List from least to greatest! ( WILL GIVE BRANILIST IF CORRECT)

Step-by-step explanation:

What we'll be using:

The integer rule.

Rule: When a positive number is being subtracted by a negative number, the negative number changes to a positive.

Implying the rule:

\(1 \frac{2}{3} + 5 \frac{2}{3}\)

Add:

\(1 \frac{2}{3} + 5 \frac{2}{3} = 7 \frac{1}{3} \)

Third option is correct.

Answer: October, the 10th month

Step-by-step explanation:

540/12 = 45[with this in mind , we can assume that this is how many people get infected per month, except for July, and some factors.]

July is special for it not only has the specific unqiue rate of 5.2 infections per day. with this in mind, lets multiply....

And to top it off, we have another 225 infections to consider.

So with consideration of 161.2, 225, 540, and the fact that 45 people get infected on an average month, lets add....

161.2 + 225 + 540 = 926.2

926.2 + 45 = 971.2

971.2 + 45 = 1016.2

It only took until the 10th month of october to hit 1000.

Answer:

what grade is this

Step-by-step explanation:

Answer:

each student gets 3 drinks, make sure the lemon and lime are in different groupings

Step-by-step explanation:

The number of ways to distribute will be 1980.

What is permutation?

The permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.

We have,

10 orange drinks

1 lemon drink, and

1 lime drink

And,

Four thirsty students,

Now,

According to the question,

We have to distribute that each student gets at least one drink, and the lemon and lime drinks go to different students.

So,

Using the permutation formula,

Permutation (ⁿPr) = n!/(n-r)!

⁴P₂ = 4! / (4-2)! = (4 × 3 × 2!) / 2! = 4 × 3 = 12

Now,

Using  the Combination formula,

Combination (ⁿCr) = n! / [r! (n-r)!]

So,

(ⁿCr) = n! / [r! (n-r)!]

¹¹C₃ = 11! / [ 3!(11-3)!] = [11 × 10 × 9 × 8!] / [ 3 × 2 × 1 × 8!]

¹¹C₃ = 11 × 5 × 3 = 165

So,

The number of ways to distribute = 12  × 165 = 1980

Hence we can say that he number of ways to distribute will be 1980.

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It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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Answer:

-6

Step-by-step explanation:

(-12)+(-8)= -20

-20+14= -6

Answer:

Add all like terms

12s = 0

s = 0

Step-by-step explanation:

8s + 6 + 4s = 6

12s + 6 = 6

       -6   -6

12s = 0

÷12   ÷12

s = 0

I hope this helps!

Answer:

the explanatory variable is "the amount of practice every year" while the response variable is "the improvement in his game"

Step-by-step explanation:

In simple terms, the difference between explanatory and random variable is that the response variable is usually the focus of a question in a study/experiment while an explanatory variable is a variable that explains changes in the response variable. Which means that the explanatory variable is simply any variable that may affect the response variable.

Now, in this question, the golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.

This means that the amount of practice every year explains how much he improves every year.

Thus, the explanatory variable is "the amount of practice every year" while the response variable is "improvement in his game"

Answer:

x = 63.28°

Step-by-step explanation:

A = 33°

a = 175 mm

C = x

c = 287 mm

Use the Law of Sines to find x

Thus:

\( \frac{a}{sin(A)} = \frac{c}{sin(C)} \)

Plug in the values

\( \frac{175}{sin(33)} = \frac{287}{sin(x)} \)

Cross multiply

\( 175*sin(x) = 287*sin(33) \)

Divide both sides by 175

\( sin(x) = \frac{287*sin(33)}{175} \)

\( sin(x) = 0.893208017 \)

\( x = sin^{-1}(0.893208017) \)

x = 63.28° (2 decimal places)

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Answer:

a is 31 b is 38 x is 133. Y is 47

Step-by-step explanation:

A is 31 because the other side is 31. we know the sides are the same because of the markings. B is 38 because the other side is 38 we know that because of the markings which mean its the same. X is 133 Y should be 47 because ALL ANGLES IN A QUADRILATERAL IS EQUAL TO 360. 133+133=266 360-266 is 94. 94 is for both angles so we need to divide by 2 the answer for Y is 47

Answer:

5x+3

Hope this helps!

Answer:

11(74)+20(32)=1454

1454÷31=46.9

Answer: 3^3 Square root 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the first part, we are given the function:

\(\int \dfrac{x^6}{\sqrt{1+x}^2} \ dx\)

Suppose we make x = tan θ

Then dx = sec² θ.dθ

\(= \int \dfrac{tan^6 (\theta)}{\sqrt{1+ tan ^2 \theta }}* dx\)

\(= \int \dfrac{tan^6 (\theta)}{\sqrt{1+ tan ^2 \theta }}* sec ^2 (\theta) * d\theta\)

Since; sec² θ - tan² θ = 1

sec² θ = 1+ tan² θ

\(sec \ \theta = \sqrt{1 + tan^2 \ \theta}\)

∴

\(= \int \dfrac{tan^6 (\theta)}{sec \ \theta}* sec ^2 (\theta) * d\theta\)

\(= \int tan^6 (\theta)* sec (\theta) * d\theta\)

Thus; In the first part, Use x = tan θ, where  \(- \dfrac{\pi}{2} < \theta <\dfrac{\pi}{2}\), since the integrand comprise the expression \(\sqrt{1+x^2}\)

From the second part by using substitution method;

\(\int \dfrac{x^6}{\sqrt{1+x^2}} \ dx = \int \mathbf{tan^6(\theta) * sec ( \theta) } \ d \theta\)

The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

Answer:

d

Step-by-step explanation:

{x|x<-4}

The given graph is constant for the interval (-∞,-4).

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

Given the graph,

The value of y in the coordinate plane represents the value of the graph so to be constant the value of y must be constant.

Since the line is coming from negative infinite is horizontal till x = -4.

Hence "The given graph is constant for the interval (-∞,-4)".

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Answer:

Step-by-step explanation:

Part A ;

\(\sqrt{7} +\sqrt{3} +\sqrt{98} -\sqrt{18} \\\\\sqrt{98}=7\sqrt{2}\\\sqrt{18}=3\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+7\sqrt{2}-3\sqrt{2}\\\\\mathrm{Add\:similar\:elements:}\:7\sqrt{2}-3\sqrt{2}=4\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+4\sqrt{2}\)

Part B ;

\(3\sqrt{5} - 3\sqrt{11} + 2\sqrt{121} -3\sqrt{90} \\\\2\sqrt{121}=22\\3\sqrt{90}=9\sqrt{10}\\\\=3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}\)

The answer is 2000kg

Therefore, Antonio served a total of 28 1/2 ounces of chicken that is option D. Therefore, the total weight of the packages that the mail carrier delivered was 51.5 pounds. Therefore, Pam used 4 1/2 gallons of paint to paint her bedroom, or 4.5 gallons if we convert the fraction to a mixed number that is option C.

A fraction is a way of expressing a part of a whole or a ratio between two numbers. A fraction consists of two numbers separated by a horizontal or diagonal line. The number above the line is called the numerator, and the number below the line is called the denominator.

Here,

8. Antonio is serving himself and 5 friends, so the total number of people he is serving is 1 + 5 = 6.

He serves each person a 4 3/4 ounce piece of chicken, which is equivalent to 4.75 ounces.

To find the total amount of chicken he served, we can multiply the number of people by the amount of chicken each person received:

Total amount of chicken = Number of people x Amount of chicken per person

Total amount of chicken = 6 x 4.75

Total amount of chicken = 28 1/2 pounds

9. The mail carrier delivered 8 packages in total. Let's first find the total weight of the packages that weighed 4 2/3 pounds each:

Weight of one package = 4 2/3 = 14/3 pounds

Total weight of three packages = 3 x 14/3 = 42/3 = 14 pounds

Next, let's find the total weight of the packages that weighed 7 1/2 pounds each:

Weight of one package = 7 1/2 = 15/2 pounds

Number of packages = 8 - 3 = 5

Total weight of five packages = 5 x 15/2 = 75/2 = 37.5 pounds

Finally, we can find the total weight of all 8 packages by adding the weight of the two groups of packages:

Total weight = Weight of packages that weighed 4 2/3 pounds each + Weight of packages that weighed 7 1/2 pounds each

Total weight = 14 + 37.5

Total weight = 51.5 pounds

10. Pam found 5 5/8 gallons of paint in the garage. She used 4/5 of the paint to paint her bedroom. To find out how many gallons of paint she used to paint her bedroom, we need to multiply the total amount of paint by 4/5:

Amount of paint used = 5 5/8 x 4/5

To make the calculation easier, we can convert the mixed number to an improper fraction:

5 5/8 = (8 x 5 + 5)/8

= 45/8

Now we can substitute this into the formula:

Amount of paint used = 45/8 x 4/5

Amount of paint used = 180/40

We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 20:

Amount of paint used = (180/20) / (40/20)

Amount of paint used = 9/2

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For the given number 4 x 5³/₈. The whole part is 4 and the fraction part is 5³/₈. Both are added together to form a fraction of 43/8.

An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that.

For the given number 4 x 5³/₈.

The whole part is 4.

The fraction part is 5³/₈.

Solving the mixed fraction:

= 5³/₈.

= (5*8 + 3) /8

Both are added together to form a fraction:

= 43/8

The final number becomes:

= 4 x 5³/₈

= 4 x 43/8

= 43/2

Thus, the result of the final number obtained is 43/2.

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Answer:

D= 10 Dollars each month

Step-by-step explanation:

You find this answer by subtracting the one time fee of 20 from the total payed of 70, leaving you with 50.  You then divide that 50$ by 5 months.

Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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Answer:

not a solution

Step-by-step explanation:

p > -5

Let p = -11

-11 > -5

This is a false statement

It is not a solution

Answer:

(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

to find the y values, plug in the given x values into the equation y= 4x+7

when x = 0

y = 4(0) + 7

y = 0 + 7

y = 7

so the y value that corresponds to the x value 0 is 7 which is also written as (0,7)

when x = 1

y = 4(1) + 7

y = 4 + 7

y = 11

so the y value that corresponds to the x value 1 is 11; also written as (1, 11)

when x = 2

y = 4(2) + 7

y = 8 + 7

y = 15

so the x value 2 corresponds to the y value 15; also written as (2 , 15)

hope this helps

Answer:(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

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

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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