∠1 and ∠2 are complementary. If m∠1 = 4m∠2, find m∠1

Answer:

A+C=34

10C+20A=570

Answer:

-2

Step-by-step explanation:

its a geometric sequence where every term is being divided by -3

Answer:

-2

Step-by-step explanation:

This is a geometric sequence.  We need to find the common ratio

Take the second term and divide by the first

-18/54 = -1/3

Take the third term and divide by the second

-18/6 = -1/3

The common ratio is -1/3

The next term is the third term times the common ratio

6 * -1/3 = -2

The fourth term  is -2

Answer:

[tex]\large\boxed{b=\sqrt{95}}[/tex]

Step-by-step explanation:

Use the Pyhagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=b,\ leg=7,\ hypotenuse=12[/tex]

Substitute:

[tex]b^2+7^2=12^2[/tex]

[tex]b^2+49=144[/tex]       subtract 49 from both sides

[tex]b^2=95\to b=\sqrt{95}[/tex]

Answer:

if i did my math right then the answer is 244

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Substitute the given values for a and b into the expression

2a² + 5b²

= 2(- 6)² + 5(2)²

= (2 × 36) + (5 × 4)

= 72 + 20

= 92

First you need to replace all of the letter A's with -6 and all of the B's with 2.

The equation would look like this

2(-6)^2+5(2)^2

Second, you solve what in is the parenthesis 2(-6)=-12         5(2)= 10

Third, you rewrite the problem.   -12^2+10^2

Fourth, you need to figure out what the final answer would be.    

-12^2=-144 and 10^2=100

The answer would be -144+100=-44

Sorry!!! This is probably Wrong, I didn't use an algebra calculator or anything to check the answer. I didn't remember if I needed to bring the number in parenthesis to the power before or after multiplying.

Answer:

statement A

Step-by-step explanation:

If the ratio

[tex]\frac{QT}{TR}[/tex] = [tex]\frac{QU}{US}[/tex]

then TU is parallel to RS

[tex]\frac{QT}{TR}[/tex] = [tex]\frac{32}{36}[/tex] = [tex]\frac{8}{9}[/tex]

[tex]\frac{QU}{US }[/tex] = [tex]\frac{40}{45}[/tex] = [tex]\frac{8}{9}[/tex]

Since the ratios are equal then line segment TU is parallel to line segment RS

ANSWER

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

EXPLANATION

The polynomial function has zeros at:

-8,-1 and 3

This means the polynomial can be factored as:

[tex]f(x) = (x + 8)(x + 1)(x - 3)[/tex]

We expand the last two factors:

[tex]f(x) = (x + 8)( {x}^{2} - 2x - 3)[/tex]

We expand further to get:

[tex]f(x) = {x}^{3} - 2 {x}^{2} - 3x + 8 {x}^{2} - 16x - 24[/tex]

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

The polynomial in descending powers of x is said to be in standard form.

Answer:

The conic is an ellipse  ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- The polar form equation of a conic with a focus at the origin, the

 directrix is y = ± p where p is a positive real number, and the

 eccentricity is a positive real number e is r = ep/(1 ± e sin Ф)

# If 0 ≤ e <1, then the conic is an ellipse

# If e = 1, then the conic is a parabola

# If e > 1, then the conic is an hyperbola

- Lets solve the problem

∵ The equation of the conic is r = 3/(4 + 2 sin Ф)

∵ The form of the equation is r = ep/(1 ± e sin Ф)

- We must divide up and down by 4 to make the 1st term of the

 denominator equal 1

∴ r = (3/4)/(1 + (2/4) sin Ф)

∴ ep = 3/4

∴ e = 2/4

- Lets use the rules above to identify the type of the conic

∵ e = 2/4 = 1/2

∴ 0 ≤ e < 1

∴ The conic is an ellipse

Answer:

A C D are the answers

Step-by-step explanation:

Ellipse, r=1/1-cos theta, r=3/2-3cos theta

Answer:

see explanation

Step-by-step explanation:

The recursive formula allows us to calculate the next term in the sequence from the previous term.

The common ratio r = [tex]\frac{-24}{6}[/tex] = - 4

Thus multiplying any term by - 4 gives the next term, that is

[tex]a_{n+1}[/tex] = - 4 [tex]a_{n}[/tex] with a₁ = 6

The answer is: The point (0,0) is part of the solution.

To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

[tex]y\leq |x+4|-3[/tex]

So, evaluating we have:

- First point (-2,1)

[tex]y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1[/tex]

Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.

- Second point (1,3)

[tex]y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2[/tex]

Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

[tex]y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3[/tex]

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

[tex]y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1[/tex]

Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

you would use sine

sine = opposite side / hypotenuse

and solve for opposite side (x)

so sine of 70*14= which is about 13.146

Check the picture below.

make sure your calculator is in Degree mode.

[tex]c)x^{2/3}[/tex]

Answer:

210 miles

Step-by-step explanation:

35 x 6

Answer:

Gross annual income

Annual income i think lol

Hei there!

Let's start by letting x be the number of children in the 2nd group. So we can make an equation:

(50+x)+x=300

Next, open parenthesis and combine like terms. Then solve for x.

50+x+x=300

2x=300-50

2x=250

x=125

So, there are 125 kinds in the 2nd group.

Hope I helped, sorry if I'm wrong ouo.

~Potato.

Copyright Potato 2019.

Answer: 125 children

We have an unknown amount of children in the second group, so let us call this x. The number of children in the first class must be x + 50. In other words, the total number of children in both classes would be x + x + 50, which equals to 2x+50, and you have a total of 300 children. Let us start with this equation:

2x + 50 = 300

Subtract 50 from both sides

2x + 50 - 50 = 300 - 50

Simplify

2x = 250

Divide both sides by 2

2x / 2  =  250 / 2

Simplify

x = 125

Again, we said, x is an unknown amount of children in the second group. As you can see, x = 125, so there are 125 children in the second group.

125 + 50 = 175

Since, there are 50 more children in the first group, you would add 50 to 125, and that will give us a total of 175 children in the first group.

5??? Not 100% Sure If Im Correct.

____________________________________________________

Answer:

Your answer would be D). Since -2 is to the left of 1, -2 < 1.

____________________________________________________

Step-by-step explanation:

The reason why this would be the correct answer is because it numerically makes sense, and the statement said in the answer choice is correct on the number line.

The numbers that are on the left side of the number line, the negatives, are a lower value than the numbers on the right. To sum it up, the numbers that are more to the left are less value than the ones more to the right.

In the answer choice D, it says, "Since -2 is to the left of 1, -2 < 1."

This is correct because -2 is less than 1, so when you use the the less than sign, it makes sense since -2 is less than 1. To sum it uyp, 1 is greater than -2.

D should be your FINAL answer.

____________________________________________________

Why the other answer choices are incorrect:

The reason why answer choice "A" is incorrect because:

-2 is actually not greater than -1. Remember, The numbers that are more to the right are greater than the numbers on the left. -2 is to the left of -1, which means that -1 would be greater than -2. This statement would be incorrect. This is the reason why this answer choice would be wrong.

The reason why answer choice "B" is incorrect because:

-1 is not equal to 1. -1 is more to the left than 1, and since the negative sign is there, they wouldn't be the same. Even though they have the same number, they don't have the same value. If the equation said 1 =1, it would be true, but that's not the case in this answer choice, which would make it incorrect. This is the reason why this answer choice would be wrong.

The reason why answer choice "C" is incorrect because:

-2 is not  greater than 1/3. -2 is negative, while 1/3 is positive, therefore making the 1/3 greater than -2. In the answer choice, it's saying that -2 is greater than positive 1/3, which is incorrect. This is the reason why this answer choice would be wrong.

____________________________________________________

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

<, > - open circle

≤, ≥ - solid circle

<, ≤ - draw to the left

>, ≥ - draw to the right

[tex]3-x\geq2\qquad\text{subtract 3 from both sides}\\\\-x\geq-1\qquad\text{change the signs}\\\\\boxed{x\leq1}\\\\4x+2\geq10\qquad\text{subtract 2 from both sides}\\\\4x\geq8\qquad\text{divide both sides by 4}\\\\\boxed{x\geq2}[/tex]

natural numbers. they are also called counting numbers. hope this helps :)

The answer is Whole.

Answer:

$305

Step-by-step explanation:

Answer:

A/281.75

Step-by-step explanation:

1st step.

81.00/9=9

129/12=10.75

2nd step

9*11=99

10.75*17=182.75

3rd step

99+182.75=

281.75 or a

hope this helped!!!!

Answer:

(3, 2)

(−6, −4)

Step-by-step explanation:

Answer:

There are 96 liters of oil in both containers originally

Step-by-step explanation:

* Lets change the story problem to mathematics equation

- Let the first container had A liters of oil and the second container

 had B liters of oil

- The quantity of oil B in the second container is twice the quantity

  of oil in A in the first container

∴ B = 2A ⇒ (1)

- After using 13 liters from the quantity of oil A in the first container,

 the container had (A - 13) liters

- After using 7 liters from the quantity of oil B in the second container,

 the container had (B - 7) liters

-  After that the quantity of oil in the second container is 3 times

 more oil than the first one

∴ B - 7 = 3(A - 13) ⇒ simplify

∴ B - 7 = 3A - 39 ⇒ add 7 and subtract 3A from both sides

∴ B - 3A = -39 + 7

∴ B - 3A = -32 ⇒ (2)

- Substitute the value of B from (1) into (2)

∴ 2A - 3A = -32

∴ -A = -32 ⇒ × -1

∴ A = 32 liters

- Find the value of B by substitute value of A in (1)

∴ B = 2(32) = 64 liters

- Now find the total liters of oil in both containers

∴ A + B = 32 + 64 = 96 liters

* There are 96 liters of oil in both containers originally

Answer:

Step-by-step explanation:

let:  x , x+1 , x+2 ,x+3 , x+4 ....( 5 consecutive integers is 110)

x+x+1 +x+2 +x+3+x+4=110

5x +10 = 110

5x =100

x=100/5

x=20

the fourth number in this sequenceis : x+3  so : 23

Answer:

B

Step-by-step explanation:

The graph has a negative slope of 3, so him earning $3 wouldn't make sense, nor would him earning or spending $0.30

Final answer:

To find the missing value so that the two given points have a slope of -2, substitute the values into the slope formula and solve for y. The missing value is y = 5.

Explanation:

To find the missing value for the given points (1, y) and (6, -5) so that the two points have a slope of -2, we can use the formula for finding the slope between two points:

Slope = (y₂ - y₁) / (x₂ - x₁)

Substituting the given values into the formula, we have:

(-5 - y) / (6 - 1) = -2

Simplifying this equation:

-5 - y = -2(6 - 1)

-5 - y = -2(5)

-5 - y = -10

Solving for y:

y = -5 + 10

y = 5

Therefore, the missing value 'y' is 5.

7.5 xxx. 8.0 xxx 8.5 xxx 9.0 xxxxx 9.5 xxxx

Answer:

15/32 cup

Step-by-step explanation:

Apparently, you're to assume that flour used on the countertop does not end up in the muffins. If that is the case, then the amount of flour in the 8 muffins is ...

4 cups - 1/4 cup = 3 3/4 cups

When that is divided evenly among 8 muffins, the amount in each is ...

(1/8)·(3 3/4 cups) = (1/8)·(15/4 cups) = 15/32 cup

Answer: 15/32

Step-by-step explanation: Because she uses 1/4 to flour the counter you need to subtract 1/4 from four which gives you 3 3/4. 3 3/4 divided by eight equals 15/32

First, we need to isolate the variable x.

To isolate x, we simply need to multiply both sides by 9, which would result in x = 9

[tex] \frac{x}{9} = 1 \\ \\ 1. \: x = 1 \times 9 \\ \\ 2. \: x = 9[/tex]

Answer:

slope= -4/5

y intercept= - 9/5

Step-by-step explanation:

Answer:

It should be D if that is an option.

Step-by-step explanation:

The equation is y= -3/2 x + 3

The slope is -3/2. It goes down 3 and over 2 to the right.

The y-intercept is positive 3. It intersects with the y-axis at the point (3,0).

Answer:

y = -3/2x + 3

Step-by-step explanation:

To find the equation for the graph, first you must find the slope. Pick 2 random points on the line, [for example (2,0) and (0,3)] You can find the slope by using the formula rise/run [rise over run]. To get from point (2,0) to point (0,3) you have to go up 3 and left 2 [resulting in the negative infront of 3/2. if you went right, ti would've been positive.] Then you have your slope, -3/2x

Next find the y-intercept [the point where the line hits the y-axis]

The line hits the y-axis at (0,3), so your y-intercept s 3.

Therefore, the equation is -3/2x+3

Answer:

t = 3 seconds

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

[tex]h (t) = 144 - 16t ^ 2[/tex]

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

[tex]0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3[/tex]

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

Answer:

t=3 seconds

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

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