Hello, can someone help me with these ones pls? I need it ASAP Find the slope of the line in each figure. If the slope of the line is undefined, indicate it. Then write an equation for the given line

Answer:

.

Step-by-step explanation:

The value of A is A = 4³¹

Exponents are the base raised by power, it is written in the superscript of a number.

The expression is

[tex]\rm 4^{31x}\\[/tex]

To write in form Aˣ

A will be obtained by comparing the expressions

Aˣ = [tex]\rm 4^{31x}\\[/tex]

A = 4³¹

Therefore, the value of A is A = 4³¹.

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Answer:

n = 13

Step-by-step explanation:

24 = 3 (n-5)

3n  - 15 = 24

3n = 24 +15

3n = 39

n = 39/3

n = 13

Answer:

[tex]\boxed{\sf n=13}[/tex]

Step-by-step explanation:

[tex]\sf 24=3(n-5)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]\sf 24=3n-15[/tex]

[tex]\sf Add \ 15 \ to \ both \ sides.[/tex]

[tex]\sf 24+15=3n-15+15[/tex]

[tex]\sf 39=3n[/tex]

[tex]\sf Divide \ both \ sides \ by \ 3.[/tex]

[tex]\sf \frac{39}{3} =\frac{3n}{3}[/tex]

[tex]\sf 13=n[/tex]

Answer:

[tex]n = 0.949[/tex]. The waist-to-hip ratio indicates that length of her waist circumference is equal to the 94.9 % of length of her hip circumference.

Step-by-step explanation:

The waist-to-hip ratio of Rachel is:

[tex]n = \frac{37\,in}{39\,in}[/tex]

[tex]n = \frac{37}{39}[/tex]

[tex]n = 0.949[/tex]

The waist-to-hip ratio indicates that length of her waist circumference is equal to the 94.9 % of length of her hip circumference.

The length of her waist circumference is 94.9% the length of her hip circumference.

From the information given, Rachel's waist circumference is 37 inches and her hip circumference is 39 inches.

Therefore, her waist to hip ratio will be calculated thus:

n = 37/39

n = 0.949

This implies that the length of her waist circumference is 94.9% the length of her hip circumference.

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Given Information:

Starting population = P₀ = 47,597

rate of growth = 1.8%

Required Information:

Equation that defines the population t years = ?

Answer:

The following equation defines the population t years after 2010.

[tex]$ P(t) = 47,597e^{0.018t} $[/tex]

Step-by-step explanation:

The population growth can be modeled as an exponential function,

[tex]$ P(t) = P_0e^{rt} $[/tex]  

Where P₀ is the starting population in 2010, r is the rate of growth of the population and t is the time in years after 2010.

We are given that the starting population is 47,597 and rate of growth is 1.8%

So the population function becomes

[tex]$ P(t) = 47,597e^{0.018t} $[/tex]

Therefore, the above function may be used to estimate the population for t   years after 2010.

For example:

What is the population after 10 years?

For the given case,

t = 10

[tex]$ P(10) = 47,597e^{0.018(10)} $[/tex]

[tex]$ P(10) = 47,597e^{0.18}$[/tex]

[tex]$ P(10) = 47,597(1.1972)$[/tex]

[tex]$ P(10) = 56,984[/tex]

Answer:

I think it is [tex]\frac{6x-18}{x^{4} }[/tex]

Step-by-step explanation:

Hi there!

Answer:

Find points for the equation y = 2x + 1 by plugging in x values:

For example, when x = 1, substitute in the value of 'x' into the equation:

y = 2(1) + 1

y = 2 + 1

Solve for the y-value:

y = 3

Repeat this process for multiple points:

X                               Y

-2                              -3

-1                                -1

0                                 1

1                                  3

2                                  5

To get the graph of y = 2x + 1, simply graph these points. :)

Answer:

[tex]270^o[/tex]  and   [tex]450^o[/tex]

Step-by-step explanation:

Recall that [tex]\frac{\sqrt{2} }{2}[/tex] is a value of the function cosine for the special angles: [tex]135^o[/tex] and  [tex]225^o[/tex], then:

[tex]\frac{x}{2} =135^o\\x=270^o\\or\\ \frac{x}{2} =225^o\\x=450^o\\[/tex]

Answer: The largest number of baskets he can put together so that he can have the same number of apples and the same number of pears in each basket considering no fruit is left out is 30.

Step-by-step explanation:

Given, Farmer has 240 apples and 150 pears.

The largest number of baskets he can put together so that he can have the same number of apples and the same number of pears in each basket considering no fruit is left out = GCF(240,150)

Prime factorization of 240 and 150 :

[tex]240=2\times2\times2\times2\times3\times5\\150=2\times3\times5\times5[/tex]

Greatest common factor of 240 and 150 = [tex]2\times3\times5=30[/tex]

Hence, the largest number of baskets he can put together so that he can have the same number of apples and the same number of pears in each basket considering no fruit is left out is 30.

Answer:

a=11/5 OR 5.5

Step-by-step explanation:

Answer:

Proper: 15/4

Improper: 3 3/4

Step-by-step explanation:

Well to solve the following question,

5/12 + (5/12 + 3/4)

We solve the part in the parenthesis first,

5/12 + 3/4 = 14/4

Simplified -> 7/2

5/12 + 7/2

= 45/12

Simplified -> 15/4

Thus,

the answer is 15/4 or 3 3/4.

Hope this helps :)

Answer:

Step-by-step explanation:

[tex]\frac{5}{12}+\left(\frac{5}{12}+\frac{3}{4}\right)\\\\=\frac{5}{12}+\frac{5}{12}+\frac{3}{4}\\\\\mathrm{Add\:similar\:elements:}\:\frac{5}{12}+\frac{5}{12}=2\times \frac{5}{12}\\=2\times \frac{5}{12}+\frac{3}{4}\\\\=\frac{5\times \:2}{12}\\\\=\frac{10}{12}\\\\=\frac{10}{12}\\\\=\frac{5}{6}+\frac{3}{4}\\L.C.M =12\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\\frac{5}{6}=\frac{5\cdot \:2}{6\times \:2}=\frac{10}{12}\\\\\frac{3}{4}=\frac{3\times \:3}{4\times \:3}=\frac{9}{12}\\[/tex]

[tex]\\=\frac{10}{12}+\frac{9}{12}\\\mathrm{Since\:the\:denominators\:are\:equal\\\:combine\:the\:fractions}:\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{10+9}{12}\\\\=\frac{19}{12}[/tex]

Answer:

x=2

Step-by-step explanation:

12-10=2

Answer:

x=2

Step-by-step explanation:

10=12-x

Subtract 12 from each side

10-12 = 12-12-x

-2 =-x

Multiply by -1

2 = x

Answer:

86 degrees farenheit

Step-by-step explanation:

First, we plug 30 in for C.

Next, solve for F

Multiplying both sides by 9/5 gives us 54=F-32

Add 32 to both sides    86=F

Answer:$207.48

Step-by-step explanation:You need to find how much gallons he would need so you divide 2,093 by 23 and you get 91. After that you multiply it by $2.28, The price per gallon and you get 207.48.

Answer:

8*4*3=96 boxes in total

Step-by-step explanation:

I think. I just multiplies the 3 numbers. Hope this helps (:

Answer:

8*4*3=96 boxes in total

Step-by-step explanation:

I just multiplies the 3 numbers.

Answer:

The standard equation of the parabola is:

[tex]y=-\frac{3}{2}x^2+12x-18[/tex]

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

[tex]y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2[/tex]

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

[tex]y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}[/tex]

Then the equation of the parabola becomes:

[tex]y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18[/tex]

Answer:

Bridge = 300 m

Speed = 10 m/s

Step-by-step explanation:

If a goes past you in 10 seconds, it means the train has speed of

100 m/ 10 seconds as it is 100 m long

The speed in m/s is:

Then it take 3 times of 10 seconds to cross the bridge, so

The length of the bridge is:

Answer:

Length  : 50m

Speed   : 5 m  /  s

Answer:

x ≥ 2 or x ≤ -6

Step-by-step explanation:

4|x + 2| ≥ 16

|x + 2| ≥ 4

x + 2 ≥ 4 or  -(x + 2) ≥ 4

x ≥ 2 or x + 2 ≤ -4 → x ≤ -6

[tex]\text{Solve the absolute value}\\\\4|x+2|\geq 16\\\\\text{We can make this equation a lot simpler by dividing both sides by 4}\\\\|x+2|\geq4\\\\\text{According to the absolute value, there can be two outcomes. In this case,}\\\text{it would be either:}\\\\x+2\geq4\,\,or\,\,x+2\leq-4\\\\\text{Solve first outcome:}\\\\x+2\geq4\\\\\text{Subtract both sides by 2}\\\\x\geq2\\\\\text{Solve second outcome:}\\\\x+2\leq-4\\\\\text{Subtract 2 from both sides}\\\\x\leq-6\\\\[/tex]

[tex]\boxed{x\geq2\,\,or\,\,x\leq-6}[/tex]

Answer:

Well all even numbers between 0 and 8 are,

2, 4, 6, 8

Meaning if the button is pressed 4 times 2, 4, 6, or 8 will be outputted.

When press button 4 times. Then output of the program will be,  [tex](2,4,6,2)[/tex]

Any number that can be exactly divided by 2 is called as an even number.

Given that, When a button is pressed, a computer program outputs a random even number greater than 0 less than 8.

Even numbers greater than 0 less than 8 are,

                             [tex]=2,4,6[/tex]

When press button 4 times. Then output of the program will be,

                     [tex]=(2,4,6,2)[/tex]

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Answer: Binomial distribution

Step-by-step explanation:

The binomial appropriation is a likelihood circulation that sums up the probability that a worth will take one of two free qualities under a given arrangement of boundaries or suspicions. The hidden suspicions of the binomial dispersion are that there is just a single result for every preliminary, that every preliminary has a similar likelihood of achievement, and that every preliminary is totally unrelated, or autonomous of one another.

Answer:

y = 60 *x

Step-by-step explanation:

The rate is 180 miles / 3 hours = 60 miles per hour

Check by dividing 300 miles / 5 hours = 60 miles per hour

y = 60 *x  where y is miles and x = time

Answer:

Step-by-step explanation:

Answer:

x = 80

y = 130

Step-by-step explanation:

The 2 angles are supplementary. so, x-30 + x+50 = 180.

We solve and get 2x = 180-20

x = 80

y = x+50, because of parallel rules.

y = 130

Answer:

x = 80

y = 130

Step-by-step explanation:edge 2020

Answer:

The probability that Pat will pass the exam is 0.02775.

Step-by-step explanation:

We are given that exam consists of 100 true-false questions. Pat plans to guess the answer to each question without reading it.

If a grade on the exam is 60% or more, Pat will pass the exam.

Let X = grade on the exam by Pat

The above situation can be represented through binomial distribution such that X ~ Binom(n = 100, p = 0.50).

Here the probability of success is 50% because there is a true-false question and there is a 50-50 chance of both being the correct answer.

Now, here to calculate the probability we will use normal approximation because the sample size if very large(i.e. greater than 30).

So, the new mean of X, [tex]\mu[/tex] = [tex]n \times p[/tex] = [tex]100 \times 0.50[/tex] = 50

and the new standard deviation of X, [tex]\sigma[/tex] = [tex]\sqrt{n \times p \times (1-p)}[/tex]

                                                                  = [tex]\sqrt{100 \times 0.50 \times (1-0.50)}[/tex]

                                                                  = 5

So, X ~ Normal([tex]\mu=50, \sigma^{2} = 5^{2}[/tex])

Now, the probability that Pat will pass the exam is given by = P(X [tex]\geq[/tex] 60)

         P(X [tex]\geq[/tex] 60) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\geq[/tex] [tex]\frac{60-50}{5}[/tex] ) = P(Z [tex]\geq[/tex] 2) = 1 - P(Z < 2)

                                                       = 1 - 0.97725 = 0.02275

Hence, the probability that Pat will pass the exam is 0.02775.

Answer: a) a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends is (0.656,0.704).

b) a 95% confidence interval for the proportion of dog owners who are more likely to complain to their dog than to a friend is (0.459,0.521).

Step-by-step explanation:

Confidence interval for a population proportion is given by:-

[tex]\hat{p}\pm z(\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]

, where [tex]\hat{p}[/tex] = sample proportion , n= sample size, z= critical z-value.

As per given,

a) n=1000

Sample proportion of dog owners say they take more pictures of their dog than of their significant others or friends =[tex]\hat{p}=\dfrac{680}{1000}=0.68[/tex]

critical value for 90% confidence = 1.645  [By table]

A 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends.

[tex]0.68\pm (1.645)\sqrt{\dfrac{0.68(1-0.68)}{1000}}\\\\\approx0.68\pm0.024=(0.68-0.024,0.68+0.024)=(0.656,0.704)[/tex]

Hence, a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends is (0.656,0.704).

b) Sample proportion of dog owners say they are more likely to complain to their dog than to a friend =[tex]\hat{p}=\dfrac{490}{1000}=0.49[/tex]

critical value for 95% confidence = 1.96  [By table]

A 95% confidence interval for the proportion of dog owners who are more likely to complain to their dog than to a friend:

[tex]0.49\pm (1.96)\sqrt{\dfrac{0.49(1-0.49)}{1000}}\\\\\approx0.49\pm0.031=(0.49-0.031,0.49+0.031)=(0.459,0.521)[/tex]

Hence, a 95% confidence interval for the proportion of dog owners who are more likely to complain to their dog than to a friend is (0.459,0.521).

Answer: C y>3x+1

Step-by-step explanation:

From all the given options , only C contains inequality with '>' sign .

Hence, y>3x+1 is the inequality has a dashed boundary line when graphed.

hence, the correct option is C.

Answer:

(4, -8).

Step-by-step explanation:

If point W were to be rotated 90 degrees, it would rotate 90 degrees clockwise. The current point of W is (-2, 4). After a 90 degree rotation about the origin, the point will be (4, 2).

y = -3 is a horizontal line where y = -3. The y-value of the newly rotated point is 2. That is five units above the line where y = -3. So, a reflection would result in a y-value of y = -3 - 5 = -8. The x-value does not change.

So, the coordinate of W' is (4, -8).

Hope this helps!

Answer:

Therefore, the volume V cyl is given by the equation: V cyl πr 2h (area of its circular base times its height) where r is the radius of the cylinder and h is its height. The volume of the cone (V cone) is one-third that of a cylinder that has the same base and height: .

Step-by-step explanation:

ok its 45.15% trust me

Answer:

Step-by-step explanation:

This curve alone does  not give exact percentages with the exception of P(z=0) = .50 or 50%

A Pictorial where 'some' of the % have been added for helps more...  

However, most often one needs to use a table, calculator, or an Excel function ect to find exact Percentage,

P(x > 4000) = P(z = 0) =  .50  or 50 % |using above pictorial

Using Calculator etc:  Here, am using the Excel NORMSDIST function to find the Percentages:

P(z=3/5 - z=-3/5) =  .7257 - .2742 =.4515 or 45.15%

Answer:

P = 126; A = 927

Step-by-step explanation:

Enlarging by a scale factor means multiplying each number by the given. 6 x 4.5 = 27; 8 x 4.5 = 36. 2(27) + 2(36) = 126; 27 x 36 = 927.

Answer:

Hey there!

Original Width: 6

New Width: 27

Original Length: 8

New Length: 36

Perimeter: 36+36+27+27, or 126

Area: 36(27), or 972.

Hope this helps :)

Answer:

θ ≈ 40°

Step-by-step explanation:

Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

In the picture attached,

Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.

tanθ = [tex]\frac{19}{23}[/tex]

θ = [tex]\text{tan}^{-1}(\frac{19}{23})[/tex]

θ = 39.56

θ ≈ 40°

Answer:

251 inches

Step-by-step explanation:

c = 2πr

c = 2(3.14)(5) = 31.4

31.4 x 8 rev. = 251 inches