Select all solutions for the equation (3x + 5)(2x + 8) = 0

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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The standard form of the given numbers is 207360 × 10¹⁷.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the numbers is  (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)

Now standard form means we need to write the exponents form.

So,

5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360

And

1,000,000 x  100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷

So, combine 207360 x  10¹⁷

Hence "The standard form of the given numbers is 207360 × 10¹⁷".

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Commutative property!!!!!

Answer:

2nd option below

Step-by-step explanation:

the rectangle with size 12ft×8ft is similar to the rectangle with size 3ft×2ft.

because they have the same ratio of the length and the width.

=> 12 : 3 <=> 8 : 2

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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25 percent of $120 is $30 and yes, he has enough money to buy the music player.

A) Find 25% of $120:

To find 25% of $120, we divide $120 by 100 and then multiply by 25:

$120 / 100 * 25 = $30

So, 25% of $120 is $30.

B) Does Wyatt have enough:

To find the sale price of the music player, we need to apply the 24% discount:

$120 - $120 * 24% = $120 - $120 * 0.24 = $120 - $28.80 = $91.20

So, the music player will be sold for $91.20.

Wyatt has $95, so he has enough money to buy the music player.

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Answer:

x = 24 and y = 24

Step-by-step explanation:

Let's use algebra to solve this optimization problem.

Let x be the first number, and y be the second number. Then we have the following two equations based on the problem statement:

x + y = 48 (sum of the two numbers is 48)

xy = ? (product of the two numbers, which we want to maximize)

To solve for x and y in terms of each other, we can use the fact that:

(x + y)^2 = x^2 + 2xy + y^2

Expanding the left side of the equation gives:

x^2 + 2xy + y^2 = 2304

And substituting xy for its value in terms of x and y gives:

x^2 + 2xy + y^2 = x^2 + 2(48 - x)y + y^2 = 2304

Simplifying this equation gives:

2y^2 - 96y + x^2 - 2304 = 0

To maximize the product xy, we need to maximize the value of xy = x(48 - x) = 48x - x^2. This function is a quadratic that opens downwards, and therefore, its maximum value occurs at the vertex of the parabola, which is located at x = -b/2a = -48/(2*-1) = 24.

Thus, the two positive real numbers that sum up to 48 and their product is a maximum are x = 24 and y = 24.

Step-by-step explanation:

7x+4<5x+14

or,7x-5x<14-4

or,2x<10

or,x<10÷2

or,x<5

:.x<5

Answer:5o

Step-by-step explanation: you add all of the numbers length with and high the

Answer:

6.14 rounded to the nearest hundreth.

Every paralelogram equals 360º. And every oppisite angle is eqaul to each other. So by doing the math we can tell the smaller angles is 80º. Now we solve for x.

80=7x+37 minus 37 from both sides

43=7x.   then divide both side by 7 to cancel it out

6.14=x that is the answer rounded

You can check by inputing x's vaule into the equation and getting the angle measurment we solved for which is 80º.

7(6.14)+37

by doing this you get 80, the measure of the angle so the vaule for x is 6.14 rounded to the nearest hundreth.

The engineer measuring the western rod with a sample size of 20 is expected to have a more precise (narrower) confidence interval compared to the engineer measuring the eastern rod with a sample size of 25.

The engineer who measures the length of the western rod 20 times and calculates the average is expected to have a more precise (narrower) confidence interval compared to the engineer who measures the length of the eastern rod 25 times.

In statistical terms, the precision of a confidence interval is influenced by the sample size. The larger the sample size, the more precise the estimate tends to be. In this case, the engineer measuring the western rod has a sample size of 20, while the engineer measuring the eastern rod has a sample size of 25. Since the sample size of the western rod is smaller, it is expected to have a narrower confidence interval and therefore a more precise estimate of the true length of the rod.

A larger sample size provides more information and reduces the variability in the estimates. It allows for a more accurate estimation of the population parameter. Therefore, the engineer with a larger sample size is likely to have a more precise interval.

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Answer:

All 5 photos will appear once in all the printed brochures

Step-by-step explanation:

Given

\(Copies = 2102\)

\(Photos =5\)

Required

The number of times the photo will appear

The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.

From the question, we understand that the photos will appear once in a copy.

By extension, the 5 photos will appear once in other copies.

Approximately 53.47% of prospective employees who test positive actually use illegal drugs.

we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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Answer:

1982.33 pounds

Step-by-step explanation:

If they all weigh the same amount then you can figure it out by division.

11894/6=1982.33

Answer:

TO find out how much each elephant weighs you simply have to do 11, 894 divided by 6. Since the answer is a decimal (1982.33333333), I would just round it to the nearest tenth as it dosent specify where we have to round it to. SO, 1982.33333333 rounded to the nearest tenth is 1982.3

Step-by-step explanation:

I hope this helps, if you are having a tough time with math use:

khan academy

math nation

and other free sites!

ANSWER

A. 1/9

EXPLANATION

When we have an expression with a negative exponent we can solve it by "flipping" the fraction and solving with the positive exponent:

In this problem we have to find:

We can think of a whole number as a fraction whose denominator is 1:

So we can use the trick:

And solve:

Answer: 2nd option

Step-by-step explanation:

If m stands for miles, we know it must be $0.85m. Since there is a $0.75 and $0.10 charge, we add those together to get $0.85. Then, we must add the tourist charge of $2.50. So, the equation. 0.85m+ 2.50

Answer:

0.85m + 2.50

Step-by-step explanation:

mileage charge is equal to 0.75 dollars each mile

city gas tax is equal to 0.10 dollars each mile

mileage charge plus city gas tax is equal to 0.85

plus the tourist charge , so the answer is

0.85m + 2.50

Answer: y=-7/4x+2

Step-by-step explanation:

Answer:

should be 1.8

Step-by-step explanation:

Answer:

parn

Step-by-step explanation:

Brainliest or report?

Nancy's data modeled by the equation y = 10x + 50 has its graph attached below.

Using the data given:

Time (in minutes) | Temperature (in degrees Celsius)

----------------|--------------------------

0 | 50

1 | 60

2 | 70

3 | 80

4 | 90

The graph which displays the data is attached below. The linear equation which models the data given is :

Hence, the Nancy's data is represented by the graph attached below.

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Answer:

xy = -1 and y = -1/x are the same.

They are not linear equations because they are not written in the form

Ax + By = C.

Answer:

60degrees

Step-by-step explanation:

Congruent means equal and equilateral triangle also means a triangle which has three sides equal.

So 60 degrees is the sides for each angle since when they are added they all add up to 180°

<AC=60°

<CB=60°

<AB=60°

60+60+60=180°

∆ABC=180°

Answer:

an angle is the figure formed by two Ray's, called the sides of the angle, sharing a common endpoint called the vertex of the angle

Answer:

least possible is -9 and greatest is 0

SOlution : Domain of (bºa)(x) = [4, ∞]

The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range.

The domain (in its usual established mathematical sense) of a probability density function (and therefore also its distribution function) is available with the undocumented Wolfram Language command DistributionDomain[dist].

The meaning of "domain" in topology is a connected open set.

Another meaning of "domain" is what is more properly known as an integral domain, i.e., a ring that is commutative under multiplication, has an identity element, and no divisors of 0.

In the algebra of the function that is (f ± g)(x), (fg)(x) and (f/g)(x) the domain of the function will be an intersection of the domain of the functions f and g

Here the domain of the product of the function is asked thus the required domain will be an intersection of the domain of the function a and b.

Given a(x) = 3x + 1 ⇒ Domain, D1 = R

b(x) = √(x - 4) ⇒ Domain, D2 = [4, ∞]

Now, Domain of (b*a)(x) = Domain b(x) ⋂ Domain a(x)

= D2 ⋂ D1

= [4, ∞] ⋂ R

= [4, ∞]

Domain of (bºa)(x) = [4, ∞]

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Answer: its different because when you add a negative sign to an answer it is valued less then a answer without the negative sign

Answer:

You use the division property of inequality to isolate the variable for both inequalities. You need to reverse the direction of the inequality symbol when dividing both sides by a negative number.

Step-by-step explanation:

edge