The equation that can be used to calculate the base areas of the rectangular prisms is B = V/6
Calculating the equation can be used to find B, the area of the base with volume VFrom the question, we have the following parameters that can be used in our computation:
Volume of rectangular prisms
The volume of rectangular prisms is calculated as
V = Bh
Where
B = Base area
h = height
Given that
h = 6 inches,
We have
V = B * 6
Divide both sides by 6
B = V/6
This means that the the equation to calculate the base areas is B = V/6
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Complete question
Mr. James is teaching his studens about the volume of rectangular prisms.He has various rectangular prisms with a height of 6 inches
Which equation can be used to find B, the area of the base with volume V
Answer the following questions based on the spinner below.
Find P(5) as a fraction.
Find P(number > 2) as a percentage. %
The values of the probabilities are P(5) = 1/8 and P(Number > 2) = 75%
How to calculate the values of the probabilitiesFrom the question, we have the following parameters that can be used in our computation:
The spinner
There are 8 sections on the spinner
So, we have
Section = 8
One of the sections is 5
So, we have
P(5) = 1/8
There are 6 sections greater than 2
So, we have
P(Number > 2) = 6/8
Evaluate
P(Number > 2) = 75%
Hence, the probabilities are 1/8 and 75%
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6=a/4+2. This is a two step equation
Answer:
Step-by-step explanation:
6 = a / 4 + 2
=> 6 - 2 = a / 4 + 2 - 2
=> 4 = a / 4
=> a = 16
Answer:
a = 16
Step-by-step explanation:
[tex]6=a/4+2[/tex]
[tex]6(-2)=a/4+2(-2)[/tex]
[tex]4=a/4[/tex]
[tex]4(4)=(a/4)(4)[/tex]
[tex]16=a[/tex]
[tex]a=16[/tex]
The owner of the course asks you to provide a scale drawing of the green section he requested that you use the length of the legs of the right triangle found in the previous step use the connect line tool to draw your green section in the grid.
The area of gs : 48.67
Length of one leg : 3.21
Length of other leg : 10.5
Length of other leg 12
Based on the information given, it should be noted that the length of other leg 12.
How to calculate the lengthsBased on the information, the owner of the course asks you to provide a scale drawing of the green section he requested that you use the length of the legs of the right triangle.
Based on the information, 1/2ab = 54
1/2 × 4/3b² = 54
b² = 81
b = ✓81
b = 9
a will be
= 4/3 × 9
= 12 feet.
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Find the value of x.
48°
126°
Answer:
78°
Step-by-step explanation:
angle on a straight line : 180° - 126° = 54°
Therefore, 48° + 54° = 102°
total angle in a triangle = 180°
So, 180° - 102° = 78°
The graph below represents the cost (C), in dollars, of green squash at a grocery store based on the number of pounds (p).
The cost per pound of green squash at a local farmers market is half the cost per pound of green squash at the grocery store. Select the equation that represents the cost of green squash at the local farmers market.
A
C = 6.00p
B
C = 3.00p
C
C = 1.50p
D
C = 0.75p
An equation that represents the cost of green squash at the local farmers market include the following: C = 1.50p.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
c = kp
Where:
c represents the cost in dollars.p represents the number of pounds.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:
Constant of proportionality, k = c/p
Constant of proportionality, k = 15/10
Constant of proportionality, k = $1.5 per pounds.
Therefore, the required linear equation is given by;
c = kp
c = 1.50p
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Please Help me I have RSM tomorrow and I have to finish my homework. Thanks.
The graph represents the closing price per share of stock for a company each day for 28 days. What variable is represented on the horizontal axis? In the first week, was the stock price generally increasing or decreasing? During which period did the closing price of the stock decrease for at least 3 days in a row?
In the graph, the closing price per share of stock for a company is represented each day for 28 days. After analyzing the graph, the variable which is represented on the horizontal axis is days and the stock price generally increasing in the first week. The closing price of the stock decrease for at least 3 days in a row during day 7 to day 10.
The graph represents the closing price per share of stock for a company each day for 28 days. That's the number of days in the first week. So days is the variable represented in the horizontal axis.
In the first seven days, the graph is basically going up, and then it gets slower and then it's going up. So it's increasing the entire time. Not at the same rate, but it's increasing.
From day 7 to day 10, the closing price of the stock was decreasing three days in a row.
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Suppose we want to choose 2 letters, without replacement, from the 3 letters A,B and C How many ways can this be done, if the order of the choices is taken into consideration? How many ways can this be done, if the order of the choices is not taken into consideration? Please help
The number of ways to choose the letters is given as follows:
Order matters: 6 ways.Order does not matter: 3 ways.How to obtain the number of ways to choose the letters?First we must decide which formula to use, depending if the order matters, as follows:
Order matters: permutation formula.Order does not matter: combination formula.The number of possible permutations of x elements from a set of n elements is given by:
[tex]P(n,x) = \frac{n!}{(n-x)!}[/tex]
Hence, if the order matters, the number of ways is given as follows:
P(3,2) = 3!/(3 - 2)! = 6.
The combination formula is given as follows:
[tex]C(n,x) = \frac{n!}x!{(n-x)!}[/tex]
Hence, if the order does not matter, the number of ways is given as follows:
C(3,2) = 3!/(2! x 1!) = 3.
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You realize that, despite what you expected, the soda actually tastes different depending on which flavor you choose first, second, etc. With this in mind, how many different sodas can you make if repetition is not allowed? Show your work and leave your answer in exponential or factorial form.
The number of different sodas that can be made is given by "n!" or factorial form.
If the soda tastes different depending on the order in which the flavors are chosen, we can calculate the number of different sodas that can be made without repetition using the concept of permutations.
Let's assume we have "n" different flavors of soda available. To calculate the number of different sodas we can make, we need to find the number of permutations of "n" flavors taken "r" at a time, where "r" is the number of flavors we want to choose for each soda.
The formula to calculate permutations is given by:
P(n, r) = n! / (n - r)!
Here, "n!" represents the factorial of "n," which is the product of all positive integers less than or equal to "n."
In this case, if repetition is not allowed, each soda can have only one flavor. Therefore, we have "r = 1" for each soda.
Applying the formula, we have:
P(n, 1) = n! / (n - 1)!
= n! / (n - 1)
= n
Hence, the number of different sodas that can be made without repetition is "n."
Therefore, the number of different sodas that can be made is given by "n!" or factorial form.
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18
6+5e-0.1x
Let f(x) =
What is f(6)?
Enter your answer in the box rounded to the nearest tenth.
The value of function for x = 6 is f(6) = 2.1
Given that f(x) = [tex]18 / [ 6 + 5^{e-0.1x ][/tex]
We have to find the value of this function at x = 6.
f(6) =
[tex]18 / [ 6 + 5^{e-0.1 * 6} ] \\ \\ = 18 / [ 6 + 5^{e-0.6} ][/tex]
≈ 2.1
Therefore, f(6) = 2.1
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Answer:
2.1
Step-by-step explanation:
A triangle has one angle that measures 56° and one angle that measures 63⁰.
The measure of the triangle's third angle is
degrees.
The solution is
Answer:
61
Step-by-step explanation:
triangles add up to 180
56+63 is 119
180-119 to find the missing angle is 61
hope this helped
10) Lisa recorded the shoe sizes of some of her teammates on
the basketball team. The results are given below. Which shoe sizes will only have one dot if the data is recorded on a line plot?
The shoe sizes that will only have one dot are 5 1/2, 7, 8 and 10 1/2
Identiying the shoe sizes that will only have one dotFrom the question, we have the following parameters that can be used in our computation:
The record of shoe sizes
From the data values, we have the following shoe sizes that appear once
5 1/2, 7, 8 and 10 1/2
These are the data values that will have only one dot if the data is recorded on a line plot
Hence, the shoe sizes that will only have one dot are 5 1/2, 7, 8 and 10 1/2
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BRAINLIEST
Write the equation for the translation of the graph of ( brackets = absolute value ) y=[2x+7] one unit to the left.
Answer:
y = |2x +9|
Step-by-step explanation:
You want the equation that will translate the graph of y = |2x +7| one unit to the left.
Horizontal translationTo translate the graph of f(x) by h units to the right, you want to replace x with x-h:
f(x-h) . . . . translates f(x) by h units to the right
ApplicationHere, we want a translation by 1 unit to the left, which is -1 unit to the right. This means we want to replace x in the function by (x -(-1)) = (x +1). Doing that gives ...
y = |2(x +1) +7)| = |2x +2 +7|
y = |2x +9|
The attachment shows the graphs.
#95141404393
Which linear equation shows a proportional relationship
Y=4
Y= 1/2 x
Y = 2x + 3
Y = -3/2 x -1
The equation that represents a proportional relationship
[tex]\[Y = \frac{1}{2}x\][/tex]
In a proportional relationship, the dependent variable (Y) is directly proportional to the independent variable (x). This means that as x increases or decreases, Y changes in a consistent ratio or fraction. In this equation, the ratio or fraction is [tex]\(\frac{1}{2}\)[/tex], indicating that for every unit increase in x, Y increases by [tex]\(\frac{1}{2}\)[/tex] units.
Let's break down the equation:
[tex]\(Y\)[/tex] represents the dependent variable, and it varies linearly with respect to the independent variable [tex]\(x\).[/tex]
The equation states that the value of Y is equal to [tex]\(\frac{1}{2}\)[/tex] times the value of [tex]\(x\).[/tex]
For example, if we have [tex]\(x = 4\)[/tex], we can substitute it into the equation to find the corresponding value of Y:
[tex]\[Y = \frac{1}{2}(4) = 2\][/tex]
So, when [tex]\(x\)[/tex] is 4, [tex]\(Y\)[/tex] is 2. This satisfies the proportional relationship because the ratio [tex]\(\frac{Y}{x}\)[/tex] remains constant at [tex]\(\frac{1}{2}\).[/tex]
Similarly, if we have [tex]\(x = -6\)[/tex], we can substitute it into the equation:
[tex]\[Y = \frac{1}{2}(-6) = -3\][/tex]
Therefore, when [tex]\(x\)[/tex] is -6, [tex]\(Y\)[/tex] is -3. Again, the ratio [tex]\(\frac{Y}{x}\)[/tex] remains constant at [tex]\(\frac{1}{2}\)[/tex].
Hence, the equation [tex]\(Y = \frac{1}{2}x\)[/tex] represents a proportional relationship where Y is directly proportional to x with a constant ratio of [tex]\(\frac{1}{2}\)[/tex].
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Enterprise,a car rental company charges $40 per day to rent a car and $.50 per mile. Hertz charges $20 per day and $0.75 per mile. At what number of miles do both companies charge the same for a 1 day rental? ASAP PLS
NO LINKS!! URGENT HELP PLEASE!!!
8. Scott invested $1,600 into a retirement account that earns 2.4% interest compounded monthly. What will the balance of the account be after 30 years?
9. Kaylee used her graduation to set up a savings account that earns 3.4% interest compounded weekly. If the original amount deposited was $500, how much interest will she have earned after 10 years?
Answer:
8) $3,284.73
9) $202.40
Step-by-step explanation:
To solve both these problems, we can use the formula for compound interest:
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Question 8Given values:
P = $1,600r = 2.4% = 0.024n = 12 (monthly)t = 30 yearsSubstitute the given values into the formula and solve for A:
[tex]A=1600\left(1+\dfrac{0.024}{12}\right)^{12 \cdot 30}[/tex]
[tex]A=1600\left(1+0.002\right)^{360}[/tex]
[tex]A=1600\left(1.002\right)^{360}[/tex]
[tex]A=3284.730430...[/tex]
[tex]A=3284.73[/tex]
Therefore, the balance of Scott's account after 30 years will be $3,284.73.
[tex]\hrulefill[/tex]
Question 9Given values:
P = $500r = 3.4% = 0.034n = 52 (weekly)t = 10 yearsSubstitute the given values into the formula and solve for A:
[tex]A=500\left(1+\dfrac{0.034}{52}\right)^{52 \cdot 10}[/tex]
[tex]A=500\left(1.000653846...\right)^{520}[/tex]
[tex]A=702.3957509...[/tex]
[tex]A=702.40[/tex]
Therefore, the balance of the account after 10 years will be $702.40, which includes both the principal and the interest.
To find the amount of interest earned, subtract the principal:
Interest earned = $702.40 - $500 = $202.40
Therefore, Kaylee will have earned $202.40 in interest after 10 years.
Question 2 of 10
Which expressions are equivalent to the one below? Check all that apply.
3x
□ A. 15²
B. 3.3X-1
□ C. (¹5) 2
☐ D. X³
E. 3.3x+1
OF. 15
Answer:
B , C and F
Step-by-step explanation:
Simplify Square root of x^2-8x+16 if x<4
a customer bought one science book and for math books the customer spend At most a $126 the science book costs $30 write an inequality that represents the cost of one math book show how you determine your answer
What is 71% of 1,000
Answer:
710
Step-by-step explanation:
A curve C and a straight-line L have respective equations.
y=〖2x〗^2- 6x+5
and
2y+x=4
Find the coordinates of the points of intersection between C and L. Given that the line L is parallel to the line P passing through the points of intersection. Find the equation of line P.
There are no intersecting points.
The given equations are
y = (2x)² - 6x+5 ....(i)
2y + x =4 ....(ii)
Since we know that,
Degree of equation (i) = 2
Therefore,
equation (i) is a quadratic equation.,
And equation (ii) has degree 1,
So it is a equation of line,
To find the intersection,
First of we have to plot both graphs,
Then find the coordinate of the intersection of the given line and curve.
After plotting graph,
We can see that,
The given curve and line are not intersecting,
Therefore,
There are no intersecting points.
Hence we can not find the required equation of line.
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Complete the table of values for the equation 6x + 4y = 24.
Answer:
x=0, y=6
x=4, y=0
x=8, y=-6
Step-by-step explanation:
6x + 4y = 24
6(0) + 4y = 24
y = 6
So x=0, y=6
y=0
6x+4y=24
6x+4(0)=24
6x=24
x=4
When x=4, y=0
x=8
6x+4y=24
6(8) + 4y = 24
48 + 4y = 24
4y = 24-48
4y = -24
y = -24/4
y = -6
When x = 8, y = -6
The P(tossing a head) is 50%. Ann tossed a coin 100 times. It landed on heads 40 times. Did the
experimental match the theoretical probability?
The experimental probability did not match the theoretical probability.
How to find the experimental probability ?The experimental probability is the chance that is determined from the real results of an experiment or event. It is based on practical observations or information, rather than a mathematical expression.
The theoretical probability is the chance that is worked out using a mathematical equation founded on the assumptions and situations of the event or experiment.
The experimental probability of landing on heads :
= 40 / 100
= 40 %
The theoretical probability is 50 % which means the experimental and theoretical did not match.
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what is 1000 - 5000 +7
Answer:
-3993
Step-by-step explanation:
What is the value of
O
O
O
O
81
16
16
81
16
81
81
16
(3)*₂
?
The solution of the expression, [tex](\frac{2}{3} )^{-4}[/tex] is 81 / 16.
How to solve an exponential expression?An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as multiplication, subtraction, addition etc.
Therefore, lets solve the expression as follows:
[tex](\frac{2}{3} )^{-4}[/tex]
Using exponential laws,
b⁻¹ = 1 / b
Let's apply the law to the expression as follows:
[tex](\frac{2}{3} )^{-4} = \frac{1}{(\frac{2}{3})^{4} }[/tex]
Therefore,
1 ÷ (2 / 3)⁴ = 1 × (3 / 2)⁴ = 3⁴ / 2⁴
Finally,
3⁴ / 2⁴ = 81 / 16
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The common ratio of a geometric sequence is 1.5 and the sum of the first seven terms is 64.34375. Find the value of the first term.
The first term of the geometric progression has the value a1 = 2.
Let r = 1.5 be the common ratio of the GP given the data.
Now, the first seven terms added together equal 64.34375.
where Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
On simplifying , we get
64.34375 = a ( 1.5⁷ - 1 ) / ( 1.5 - 1 )
On simplifying , we get
64.34375 = 2a ( 1.5⁷ - 1 )
2a = 64.34375 / 16.0859375
2a = 4
Divide by 2 on both sides:
a = 2
Consequently, a = 2 is the first term of the GP.
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The daily temperatures in fall and winter months in Virginia have a mean of 62o F. A meteorologist in southwest Virginia believes the mean temperature is colder in this area. The meteorologist takes a random sample of 30 daily temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature for the sample is 59oF with a standard deviation of 6.21oF. Do the data provide convincing evidence at the Alpha = 0.05 level that the mean temperature in fall and winter months in southwest Virginia is less than 62o F?
What is the test statistic for this significance test?
z = 2.65
t = 2.65
z = –2.65
The correct test statistic for this hypothesis test is t = -2.88, not z = -2.65 or z = 2.65.
To perform a hypothesis test, we start by stating the alternative hypotheses:
H0: μ = 62 (the population temperature is 62 degrees F)
Ha: μ < 62 (the population temperature is less than 62 degrees F)
X is the sample temperature, μ is the population temperature, s is the sample standard deviation, and n is the sample size.
Plugging in the values, we get:
t = (59 - 62) / (6.21 / √(30)) = -2.88
Finally, we compare the test statistic to the critical value from the t-distribution with n - 1 f and an alpha level of 0.05. Since the alternative hypothesis is one-tailed (μ < 62), we use a one-tailed test and look up the critical value for a t-distribution with 29 f and an alpha level of 0.05. The critical value is -1.699.
Since the test statistic of -2.88 is smaller than the critical value of -1.699, we reject the null hypothesis and conclude that there is convincing evidence at the alpha = 0.05 level that the temperature in fall and winter months in southwest is less than 62 degrees F.
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6. For each expression, write an equivalent expression by applying the distributive
property.
a. (y + 4)(y + 7)
b. (y + 3)(3-5)
c. (v - 6)²
pq+7/2=n, solve for p
The equation subject to p is P = (n - 7/2)/q.
To solve for p, we need to isolate it on one side of the equation.
Starting with:
Pq+7/2=n
Subtract 7/2 from both sides:
Pq = n - 7/2
Divide both sides by q:
P = (n - 7/2) / q
Therefore, the solution for p is:
P = (n - 7/2) / q
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I'LL MARK BRAINLIST FOR BEST ANSWER
(10 POINTS)
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
k^2 − 28k + ____