The locksmith is 37.9 kilometers west of the bank and 77.9 kilometers west of the garbage dump. The garbage dump is 128.6 kilometers east of the pet store. The pet store is 35.0 kilometers north of the hardware store. Which is closer to the pet store, the hardware store or the locksmith?

Answer:

[tex] s = \sqrt{30} - 2\sqrt{5} m [/tex]

Step-by-step explanation:

Given:

Formula for side length of cube, [tex] s = \sqrt{\frac{SA}{6} [/tex]

Where, S.A = surface area of a cube, and s = side length.

Required:

Difference in side length between a cube with S.A of 180 m² and a cube with S.A of 120 m²

Solution:

Difference = (side length of cube with 180 m² S.A) - (side length of cube with 120 m² S.A)

[tex]s = (\sqrt{\frac{180}{6}}) - (\sqrt{\frac{120}{6}})[/tex]

[tex] s = (\sqrt{30}) - (\sqrt{20}) [/tex]

[tex] s = \sqrt{30} - \sqrt{4*5} [/tex]

[tex] s = \sqrt{30} - 2\sqrt{5} m [/tex]

Answer:

a) Means: 24 and 2; Extremes: 4 and 12

b) Means: 6 and 16; Extremes: 24 and 4

c) Means: 8 and 8; Extremes: 4 and 16

d) Means: 50 and 3; Extremes: 6 and 25

Step-by-step explanation:

The Means and Extremes in a proportion are defined based on the writing the proportion in one lie using colons the indicate the fraction, like in:

a : b = c : d The extremes values here are those that you see at the extreme left and extreme right of that expression. That is: a, and d.

The Means are the values that appear in the middle of the one line expression, that is: b and c.

Recall as well that the proportion can also be written with fractions:

a : b = c : d  is the same as:   a / b = c / d

so convert the expression to a one line with colons when the question comes in fraction form, and that way you can answer.

Answer:

2 * 3 + 4 * 5 = 26

5 * 7 + 1 * 8 = 43

Step-by-step explanation:

Given

_ * _ + _ * _ = _ _

Required

Fill in the boxes with digits 0 to 9

From the question we understand that the result must be two digits i.e. _ _

To solve this, we'll make use of trial by error method:

Fill the first two boxes wit 2 and 3: _ * _ becomes 2 * 3

Fill the next two boxes with 4 and 5: _ * _ becomes 4 * 5

So,we have

2 * 3 + 4 * 5

6 + 20

26

Hence, the first combination is 2 * 3 + 4 * 5 = 26

Another possible combination is:

Fill the first two boxes wit 5 and 7: _ * _ becomes 5 * 7

Fill the next two boxes with 1 and 8: _ * _ becomes 1 * 8

So,we have

5 * 7 + 1 * 8

35 + 8

43

Hence, another combination is 5 * 7 + 1 * 8 = 43

Note that; there are more possible combinations

Answer:

Step-by-step explanation:

Let the point P is origin (0, 0), segment AB lies on the x-axis and segment PC on the y-axis,

Coordinates of A, B and C will be (1, 0), (2, 0) and (0, 2).

When triangle ABC is dilated by a scale factor 4 about the origin,

Rule for dilation;

(x, y) → (4x, 4y)

New coordinates of the points A, B and C will be,

A(1, 0) → A'(4, 0)

B(-2, 0) → B'(-8, 0)

C(0, 2) → C'(0, 8)

By plotting points A', B' and C' we can get the dilated image A'B'C'.

Dilation involves changing the size of a shape.

Assume point P is the center of origin, then we have the following coordinates of ABC

[tex]A = (1,0)[/tex]

[tex]B = (-2,0)[/tex]

[tex]C = (0,2)[/tex]

The scale factor (k) is given as:

[tex]k= 4[/tex]

So, the dilation rule is represented as:

[tex](x,y) \to (4 \times (x,y)[/tex]

Using the above dilation rule, the following coordinates represent the image of triangle ABC

[tex]A' = (4,0)[/tex]

[tex]B' = (-8,0)[/tex]

[tex]C = (0,8)[/tex]

See attachment for the image of the dilation.

Read more about dilation at:

https://brainly.com/question/8532602

Answer:

P value = 0.1575

Step-by-step explanation:

Data provided in the question

t = 1.021

n = 33

[tex]\mu[/tex] = 98.6° F

Based on the above information, the P-value could be determined by using the excel spreadsheet i.e. shown in the attachment

So, the P value is 0.1575

The 1.021 denotes the test statistic

32 denotes degrees of freedom

And,

1 denotes one tailed alternative hypothesis.

Step-by-step explanation:

check the tile whose side length is divisible by both 150 and180 in such a way that you don't get decimal points

150÷4=37.5 so that is impossible

150÷8=18.75 so that is also impossible

150÷6=25 180÷6=30

so the six sided tile is applicable

Answer:

b

Step-by-step explanation:

y = x + 1

The correct answer is (B). The slope-intercept form of a line is y = mx + b. Since the line passes through (−1,2), there are three possibilities: the line will have a slope (the "m" in front of the "x" variable), it will be vertical (x = −1), or it will be horizontal (y = 2). Plug x = −1 into all four equations to see which equation is not satisfied. The only answer choice that doesn't give us y = 2 is (B).

Option B is correct.

Given:

Line A passes through the point [tex](-1,2)[/tex].

To find:

Which of the given equations cannot be the equation of line A.

Solution:

If Line A passes through the point [tex](-1,2)[/tex], it means the equation of Line A must be satisfied by the point

In option A, consider the given equation is:

[tex]y=1-x[/tex]

Substituting [tex]x=-1,y=2[/tex], we get

[tex]2=1-(-1)[/tex]

[tex]2=1+1[/tex]

[tex]2=2[/tex]

This statement is true. So, [tex]y=1-x[/tex] can be the equation of line A.

Similarly, check for the other options.

In option B,

[tex]y=x+1[/tex]

Substituting [tex]x=-1,y=2[/tex], we get

[tex]2=-1+1[/tex]

[tex]2=0[/tex]

This statement is false. So, [tex]y=x+1[/tex] cannot be the equation of line A.

In option C,

[tex]x=-1[/tex]

It is a vertical line and it passes through the point [tex](-1,2)[/tex] because the x-coordinate is [tex]-1[/tex]. So, [tex]x=-1[/tex] can be the equation of line A.

In option D,

[tex]y=x+3[/tex]

Substituting [tex]x=-1,y=2[/tex], we get

[tex]2=-1+3[/tex]

[tex]2=2[/tex]

This statement is true. So, [tex]y=x+3[/tex] can be the equation of line A.

Therefore, the correct option is B.

Learn more:

https://brainly.com/question/13078415

Answer:

to provide interest in the subject

As per my experience,I used to hate math and always scored less marks,the moment I was going to high school I realized the importance of math towards the future, see you'll find maths in nearly all subjects like the 3 sciences, economics, geography, business e.t.c

Why did you write this question at first?, just take some free time and think about it,the only best way to learn maths is to take maths positively as the best and most valuable subject,if you want to ace math you have to race it, challenge math like you'd challenge anyone to a game, practice math if it's your weakest point, practice is very much needed to skill maths and never be shy to ask your teachers whether you are studying online/offline. You'll need to get the shy behaviour out of you whether you like /don't like your teacher or your an average student.

Concentrate while learning math, whether there's noise in you background or not, Nothing can stop you in excelling math if you have full concentration, positiveness and the "will" to do so.

if you're next to your exams then just one thing, Start now!!

hope this helps!

Answer:

Step-by-step explanation:

Hello,

If n is even, it means that we can find k integer such that n = 2 * k.

Then n+1=2*k+1 is odd.

3n+1=6k+1=2*(3k)+1 where 3k is an integer so 3n+1 is odd.

3n = 2*(3k) is even.

Besides, if n+1 is odd we can find an integer p so that n+1=2p+1 so n = 2p is even.

3n+1 is odd means that we can find an integer q such that 3n+1=2q+1 so 3n=2q as 3 is not dividable by 2, it means that n is a multiple of 2, then n is even.

3n is even means that we can write 3n = 2z where z is an integer and again it means that n is a multiple of 2 and then n is even.

Thank you.

Answer:

13.59%

Step-by-step explanation:

Calculate the z-scores.

z = (x − μ) / σ

z₁ = (450 − 400) / 50

z₁ = 1

z₂ = (500 − 400) / 50

z₂ = 2

Use a chart or calculator to find the probability.

P(1 < Z < 2)

= P(Z < 2) − P(Z < 1)

= 0.9772 − 0.8413

= 0.1359

Answer:

13.5

Step-by-step explanation:

Acellus sux

Answer:

Error in calculated area = [tex]\pm 10.3 cm^2[/tex]

Step-by-step explanation:

x = 58 cm

y = 45 cm

A = x*y

delta A

= delta (x*y)

= y delta x + x delta y  (neglecting small qty delta x * delta y = 0.01)

= 45(0.1) + 58(0.1)

= 103(0.1)

= 10.3 cm^2

Answer:

x =2

Step-by-step explanation:

(x+4) /3 = 2

Multiply each side by 3

(x+4) /3  *3= 2*3

x+4 = 6

Subtract 4

x+4-4 = 6-4

x =2

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 2

▹ Step-by-Step Explanation

[tex]\frac{x + 4}{3} = 2\\\\3 * 2 = 6\\\\x + 4 = 6\\\\x = 2[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Complete Question

In a genetic experiment on peas, one sample of offspring contained 436 green peas and 171 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected? The probability of getting a green pea is approximately: Is the probability reasonably close to 3/4?

Answer:

The  probability is  [tex]P(g) =0.72[/tex]

Yes the result is reasonably close

Step-by-step explanation:

From the question we are told that

   The  number of  of  green peas is  [tex]g = 436[/tex]

     The number of yellow peas is  [tex]y = 171[/tex]

   The sample size is  [tex]n = 171 + 436 = 607[/tex]

The probability of getting an offspring pea that is green is mathematically represented as

       [tex]P(g) = \frac{g}{n}[/tex]

        [tex]P(g) = \frac{436}{607}[/tex]

        [tex]P(g) =0.72[/tex]

Comparing  [tex]P(g) =0.72[/tex]  to   [tex]\frac{3}{4} = 0.75[/tex] we see that the result is reasonably close

Answer:

A consistent of equations has at least one solution,and an inconsistent system has no solution, watch an example of analyzing a system to see if its consistent or inconsistent.

Answer:  see below

Step-by-step explanation:

Consider the standard form of a linear equation in Slope-Intercept form:

        y = mx + b    where

A CONSISTENT system of equations is where the equations have different slopes OR the same slope and y-intercept.

This results in the lines crossing so they have at least one solution.

An INCONSISTENT system of equations is where the equations have the same slope but different y-intercepts.

This results in parallel lines so they have no solutions.

Answer:

B

Step-by-step explanation:

X must not be equal to -6, -1, 1 or 3

Answer: 4150

Step-by-step explanation:

You take the 50, becuse the amount earned increases once you surpass 40 you do 40 x 10 and that = 4000 then you take the remaining 10 and times that by 15 (becuse after 40 it is 1.5 of what you where earning before you hit 40 hours and half of ten is 5 so you do 10 plus 5 and times that by 10) then add both numbers together and you have 4150! Hope that helped!

Answer:

a) dV(s)  =  15,386 cm³

b) dS(s) = 4,396 cm²

c) dV(s)/V(s) = 1,07 %    and   dS(s)/ S(s)  =  0,71 %

Step-by-step explanation:

a) The volume of the sphere is

V(s) = (4/3)*π*x³        where x is the radius

Taking derivatives on both sides of the equation we get:

dV(s)/ dr  =  4*π*x²    or

dV(s)  =  4*π*x² *dr

the possible propagated error in cm³ in computing the volume of the sphere is:

dV(s)  = 4*3,14*(7)²*(0,025)

dV(s)  =  15,386 cm³

b) Surface area of the sphere is:

V(s) = (4/3)*π*x³  

dV(s) /dx  =  S(s) = 4*π*x³

And

dS(s) /dx  = 8*π*x

dS(s) = 8*π*x*dx

dS(s) = 8*3,14*7*(0,025)

dS(s) = 4,396 cm²

c) The approximates errors in a and b are:

V(s) =  (4/3)*π*x³     then

V(s) = (4/3)*3,14*(7)³

V(s) = 1436,03 cm³

And  the possible propagated error in volume is from a)  is

dV(s)  =  15,386 cm³

dV(s)/V(s)  = [15,386 cm³/1436,03 cm³]* 100

dV(s)/V(s) = 1,07 %

And for case b)

dS(s) = 4,396 cm²

And the surface area of the sphere is:

S(s) =  4*π*x³        ⇒   S(s) =  4*3,14*(7)²    ⇒ S(s) = 615,44 cm²

dS(s) = 4,396 cm²

dS(s)/ S(s)  =  [ 4,396 cm²/615,44 cm² ] * 100

dS(s)/ S(s)  =  0,71

Answer:

138600 arrangements

Step-by-step explanation:

Let n = 11

The different arrangements Jean Paul can make = n!/(4!)(3!)(2!)

Hence, 11!/(4!)(3!)(2!) = 1663200/12 = 138600

Answer:

The P-Value is  0.07186  

Step-by-step explanation:

GIven that :

Mean = 70

standard deviation = 3.5

sample size n = 49

sample mean = 69.1

The null hypothesis and the alternative hypothesis can be computed as follows;

[tex]H_o : \mu = 70 \\ \\ H_1 : \mu \neq 70[/tex]

The standard z score formula can be expressed as follows;

[tex]\mathtt{z = \dfrac{\overline X - \mu}{\dfrac{\sigma}{\sqrt{n}}}}[/tex]

[tex]\mathtt{z = \dfrac{69.1 - 70}{\dfrac{3.5}{\sqrt{49}}}}[/tex]

[tex]\mathtt{z = \dfrac{-0.9}{\dfrac{3.5}{7}}}[/tex]

z = -1.8

Since the test is two tailed and using the Level of significance = 0.05

P- value = 2 × P( Z< - 1.8)

From normal tables

P- value = 2 × (0.03593)

The P-Value is  0.07186  

Answer:

[tex] {(x - 3)}^{2} + {(y + 5)}^{2} = {5}^{2} [/tex]

Step-by-step explanation:

First find the radius

Which is the distance between the 2 points.

Radius =5

The answer in the standad form is above.

The equation of the circle in Standard Form is (x - 3)² + (y + 5)² = 25

The standard equation of a circle is given as:

(x - a)² + (y - b)² = r²

where (a, b) is the center of the circle and r is the radius of the circle.

Given the center as (3, -5) hence the radius of the circle is the distance between (3, -5) and (-1, -8). Hence:

[tex]Radius=\sqrt{(-8-(-5))^2+(-1-3)^2} \\\\Radius=5\ units\\[/tex]

hence:

(x - 3)² + (y - (-5))² = 5²

(x - 3)² + (y + 5)² = 25

The equation of the circle in Standard Form is (x - 3)² + (y + 5)² = 25

Find out more at: https://brainly.com/question/13658927

Answer:

No. of 1 pt free throws = 5, No. of 2 pt goals = 8, No. of 3 pt goals = 4

Step-by-step explanation:

Equations : x + y + z = 17 [ Total times taken to score ]

1x + 2y + 3z = 33 [ Total Score ]

Also, y = x + 3

Putting the value of 'y' in both equations :

x + (x + 3)+ z = 17 → 2x + 3 + z = 17 → 2x + z = 14  (i)

1x + 2 (x + 3) + 3z = 33 →  x + 2x + 6 + 3z = 33 → 3x + 3z = 27 (ii)

Solving these equations :

From (i), z = 14 - 2x

Putting this value in (ii), 3x + 3(14 - 2x) = 27 → 3x + 42 - 6x = 27

42 - 3x = 27 → 3x = 15 → x = 5

y = x + 3 = 5 + 3 → y = 8

z = 17 - x - y → z = 17 - 5 - 8 = 17 - 13 → z = 4

Answer:

4

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Answer:

The answer is "[tex]AB= \left[\begin{array}{cc} -2 &51 \\-8&33\\0&27&\end{array}\right][/tex]"

Step-by-step explanation:

If the value of A and B is:

[tex]A= \left[\begin{array}{cc}-1&6\\-4&5\\0&3\end{array}\right][/tex]

[tex]B=\left[\begin{array}{cc}2&3\\0&9\end{array}\right][/tex]

Find the value of A[tex]\times[/tex]B:

[tex]AB =\left[\begin{array}{cc}-1 \times 2+6 \times 0 &-1 \times 3+6 \times 9\\ -4 \times 2+5 \times 0& -4 \times 3+5 \times 9\\ 0 \times 2+3 \times 0&-1 \times 2+3\times 9\end{array}\right] \\ \\\\AB =\left[\begin{array}{cc}-2+0 &- 3+54\\ -8+0& -12+45\\ 0+ 0&-2 +27\end{array}\right] \\ \\[/tex]

[tex]AB= \left[\begin{array}{cc} -2 &51 \\-8&33\\0&27&\end{array}\right][/tex]

Answer:

The value of 1/3x-3/4 when x=1/4 is 0.08333 repeated.

Step-by-step explanation:

1 inch = four 1/4’s

1 inch = 4 feet

6 X 4 = 24 feet

3/4 inches = 3 feet.

6 3/4 inches = 27 feet

4 x 4 = 16

1/2 inch = 2 feet

4 1/2 inches = 18 feet

Room is 27 feet x 18 feet

Answer:

Step-by-step explanation:

Given

Total Number of Cards = 52

Required

Probability of not picking a spade

Let P(S) represents the probability of picking a spade;

[tex]P(S) = \frac{n(S)}{Total}[/tex]

Where n(S) is the number of spades

[tex]n(S) = 13[/tex]

Substitute [tex]n(S) = 13[/tex] and 52 for Total

[tex]P(S) = \frac{13}{52}[/tex]

[tex]P(S) = \frac{1}{4}[/tex]

Let P(S') represents the probability of not picking a spade

In probability;

[tex]P(S) + P(S') = 1[/tex]

Substitute [tex]P(S) = \frac{1}{4}[/tex]

[tex]\frac{1}{4} + P(S') = 1[/tex]

[tex]P(S') = 1 - \frac{1}{4}[/tex]

[tex]P(S') = \frac{4-1}{4}[/tex]

[tex]P(S') = \frac{3}{4}[/tex]

[tex]P(S') = 0.75[/tex]

Hence, the probability of not selecting a spade is 3/4 or 0.75

Answer:

a. 17

Step-by-step explanation:

The pattern is add 5 then subtract 2

Answer:

Step-by-step explanation:

Let x represent the amount invested at 6%. Then 30000-x is the amount invested at 5%. Leila's total earnings for the year are ...

  0.06x +0.05(30000-x) = 1580

  0.01x +1500 = 1580 . . . . . . . . . . . . simplify

  0.01x = 80 . . . . . . . . . . . subtract 1500

  x = 8000 . . . . . . . . . . . . multiply by 100

Leila invested $8000 at 6% and $22000 at 5%.