Find the product:
3 1/2×10 2/9

Answer:

-3

Step-by-step explanation:

Slope = change of x over change of y

6 over 2

3

line goes down so slope is negative

-3

The slope of the line passing through the given points (-1, 4) and (1, -2) is -3.

Given the following points:

To find the slope of the line passing through the given points (-1, 4) and (1, -2):

The slope of a line is simply the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope. \;m = \frac{-2 \;- \;4}{1\; - \;[-1]}\\\\Slope. \;m = \frac{-6}{2}[/tex]

Slope, m = -3

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Answer:

= 80πcm²

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

=> Area of base = π(6²) = 36π cm²

=> Area of the hole = πr² = π(4²) = 16πcm²

As we know that, the surface area of the piece of wood has to be painted at base:

= Base area - area of hole

= 36π cm² - 16πcm²  

= 20πcm²

For the curved surface area can be determined by the following formula:

Area = πrl where l is the slant height

Applying Pythagoras theorem, we have:

[tex]l^{2} = r^{2} + h^{2}[/tex]

<=> [tex]l^{2} = 6^{2} + 8^{2}[/tex]

<=> [tex]l^{2} =100[/tex]

<=> l =10

=> the curved surface area is: π*6*10 =60πcm²

Hence the total surface area to be painted is

= the curved surface area + he surface area of the piece of wood has to be painted at base

=  60πcm² +20πcm²

= 80πcm²

Hope it will find you well.

To find the surface area to be painted, calculate the total surface area of the cone and subtract the area of the cylindrical hole.

To find the surface area to be painted, we need to calculate the total surface area of the cone and then subtract the area of the cylindrical hole.

The total surface area of a cone is given by the formula A = πr(r + l), where r is the radius of the base and l is the slant height.

In this case, the radius of the cone is the same as the radius of the base of the hole, which is 4 cm. We need to find the slant height of the cone, l.

By applying the Pythagorean theorem to the right triangle formed by the height of the cone, the slant height, and the radius of the cone, we can calculate the slant height as l = sqrt( h^2 + 4^2 ), where h is the height of the cone.

Since the height of the cone is not given, we will not be able to find the exact value for the surface area to be painted. However, we can provide the general formula based on the given information:

Surface area to be painted = (π * r1 * (r1 + sqrt( h^2 + r1^2 ))) - (2 * π * r2 * h),

where r1 is the radius of the base of the hole and r2 is the smaller radius of the hole.

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Answer:

$5,040

Step-by-step explanation:

Answer:

y = 2x - 6

Step-by-step explanation:

6x = y +18

2x - y = 6

-2x. -2x

-1(-y)= -1 (-2x +6)

y = 2x -6

Answer:

y=2x-6

Step-by-step explanation:

Answer:

(x + 4y) (3x + 2z)

Step-by-step explanation:

First, write your problem as a mathematical expression:

3x^2 + 12xy + 2xz + 8yz

Factor out the greatest common factor from each group:

(3x^2 + 12xy) + 2xz + 8yz

3x (x + 4y) + 2z (x + 4y)

Factor the polynomial by factoring out the greatest common factor (GCF), x + 47

(x + 4y) (3x + 2z)

Step-by-step explanation:

Answer:

x=8, x=-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume  = 400 cubic inches

Area of base = length*breadth

length * breadth * height = 400

Area of the base * height = 400

Area of the base * 5 = 400

Area of the base = 400/5

Area of the base = 80 square inches

Answer:

Step-by-step explanation:

First of all we all should know about a geometric progression to solve this question.

A geometric progression is a series in which there is a first term a and all the next terms are calculated by multiplying the previous term by a common number r.

where a is known as first term and

r is known as common ratio.

In the question we are given a as 20 and we have to find out 2 terms after 20 and 4th term is given as 2500.

Formula for [tex]n^{th}[/tex] term in a geometric progression is:

[tex]a_{n} = a\times r^{n-1}[/tex]

Here [tex]a_{4}[/tex] = 2500

As per formula of [tex]n^{th}[/tex] term:

[tex]a\times r^{3} = 2500\\\Rightarrow 20 \times r^{3} =2500\\\Rightarrow r^{3} = 125\\\Rightarrow r = 5[/tex]

Now, 2nd term:

[tex]a_{2} = a \times r\\\Rightarrow a_{2} = 20 \times 5\\\Rightarrow a_{2} = 100[/tex]

Now, 3rd term:

[tex]a_{3} = a \times r^{2} \\\Rightarrow a_{3} = 20 \times 5^{2}\\\Rightarrow a_{3} = 500[/tex]

So, the two geometric means between 20 and 2500 are 100 and 500.

Answer:

The most correct option is;

(B) 958.2 ft.²

Step-by-step explanation:

From the question, the dimension of each square = 3 ft.²

Therefore, the length of the sides of the square = √3 ft.

Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;

The dimension of the diameter of the small semicircle = 10·√3

Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3

Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²

Similarly;

The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3

∴ The dimension of the diameter of the large semicircle = 22·√3

Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3

Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²

Area of rectangle = 11·√3 × 17·√3 = 561

Area, A of large semicircle cutting into the rectangle is found as follows;

[tex]A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2[/tex]

Where:

[tex]\theta = 2\times tan^{-1}( \frac{The \, number \, of \, vertical \, squrare \, sides \ cut \, by \ the \ large \, semicircle}{The \, number \, of \, horizontal \, squrare \, sides \ cut \, by \ the \ large \, semicircle} )[/tex]

[tex]\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214[/tex]

Hence;

[tex]A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2[/tex]

Therefore; t

The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²

Therefor, the most correct option is (B) 958.2 ft.².

Of students in the sample, 90/200 fraction of the students were male.

Number of male students =90

Number of female students =110

So, total students = 90+110 =200

A fraction is a rational number that is not a whole number.

Fraction of students who were male = male students/ total students

Fraction of students who were male =90/200

So, 90/200 fraction of the students were male.

Hence, 90/200 fraction of the students were male.

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The volume of the traffic pylon is 7.26 cubic feet.

To find the volume of the cone-shaped pylon, we'll use the formula for the volume of a cone, which is [tex]\( \frac{1}{3} \pi r^2 h \),[/tex]  where ( r ) is the radius of the base and ( h ) is the height.

Given that the height ( h ) of the pylon is 2.4 feet and the radius ( r ) is 1.7 feet, we can plug these values into the formula:

[tex]\[\text{Volume} = \frac{1}{3} \pi \times (1.7)^2 \times 2.4\][/tex]

Let's calculate this:

[tex]\[\text{Volume} \approx \frac{1}{3} \times 3.14159 \times (1.7)^2 \times 2.4\][/tex]

[tex]\[\text{Volume} \approx \frac{1}{3} \times 3.14159 \times 2.89 \times 2.4\][/tex]

[tex]\[\text{Volume} \approx \frac{1}{3} \times 3.14159 \times 6.936\][/tex]

[tex]\[\text{Volume} \approx \frac{1}{3} \times 21.78\][/tex]

[tex]\[\text{Volume} \approx 7.26 \text{ cubic feet}\][/tex]

So, the volume of the cone-shaped pylon is approximately 7.26 cubic feet.

To graph y=4x-9, plot the y-intercept at (0,-9), then for each increase in x, y increases by 4. Draw a line through these points to describe the equation.

To graph the equation y=4x-9, we need to identify the slope and the y-intercept. In this case the slope is 4, which means for each increase in x by 1, y increases by 4. The y-intercept is -9, which is the point where the line crosses the y-axis.

Start by plotting the y-intercept at (0,-9) on the graph. Then, for each unit increase in x, move up 4 units on the y-axis from the previous point. Drawing a line through these points will visualize the equation y=4x-9.

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Every second, the number of harmful bacteria remaining in the body decays by a factor of approximately .

To determine the rate of change in the number of harmful bacteria remaining in the body every second, we need to convert the time in the given function from minutes to seconds. The function provided is

⇒ [tex]H_{minute}[/tex](t) = 500,000,000 · [tex](0.2)^t[/tex].

A minute has 60 seconds, so we need to express the decay factor for a second. By letting t = [tex]t_{seconds}[/tex] ÷ 60, we can rewrite the function in terms of seconds:

⇒ [tex]H_{second}[/tex](t) = 500,000,000 · [tex](0.2)^\frac{t}{60}[/tex].

For every passing second, the decay factor is [tex](0.2)^\frac{1}{60}[/tex]. Using a calculator, we find:

⇒ [tex](0.2)^\frac{1}{60}[/tex] ≈ 0.98855,

rounded to two decimal places.

Therefore, every second, the number of harmful bacteria remaining in the body decays by a factor of approximately 0.99.

Complete question:

After a certain medicine is ingested, the number of harmful bacteria remaining in the body declines rapidly.

The relationship between the elapsed time t, in minutes, since the medicine is ingested, and the number of harmful bacteria remaining in the body, [tex]H_{minute}[/tex](t), is modeled by the following function:

[tex]H_{minute}[/tex](t) = 500,000,000 · [tex](0.2)^t[/tex]

Complete the following sentence about the rate of change in the number of harmful bacteria remaining in the body in seconds.

Round your answer to two decimal places.

Every second, the number of harmful bacteria remaining in the body decays by a factor of            .

Answer:

Step-by-step explanation: the awnser on edge is C the solution is for combinations, but the situation calls for permutations. Hope this helped :)

The error that is made in the work shown below is C. The solution is for combinations, but the situation calls for permutations.

It should be noted that permutations simply mean the ways that the objects from a set can be selected.

In this case, the error that is made in the work shown below is that the solution is for combinations, but the situation calls for permutations.

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Answer:

She need 7 bags to cover the garden

Step-by-step explanation:

Diameter of circular garden = 16 feet

Radius of circular garden =[tex]\frac{16}{2} = 8 feet[/tex]

Area of circular garden =[tex]\pi r^2 = \frac{22}{7} \times 8^2 =200.96ft^2[/tex]

30 sq.feet covered by no. of bags = 1

200.96 sq.feet covered by no. of bags = [tex]\frac{200.96}{30}=6.69[/tex]

Hence She need 7 bags to cover the garden

Jane will need 7 bags to cover her garden.

First, we need to find the area of Jane's garden. The formula for the area of a circle is A = πr², where r is the radius.

Next, we determine how many bags of fertilizer are needed:

Since Jane can't purchase a fraction of a bag, she will need to round up to the nearest whole number. Therefore, Jane will need 7 bags of fertilizer to cover her garden.

D.

it's D the answer is d

Answer:

Option 1

Step-by-step explanation:

The points where the two functions intersect are the solutions.

Answer:

Step-by-step explanation:

[tex]\frac{1}{4}b+6=16[/tex]

Subtract 6 from both sides,

[tex]\frac{1}{4}b+6-6=16-6\\\\\frac{1}{4}b=10\\\\b=10*4\\b=40[/tex]

Answer:

40 beads

Step-by-step explanation:

We want to find how many beads, b are being used

1/4b+6=16

To do this, we have to solve for b, by getting b by itself.

First, move all the constants to the same side. Subtract 6 from both sides, since it is being added to 1/4b.

1/4b+6-6=16-6

1/4b=10

Next, divide both sides by 1/4, or multiply both sides by the reciprocal of 1/4.

To find the reciprocal, flip the numerator (top number) and denominator(bottom number)

1/4–> 4/1

4/1*1/4b=10*4/1

The 1/4 will cancel, leaving us with:

b=10*4/1

b=40

A member customer need to pay for the sweater during the sale if the customer paid the stores credit card is $ 15.30.

Credit card is defined as a kind of credit product offered by banks that enables users to take out loans up to a pre-approved credit limit. Earn benefits like cashback or mileage points. security from credit card theft. Free credit score information. Absence of foreign transaction costs increased capacity to spend.

Costumer is defined as a person or organization that acquires goods or services from another corporation. Positive customer experiences are extremely important for brand awareness because they frequently result in word-of-mouth promotion.

Given the market price = $24

The percent initial discount = 25%

The percent final discount = 15%

The customer paid the stores credit card

= 24 x 0.75 = 18

= 18 x 0.85 = 15.3

Thus, a member customer need to pay for the sweater during the sale if the customer paid the stores credit card is $ 15.30.

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Answer:

The answer is 45,000

Step-by-step explanation:

I hope this helps

Answer:

The answer is 45,000

Step-by-step explanation:

Answer:

G, the second option

Step-by-step explanation:

A triangle's degrees all adds up to 180.

45 + 60= 105 degrees

180-105= 75 degrees

that in which makes z=75 degrees.

Since z is sharing a straight angle, which is 180 degrees

180-75= 105 degrees.

Therefore, w=105 degrees

next time when you are asking a question, be sure to crop the screen shot because the screen contains some private information that may be used against you! :)

Answer:

10

Step-by-step explanation:

All you have to do is count the number of answers imputed. Simple as that. If its a dot plot then just count the number of dots or x's

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3[/tex]

[tex]V = \frac{4}{3} \pi (\frac{1}{2} )^3[/tex]

[tex]V=\frac{4}{3}\pi (\frac{1}{8})[/tex]

[tex]V= 0.5233..[/tex]

So, the volume of the sphere would be 0.523.

Answer:

3/5 of 1 page in 45  min

Step-by-step explanation:

Answer:

The missing height is 5 units

Step-by-step explanation:

Mathematically, the area of a parallelogram can be found using the formula below;

A = Base× Height

From the parallelogram diagram, we can identify that the base has a length of 7 units, a height of h units and an area of 35 square units

Substituting these values in the equation above, we have

35 = 7 × h

h = 35/7

h = 5 units

Answer:

5 real

Step-by-step explanation:

Answer:

9/50 or 0.18

Step-by-step explanation:

If you divide both 9/10 and 5 by 5, you get 9/50 of a mile in 1 minute. Hope this helps!

Answer:

[tex]\frac{9}{50}[/tex] miles per minute.

Step-by-step explanation:

To solve this, you will need to divide the total amount run by 5 to find the amount of miles run per minute.

This can be done by dividing by 5 or multiplying by 1/5 to get:

[tex]\frac{9}{10} *\frac{1}{5} = \frac{9}{50}[/tex] miles in 1 minute.

Answer:

576

Step-by-step explanation:

If its helpful please mark me brainiest :>

Thanks ;p

Answer:

576

Step-by-step explanation:

12x6 = 72

72x8=576

576

Answer: 40

Step-by-step explanation: When you're asked to solve for x in an equation, what you're really being asked to do is get x by itself on one side of the equation.

In this problem since 10 is being added to x, in order to get x by itself, we must subtract 10 from the left side of the equation and when we subtract 10 from the left side of the equation, remember that we must also subtract 10 from the right side of the equation.

So on the left, 10 - 10 cancels out and

on the right, 50 - 10 simplifies to 40.

So x = 40.

Answer:

x = 40

Step-by-step explanation:

To solve for x, we must get it by itself. To do this, we have to subtract 10 from the left and right side of the equation.

Equation: x + 10 - (10) = 50 - (10)

This will cancel out the 10 on the left side (as 10 - 10 = 0) of the equation and leave you with the answer, x = 40.

Answer:

5.36

Step-by-step explanation:

no no don't touch me there this is my no no square

Final answer:

To find the solution, add 91, 129, and 16 to get a sum of 236. Then divide this sum by 44 to get approximately 5.364.

Explanation:

To solve the given problem, we need to perform two steps: first, add the numbers together; second, divide the sum by 44.

Add 91, 129, and 16 together.

Divide the sum by 44.

We start by adding the numbers:

91 + 129 + 16 = 236

Next, we divide the sum by 44:

236 ÷ 44 = 5.363636...

The division yields a repeated decimal which we can round to a desired decimal place if necessary. In this context, we'll keep it as is or round it to the nearest thousandth, which would be approximately 5.364.

Answer:

105

Step-by-step explanation:

the middle angle is 75 degrees

co interior angles add up to 180 so 75 +105 = 180

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Answer:

c

Step-by-step explanation:

you start with $45 then for each number of days you pay $3