please help will mark brainlist <3

The unit rate among these for the better values is: 0.25

What further instances of unit rates can you give?

These are a few illustrations of unit rates :The distance travelled in one hour is measured in miles per hour (mph); the price of an item is measured in pounds; and the price of an electrical kilowatt-hour is measured in kWh.

- Price per gallon - the price of a liquid per gallon.

The quantity of calories in one serving of food is known as the "calories per serving."

Now , divide the price by the weight to obtain the unit rate.

The unit rate for the first choice is:

2.50 / 10 = 0.25

The unit rate for the second choice is:

3.65 / 14 = 0.26

Due to its lower unit rate, the first choice is therefore more advantageous.

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Answer:

B=-2

Step-by-step explanation:

Answer:

f(3)=5. Explanation: Simply substitute the value of 3 given. In other words, f(3) is the function of f(x) , however, in this case, x is 3. f(3)=3(3)−4. Distribute 3 through

Answer:

see explanation

Step-by-step explanation:

used formulla: s=d/t

or St =d

or t=d/s.

speed(s) = 10km/hr =2.78m/s

distance(d) = 4 km = 4000m

time(t) = ?

we have,

t= d/s

t = 4000/2.78

t = 1438 s

1438 s =23.96 min = 0.39 hrs

:- ananth finished at 5 hrs 23 min.

hope this will help u..

Answer:

See explanation

Step-by-step explanation:

Volume of a cylinder = πr²h

Solve for r

V = π * r² * h

r² = V/πh

Find the square root of both sides

r = √V/πh

If height = 6 meters and volume = 300 cubic meters. Find r

r = √V/πh

= √(300/3.14*6)

= √(300/18.84)

= √15.923566878980

r = 3.9904344223381

Approximately,

r = 4 meters

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function between x = a and x = b will be,

Average rate of change = \(\frac{f(b)-f(a)}{b-a}\)

We have to calculate average rate of change of the given quadratic function between x = 0 and x = 2.

From the given graph,

f(2) = 6

f(0) = 10

Therefore, average rate of change = \(\frac{f(2)-f(0)}{2-0}\)

                                                          = \(\frac{10-6}{2-0}\)

                                                          = 2

Option B will be the answer.

Answer:

A

Step-by-step explanation:

a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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Step-by-step explanation:

The mean is: 48

The median is: 49.5

The mode is: 50

The range is: 51

Suppose the value 60 is added to the data set.

The mean increases by: 1

The median increases by: .5

The mode is: 50

The range is: 51

Answer:

I think the answer is 19.8. The formula to calculate the area of the rhomboid is b × h (3.3 × 6.6 = 19.8)

Answer:

7

Step-by-step explanation:

13 / 17 = y / 10

13 x 10 = y x 17

130 = 17y

y = 130 / 17

y = 7.12

7.12 in nearest tenth is approximately 7.

The value of y, rounded to the nearest tenth, is approximately 7.6.

To solve the proportion (13/17) = (y/10) for y, we can cross-multiply and then solve for y.

Cross-multiplying:

13 * 10 = 17 * y

130 = 17y

To isolate y, we divide both sides of the equation by 17:

y = 130/17

Calculating the value:

y ≈ 7.6 (rounded to the nearest tenth)

Therefore, y is approximately 7.6 when solving the given proportion.

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Answer:

69.12ft

Step-by-step explanation:

I'm

pretty sure

Ted is paying approximately 5.13% interest on his loan of $4,000 for five years with monthly payments of $77.

To determine the approximate percent interest Ted is paying on his loan, we'll use the loan payment formula for an installment loan:
P = (L * r * (1 + r)^n) / ((1 + r)^n - 1)

Where:
P = monthly payment ($77)
L = loan amount ($4,000)
r = monthly interest rate (annual interest rate / 12)
n = total number of payments (5 years * 12 months = 60 payments)

We will solve for r and then convert it to the annual interest rate. Here's a step-by-step explanation:

1. Substitute the given values into the formula:
77 = (4000 * r * (1 + r)^60) / ((1 + r)^60 - 1)

2. Solve for r using a trial and error method, or use an online financial calculator or software like Microsoft Excel. The approximate value for r is 0.004273, which is the monthly interest rate.

3. Convert the monthly interest rate to an annual interest rate by multiplying by 12:
Annual interest rate = 0.004273 * 12 = 0.051276 (or approximately 5.13%)

So, Ted is paying approximately 5.13% interest on his loan of $4,000 for five years with monthly payments of $77.

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Answer:

-3x - 2

Step-by-step explanation:

-(x - 5) ⇒ -x + 5

-(2x + 7) ⇒ -2x - 7

-x + 5 - 2x - 7 ⇒ -3x - 2

multiply by sign:-x+5-2x-7

collect like term:-x-2x+5-7

simplify:-3x-2

Answer:

The median is the 268th observation.

Step-by-step explanation:

The mean of a data set is the value representing the entire data set.

The formula to compute the mean is:

\(\text{Mean}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}\)

The median of a data set is the middle most value in the data set.

For odd number of observations the median is given by:

\(\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}\)

For even number of observations the median is given by:

\(\text{Median}=\frac{[\frac{n}{2}]^{th}\ \text{observation}\ +\ [\frac{n}{2}+1]^{th}\ \text{observation}}{2}\)

In this case the mean number of votes per state is:

\(\text{Mean}=\frac{\text{Total number of electoral votes}}{\text{Total number of states}}\)

There are n = 535 observations, This value is an odd number.

Then the median of the electoral votes is:

\(\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}\)

           \(=[\frac{535+1}{2}]^{th}\ \text{observation}\\\\=268^{th}\ \text{observation}\)

Thus, the median is the 268th observation.

Answer:

To determine the mean number of electoral votes, add all of the votes in the table and divide by  

✔ 50

.

There are a total of 535 electoral votes. The mean is  

✔ 10.7

votes per state.

The median of the electoral votes is  

✔ 8

.

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Therefore the option A represents piecewise function

The function f(x) can be represented as a piecewise function as follows:

Define piecewise function?

A piecewise function is one that has several sub-functions, each of which applies to a distinct interval of the domain of the main function. Each sub-function covers a certain portion of the domain of the main function. When an input value passes specific "boundaries," a rule or relationship changes. This is referred to as a piecewise function.

Define domain?

The domain of a function is the set of all possible input values (often the “x” variable) which produce a valid output from a particular function. In other words, it is the set of all real numbers that can be plugged into a function and yield a real number result.

f(x) = { 2x if x<1,

          -4 if x=1,

          x+8 if x>1 }

The function has a discontinuity at x=1. To find limx→1f(x), we need to find the left-hand limit and the right-hand limit separately.

limx→1- f(x) = limx→1- 2x = 2

limx→1+ f(x) = limx→1+ (x+8) = 9

Therefore, limx→1f(x) does not exist because limx→1- f(x) is not equal to limx→1+ f(x).

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Answer:

\(P(t) = 200\cdot 0.95^t\)

Step-by-step explanation:

The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.

Write a function that gives the lion population size,

Each year, the population drops to 95% of its previous value. (100 - 5)%

That is, the population is multiplied by 0.95 each year.

Repeated multiplication is signified by an exponent.

Here, that exponent is the number of years from today (t).

Answer:

200 x 0.95(t)

Step-by-step explanation:

Answer:

V = 588.4 ft³

Step-by-step explanation:

Radius = 4.9 ft

Height = 7.8 ft

Volume of cylinder = \(\pi r^2h\)

V = (3.14)(4.9)²(7.8)

V = (3.14)(24.01)(7.8)

V = 588.4 ft³

the answer is: 190 degrees

Rounded to the nearest ten-thousandth, the solution is x of the logarithmic equation is 2.000.

To solve this equation, we can begin by isolating the logarithmic expression on one side of the equation. To do this, we can divide both sides of the equation by 3:

3 log 2x / 3 = 4 / 3

This simplifies to:

log 2x = 4/3

Now, we can use the property of logarithms that states that "log \(a^b\) = b × log a" to rewrite the logarithmic expression on the left side of the equation:

log 2x = 4/3

log \(2^{(4/3)}\) = 4/3

4/3 × log 2 = 4/3

This simplifies to:

log 2 = 1

Since "log \(a^1\) = 1" for any value of "a," this means that \(2^1\) = 2. Therefore, the solution to the equation is x = 2.

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Answer:

B) 9/2

Step-by-step explanation:

18 yards would be 54 feet

54:12  Divide both numbers by 6

9:2

The constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

A perfect square trinomial is an algebraic statement with three terms of the type ax²+bx+c. It is calculated by multiplying a binomial with itself.

For the given trinomial to be a perfect square trinomial, the value of the constant term should be such that the value of the term expression must be similar to (a+b)². Therefore,

\((a+b)^2=a^2+2ab+b^2\\\)

            \(=x^2+8x\)

Now, if we compare the two equations we will understand that the first term of the perfect square trinomial is x, and thus, the last term should 16.

\((x+4)^2 = x^2+8x+16\)

hence, the constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

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Answer:

30

Step-by-step explanation:

We can use a ratio to solve

45       x

------ = ------

27       18

Using cross products

45*18 = 27x

810=27x

Divide each side by 27

810/27 = 27x/27

30 =x

Answer:

55%

Step-by-step explanation:

Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

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Answer:

GIVEN,

Initial velocity of the rocket = 12800miles/hour

1 mile = 5280 feet

Initial velocity of the rocket in miles/second = (12800*5280)/60*60 feet/second = 18773.33333...feet/second.

THANK YOU FOR READING.

The rocket's speed in feet per second, during take-off is 18.77

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

Given;

Speed of rocket in miles per hour=12800

or, 12800miles/hour

1 mile= 52800feet

Conversion is as follows;

12800miles= 52800 x 12800 feet

=675840000feet

1hour= 60 x 60seconds

=3600seconds

Substituting the values;

=675840000feet/3600seconds

=1877.33

So, the initial speed of rocket after conversion is18.77feet per second.

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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