PLEASE HELP!!!!!
write the slope-intercept form of the equation of the line described and graph. Through: (5,-4), perpendicular to y=5/9x -5

Answer:

h = 2s

Step-by-step explanation:

Area of square is equal to the area of triangle in this question.

the area of the square is s²

the area of the triangle is [tex]\frac{1}{2}[/tex] *h*s

s²=  [tex]\frac{1}{2}[/tex] *h*s

s = [tex]\frac{1}{2}[/tex] *h

2s = h

hope that helps

Answer:

Multiply the area of the base by the height and divide by 3.

Step-by-step explanation:

V = (1/3)Bh

where B = area of the base, and

h = height

Answer: Multiply the area of the base by the height and divide by 3.

Answer:

We khow that the volume of a pyramid is equal the product of the base and the height over 3

So he just needs to multiply them together then divide the result by 3

Answer:

The answer to your question is 1[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Data

base = 4/3

Perimeter = 4 2/15

length of the sides = ?

Process

1.- Convert the perimeter into an improper fraction

 [tex]4\frac{2}{15} = \frac{60 + 2}{15} = \frac{62}{15}[/tex]

2.- Subtract 4/3 from 62/15

    [tex]\frac{62}{15} - \frac{4}{3}[/tex]

    [tex]\frac{62}{15} - \frac{20}{15}[/tex]       Multiply 4/3 by 5

    [tex]\frac{42}{15}[/tex]

3.- Divide the result by 2 to find the length of one side

    [tex]\frac{42}{15} / \frac{2}{1}[/tex]

4.- Result

   [tex]\frac{42}{30}[/tex]

-Simplify

   [tex]\frac{7}{5}[/tex]   or 1 2/5

Answer:

N = 43.2

F = 129.6

Total books = F + N = 129.6 + 43.2 = 172.8

Please note that number of books cannot be in fraction, there is some mistake in formulating the question!

But nevertheless, the key concept here is to learn how to set up such algebraic equations.

Step-by-step explanation:

Let F denotes fiction book

Let N denotes non-fiction book

There are 3 times as many fiction books as non-fiction in a library.

Mathematically,

F = 3N          eq. 1

120 fiction books are loaned out and 24 non-fiction books

Mathematically,

F - 120 = remaining fiction books  

N - 24 =  remaining non-fiction books  

There are now twice as many fiction books as non-fiction.

Mathematically,

2(remaining fiction books) = (remaining non-fiction books)

2(F - 120) = (N - 24)         eq. 2

Substitute eq. 1 into eq. 2

2(3N - 120) = (N - 24)

Simplify the equation,

6N - 240 = N - 24

6N - N = 240 - 24

5N = 216

N = 216/5

N = 43.2

Please note that number of books cannot be in fraction, there is some mistake in formulating the question!

But nevertheless, the key concept here is to learn how to set up such algebraic equations.

So back to the problem.

F = 3N

F = 3(43.2)

F = 129.6

So the total books in the library are

Total books = fiction + non-fiction

Total books = F + N = 129.6 + 43.2 = 172.8

Answer:

F=3N

F-120 = Remaining fiction

N-24 = remaining Non fiction

F=2N

2(F-120)=N-24

2(2N-120)=N-24

4N-240 = N-24

3N=216

N=72

from Eq 1

F=3N

F=3(72)

F=216

total = F+N

total = 216 + 72

total = 288

Step-by-step explanation:

Answer:

Solution,

[tex] {(2x)}^{3} - 8 \\ [/tex]

[tex]( {2x)}^{3} - {(2)}^{3} [/tex]

Use the formula:

[tex] {a}^{3} - {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

now,

[tex](2x + 2)( {(2x)}^{2} - 2x \times 2 + {(2)}^{2} )[/tex]

[tex](2x + 2)( {4x}^{2} - 4x + 4)[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

yes it can form an isosceles triangle. when you join these lines AC will be the base and BC andAB will be two equal sides of an isosceles triangle.

Answer:

True i think

Step-by-step explanation:

tell me if you got it right. (btw switch to chrome its faster)

Answer:

[tex]\dfrac{dy}{dx}\left ( \dfrac{x^2+y^2}{2\times y}-y \right )=x[/tex]

Step-by-step explanation:

Given that

[tex]x^2+y^2=2cy----(1)[/tex]

Now by differentiating the above equation with respect to x

[tex]2\times x+2\times y\times \dfrac{dy}{dx}=2\times c\times \dfrac{dy}{dx}[/tex]

[tex]x+ y\times \dfrac{dy}{dx}= c\times \dfrac{dy}{dx}-----(2)[/tex]

Form the above equation (1)

[tex]c=\dfrac{x^2+y^2}{2\times y}[/tex]

Putting the value of c in the equation (2)

[tex]x+ y\times \dfrac{dy}{dx}= \dfrac{x^2+y^2}{2\times y}\times \dfrac{dy}{dx}\\\dfrac{dy}{dx}\left ( \dfrac{x^2+y^2}{2\times y}-y \right )=x[/tex]

Thus the differential equation of the given curve will be

[tex]\dfrac{dy}{dx}\left ( \dfrac{x^2+y^2}{2\times y}-y \right )=x[/tex]

Curve for different value of c :

x² +y² = 2 c y

The above equation is an equation of a circle.That circle is having center on the y-axis.

Answer:

3

Step-by-step explanation:

6(2x-3)=-(x-9)+4x (Distributive property)

12x-18=-x+9+4x

12x-4x+x=9+18 (Collecting like terms)

9x=27 (Division)

x=3

Hope I am correct :)

Answer:

Option D is the correct option.

Step-by-step explanation:

6 ( 2x - 3 ) = - ( X - 9 ) + 4x

Distribute 6 through the parantheses

12x - 18 = - ( X - 9) + 4x

When there is a (-) in front of an expression in parantheses, change the sign of each term in the expression

12x - 18 = -x + 9 + 4x

Collect like terms

12x - 18 = 3x + 9

Move variable to Left hand side and change its sign

12x - 3x - 18 = 9

Move constant to Right hand side and change its sign

12x - 3x = 9 + 18

collect like term

9x = 9 + 18

Add the numbers

9x = 27

Divide both sides of the equation by 9

9x /9 = 27/ 9

Calculate

X = 3

Hope this helps....

Good luck on your assignment...

Answer:

$2.3

Step-by-step explanation:

6oranges=2.76$

5oranges=?

5×2.76/6.

=$2.3

Answer:

Step-by-step explanation:

Given,

[tex] {( \frac{5}{2} )}^{x} + {( \frac{5}{2} )}^{x + 3} [/tex]

[tex] = {( \frac{5}{2}) }^{x} + {( \frac{5}{2}) }^{x} \times {( \frac{5}{2} )}^{3} [/tex]

[tex] = ( \frac{5}{2} ) ^{x} (1 + {( \frac{5}{2} )}^{3} [/tex]

[tex] = {( \frac{5}{2} )}^{x} (1 + \frac{125}{8} )[/tex]

[tex] = {( \frac{5}{2} )}^{x} ( \frac{1 \times 8 + 125}{8} )[/tex]

[tex] = {( \frac{5}{2}) }^{x} ( \frac{8 + 125}{8} )[/tex]

[tex] {( \frac{5}{2} )}^{x} ( \frac{133}{8} )[/tex]

Comparing with A • [tex] {( \frac{5}{2}) }^{x} [/tex]

A = [tex] \frac{133}{8} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

7.5

Step-by-step explanation:

given:

3/4 = x/10    (multiply both sides by 10)

(3/4)(10) = x

x = 30/4

x = 7.5

The value of x is 7.5

Given:

The proportion 3/4 = x/10

3/4 = x/10

30 = 4x

30/4 = x

7.5 = x

Therefore, the final answer is 7.5.

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Answer:

x=80

Step-by-step explanation:

Answer:

4x-3

Step-by-step explanation:

9+4x-12

9-12 = -3

4x-3

Answer:

4x - 3

Step-by-step explanation:

You can first take out 9 and solve for 4 (x - 3) which is 4x - 12. Now, you can put 9 back into the equation so it will be 9 + 4x - 12. We can simplify a bit further which will give us 4x - 3.

Answer:

59.65

Step-by-step explanation:

2 decimal places is to the hundredths place.

Answer: 59.65

Step-by-step explanation: When rounding a number to a given place, look at the next place y o the right. If that digit is 5 or more, "round up" by adding one to the given place.

If the number to the right is 4 or less, leave the given place "as is"

In this example, the hundredths place is 4, the place to the right has an 8. So you round up the 4 to a 5. You end up with 59.65

Answer:

w+3=14

Step-by-step explanation:

The length is 3 more than the width, and more can be expressed as a plus sign, so w+3=14.

x = 144 degrees

We know there are 10 sides on this polygon, and we know the sum of interior angles in a regular polygon is represented as 180*(s-2) where s is the number of sides.

With this, we know that the sum of interior angles on a 10-sided regular polygon is 180*(10-2)=1440.

We also know that the measure of angle x = the measure of any other interior angle in the 10-sided polygon.

Using substitution, we know that 10x = 1440 degrees so x = 144 degrees.

The value of x for the 10-sided polygon is x = 144 degrees.

A polygon is a two-dimensional, closed shape that is flat or plane and is bounded by straight sides. Its sides are not curved. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge.

We know there are 10 sides on this polygon, and we know the sum of interior angles in a regular polygon is represented as 180*(s-2) where s is the number of sides.

With this, we know that the sum of interior angles on a 10-sided regular polygon is 180 x (10-2)=1440.

We also know that the measure of angle x = the measure of any other interior angle in the 10-sided polygon.

Using substitution, we know that 10x = 1440 degrees so x = 144 degrees.

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Answer:

B

Step-by-step explanation:

The y-intercept (or initial value) is 3 which means the coefficient of the exponential term is 3. The only answer choice that follows this is choice B.

Answer:

4a LBS

Step-by-step explanation: If you make the unknown x, then your expression will be 0.25x=a, or 1/4x=a. If you multiply both sides by 4, then you will find that the expression is x=4a. Therefore, your answer is 4a LBS. Good Luck!

The value of the number is 4a

Data;

This is the ratio of a number to the entire number and multiplied by 100.

[tex]25 \% = \frac{a}{x}[/tex]

We can further elaborate this

[tex]\frac{25}{100} = \frac{a}{x} \\ \frac{1}{4} = \frac{a}{x}\\ x = 4a[/tex]

The value of the number is 4a

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Answer:

djal3924+3820&282039392#283830818385

Answer:

20%

Step-by-step explanation:

25%+(35%)+(20%)=80%

100-80=20%

Answer:

31.25 metres at t=1.5 seconds.

Step-by-step explanation:

The height, h metres, of a flare as a function of the time, t seconds, since the flare was fired from a boat, can be modeled by the function

[tex]h=-5t^2+15t+20[/tex]

We need to find the maximum height of the flare.

In the given quadratic function, the leading coefficient is negative it means the function represents the downward parabola.

Vertex of a downward parabola is the point of maxima.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

[tex]Vertex=\left(-\dfrac{b}{2a}, f(-\dfrac{b}{2a})\right)[/tex]

In the given function, a=-5, b=15, c=20. So,

[tex]-\dfrac{b}{2a}=-\dfrac{15}{2(-5)}=\dfrac{15}{10}=1.5[/tex]

Put x=1.5 in the given function.

[tex]h=-5(1.5)^2+15(1.5)+20[/tex]

[tex]h=31.25[/tex]

Therefore, the maximum height of the flare is 31.25 metres and t=1.5 seconds.

Answer:

Cylinders have two circular bases

Cones have one circular base

The lateral area of a cylinder is related to circumference of the circular bases.

Step-by-step explanation:

In Determining the statements that characterize cylinders and cones. All that apply in this context are :

1) Cylinders have two circular bases

2) Cones have one circular base

3) The lateral area of a cylinder is related to circumference of the circular bases.

Furthermore, in a general context, A cylinder has traditionally been or comprises of a three-dimensional solid, one of the most basic of curvilinear geometric shapes or curves. It is the idealized version of a solid physical tin can which processed lids on top and bottom. While a cone is a three-dimensional geometric shape or a set of line segment that taper smoothly from a flat base (though not necessarily, but mostly circular) to a point called the vertex.

Answer:

a b and e

Step-by-step explanation:

Answer:

Variance for a total of 150 games is 20.67

Step-by-step explanation:

If x follows binomial distribution with parameters n and p then the probability distribution of  [tex]\frac{x-np}{\sqrt{npq}}[/tex] tends to N (0.1)

As [tex]n\rightarrow \infty[/tex] where E(x)= np,  var (x) = npq

[tex]\therefore[/tex] var (x) = 150[tex]\times[/tex]0.165 [tex]\times[/tex] (1-0.165)      

(since, n= 150, p=0.165,

q = 1-p = 1-0.165)

= 20.66625

var (x) = 20.67

[tex]\therefore\\[/tex] variance for a total of 150 games is 20.67

Given to us:

Mark uses the normal approximation of the binomial distribution to model the number of home runs. Therefore,

Probability, p=0.165;

Number of samples, n=150;

Chances of failure, q = 1-p = 1-0.165 = 0.835;

According to binomial distribution,

Variance, var(x) = npq;

var (x) = npq

           = 150 x 0.165 x 0.835

           =  20.66625

Hence, the variance for a total of 150 games is  20.66625.

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Answer:

4

Step-by-step explanation:

There are 5 points. So there are 4 segments. The segments are the line between two points.

Answer:

4021 cm^3

Step-by-step explanation:

The volume of a cylinder can be found using the following formula.

[tex]V=\pi r^2h[/tex]

where r is the radius and h is the height.

We know the cylinder has a height of 20 centimeters and a diameter of 8 centimeters.

h= 20 cm

d= 8 cm

Substitute these values into the formula.

[tex]V=\pi (8 cm^2) * 20 cm[/tex]

First, evaluate the exponent.

8 cm^2= 8 cm * 8 cm= 64 cm

[tex]V=\pi * 64 cm^2*20 cm[/tex]

Multiply 64 cm^2 and 20 cm

[tex]V=\pi *1280 cm^3[/tex]

Multiply 1280 cm^3 and pi

[tex]V=4021.2386 cm^3[/tex]

Round to the nearest cubic centimeter. The 2 in the tenth place tells us to leave the number as is.

[tex]V= 4,021 cm^3[/tex]

The volume is about 4,021 centimeters^3.

The approximate volume of the tube is 1005 cm³.

A cylinder is a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

Given that a cardboard cylinder has a diameter of 8 centimeters and a height of 20 centimeters, we need to find the volume of the cylinder,

The volume of the cylinder = π × radius² × height

Radius = diameter / 2 = 8/2 = 4 cm

Therefore,

Volume = π × radius² × height

= 3.14 × 4² × 20

= 3.14 × 16 × 20

= 1004.8 ≈ 1005

Hence, the approximate volume of the tube is 1005 cm³.

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Answer:

She found 19 pennies and 21 dimes

Step-by-step explanation:

Let the number of dimes present be d and the number of pennies present be p

From the question, the total of both is 40

Mathematically;

p + d = 40 •••••••(i)

While a penny worths 1 cent, a dime is worth 10 cents

Total penny amount would be 1 * p = p cents

While total dime amount would be 10 * d = 10d cents

Before we add both to give the total amount, let’s convert this total amount to cents and that would be 2.29 * 100 = 229 cents

So mathematically;

p + 10d = 229 •••••••(ii)

So let’s solve both equations simultaneously

From i) p = 40 - d

let’s put this into equation ii

40 - d + 10d = 229

40 + 9d = 229

9d = 229-40

9d = 189

d = 189/9

d = 21

Recall;

P = 40-d

P = 40-21

P = 19

Answer:

site A would have 3200 total memebers and site B would have 2600 by month 6. A gained more

Step-by-step explanation:

a: month 5 is 1600 and month 6 is 3200 so the difference is 1600 between 5 and 6

b: month 5 2100 and month 6 is 2600. theres a 500 difference

Complete Question:

The number of text messages that Reza sent each day so far in this billing cycle is shown on the dot plot.

Which statement must be true according to the dot plot?

A) The data is symmetric and shows that he typically sent about 6 to 8 text messages per day.

B) The data is symmetric and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.

C) The data is skewed and shows that he typically sent about 6 to 8 text messages per day.

D) The data is skewed and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts

*Check attachment for the dot plot referred to

Answer:

A. The data is symmetric and shows that he typically sent about 6 to 8 text messages per day

Step-by-step explanation:

Taking a look at the dot plot given in the attachment below, we can observe that most of the data set are concentrated in the middle of the dot plot than both ends of the dot plot. With this, we can infer that the distribution of the data is symmetric.

The dot plot also tells us that, 6 and 8 text messages have more frequency than any other data set on the dot plot. This also suggests that Reza usually sends 6 to 8 messages in a day.

Therefore, the statement that is true about the dot plot is:

"A. The data is symmetric and shows that he typically sent about 6 to 8 text messages per day"

Answer:

A

Step-by-step explanation:

Answer:

                x₁ = -3√2 ,   x₂ = 3√2  

Step-by-step explanation:

x² = 18     ⇔    x = √18    or   x= -√18

√18 = √[9•2] = √9•√2 = 3•√2 = 3√2

Answer:

x₁ = -3√2

x₂ = 3√2

Step-by-step explanation:

x² = 18

x ± 3√2

x = -3√2

x = 3√2

Hope this helped! :)