2x+3 equal or greater 8​

Answer:

Division property of equality

Step-by-step explanation:

They are dividing both sides.

Answer:

46.2÷m=x

Step-by-step explanation:

u divide the amount of water by the time it takes to fill up(m). Witch will equal the amount per minute (x).

16.5/min

time = m

gallons / minutes = rate

46.2  = 16.5 (m)

46.2 / 16.5 = 16.5 (m) / 16.5

2.8 = minutes

Answer: C

Step-by-step explanation:

Answer:

182.91

Step-by-step explanation:

First multiply the cost of the meal by the sales tax percentage as a decimal (.14)

\(136.50*.14=19.11\)

Then multiply the cost of the meal before sales tax by the tip percentage

\(136.50*.2=27.30\)

Then add the tip and the sales tax on top of the cost of the meal to calculate the total cost

\(136.5+19.11+27.3=182.91\)

Answer:

Line 1: \(\infty\)

Line 2: \(-\frac{4}{3}\)

Line 3: \(\frac{4}{3}\)

Line 4: \(\infty\)

Line 5: \(\frac{7}{4}\)

Line 6 : \(-\frac{7}{3}\)

Line 7: 0

Line 8: 0

Line 9: \(\infty\)

Line 10: \(\infty\)

Line 11: 0

Line 12: \(\infty\)

Step-by-step explanation:

Slope of line is given by the formula:

\(\text{Slope = }\dfrac{\text{Change in } y\text{ coordinate}}{\text{Change in } x\text{ coordinate}}\)

Line 1:

The change in \(x\) coordinate is zero.

Therefore slope of line 1 is \(\infty\).

Line 2:

Change in \(y\) coordinate = -4

Change in \(x\) coordinate = 3

Slope = \(-\frac{4}{3}\)

Line 3:

Change in \(y\) coordinate = 4

Change in \(x\) coordinate = 3

Slope = \(\frac{4}{3}\)

Line 4:

The change in \(x\) coordinate is zero.

Therefore slope of line 4 is \(\infty\).

Line 5:

Change in \(y\) coordinate = 7

Change in \(x\) coordinate = 3

Slope = \(\frac{7}{3}\)

Line 6:

Change in \(y\) coordinate = -7

Change in \(x\) coordinate = 3

Slope = \(-\frac{7}{3}\)

Line 7:

Change in \(y\) coordinate = 0

Slope = 0

Line 8:

Change in \(y\) coordinate = 0

Slope = 0

Line 9:

The change in \(x\) coordinate is zero.

Therefore slope of line 9 is \(\infty\).

Line 10:

The change in \(x\) coordinate is zero.

Therefore slope of line 10 is \(\infty\).

Line 11:

The change in \(y\) coordinate is zero.

Therefore slope of line 11 is 0.

Line 12:

The change in \(x\) coordinate is zero.

Therefore slope of line 12 is \(\infty\).

If we give 1 g/kg  of mannitol, it then follows that Balto needs to receive 35g  of  mannitol.

Percent is one of the ways of expression the concentration of a solute in a solvent. In this case, the concentration of the mannitol is 20%. This implies that there are 20 g of mannitol in 100 g of solution.

Thus, If we give 1 g/kg  of mannitol, it then follows that Balto needs to receive 35g  of  mannitol.

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It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

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Answer:

the third one.

Step-by-step explanation:

clockwise rotation of 90*

Answer:

clockwise rotation of 90 degrees

Step-by-step explanation:

Please put me as brainliest answer :)

Answer:

Step-by-step explanation:

Area of left rectangle:

Length = 36 ft

Width  = 8

Area1 = length * width

         = 36 * 8

        =  288 square feet

Area of right rectangle:

Length = 15 ft

Width = 22 - 8 = 14 ft

Area2 = 15 * 14

          = 210 square feet

Area of the figure = Area1 + area2

                            = 288 + 210

                            = 498 square feet

7½ – 4/7 ×7/8

= 15/2 – 1/2

= 7

Answer:

its 7

Step-by-step explanation:

a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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Problem 1

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

Work Shown:

We decrease by 7 each time we need a new term

an = nth term

an = a1+d(n-1)

an = 9+(-7)(n-1)

an = 9-7n+7

an = -7n+16

a14 = -7*14+16

a14 = -82

Sn = sum of the first n terms of an arithmetic sequence

Sn = (n/2)*(a1+an)

S14 = (14/2)*(9+(-82))

S14 = -511  

================================================

Problem 2

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

Explanation:

The nth term of a geometric sequence is a*r^(n-1)

We're given that

Those two facts lead us to these two equations

Divide the second equation over the first equation

The left hand sides would divide to r^3

The right hand sides divide to -216

Solving r^3 = -216 leads to r = -6

This leads to...

a*r = 15

a*(-6) = 15

a = 15/(-6)

a = -2.5

This points us at choice C as the answer. Choice C says that the nth term is found by multiplying the previous term by -6, which is tied directly to the common ratio.

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

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The statements that are true are:

A : Vertical angles are congruent, therefore, another angle must equal 67°

F: Two of the angles formed will have a sum of 180°

What happens when two lines intersect?

When two lines intersect, their vertical angles are always the same and the sum of the two angles on a straight line is 180°

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Answer:

The slope intercept of a line is given by y=mx+c, where:

m=slope, c=y-intercept.

Thus the slope-intercept form of our equation will be:

-6+2y≤42

adding 6 in both sides we get:

-6+6+2y≤42+6

2y≤6

dividing both sides by 2 we get:

(2y)/2≤6/2

y≤3

the answer is y≤3

Step-by-step explanation:

Price of each ticket without service charge is : 43.569                                                                                                              Service charge : A service charge is an amount that is added to your bill in a restaurant to pay for the work of the person who comes and serves you.

So we have to find out price of each ticket without service charge

Total service charge added on both the tickets : 3%

Step by step solution :

$92.70 (both tickets with service charge)

92.70*3/100

2.781 (service charge for one ticket)

2.781*2= 5.562

92.70-2.781=89.919

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Answer:

4000 ants are left

1000 are lost

Step-by-step explanation:

1/5 of 5000 is 1000

5000 - 1000 = 4000

Answer:

x = 3

Step-by-step explanation:

6x + 2x - 5= 19  

8X -5 = 19

8x = 24

x = 3

Answer:

Critical value: b. 2.33

As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

Then, the null and alternative hypothesis are:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0\)

The significance level is 0.01.

The sample 1 (women), of size n1=150 has a proportion of p1=0.62.

The sample 2 (men), of size n2=200 has a proportion of p2=0.24.

The difference between proportions is (p1-p2)=0.38.

\(p_d=p_1-p_2=0.62-0.24=0.38\)

The pooled proportion, needed to calculate the standard error, is:

\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{93+48}{150+200}=\dfrac{141}{350}=0.403\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.403*0.597}{150}+\dfrac{0.403*0.597}{200}}\\\\\\s_{p1-p2}=\sqrt{0.001604+0.001203}=\sqrt{0.002807}=0.053\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.38-0}{0.053}=\dfrac{0.38}{0.053}=7.17\)

The critical value for a right-tailed test with a signficance level of 0.01 is zc=2.33 (see picture attached).

As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-5=-3x+1

-1         -1

-6=-3x

divide both sides by -3

x=2

The value of x when f(x) = - 5, In the function f(x) = - 3x + 1 is 2.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = - 3x + 1.

Now, when f(x) = - 5 the equation would be,

- 5 = - 3x + 1.

- 5 - 1 = - 3x.

- 6 = - 3x.

3x = 6.

x = 2.

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Answer: 4000

Step-by-step explanation:

Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.

To solve this problem, we can use the formula for compound interest:

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

Where:

A is the account balance after a certain amount of time

P is the principal or initial amount invested

r is the annual interest rate (as a decimal)

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

t is the time period in years

Given tha data in the question;

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year.

Substituting these values into the formula solve for accrued amount, we get:

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

A = 1,050(1 + 0.035/6)^(6 × 7)

A = 1,050(1 + 0.005833333333333)⁴²

A = 1,050(1.005833333333333333)⁴²

A = $1,340.55

Therefore, the accrued amount is $1,340.55.

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Answer:

y=3x-11

Step-by-step explanation:

Y = 3x-11    x=3

                  y= -2

y = 3(3) - 11

y = -2

We are given a graph and asked to find the following

1. Domain:

The domain is all the possible values of input (x)

From the graph, we see that the domain is from -4 to 4

Please note that 4 is included (since the dot is solid)

2. Range:

The range is all the possible values of output (y)