Find the value of k that makes each statement true.

Answer:

-2

Step-by-step explanation:

3(-3)^2+5(-3)-14

27-15-14=-2

Answer:

interest earned: $105

balance of the account: $455

Step-by-step explanation:

Interest earned and The balance of the account are $105 and $455.

Given:

Amount invested = $350

Interest rate = 3% = 0.03

Number of year = 10 years

Find:

Computation:

simple interest earned = PRT

Interest earned = (350)(0.03)(10)

Interest earned = $105

The balance of the account = 105 + 350

The balance of the account = $455

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Answer/Step-by-step explanation:

1. ∠XVR = 180 - <XVW (angle on a straight line)

∠XVR = 180 - 55°

∠XVR = 125°

2. ∠RVS = <XVW (Vertical angles are congruent)

∠RVS = 55°

3. ∠WVS = ∠XVR (vertical angles are congruent)

∠WVS = 125°

4. ∠RST = <R + <RVS (exterior angle theorem)

<RST = 55 + 55

<RST = 110°

5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)

∠RSV = 180 - (55 + 55)

∠RSV = 70°

6. ∠VSU = <RST (vertical angles are congruent)

<VSU = 70°

7. ∠UST = <RSV (vertical angles)

<UST = 70°

8. ∠TUS = 180 - (<UST + <T) (sum of triangle)

<TUS = 180 - (70 + 71)

<TUS = 39°

Answer:

Step-by-step explanation:

$300 + 24×$101.50 =  $2736

finance charges = $2736 - $2499 = $237

Answer:

lines are straight, rays have one point and then a never ending arrow, line segments have 2 ends. i hope this helps.

Step-by-step explanation:

I took math and it will help you too

Answer:

if the drawing length is 5 inches, the actual length in feet would be 12.5 ft

Step-by-step explanation:

2 inches = 5 ft

1 inch = 2.5 ft

5*2.5=12.5 ft as final answer.

hope it helps

Answer:

I think it didnt change

Step-by-step explanation:

Cause both areas from the line are the same and if it were to change the left would be diffrent from the right. So there i think it didnt change.

Answer:

60. its an equalateral, they all add up to 180

Step-by-step explanation:

hope this helps! GL!

Answer:

B po

Step-by-step explanation:

hope its help youwithmy answer

Answer:

-18

Step-by-step explanation:

6-12=-6-12=-18

9514 1404 393

Answer:

  119 4/7

Step-by-step explanation:

The perimeter is the sum of side lengths.

  10 1/7 + 12 2/7 + 15 3/14 + 24 1/14 + 12 2/7 + 10 1/7 + 35 3/7

  = (10 + 12 + 15 + 24 + 12 + 10 + 35) + (1 + 2 + 2 + 1 + 3)/7 + (3 + 1)/14

  = 118 + 9/7 + 4/14

  = 118 + 1 2/7 + 2/7

  = 119 4/7 . . . . perimeter of the figure

Answer:

[tex] \large \boxed{x = \frac{2}{3} }[/tex]

Step-by-step explanation:

Goal

Given

[tex] \large{16 - 4(x + 3) = 2x}[/tex]

Step 1

[tex]16 - 4x - 12 = 2x[/tex]

Step 2

[tex]16 - 12 = 2x + 4x[/tex]

Step 3

[tex]4 = 6x \\ \frac{4}{6} = x \\ \frac{2}{3} = x[/tex]

Step 4

[tex]16 - 4x - 12 = 2x[/tex]

Substitute x = 2/3 in the equation.

[tex]16 - 4( \frac{2}{3} ) - 12 = 2 (\frac{2}{3} ) \\ 4 -4( \frac{2}{3} ) = 2( \frac{2}{3} )[/tex]

Evaluate

[tex]4 - \frac{8}{3} = \frac{4}{3} [/tex]

Move -8/3 to add with 4/3.

[tex]4 = \frac{4}{3} + \frac{8}{3} \\ 4 = \frac{12}{3} \\ 4 = 4[/tex]

The equation is true for x = 2/3. Hence, the solution is x = 2/3.

Hope this helps! Any questions about the answer can be asked in comments.

~ Vectør ~

Answer: B. The product of P and S is always a rational number.

Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.

Answer:

[tex] \sqrt{128} - \sqrt{72} = 2.82842712474619 \\ \\ 2.82842712474619 \div \sqrt{8 } = 1[/tex]

HOPE IT HELPS! :)

Answer:

The question is lacking the accompanying line plot, I found a matching line plot online:

Answers:

a) The number of minutes te greatest number of students took to do their homework = 40 minutes

b) The number of combined hours the students spent on their homework [tex]= 5\frac{1}{3}\ hours[/tex]

Step-by-step explanation:

From the diagram, the greatest number of students ( 8 students) take 2/3 hours to do their homework. Converting this time to minutes:

1 hour = 60 minutes

∴ 2/3 hours = 60 × 2/3 = 120/3 = 40 minutes

∴ 40 minutes is the time the greatest number of students take to do their homework

b) combined hours those students did their homework is calculated as follows:

total time =  (number of hours used by 1 student) × number of students

[tex]Total\ time = \frac{2}{3} \times 8 = \frac{16}{3}\\= 5\frac{1}{3} \ hours[/tex]

Step-by-step explanation:

pythagoras theorem dictates that for right triangles, a squared plus b squaredequals c squared.

7*7+x*x=14*14

49+x*x=196

x*x=147

square root of 147, I believe

Answer:

Sean's error is that he just looked the number of times 1 occurred. The theoretical probability of rolling a 1 is found by dividing the number of desired outcomes by the total number of outcomes

Step-by-step explanation:

you have to study

Answer:

Sean's error is that he just looked the number of times 1 occurred. The theoretical probability of rolling a 1 is found by dividing the number of desired outcomes by the total number of outcomes

Step-by-step explanation:

Answer: 360g

120 --> 10

  x   ---> 30

120*30=10*x

3600= 10*x

x= 3600/10

x= 360

Matthew needs 360g of flour

Answer:

360g flour

Step-by-step explanation:

10 pancakes need 120g of flour.

30 pancakes need x g of flour.

To find x, you first find the ratio between the pancakes and flour.

120g flour / 10 pancakes = 12 g flour needed per pancake

So if you have 30 pancakes,

12g of flour is needed per pancake * 30 pancakes

= 360g of flour is needed for 30 pancakes

Answer:

(x,y) => (x, -y)

Step-by-step explanation:

[tex]y = 7x + 3[/tex]

[tex] - y = 7x + 3[/tex]

[tex]y = - 7x - 3[/tex]

so

[tex]g(x) = - 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].

So,

[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

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Answer:

-8x+12

Step-by-step explanation:

the perimeter is equal to 2l+2w

so the perimeter would be 2(-5x+10)+2(x-4)

so we just have to use distributive property to simplify it

2x-5x=-10x 2x10=20 2xx=2x  2x-4=-8

now we have -10x+20+2x-8

the last step would be to combine like terms

-10x+2x=-8x

20-8=12

so the expression would be -8x+12

hope this helps :)

Answer:

dont trust me on this but i think it is 3/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

the ratios 2:1 and 18:9 are  equivalent because :

2/1 = (2×9)/(1×9)= 18/9

Yes , the ratios 2 : 1 and 18 : 9 are equivalent

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the first proportion be A = 2 : 1

Let the second proportion be B = 18 : 9

Now , from the proportion formula

a: b::c : d = a/b = c/d

So , substituting the values in the equation , we get

2 : 1 :: 18 : 9

On simplifying the equation , we get

2 / 1 = 18 / 9

Now , the proportion is

2 = 2

Therefore , the equation satisfies and the ratios are equal

Hence , the ratios 2 : 1 and 18 : 9 are equivalent

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Answer:

82 cm

Step-by-step explanation:

In rectangles diagonals are equal and bisect each other

AO = BO

5x + 1 = 4x + 9

Subtract 1 from  both sides

5x  = 4x + 9 -1

5x = 4x + 8

Subtract 4x from both the sides

5x - 4x = 8

x = 8

AO = 5x + 1

     = 5*8  +1

     = 40 + 1

AO= 41 cm

Diagonal = 2*41 = 82 cm

Answer:

I think the answer is D.

Step-by-step explanation:

Have a good day.

Answer:

24 ft²

Step-by-step explanation:

AC = 10-(3+3)= 4

AB = 12- (3+3) = 6

AB×AC = 6×4 = 24 ft²

Answer: (a) 390 miles im not sure for b

Step-by-step explanation:

Answer:

The value of [tex]a[/tex] is 6.

Step-by-step explanation:

Let the line be represented by [tex]3\cdot y = a\cdot x + 6[/tex], where [tex]x[/tex], [tex]y[/tex] are the independent and dependent variable, respectively. The explicit form of the formula is:

[tex]y = \frac{a}{3}\cdot x +2[/tex] (1)

To know the value of [tex]a[/tex], ,we need the values of [tex]x[/tex] and [tex]y[/tex] and solve the resulting expression: [tex](x,y) = (-3,-4)[/tex]

[tex]-4 = \frac{a}{3} \cdot (-3)+2[/tex]

[tex]-4 = -a + 2[/tex]

[tex]a = 6[/tex]

The value of [tex]a[/tex] is 6.