A line passes through the points (10, 6) and (5, -2). What is its equation in slope-intercept form?​

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

To know more about Vector Visit:

https://brainly.com/question/24256726

#SPJ11

The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

https://brainly.com/question/31400182

#SPJ12

Answer:56

Step-by-step explanation:

The slope of the line that passes through (-4, 7) and (-6, 5) is 1.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinate points are (-4, 7) and (-6, 5).

Now, slope m=(5-7)/(-6+4)

m=-2/(-2)

m=1

Substitute m=1 and (x, y)=(-4, 7) in y=mx+c, we get

7=1(-4)+c

c=11

Substitute m=1 and c=11 in y=mx+c, we get

y=x+11

Therefore, the slope of the line that passes through (-4, 7) and (-6, 5) is 1.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ1

Answer:

1 1/20

Step-by-step explanation:

¾ / 1 ¼= ¾ / 5/4= ¾ x ⅘ = 12/ 20= ⅗  

⅗ x 1 ¾ = ⅗ x 7/4 = 21/20= 1 1/20

domonic needs 1 1/20 cups of breadcrumbs when he uses 1 ¾ pounds of ground beef.

hope it helps<3

Dominic need 3/5 cups of breadcrumbs when he uses 1 pound of ground beef.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

It is given that Dominic uses 3/4 cups of breadcrumbs for every \(1\frac{1}{4}\) pounds of ground beef. Therefore for 1 pound of ground beef he will required :

\(\begin{aligned}1\frac{1}{4}&\rightarrow \frac{3}{4}\\\frac{5}{4}&\rightarrow \frac{3}{4}\\1&\rightarrow \frac{12}{20}\\1&\rightarrow \frac{3}{5}\text{\:cups\:of\:breadcrumbs}\end{aligned}\)

Therefore, Dominic need 3/5 cups of breadcrumbs when he uses 1 pound of ground beef.

Read more about ratio at:

https://brainly.in/question/1239848

#SPJ2

Answer: the distances can be 0.65 miles (in the opposite direction to the school) or 4.65 miles (in the same direction as the school)

Step-by-step explanation:

Ok, the data that we have is:

Total distance = 9.3 mi.

The travel is:

House to school = 4 mi.

school to library = A

library to house = B

Now, we have that:

4mi + A + B = 9.3mi.

We have three possibilities:

1) The order of locations is: house, library, school

The travel from: school to library + library to house is equivalent to a travel between the school to the house = 4mi.

Then we have A + B = 4mi

4mi + A + B = 8mi ≠ 9.3mi

Then the library can not be between the house and the school.

2) The order of locations is: house, school, library.

In this case we have that the distance between the library and the house is equal to the distance between the house and the school plus the distance between the school and the library, then:

4mi + A = B.

We can replace this in our original equation:

4mi + A + B = 9.3mi

4mi  + A + (4mi + A) = 9.3mi

8mi + 2*A = 9.3mi

2*A = 9.3mi - 8mi = 1.3mi

A = 1.3mi/2 = 0.65mi

Then the distance between the house and the library is:

The 4 miles between the house and the school, plus the 0.65 miles between the school and the library:

Distance = 4mi + 0.65mi. = 4,65mi

3) The third case is when the order of the locations is:

Library, house, school.

Then the distance between the house and the library is equal to the distance between the school and the library minus the distance between the house and the school, this is:

A - 4mi = B

Now we can replace this in our distance equation:

4mi + A + B = 9.3mi

4mi + A + (A - 4mi) = 9.3 mi

2A = 9.3mi

A = 9.3mi/2 = 4.65mi

Then the distance between the house and the library is:

B = A - 4mi = 4.65mi - A = 0.65mi

Then the distance between the house and the library is 0.65 miles in this case.

When the numerator and denominator is same the answer will be always 1

For example:

\(\ \dfrac{3}{3} }\), Here the numerator(3) and denominator(3) is same and equals to 1.

Radical example:

\(\ \dfrac{\sqrt{4} }{\sqrt{4} } }\), Here the numerator(√4) and denominator(√4) is same and equals to 1.

Algebra example:

\(\dfrac{pq^2}{q^2p}\) ,Here the numerator(pq²) and denominator(q²p) is same and equals to 1.

Answer:

The ~ numerator ~ represents the total number of parts taken into account. Now the ~ denominator ~ represents the total number of equal parts in a fraction!

Step-by-step explanation:

_Hope this helps_  :>

Answer:

The approximate area of Colorado is

369 × 281 = 103,689 square miles

So the population density of Colorado in 2009 was

5,024,748 people / 103,689 square miles = about 48.46 people per square mile

(about 48 people per square mile)

Answer:

-7.526 or 2.126

Step-by-step explanation:

Answer:

a= 4

b= -1

c= 10

Step-by-step explanation:

First we start by multiplying both sides of 1/2c = 5 by 2.

c = 10

Add b to both sides of the last equation to make it a=b+5

knowing these two things, we can plug them into the first equation like this:

2(b+5) + b + 10 = 17

then you solve for b:

distribute the 2

2b + 10 + b + 10 = 17

combine like terms

3b + 20 = 17

subtract 20 from each side

3b = -3

divide by 3

b = -1

then you can plug that into the last equation again so a - (-1) =5

Subtracting a negative is the same as adding so its a + 1 = 5 or a = 4

Answer:

240 m³

Step-by-step explanation:

Triangular base = 1/2bh=

1/2(5)(12)=30

30x8=240m³

(Volume is in cubic units, not square units, so I’m not sure why the question says that.)

The 90th percentile of the distribution is 7.2 minutes.

The waiting time for a bus has a uniform distribution between 0 and 8 minutes. We need to find the 90th percentile of this distribution.                                                                                                                                            

Formula for percentile in a uniform distribution is: X = a + (p/100) (b − a), where X = percentile p = percentile number (e.g. 90th percentile is p = 90)a = smallest value in the distribution b = largest value in the distribution Substituting the given values in the formula :X = 0 + (90/100) (8 − 0)X = 0 + (0.90) (8)X = 7.2 So, now we have the 90th percentile of the distribution which divide the distribution into two parts so that 90% of the area is to the left of 90th percentile which is 7.2  minutes.                                                                                                                                                                         Therefore, the 90th percentile of this distribution is 7.2 minutes. Hence, the correct answer is MA.                                              

To know more about percentile uniform distribution visit:

https://brainly.in/question/16469378

#SPJ11

The 90th percentile of the distribution is 7.2 minutes.

Given that the waiting time for a bus has a uniform distribution between 0 and 8 minutes, we need to determine the 90th percentile of this distribution.

Here, the 90th percentile divides the distribution into 2 parts so that 90% of the area is to the left of the 90th percentile.

To find the 90th percentile, we can use the following formula:$$\text{90th percentile} = l + 0.9h$$where l is the lower limit of the uniform distribution and h is the range of the uniform distribution.

Here, l = 0 and h = 8 - 0 = 8.

Therefore, substituting these values, we get:$$\text{90th percentile} = 0 + 0.9(8) = 7.2$$Hence, the 90th percentile of the distribution is 7.2 minutes.

To know more about percentile visit:

https://brainly.ph/question/16663152

#SPJ11

Answer:

A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up?

=

$386.40

Answer:

\(f(-6)=14\)

Step-by-step explanation:

According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).

It is given that \(\dfrac{f(x)}{x+6}\) has a remainder of 14.

Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get

\(a=-6\)

So, by remainder theorem, remainder of \(\dfrac{f(x)}{x+6}\) is f(-6).

Since the remainder is 14, therefore

\(f(-6)=14\)

Therefore, the answer for first blank is -6 and for second blank is 14, i.e., \(f(-6)=14\).

Answer:

1080 inches

Step-by-step explanation:

or did you need it in ft?

or another unit of measurement-

Answer:

1,080

Step-by-step explanation:

270*4

1,080

If u add the 270 four times you get 1,080

Answer:

Step-by-step explanation:

32 meals;

to solve, divide 24 by 0.75 (3/4) or you can do 24/1 times 4/3

The length of the shadow casted by the building is 31.06 meters. The solution has been obtained by using trigonometry.

What is trigonometry?

Trigonometry is a discipline of mathematics that deals with the study of sides, angles, and relationships in triangles.

We are given that at a certain time of day, the angle of elevation of the sun is 44 degrees. The height of the building is given as 30 meters.

Using trigonometry,

We know that tan theta = opposite side/ adjacent side

So,

⇒tan 44° = 30/x

⇒0.9657 = 30/x

⇒x = 31.06

Hence, the length of the shadow casted by the building is 31.06 meters.

Learn more about trigonometry from the given link

https://brainly.com/question/13729598

#SPJ1

Answer:

1

Step-by-step explanation:

The equation to represent this would be (1 - (1 / 3)) / 2

1 - (1 / 3) = 2 / 3

2 / 3 / 2 = 1 / 3

interest rate- 4%, monthly payment- $275.96, total payment- $16,556.51

interest rate- 6%, monthly payment- $292.65, total payment- $17,359.22

interest rate- 8%, monthly payment- $310.74, total payment- $18,244.54

interest rate- 10%, monthly payment- $329.51, total payment- $19,370.40

What does money interest mean?

You pay interest on any loans or borrowings of money. the portion of the loan's value that lenders use to calculate interest. Consumers can earn interest by lending money (via a bond or certificate of deposit, for example), or by putting money into an interest-bearing bank account.

To calculate the monthly payment and total payment, you can use the following formulas:

Monthly Payment: (loan amount * interest rate) / (1 - (1 + interest rate)^-n)

Total Payment: Monthly Payment * number of payments

Where the loan amount is 14450, the interest rate is the percentage given, n is the number of payments (12*5) and the interest is compounded monthly.

Keep in mind that all the values are approximate, and these calculations are based on the assumption that all payments are made on time and there are no additional charges or fees. It's important to check with the lender to get exact numbers and terms of the loan.

Learn more about interest

https://brainly.com/question/25793394

#SPJ1

Answer:

Moses ran 8 Luis ran 12.

Step-by-step explanation:

.

Number of laps to Louis run is 12 when Moses ran 8 laps.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3

Now,

Since,  The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3

So, Number of laps Moses ran = 2x

And, Number of laps Louis ran = 3x

If Moses ran 8 laps.

Then, we get;

2x = 8

x = 4

Then, Number of laps Louis ran = 3x

                                                 = 3 × 4

                                                 = 12

Thus, Number of laps to Louis run is 12 when Moses ran 8 laps.

Learn more about the ratio visit:

https://brainly.com/question/25927869

#SPJ2

Answer:

Hes 3

Step-by-step explanation:

its 1/4 of 12 = 3

Answer:

43.

Step-by-step explanation:

12 • 4 - 5 = 43. Mr Anderson is 43.

Answer:54 degrees

Step-by-step explanation:

If u want to find non you subtract the degrees you already have so it's would be 80-34=54

The 99.9% confidence interval for the mean mathematics SAT score is 462 ± 38, which is approximately 424 < u < 50O and If the sample size were 155 rather than 175, the margin of error would be larger.

Explanation: -

(a) To construct a 99.9% confidence interval for the mean mathematics SAT score, we'll use the given information, where the current interval is 424 < u < 500.

First, we need to find the margin of error (ME) in the current interval:

ME = (Upper limit - Lower limit) / 2
ME = (500 - 424) / 2
ME = 76 / 2
ME = 38

Now, we'll use the formula for the confidence interval:

Confidence interval = sample mean ± (ME)

Given that the sample size is 175, we'll calculate the sample mean:

Sample mean = (Lower limit + Upper limit) / 2
Sample mean = (424 + 500) / 2
Sample mean = 924 / 2
Sample mean = 462

So, the 99.9% confidence interval for the mean mathematics SAT score is 462 ± 38, which is approximately 424 < u < 500, as given.

If the sample size were 155 rather than 175, the margin of error would be larger. The reason for this is that the margin of error is inversely proportional to the square root of the sample size. As the sample size decreases, the margin of error increases, making the confidence interval wider. In other words, a smaller sample size provides less information and less certainty about the population mean, so the interval needs to be wider to maintain the same level of confidence (99.9% in this case).

Know more about the "Confidence interval" click here:

https://brainly.com/question/13067956

#SPJ11

Answer: 11 hours :)

Step-by-step explanation: 1215-445=770, 770 divided by 70=11 so 11 days

Answer:

-3a + 6 + 36a = 32a + 4

a = - 2

Answer:

900 miles

Step-by-step explanation:

Given that:

Distance from City A to city B = 1400 miles

Distance from City A to City C = 500 miles

Miles farther city B is from city A than city C is ;

Distance from A to B - Distance from A to C

1400 miles - 500 miles

= 900 miles

The reliability of a study using multiple regression analysis depends on a, b, and c, but not d.

Regression analysis depends on Omitted variable bias refers to the problem of leaving out important variables from the regression model that could affect the dependent variable. This can lead to biased and inconsistent estimates of the regression coefficients.

Errors-in-variables refer to measurement errors in the independent or dependent variables. These errors can result in biased and inconsistent estimates of the regression coefficients.

Homoskedasticity in the error term refers to the condition where the variance of the error term is constant across all values of the independent variables. This is important because it ensures that the regression coefficients are unbiased and efficient.

External validity refers to the ability to generalize the findings of a study to other populations or settings. While important for the overall usefulness of the study, it does not affect the reliability of the multiple regression analysis itself. So, regression analysis depends on a,b,c but not on d.

To know more about regression analysis:

https://brainly.com/question/30011167

#SPJ4

Answer:

2

Step-by-step explanation: