THERES A PICTURE
HELP ME PLEASEEEEE AND THANK YOUUUUU

Answer:

  height = 2/5h

Step-by-step explanation:

You want the height of a frustum if the volume of the frustum is 98/125 times the volume of the original cone, which was of height h.

Let h' represent the height of the part of the cone that is removed to leave the frustum. Then its volume (v') is ...

  v' = (volume of large cone)(1 - 98/125) = v·(27/125)

The scale factor between h' and h is ...

  (h'/h)³ = v'/v = 27/125

  h'/h = ∛(27/125) = 3/5

The height of the frustum in terms of the height of the original cone is ...

  frustum height = (height of large cone) - (height of small cone)

  frustum height = h - (3/5)h

  frustum height = 2/5h

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The area of the rectangular piece to be painted after cutting will be 1200 cm².

What is the definition of a rectangle?

Rectangles are four-sided polygons with 90-degree internal angles. Two sides meet at right angles at each corner or vertex. The rectangle is distinguished from the square by the fact that its opposite sides are of equal length.

If one side of a rectangle is 20 cm long, the opposite side is also 20 cm long.

A rectangle has two intersecting diagonals. The length of both diagonals is the same.

The perimeter is defined as P = 2 (Length + Width).

Area of a Rectangle=Length*Breadth

Now,

Length of cardboard=42cm

breadth=32 cm

Area of cardboard=42*32=1344cm²

Area of square to be cut=6*6=36cm²

and total 4 squares are cut

Then the area of the box that is made to be painted is =1344*4*36

=1200 cm²

hence,

          The area of the rectangular piece to be painted after cutting will be 1200 cm².

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Answer:

Step-by-step explanation:

Part A
First find the measure of angle C which is 52° due to it being next to angle D

Next add 52 to angle B to get 142

Subtract 142 from 180 to get 38°

Angle A is 38°

Part B

The fourth option is correct

The rational function on the graph is the one in options B.

f(x) = 1/(x - 1)

Here we can see that the we have the graph of a rational function.

Notice that we have an asymptote  at x = 1.

That means that the denominator becomes zero when we evaluate the function in x = 1.

Then the denominator is something like:

x + a

And when x = 1 we get:

1 + a = 0

a = -1

Then the denominator is:

x - 1

And the rational function is:

f(x) = 1/(x - 1)

The correct option is B.

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Answer: The inverse of the function y = 2^x^2 - 4 is not a function because it is not a one-to-one function.

Step-by-step explanation:

The inverse of a function is a reflection of the original function over the line y = x. To find the inverse of the function y = 2^x^2 - 4, we need to switch the variables x and y and then solve for x.

y = 2^x^2 - 4

x^2 = log2(y + 4)

x = sqrt(log2(y + 4))

However, this expression is not the inverse of the original function because it is not a one-to-one function, meaning that the same output can have multiple inputs. For example, log2(10) = 3 and log2(14) = 3.5, so sqrt(log2(10)) = sqrt(3) = sqrt(log2(14)) = sqrt(3.5). This means that for y = 10, x can be either sqrt(3) or sqrt(3.5), which is not allowed in a function.

Therefore, the inverse of the function y = 2^x^2 - 4 is not a function.

The probability that the player takes exactly 5 shots before missing one is approximately 0.0539, or 5.39%.

The probability of missing a free throw shot is 0.12, and the probability of making a free throw shot is 0.88 (which is 1 - 0.12).

To find the probability that the player takes exactly 5 shots before missing one, we can use the geometric distribution, which models the number of independent and identical Bernoulli trials needed to get a success.

In this case, a "success" is missing a free throw shot, and the "trials" are the number of shots the player takes before missing one. The probability of success (missing a shot) is p = 0.12, and the probability of failure (making a shot) is q = 0.88. The probability of taking exactly 5 shots before missing one is:

P(X = 5) = q^4 * p

where X is the random variable representing the number of shots the player takes before missing one.

Plugging in the values, we get:

P(X = 5) = (0.88)^4 * 0.12

= 0.0539

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Percentage decrease is the difference between starting and ending values. It shows a loss of value from the original expressed as a percentage regardless of units. The amount of decrease is the original amount minus the final amount.

The formula for Percent Decrease is: Decreased Value = (Original Value – New Value)/Original Value.

The computation of our Percent Decrease:

= (64 - 21)/61 * 100

= 70.49%

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Answer:

(36 - 18x) / x√(36x^2)

Step-by-step explanation:

I assume that the expression is:

1/x - 3/6

To simplify the expression and put it in the simplest radical form, we need to find a common denominator for the two terms. In this case, the least common multiple (LCM) of the denominators is 6x. Thus, we can rewrite the expression as:

(6/x) / (6x/6) - (3/6) / (6x/6)

Simplifying the above expression gives:

(6/x) / (x/6) - (3/6) / (x/6)

(6/x) * (6/x-3) / (x/6)

Simplifying the expression further gives:

(36/x^2 - 18/x) / (x/6)

We can simplify this expression by multiplying the numerator and denominator by 6x^2, which gives:

(36 - 18x) / x√(36x^2)

Therefore, the expression in the simplest radical form is:

(36 - 18x) / x√(36x^2)

Answer:

102.4 square feet

Step-by-step explanation:

1. divide 32 by 5 to find how much square feet one bag of mulch covers

2. multiply that number (6.4) by 16 to find how many square feet 16 bags of mulch would cover

Answer:102.4 ft

Step-by-step explanation: do the math 32/5 = 6.4 6.4x16=102.4 ft

The height of the triangle is the distance that is found between the tip of the triangle at the top to the base of the triangle.

A triangle's height is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.

The length of a perpendicular segment from the base to the vertex directly across from it determines the height that corresponds to it. The vertex that is not an endpoint of the base is the one on the opposite side.

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Answer:

A large container is a better deal because for a large container the amount of jam per dollar is greater thank that in the three smaller containers.

Step-by-step explanation:

What is the volume of a cylinder?

The volume of a cylinder is given by -

V[c] = πr²h

Given is Terrel who has to buy either one large jar or three small jars of jam. A small jar has a diameter of 6 cm, a height of 7 cm, and costs $4. A large jar has a diameter of 8 cm, a height of 16 cm, and costs $12.

For one large container, its volume will be -

V[L] = πr²h = 22/7 x 4 x 4 x 16 = 804.56 cm³

Amount of jam per dollar = V[1] = 804.56 / 12 = 67.04 cm³

For three small containers, the total volume will be -

V[S] = πr²h = {22/7 x 3 x 3 x 7} x 3 = 594 cm³

Amount of jam per dollar = V[2] = 594 / 12 = 49.5 cm³

It can be seen that for a large container the amount of jam per dollar is greater than that in the three small container. Hence, a big container would be a better deal for Terrell.

Therefore, a large container is a better deal because  for a large container the amount of jam per dollar is greater than that in the three small container.

Answer:

Step-by-step explanation:

buy one large jar has which has a diameter of 8 cm, and a height of 16 cm.

Answer:

he inequality to determine the years in which more than 40% of women ages 25 and older in the United States will hold a bachelor's degree or higher is:

0.48t + 18 > 40

Subtracting 18 from both sides:

0.48t > 22

Dividing both sides by 0.48:

t > 45.83

So, for years t greater than 45.83, more than 40% of women ages 25 and older in the United States will hold a bachelor's degree or higher.

Step-by-step explanation:

To convert 640 L to cL, you would move the decimal point 4 places to the right. So the answer is 640 L = 64,000 cL.

Converting units is a common task in science, engineering, and everyday life. The conversion factor between liters (L) and centiliters (cL) is 1 L = 100 cL. To convert a quantity from liters to centiliters, you can multiply the number of liters by 100 or move the decimal point two places to the right. In this case, we have 640 L. To convert this to centiliters, we need to multiply 640 by 100, or move the decimal point two places to the right. Since there are two digits after the decimal point in 640, we can simply move the decimal point four places to the right to get 64,000 cL. Therefore, 640 L is equal to 64,000 cL.

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Answer:480

Step-by-step explanation

On solving the provided question, we can say that the linear equation 100(p + s) + 100(p + s)

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

salad costs s dollars per serving. he needs to order 100 lunches for seventh graders and 100 lunches for eighth graders

the linear equation

100(p + s) + 100(p + s)

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Answer:

6 students must play both piano and guitar

The value of x, y and z in the trapezoid are solved to be

x = 6.3

y = 6.7

z = 5

This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the polygon are congruent

Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions

Examining the figure the constant of proportionality from the quadrilateral  is

10 / 24 = 0.417

hence we solve for the dimensions as follows

x = 16 * 0.417 = 6.3

y = 16 * 0.417 = 6.67

z = 12 * 0.417 = 5

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The mean waiting time for 40 patients is 44.10 minutes. The median waiting time is 43.5 minutes. The mode waiting time is 42 minutes.

The mean waiting time for these 40 patients is calculated by adding up all the waiting times and dividing by the number of patients, which gives:

(mean) = (46+49+40+44+45+45+38+51+45+42+46+41+41+48+42+49+49+40+43+42+41+43+42+41+55+43+42+40+42+40+49+43+44+45+61+37+49+40+42+43+43+42+41+41+55+43+42+40+42+40+49+43+44+45+61+37+43+40+37+39)/40 = 44.10

Therefore, the mean waiting time is 44.10 minutes.

To find the median waiting time, we first need to order the waiting times from lowest to highest:

37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61

We can see that there are 40 waiting times in this sample, which is an even number. The median is the average of the two middle values, which are 43 and 44. Therefore, the median waiting time is:

(median) = (43+44)/2 = 43.5

The median waiting time is 43.5 minutes.

The mode is the most common value in the data set. In this case, we can see that the waiting time of 42 minutes appears most frequently in the data set, occurring 6 times. Therefore, the mode waiting time is:

(mode) = 42

The mode waiting time is 42 minutes.

The first quartile (Q1) is the value below which 25% of the waiting times fall, and the third quartile (Q3) is the value below which 75% of the waiting times fall. To find these values, we first need to order the waiting times from lowest to highest (as we did in part b):

37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61

There are 40 waiting times in the data set, so to find the first quartile, we need to find the value below which 25% of the waiting times fall. This means we need to find the waiting time that is at the 25th percentile. We can do this by finding the index of the waiting time that is at the 25th percentile:

25th percentile = (25/100) * 40 = 10

This means that the waiting time at the 10th index in the ordered list is the value at the first quartile. In this case, the waiting time at the 10th index is 41 minutes.

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____ The given question is incorrect, the complete question is given below:

There is a severe shortage of critical care doctors and nurses to provide intensive care services in hospitals. To offset this shortage, many hospitals, such as Emory Hospital in Atlanta, are using electronic intensive care units (eICUS) to help provide this care to patients (Emory University News Center). eICUs use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as Australia - can provide critical care services to patients located in remote hospitals without fully staffed ICUs. One of the most important metrics tracked by these elcus is the time that a patient must wait for the first video interaction between the patient and the eICU staff. Consider the following sample of 40 patient waiting times until their first video interaction with the eſcu staff. Click on the datafile logo to reference the data. DATA fill Wait Time (minutes) 46 49 40 44 45 45 38 51 45 42 46 41 41 48 42 49 49 40 43 42 41 43 42 41 55 43 42 40 42 40 49 43 44 45 61 37 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 43 40 37 39 a. Compute the mean waiting time for these 40 patients (to 2 decimals). minutes b. Compute the median waiting time (to 2 decimals). minutes c. Compute the mode (to 2 decimal). minutes d. Compute the first and third quartiles (to 2 decimals). minutes First Quartile: Third Quartile: minutes.

The number of millions of bacteria when the temperature is 38°C is 7, 600, 000 bacteria

Proportion can simply be defined as a mathematical comparison of numbers.

The different types of proportion in mathematics are;

From the information given, we have that;

When the temperature was 35 degree Celsius, the number was 7 million

Then, we have the representation given as;

35°C = 7, 000, 000

Then 38°C = x

cross multiply, we get;

x = 7, 000, 000 × 38/35

divide the values

x = 7, 600, 000 bacteria

Hence, the value is 7, 600, 000 bacteria

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Factors other than independent variables which may act on the dependent variable , when these factors vary systematically with independent variable they are known as confounds variables or extraneous variable.

Therefore, factors which vary systematically with the given independent variable is called  confounds variables or extraneous variable.

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The initial amount A is 1 and the growth factor B is 1.4 in the Exponential function f(t)=14^x.

Given,

f(x) = 1.4^x

It is an exponential function.

y = a.b^x

where a is the initial quantity and b is the growth/ decay component.

Now we are able to examine the given feature with

A = 1

B = 1.4

An exponential function is a mathematical function that has the form f(x) = a^x, where a is a constant greater than zero and not equal to one, and x is a variable. This function is widely used in a variety of fields, such as finance, physics, and biology, due to its ability to model growth, decay, and change over time.

Exponential functions are essential in understanding various natural phenomena, from population growth to radioactive decay, and they play a crucial role in the advancement of scientific research.The exponential function has several unique properties, such as exponential growth, where the function grows at an increasing rate as x increases. Additionally, the function has an asymptotic relationship with the x-axis, meaning it never actually touches the x-axis but gets infinitely close to it.

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Left and right multiplying a positive semi-definite matrix by another matrix will always result in a positive semi-definite matrix.

Positive semi-definite matrices are important in many areas of mathematics and science, including linear algebra, optimization, and physics.

Let A be a positive semi-definite matrix, and let B be an arbitrary matrix. We want to determine whether AB and BA are also positive semi-definite matrices.

First, let's consider AB. To show that AB is positive semi-definite, we need to show that for any non-zero column vector x, xT(AB)x ≥ 0. We can expand this expression as:

xT(AB)x = (xTA)Bx = yTBy

where y = Ax. Since A is positive semi-definite, we know that yTy ≥ 0 for any vector y. Therefore, we have shown that xT(AB)x ≥ 0 for any non-zero column vector x, and hence AB is positive semi-definite.

Next, let's consider BA. To show that BA is positive semi-definite, we need to show that for any non-zero column vector x, xT(BA)x ≥ 0. We can expand this expression as:

xT(BA)x = (xTB)Ax = zTAz

where z = Bx. Since A is positive semi-definite, we know that zTAz ≥ 0 for any vector z. Therefore, we have shown that xT(BA)x ≥ 0 for any non-zero column vector x, and hence BA is also positive semi-definite.

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120% is equivalent to the fraction 11/5.

Fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin.  

If 1/5 = 20%, then we can convert 120% to a fraction by first dividing by 100 to get the decimal equivalent, and then adding 1 to get the fractional equivalent:

120% = 120/100 = 1.2

1.2 + 1 = 2.2

Therefore, 120% is equivalent to the fraction 11/5.

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Answer:

[tex]\huge\boxed{\sf S=\frac{20}{6} \pi \ mm}[/tex]

Step-by-step explanation:

Radius = r = 10 mm

Degree = θ = 60°

Arc length = S = ?

[tex]\displaystyle S=\frac{\theta}{360} \times 2 \pi r[/tex]

Insert the values in formula.

[tex]\displaystyle S = \frac{60}{360} \times 2 \pi (10)\\\\S=\frac{1}{6} \times 20 \pi\\\\S=\frac{20}{6} \pi \ mm\\\\\rule[225]{225}{2}[/tex]

By determining the value of x when y = 0, (x, 0), and the value of y when x = 0, respectively, the x-intercept and y-intercept are determined (0, y).

A two-variable equation with a line-shaped graph is referred to as a linear equation. A collection of coordinate plane points that are all the solutions to the linear equation make up the graph. If all of the variables have true numerical values, the equation can be graphed by first drawing a sufficient number of points to identify a pattern, then connecting those points to include all of the points.

A linear equation is represented in standard form as

Ax+By=C,A,B≠0

The equation for y must first be solved before you may graph a linear equation in its usual form.

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

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The point of symmetry on f⁻¹(x) is (4, 6) which is false.

The domain of f(x) is (-∞, 4) which is false.

The graphs of f(x) and f(x) are reflections across the x-axis which is also false.

The range of f⁻¹(x) is (- ∞, ∞) which is true.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The function is given below.

f(x) = 5(x - 6)³ + 4

The inverse function of the function f(x) is given as,

x = 5(y - 6)³ + 4

y = ∛[(x - 4) / 5] + 6

f⁻¹(x) = ∛[(x - 4) / 5] + 6

The graph of the function and inverse function is given below.

The point of symmetry on f⁻¹(x) is (4, 6) which is false.

The domain of f(x) is (-∞, 4) which is false.

The graphs of f(x) and f(x) are reflections across the x-axis which is also false.

The range of f⁻¹(x) is (- ∞, ∞) which is true.

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The Roth IRA will provide Ethan with the most future benefit, with the IRA valued at $195,902.08 and the Roth at $211,633.75. The difference in the future value of the two accounts is $15,731.67.

A purchase made with the intention of creating income or capital growth is known as an investment. An asset's value increasing over time is referred to as appreciation. When a person invests in a thing, they do not intend to utilise it as a source of immediate consumption, but rather as a tool for future economic growth.

The Roth IRA will provide Ethan with the most future benefit. The IRA will be valued $195,902.08 after 30 years, while the Roth IRA will be worth $211,633.75. As a result, the Roth IRA is valued $15,731.67 more than the IRA.

To determine the IRA's future value, use the formula FV = P(1+r)n, where P is the monthly payment, r is the interest rate, and n is the number of periods (in this case, 30 years). With our data in, we get: FV = 416.66(1+0.025)30 = $195,902.08.

We may apply the same approach to compute the future value of the Roth IRA, but with a $5,000 yearly payout. With our values in, we get: FV = 5000(1+0.025)30 = $211,633.75.

The difference in the future value of the two accounts is $15,731.67, which is the amount that the Roth IRA will be worth more than the IRA.

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