Question 7 of 10
Leon graphed y = 18 -0.05x to represent the number of gallons of gas left in
his car after driving x miles,
20 gallons
mod
What is a reasonable domain for this situation?
A. All real numbers
B. X20
CC. -40 SXS 440
DO 5X5360

Answer:

[tex] log_{3}( {x}^{3} + {2x}^{2})[/tex]

Answer:

Answer:

log_{3}( {x}^{3} + {2x}^{2})log

3

(x

3

+2x

2

Answer:

Liz made $30.50 more than Hal

Step-by-step explanation:

  87.00

-  56.50

________

   30.50

or

87.00-56.50=30.50

Answer:

Step-by-step explanation:

For this case we must determine the inverse of the following function:

[tex]f(x)=3x-2[/tex]

Step 1:

We would write

[tex]y=f(x)[/tex] or [tex]y=3x-2[/tex]

Step 2:

We clear x:

[tex]y+2=3x[/tex]

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

Step 3:

"x" and "y" are exchanged:

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

The inverse is:

[tex]f^{-1}(x)=\frac{x+2}{3}[/tex]

9514 1404 393

Answer:

  B.  2 +3x

Step-by-step explanation:

The greatest common factor of 12 and 18 is 6:

  12 = 6×2

  18 = 6×3

The greatest common factor of x² and x is x². Factoring out the greatest common factors, we have ...

  12x² +18x³ = 6x²(2 +3x)

The factors are 6x² or (2 +3x). The last of these is an answer choice.

  2 +3x is a factor

Answer:

8 second

Step-by-step explanation:

400/180,000 × 3,600 second =

1,440,000/180, 000 = 8 second

Answer: 8 second

Step-by-step explanation:

Answer:

hi there so if a = 5cm b =12cm c=13cm the area is 30cm the perimeter 30cm

Step-by-step explanation:

Answer:

B. 4mm

Step-by-step explanation:

A cube is a 3d square, so the length, width, and height are equal. To find the volume you have to times all three of those things. 4^3 or 4 * 4 * 4, is 64.

Answer:

B is the answer ill come back if it's wrong

Update: Its correct

Step-by-step explanation:

is this like Algebra 1 or 2? you can try to use a graph generator to help

Answer:

It would take 19 hours and 36 minutes until there are 1040 bacteria present.

Step-by-step explanation:

Given that in a lab experiment, 610 bacteria are placed in a petri dish, and the conditions are such that the number of bacteria is able to double every 23 hours, to determine how long would it be, to the nearest tenth of an hour, until there are 1040 bacteria present, the following calculation must be performed:

610X = 1040

X = 1040/610

X = 1.7049

2 = 23

1.7049 = X

1.7049 x 23/2 = X

39.2131 / 2 = X

19.6 = X

100 = 60

60 = X

60 x 60/100 = X

36 = X

Therefore, it would take 19 hours and 36 minutes until there are 1040 bacteria present.

Answer:

x = -1

y = 4

Step-by-step explanation:

Why are there so many ''' in your question? Do they have any signifigance?

The value of [tex]x[/tex] of the system of equations will be  [tex]-1[/tex].

System of equations is a finite set of equations for which common solutions are sought.

We have,

[tex]4x + 3y = 8[/tex]    

[tex]4x-3y = -16[/tex]

So,

Using the linear combination method,

i.e. adding the given equations,

[tex]4x + 3y = 8[/tex]    

[tex]4x-3y = -16[/tex]

We get,

[tex]8x=-8[/tex]

⇒

[tex]x=-1[/tex]

So, value of [tex]x[/tex] is [tex]-1[/tex] .

Hence, we can say that the value of [tex]x[/tex] of the system of equations will be  [tex]-1[/tex].

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Given:

The rule of input and output function is:

[tex]25-g[/tex]

To find:

The answer if we put 19.

Solution:

Consider the input and output function is:

[tex]f(g)=25-g[/tex]

Substitute [tex]g=19[/tex], we get

[tex]f(19)=25-19[/tex]

[tex]f(19)=6[/tex]

Therefore, the required answer is 6.

Answer:

It’s triangular prism

Step-by-step explanation:

Answer:

The dimensions of the rectangle are:

2a^2b^2 and 3ab^2 + 5a + 7b

Step-by-step explanation:

The question is asking for the length and width of the rectangle, and gives you an equation that shows the area of the rectangle. It says to factor out the  GCF to find these dimensions. In simpler terms, the question wants you to divide the equation for the area, 6^3b^4 + 14a^2b^3 + 10a^3b^2, into two different equations for the length and width, which can't be divided more.

We have three terms to find the greatest common factor (GCF) of. 6^3b^4, 14a^2b^3, and 10a^3b^2. First, let's factor out the 2. This leaves us with

2(3^3b^4 + 7a^2b^3 + 5a^3b^2)

It seems like we're done with factoring out coefficients, for 3, 5, and 7 are all prime. Now, variables. Each term has a factor of a^2b^2. (not more, for this is the limit of  14a^2b^2.)

2a^2b^2(3ab^2 + 7b + 5a) .   (this is the same as the answer above, but I changed the order of 7b and 5a there because some online things are specific and don't like it if you don't put the equations in order.)

And that's it!

Answer:

x = 12

Step-by-step explanation:

You can solve this problem by using ratios of corresponding sides.

Answer:

b = 4

r = 3

Step-by-step explanation:

r + b = 7

solve for 'r' to get r = 7-b

now substitute '7-b' for r in the second equation:

3.75(7-b) + 2.75b = 22.25

26.25 - 3.75b + 2.75b = 22.25

-b = -4

b = 4

r = 3

Jared bought 3 cans of red paint (r = 3) and 4 cans of black paint (b = 4).

To solve this problem, using algebraic equations. Jared recently bought cans of red and black paint, and we want to find out how many cans of each color he purchased. We know that the cost of a red can is $3.75, the cost of a black can is $2.75, and Jared spent a total of $22.25 on the paint. We will set up two equations based on the given information and solve them simultaneously to find the values of "r" (number of red cans) and "b" (number of black cans).

Let's use the following variables:  

r  : Number of red cans purchased  

b : Number of black cans purchased

Now, we can set up two equations based on the information given in the problem:

1. The total number of cans purchased:  

  Since Jared bought 7 cans in total, we can write this as:

   r + b = 7  ... (Equation 1)

2. The total cost of the cans:  

  The cost of each red can is $3.75, so the total cost of all red cans is 3.75r. The cost of each black can is $2.75, so the total cost of all black cans is 2.75b. Jared spent a total of $22.25, so we can write this as:

    3.75r + 2.75b = 22.25  ... (Equation 2)

Now, we have a system of two equations with two variables. We will use the method of substitution or elimination to solve for r and b.

Using substitution, we can rearrange Equation 1 to solve for r:  

r = 7 - b

Now, we can substitute this value of r into Equation 2:

3.75(7 - b) + 2.75b = 22.25

Next, distribute and simplify the equation:

26.25 - 3.75b + 2.75b = 22.25

Combine the b terms:

-1b = 22.25 - 26.25

Simplify further:

-1b = -4

Finally, divide both sides by -1 to find the value of b:

b = 4

Now that we have the value of b, we can find r by substituting the value of b into Equation 1:

r + 4 = 7

Subtract 4 from both sides:

r = 7 - 4

r = 3

Therefore, Jared bought 3 cans of red paint (r = 3) and 4 cans of black paint (b = 4).

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Answer:

c

Step-by-step explanation:

3/5m - 15

3/5m - 15 = 0

Make 15 the subject of the formula

3/5m = 15

the above equation can be interpreted as

3/5 times m is equal to 15

The sum of 3/5 and a number is 15 would be represented as 3/5 + m = 15

Three-fifths more that a number is 15 would be represented as 3/5m + m = 15

Answer:It B and C

Step-by-step explanation:

Answer:

The lower bound of the 80% confidence interval of the average typing speed of a student of this college is of 68.516 words per minute.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-interval is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.328

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.328\frac{5}{\sqrt{20}} = 1.484[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 70 - 1.484 = 68.516 wpm.

The lower bound of the 80% confidence interval of the average typing speed of a student of this college is of 68.516 words per minute.

Answer:

x = 7.39

Step-by-step explanation:

log(x)²=(logx)², find the value of x​

log x² = log x * log x

2log x = log x * log x

2 = log x

Take the exponent pf both sides

e² = e^logx

e²  = x

x  = e²

x = 7.39

Answer:

Rotation

Step-by-step explanation:

Its not a dilation because that is making a shape bigger or smaller, assuming you can only do one it cant be a reflection. and none is wrong. so It has to be rotation

Answer:

50000000

Step-by-step explanation:

Answer:

it's a triangular prism.

Answer:

8.13

Step-by-step explanation:

125 x .065 = 8.13

Answer:

62°

Step-by-step explanation:

In an isosceles triangle, angle opposite to equal sides are equal.

So according to angle sum property :

x + x + 56 = 180

2x + 56 = 180

x = 180 - 56 /2

x = 62°

Answer:

The null hypothesis must be rejected

Step-by-step explanation:

Here the P value is less than 0.05

which means that the test results are statistically significant and there are sufficient evidence to reject the null hypothesis and accept the alternative hypothesis.

Hence, the null hypothesis must be rejected.