correlation coefficient (r) = 0.60

Substituting these values into the formula:

test statistic = (0.60 * sqrt(25 - 2)) / sqrt(1 - 0.60^2)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(1 - 0.36)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(0.64)

test statistic ≈ (0.60 * sqrt(23)) / 0.8

test statistic ≈ 1.380 / 0.8

test statistic ≈ 1.725

Rounding to three decimal places, the computed test statistic would be approximately 2.071.

The computed test statistic, rounded to three decimal places, would be approximately 2.071.

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Answer:

Vertical angles are always congruent.

Step-by-step explanation:

Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.

Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:

<a and <b,

<c and <d.

Thus, <a is congruent to <b, and <c is congruent to <d.

Therefore, the standby that is true about vertical angles is that:

Vertical angles are always congruent.

9514 1404 393

Answer:

Step-by-step explanation:

A stretch can be vertical, horizontal, or both.

Multiplying the function value by a factor greater than 1 will stretch the graph vertically.

Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.

__

The graph is stretched by the factor according to how it is applied.

Answer:

perimeter is 36 and area I think is 72

Step-by-step explanation:

The functions that approach negative infinity as x approaches negative infinity are a, b and d.

What is the definition of a function?

In mathematics, a function is a rule that assigns to each element in a set (called the domain) a unique element in another set (called the range). In other words, a function is a relationship between two sets of values in which each input value maps to exactly one output value.

Formally, we can define a function f as follows:

Let A and B be two sets. A function f from A to B is a rule that assigns to each element x in A a unique element f(x) in B. We write f(x) = y to indicate that the element y in B is the image of the element x in A under the function f.

Now,

The function that approach negative infinity as x approaches negative infinity are:

a. f(x) = (4x + 1)(3x + 5)(x - 2)

b. f(x) = -4.8x(2x + 3)(x - 9)(x + 5)

d. f(x) = -0.5x(3x - 7)(4x + 1)(x + 9)(x - 3)

To see why, note that as x approaches negative infinity, the dominant term in the function will be the term) with the highest power of x. For functions a, b, and d, the dominant term have a negative coefficient and a power of x that is either 3 or higher, which means that these functions will approach negative infinity as x approaches negative infinity.

Functions c, e, and f have dominant terms with positive coefficients and/or powers of x that are less than 3, so they do not approach negative infinity as x approaches negative infinity.

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The error that occurred in finding the number of people who lived in the circular region would be that the diameter was substituted into the formula for the area of a circle instead of the radius. That is option B.

Population density is defined as the concentration of people or the gathering of individual in a particular geographical area.

The formula that is used to calculate the population density is given as follows;

Population density = total number of people/land area

The circular land area should be calculated using the area of a circle = πr²

r = radius = diameter/2 = 7.5/2

Density = 1550 people/mile²

Therefore, the error found in the calculation is that the diameter (7.5) was used instead of the radius.

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

6.2x

Step-by-step explanation:

x = -17/5

hope its helpful ❤❤❤

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❤

Answer:

$190

Step-by-step explanation:

used the calculator!

Answer: B: 190 dollars

Step-by-step explanation: This is relatively simple, but lets walk through it. First, take out the cents and add them separatly,

75

65

33

You get 1.73!

Now, add the large numbers,

112

29

48

You get 189!

Add these and get 190.73! All you need to do now is round to the nearest given answer, and you get 190 dollars!

Hope this helps, if not, comment down below please!!!

The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .

L'Hopital's Rule in calculus is used to evaluate weird limits that result in indeterminate forms that are 0/0, ∞/∞ .  These types of limits

(a) cannot be calculated by direct substitution of limit and/or

(b) can be evaluated but using a very long procedure .

that means if \(\lim_{x \to a} \frac{f(x)}{g(x)}\) = 0/0  or ∞/∞ ,

then \(\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}\)

In the question ,

there are several indeterminant forms given which are  0.∞ ,  \(0^{0}\) , \(1^{\infty}\) , 0/0 ,  ∞ - ∞ , ∞/∞ ,  ∞⁰  .

By the definition of L'Hopital's Rule , the option that matches with the definition is 0/0 and ∞/∞ ,

So , the correct option is (d) 0/0 and (f) ∞/∞   .

Therefore , The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .

The given question is incomplete , the complete question is

Select EVERY indeterminate form to which L'Hopital's Rule can be directly applied to (there may be more than one).

(a) 0.∞

(b) \(0^{0}\)

(c) \(1^{\infty}\)

(d) 0/0

(e) ∞ - ∞

(f) ∞/∞

(g) ∞⁰

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Answer:

you need 32 eggs

Step-by-step explanation:

48 divided by 12=4

8x4=32

Answer:

2 eggs

Step-by-step explanation:

take the 48 and divide by 12 to get the answer, then take the 8 eggs and divide it by the answer you get to the first part, and you will get the amount of eggs.

A real number b is a lower bound for the real zeros of f when no real zeros are less than b, and is an upper bound when no real zeros are greater than b.

A real number b is a lower bound for the real zeros of a function f when no real zeros are less than b. In other words, if a real number b is a lower bound, it means that all the real zeros of the function f are greater than or equal to b. So, b sets a limit or boundary below which no real zeros exist.

Similarly, a real number b is an upper bound for the real zeros of a function f when no real zeros are greater than b. If b is an upper bound, it means that all the real zeros of the function f are less than or equal to b. Therefore, b establishes a limit or boundary above which no real zeros exist.

These bounds help us understand the possible range of values for the real zeros of a function and provide information about where the real zeros may lie.

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The answer of the given question based on the Irons is trying to lay out the bases for a game of kickball such that the infield is a square the answer is  first base and third base should be about 35.4 feet apart.

The Pythagorean theorem is  fundamental concept in geometry that relates to three sides of right triangle. It states that in right triangle, the square of  length of  hypotenuse (the side opposite the right angle) is equal to  sum of the squares of  lengths of other two sides.

We can use the Pythagorean theorem to find this distance.

Let's call the distance between home base and first base "a". We know that the distance between home base and third base is also "a", because the infield is a square. We also know that the distance between home base and second base (which is the hypotenuse of the right triangle formed by home base, first base, and second base) is 25 feet.

Using the Pythagorean theorem, we can solve for "a":

a² + 25² = a² + a²

2a² = 25²

a² = (25²)/2

a = sqrt((25²)/2) ≈ 17.7 feet

So the distance between first base and third base should be approximately 35.4 feet (2a). Rounding to the nearest tenth of a foot, this is 35.4 feet. Therefore, first base and third base should be about 35.4 feet apart.

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