Given the following equation:
\(\frac{3}{4}=\frac{a}{36}\)You need to solve for "a" in order to find its value. You can do it applying the steps shown below:
1. You can apply the Multiplication property of equality by multiplying both sides of the equation by 36:
\(\begin{gathered} (\frac{3}{4})(36)=(\frac{a}{36})(36) \\ \\ \frac{108}{4}=a \end{gathered}\)2. Finally, you need divide the numerator 108 by the denominator 4. Then, you get the following result:
\(a=27\)The answer is: Option B and Option D.
Imani and Esteban each have the same audiobook club memberships. After listening to four audiobooks , whose book cost more?
First let's calculate the cost for Imani.
The membership is $10, and each book costs $5. If Imani listened to 4 books, the cost is:
\(\begin{gathered} \text{Cost}=10+4\cdot5 \\ \text{Cost}=10+20 \\ \text{Cost}=30 \end{gathered}\)Now let's calculate the cost for Esteban.
The membership is $16, and each book costs $2. If Esteban listened to 4 books, the cost is:
\(\begin{gathered} \text{Cost}=16+4\cdot2 \\ \text{Cost}=16+8 \\ \text{Cost}=24 \end{gathered}\)So Imani's cost is higher.
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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plz help I'll give 10 plz
Answer:
C. 8
Step-by-step explanation:
xy - 3x
x = 4 and y = 5
(4)*(5) - 3(4)
20 - 12 = 8
PLEASE HELP ME RN :(
The circumference of a circle is 257.48 centimeters. What is the circle's radius?
Answer:
40.9792147473
Step-by-step explanation:
The formula is very simple.
Circumference ÷ 2 × π
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Which sequence of transformations will verify that EFGH and quadrilateral EFGH and quadrilateral E'F'G'H are congruent?
Answer- D) EFGH moved onto E'F'G'H after rotating 180 counterclockwise around the origin and the reflecting across the y-axis.
D) EFGH moved onto E'F'G'H after rotating 180 counterclockwise around the origin and the reflecting across the y-axis.
How to carry out transformations?From online resources gotten about this question, for quadrilateral EFGH and quadrilateral E'F'G'H to be congruent, what we must do first is to rotate 180° counterclockwise around the origin and then move EFGH onto E'F'G'H'.
The last step to get this proof of congruency is to reflect across the y-axis.
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100 Points. Algebra question, photo attached. Graph the function. Describe its key characteristics. Thank you!
Answer:
Domain = (-∞, ∞) Range = (-∞, ∞)
End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞
Inflection Point: (2,0)
Step-by-step explanation:
PLEASE HELP THANK YOU HURRY FAST
1) Polynomial of 4 terms.
2) The rational roots of the function are,
x = - 2, 1
3) The zeroes of the function are,
x = - 2, - 3, 2
4) The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) The correct function which shows the cubic equation is, option 1.
We have to given that;
1) Function is,
⇒ 3x⁵ + 5x⁴ - 7x³ + 15
Clearly, There are 4 terms in function.
Hence, Polynomial of 4 terms.
2) Function is,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
The correct rational roots are satisfy the function,
Hence, We get;
Plug x = 1,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0
⇒ 0 = 0
Plug x = - 2;
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0
⇒ 0 = 0
Thus, The zeroes of the function are,
x = - 2, 1
3) Function is,
⇒ y = (x + 3) (x + 2) (x - 2)
Hence, The zeroes of the function are,
x = - 3
x = - 2
x = 2
4) Function is,
⇒ 3x² - 4 = - x⁴
⇒ x⁴ + 3x² - 4 = 0
⇒ x⁴ + 4x² - x² - 4 = 0
⇒ x² (x² + 4) - 1 (x² + 4) = 0
⇒ (x² - 1) (x² + 4) = 0
⇒ x² - 1 = 0
⇒ x² = 1
⇒ x = ±1
⇒ x² + 4 = 0
⇒ x² = - 4
⇒ x = ±2i
Hence, The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) By given graph the correct function which shows the cubic equation is, Option 1.
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A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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What is the result when -3x - 4 is subtracted from -4x - 3?
Pls help. .................................
A is the correct answer
Solve: look at the picture please
Answer:
No solution
I hope this helps!
PLEASE PLEASE HELP
Referring to the Fig. in Question #31, the spinner is divided
into equal parts. If you spin the spinner 100 times,
how many times do you expect it to stop on a number
less than 10?
Answer:
75 times
Step-by-step explanation:
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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Zenith Investment Company is considering the purchase of an office property. It has done an extensive market analysis and has estimated that based on current market supply or demand relationships, rents, and its estimate of operating expenses, annual NOI will be as follows:
Year NOI
1 $ 1,210,000
2 1,210,000
3 1,210,000
4 1,270,000
5 1,320,000
6 1,370,000
7 1,409,000
8 1,449,170
A market that is currently oversupplied is expected to result in cash flows remaining flat for the next three years at $1,210,000. During years 4, 5, and 6, market rents are expected to be higher. It is further expected that beginning in year 7 and every year thereafter, NOI will tend to reflect a stable, balanced market and should grow at 3 percent per year indefinitely. Zenith believes that investors should earn a 12 percent return (r) on an investment of this kind.
Required:
a. Assuming that the investment is expected to produce NOI in years 1 to 8 and is expected to be owned for seven years and then sold, what would be the value for this property today? (Hint: Begin by estimating the reversion value at the end of year 7. Recall that the expected IRP = 12% and the growth rate (g) in year 8 and beyond is estimated to remain level at 3%.)
b. What would the terminal capitalization rate (RT) be at the end of year 7?
c. What would the going-in capitalization rate (R) be based on year 1 NOI?
The value of the property at the end of year 7 is 15,324,111$. for a detailed answer read below.
What is NOI?The net operating income (NOI) formula determines a company's revenue after operating costs have been subtracted, but before interest and taxes have been subtracted.
The net operating income of the property is given for years 1 to 8 in the question. Z Corporation wants to own the property for seven years and then sell the property in the 8th year. The growth rate in NOI is 3%, and the expected return on property is 12%.
The value of the property today is the present value of all the cash flow that the property can earn in the future. The terminal value of the property is the reversion value at the end of the eighth year. Compute the terminal value as follows. The value of the property at end of year 7 is $15,324,111. The current value of the property is the present value of all the cash inflow in terms of net operating income and the terminal value. In order to compute the present value of all future cash flows using the “NPV” function of the spreadsheet.The discount rate utilized to account for the property's growth rate while calculating the terminal capitalization rate is the perpetual cash flow from the asset. It is the gap between the growth rate in NOI (Net Operating Income) over an endless period of time and the IRR (the needed rate of return of the investor). The percentage return an investor will get on the property's worth is known as the "going-in" capitalization rate. It is calculated by dividing the property's first year's NOI by the property's current value.When comparing properties, the "going-in" capitalization rate is deceptive and useless. This is due to the fact that it disregards the property's overall NOI throughout all years. The first year's net operating income is divided by the property's current market value to get the going-in cap rate based on first-year NOI. The going-in cap rate = first-year NOI / Current value of the property.The "going-in" capitalization rate should be calculated as follows: So, using first-year NOI as the basis, the cap rate is. 8.29%
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Help me please, I’m very confused on what to do
Just add the powers while it is multiply
-1+(-3)
= -1 - 3
= -4
So it is \(2^{-4}\)
(x-7y)(2x+7y)
use FOIL method!
The best example of a standardized good would be: a. a handbag. b. corn. c. an autographed baseball. d. breakfast cereal
Answer:
Corn
Step-by-step explanation:
Corn will be the best standarized food because it is the most useful out of all of them
for example: if the world ended right now and we were left with nothing but a single corn we could replant and replant this one corn to stabalize the world and develop quicker than sya if we have breakfast
In this triangle what is the value of x
Answer:
Step-by-step explanation:
error
Answer:
x ≈ 75.2
Step-by-step explanation:
using the tangent ratio in the right triangle
tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )
40 × tan62° = x , then
x ≈ 75.2 ( to the nearest tenth )
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Nayeli sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 217 visitors purchased no costume. 113 visitors purchased exactly one costume. 36 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443
Out of 217 visitors who came to Nayeli's website, none of them purchased a costume. Therefore, the number of visitors who may purchase a costume is 217 less than the total number of visitors:
Total visitors - No. of visitors who didn't purchase a costume = 217
Total visitors - 217 = No. of visitors who may purchase a costume
Total visitors = 113 + 217+36 = 336
Out of the remaining visitors, 113 purchased exactly one costume, and 36 purchased more than one costume. Therefore, the number of visitors who purchased one or more costumes is:
No. of visitors who purchased one or more costumes = 113 + 36 = 149
Therefore, the probability that the next person will purchase one or more costumes can be expressed as:
Probability = No. of visitors who purchased one or more costumes / Total visitors
Probability = 149 /336 = 0.443
The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443
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Answer:
Step-by-step explanation:
.44
Find the length of line segment KH if K(-1,2) and H(3,5). Round to the nearest tenth if needed
i think that that the answer is 13 Step-by-step explanation:
Find m2B in ABC if IZA = 85º and mC = 11°. 020
To determine angle B we need to remember that in a triangle the sum of interior angles is equal to 180°. Then we have that:
\(m\angle A+m\angle B+m\angle C=180\)Plugging the values of angles A and C we have that:
\(\begin{gathered} 85+m\angle B+11=180 \\ m\angle B=180-85-11 \\ m\angle B=84 \end{gathered}\)Therefore angle B=84° and the asnwer is option B
Certain types of songs tend to have a call-and-response structure because_________.
A. It can have many different sections
B. It is easy to remember and suitable for groups
C. Only very musical people can learn it
Certain types of songs tend to have a call-and-response structure because A. It can have many different sections
What is call and response?A call and response in music is a series of two independent phrases that are typically composed in separate portions of the piece, with the second phrase being heard as a direct remark or answer to the first.
Direct imitation between instruments, a questioning phrase and subsequent response, a statement of affirmation from one instrument to another, or variations on a direct call by a group of instruments are examples of call and response.
Therefore, certain types of songs tend to have a call-and-response structure because it can have many different sections
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Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest hundred dollars, would be in the account after 8 years?
Answer:
8500
Step-by-step explanation:
When compounded continuously the future value, FV , of your initial investment, PV , is determined with the the equation
\(FW = PV\) ×\(e^{rxt}\)
where r is the norminal interest rate, expressed as a decimal, and t is the investment period in years.
Plugin the values in this equation gives
\(FW = $7,500\) × \(e^{0.015x8} =$8,456.23\)
Round to nearest hundred dollars = 8500
if the earthquake has stronger magnitude what does it mean
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.
help me plz i promise i will mark brainliest
Answer:
The answer is A.
Step-by-step explanation:
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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what is the answer? pls help
Answer:
m = undefined
Step-by-step explanation:
m = 9 - 6 / 5 - 5
m = 3 / 0
m = undefined
Answer:
undefined
Step-by-step explanation:
Because x is constantly 5, it is a straight line going up and down. This type of graph has an undefined slope.
PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)
Identify the surface area of the composite figure to the nearest tenth.
Answer:
D.
Step-by-step explanation:
6a² = surface area for cube
6(5)² = 150
2\(\pi\)(r)(h)+2\(\pi\)r² = surface area cylinder
2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi
150 + 20pi = 212.8318531
g(x)
12 fy
10
88
8
6
4
4-3-2-12
-8
10
-1²1
f(x)
4 5 6 x
Which statement is true regarding the functions on the
graph?
Of(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
PLEASE HURRY IM TIMED!!!!
Answer: f(3) = g(6)
Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer
What is the value of p in the linear equation ? −4 −2 2 4
Answer:
p = -2
Step-by-step explanation:
O we have to solve this equation:
24p + 12 - 18p = 10 + 2p - 6
First, we will operate what we have in both sides:
24p - 18p + 12 = 10 - 6 + 2p
6p + 12 = 4 + 2p
We substract 2p in both sides and 12 too.
6p + 12 - 2p - 12 = 4 + 2p - 2p - 12
4p = -8
Now, we divide both sides by 4
4p/4 = -8/4
The value of p in the linear equation is -2
What is a linear equation?Linear equations are equations with constant rates
The equation is given as:
24p + 12 - 18p = 10 + 2p - 6
Collect like terms
24p - 18p -2p = 10 - 12 - 6
Evaluate the like terms
4p = -8
Divide both sides by 4
p = -2
Hence, the value of p in the linear equation is -2
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