Find the value of b in the graph of y=3x+b if it is known that the graph goes through the point: M(2,1)

Answer:

The above mentioned answer is wrong

Correct answer is option b)14000

Step-by-step explanation:

By the rule of front-end estimation

719 is estimated as 700

And 26 is estimated as 20 .

The product of 719 and 26 is estimated by multiplying 700 and 20.

The product of 700 and 20 is 14000

Hence the correct answer is option b) 14000

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

[tex]71\frac{2}{3}[/tex]

Step-by-step explanation:

1st equation:

3 cups = 3x

3x = 75

x = 25, cup = 25

2d equation

25 + lemon* lemons= 25 + y²

25 + y² = 89

y²= 89 - 25

y²= 64

y = 8, lemon = 8

3d equation

3 circles = 3c

3c = 44

c = 44/3 = 14 2/3

4th equation

25 + 32 + 14 2/3 = 71 2/3

Answer: 427/3

Step-by-step explanation:

The 3 cups added together is equal to 75, therefore, we can establish that each cup is equal to 25.

Cup=25

With the second equation, we plug in 25 for the cup and solve for the circles.

25+ Ο×Ο= 89

Ο×Ο=64

Circle=8

For the third equation, we can find the amount for the ovals if we divide by 3.

Oval= 44/3

Now that we know the value of each picture, we can solve the fourth equation.

25+8×(44/3)=?

25+(352/3)=?

(75/3)+(352/3)=427/3

Answer:

10 to the 1st power

Step-by-step explanation:

531 x 10 = 5310

Answer:

C.°

Step-by-step explanation:

According to the theorem , "Angles in the same segment are congruent"

So

m<D = 55°

Answer:

1/8 x + 3/4 = -6

Step-by-step explanation:

If you want to solve this as well:

1/8 x = -5 3/4

x = -42

Answer:

B

Step-by-step explanation:

Answer:

6x^2+47

Step-by-step explanation:

You simple have to "plug" g(x) into f(x) for x.

f(x)=6x+11

f(g(x))=6(x^2+6)+11

f(g(x))=6x^2+36+11

f(g(x))=6x^2+47

Answer:

x=4

Step-by-step explanation:

Answer:

√21  or  4.58

Step-by-step explanation:

area of triangle can be found in different ways, and they are equal as:

1/2*x*(7+3)= 1/2*√(x²+3³)*√(x²+7²)

(10x)²= (x²+3³)*(x²+7²)

x²= y

x²=21

x=√21 = 4.58

Answer:

1. 3.572 x 10^(-1)

2. 3.108 x 10^(6)

3. 5.31881533 x 10^(-6)

4. 4.18676122 x 10^(-1)

Hope this helps

Answer:

is the correct answer.

Step-by-step explanation:

We are given that co-ordinates of D is (-3,8) and F is (5,2).

For finding a point E on the line segment DF dividing it in a ratio 4:1, we can use segment formula.

[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

Where [tex](x,y)[/tex] is the co-ordinate of the point which  

divides the line segment joining the points and in the ratio m:n.

As per the given values  

[tex]x_{1} = -3\\x_{2} = 5\\y_{1} = 8\\y_{2} = 2[/tex]

Putting the given values in above formula :

x-co-ordinate of F:

[tex]x = \dfrac{5 \times 4 + (-3 \times 1)}{4+1}\\\Rightarrow \dfrac{17}{5}\\\Rightarrow x = 3.4[/tex]

y-co-ordinate of F:

[tex]y = \dfrac{4 \times 2 + 1 \times 8}{4+1}\\\Rightarrow \dfrac{16}{5}\\\Rightarrow y = 3.2[/tex]

So, answer is [tex]E(3.4,3.2)[/tex].

Answer:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Step-by-step explanation:

The first step is to write the temperatures in crescent order:

40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,

The sample minimum is the lowest value = 40

The sample maximum is the highest value = 84.

Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:

[tex]M = \frac{61+65}{2}\\ M=63[/tex]

The first quartile is the average between the 3rd and 4th terms:

[tex]Q_1 = \frac{42+48}{2}\\ Q_1=45[/tex]

The third quartile is the average between the 9th and 10th terms:

[tex]Q_3 = \frac{76+78}{2}\\ Q_3=77[/tex]

Therefore, the answer is:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Answer:

A: -8

Step-by-step explanation:

4 * -2 is -8, and A is on that point.

Answer:

its a I literally just did it

Step-by-step explanation:

Answer

D.

Explanation

mIH = 44

mIJ = 46

mJK = 77

ADDING THEM ALL TO FIND THE MEASURE OF m<HOK

<HOK = 44+46+77

<HOK = 167°

Answer:

$5.20

Step-by-step explanation:

Talked on the phone for 14 minutes .

14 - 3 = 11

11 x .35 = 3.85

3.85 + 1.35 = 5.2

Answer:

The answer is $5.20

Step-by-step explanation:

HOPE THIS HELPSSSSSS:)))))

Answer:

B

Step-by-step explanation:

We start at point 8 and go to point 1

In the expression, there are 3 terms.

3x and 4x are like terms because the variables are identical.

Also, we have a constant term which is -3.

Answer:

y-x = -1

Step-by-step explanation:

Given the two dataset;

(8,x,4,1) and (9,y,5,2)

Since they are already arranged in descending order;

The median for the first dataset is;

M1 = (x+4)/2

The median for the second dataset is;

M2 = (y+5)/2

The median is equal;

M1 = M2

(x+4)/2 = (y+5)/2

x+4 = y+5

Collecting the like terms;

4-5 = y-x

y-x = -1

Answer:

x = 160 ft

Step-by-step explanation:

The distance traveled by the car between the time the brakes are applied and the time the car comes to a stop is given by:

[tex] v_{f}^{2} = v_{0}^{2} + 2ax [/tex]

Where:

[tex]v_{f}[/tex]: is the final speed of the car = 0 (since it stops)

[tex]v_{0}[/tex]: is the initial speed of the car = 80 ft/s  

a: is the acceleration of the car = -20 ft/s²        

x: is the distance recorred by the car

The distance traveled by the car between the time the brakes are applied and the time the car comes to a stop is:

[tex] x = \frac{v_{f}^{2} - v_{0}^{2}}{2a} = \frac{0 - (80 ft/s)^{2}}{2*(-20 ft/s^{2})} = 160 ft [/tex]  

Therefore, the car travels 160 ft between the time the brakes are applied and the time the car comes to a stop.

I hope it helps you!

Answer:

  8 cm

Step-by-step explanation:

1/4 of 32 cm is (32/4) cm = 8 cm

The base of the reduced triangle is 8 cm.

Answer:

8 cm

Step-by-step explanation:

I just got it right on edge :) ur welcome

Answer:

m = 13.

Step-by-step explanation:

Recall that adding logarithmic equations, (ex: log a + log b) is the same as log (a·b). Therefore:

log 12 + log 5 = log (4m + 8)

log (12·5) = log (4m + 8)

log (60) = log (4m + 8)  **Ignore 'Log' to solve for 'm'

60 = 4m + 8  **Subtract both sides by 8

52 = 4m  **Divide both sides by 4

m = 13.

Answer:

(a) 0.14%

(b) 2.28%

(c) 48%

(d) 68%

(e) 34%

(f) 50%

Step-by-step explanation:

Let X be a random variable representing the prices paid for a particular model of HD television.

It is provided that X follows a normal distribution with mean, μ = $1600 and standard deviation, σ = $100.

(a)

Compute the probability of buyers who paid more than $1900 as follows:

[tex]P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})[/tex]

                   [tex]=P(Z>3)\\=1-P(Z<3)\\=1-0.99865\\=0.00135\\\approx 0.0014[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.

(b)

Compute the probability of buyers who paid less than $1400 as follows:

[tex]P(X<1400)=P(\frac{X-\mu}{\sigma}<\frac{1400-1600}{100})[/tex]

                   [tex]=P(Z<-2)\\=1-P(Z<2)\\=1-0.97725\\=0.02275\\\approx 0.0228[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.

(c)

Compute the probability of buyers who paid between $1400 and $1600 as follows:

[tex]P(1400<X<1600)=P(\frac{1400-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1600-1600}{100})[/tex]

                              [tex]=P(-2<Z<0)\\=P(Z<0)-P(Z<-2)\\=0.50-0.0228\\=0.4772\\\approx 0.48[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.

(d)

Compute the probability of buyers who paid between $1500 and $1700 as follows:

[tex]P(1500<X<1700)=P(\frac{1500-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1700-1600}{100})[/tex]

                              [tex]=P(-1<Z<1)\\=P(Z<1)-P(Z<-1)\\=0.84134-0.15866\\=0.68268\\\approx 0.68[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.

(e)

Compute the probability of buyers who paid between $1600 and $1700 as follows:

[tex]P(1600<X<1700)=P(\frac{1600-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1700-1600}{100})[/tex]

                              [tex]=P(0<Z<1)\\=P(Z<1)-P(Z<0)\\=0.84134-0.50\\=0.34134\\\approx 0.34[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.

(f)

Compute the probability of buyers who paid between $1600 and $1900 as follows:

[tex]P(1600<X<1900)=P(\frac{1600-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1900-1600}{100})[/tex]

                              [tex]=P(0<Z<3)\\=P(Z<3)-P(Z<0)\\=0.99865-0.50\\=0.49865\\\approx 0.50[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.

Answer:

Step-by-step explanation:

Answer:

The correct answer is:

12

Step-by-step explanation:

Length of county = 70 miles

breadth of county = 60 miles

area of county (rectangle) = Length × Breadth = 60 × 70 = 4,200 sqaure miles

population of county = 50,000

Therefore, to find the average number of people living on each square mile of the county, we will assume that the whole population is equally distributed in the county, hence the population per square mile is calculated thus:

Total area = 4,200 square miles

total population = 50,000

This means that:

4,200 square miles contains 50,000 people

4,200 sq. miles = 50,000 people

∴ 1 sq. mile = 50,000 ÷ 4,200 = 11.9 = 12 people (to the nearest whole number)

therefore number of people living per square mile = 12

Answer:

12

Step-by-step explanation:

Got it right on the test! <3

It’s the y-axis for the first answer and the other one it’s a reflection of JKL what line of reflection maps point L to point L at (-2,3).

When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed-line. The fixed-line is called the line of reflection.

RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.

Learn more about the line of reflection at

https://brainly.com/question/8496129

#SPJ2

Answer:

(a)[tex]A(n)=5500(1.01)^{4n}[/tex]

(b)$5955.71

(c)15.02 years

Step-by-step explanation:

For an initial principal P deposited in an account at an annual interest r compounded for a number of period k, the amount in the account after n years is given by the model:

[tex]A(n)=P(1+\dfrac{r}{k})^{nk}[/tex]

(a)Aunt Ga Ga gave you $5,500 to save for college.

P=$5,500

Annual Interest, r=4%=0.04

Since interest is compounded quarterly, Number of Periods, k=4

Therefore, an exponential function modeling this situation is:

[tex]A(n)=5500(1+\dfrac{0.04}{4})^{4n}\\A(n)=5500(1+0.01)^{4n}\\$Simplified\\A(n)=5500(1.01)^{4n}[/tex]

(b)After 2 years, i.e. when n=2

[tex]A(2)=5500(1.01)^{4*2}\\=\$5955.71[/tex]

(c)When A(n)=$10000, we have:

[tex]10000=5500(1.01)^{4n}\\$Divide both sides by 5500\\(1.01)^{4n}=\dfrac{10000}{5500} \\$To solve for n, we change to logarithm form\\Log_{1.01}\dfrac{10000}{5500}=4n\\= \dfrac{ Log \dfrac{10000}{5500}}{Log 1.01}=4n\\4n=60.08\\n=60.08 \div 4\\n=15.02\\$Therefore, in 15.02 years, the account would be worth $10,000.[/tex]

Answer:

About 786 would be expected to yield more than 180 bushels of corn per acre

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 189.3, \sigma = 23.5[/tex]

Proportion of acres with more than 180 bushels of corn per acre:

This is 1 subtracted by the pvalue of Z when X = 180. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{180 - 189.3}{23.5}[/tex]

[tex]Z = -0.4[/tex]

[tex]Z = -0.4[/tex] has a pvalue of 0.3446.

1 - 0.3446 = 0.6554

Out of 1200:

0.6554*1200 = 786.48

About 786 would be expected to yield more than 180 bushels of corn per acre

Answer:

B. 1.82n

Step-by-step explanation:

Expression given: n + n - 0.18n

Adding n+n gives '2n'

then subtracting 0.18n from 2n gives= 1.82 n

Therefore,

n + n - 0.18n=0.18n

Answer:

False

Step-by-step explanation:

50% of 86 would be 43, 49% would be a bit lower then that.

Answer:

False, Its 42.14

Step-by-step explanation:

What is 49 percent of 86: 49 percent *86 = (49:100)*86 = (49*86):100 = 4214:100 = 42.14. Now we have: 49 percent of 86 = 42.14

Answer:

1. Statistics

2. Sample

3. Population

4. Variable

5. Data

6. Parameter

Step-by-step explanation:

1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50

2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50

3. Population is the group of people from which the sample was taken - All people who drive on Highway 50

4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway

5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove

6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50

Answer:

$20.32 or $12.16 depending on the question below!

Step-by-step explanation:

$320.32

It's a bit ambiguous, the current Principal is $100 plus 2 $ additions of $100 or the current Principal is $0 plaus 2 years of $100 contributions. In this case it's $212.16

Answer:66.4

Step-by-step explanation:

[tex]A_{semicircle} =\frac{1}{2} \pi r^2=\frac{1}{2} \pi (\frac{13}{2} )^2= 66.36614 \approx66.4[/tex]

Answer:

y+5 = 3/4(x+8)

Step-by-step explanation:

The point slope form of the equation of a line is

y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

The slope is 3/4 and the point is (-8,-5)

y - -5= 3/4( x - -8)

y+5 = 3/4(x+8)