A toy has various shaped objects that a child can push through matching holes. The area of the square hole is square centimeters. The volume of a​ cube-shaped block is cubic centimeters. a. Which edge length can be​ found? Explain. b. Will the block fit in the square​ hole? Explain.

Answer:

C

Step-by-step explanation:

P(x)=R(x)-C(x)

=-0.6x³+900x²-400x+700-(400x²+300x)

=-0.6x³+500x²-700x+700

Answer:

2

Step-by-step explanation:

Two negatives makes a positive, - (-6) can be rewritten as +6 or simply just 6.

Proceed to do simple calculations, 6 - 4 = 2.

Answer:

2

Step-by-step explanation:

Multiply the -6 by -, and it equals a positive 6 (When you multiply a negative number by a negative number it becomes a positive).

Finish the equation by subtracting 6 - 4 = 2

I know it might not make sense but trust me, I had to do problems like this.

Hope this helps!

-Jerc

Answer: y=-25

Step-by-step explanation:

Plug in -8 for x

3(-8)-1

-24-1

-25

Answer:

x= -25

Step-by-step explanation:

-8(3)-1=

-24-1=

-25

Answer: 1/2(x+12)

Step-by-step explanation:

Answer:

y=-3x+2

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

He received that much money because all you have to do is just subtract            

43-27. Then thats how I got my answer.

Hope this helps and have a great day!

Answer:

Willie received $16 dollars during the weekend

Step-by-step explanation:

$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)

Answer:

y=3x-9

Step-by-step explanation:

Answer:

4 +5 _7

Step-by-step explanation:

Answer:

His conjecture is not logical.

Step-by-step explanation:

If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.

Answer:

The correct options are A and B.

Step-by-step explanation:

The Penguin Heights at City view Zoo (in cm) is:

S = {35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45}

Compute the mean and median of the data:

[tex]\text{Mean}=\frac{1}{n}\sum X\\\\=\frac{1}{11}\times [35+36+37+38+39+40+41+42+43+44+45]\\\\=40[/tex]

[tex]\text{Median}=[\frac{n+1}{2}]^{th}obs.\\\\=[\frac{11+1}{2}]^{th}obs.\\\\=6^{th}obs.\\\\=40[/tex]

The mean and median are same.

Tis implies that the height of penguins are normally distributed.

So, either the mean or median could be the best measure of center.

Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.

The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.

Thus, the correct options are A and B.

Answer:

1st step - parenthesis 3-9= -6, so the equation is now 2+ (-6) / -3 *4

2nd step - division- -6/-3 = 2 , so the equation is now 2 + 2 * 4

3rd step - multiplication - 2*4  = 8  so the equation is now 2+8

4th step addition- 2 + 8 = 10

Final answer 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that the total time taken to practice is given by the expression as

y=7(15+x)

Simplifying the expression we have

y=105+7x

Solving for x (that is making x subject of formula we have)

7x=y-105

Divide both sides by 7 we have

x=(y-105)/7

Therefore the expression is

x=(y-105)/7

Answer:

Both are correct

Step-by-step explanation:

To check the validity of their statements, we shall be using direct examples

For Ivan , we can have an example of his assertion as follows;

-1/2 * -1/3 = 1/6

For Polina, we can have

-1/2 * -1/3 * -1/4 = -1/24

We can see from the above that both of them got their opinions correctly as there are no exceptions to the above

Answer:

both Ivan and Polina

Step-by-step explanation:

Answer:

b car lone

Step-by-step explanation:

hope it helps

Answer:

AB and BC are Skew

AE and BF are Parallel

Step-by-step explanation:

Answer:

The mass of the steel ball is 4,235.9 gr

Step-by-step explanation:

Density

The density ρ of a substance is a measure of its mass per unit volume:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

[tex]m=\rho.V[/tex]

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3[/tex]

Calculating:

[tex]V=523.6\ cm^3[/tex]

The mass is:

[tex]m=8.09 gr/cm^3 \cdot 523.6\ cm^3[/tex]

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

Answer:

12 days

Step-by-step explanation:

Given:

s = d

Where,

d = number of days he spends on vacation

s = total number of souvenirs he buys

How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

s = 12

Since,

s = d

Then,

12 = d

Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs

Answer:-1 and 1/3

Step-by-step explanation:-4+-5=-9 -9+-1=-10 -10/3=-1 1/3

Answer:

-1

Step-by-step explanation:

divide both sides by 7 and you will get (n+4)=3

then subtract 4 on both sides and get n is equal to -1

Answer:

-1

Step-by-step explanation:

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Substituting:

[tex]\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}[/tex]

This value is used in the slope-point form of the line:

[tex]\displaystyle y-k=\frac{5}{4}(x-h)[/tex]

Where (h,k) is a point from the table, select for example (3,9):

[tex]\displaystyle y-9=\frac{5}{4}(x-3)[/tex]

Operate:

[tex]\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9[/tex]

[tex]\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}[/tex]

The equation of the line is:

[tex]\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}[/tex]

Now complete the table.

For x=0:

[tex]\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}[/tex]

[tex]y=\frac{21}{4}[/tex]

For x=15

[tex]\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}[/tex]

[tex]\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24[/tex]

y=24

For y=1.5, find x:

[tex]\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}[/tex]

Operate:

[tex]\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x[/tex]

Multiply by 4:

[tex]\displaystyle 6-21=5 x[/tex]

Solve:

[tex]x=-15/5=-3[/tex]

x=-3

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1

Substituting:

\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45

This value is used in the slope-point form of the line:

\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)

Where (h,k) is a point from the table, select for example (3,9):

\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)

Operate:

\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9

\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36

The equation of the line is:

\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421

Now complete the table.

For x=0:

\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421

y=\frac{21}{4}y=421

For x=15

\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421

\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24

y=24

For y=1.5, find x:

\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421

Operate:

\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x

Multiply by 4:

\displaystyle 6-21=5 x6−21=5x

Solve:

x=-15/5=-3x=−15/5=−3

x=-3

Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

Answer:

ummm im sorry i will answer in the comments

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

if you plot y= -3 and the point (4,-6) you will see that the only answer can be x=4

Answer:

1

Step-by-step explanation:

0^2 + 1

1

Answer:

1.25 pints

Step-by-step explanation:

gallon king!!!

1 gallon king has 4 queens (4 quarts)

1 queen (quart) has a 2 princes (pints)

1 prince has 2 cats (cups)

one cup has 8 oz

put it all together:

2 and 1/2 cups

2 cups = 1 pint

1 pint and 1/2 cup

1/2 cup is 1/4 of a pint

sooo... it's 1.25 pints!

Answer:

No

Step-by-step explanation:

it would 12:60

6x2=12

6x10=60

Answer:

they are not equivalent

Step-by-step explanation:

7 : 35

12 : 60

17 : 85

22 : 110

hear are ratios that are equivalent to 2:10

Answer:

y - 4= -2(x - 2)

Step-by-step explanation:

(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)

So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.

Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .

So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)

Answer:

-540 dollars

Step-by-step explanation:

-45*12= -540