What are the minimum and maximum values of t for which |t + 3| ≤ 2

Answer:

False

Step-by-step explanation:

A cubic centimeter refers to a cube because it would be LWH (Lengeth * Width * Height) and if they were all one centimeter the volume would be 1 cubic centimeter. If it was a centimeter squared then it would be a square with 1 cm long sides.

Answer:

7. is G

8. f(4)=-120

Step-by-step explanation:

7. les do f(0)=4 since its the easiest

F. f(0)=0.4(0+5)(0-2)

    0.4*-2*5=-4                NOT IT. the ans. is +

G. f(0)=-0.4(0+5)(0-2)

    -0.4*-2*5=4               YESSSSSS

H. f(0)=-0.4(0-5)(0+2)

     -0.4*2*-5=4              YESSSSSS

J. f(0)=0.4(0-5)(0+2)

     0.4*2*-5=-4              NOT ITTTT

so G n H

 Put both equation=0

G. 0=-0.4(x+5)(x-2)

    x=-5,2     YASSSS this is the ans.

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

Answer:

x=4

Step-by-step explanation:

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

There is no diagram, so you should guess C. C is the most likely to be chosen as an answer.

Answer:

the answer is c

Step-by-step explanation:

I just did this

Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

[tex]x = 3y[/tex]

The total interest is $1,350.

Thus, we can write the equation:

[tex]1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000[/tex]

Solving the two equations by substitution method:

[tex]7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000[/tex]

Thus, she invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Answer:

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

Step-by-step explanation:

You'd multiply the exponents, making the answer = [tex]x^{\frac{2}{3}*\frac{5}{2} }[/tex] = [tex]x^{5/3}[/tex]

Step-by-step explanation:

9x-6(x+4)

9x-6x-24

3x-24

Answer: 3x-24

Step-by-step explanation:

Answer:

(-4,1)

Step-by-step explanation:

The given parabola is

[tex]y = - \frac{1}{4} {x}^{2} - 2x - 2[/tex]

When we rewrite in vertex form, we get;

[tex]y = - \frac{1}{4} {(x + 4)}^{2} + 2[/tex]

Or

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

When we compare to:

[tex]{(x - h)}^{2} = 4p( y - k)[/tex]

We have 4p=-4

This means p=-1

But the vertex is at:

(-4,2)

Since it is a vertical parabola that opens down, the focus is one unit(|p|=1) below the vertex.

Hence the focus is (-4,1)

|-1| < |-2|

third answer

When a negative number is in a pair of |  |, it turns into a positive. Positive numbers stay the same.

The solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]

Explanation:

The system of equations are [tex]4 x+5 y=7[/tex] and [tex]3 x-2 y=-12[/tex]

To determine the solution of the equation, let us solve the equations by elimination method.

Thus, multiplying the equation [tex]4 x+5 y=7[/tex] by 2, we get, [tex]8x+10y=14[/tex]

Multiplying the equation [tex]3 x-2 y=-12[/tex] by 5, we get, [tex]15x-10y=-60[/tex]

Adding these two equations, we have,

[tex]\ \ 8x+10y=14\\15x-10y=-60\\---------\\23x=-46[/tex]

Dividing both sides by 23, we have,

[tex]\frac{23x}{23} =\frac{46}{23}[/tex]

  [tex]x=-2[/tex]

Thus, the value of x is [tex]x=-2[/tex]

Substituting [tex]x=-2[/tex] in the equation [tex]4 x+5 y=7[/tex], we get,

[tex]4 (-2)+5 y=7[/tex]

    [tex]-8+5 y=7[/tex]

             [tex]5y=15[/tex]

               [tex]y=3[/tex]

Thus, the value of y is [tex]y=3[/tex]

Hence, the solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]

The solution to the system of equations, is: (-2, 3).

To find the solution, you can use the elimination method by first making both equations equivalent. Then add or subtract to eliminate a variable.

Given:

Multiply eqn. 1 by 3 and eqn. 2 by 4:

12x + 15y = 21 --> Eqn. 1

12x – 8y = –48 --> Eqn. 2

23y = 69

y = 3

Substitute y = 3 into eqn. 1.

4x + 5(3) = 7

4x + 15 = 7

4x = 7 - 15

4x = -8

x = -2

Therefore, the solution to the system of equations, is: (-2, 3).

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The balance after 2 years will be $1872.72.

To find the balance after 2 years when you deposit $1800 into a savings account that earns 2% interest compounded annually, we can use the compound interest formula:

[tex]\[ A = P(1 + r)^n \][/tex]

Where:

- A is the amount of money accumulated after n years, including interest.

- P is the principal amount (the initial amount of money).

- r  is the annual interest rate (expressed as a decimal).

- n is the number of years the money is deposited for.

Given:

[tex]- \( P = $1800 \)[/tex]

[tex]- \( r = 2\% = 0.02 \)[/tex] (expressed as a decimal)

[tex]- \( n = 2 \)[/tex] years

Plug these values into the formula and solve for A :

[tex]\[ A = 1800(1 + 0.02)^2 \][/tex]

[tex]\[ A = 1800(1.02)^2 \][/tex]

[tex]\[ A = 1800(1.0404) \][/tex]

[tex]\[ A = 1872.72 \][/tex]

Answer:

I would say Graph 2 because if its showing f(x)=x2+5

there are no negatives in this equation, so I think it is graph 2

The graph of the function is attached to the solution.

The given equation is f(x) = x²+5, the power on the variable is 2, that means the equation is a quadratic equation therefore, the graph will be a parabola,

Since, there is no negative sign so, the parabola will be opened up,

Also, there are 5 units added in the equation that mean the parabola will be 5 units up from the origin.

So, the graph will be an upward opened parabola with its vertex at (0, 5)

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Answer:

he got 24 right

Step-by-step explanation:

30 time 80% is 24

John answered 24 questions correctly out of 30 by answering 80% of the questions correctly.

To determine how many questions John answered correctly, we can use the information that he answered 80% of the 30 questions correctly. We can follow these steps to find the answer:

0.80 * 30 = 24

Therefore, John answered 24 questions correctly out of the 30 questions on the test.

Answer:

a) Positive linear

b) 72

c) Marks scored when no time is spend on homework.

Step-by-step explanation:

a) relationship between the hours spent on homework and the test scores

As the time spent on homework increases the test score increases.

Similarly if less time is spent on homework, there would be a decrease in test score.

The two variables are directly related.

Thus, there relationship can be expressed as a positive linear relationship.

b) The model function

[tex]y= 8x + 40[/tex]

where y is the test score and x is the time spent on homework in hours.

Score predicted by model when x = 4

[tex]y(4)= 8(4) + 40 = 32 +40 = 72[/tex]

Thus, model predict that the score on test will be 72 when 4 hours are spent on homework.

c) Interpretation of 40

When x = 0

[tex]y(0)= 8(0) + 40 = 40[/tex]

Interpretation:

Thus, when Paul spends no time on homework that is zero hours are spend on homework, then, Paul will score 40 on test.

Answer:? 5,400.

Step-by-step explanation:

Equity at the end of the year = $130,000

Step-by-step explanation:

Step 1:

Given ,

Asset of the company at beginning of year = $300,000

Equity  of the company at beginning of year = $100,000

Increase of the assets  during the year = $80,000

Increase of the liabilities  during the year =  $50,000

We need to find the equity at the year end.

Step 2 :

The equity at any point can be obtained by using the formula

equity = assets - liability

At the beginning of the year ,

100,000 = 300,000 - liability

So liability = 300,000 - 100,000 = 200,000

Step 3 :

During the year, assets increase $80,000 and liabilities increase $50,000

So assets at the year end = 300,000 + 80,000 = $380,000

liabilities at the year end = 200,000 + 50,000 = $250,000

Therefore

Equity at the year end = 380,000 - 250,000 = $130,000

Step 4 :

Answer :

Equity at the year end = $130,000

Answer:

Step-by-step explanation:

Factor using the perfect square rule.(5x−2)2

answer  using factor

Answer: 25x2+40x+16

Step-by-step explanation:

Answer:

Explanation:

In a right triangle the longest side is the hypotenuse. In this case the length is 5 units.

The hypotenuse is opposite to the right angle.

You must draw a small square inside the right angle. In the figure the right angle is labeled C.

The other two sides are the legs: in this case their lengths are 3units and 4 units.

The side with the shortest length is opposite to the smallest angle; the side with the intermediate length is opposite to the angle with the intermediate measure.

The vertices are marked with capital letters. I used A, B, and C.

With this explanation you can understand the figure attached and build one on your own.

Answer:

My options of triangles

Answer:

$0.21

Step-by-step explanation:

2.52/12

Answer:

29000

Step-by-step explanation:

Nearest thousand means the thousand at which the digit is nearest to. Now in approximation, we round up numbers from 1 to 4, to Zero while numbers from 5 to 9 are rounded up to 1.

28913 is between thousand 28,000 and 29000.

And then to be rounded up to the nearest thousand, the digit 9, before the thousand digit 8, in the number 28913 will therefore will rounded up to 1 and added to the thousand digit 28.

We therefore have 29,000

Answer:

9.45cm^2

Step-by-step explanation:

1.5*1.5=2.25

A=BH/2

2.4*1.5/2=1.8

1.8*4=7.2

7.2+2.25=9.45

Answer:

Step-by-step explanation:

2.4 x 1.5/2 to get the area of the triangle

so i would start with 2.4 x 1.5 which is 3.6 and do 3.6/2 which is 1.8 and do

1.8 x 4= 7.2

and the middle part is 1.5 x 1.5 which is 2.25

and do 7.2 plus 2.25 which is 9.45cm

Answer:

79%

Step-by-step explanation:

Area of the square:

1 + 1 = 2

2 × 2 = 4

Square = 4 units^2

Area of the circle:

pi × 1^2

pi × 1

1pi

Square = 3.14 units^2

Let's find probability:

3.14 ÷ 4 = 0.785

0.785 × 100 = 78.5

There is a 78.5% chance of landing in the circle. This percentage can be rounded to 79%

Answer:

4•5 is Noah's result, 4+5 is Neithers, 4^5 is Noah's result, and 5^4 is Diego's result

Step-by-step explanation:

I am just trying to help. I hope it works!

Diego's result is the same as Noah's result and that is 4 ⋅ 5,  For each expression.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Noah starts with 0 and then adds the number 5 four times.

i.e. we get,

Noah: 5+5+5+5=20

again, we have,

Diego starts with 1 and then multiplies by the number 5 four times.

i.e. we get,

Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20

so, we have,

that,  For each expression, we get 20

we know,

20 = 4*5

i.e. 4 multiplied by 5.

Hence, Diego's result is the same as Noah's result and that is 4 ⋅ 5,  For each expression.

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Answer:

$404.01 dollars

Step-by-step explanation:

603*33%=198.99

600-198.99=$404.01

MARK BRAINLIEST

Answer:

The suit costs $401.01

Step-by-step explanation:

$603.00 x .33 = $198.99

600.00 - 198.99 = 401.01

two hundred fourteen and thirteen thousandths

Answer: two hundred fourteen and thirteen thousandths

Step-by-step explanation: If you wanted to do this with 214.013, I start with the whole number, which in this case is 214. To write 214 in words, that would be two hundred fourteen. Now, if you add the decimal, you know the first decimal spot is tenths, second is hundredths, and third is thousandths. The decimal would be thirteen thousandths. To add that up, you get two hundred fourteen and thirteen thousandths.

Answer:

50 mph

Step-by-step explanation:

To calculate averages you add up all the items and divide by the total number of items there is.In this problem were 2 items so you divide it by 2

Add the two numbers

40+60=100

now just divide by 2 because there was 2 drives giving you 50 mph

Hope this helps!

:)

Answer:18%

Step-by-step explanation:

Sandra's Monthly budget on expenses for living expenses = $580

Sandra's semimonthly net = $1640

Sandra's monthly net = $1640 x 2 = $3280

The percent of her net monthly income that she budget on living expenses is:

= (Budget on living expenses / Monthly net) x 100

= (580 / 3280) x 100

= (0.176829) x 100

= 17.68% = 18% (approximately)

Answer:

18%

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Let the number be A

Given 6 times A is 12+ (4 xA)

That’s

6 x A = 12 + 4A

6A = 12 + 4A

Subtract 4A from both sides

6A - 4A = 12 - 4A - 4A

2A = 12

Divide both sides by 2

A = 12/2

A = 6

The number is 6

Answer:

182.25 J

Step-by-step explanation:

KE = (0.5)*m*v^2

KE = (0.5)*(0.18 kg)*(45 m/s)^2

KE = 182.25 Joules

Hope this helps!

Final answer:

The kinetic energy of a 0.18 kg ball moving at 45 m/s is calculated using the formula KE = (1/2)mv² and is found to be 182.25 joules.

Explanation:

The kinetic energy (KE) of an object is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. For a ball with a mass of 0.18 kg moving at a velocity of 45 m/s, we can find its kinetic energy by substituting these values into the formula.

KE = (1/2) imes 0.18 kg  imes (45 m/s)²

= 0.09 kg imes 2025 (m/s)²

= 182.25 joules

Therefore, the kinetic energy of the ball is 182.25 joules.