Prime factorization


98

Answer:

t>15

Step-by-step explanation:

[tex]\boxed{-1<x<5}[/tex]

Option c.

In this exercise we have the following inequality:

[tex]-\mid x - 2 \mid + 9 > 6[/tex]

Step 1. Subtract 9 from both sides:

[tex]-\mid x - 2 \mid + 9-9 > 6-9 \\ \\ -\mid x - 2 \mid > -3[/tex]

Step 2. Multiply by -1 to both sides

[tex]\mid x - 2 \mid < 3 \ \text{The direction of the inequality changes when multiplying by -1}[/tex]

Step 3. Apply property

[tex]\mid x \mid <a \rightarrow -a<x<a[/tex]

So:

[tex]\mid x - 2 \mid < 3 \rightarrow -3<x-2<3 \\ \\ Adding \ 2: \\ \\ -3+2<x-2+2<3+2 \\ \\ \boxed{-1<x<5}[/tex]

So the correct option is C.

Answer:

C.$10,000

Step-by-step explanation:

Let X be the amount of initial investment, 6.5% be the compound interest, n=18years and $31,066 as the final amount:

#Using compound interest:

[tex]A=P(1+i)^n\\\\\Where \ A=31066,i=6.5\%, n=18,P=X\\\\31066=P(1+6.5\%)^{18}\\\\31066=P(1.065)^{18}\\\\P=\frac{31066}{3.106654}\\\\P\approx10000[/tex]

Hence, the amount initially ionvested is $10,000

Answer:

-3/4 is plotted 3 little tabs left of 0

5/4 is plotted 1 little tab right of 1

Answer: 13

Step-by-step explanation:

5+2x

When x=4

5+2(4)

5+8

= 13

Answer:

I got 38

Step-by-step explanation:

14 - 2 (-6) (2) = 38

Answer:

thats a great answer i got the same

Step-by-step explanation:

Answer:

y = 5

Step-by-step explanation:

The sum of all three angle measures of a triangle is ALWAYS equivalent to 180 degrees. Using this information, (4y + 10) + 75 + (3x) = 180

This is also an equilateral triangle, meaning those bottom two angles will be equivalent. 75 = 3x

So you can plug in the value for 3x into the first equation: (4y + 10) + 75 + 75 = 180

First, simplify the equation by adding the 75 and 75 together: (4y + 10) + 150 = 180

Now, subtract 150 from both sides of the equation: 4y + 10 = 30

Then subtract 10 from both sides: 4y = 20

And divide both sides by 4: y = 5

I hope this helps!

Answer:

y = 5

Step-by-step explanation:

75 / 3 = 3x / 3

25 = x

75 + 3(25) + 4y + 10 = 180

75 + 75 + 4y + 10 = 180

4y + 160 - 160 = 180 - 160

4y / 4 = 20 / 4

y = 5

Answer:  y = 5

Answer:

42.7

Step-by-step explanation:

Final answer:

To find out how far Antonio drove west, we can use the Pythagorean theorem. The distance driven north (26 miles) and the distance west form the two legs of a right triangle, with the total displacement from starting point (50 miles) as the hypotenuse. Solving the equation, we find Antonio drove approximately 42.70 miles west.

Explanation:

The question asks to determine how far Antonio drove west given that he first drove 26 miles north and then drove west, ending up 50 miles from where he started. This can be solved using the Pythagorean theorem, which relates the lengths of the sides of a right triangle. In this scenario, the distance Antonio drove north and the distance he drove west form the two legs of a right triangle, with the overall displacement from his starting point being the hypotenuse.

To solve the problem, let x be the distance Antonio drove west. We already know the northward distance is 26 miles, and the hypotenuse is 50 miles. Setting up the equation based on the Pythagorean theorem gives us:

26² + x² = 50²

Solving for x:

x² = 50² - 26²

x² = 2500 - 676

x² = 1824

x = √(1824)

x = 42.70 miles

So, Antonio drove approximately 42.70 miles west.

Based on the image you sent, the correct answer is: C. x = 110°

Here's why:

The image shows a diagram with two angles marked. One angle is labeled 110°, and the question asks about the measure of angle x.

Since there are no markings or indications otherwise, we can assume that angle x is congruent to the labeled angle.

Therefore, the measure of angle x is also 110°.

The other answer choices are not supported by the information in the image:

A. x > 110°: There's no evidence to suggest that angle x is greater than 110°.

B. x < 110°: There's no evidence to suggest that angle x is less than 110°.

So, angle z will be equal to 110° by vertically opposite angles.

Hence, the correct option will be C. z = 110°.

Answer: I have included an image of the correct answer.

They are skew lines

Answer:

C: They are skew

if you cant read upside down.

Step-by-step explanation:

Edge 2021

Answer:

-21/8 or  -2 5/8

Step-by-step explanation:

When dividing fractions by other fractions you use keep change flip, you keep the first fraction, change the division into multiplication and you flip the second fraction. We do this because we don't have to convert the fractions into decimals this was and its easier with fractions.

The problem changes to

3/8 times -7/1

Now we multiple the numerators together and the denominators together and then put it back into a fraction

3 * -7 = -21

8 * 1 = 8

-21/8

If you need it as a mixed number it is

-2  5/8

The true inequalities are √5 < 3, 2.2 < √5 < 2.3, and 3.6 > √13 > 3.7. The false inequalities are √8 > 3 and √13 = 3.6. The truth value of √8, √13 is inconclusive due to the incomplete expression. These comparisons highlight the relative magnitudes of square roots in the given range of numbers.

The given numbers √5, √8, and √13 can be compared using various inequalities to determine their relative magnitudes. First, √5 is less than 3, as √5 is approximately 2.24. However, √8 is not greater than 3, as it is approximately 2.83, rendering the second inequality false.

The inequality √8, √13 is incomplete, making it impossible to determine its truth value without a specific comparison operator. Moving on, √13 is not equal to 3.6; in fact, it is approximately 3.61, making the statement false.

On the other hand, the range-based inequality 2.2 < √5 < 2.3 holds true, as √5 is approximately 2.24, falling within the given range. Similarly, the range-based inequality 3.6 > √13 > 3.7 is true since √13 is approximately 3.61, falling within the specified range.

In summary, √5 < 3, 2.2 < √5 < 2.3, and 3.6 > √13 > 3.7 are true inequalities, while √8 > 3, √13 = 3.6, and √8, √13 are inconclusive or false based on the provided information. These comparisons highlight the relative sizes of square roots within the given numerical context.

The equation that represents the data in the table is y = 4x – 2.

Solution:

Take any two point from the table.

Let the points taken are (0, –2) and (3, 10).

[tex]x_1=0, y_1=-2, x_2=3, y_2=10[/tex]

Slope of the line:

[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]$m=\frac{10-(-2)}{3-0}[/tex]

[tex]$m=\frac{12}{3}[/tex]

m = 4

Using point-slope formula,

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=4(x-0)[/tex]

[tex]y+2=4x[/tex]

Subtract 2 from both sides, we get

y = 4x – 2

The equation that represents the data in the table is y = 4x – 2.

Answer:

-1/3

Step-by-step explanation:

2/3 times -1 is -1/3

It is -2/3 or negative two thirds

Answer:

D

Step-by-step explanation:

Kg : min

3¼ : ¾

13/4 : 3/4

13 : 3

13/3 : 1

13/3 = 4 ⅓

Answer:

Point U' (-2, 1)

Step-by-step explanation:

When moving up and down on a graph, this affects the y coordinate only.

Since it is moving up 1 unit, we have to add 1 to the y coordinate. So U' will end up being (-2, 1).

Answer:

U x 1U = -3 , 1

Step-by-step explanation:

U=1  x=1

y= -2 x 0 =-2  

0=-2x-2 +1

y=-2x2+1

y=-4-1

y=-3

Answer:

8.25 * 10^2

Step-by-step explanation:

825 = 8.25 * 100 = 8.25 * 10^2

8.25×10 to the power of 2

Answer:

see explanation

Step-by-step explanation:

1

The area of a rectangle = length × width

2

To find the width, divide the area by the length

3

width = [tex]\frac{area}{length}[/tex] = [tex]\frac{3x^2+9x}{3x}[/tex]

To simplify divide each term on the numerator by 3x

= [tex]\frac{3x^2}{3x}[/tex] + [tex]\frac{9x}{3x}[/tex] = x + 3 ← width

Answer:

12 * 6 = (10 + 2) * 6

         = (10 * 6) + (2 * 6)

         = 60 + 12

         = 72

Answer: 2 is the answer in the first line

2 is the answer in the second line

12 is the answer in the third line

72 is the answer in the fourth line

Step-by-step explanation:

12 x 6= (10 + ?? ) x 6 :: subtract 10 from 12 on the left hand side, that is, 12 - 10 = 2

(10 x 6) + (?? x 6) : since 2 is the answer in the first line, this is factored. And it is still 2

60 + ?? : multiply 2 x 6 = 12

??: Add 60 + 12 = 72

I hope this helps, mark as brainliest please

Answer:

  3(3b +4)

Step-by-step explanation:

The greatest common factor (GCF) of 9 and 12 is 3, so you're being asked to factor that out.

  9b +12 = 3(3b +4)

_____

The GCF can be found a couple of ways. One of them is to list the prime factors and identify those that are common.

  9b = 3 × 3 × b

  12 = 2 × 2 × 3

For these two terms, the only common factor is 3.

Answer:

No

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the longest side squared is equal to the sum of the squares of the other 2 sides then the triangle is right.

The longest side = 61, thus

61² = 3721

12² + 60² = 144 + 3600 = 3744 ≠ 3721

Thus these sides do not form a right triangle.

Answer:

Kayla put 52,908 km on the truck.

Step-by-step explanation:

Subtract 27,544 km from 80,452 km to answer this question:

 80,452 km

- 27,544 km

-------------------

 52,908 km

Kayla put 52,908 km on the truck.

Answer:

Side of the top of the table =4.243 feet

Step-by-step explanation:

A Square has all its sides equal with all the four angles at right angles.

Area of the top of the square table=18 Square feet

Area of a square=[tex]Side^2[/tex]

          Side   ≈    [tex]18=Side^2\\\\Side=\sqrt{18} \\\\4.243[/tex]

  The side of the top of the table is 4.243 feet

Answer:

10.6666666666666666

Step-by-step explanation:

Answer:

it makes like a guide to go around to end up as a circle

-angie:)            pls mark me brainliest!

Step-by-step explanation:

Answer:

5v +30

Step-by-step explanation:

[tex]5(v + 6) \\ = 5v + 5 \times 6 \\ = 5v + 30[/tex]

Answer:

The length of the tent's base is [tex]8\sqrt{2}[/tex].

Step-by-step explanation:

Given : Jacks tent is shaped like an isosceles triangle. The height of the tent measures 7 feet and the diagonal side measures 9 feet.

To find : The length of the base ?

Solution :

Let x denote the length of the tent's base.

Refer the attached figure below.

Using Pythagorean Theorem,

[tex]9^{2} =7^{2} +(\frac{x}{2} )^2[/tex]

[tex]81=49+\frac{x^{2} }{4}[/tex]

[tex]324=196+x^{2}[/tex]

[tex]x^{2} =128[/tex]

Taking square root on both sides,

[tex]x=\sqrt{128}[/tex]

[tex]x=8\sqrt{2}[/tex]

Therefore, the length of the tent's base is [tex]8\sqrt{2}[/tex].

Answer:

 5/2

<3

The representation of the speed will be s ≥ 130.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

The problem raises the following statement: "The cruising speed of the bullet train will be at least 130 miles per hour"

Which means that the train has a speed of 130 miles for now or higher, knowing this we can pose the inequality.

Knowing that "s" is the train's cruising speed (in miles per hour), we have to:

s ≥ 130

This would be the inequality that the statement represents.

To know more about Speed follow

https://brainly.com/question/6504879

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Final answer:

The variable 's' represents the train's cruising speed in mph, and the given condition is translated into the inequality 's ≥ 130', indicating the speed is at least 130 mph.

Explanation:

To represent the cruising speed of the bullet train using a variable, we can assign s to indicate the train's cruising speed in miles per hour. Given the statement 'The cruising speed of the bullet train will be no less than 130 miles per hour,' we can translate this into an inequality: s ≥ 130. This inequality means that the value of s, the train's cruising speed, must be greater than or equal to 130 mph.