An arrow consists of a rectangle and triangle (see below).

Answer:

The Answer Is A 1 7/33

Step-by-step explanation:

8/11×3/5

11×3=33

8×5=40 40/33

40/33 in simplified form is 1 7/33

Answer:

The two events are not independent

Step-by-step explanation:

Two events are said to be independent only when the change in one event affect the other event.

Here the two given events are not independent.

Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.

Hence, the two events are not independent as the traffic is affected by the weather conditions.

Answer:

... b

Step-by-step explanation:

Answer:

2.25 cups of sugar per dozen cookies

Step-by-step explanation:

8 - 1.25 = 6.75

6.75 ÷ 3 = 2.25

Answer:

Step-by-step explanation:

Since we are not given the value of P, |Q|, R and S, we can as well assume values for them for the sake of this question.

Let P = 5, |Q| = 6, R =7 |S| = 2

Note that since Q and S are in modulus sign, they can return both positive and negative values.

P+Q = 5 + 6 (note that the positive value of Q is used since we need the greatest value of P+Q)

P+Q = 11

Hence the greatest value of P+Q is 11

For the least value of P+Q, we will use the negative value of Q as shown

P+Q = 5+(-6)

P+Q = 5-6

P+Q = -1

Hence the least value of P+Q is -1

Similarly:

R+S = 7 + 2 (note that the positive value of S is used since we need the greatest value of R+S)

R+S = 9

Hence the greatest value of R+S is 9

For the least value of R+S, we will use the negative value of S as shown

R+S = 5+(-2)

R+S = 5-3

R+S = 2

Hence the least value of P+Q is 2

NOTE THAT THIS ARE ASSUMED VALUES. ALL YOU NEED IS TO PLUG IN THE VALUES OF P, Q and R THAT YOU HAVE IN CASE THE VALUES DIFFERS.

Let's use v1(t) and v2(t) to represent the speed of the first and second runners, respectively, at time t. The functions v1 and v2 must both be continuous in the time variable t, hence this assumption must be made.

So, their difference, a(t), is similarly a continuous function in the variable t, with the formula a(t) = v1(t)-v2(t).  

Now, using the principle of contradiction, one may demonstrate that t1, t2, such that a(t1) is less than or equal to 0 and a(t2) is higher than or equal to 0, exist because the overall average speed of both runners is identical.

Now, we may utilize the continuous function a's Intermediate Value Property to locate a t0 between t1 and t2, where a(to)=0 and the runners are moving at the same speed at this point.

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Answer:

The change in revenue from the sale of one more doghouse if 110 doghouses have already been sold is dR/dx=66.67 $/doghouse.

Step-by-step explanation:

We have a revenue function that is:

\(R(x)=14,000\cdot \text{ln}(0.01x+1)\)

We have to approximate the change in revenue from the sale of one more doghouse, if 110 doghouses have already been sold.

That is the marginal revenue at x=110.

The marginal revenue is expressed as the first derivative of the revenue.

Then, we calculate the derivative of R:

\(\dfrac{dR}{dx}=\dfrac{d}{dx}[14,000\cdot \text{ln}(0.01x+1)]\\\\\\\dfrac{dR}{dx}=14,000\dfrac{d}{dx}[\text{ln}(0.01x+1)]\\\\\\\dfrac{dR}{dx}=14,000\cdot\dfrac{1}{0.01x+1}\cdot \dfrac{d}{dx}(0.01x+1)\\\\\\\dfrac{dR}{dx}=14,000\cdot\dfrac{1}{0.01x+1}\cdot 0.01\\\\\\\dfrac{dR}{dx}=\dfrac{14,000}{x+100}\)

We then evaluate this marginal revenue at point x=110:

\(\dfrac{dR}{dx}_{|x=110}=\dfrac{14,000}{110+100}=\dfrac{14,000}{210}=66.67\)

Answer:

x=-4

Step-by-step explanation:

−4x−7−3x+4=25

Combine −4x and −3x to get −7x.

−7x−7+4=25

Add −7 and 4 to get −3.

−7x−3=25

Add 3 to both sides.

−7x=25+3

Add 25 and 3 to get 28.

−7x=28

Divide both sides by −7.

x= 28/-7

Divide 28 by −7 to get −4.

x=−4

Answer:

x=-4

Step-by-step explanation:

-4x -7 -3x +4=25

Combine like terms

-7x-3=25

Add 3 to each side.

-7x=28

Divide by -7

x=-4.

Answer:

1 1/2 meters

Step-by-step explanation:

Answer:

Earl runs 1.5 meters per second.

Step-by-step explanation:

90m/60sec = 1.5m/sec

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Alice spent $227.88 on 12 shirts

Step-by-step explanation:

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Step-by-step explanation:

The dosage needed for this in an  order for morphine sulfate 1/4 gr IM stat is 1.5 ml.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

One grain =  60mg, hence:

1/4 gr = 1/4 gr * 60 mg per gr = 15 mg

Hence, for 10 mg per ml:

Dosage = 15 mg /  10 mg per ml = 1.5 ml

The dosage needed for this in an  order for morphine sulfate 1/4 gr IM stat is 1.5 ml.

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Answer:

The  average temperature  is \(T_{a} = 81.95^oC\)

Step-by-step explanation:

From the question we are told that

    The temperature of the coffee after time t is   \(T(t) = 25 + 72 e^{[-\frac{t}{45} ]}\)

Now the average temperature during the first 22 minutes i.e fro \(0 \to 22\)minutes is mathematically evaluated as

              \(T_{a} = \frac{1}{22-0} \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx\)

               \(T_{a} = \frac{1}{22} [25 t + 72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.\)

             \(T_{a} = \frac{1}{22} [25 t - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.\)

              \(T_{a} = \frac{1}{22} [25 (22) - 3240e^{[-\frac{22}{45} ]} - (- 3240e^{0} )]\)

            \(T_{a} = \frac{1}{22} [550 - 1987.12 + 3240]\)

          \(T_{a} = 81.95^oC\)

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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Answer:

6x + 3y is ur answer so i think 9 or something idc

Step-by-step explanation:

First multiply everything by 3 to get

6x + 3y

Answer:

the solution is just 6x+3y

thats all

The expression {P(x) + Q(x)} − {R(x) + S(x)} is a zero polynomial.

From the question, we have the following polynomial that can be used in our computation:

P(x) = 2x² (x + 3) − (7x − 10)

Q(x) = 8(x − 1) (x² + x + 1) − 3x² + 4

R(x) = (2x + 1)² - (2x² + 7)

S(x) = 2(5x³+6) + x(x - 11)

Add the expressions P(x) and Q(x)

So, we have

P(x)  + Q(x) = 2x² (x + 3) − (7x − 10) + 8(x − 1) (x² + x + 1) − 3x² + 4

Evaluate

P(x)  + Q(x) = 10x³ + 3x² - 7x + 6

Add the expressions R(x) and S(x)

So, we have

R(x) + S(x) = (2x + 1)² - (2x² + 7) + 2(5x³+6) + x(x - 11)

R(x) + S(x) = 10x³ + 3x² - 7x + 6

So, we have

P(x) + Q(x)} − {R(x) + S(x)} = 10x³ + 3x² - 7x + 6 - (10x³ + 3x² - 7x + 6)

Evaluate

P(x) + Q(x)} − {R(x) + S(x)} = 0

Hence, the expression {P(x) + Q(x)} − {R(x) + S(x)} is a zero polynomial.

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The probability of not picking a penny is the probability of picking a penny SUBTRACTED from 1.

We can write it as:

P(not Penny) = 1 - P(penny)

There are

7 + 11 + 8 + 15 = 41 coins altogether

There are 15 pennies. Thus, probability of penny is:

P(penny) = 15/41

Now,

Probability of Not picking a Penny is:

P(not Penny) = 1 - P(penny)

P(not Penny) = 1 - 15/41

P(not penny) = 26/41

To get percentage, we divide and then multiply by 100 and tag along a '%' sign.

So,

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer:

Day 1: 25, Day 2: 16, Day 3: 64

Step-by-step explanation:

First you need to form an equation using unknowns, below i have used x to represent the number of calls

Day 1: x+9

Day 2: x

Day 3: 4x

105-9 (as day 1 is x+9) = 96

4 + 1 + 1 = 6 (6x)

96/6 = 16

x = 16, so Day 2 = 16

16 + 9 = 25

16 x 4 = 64

To check, 16 + 25 + 64 = 105

Hope this helps :D

Answer: D

Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.

So 150x(the number of tractors) + 1000(his pay each month)

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

Step-by-step explanation:

In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,

\(m=\frac{-7-5}{4-10}=\frac{-12}{-6}=2\) So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)

y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):

y - (-7) = 2(x - 4) and simplified:

y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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Answer:

A student answered 45 problems on a test correctly and received a

grade 90%. How many problems were on the test, if all the problems were worth the same number

were worth the same number of marks? (Round to the nearest whole

number)

100/90 * 45 = 50

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Explain what is the difference between fractions and percentages

and also state the relationship they have with each other

The numbers which are decimals by nature can be represented in the form of fractions. For example, 0.5 can also be written as 5/10. ... Percentages refer to decimal numbers to the base 100. These are represented by a % (percent sign).Since a percent is a ratio a ratio can be written as a fraction. This means any of these forms can be converted to any of the others.

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40% of the 7920 visitors to an amusement park were children. 25% of these children and 1/3 of the adults were repeat visitors. How many percent of the visitors were visiting the amusement park for the first time?

Total number of visitors = 7920

Find the number of children:

Children = 40% of 7920

Children = 0.4 x 7920

Children = 3168

Find the number of adults:

Adult = 7920 - 3168 = 4752

Find the number of repeated visitors that are children:

Repeated visitors = 25% x 3168

Repeated visitors = 0.25 x 3168

Repeated visitors = 792

Find the number of children that are visiting for the first time:

First time visitors = 3168 - 792 = 2376

Find the number of repeated visitors that are adult:

Repeated visitors = 1/3 x 4752

Repeated visitors = 1584

Find the number of adults that are visiting for the first time:

First time visitors = 4752 - 1584 = 3168

Find the total number of first time visitors:

Total number of first time visitors = 3168 + 2376 = 5544

Answer: There are 5544 visitors that are visiting for the first time

Answer:

C≈18.85 ft

this is the answer I think

Answer:

The answer is 18.85ft

Step-by-step explanation:

To explain is the radius is 3ft and the circumference is 2nr

To show how to solve will be like this and look down here C=2πr=2·π·3≈18.84956ft

18.84956ft round to the nearest is 18.85ft