1) The endpoints of AB are A(-3, 8) and B(4,5). If AB is
dilated by a scale factor or 2, what is the slope and length
of A'B?
No links pls!!!

Answer:

[tex]4\frac{1}{12}[/tex] miles.

Step-by-step explanation:

The goal of the family is to hike [tex]11 \frac{2}{3}[/tex] miles in total. Converting this to an improper fraction, we need a total of  [tex]\frac{35}{3}[/tex] miles.

On Monday the family completed [tex]2 \frac{1}{12}[/tex] miles, or [tex]\frac{25}{12}[/tex] miles.

On Tuesday the family completed [tex]2 \frac{1}{3}[/tex] miles, or [tex]\frac{7}{3}[/tex] miles.

On Wednesday the family completed [tex]3 \frac{1}{6}[/tex] miles, or [tex]\frac{19}{6}[/tex] miles.

Next, we can add the total amount of hiking the family has completed from Monday-Wednesday.

[tex]distance= \frac{25}{12} + \frac{7}{3} + \frac{19}{6}[/tex]

In order to add these values, we need to convert all of the fractions so that they have the same denominator. The least common multiple (LCM) of 12, 3, and 6 is 12, so the fractions can all be converted into having a denominator of 12.

Monday's distance [tex]\frac{25}{12}[/tex] already has a denominator of 12.

Tuesday's distance is [tex]\frac{7 * 4}{3 * 4} = \frac{28}{12}[/tex].

Wednesday's distance is [tex]\frac{19 * 2}{6 * 2} = \frac{38}{12}[/tex].

Convert the total distance goal to have a denominator of 12 as well. [tex]\frac{35 * 4}{3 * 4} = \frac{140}{12}[/tex].

Sum the total distance the family has walked on Monday-Wednesday. [tex]\frac{25}{12} + \frac{28}{12} + \frac{38}{12} = \frac{91}{12}[/tex].

Subtract this value from the total hiking distance. [tex]\frac{140}{12} - \frac{91}{12} = \frac{49}{12}[/tex]. The family needs to walk [tex]\frac{49}{12}[/tex] miles, or [tex]4 \frac{1}{12}[/tex] miles on Thursday to complete their goal.

As the question told , the goal of they hiking is reaching to the 11 2/3 hours of hiking which means :

The sum of the hours they hiking during those four days must equal 11 2/3 hours .

Suppose they hiking for x hours on Thursday so we have the following equation :

2 1/12 + 2 1/3 + 3 1/6 + x = 11 2/3

To simplify the addition and subtraction of fractions, we must find a common denominator between them ;

The smallest common multiple between the numbers 3, 6, and 12 is the denominator we want, which is 12. But because day 24 is easier to understand, I consider the common denominator of fractions to be 24.

2 + 2 + 3 + 1/12 + 1/3 + 1/6 + x = 11 + 2/3

7 + 2/24 + 8/24 + 4/24 + x = 11 + 16/24

7 + ( 2 + 8 + 4 )/ 24 + x = 11 + 16/24

7 + 14/24 + x = 11 + 16/24

Subtract sides minus 14/24

7 + 14/24 - 14/24 + x = 11 + 16/24 - 14/24

7 + 0 + x = 11 + 2/24

7 + x = 11 + 2/24

subtract sides minus 7

7 - 7 + x = 11 - 7 + 2/24

0 + x = 4 + 2/24

x = 4 + 1/12

x = 4 1/12

Answer:

C

Step-by-step explanation:

Answer:

When (3b³)² is simplified, it equals 3b⁶

Step-by-step explanation:

3 × 2 = 6

The exponent is 6

Answer:

70

Step-by-step explanation:

Answer:

21134 bacteria

Step-by-step explanation:

The given parametrs can be interpreted as:

[tex]y = 8(2.4)^t[/tex]

Required

Find y when t = 9

Substitute [tex]t = 9[/tex]

So:

[tex]y = 8(2.4)^9[/tex]

[tex]y = 8 * 2.4^9[/tex]

[tex]y = 8 * 2641.81[/tex]

[tex]y = 21134.48[/tex]

[tex]y = 21134[/tex] --- approximated

Hence, there are 21134 bacteria

Answer:

3 cups

Step-by-step explanation:

Answer:

Its 3

Step-by-step explanation:

you divide the volume value by 8

24 = 3

Answer:

V=3052.1 square units.

Step-by-step explanation:

Using the formulas

V=4

3πr^3

d=2r

Solving for V

V=1

1/6πd^3=1

1/6·3.14·18^3=3052.08

round to the nearest tenth place so your volume would be 3052.1 :)

Answer:

3052.1

Step-by-step explanation:

The formula for volume of a sphere: 4/3 x pi x r^3 (4/3 x pi x radius x radius x radius).

Here, only the diameter is shown. To find the radius, we must divide the diameter (18) by 2.

18 / 2 = 9

9 is the radius.

Now, we have our final equation:

4/3 x pi x radius x radius x radius

4/3 x 3.14 x 9 x 9 x 9 = 3052.08

(3.14 is commonly used for pi)

3052.08 rounded to the nearest tenth is 3052.1

Therefore, 3052.1 is the volume of the sphere.

Answer:

The value of x is 28°

Step-by-step explanation:

Here, In a given figure

4x + 3° ...(1)

2x + 9° ...(2)

Now, we know that the sum of all angle is 180° on a straight line

So,

4x + 3° + 2x + 9° = 180°

6x + 12° = 180°

6x = 180° - 12°

6x = 168°

x = 168° ÷ 6

x = 28°

Thus, The value of x is 28°

4x + 3° + 2x + 9° = 180°

4(28) + 3° + 2(28) + 9° = 180°

112° + 3° + 56° + 9° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

43.98

Step-by-step explanation:

Answer:

Positive 233

Step-by-step explanation:

7300-3280-2620-1167(14000/12)=233.

Answer:

n = 6

Step-by-step explanation:

Represent the unknown number by n.  Then 8 - n/3 = 6.

Consolidate the constants on the left side:  2 - n/3 = 0, or n/3 = 2.

Multiplying both sides by 3 results in:  n = 6

Answer:

63

Step-by-step explanation:

2(5)²+3(5)-2

50+15-2

using bodmas

65-2

63

Answer:

63

Step-by-step explanation:

up one over three

Step-by-step explanation:

start at 3

Answer:

The value of x is 25.83.

Step-by-step explanation:

Vertical angles:

If two angles are vertical, they have the same measure.

In this question:

Angle A has measure 5x + 6

Angle B has measure 6.2x - 25

Since they are vertical:

[tex]A = B[/tex]

[tex]5x + 6 = 6.2x - 25[/tex]

[tex]1.2x = 31[/tex]

[tex]x = \frac{31}{1.2}[/tex]

[tex]x = 25.83[/tex]

The value of x is 25.83.

Answer:

0.311 mile

Step-by-step explanation:

There are 3600 seconds in 1 hour.

Thus, 70 mph, when multiplied by the appropriate conversion factors, comes out to:

70 mi       1 hr

--------- * --------------- = 0.019 mi/sec

 1 hr       3600 sec

and so the desired distance is found by multipying (0.019 mi/sec) by 16 sec:

0.311 mile

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

Answer:

9 pounds and 3 ounces

Step-by-step explanation:

Althea needs 9 pounds and 3 ounces of cold cuts for her party.

To convert ounces to pounds, divide the number of ounces by 16 since there are 16 ounces in one pound.

147 divided by 16 is equal to 9.1875, which can be rounded to 9.

Then, to find the remaining ounces, multiply the decimal part of the result (0.1875) by 16.

This is equal to 3 ounces.

Therefore, 147 ounces is equal to 9 pounds and 3 ounces.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

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Answer:

it would be 145

Step-by-step explanation:

the two angles make a straight line, 180-35 is 145

Answer: 145

Step-by-step explanation:

supplementary angle rule: on a straight line, all angles add up to 180

180 = 35 + x

180 - 35 = x

145 = x

The magnetic flux of the following options are; 0.072, 0.062, 0.

The magnetic flux can be calculated by the given formula;

Flux = magnetic field B x area A x cos(angle between B and normal of A)

Given;

Magnetic field B = 2.25 T

The length ℓ = 0.420 m

Flux = 2.25 * 0.42^2 * cos(angle)

Flux = 0.072 * cos(angle)

a) The perpendicular to the magnetic field Wb

So, angle = 0°, flux = 0.072 Wb

b) 60.0° from the magnetic field Wb

So, angle = 30°,

flux = 0.072*cos(30) = 0.062 Wb.

c) parallel to the magnetic field Wb

So, angle = 90°, flux = 0

Learn more about magnetic flux here;

https://brainly.com/question/15655691

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Answer:

x = 45°

Step-by-step explanation:

x = 90° - 45° = 45°

Answer:

Hypotenuse = 85 cm

Hypotenuse = 89 cm

Hypotenuse = 103.08 cm (Approx.)

Hypotenuse = 54.71 cm (Approx.)

Step-by-step explanation:

Shape 1

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √36² + 77²

Hypotenuse = √1,296 + 5,929

Hypotenuse = √7,225

Hypotenuse = 85 cm

Shape 2

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √39² + 80²

Hypotenuse = √1,521 + 6,400

Hypotenuse = √7,921

Hypotenuse = 89 cm

Shape 3

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √25² + 100²

Hypotenuse = √625 + 10,000

Hypotenuse = √10,625

Hypotenuse = 103.08 cm (Approx.)

Shape 4

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √17² + 52²

Hypotenuse = √289 + 2,704

Hypotenuse = √2,993

Hypotenuse = 54.71 cm (Approx.)

Answer:

284.625

Step-by-step explanation:

Arrange the numbers highest to lowest.

Find the middle value in the arrangement.

Answer:

D.

Step-by-step explanation:

divide 45 by 3

Answer:

31 IS YOUR ANSWER!!

Step-by-step explanation:

I would not mind the brainliest please!!

Answer:

Henry has $19, Dan has $57, and Melissa has $11

Step-by-step explanation:

Let x represent how much money Henry has

Since Dan has 3 times what Henry has, his amount is 3x

Since Melissa has $8 less than Henry, her amount is x - 8

Create an equation that sets these 3 values equal to 87, then solve for x

(x) + (3x) + (x - 8) = 87

5x - 8 = 87

5x = 95

x = 19

So, Henry has $19

Find how much Dan has by multiplying 19 by 3

19(3)

= 57

Find how much Melissa has by subtracting 8 from 19

19 - 8

= 11

So, Henry has $19, Dan has $57, and Melissa has $11

Answer:

Dan has $261 and Melissa has $79

By definition of tangent,

tan(2θ) = sin(2θ) / cos(2θ)

Recall the double angle identities:

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1

where the latter equality follows from the Pythagorean identity, cos²(θ) + sin²(θ) = 1. From this identity we can solve for the unknown value of sin(θ):

sin(θ) = ± √(1 - cos²(θ))

and the sign of sin(θ) is determined by the quadrant in which the angle terminates.

We're given that θ belongs to the third quadrant, for which both sin(θ) and cos(θ) are negative. So if cos(θ) = -4/5, we get

sin(θ) = - √(1 - (-4/5)²) = -3/5

Then

tan(2θ) = sin(2θ) / cos(2θ)

tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)

tan(2θ) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2θ) = 24/7

Answer:

Slope= -1/2

y-intercept= 2/3

Answer:

the area of the triangle ABC is ,then value of a is 27cm.

Solution:

Given Data:

Area of the triangle ABC is

To Find:

Value of a?

Step 1:

Step 2:

By Law of Sines

Simplify the above expression

--- eqn 1

Step 3:

Step 4:

Substitute the A, B and C value from the given Data.

Apply the Sin theta respective value.

From the above we finally got the value of "a" which is 27 cm.

Step-by-step explanation: