16% of ____ shirts are 44
How many shirts are there?

Answer:

answer is F. 5

Step-by-step explanation:

5 is the answer

Answer:

4.255 ft²

Step-by-step explanation:

the area of the figure =

(2.25 × 1.5)+(1/8 ×3.14× 1.5²)

= 3.375 + 0.88

= 4.255 ft²

Answer:

Area = πr2 - pie x radius2

Circumference = 2πr 2pie x radius

Step-by-step explanation:

The equation of the line that is tangent to the graph of f and parallel to the given line is:y = 0.

Given that,

      f(x) = 2x²,

Line 4x - y + 4 = 0

The equation of a tangent line can be represented by:

        y - y1 = m(x - x1)

where (x1, y1) is a point on the tangent line and m is the slope of the tangent line.

Since we want a line parallel to 4x - y + 4 = 0, we know that it has the same slope as 4x - y + 4 = 0.

Rearranging this line gives:

                                    4x + 4 = y + y

                                    or

                                     4x - y + 4 = 0

has the form

                                  y = 4x + 4.

The slope of the tangent line is given by the derivative of the function.

Therefore:

              f'(x) = 4x

Taking the derivative gives us the slope of the tangent line at any point on the function.

At x = 0, the slope of the tangent line is:

                  f'(0) = 4(0)

                           = 0

So, the point (0, f(0)) = (0, 0) is a point on the tangent line.

Since we now have a point on the tangent line and its slope, we can write the equation of the tangent line:

y - 0 = 0(x - 0)

or:

y = 0

Finally, we can conclude that the equation of the line that is tangent to the graph of f and parallel to the given line is:y = 0.

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The most appropriate choice for percentage will be given by-

14 categories can be carried

What is Percentage?

Percentage is a ratio expressed as a percentage of 100.

Total area of selling space = \(2500 ft^2\)

Percentage of space used for isles = \(30\) %

Area of space used for isles = \(\frac{30}{100} \times 2500\)

                                               = \(750 ft^2\)

Area of space left = \(2500 - 750\)

                              = \(1750 ft^2\)

Area of space reserved for each category =  \(125 ft^2\)

No of categories = \(\frac{1750}{125}\)

                            = \(14\)

14 categories can be carried

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A good half a mile time is totally good, if a half mile is the longest distance you've ever run, try a 3/4 mile run the next time. After a few successful attempts at that distance, increase it to a mile.

In the given question, we have to explain, what is a good half a mile time.

First, some background is required for 5:43 for half a mile. When did you start running? Was that time calculated using a full effort, or was it only the distance covered without walking? Don't worry about if it's good if you're spanking new. Use it as a foundation.

Second, like with most things in life, practise makes perfect, and running performance is no exception. If a half mile is the longest distance you've ever run, try a 3/4 mile run the next time. After a few successful attempts at that distance, increase it to a mile. The goal is to gradually push your boundaries until you consistently cross that threshold and then push your limits even farther.

Your body will be encouraged to adapt to the challenge, grow to it, and become prepared for when the challenge gets harder.

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Michael's actual heart rate was about 2 beats per minutes less than the rate predicted by the line of best fit. The correct option is B

A scatterplot is a data visualization that depicts the relationship between two numerical variables. Each dataset member is plotted as a point whose x-y coordinates correspond to its values for the two variables.

On each of the eighteen days, Michael swam 2,000 yards. The scatterplot above depicts his swim time and heart rate after each swim. The data's best fit line is also shown.

From the graph the actual heart rate=150

but calculated heart rate from best fit line=148

Difference between actual and calculated=150−148=2

Option B is correct.

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Answer:

Answer is x=839​ and y=−8 Explanation: Here you just substitute y=−8 in the first equation 8x+6y=−9 ...

Step-by-step explanation:

The equivalent solution to the expression (15³)(15-7) is 27000.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is (15³)(15-7). The expression will be solved as below:-

E = (15³)(15-7).

E = 3375 x 8

E = 27000

Therefore, the solution of the expression is 27000.

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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75% people came to each other activities

PERCENTAGES:

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

The music concert was attended by 250 people

350 people attended the drama play

the percentage of people at other activities

30 /100 × 250 = 75%

75% people came to each other activities

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The assumptions for a chi square test for homogeneity are

In statistics, the chi square test is used to determine where there exists a relationship or association between two variables

Amongst other assumptions, the variables are assumed to be categorical variables.

This means that variables can be used as labels

The other assumptions are:

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Answer:

n = 3/25

Step-by-step explanation:

5(n-1/10)=1/2

5n = 6/10

n = 3/25

Answer:

Step-by-step explanation:

lets remove the parenthesis

5n- 5/10=1/2

5n=1/2+1/2

5n=1

n=1/5

When on a stem and leaf plot and it does not show a number on the right side and only on the right side, the number on the right side would be zero.

A stem and leaf plot is a method of organizing numerical data into groups. It is a visual representation of a dataset in which each value is separated into a stem and a leaf. A stem is the left-hand digit(s) of the value, while a leaf is the right-hand digit(s).

The stem and leaf plot contains two columns, one for the stem and the other for the leaf. The stem values are arranged vertically in the left-hand column, and the leaf values are arranged horizontally in the right-hand column. The leaf column should be read from left to right to extract the values.

When a value appears multiple times, its leaves are stacked on top of one another. The stem and leaf plot is an effective method for representing data, particularly when dealing with large datasets.

Hence, If a stem and leaf plot displays a number only on the left side and not on the right side, then the number on the right side would be interpreted as zero.


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Answer:

Yes

Step-by-step explanation:

91 is a multiple of 13 because it is divisible by 13.

91 divided by 13 is equal to 7.

This means 91 is a multiple of 13, because you can multiply 13 by 7 to get 91.

Answer:

yes

Step-by-step explanation:

7x13=91

you can multiply a number with 13 to get 91.

Answer:

a. This conjecture is true. For example, (7)(4) = 28. The product of 28 is greater than 7 and greater than 4

b. This conjecture is false. There is a counterexample that would prove this conjecture false.

Step-by-step explanation:

The conjecture is true because, if we multiply two numbers, then their product is greater than either number. As given in the example, 7 × 4 = 28. 28 is greater than both 7 and 4.

Also, if we multiplied a fraction by a whole number, the result would be less than one of the numbers. For example 1/2 × 4 = 2. 2 is greater than 1/2 but not 4. So, the conjecture is false.

If we multiply two fractions, the result is less than both fractions. For example 1/2 × 1/4 = 1/8. 1/8 is less than both 1/2 and 1/4. So, the conjecture is false.

The precious two examples show that there are counterexamples which prove that the conjecture is false although it is true sometimes.

Answer:

1/40

219/250

69/16

Step-by-step explanation:

1.

0.025=(025)/(1000)=1/40

2.

0.876=876/1000=219/250

3.

4.3125=43125/10000=1725/400=69/16

The wire is 67 decimeters long as a result.

You should be aware that 1 centimeter is equivalent to 0.1 decimeters, meaning that 10 centimeters make up one decimeter. To convert, divide the centimeter number by 10 or increase it by 0.1.

To convert meters to decimeters, we need to multiply the length by 10, since there are 10 decimeters in a meter. So:

6.7 meters * 10 decimeters/meter = 67 decimeters

Therefore, the cable is 67 decimeters long.

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The pdf of Z is f(z) = (1/5)e^(-z/5), the second moment of Z is 50, and the probability that Z is greater than its first moment is approximately 0.368.

(a) Since Z is an exponential random variable with a variance of 25, we first need to find its parameter λ. For an exponential distribution, Var[Z] = 1/λ^2. So, 25 = 1/λ^2, which implies λ^2 = 1/25, and λ = 1/5. The probability density function (pdf) of Z is given by: f(z) = λ * e^(-λz) = (1/5)e^(-z/5) for z ≥ 0.

(b) The second moment of Z, denoted as E[Z^2], can be found using the following formula for an exponential distribution: E[Z^2] = 2/λ^2 = 2/(1/25) = 50.

(c) The first moment of Z is its expected value, E[Z] = 1/λ = 5. To find the probability that Z is greater than its first moment, we need to calculate P(Z > 5). This can be done using the complementary probability: P(Z > 5) = 1 - P(Z ≤ 5). From the CDF (cumulative distribution function) of Z, we have P(Z ≤ 5) = 1 - e^(-λz) = 1 - e^(-1). Therefore, P(Z > 5) = 1 - (1 - e^(-1)) = e^(-1) ≈ 0.368.

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36 number of ways to set out the letters without the i's together.

Order of the letters matters, so, this is a permutation problem.

Now we will determine in how many ways we can arrange these letters.

There are 2 repeating i's, so, we can arrange the letters:

5!/2! = 120/2

= 60 ways.

We also have the following equation:

60 = (number of ways to arrange the letters with the i's together) + (number of ways without the i's together).

To find the no. of ways to set out the letters with the i's together.

We have: [i-i] [d] [g] [t]

We see that with the i's together, we have:

4! = 24 ways to arrange the letters.

Thus, the number of ways to set out the letters without the i's together is:

60 – 24 = 36.

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Answer:

$1.75

Step-by-step explanation:

First, find the cost of just the socks. Subtract the total cost by the cost of the shirt.

total cost - cost of shirt

We know that the socks and shirt cost $22.95. We also know a shirt costs $8.95, so we can subtract $8.95 from $22.95.

$22.95 - $8.95

$14

It cost $14 for the socks.

Now, find the cost of each pair of socks. Divide the sock cost by the pairs.

sock cost/pairs

We know that each pair costs the same amount, and 8 pairs were purchased. Therefore, we can divide $14 by 8.

$14/8

$1.75

Each pair of socks cost $1.75

Answer:

See Explanation

Step-by-step explanation:

According to The Question,

Given That, On a coordinate plane, ΔPQR and ΔSTU are shown. ΔPQR has points (4,4) , (-2,0) , (-2,4). ΔSTU has points (2,-4) , (-1,-2) , (-1,-4).

The distance between two points on the coordinate plane is given as:

Distance = \(\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }\)

IQRI = \(\sqrt{(-2_{}-(-2)_{})^{2} + (4_{}-0_{})^{2} }\) = 4

IPQI = \(\sqrt{(-2_{}-4_{})^{2} + (0_{}-4_{})^{2} }\) = √52

IPRI = \(\sqrt{(-2_{}-4_{})^{2} + (4_{}-4_{})^{2} }\) = 6

ISTI = \(\sqrt{(-1_{}-2_{})^{2} + (-2_{}-(-4)_{})^{2} }\) = √13

ISUI = \(\sqrt{(-1_{}-2_{})^{2} + (-4_{}-(-4)_{})^{2} }\) = 3

ITUI = \(\sqrt{(-1_{}-(-1)_{})^{2} + (-4_{}-(-2)_{})^{2} }\) = 2

Now, Verifying that the triangles are similar  

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2  

|PQ| / |ST| = √52 / √13 = 2

Hence,   |QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

Answer: the answer is Complete the statements to verify that the triangles are similar.

StartFraction Q R Over T U EndFraction = ✔ 2

StartFraction P R Over S U EndFraction = ✔ 2

StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction = ✔ 2

Therefore, △PQR ~ △STU by the ✔ SSS similarity

theorem.

Step-by-step explanation: it is show down below.

Given that the bag contains 200 pennies and 400 nickels. We are asked to find the probability of drawing a penny on the 1st try.

Explanation

The probability of an event is given as;

In this case, the number of favorable outcomes is the number of pennies while the total possible outcomes

is the sum of the coins in the bag.

Therefore, we will have

Answer:

Answer:

x= 1/27

Step-by-step explanation:

the correct answer is : X = 1/27

Answer:

- 1/2

Step-by-step explanation:

To solve for x in the equation 3^2x = 1/3, we can start by taking the logarithm of both sides with base 3:

log3 (3^2x) = log3 (1/3)

Using the logarithmic property logb (a^n) = n * logb (a), we can simplify the left side:

2x * log3 (3) = log3 (1/3)

Since log3 (3) = 1, we can simplify further:

2x = log3 (1/3)

To find the value of the logarithm on the right side, we can use the definition of logarithms: logb (a) = c if and only if b^c = a. Since 1/3 = 3^-1, we have:

2x = log3 (3^-1) = -1

Finally, to solve for x, we divide both sides of the equation by 2:

x = -1/2

So the solution to the equation 3^2x = 1/3 is x = -1/2.

To find a function that satisfies the given criteria, we can start by determining the requirements for its derivative, f'(x).

Let's break down the given properties and find the corresponding requirements for f'(x): f(x) is decreasing at x = -6: This means that the slope of the function should be negative at x = -6. Therefore, f'(-6) < 0. f(x) has a local minimum at x = -3: At a local minimum, the slope changes from negative to positive. Thus, f'(-3) = 0. f(x) has a local maximum at x = 3: At a local maximum, the slope changes from positive to negative. Hence, f'(3) = 0.

Now, let's integrate f'(x) to obtain f(x): Integrating f'(x) = -6 < x < -3 will give us a decreasing function on that interval. Integrating f'(x) = -3 < x < 3 will give us an increasing function on that interval. Integrating f'(x) = 3 < x < 6 will give us a decreasing function on that interval. To simplify the process, let's assume that f'(x) is a quadratic function with roots at -6, -3, and 3. We can represent it as: f'(x) = k(x + 6)(x + 3)(x - 3), where k is a constant that affects the steepness of the curve. By setting f'(-3) = 0, we find that k = -1/18.

Therefore, f'(x) = -1/18(x + 6)(x + 3)(x - 3). Integrating f'(x) will give us f(x): f(x) = ∫[-6,x] -1/18(t + 6)(t + 3)(t - 3) dt. Evaluating this integral is a bit complicated. Let's denote F(x) as the antiderivative of f(x): F(x) = ∫[-6,x] -1/18(t + 6)(t + 3)(t - 3) dt. Now, we can find f(x) by differentiating F(x): f(x) = d/dx[F(x)]. To get an explicit equation for f(x), we need to calculate the integral and differentiate the resulting antiderivative. Once you have the equation for f(x), you can plot it on the provided graphing option to verify that it matches the criteria mentioned in the question.

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First, note that the degree of the polynomial is the highest power of x that appears in the expression. In this case, the degree is max(n, 5, m, 2).

Next, consider the leading coefficient of the polynomial, which is the coefficient of the term with the highest power of x. In this case, the leading coefficient is a.

Based on this information, here are some possible general shapes of the graph of y=f(x):

If n is even and a > 0, the graph of y=f(x) looks like a "U" shape, with both ends pointing upwards.

If n is even and a < 0, the graph of y=f(x) looks like an upside-down "U", with both ends pointing downwards.

If n is odd and a > 0, the graph of y=f(x) looks like a "v" shape, with the vertex pointing upwards.

If n is odd and a < 0, the graph of y=f(x) looks like an upside-down "v", with the vertex pointing downwards.

Note that these are just general shapes, and the actual graph could be modified by the other terms in the polynomial. Additionally, the values of b, c, d, and the constants could also affect the shape and behavior of the graph.

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Complete Question is : let f(x)=ax^n+bx^5+36/cx^m-dx^2+9 where m and n are integers and a,b,c and d are unknown constants. what is the possible graph of the function?

Answer:

C

Step-by-step explanation:

11+5=15

15+11=26

15 does not equal 26

Answer:C 11 + 5 = 15 + 11

Step-by-step explanation:

This is the only one that is false because the left side of the equation is equal to 16 and the right side of the equation is equal to 26

The sum of the measure of angle of a triangle = 180° .

Given two angles = 92° and 72°

92° + 72° = 164°

180° - 164° = 16° (Ans)

Answer:

the answer is  16!

To evaluate the integral by reversing the order of integration, we first need to draw the region of integration. From the given limits of integration, we can see that the region is a rectangle with vertices at (0,4), (0,12), (11,4), and (11,12).

Now, we can reverse the order of integration by integrating with respect to y first, and then x. The new limits of integration will be y = 4 to y = 12 and x = 0 to x = 11e^(2y/3).

So, the new integral will be:

∫(0 to 11) ∫(4 to 12) 3y e^(2x/3) dy dx

We can evaluate this integral using integration by parts. Integrating with respect to y gives us:

∫(0 to 11) [3y^2/2 e^(2x/3)] from y = 4 to y = 12

Simplifying this expression gives us:

∫(0 to 11) [36e^(2x/3) - 6e^(8x/3)]/2 dx

Now, integrating with respect to x gives us:

[27e^(2x/3) - 9e^(8x/3)] from x = 0 to x = 11

Substituting these values and simplifying gives us the final answer:

(27e^22/3 - 9e^88/3) - (27 - 9) = 27e^22/3 - 9e^88/3 - 18

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