The length of the side of cube is 8.5 inches.
What is volume of a cube?
A cube is a solid object that is three dimensional and has six square faces, facets, or sides, three of which meet at each vertex. One of the five Platonic solids, and the only regular hexahedron, is the cube. It consists of 8 vertices, 12 edges, and 6 faces.
The volume of a cube is a^3 cubic inches where a is the length of side of cube.
Give volume of a cube is 614.125 cubic inches.
Let the length of a side of cube is x inches.
Then volume of cube = x^3 cubic inches.
Now,
x^3 = 614.125
Finding cube root and we get
=> x^3 = 8.5 * 8.5 * 8.5
=> x = 8.5 inches
Therefore, the length of the side of cube is 8.5 inches.
To learn more about volume of a cube from the given link
https://brainly.com/question/19891526
#SPJ1
40 students participated in track. This was 5% of the students at the school. How many students attend the school?
Answer: 800 students
If there are 40 students who participated and that's 5% of the entire school. 100% of the entire school would be 800.
7. What is the domain of the relation? y у O D = (-4,00) OD = (-0,4) O D = (0,00 OD = (-4,5)
The domain of a function is the value x that varies.
here x is varying from -4 and it is going to infinity
so the answer is
the domain for the given graph is
[tex]D=(-4,\infty)[/tex]So the answer is option (A).
Ross is saving up to buy a new car. he has been saving for 12 months and so far he has $3,200.in another 12 months, he expects to have $8,000.how much is ross saving each month during his 2nd year saving?
Answer:
$400
Step-by-step explanation:
For the first 12 months, he saved
3200/12
= $266.7 each month
In another 12 months,
= $3,200 + x = $8000
(Use x as the unknown total money)
= 8000 - 3200
= 4,800
So, in another 12 months, his total savings will be $4,800
For each month,
= 4,800/12
= $400
Given the slope and y-intercept of the line, write the equation in slope-intercept form. Slope = -2/5 and y-intercept = 3
Answer:
Below
Step-by-step explanation:
Slope-y-axis -intercept form is y = mx + b
y = - 2/5 x + 3 Done.
A recent study of business travelers claims they spend an average of $41.00 per day on meals. As a test of this claim, a random sampling of 16 business travelers found they had spent an average of $45.00 per day with a standard deviation of $3.65. What are the critical values for a two-tailed t test of this claim with α = 0.05?Question 19 options:± 2.120± 2.131± 1.753± 1.746
The critical values for a two-tailed t test of this claim is ± 2.131.
From the question, we have
The null and alternative hypothesis are listed below. u = 41
Additional Hypothesis: 41
Region of Rejection
This test has two tails, with = 0.05 and df = 15.
T has a critical range between -2.131 and 2.131.
Therefore, if t =-2.131 or t =2.131, reject H0.
Hypothesis:
In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings.
To learn more about hypothesis visit: https://brainly.com/question/17173491
#SPJ9
Shawn’s weekly salary is $978.25. His employer is changing the pay period to semimonthly. What is Shawn’s annual salary? What will his semimonthly salary be?
Answer:
Annual Salary: $50,869
Semimonthly Salary: $1,956.50
Step-by-step explanation:
Semimonthly: Occurs twice a month
52 weeks in a year times weekly salary
978.25 x 52= 50,869
978.25 x 2= 1,956.50
Use the table below to determine whether the argument is valid. TableI start to fall asleep if I read a math book. I drink soda whenever I start to fall asleep. If I drink a soda, then I must eat a candy bar. Therefore, if I read a math book, then I eat a candy bar.The argument is _____________
Okay, here we have this:
Considering the provided information, we obtain the following:
I read a math book. (p)
I start to fall asleep (q)
I drink soda (r)
I must eat a candy bar. (s)
Therefore:
I start to fall asleep if I read a math book. This can be rewritten as: "if I read a math book then I start to fall asleep". And this is p⇒q.
I drink soda whenever I start to fall asleep. This can be rewritten as:"if I start to fall asleep then I drink soda" . And this is q⇒r.
If I drink a soda, then I must eat a candy bar. And this is r⇒s
Now, we need to check: "If I read a math book, then I eat a candy bar.". That is p⇒s.
So, according with the table this argument satisfy the Transitive Reasoning, so this means that the argument is valid.
solving inequalities in real life 5. Dennis is selling chocolate bars for a fundraiser, and if he sells over $175 worth of candy, he'll win a prize. If chocolates sell for $2.50 a bar, and Dennis has already sold $40 worth of candy, then how many more bars does he have to sell in order to win a prize? 6. The a roller-cod inches ta grows ab months w coaster?
Start by putting the inequality in the form
[tex]ax+c>d[/tex]in this case c wil be how much he has sold, and d will be how much he needs to sell, and a is the price for the bar.
it would look like this
[tex]2.5x+40>175[/tex]solve it like a regular equation
[tex]\begin{gathered} 2.5x>175-40 \\ 2.5x>135 \\ x>\frac{134}{2.5} \\ x>54 \end{gathered}[/tex]He will have to sell over 54 bars to win the prize.
Assessment Practice
Find 3,384 ÷ 47. How can you check the
reasonableness of your answer? 5.NS0.2.2
exact answer.
Think about all the ways
you can estimate.
The division of 3384 by 47 will give 72 and some ways for checking the reasonableness of solutions include rounding numbers, making numbers compatible, and using characteristics of operations.
What is division?A technique of division is a means of dividing something. The division techniques are classified into three groups based on their complexity degree. These are the chunking method, also known as division by repeated subtraction, the short division method, sometimes known as the bus stop method, and the long division method.
Here,
3384/47=72
Some strategies for determining the reasonableness of answers include rounding numbers, making numbers compatible, and using properties of operations.
Rounding numbers, making numbers compatible, and utilising features of operations are some methods for determining the reasonableness of answers. The division of 3384 by 47 will give 72.
To know more about division,
https://brainly.com/question/3315095?referrer=searchResults
#SPJ1
Answer:
Eating Is importnat
Step-by-step explanation:
Hello me is cool man i am good at math 2-1=110 so ye hello bye
Find the coefficient of the term x^5 in 2x^5+5x^4-9x+5
Solution:
Given:
[tex]2x^5+5x^4-9x+5[/tex]A coefficient is a number multiplied by a variable.
Hence,
[tex]The\text{ coefficient of }x^5\text{ is 2}[/tex]Therefore, the coefficient is 2.
Solve the following proportion
X/2 = 8/9
−2×(−6)=?[tex]−2×(−6)=?[/tex]
When -2 is multiplied by (-6) the result is 12
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication.
Multiply in mathematics refers to the continual addition of sets of identical size.
When negative signs multiply each other the result is a positive sign also when positive signs multiply each other the result is a positive sign
However, when the signs are not same the result is always negative
In the given problem, the signs are same like negative 2 and negative 6
hence the result is a positive sign
and the quantity 2 multiply the quantity 6 gives 12
therefore -2 * -6 = 12
Learn more about multiplication here:
https://brainly.com/question/28768606
#SPJ1
Brainliest and 30 points
Determine which integers in the set S:{−2, 2, 12, 24} make the inequality 4(j − 2) > 4(6 − 3j) true.
{12 , 24} are the integers from the set S which makes the inequality 4(j − 2) > 4(6 − 3j} true.
Inequality are those mathematical expression where both the sides are not equal . Instead of equality sign , we use less than or greater than sign.
Given inequality is
4(j − 2) > 4(6 − 3j}
open the brackets ,
4j − 8 > 24 − 12j
bring right terms on left side,
4j − 8 - 24 + 12j > 0
adding j terms,
16j - 32 > 0
16j >32
j > 32/16
j > 2
Integers making inequality true should be greater than 2
From set S: {-2 , 2, 12, 24}
{12 , 24 } are integers that makes inequality 4(j − 2) > 4(6 − 3j) True .
To know more about Inequality here
https://brainly.com/question/20383699
#SPJ1
Drag each number from the box to complete the equations that follow. Each number may be used once,more than once, or not at all.12894(36:)--(36:= 5X3)-= 12
Notice that:
[tex]\begin{gathered} 5=9-4, \\ 36\div4=9, \\ 36\div9=4. \end{gathered}[/tex]Therefore:
[tex]5=9-4=36\div4-36\div9.[/tex]Also, notice that:
[tex]3\times8=24=12+12.[/tex]Therefore:
[tex]12=12+12-12=3\times8-12.[/tex]Answer:
[tex]\begin{gathered} (36\div4)-(36\div9)=5, \\ (8\times3)-12=12. \end{gathered}[/tex]Billie opened a savings account, which pays 3% intrest per year. If she had a balance of $14,935 after one year, how much was her original deposit?
Answer: 27.50
Step-by-step explanation:
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (5,-1) Midpoint: (5,-4)
The formula for calculating the midpoint of a line segment is given below
[tex](x,y)=\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}[/tex]Where the values are
[tex]\begin{gathered} x=5,y=-4 \\ x_1=5,y_1=-1 \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} (x,y)=\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2} \\ (5,-4)=\frac{(5_{}+x_2)}{2},\frac{(-1_{}+y_2)}{2} \end{gathered}[/tex]By comparing coefficient, we will have
[tex]\begin{gathered} \frac{(5_{}+x_2)}{2}=5 \\ \frac{(-1_{}+y_2)}{2}=-4 \end{gathered}[/tex]Cross multiply to get the values of x2
[tex]\begin{gathered} \frac{(5_{}+x_2)}{2}=5 \\ 5+x_2=10 \\ \text{substract 5 from both sides} \\ 5-5+x_2=10-5 \\ x_2=5 \end{gathered}[/tex]Cross multiply to get the values of y2
[tex]\begin{gathered} \frac{(-1_{}+y_2)}{2}=-4 \\ -1+y_2=-8 \\ \text{add 1 to both sides} \\ -1+1+y_2=-8+1_{} \\ y_2=-7 \end{gathered}[/tex]Hence,
The coordinate of the other endpoint is ( 5, -7 )
Write an equation and solve for mm degree 37 degree
37 degrees plus m mus equal 90 degrees; therefore, the equation that m must satisfy is
[tex]m+37=90[/tex]subtracting 37 from both sides of the equation gives us
[tex]m=90-37[/tex][tex]\textcolor{#FF7968}{\therefore m=53^o}[/tex]Ravi makes lemonade by mixing lemon juice and water.
For every 1 cup of lemon juice, he uses 4 cups of water.
We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.
We know that the lemonade recipe is:
1 cup of lemon juice and 4 cups of water.
This gives us a total of:
1 cup + 4 cups = 5 cups of lemonade.
Then if we want 10 cups of lemonade, we just need to use the double of each one of the ingredients.
this is:
2*(1 cup) = 2 cups of lemon juice
2*(4 cups) = 8 cups of water.
We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.
If you want to learn more about multiplication, you can read:
brainly.com/question/19777343
#SPJ1
A swimming pool is being filled with a hose. The hose fills the pool at a constant rate. The pool's water level rose 9 inches in 12 hours. What was the rate per hour of the water level change?
The rate per hour of the water level change will be 0.75 inches/hour.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables. It is also used to find the unit rate for many conditions.
It is given that, A swimming pool is being filled with a hose. The hose fills the pool at a constant rate. The pool's water level rose 9 inches in 12 hours.
The unit rate is obtained as,
=9 inches / 12 hours
=0.75 inches/hour.
Thus, the rate per hour of the water level change will be 0.75 inches/hour.
Learn more about the rate of change here:
brainly.com/question/12786410
#SPJ1
The perimeter of a
rectangular park is 640 yards.
The length of the rectangle is 40
yards less than twice the width.
What are the dimensions of the
park?
The dimensions of the rectangular park are 200 yards by 120 yards.
We have a park. The shape of the park is a rectangle. The perimeter of the rectangular park is 640 yards. We know that the length of the rectangle is 40 yards, less than twice its width. We need to find the dimensions of the rectangular park.
Let the perimeter, length, and width of the rectangle be represented by the variables "P", "l", and "b", respectively. The perimeter of the rectangle is twice the sum of its length and width.
l = 2b - 40
P = 2*(l + b)
640 = 2(2b - 40 + b)
320 = 3b - 40
3b = 360
b = 120
Hence, the width of the rectangular park is 120 yards. We will substitute this value in the above equation to find the length.
l = 2b - 40
l = 2(120) - 40
l = 240 - 40
l = 200
Hence, the length of the rectangular park is 200 yards.
To learn more about dimensions, visit :
https://brainly.com/question/20700814
#SPJ1
$14,929 is invested, part at 9% and the rest at 6%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 6% by $1139.91, how much is invested at each rate? Round to two decimal places if necessary
Let x be the amount invested at 9% and y the amount invested at 6%.
Then we have:
I) x + y = $14,929
II) 0.09x - 0.06y = $1,139.91
First, we multiply equation II by 100:
9x - 6y = $113,991
Now, we add to it 6 times equation I:
15x = $203,565
x = $13,571
Now, we replace x in equation I to find y:
$13,571 + y = 14,929
y = $1,358
jack weighs 13 more pounds than his brother andy if a expression to represent jackd weight.
When we are told that the weight of Jack is 13 pounds more than the weight of his brother this means that the weight of Jack (y) is the weight of his brother (x) plus 13 pounds, then we can express Jack weight with the equation:
y=x+13
The equation for line j can be written as y= 1/8 x+7. Parallel to line j is line k, which passes through the point ( – 3, – 1). What is the equation of line k?
Answer:
please help I need thos answer too
Step-by-step explanation:
I wish I knew the answer to this I have 20 mins to be dont and I've already spend 10 on this question
what is the answer to 3v²/v
Answer:
3v
Step-by-step explanation:
When we are dividing two terms with the same base and different exponents, we keep the base and subtract the exponents. So
[tex]\frac{3v^2}{v}=3v^{2-1}=3v[/tex][tex]undefined[/tex]Which comparison is true?
A. 0.680 > 0.68
B. 0.74 = 0.740
C. 0.51 < 0.510
D. 0.990 < 0.99
Answer:
The answer is B
Aliyah left the airport and traveled home at an average speed of 40 km/h.
Shanice left at the same time and traveled in the opposite direction with an
average speed of 60 km/h. How long does Shanice need to travel before they are
300 km apart?
Answer:
3 hoursStep-by-step explanation:
When moving in opposite directions from the same point the speeds add up.
Total speed:
60 + 40 = 100 km/h
Distance is 300 km, find the time.
time = distance / speedt = 300/100t = 3 hoursAnswer:
Time = 3 hours
Step-by-step explanation:
The total speed is,
→ 40 km/h + 60 km/h
→ 100 km/h
Formula we use,
→ v = d/t
Then the time taken will be,
→ v = d/t
→ 100 = 300/t
→ 100 × t = 300
→ t = 300/100
→ [ t = 3 ]
Hence, answer is 3 hours.
at a grocery store, the ratio of a price of dozen eggs is the price of a loaf of bread is 5:3 together dozen eggs in a loaf of bread cost $4 what is the price of the loaf of bread in dollars and cents
Answer:
The price of a loaf of bread in dollars and cents is;
[tex]\begin{gathered} \text{ \$1.50} \\ or \\ 1\text{ dollar and 50 cents} \end{gathered}[/tex]Explanation:
Given that;
The ratio of a price of dozen eggs is the price of a loaf of bread is 5:3
And together dozen eggs and a loaf of bread cost $4.
The price of a loaf of bread in dollars and cents is;
[tex]\begin{gathered} b=\frac{3}{3+5}\times\text{ \$4} \\ b=\frac{3}{8}\times\text{ \$4} \\ b=\frac{\text{ \$12}}{\text{8}} \\ b=\text{ \$1.50} \\ \end{gathered}[/tex]The price is the ratio of a loaf of bread divided by the total ratio multiplied by the total cost of the two items.
Therefore, the price of a loaf of bread in dollars and cents is;
[tex]\begin{gathered} \text{ \$1.50} \\ or \\ 1\text{ dollar and 50 cents} \end{gathered}[/tex]what is the slope of a line that is perpendicular to 3x+4y=6?
Answer:
4/3
Step-by-step explanation:
3x + 4y = 6
4y = -3x + 6
y = -3/4 x + 3/2
For the given line: slope = -3/4
The slopes of perpendicular lines are negative reciprocals.
Perpendicular: slope = 4/3
150 is 15% of what number?
If 150 is the 15%, to find which number is the 100% we use the rule of 3
[tex]\begin{gathered} x\to100 \\ 150\to15 \end{gathered}[/tex]and the rule say that:
[tex]\begin{gathered} x=\frac{100\times150}{15} \\ x=1000 \end{gathered}[/tex]Write an explicit formula for a_na
nthe n^{\text{th}}n
th
term of the sequence 8, 4, 2, ...8,4,2,....
The explicit formula of the sequence is aₙ = 8(1/2)ⁿ
How to determine the explicit formula of the sequence?From the question, we have the following sequence that can be used in our computation:
8, 4, 2
In the above sequence, we can see that the previous term is divided by 2 get the current term
using the above as a guide,
so, we have the following representation
aₙ = aₙ₋₁/2
When represented explicitly, we have
aₙ = a * rⁿ
So, we have
aₙ = 8 * (1/2)ⁿ
Evaluate the products
aₙ = 8(1/2)ⁿ
Hence, the explicit formula is aₙ = 8(1/2)ⁿ
Read more about sequence at
https://brainly.com/question/7882626
#SPJ1