Micah is shopping for work shirts. The short-sleeve shirts cost $18 each and the long-sleeve shirts cost $24 each. He wants to buy 2 more short-sleeve shirts than long-sleeve shirts, and he is willing to spend no more than $120 total. How many long-sleeve shirts can he buy?

Answer: Let the number = x

5x+10 = 120

Or, 5x = 120 - 10

Or, 5x = 110

Or, x = 110/5

Or, x = 2

Step-by-step explanation:

Answer:

V = 7234.56 km^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 (3.14) (12)^3

V = 7234.56 km^3

Answer:

7234, 56 km³

Step-by-step explanation:

π×R³×4/3=3.14×1728×4/3=7234, 56 km³

Answer:

12 square units

Step-by-step explanation:

formula= a+b/2×h

a=2

b=6

h=3

the answer will be = 2+6/2×3

=8/2×3

=4×3

=12

Answer:

17 square units i think

Answer:

Radius is 4.2

Diameter is 8.4

Step-by-step explanation:

diameterd=2r

d=2×4.2

d=8.4

Plz mark as brainllest

Answer:

The answer for radius is 4.2 cm. The answer for diameter is 8.4 cm.

Step-by-step explanation:

If the line cuts halfway through the middle it is a radius, as you can see there. It says 4.2 cm, so that's your radius. If the line is straight through the circle and not cut in half then it is a diameter. The radius is half of the diameter. So if you add 4.2 or multiply 4.2x2 then you get 8.4 which is your diameter.

a) The width of each subinterval is Δx = (3 - 0) / n = 3/n.\, b) The right endpoints of the first, second, and third subintervals are: x1 = 0 + Δx = Δx, x2 = x1 + Δx = 2Δx, x3 = x2 + Δx = 3Δx

The width of each subinterval is Δx = (3 - 0) / n = 3/n, b) The right endpoints are x3 = x2 + Δx = 3Δx, c) The general expression for the right endpoint of the kth subinterval is: xk = kΔx = k(3/n), d) f(xk) = 9(xk)^3 = 9(k(3/n))^3 = 9(27k^3/n^3) = (243k^3/n^3), e)f(xk)Δx = (243k^3/n^3) * (3/n) = (729k^3/n^4), f) ∑ (k=1 to n) f(xk)Δx = ∑ (k=1 to n) (729k^3/n^4), g) lim (n→∞) ∑ (k=1 to n) (729k^3/n^4) = ∫[0, 3] 9x^3 dx

To calculate the area between the function f(x) = 9x^3 and the x-axis over the interval [0, 3] using a limit of right-endpoint Riemann sums, we need to break the interval into n subintervals of equal width.

a. The width of each subinterval is Δx = (3 - 0) / n = 3/n.

b. The right endpoints of the first, second, and third subintervals are:

x1 = 0 + Δx = Δx

x2 = x1 + Δx = 2Δx

x3 = x2 + Δx = 3Δx

c. The general expression for the right endpoint of the kth subinterval is:

xk = kΔx = k(3/n)

d.To find f(xk), we substitute xk into the function f(x):

f(xk) = 9(xk)^3 = 9(k(3/n))^3 = 9(27k^3/n^3) = (243k^3/n^3)

f(xk)Δx is obtained by multiplying f(xk) by Δx:

f(xk)Δx = (243k^3/n^3) * (3/n) = (729k^3/n^4)

The value of the right-endpoint Riemann sum can be expressed as the sum of f(xk)Δx for each k:

∑ (k=1 to n) f(xk)Δx = ∑ (k=1 to n) (729k^3/n^4)

To find the limit of the right-endpoint Riemann sum as n approaches infinity, we evaluate the sum:

lim (n→∞) ∑ (k=1 to n) (729k^3/n^4) = ∫[0, 3] 9x^3 dx

The limit of the right-endpoint Riemann sum is equal to the definite integral of the function f(x) = 9x^3 over the interval [0, 3], which represents the area between the curve and the x-axis.

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What we have here in the picture is a graph of a segment. The goal is to find the segment's length, which we can do by using the distance formula:\(d^2=\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2\).

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Note that the distance between two points is equal to the length of the line segment that joins them.

So now we already have answers for two of the boxes.

The difference in the x-coordinates gives us the horizontal distance between the two points, while the difference in the y-coordinates gives us the vertical distance between the points.

So, the other two boxes should contain:

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Formula for volume of a rectangular prism

Volume = length * width * height

Volume = 4 * 2 * 3

Volume = 24 cubic cm

I hope this helps :)

The value of x, considering the similar triangles in this problem, is given as follows:

4.5 cm.

Two triangles are defined as similar triangles when they share these two features listed as follows:

Considering that y = 53º, the proportional relationship for the side lengths in this problem is given as follows:

x/9 = 3/6.

Applying cross multiplication, the value of x is obtained as follows:

6x = 27

x = 27/6

x = 4.5 cm.

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Answer:

Step-by-step explanation:

is a 18 and 27 yes to the following question

a) 18 = 2 x 3^2

    27 = 3^3

-> HCF = 3^2 = 9

b) 35 = 5 x 7

    75 = 3 x 5^2

-> HCF = 5

c) 144 = 2^4 x 3^2

   360 = 2^3 x 3^2 x 5

-> HCF = 2^3 x 3^2 = 72.

d) 30 = 2 x 3 x 5

    40 = 2^3 x 5

    45 = 3^2 x 5

-> HCF = 5

e) 144 = 2^4 x 3^2

    384 = 2^7 x 3

    432 = 2^4 x 3^3

-> HCF = 2^4 x 3 = 48.

Answer:

The answer would be 14

Step-by-step explanation:

To find the diameter you take the redius and times it by 2

Answer:

1.2m

Step-by-step explanation:

1 meter = 100 cm

120cm * (1m/100cm)  = 1.2m

Answer:

1

Step-by-step explanation:

.75-.25 is .5

1/2 is equal to .5 so .5 +.5 is 1

Answer:

0.75 - 0.25 + 1/2

convert the decimals to fractions

that's

0.75 = 3/4

0.25 = 1/4

We get

3/4 - 1/4 + 1/2

Find the common denominator which is 4

3/4 - 1/4 + 1/2 = 3 - 1 + 2 / 4

=4/4

= 1

The final answer is 1

Hope this helps

Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

Answer:

37

hope this helps :3

37 is the remainder when 69,694 is divided by 93

A division is a process of splitting a specific amount into equal parts.

We have to find the remainder when 69,694 is divided by 93

The number which is getting divided here is called the dividend.

69694 is dividend

The number which divides a given number is the divisor.

93 is the divisor.

the number which we get as a result is known as the quotient.

The divisor which does not divide a number completely produces a number, which is referred to as remainder.

69694 can be written as (69657+37)

69657 is divisible completely by 93 and the remainder is 37.

Hence, 37 is the remainder when 69,694 is divided by 93

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Answer:

Volume of water remaining in Abigail's cup = 25.12 cm³

Step-by-step explanation:

As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions radius 3 cm and height 8 cm. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup? Use 3.14 for Pi

Volume of a cone cup = πr²h/3

Radius, r = 3 cm

Height, h = 8 cm

Pi, π = 3.14

Volume of a cone cup = πr²h/3

= (3.14 * 3² * 8) / 3

= (3.14 * 9 * 8) / 3

= 226.08 / 3

= 75.36 cm³

Abigail sloshes 2/3 of the water out of her cup.

What is the volume of water remaining in Abigail's cup

Volume of water Abigail slosh = 2/3 of 75.36 cm³

= 2/3 * 75.36

= 150.72 / 3

= 50.24 cm³

Volume of water remaining in Abigail's cup = Volume of water in the cup - Volume of water Abigail slosh

= 75.36 cm³ - 50.24 cm³

= 25.12 cm³

Volume of water remaining in Abigail's cup = 25.12 cm³

Answer:

25.12

Step-by-step explanation:

I checked in khan

The cost in dollars and cents for each dog pillow is $17.95

What is the total cost of  3 giant dog pillows?

The total cost of the  3 giant dog pillows is determined as the amount Amy gave the cashier minus the change the cashier handed to Amy, in essence, the cost in dollars and cents for each dog pillow can now be computed the total cost of the  3 giant dog pillows divided by the number of dog pillows purchased

total cost for  3 giant dog pillows=total cost of amount given to cashier change received

total cost of amount given to cashier=$60

change received=$6.15

total cost for  3 giant dog pillows=$60-$6.15

total cost for  3 giant dog pillows=$53.85

cost per dog pillow=total cost for  3 giant dog pillows/number of dog pillows purchased

cost per dog pillow=$53.85/3

cost per dog pillow=$17.95

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Answer: a nn nn n nn n nn n n n n n n n n n n n n n

In August 2016, the Compounding Department had 6,000 equivalent units for the beginning work in process and 102,000 equivalent units for the units started. The total equivalent units were 108,000.


To calculate the equivalent units, we consider the work in process at the beginning and the units started during the period. The beginning work in process was 6,000 pounds at 60% processed, which gives us 6,000 x 0.60 = 3,600 equivalent units. The units started were 102,000 pounds, which are considered 100% processed, resulting in 102,000 equivalent units.

Adding the equivalent units from the beginning work in process and the units started, we get a total of 3,600 + 102,000 = 105,600 equivalent units. However, since the ending work in process was 90% processed, we need to multiply it by 0.90 to calculate the additional equivalent units. This gives us 96,000 x 0.90 = 86,400 equivalent units. Finally, we add the additional equivalent units to the total, resulting in 105,600 + 86,400 = 192,000 equivalent units for the Compounding Department in August 2016.

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The IQR would remain unaffected.

The Standard deviation  is a measure of how much the individual values in a data set differ from the mean. The formula to calculate the standard deviation is:

SD = √(∑(x-mean)2/n)

Where, x = an individual value in the data set, n = total number of values in the data set and mean = average of the data set.

In the given data set, with the electric car being removed, the total number of values in the data set would reduce from 67 to 66. Therefore, the standard deviation would be calculated using the formula with 66 in place of n.

The interquartile range (IQR) is the difference between the third quartile and the first quartile. The formula to calculate the IQR is:

IQR = (Q3-Q1)

Where, Q3 = third quartile and Q1 = first quartile.

In the given data set, with the electric car being removed, the values of both the quartiles would remain unaffected as the extreme outlier is removed from the data set and the quartiles are calculated using the values from the middle 50% of the data set. Therefore, the IQR would remain unaffected.

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Answer:

60 cm

Step-by-step explanation:

The perimeter of a polygon means adding up all the side lengths.

In this case, we need to add up 13, 12, 8, 8, and 19

Adding all of these gets us 60

In this case, the critical region will be in the right tail.

To answer this question, you need to conduct a hypothesis test to determine whether the mean amount of paint in 1-gallon cans from this manufacturer is significantly different from 1 gallon. The null hypothesis for this test is that the mean amount of paint in 1-gallon cans from this manufacturer is equal to 1 gallon, and the alternative hypothesis is that it is greater than 1 gallon.

To determine the critical region(s) for this test, you need to decide on the significance level, which is given as 0.05. This means that you will reject the null hypothesis if the test statistic falls in the critical region with a probability of less than 0.05.

In this case, since the alternative hypothesis is that the mean amount of paint in 1-gallon cans is greater than 1 gallon, the critical region will be in the right tail. This means that you will reject the null hypothesis if the test statistic falls in the right tail with a probability of less than 0.05.

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An equation of the sphere is (x - 1)^2 + (y + 3)^2 + (z - 3)^2 = 25.(x - 1)^2 + (z - 3)^2 = 16 This equation represents a circle in the xz-plane with center (1, 3) and radius 4.

(a) To find an equation of the sphere with center (1, -3, 3) and radius 5, we can use the formula for the equation of a sphere:

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2

where (h, k, l) is the center of the sphere and r is the radius.

Substituting the given values, we have:

(x - 1)^2 + (y + 3)^2 + (z - 3)^2 = 5^2

Expanding and simplifying, we get:

(x - 1)^2 + (y + 3)^2 + (z - 3)^2 = 25

So, an equation of the sphere is (x - 1)^2 + (y + 3)^2 + (z - 3)^2 = 25.

(b) To find the intersection of the sphere with the xz-plane (y = 0), we substitute y = 0 into the equation of the sphere:

(x - 1)^2 + (0 + 3)^2 + (z - 3)^2 = 25

Simplifying, we have:

(x - 1)^2 + 9 + (z - 3)^2 = 25

(x - 1)^2 + (z - 3)^2 = 16

This equation represents a circle in the xz-plane with center (1, 3) and radius 4.

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Answer:

Each pen cost 0.18 cents

Step-by-step explanation:

3.24/18=0.18

The Fundamental Counting Principle, choosing from 3 sizes of bottled water and from distilled, filtered, or spring water is 9 ways.

The Basic Counting Principle is a technique used in mathematics, more especially in probability theory and combinatorics, to determine how many combinations of options, items, or outcomes are possible. The Rule of Multiplication, the Product Rule, the Multiplication Rule, and the Basic Counting Rule are some of its alternate names.

It has a connection to the Sum Rule, often known as the Rule of Sum, which is a fundamental counting method used to calculate probabilities.

According to the Basic Counting Principle, if a decision or event has a potential result or set of options, and a different decision or event has b possible outcomes or choices, then the sum of all the unique combinations of outcomes for the two is ab.

Using the fundamental counting principle, if an event occurs in m ways and another event occurs in n ways then the total occurrence is given as (m)(n).

Given that,

m = 3 for choosing between sizes.

n = 3 for distilled, filtered, or spring water.

Thus, the total number of occurrence is given as:

T = (3) (3) = 9

Hence, the Fundamental Counting Principle, choosing from 3 sizes of bottled water and from distilled, filtered, or spring water is 9 ways.

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For the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula = v / r. The velocity of the center "O" is always 0 as it does not move linearly.

To determine the angular velocity and the velocity of the center 'O' of the gear at the given instant, you will need to follow these steps:

Step 1: Identify the relevant information.
First, gather information about the gear, such as its radius, the speed at which it is rotating, and any other relevant details. To determine the angular velocity of the gear and the velocity of its center at the instant shown, we need to know the radius of the gear and the speed of its rotation. The angular velocity of the gear can be calculated by dividing the speed of rotation by the radius of the gear. The velocity of the center of the gear can be calculated by multiplying the angular velocity by the radius of the gear.

Step 2: Calculate the angular velocity.
Angular velocity () can be calculated using the formula  = v / r, where 'v' is the linear velocity at the edge of the gear and 'r' is the radius of the gear.

Step 3: Find the linear velocity at the edge of the gear.
This can typically be given or can be determined based on the information provided.

Step 4: Calculate the angular velocity.
Plug the values of linear velocity (v) and radius (r) into the formula  = v / r to find the angular velocity.
Angular velocity = (speed of rotation) / (radius of gear)
Velocity of center = (angular velocity) x (radius of gear)

Step 5: Determine the velocity of the center 'O'
Since the center 'O' of the gear is the point around which the gear rotates, its velocity is 0, as it does not move linearly.

In summary, to find the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula  = v / r. The velocity of the center "O" is always 0 as it does not move linearly.

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The coordinates of the pre-image of F include the following: A. (-2, 4).

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative.

Furthermore, a reflection across the line y = -x would interchange (switch) the x-coordinate and y-coordinate in order to form a negative inverse of the parent function and this is given by this transformation rule:

(x, y)                                    →              (y, x)

Ordered pair F = (4, -2)      →        Ordered pair F' = (-2, 4).

In conclusion, we can reasonably infer and logically deduce that the coordinates of the pre-image of F after a reflection across the line y = -x are (-2, 4).

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Answer:

10⁰×10¹-1¹⁰ < 10⁰×10¹×1¹⁰ < 10⁰+10¹×1¹⁰ < 10⁰+10¹+1¹⁰

Step-by-step explanation:

10⁰×10¹-1¹⁰ = 9

10⁰×10¹×1¹⁰ = 10

10⁰+10¹×1¹⁰ = 11

10⁰+10¹+1¹⁰ = 12

The cumulative frequency of the numbers 6-10 is thus 2 + 0 + 1 + 1 + 0 = 4.

To determine the frequency of the numbers 6-10 in this stem-and-leaf plot, examine the second row, which has a stem of 1 and leaves of 0 0 2 3 6 6. This row displays the digits 10, 10, 12, 13, 16, and 16, which correspond to 6 students who sold between ten and nineteen lollipops.

Because 2 of these 6 pupils sold exactly six lollipops (represented by leaf 06), the frequency of the number six is two.

There are no students who sold 7 lollipops exactly.

Because one kid sold exactly eight lollipops (represented by the leaf 08), the number 8 has a frequency of one.

One student sold exactly nine lollipops (represented by the number 9) As a result, the frequency of the number 9 is 1.

Zero students sold a total of ten lollipops.

The cumulative frequency of the numbers 6-10 is thus 2 + 0 + 1 + 1 + 0 = 4.

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