Simplify a^7 b^2 a^-9
Select one:
O a. a^2/ b²
O b. a^8 b^2
O c. a^2 b^2
O d. b^2/a ²

Answer:

The temperature at 11:30 will be 2°C

Step-by-step explanation:

The number of hours between 8:00 and 11:30 is 3.5 hrs

Therefore, if the temperature increases by 2°C every hour, the total increase of temperature is 2 x 3.5 = 7°C

If the initial temperature was -5°C, then the final temperature will be  -5 + 7 = 2°C

So the temperature at 11:30 will be 2°C

The required expression for part A ⇒ 2x(3x-8)

The required expression for part B ⇒2x(3x-8)

Part A:

The area of the rectangular space is given by the expression 6x²-16x, which is equal to the length times the width. We are given that the width of the rectangular space is 2x.

Therefore, we can write:

length x width = area

length x (2x) = 6x²-16x

length = (6x²-16x) / (2x)

Simplify the expression for length by factoring out 2x from the numerator:

length = 2x(3x-8)

So the expression for the length of the rectangular space is 2x(3x-8).

Part B:

To prove that our expression for the length is correct, we can multiply it by the width and show that we get the original expression for the area:

length x width = 2x(3x-8) x (2x)

                        = 4x²(3x-8)

                        = 12x³ - 32x²

Now we can compare this result with the original expression for the area, which is 6x²-16x.

We can simplify the original expression by factoring out 2x:

6x²-16x = 2x(3x-8)

We can see that the expression we obtained by multiplying the length and the width is equivalent to the original expression for the area, so our expression for the length is correct.

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Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

The area of this trapezoid is 8cm

Answer:

130

Step-by-step explanation:

first decompose the trapezoid into a square in the middle and 2 triangles on the left/right side, both triangles are congruent so you only find the area of one triangle, which is 9 because do 2x9 = 18/2 = 9, now let's move on to the middle square 14 x 18 = 112, then you add them all up remember there are 2 triangles,

112 + 9 + 9 = 130

Answer:

hmmmm help rin ako po please

Answer:

pretty sure its 2.5

Step-by-step explanation:

Answer:

14°

Step-by-step explanation:

Supplementary angles add up to 180° so subtract 166 from 180.

Using translation concepts, the graph of a translated function of \(y = \sqrt{x}\) is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

\(y = \sqrt{x}\) starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

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Answer:

A

Step-by-step explanation:

I took it

Answer:

13.896 kg

Step-by-step explanation:

Hope this helps you!!!! :D

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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Answer:  The equation of the line perpendicular to y = 4x + 3 and passes through the point (-4, -2) is y = -(1/4)x - 3.

Step-by-step explanation:  An line perpendicular to perpendicular to the line y = 4x + 3 would have a slope that is the negative inverse of the refernce line.  That would make the new line's slope -(1/4), the negative inverse of 4,

We can write the new new as y = -(1/4)x + b.  b, the y-intercept, is +3 in the original equation, but it will change for the new line.  We can calculate the new y-intercept by using the one point, (-4,-2) that we know is a solution for the equation (it falls on the line).

y = -(1/4)x + b

-2 = -(1/4)(-4) + b

-2 = 1+b

b = -3

The equation of the line perpendicular to y = 4x + 3 and passes through the point (-4, -2) is y = -(1/4)x - 3.

Answer:

No.

Step-by-step explanation:

This is not a right triangle. Use the Pythagorean Theorem, \(a^{2} + b^{2}=c^{2} \\\), but write it as \(c^{2}= a^{2}+b^{2}\). The hypotenuse would be 17 feet, so you can insert 17 as \(c^{2}\). \(a\) and \(b\) could be 6 or 16. It can be written either way. The simplified equation would be:

\(c^{2}=a^{2} +b^{2} \\17^{2} = 6^{2} + 16^{2} \\17^{2} = 36+ 256\\17^{2}= 292\\289\neq 292\)

This isn't a right triangle.

I hope this helped :)

The expression “4 is multiplied by the difference of 5 and a number” can be simplified to 4(5 - x) or 4 * (5 - x).

The expression that represents the problem "4 is multiplied by the difference of 5 and a number" is 4(5 - x), where x is the unknown number.
In this expression, the difference of 5 and a number is first calculated, and then the result is multiplied by 4.
This can also be written as 4 * (5 - x), which is equivalent to the original expression.
So the answer to the question is 4(5 - x) or 4 * (5 - x).

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The rate of interest for 2nd year is 4.1%

From the given parameters;

Rate of interest for 1st year = 2.5

As we know the formula for Simple interest is given by

                         => I = (PTR)/100

We will use this formula in the following problem

Let 100 be Feri's investment

At the Rate of interest of 2.5  

Interest on 100 = [(100(1)(2.5)]/100 = 2.5

Total amount at end of 1st year = 100 + 2.5 = 102.5

Let x be the rate of interest for 2nd year

At the rate of interest of x

interest on 100 = [(100(1)(x)]/100 = x

Total amount at end of 2st year = 102.5 + x  

Given that, at end of the 2 years, the rate of interest becomes 6.6%  

Interest on 100 at the rate of 6.6%  

=>  [(100(1)(6.6)]/100 = 6.6

=> total amount = 100 + 6.6 = 106.6

As we know in both cases, the amount must be equal

=> 102.5 + x  = 106.6  

=> x = 4.1

Therefore, The rate of interest for 2nd year = 4.1

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The hypothesis that should be written as an inequality is B. the alternative hypothesis.

The alternative hypothesis is a statement that contradicts the null hypothesis and is used to determine if there is a significant difference between two variables. It is often written as an inequality to show that there is a difference between the two variables being tested.

For example, if we are testing whether a new drug is more effective than a placebo, the alternative hypothesis would be written as "the new drug is more effective than the placebo," or in inequality form, "the effectiveness of the new drug > the effectiveness of the placebo."

In contrast, the null hypothesis is a statement that there is no significant difference between the two variables being tested. It is usually written as equality, such as "the new drug is equally effective as the placebo," or "the effectiveness of the new drug = the effectiveness of the placebo."

Therefore, the alternative hypothesis is the one that should be written as an inequality.

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Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

see below

Step-by-step explanation:

We can just add up all of these fractions:

2 1/8 + 7/8 = 2 8/8 = 3

8 5/8 + 4/8 = 8 9/8 = 9 1/8

3 + 9 1/8 = \(12\frac{1}{8}\)

     |-----|-----|-----|----|-----|-----|--│--|-----|----|-----|

    -5   -4   -3   -2   -1    0    1   │  2    3    4    5

                                            1 1/2

On this number line, the tick mark labeled "1 1/2" is located halfway between the integer values of 1 and 2.

To represent the number 1 1/2 on a number line, we need to draw a horizontal line with evenly spaced tick marks. Each tick mark represents a specific value on the number line. Since 1 1/2 is a mixed number that includes a whole number (1) and a fraction (1/2), we need to locate it between the integer values of 1 and 2. The tick mark for 1 1/2 should be halfway between these two integers, which means it would be located at the midpoint of the line segment that connects the tick marks for 1 and 2. By placing the tick mark for 1 1/2 in the correct position on the number line, we can accurately represent this number visually.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

Step-by-step explanation:

(x+7)/2= -8

x + 7 = -16

x= -23

(y + 1)/2 = -9

y + 1 = -18

y = -19

(-23, -19)

Answer:

∠ A = 79° , ∠ B = 112°

Step-by-step explanation:

ABCD is a cyclic quadrilateral.

the opposite angles sum to 180° , then

∠ A = 180° - 101° = 79°

∠ B = 180° - 68° = 112°

Answer:

-1.75, -3/2, -1 1/4

Step-by-step explanation:

Let me know in comments if I need to explain.

Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

Among the given options, the equation that does NOT represent a line perpendicular to the line 8x-4y=1 is option D: y = -1/2x.

To determine if a line is perpendicular to another line, we need to compare their slopes.

Two lines are perpendicular if and only if the product of their slopes is -1.

The given line, 8x-4y=1, can be rewritten in slope-intercept form as y = 2x - 1.

The slope of this line is 2.

Let's analyze each option:

A. x + 2y = 7: This equation can be rewritten as y = -1/2x + 7/2.

The slope of this line is -1/2.

The product of the slopes (-1/2 * 2) is -1, indicating that this line is perpendicular to the given line.

B. 4x - 8y = 1: Dividing by 4 and rearranging the equation, we have y = 1/2x - 1/8.

The slope of this line is 1/2.

The product of the slopes (1/2 * 2) is 1, which means this line is not perpendicular to the given line.

C. y - 4 = -1/2(x + 8): Simplifying the equation, we get y = -1/2x - 6.

The slope of this line is -1/2.

The product of the slopes (-1/2 * 2) is -1, indicating that this line is perpendicular to the given line.

D. y = -1/2x: The slope of this line is -1/2.

However, the product of the slopes (-1/2 * 2) is not -1, indicating that this line is not perpendicular to the given line.

Therefore, the equation that does NOT represent a line perpendicular to the line 8x-4y=1 is option D: y = -1/2x.

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Ann factored the expression completely

Max did not factor completely

The trinomial: 4x^2 - 6x - 4

ax^2 + bx + c

Factors of 16 = 2 and 8

The sum of -8 and 2 gives -6, while the product gives -16 (a × c = 4× 4)

we factorise:

4x^2 -8x + 2x - 4

4x (x - 2) + 2(x -2)

(4x + 2) (x - 2)

factorising completely, 2 is common to the first expression in bracket

2(2x + 1)(x - 2) = 2(x - 2)(2x + 1)

Ann factored: 2(x - 2)(2x + 1)

Max factored: (x - 2)(4x + 2)

From our workings, we can see Ann factored the expression completely

Max did not factor completely

Reason: one of the factors of the expression could still be factorise

4x + 2 can be factorise as 2(2x + 1)

Answer:

Electric vehicles (EVs) are becoming increasingly common, with many manufacturers currently offering models that plug in. Dozens more are expected to hit the market over the next few years.

Although sales of pure electric vehicles and plug-in hybrids account for less than 2 percent of U.S. light vehicle sales currently, there has been increasing interest from car shoppers. In 2010, just 1,919 EVs were sold in the U.S. In 2018, sales hit 233,411. But forecasts for how much of the U.S. auto market EVs could occupy range from 8 to 25 percent by 2025. Stephanie Brinley, an analyst at market research firm IHS Markit, says her prediction sits at the low end.

“If you look at EVs for 2021 and 2022, we’re really at the beginning of this market,” she says. “By 2025, EVs should be about 9 percent of the U.S. market. That’s a huge amount of growth from where we are right now

The circumference of a circle with a diameter of 36 inches is approximately 113.1 inches.

The circumference of a circle can be found using the formula: C = πd, where C represents the circumference and d represents the diameter. In this case, the given diameter is 36 inches.

Using the value of π (pi) as approximately 3.14159, we can substitute the values into the formula:

C = πd

C = 3.14159 * 36

C ≈ 113.09724

Rounding to the nearest tenth, the circumference of the 36-inch diameter circle is approximately 113.1 inches.

The circumference of a circle with a diameter of 36 inches is approximately 113.1 inches.

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