What is the answer to this?

Answer:

a=3,b=5

Step-by-step explanation:

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

so as you got it:

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

Answer:

B.) 10 i think

Step-by-step explanation:

Hey there! :)

Answer:

C. x = 6.

Step-by-step explanation:

Given:

4(8 - x) = 8

Solve for x. Distribute:

32 - 4x = 8

Subtract 32 from both sides:

-4x = -24

Divide both sides by -4:

-4x/(-4) = -24/(-4)

x = 6.

Answer:

44664.59503

Step-by-step explanation:

Hello,

In this question, you're asked to find the radical of a number. However in mathematics, the radical of a number simply means "√" and not directly square root of that number, its could be the cube root "³√" or even the fourth root "⁴√".

In this case, we're asked to find the 3 radical of p/q which means 3√(p/q)

P = 2.78×10¹¹

Q = 3.12×10⁻³

p / q = 2.78×10¹¹ / 3.12×10⁻³

p / q = 8.91×10¹³

The 3 radical = 3√(8.91×10¹³)

3√(p/q) = 44664.59503

Answer:

121

Step-by-step explanation:

Angles on a line add up to 180.

180 - 115 = 65

Angles in a circle add up to 360 degrees.

360 - 304 = 56

Angles in a triangle add up to 180 degrees.

180 - 56 - 65 = 59

Angles on a line add up to 180 degrees.

180 - 59 = 121

Following are the calculation to the angle:

Given:

Please find the given question.

To find:

angle=?

Solution:

The sum of all the angles on a line is 180.

[tex]\to 180^{\circ} - 115^{\circ} = 65^{\circ}[/tex]

A circle's angles sum up to [tex]360^{\circ}[/tex]

[tex]\to 360^{\circ} - 304^{\circ} = 56^{\circ}[/tex]

The triangle's angles sum up to [tex]180^{\circ}[/tex].

[tex]\to 180^{\circ} - 56^{\circ} - 65^{\circ}= 59^{\circ}[/tex]

The line's angles sum up to [tex]180^{\circ}[/tex].

[tex]\to 180^{\circ} - 59^{\circ} = 121^{\circ}[/tex]

Therefore, the final answer is "[tex]121^{\circ}[/tex].."

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Answer:

  y = 2x +10

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:

  m = -1/(-1/2) = 2

Using the above point-slope form equation, we can write the equation of line t as ...

  y -4 = 2(x -(-3))

  y = 2x +6 +4 . . . . add 4, simplify

  y = 2x +10 . . . . equation of line t

Answer:

Angles 1 and 2 are supplementary.

Step-by-step explanation:

<BAC is equal to <FGE, because BC and DE are parallel. So <DGF would be 180° minus angle 1. So, they are supplementary.

Mark me brainliest if possible. Thank you.

Answer:

 90°

Step-by-step explanation:

∆GFD is an isosceles right triangle, so angle FDG is 45°. Segment DF bisects angle EDG, so that angle is 90°.

Arc AG is the other half of the semicircle AGE that includes 90° arc GE.

So, arc AG is 90°.

__

Comment on the problem

"a" and "b" are irrelevant to arc AG. They come into play for arc CE.

Answer:

17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Side T = t

Side V = 14

Side U = 11

The value of t can be obtained by using cosine rule as show below:

t² = u² + v² – 2uv cosT

t² = 11² + 14² – 2×11×14 cos 87°

t² = 121 + 196 – 308 × Cos 87°

t² = 300.88

Take the square root of both side

t = √300.88

t = 17.3

Therefore, the value of t is 17.3

Answer:25

Step-by-step explanation:

Get monkeyd

Answer:

Answer is option a) 4:5

Step-by-step explanation:

[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

(0, -2)

Step-by-step explanation:

Step 1: Write equation in slope-intercept form

-3y = 6 - 2x

y = -2 - 2/3x

Step 2: Find y-int

y = -2 -2/3(0)

y = -2

(0, -2)

Answer:

0

Step-by-step explanation:

If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 -  3 + 1 = 0.

Answer:

133.97 cm³

Step-by-step explanation:

The volume of a cone is given by:

[tex]V = \frac13 \pi r^2h[/tex]

r is half the diameter, so 4 cm

h is 8 cm

So:

V= 1/3 * 3.14 * 16 * 8 ≈ 133.97 cm³

Answer:

-3-7

Step-by-step explanation:

-3-7=10

Answer:

-3 - 7.

Step-by-step explanation:

-3 - 7 = -10.

Answer:

work is shown and pictured

[tex]

5-6x=8x+17 \\

-14x=12\implies x=-\frac{6}{7}

[/tex]

Hope this helps.

Answer: -6/7

Step-by-step explanation: 5 - 6x = 8x + 17

                                             5 + - 6x = 8x + 17

                                            -6x + 5 = 8x + 17

                                            -6x + 5 - 8x = 8x + 17 - 8x

                                            -14x + 5 = 17

                                            -14x + 5 - 5 = 17 - 5

                                           -14x = 12

                                            -14x/-14 = 12/-14

                                             x = -6/7

Answer:

11, 17, and 28.

Step-by-step explanation:

[tex]x, y, z\\[/tex]

Lowest number is [tex]x[/tex]

Median is [tex]y[/tex]

Highest number is [tex]z[/tex]

[tex]x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28[/tex]

The three numbers are 11 , 17 and 24

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = a

Let the second number be = b

Let the third number be = c

And , the lowest number is 11

So , the value of a = 11

The median is 17

So , the value of the middle number b = 17

Now , the range of the three numbers = 13

So , the maximum value - minimum value = 13

Substituting the values in the equation for range , we get

c - a = 13

c - 11 = 13

Adding 11 on both sides , we get

c = 11 + 13

c = 24

Therefore , the value of a = 11 , b = 17 and c = 24

Hence , The three numbers are 11 , 17 and 24

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Answer:

independent events

Step-by-step explanation:

dependent is when the previous event affects the outcome of the next event.

Ex: When I draw a card without replacement at first I will have 52 cards. Once I draw the card, I will have only 51 cards to choose from.

Independent event is when the outcome is not related.

Example like the problem given to you

Answer:

About 8595 students

Step-by-step explanation:

If approximately 9/20 of the students are male, multiplying this by the total number of students enrolled will give a good approximation of the total number of enrolled males. 9/20 * 19100=8595. Hope this helps!

Answer:

8595

Step-by-step explanation:

9/11 is the ratio of male to female

9/20 of students are male and 11/20 are female

If total number is 19100,

then male= 19100*9/20= 8595

Answer:

324.5m^2

Step-by-step explanation:

To find the area of the composite shape, divide the shape into 3 known shapes and calculate their areas.

SO, here we divide the shape into 2 triangles and 1 rectangle.

Area of rectangle = 15 x 8 = 120m^2

Area of triangle 1 = 1/2 x 7 x 15 = 52.5m^2

Area of triangle 2 = 1/2 x 9 x 8 = 4 x 9 = 32cm^2

Now, the sum of these areas = area of composite shape = 32 + 52.5 + 120 = 204.5m^2

Hope this helps.

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Good Luck

Answer: 52.5 + 36 + 120 = 208.5

208.5 m is your answer.

Step-by-step explanation: To come to this, first you have to break the composite shape into the three different shapes that you see. 2 rectangles and a triangle. From there, you simply solve the area for each individual shape and then add them together as shown in the answer.

1 Answer:

D

2 Answer:

B

Step-by-step explanation:

all we should do here is multiply both sides by -1 and switch the sign ≤ since we multiplied by a negative number

x is equal or greater than 3 so 3 is included

3 will be represented by a clored dot

so the graph is D

again multiply by -1 to get rid of the - signs and switch ≤ by ≥ since it's a negative number

x is equal or greater than -3  so -3 is included

the graph is b since there is a dot in -3

Answer:

T = $1.50C + $1.00L

Step-by-step explanation:

Chocolate chip cookies - $1.50/dozen

C: # of dozens of chocolate chip cookies

↓

$1.50C

Lemon Frosteds - $1.00/dozen

L: # of dozens of lemon frosteds

↓

$1.00L

T(total) = $1.50C + $1.00L

Hope that helps.

Answer:

Step-by-step explanation:

8c2×6c2=((8×7)/2)×((6×5)/2)=28×15=420

Answer:

0.7

if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root

Hope this helps

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

0.49 = 49/100

√(49/100)

√49/√100

7/10

= 0.7

Answer:

[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]

So we can say that

[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]

and we can notice that

[tex]a^2+b^2=(a+b)^2-2ab[/tex] so

[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]

it comes

[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]

multiply by 3

[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]

Answer:

588 units^2

Step-by-step explanation:

To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.

This is 3.5 multiplied by their original measures:

Length = 3.5 x 8 = 28

Width = 3.5 x 6 = 21

Now, area =. LxW = 588 units^2

Hope this helps

Answer:

588 units squared

Step-by-step explanation:

We have a rectangle that has dimensions 8 units by 6 units.

From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:

new length = 8 * 3.5 = 28 units

new width = 6 * 3.5 = 21 units

Given this, we can now calculate the area.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width.

Here, the length is l = 28 and the width is w = 21. Plug these in:

A = lw

A = 28 * 21 = 588

The answer is thus 588 units squared.

~ an aesthetics lover

Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

Answer:  B) y = 2 · 3ˣ

Step-by-step explanation:

We can see that (2, 18) is a point on the graph.

Plug it into the equations to see which one make a true statement.

        A) y = 1 · 3ˣ

            18 = 1 · 3²

            18 = 1 · 9

             18 ≠ 9

       B) y = 2 · 3ˣ

          18 = 2 · 3²

           18 = 2 · 9

           18 = 18             This works!

       C) y = 3 · 2ˣ

          18 = 3 · 2²

           18 = 3 · 4

           18 ≠ 12

       D) y = 4 · 3ˣ

          18 = 4 · 3²

           18 = 4 · 9

           18 ≠ 36