Answer:
a. We can find edge length of the cube-shaped bock. b. No, it will not
Step-by-step explanation:
Here is the complete question
A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 18 square centimeters. The volume of a cube-shaped block is 729 cubic centimeters. a. Which edge length can be found? Explain. b. Will the block fit in the square hole? Explain.
Solution
a.
Since the volume of the cube 729 cm³ is a perfect cube of 9 cm and the area of the square hole which is 18 cm² is not a perfect square, the edge length of the cube-shaped block is easily found.
b. Since the edge length of the block is 9 cm, the area of one of its faces is (9 cm)² = 81 cm² which is greater than the area of the square hole which is 18 cm². Since their dimensions are not the same, the cube-shaped block will not fit into the square hole.
f(x)=3x-1 Find f(-8)
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
May anyone please help me?
Answer:
1
Step-by-step explanation:
0^2 + 1
1
Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:
A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.
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.
A recipe for macaroni and cheese calls for 16 oz of shredded cheese the recipe serves two people jack wants to feed 7 people how many ounces of cheese should he use
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.
Which of the following is considered an asset?
Answer:
b car lone
Step-by-step explanation:
hope it helps
Which are the better statistics to use to compare the penguin heights?
Penguin Heights at Cityview Zoo
(in cm)
Penguin Heights at Park Zoo
(in cm)
OO
оооо
35 36 37 38 39 40 41 42 43 44 45
35 36 37 38 39 40 41 42 43 44 45
O A. Median and standard deviation
O B. Mean and standard deviation
C. Median and IQR
OD. Mean and IQR
SUB
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.
What is the slope of line p
You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes y you practice for the week is given by y=7(15+x), where x is the number of minutes you spend on practicing a new song. Solve the equation for x.
Answer:
x=(y-105)/7Step-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
Turn this into numerical form -> one-half the sum of x and 12
Answer: 1/2(x+12)
Step-by-step explanation:
Write an equation of the line passing through point P(4,−6) that is perpendicular to the line y=−3.
x=
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
Given the equation 9x - 3y = 27 in standard form. Show how you would convert the equation into slope-intercept form → y = mx + b.
Answer:
y=3x-9
Step-by-step explanation:
Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?
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)
I need help ASAP!!!!
Answer:
C
Step-by-step explanation:
P(x)=R(x)-C(x)
=-0.6x³+900x²-400x+700-(400x²+300x)
=-0.6x³+500x²-700x+700
write an equation in slope-intercept form for the graph shown (i will give brainliest whoever gets it right)
Answer:
y=-3x+2
Step-by-step explanation:
Help in this one please
7(n+4)=21 what is n?
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:
select the statement that is true.
0.688 0.602
0.688 = 0.602
0.602 > 0.688
Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
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
Complete the table and write the equation
x | y
? | 1.5
-1 | 4
0 | ?
3 | 9
15 | ?
Equation: y = ____ x + _____
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
Brady is currently repaying a college loan. Each month, the loan company automatically deducts $45 from his bank account. So far, Brady has been repaying his loan for 12 months. How much, in dollars, have the loan deductions affected his bank account after making 12 months of payments?
Answer:
-540 dollars
Step-by-step explanation:
-45*12= -540
1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4).
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 :)
Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct? Ivan only Polina only both Ivan and Polina neither Ivan or Polina
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:
what is
t ÷ -5 = -7 help
Answer:
4 +5 _7
Step-by-step explanation:
pic below................
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:
What is the value of -(-6) - 4
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
This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the 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?
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
Are the following ratios equivalent? Explain.
2:10
6:60
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
A mug contains 20 fluid ounces of coffee.
How many pints of coffee does the mug contain?
Enter your answer as a decimal in the box.
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!
Use the picture below please!!
Answer:
AB and BC are Skew
AE and BF are Parallel
Step-by-step explanation:
((-4)+(-5)+-1))/3 The / signs is division
Answer:-1 and 1/3
Step-by-step explanation:-4+-5=-9 -9+-1=-10 -10/3=-1 1/3