Please help asap
Multiply:
3(4a)
Will give 25 points!

Answer:

y=0, x=4

Step-by-step explanation:

2x+2y=8 --- (1)

4x+3y=16 --- (2)

Multiply the coefficient of x in equation (1) across the variables in equation (2), and multiply the coefficients of x in equation (2) across the variables in equation (1).

8x+8y=32 ---- (3)

8x+6y=32 ---- (4)

Subtract equation (3) from (4)

2y=0, y=0/2, y=0.

Substitute the solution for y=0 into equation (1)

2x+2(0)=8

2x=8

x=4

Answer:

0.001

Step-by-step explanation:

Given (or we can find) :

First term : 216

Common ratio : 36/216 = 1/6

To find 8th term :

a₈ = ar⁸⁻¹

a₈ = (216)(1/6)⁷

a₈ = 216/279936

a₈ = 6³/6⁷

a₈ = 1/6⁴

a₈ = 1/1296

a₈ = 0.000771604938

a₈ = 0.001 (nearest thousandth)

[tex]\\ \rm\Rrightarrow 7829y\times \dfrac{-69}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7829(69)y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{540201y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow 9646.4y/x[/tex]

Answer:

  (B)  38.4 m³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height.

__

The picture tells you the area of the pool is 24 m² and its height is 1.6 m. The volume formula tells you its volume is ...

  V = Bh = (24 m²)(1.6 m) = 38.4 m³

The volume of the prism is 38.4 cubic meters.

Answer:

[tex]y = \dfrac 12x -5[/tex]

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1) = (6,-2)~ \text{and}~ (x_2,y_2) = (12,1)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{1+2}{12-6}= \dfrac{3}{6} = \dfrac 12\\\\\text{Equation of line,}\\\\~~~~~~~~y-y_1 =m(x-x_1)\\\\\implies y+2=\dfrac 12 (x-6)~~~~~~~~~~~~~~;[\text{Point -slope form}]\\\\\implies y = \dfrac 12 x -3 -2\\\\\implies y = \dfrac 12x -5~~~~~~~~~~~~~~~~~~~~~;[\text{Slope-intercept form.}][/tex]

The obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis. None of the option is correct.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The given equation of the function is;

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

Hence,the obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis.

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Answer:

The function f(x) = sqrt(x - 2) + 3 represents a square root function that is shifted 2 units to the right and 3 units up from the parent function f(x) = sqrt(x).

The endpoint of the function occurs when the radicand (x - 2) is equal to zero, which means x = 2. So, the function has an endpoint at (2, 3).

Since the function involves a square root, the value of y cannot be negative. Therefore, the function is increasing to the right.

The correct graph that represents the function f(x) = sqrt(x - 2) + 3 is the one that shows a curve with an endpoint at (2, 3) that increases to the right.

Therefore, the answer is: The graph shows a curve with an endpoint at 2 comma 3 that increases to the right. A.

Answer: Mean: 10.5, Median: 9 Mode: 8 Range: 7

Step-by-step explanation  

mean put the numbers in order, so 8,8,8,10,14,15 the mean is adding all numbers together and dividing by the number so 8 + 8 + 8 + 10 + 14 + 15 divided by 6 is 10.5,

median is middle so 9 since theres two middle numbers u add them both and then divide by 2

mode is the most so its 8 since 8 is there 3 times

range is the highest number and lowest number and u subtract them so 15 - 8 = 7

sorry if this is long but the answers are at the top

Answer:

Below in bold.

Step-by-step explanation:

Mean = ( 8 + 10 + 8 + 14 + 8 + 15) /  6

=  10.5.

Arrange in ascending order to find the median:

8 8 8 10 14 15

Median = mean of the middle 2 numbers

= (8 + 10)/2

= 9.

Mode = most occurring number = 8.

Range = greatest - least = 15 - 8 = 7.

Answer:

4 cm

Step-by-step explanation:

Scale

Scale factor=10

Distance of Greenwood=40km

Now apart in map

Answer: 84 degrees

Step-by-step explanation:

this triangle is an isosceles triangle meaning two sides are of equal length ( the two sides in this case being the ones marked with the two lines // and // ) and that also means the triangle will have two equal angles (48 and 48) how do we know that? The triangle looks like this essentially: (see image below) where angle a = to angle b

a triangles angles added up always =180 degrees

Since we proved angle a is equal to angle b, we should be able to also subtract them from 180 to find angle c. 48+48=96

and simply subtract 96 from 180 to get 84 degrees.

therefore the angle is 84 degrees

Answer:

b = 49 cm

Step-by-step explanation:

Volume of a rectangular prism = width × length × height

Given:

Substituting the given values into the formula and solving for b:

⇒ 48608 = 16 × b × 62

⇒ 48608 = 992 b

⇒ b = 48608 ÷ 992

⇒ b = 49

Answer:

b = 49 cm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

Substitute the values above and solve for b:

48,608 = b × 16 × 62

48,608 = 992b

48,608/992 = 992b/992

49 = b

Final answer: 49 cm

Hope this helps!

Convert angle to radians

So

Area

Answer:

[tex]\textsf{C.} \quad \dfrac{64 \pi}{3} \: \sf square\:centimeters[/tex]

Step-by-step explanation:

Formula

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

Substitute the given values into the formula and solve for Area:

[tex]\large \begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (8)^2\\\\& =\left(\dfrac{1}{3}\right) \pi (64)\\\\& =\dfrac{64}{3} \pi \: \sf cm^2\end{aligned}[/tex]

Answer:

-6, -4

Step-by-step explanation:

I got it right

                  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

       What is the equation of the line that passes through (-3, 6) and has a slope of -2?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

First, we need to write the equation of the line in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with 6, m with -2, and x1 with -3:-

[tex]\sf{y-6=-2(x-(-3)}[/tex]

On simplification,

[tex]\sf{y-6=-2(x+3)}[/tex]

On further simplification,

[tex]\sf{y-6=-2x-6}[/tex]

Add 6 on both sides:-

[tex]\it{y=-2x}[/tex]

          - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Probability helps us to know the chances of an event occurring. The probability of getting a double card in a row is 0.311.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of drawing a single double turn card for the first time, therefore,

Probability = 29/52

Further, given the card is replaced and reshuffled, therefore, the probability of getting a double card again will be,

Probability = 29/52

Thus, the probability of getting a double card in a row can be written as,

Probability = (29/52)×(29/52) = 0.311

Hence, the probability of getting a double card in a row is 0.311.

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Answer:

The incenter....

Step-by-step explanation:

The point at which all three of the angle bisectors of a triangle meet is known as the incenter

dont confuse it with the circumcenter and the centroid.

i hope this helps!!!

a) 280 points

b) 80 points

c) 240 points

d) 120 points

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

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Answer: Its C

Step-by-step explanation: Just did it

The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:

a. 0.2975.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, we have that the events are as follows:

We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:

[tex]P(A) = 0.35, P(B|A) = 0.85[/tex]

Then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]0.85 = \frac{P(A \cap B)}{0.35}[/tex]

[tex]P(A \cap B) = 0.85(0.35) = 0.2975[/tex]

Which means that option a is correct.

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Answer:

radius 4

center (3,6)

Step-by-step explanation:

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

coordinates of the center (h, k) and the radius is (r)

x² + y²- 6x - 12y +29=0

x² - 6x + y²- 12y +29=0

(x² - 6x) + (y²- 12y) +29=0

complete the square

(x² - 6x) + 9 + (y²- 12y) +36 +29=  + 9  +36

(x² - 6x + 9) + (y²- 12y + 36) = + 9  +36 -29

(x-3)^2 + (y-6)^2 = 16

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

coordinates of the center (h, k) and the radius is (r)

center (3,6)

radius 4

cuemathcom

varsitytutors

Answer: Center: (3,2)                Radius: 5

Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12

Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.

#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4

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

Circle centered at (3,2) with radius = 5

Answer:

Step-by-step explanation:

Let Emma's age be 2x years, then:

Elsa's age is x years, also:

Bella's age is x - 2 years.

In one years time the sum of their ages

=  2x + 1 + x + 1 + x - 2 + 1

= 4x + 1  where x = Elsa's age now.

5 years before now

Sum of their ages

=  2x -5 + x - 5 + x - 2 - 5

= 4x - 17 where x = Elsa's age now,

Answer:

D. 12.

Step-by-step explanation:

As I is the centroid G is the midpoint of CE, so

2x + 5 = 5x - 4

5+4 = 5x - 2x

3x = 9

x = 3.

x + 5 =  2/3 * CH   (Properties of the centroid of a triangle).

So as x = 3

2/3 CH = 3 + 5

CH = 8 * 3/2

CH = 12.

Simplified

[tex]x\sqrt[3]{x}[/tex]

Polynomials are the algebraic expressions that consist of variables and coefficients.

The Closure property of addition states that in a defined set, for example, the set of all positive numbers is closed with respect to addition since the sum obtained adding any 2 positive numbers is also a positive number which is a part of the same set.

Closure property of subtraction states that if any two real numbers a and b are subtracted from each other, the difference or result will be a real number as well. For example, 9 - 4 = 5.

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Answer:

d 15.

Step-by-step explanation:

Slope = (difference in y values)/ (corresponding difference in x values)

So we have:

Slope = (120-117)  / (6.6-6.4)

          =  3 / 0.2

           = 30/2 = 15.

#20

#21

Find LCD of 2,7x,x

So

Answer:

20.  (4)  x > 6

21.  (3)  14x

Step-by-step explanation:

Question 20

[tex]\begin{aligned}\dfrac{1}{2}x+3 & < 2x-6\\\dfrac{1}{2}x+3-3 & < 2x-6-3\\\dfrac{1}{2}x & < 2x-9\\\dfrac{1}{2}x-2x & < 2x-9-2x\\-\dfrac{3}{2}x & < -9\\-\dfrac{3}{2}x \cdot 2 & < -9 \cdot 2\\-3x & < -18\\-\dfrac{3x}{3} & < -\dfrac{18}{3}\\-x & < -6\\\dfrac{-x}{-1} & < \dfrac{-6}{-1}\\x & > 6\end{aligned}[/tex]

Rewrite all three fractions so that their denominators are the same:

[tex]\dfrac{1}{2}=\dfrac{1 \times 7x}{2 \times 7x}=\dfrac{7x}{14x}[/tex]

[tex]\dfrac{2}{7x}=\dfrac{2 \times 2}{7x \times 2}=\dfrac{4}{14x}[/tex]

[tex]\dfrac{5}{x}=\dfrac{5 \times 14}{x \times 14}=\dfrac{70}{14x}[/tex]

Therefore, the least common denominator is [tex]14x[/tex]

Answer:

3x² + 4x + 8 = 0

Step-by-step explanation:

Standard form of quadratic equation is

ax²+bx+c=0

standard form of quadratic equation 3x²+4x+7=-1 is

3x² + 4x + 7 = -1

3x² + 4x + 7 + 1 = 0

3x² + 4x + 8 = 0