Find the slope of the line passing through the points (-5,1) and (2,4).
Enter your answer in as a fraction.

Answer:

The dimensions of the piece of metal can be represented by x and x+10.

Now, 2 in squares are being cut out of each corner.

So the new dimensions are x-4 (2in from each side) and x+10-4 or x+6.

When you fold it up, the height becomes 2 and the base has dimensions x-4 and x+6. Now plug this into the volume formula.

V=l*w*h

1302 = (x+6)(x-4)(2)

651   = x2+2x-24

0      = x2 + 2x-675

0      = (x+27)(x-25)

x=-27 reject since lengths cannot be negative or x=25.

So your original dimension for the piece of metal are 25 by 35.

Step-by-step explanation:

Answer:

Largest p value

Step-by-step explanation:

The p value is basically used to check if an effect is in existence. A high p value shows that the evidence is weak and cannot be used to say an effect exists.

A p value that is greater than 0.05 is considered to be large and it shows weak evidence against H0, the null hypothesis.

Therefore of the 10 variables, we can use the criterion of largest p values to eliminate one of the variables.

Answer:

i dont know the answer

Step-by-step explanation:

just put a random answer and hope for the best

Answer: h= 8

Step-by-step explanation:

-3h - 6(5h/3 + 7/2) + 9h = -53   Distribute on the left

-3h - 10h - 21 + 9h = -53   combine like terms  on the left side

-4h -21 = -53          Now add 21 to both sides

      +21    +21

-4h = -32               Divide both sides by -4

h = 8

Answer:

9√3

Step-by-step explanation:

simpilify the expression by multiplying exponents

= 3 1/9

using a m/n = n√a^m, transform to  9√3

Answer:

Option B

Step-by-step explanation:

(3^2/3)^1/6

=> Multiply the powers

=> 3^2/18

=> 3^1/9

In the above answer, 9 is the root. 1 is the power of 3

=> 9th root of 3.

So, the answer is B

Answer:

We can conclude that there is sufficient evidence to state that the companies claim is not false      

Step-by-step explanation:

From the question we are told that

    The  population proportion is  [tex]p = 0.35[/tex]

   The  level of significance is  [tex]\alpha = 0.10[/tex]

    The sample  size is  n  =  50

Generally the  sample proportion is mathematically represented as

     [tex]\r p = \frac{16}{50 }[/tex]

    [tex]\r p = 0.32[/tex]

The null hypothesis is  [tex]H_o : p\ge 0.35[/tex]

The  alternative  hypothesis is  [tex]H_a : p< 0.35[/tex]

Generally the standard error is evaluated as

      [tex]SE = \sqrt{ \frac{0.35 (1- 0.35 )}{ \sqrt{50 } } }[/tex]

      [tex]SE = 0.067[/tex]

So  

    The test statistics is  evaluated as

                [tex]t = \frac{\r p - p }{ SE }[/tex]

=>             [tex]t = \frac{0.32 - 0.35 }{ 0.067 }[/tex]

=>             [tex]t = -0.45[/tex]

The  p-value is obtained from the z-table  , the values is  

       [tex]P( Z < -0.45) = 0.32636[/tex]

From the calculation we see that

        [tex]p-value > \alpha[/tex] so we fail to reject the null hypothesis

Hence we can conclude that there is sufficient evidence to state that the companies claim is not false

Answer:

-x² + 12x + 5

Step-by-step explanation:

Step 1: Write out expression

x² + 3x - 2x² + 9x + 5

Step 2: Combine like terms

-x² + 3x + 9x + 5

Step 3: Combine like terms

-x² + 12x + 5

Answer:

-x² + 12x + 5

Step-by-step explanation:

Answer:

6 S's in the sentence

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's simplify step-by-step.

[tex]root^2 + root^{32} + root^{64}[/tex]

[tex]= o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}[/tex]

Answer : [tex]\boxed{o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

86.64%

Step-by-step explanation:

We solve for the above question using z score formula

z score formula = z = (x - μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = 350, μ = 500, σ = 100

z score = 350 - 500/100

= -150/100

= -1.5

Using the z score for normal distribution

Probability (z = -1.5) = P(x = 350).

= 0.066807

For x = 650, μ = 500, σ = 100

z score = 650 - 500/100

= 150/100

= 1.5

Using the z score for normal distribution

Probability (z = 1.5) = P(x = 650).

= 0.93319

The probability of people who write this exam and obtain scores between 350 and 650

P < 350 < x < 650 = P(x ≤ 650) - P(x ≤ 350)

= P(z = 1.5) - P(z = -1.5)

= 0.93319 - 0.066807

= 0.866383

Therefore, the percent of people who write this exam and obtain scores between 350 and 650 is

0.866383 × 100

= 86.6383%

Approximately ≈ 86.64%

Answer: y=34

Step-by-step explanation:

input  -2 into the equation and solve for  y.

y= 8 - 5(-2) + 4(-2)^2

y = 8 + 10 + 4 * 4

y = 8 + 10 + 16

y= 18 + 16

y = 34

Answer:

34

Step-by-step explanation:

We simply plug in x = -2 into the equation so when x = -2:

y = 8 - 5 * (-2) + 4 * (-2)² = 8 + 10 + 16 = 34.

Answer:

Step-by-step explanation:

2x+3x+4x=180 degrees

9x=180 fdegrees

x=180/9

x=20

2x=40

3x=60

4x=80

Answer:

18

Step-by-step explanation:

The measures of the angles of a triangle are in the ratio 2:3:4 means we have one interior angle measuring 2x, another measuring 3x, and the last one measuring 4x. We know the sum of the measures of the interior angles of a triangle is 180 degrees.

We need to solve the following equation to find first x, and then find the measurement of each interior angle of the triangle.

2x+3x+4x=180

(2+3+4)x=180

(9)x=180

x=180/9

x=20

So one interior angle measures 2x=2(20)=40.

Another measures 3x=3(20)=60.

The last measuring 4x=4(20)=80.

The exterior angles of this triangle therefore measure the following:

180-40=140

180-60=120

180-80=100

So the un-simplified ratio of the measures of the exterior angles is as follows:

140:120:100.

Let's simplify that.

It is easy to see each number is divisible by 10.

Let's reduce it by dividing each by 10:

14:12:10

Let's simplify more (as we want the most simplified ratio).

Each number is divisible by 2 since they are all even.

Let's reduce again but not by dividing by 2:

7:6:5

So the simplified ratio of the measures of the exterior angles of the triangle is a:b:c=7:6:5 and so a+b+c=7+6+5=18.

Answer is 18.

Answer:

60h +16 is the answer. If you wanna simpifiy it and the rule still applies then 60 times 4 =240 plus 16 which is 256. 256 is the Simplest anwser.

Step-by-step explanation:

Answer:

  A.  $2.26

Step-by-step explanation:

An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...

  H(t) = 110(1.035)^t

For t = 2, the two balances will be ...

  H(2) = 110(1.035^2) = 117.83

  R(2) = 110(1.025^2) = 115.57

The difference is ...

  $117.83 -115.57 = $2.26

Harper's account will have $2.26 more.

_____

As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.

Answer:

(BD/DA) = (CE/EA)

slope is calculated using rise over run, and the ratios represent the rise over the run

Answer:

[tex]192686[/tex]

Step-by-step explanation:

23×99×90+54+23-12321

=2277×90+54+23-12321

=204930+54+23-12321

=204984+23-12321

=205007-12321

=192686

Answer:

192686 is answer.

Step-by-step explanation:

= 23*99*90+54+23-12321

= 204930 +77-12321

= 205007 -12321

= 192686.

It looks like you want to find the height of the green region. If so then that would be about 5.2 mL since the top part of the green area is around the first smaller tick above the 5.

Each smaller tickmark is 1/5 = 0.2 of a full unit. Note how there are 5 smaller tickmark spaces to make up a full unit (when we go from 5 to 6, there are 5 smaller tickmark spaces we have to move)

Answer:

the anser is 9.5+1.5n and the second ansr is 48x+16

Answer:

a

Step-by-step explanation:

Answer:

  (-1, 0), (-1, -5)

Step-by-step explanation:

The initial translation transformation was ...

  (x, y) ⇒ (x +4, y)

Then the reflection across the line y=x added the transformation ...

  (x, y) ⇒ (y, x)

So, the result of the composition of transformations was ...

  (x, y) ⇒ (y, x+4)

Then the reverse transformation, the one that gets from the image back to the pre-image, will be ...

  (y, x+4) ⇒ (x, y)

  (x, y) ⇒ (y-4, x)

The points A", B", C", D" will be transformed back to pre-image points ...

  A"(-4, 5) ⇒ A(1, -4)

  B"(-1, 5) ⇒ B(1, -1)

  C"(0, 3) ⇒ C(-1, 0) . . . . . . matches an answer choice

  D"(-5, 3) ⇒ D(-1, -5) . . . . . matches an answer choice

Answer:

[tex]\mathbf { \int _ c Fdr= - \dfrac{9 \pi ^2}{8} - \dfrac{3}{2} }[/tex]

Step-by-step explanation:

GIven that:

[tex]r(t) = (sin \ t, cos \ t, t)[/tex]

[tex]r' (t) = (cos \ t, -sin \ \ t, 1)[/tex]

[tex]F(x, y, z) = ( -x, -2y , - z)[/tex]

[tex]F(r(t)) = ( sin \ t , - 2 cos \ t, - 1 t)[/tex]

[tex]F(r(t)) \times r'(t) = (sin \ t, - 2 \ cos \ t , -1 \ t)( cos \ t , - sin \ t , 1 )[/tex]

[tex]= sin t \ cos t + 2 \ sin t \ cos t - 1t[/tex]

[tex]= 3sint \ cost - 1 t[/tex]

[tex]\int _ c Fdr = \int ^b_a f(r(t)) \times r'(t) \ dt[/tex]

[tex]= \int^{3 \pi/2}_0 \ [3 sin \ t \ cos \ t - 1 \ t ] \ dt[/tex]

[tex]= 3 \int ^{3 \pi/2} _0 \ cos \ t ( sin \ t \ dt ) - 1 \int ^{3 \pi/2}_0 \ (t) \ dt[/tex]

Let   cos t = u   &

sint  dt = du

[tex]= 3 \int ^{3 \pi/2_} } _0 \ udu - 1 \int ^{3 \pi/2}_0 \ (t) \ dt[/tex]

[tex]= 3 [ \dfrac{u^2}{2}]^{3 \pi/2}_0 - 1 [ \dfrac{t^2}{2}]^{3 \pi/2}_0[/tex]

[tex]= \dfrac{3}{2} [ cos ^2 \ t ] ^{3 \pi/2} _0- \dfrac{1}{2} ( \dfrac{ 3 \pi }{2 })^2 - 0^2[/tex]

[tex]= \dfrac{3}{2} [ cos ^2 \ \dfrac{3 \pi}{2} - cos ^2 \ 0 ] - \dfrac{1}{2}( \dfrac{9 \pi^2}{4})[/tex]

[tex]= \dfrac{3}{2} ( 0 -1 ) - \dfrac{9 \pi^2}{8}[/tex]

[tex]= - \dfrac{3}{2} - \dfrac{9 \pi ^2}{8}[/tex]

[tex]\mathbf { \int _ c Fdr= - \dfrac{9 \pi ^2}{8} - \dfrac{3}{2} }[/tex]

To answer this question, we apply:

∫CF×dr = ∫ c F (r(t)) × dr

Solution is:

( 1/2)  - (9/8)×π

We know  r(t) =  sint i + cost j + t k

Then  dr = ( cost i - sint j + k ) dt

And  F ( x , y , z ) = -x i - 2y j - z k

Then  F ( r(t)) =  - sint i - 2 × cost j - t × k

And F ( r(t)) × dr  = (- sint×cost + 2 ×sint ×cost - t ) dt

∫F (r(t)) × dr = ∫ (- sint×cost + 2 ×sint ×cost - t ) dt  

Integration limits 0≤  t  ≤ ( 3/2 ) π

∫ (- sint×cost + 2 ×sint ×cost - t ) dt  = ∫ ( sint ×cost - t ) dt

∫ sint ×cost × dt  - ∫ t ×  dt

∫F (r(t)) × dr = (1/2) sin²t  - ( 1/2) × t² | 0  y  (3/2) π

∫F (r(t)) × dr = (1/2)× ( -1)² - 0 - ( 9/8 ) × π - 0

∫F (r(t)) × dr = ( 1/2)  - (9/8)×π

Related Link :https://brainly.com/question/3645828

Answer:

We conclude that the board's length is equal to 2564.0 millimeters.

Step-by-step explanation:

We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.

Let [tex]\mu[/tex] = population mean length of the board.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 2564.0 millimeters    {means that the board's length is equal to 2564.0 millimeters}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 2564.0 millimeters      {means that the boards are either too long or too short}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                             T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s }{\sqrt{n}} }[/tex]  ~  [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean length of boards = 2559.5 millimeters

            s = sample standard deviation = 15.0 millimeters

             n = sample of boards = 26

So, the test statistics =  [tex]\frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }[/tex]  ~   [tex]t_2_5[/tex]

                                     =  -1.529    

The value of t-test statistics is -1.529.

Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the board's length is equal to 2564.0 millimeters.

The -2/5 means we go to the left 2/5 of a full unit. So we take 2 small little steps (going over 2 little tickmarks), then we move 4 small steps to the right due to the +4/5 portion. Ultimately, we end up at 2/5 as the answer

So -2/5 + 4/5 = 2/5

This can be thought of as -2+4 = 2, then you just stick 5 in the denominator for each term.

Answer:

B

Step-by-step explanation:

This is because to write a polynomial in standard form they are arranged from the highest degree to the lowest degree.

[tex] {x}^{3} \: carries \:the \: \: highest \: degree\: which \: is \: 3.[/tex]

Answer:

E(Y) = √a + √(a+12)

Step-by-step explanation:

X1 and X2 are independent variables while Y is the dependent variable, such that

Y = f(X1, X2)

Meaning Y is a function of X1 and X2

In this case,

Y = 2√X1X2

When (X1, X2) = (a, 1) ; Y = 2√a

When (X1, X2) = (a+12, 1) ; Y = 2√a+12

The expected value of Y is

[2√a + 2√a+12] ÷ 2  = √a + √a+12

Answer: 354500m²

Step-by-step explanation:

Area of the recreation park  = 560m x 700m

                                               = 392000m²

Area used for soccer and baseball = 250m x 150m

                                                          = ¹⁵⁰⁰⁰⁰/₄

                                                          = 37500m².

Area of the remaining park  = 392000 - 37500

                                              = 354500m²

Answer:

x =2

Step-by-step explanation:

The x- intercept is when y = 0

Hence, 5x - 2y = 10

5x - 2(0) = 10

5x = 10

Therefore, x = 2

S = Total students

B = number that had bikes

M = number that had a master card

P = number that had a phone

S = 200

B = 110

M = 25

P = 130

BM = 50

MP = 30

BP = 60

BMP = 10

B + M + P = 110 + 25 + 130 = 265

BM + MP + BP - BMP = 50 + 30 + 60 -10 = 130

265 - 130 = 135

Students that had none of the three = 200 - 135 = 65

Answer:

see below (I hope this makes sense and I hope it helps!)

Step-by-step explanation:

Points are found in the form (x, y) where x represents the x - value which is basically how far you move from the origin on the x-axis, and the same goes for y except it represents how far you move from the origin on the y-axis. A positive x means you move right, a negative x means you move left, a positive y means you move up and a negative y means you move down. Following these rules, to plot (2, 3), you move 2 units right and 3 units up from the origin and to plot (3, 2), you move 3 units right and 2 units up from the origin. The difference between plotting the two points is that first of all, they are different points so they are in different locations and second, their coordinates are "flipped"; what I mean by that is the x-coordinate of the first point is the y-coordinate of the second point and vice versa. Therefore, you move the same amount but in different directions.

These points are similar.

They both lie in quadrant 1.

However, the x coordinate is different in each ordered pair.

So (3, 2) moves farther from the origin than (2 , 3).

However, (2, 3) moved farther up than (3, 2).

Take a look below.