Which one is the answer I need sum help no cap

Answer:

\(Area = 6.5 * 10^3cm^2\) or \(Area = 6.5E3\ cm^2\)

Step-by-step explanation:

Given

\(Width = 1.5 * 10^2cm\)

\(Length = 4.3 * 10^1cm\)

Required

Determine the Area

The base area is calculated as:

\(Area = Length * Width\)

\(Area = 1.5 * 10^2cm * 4.3 * 10^1 cm\)

Reorder the expression

\(Area = 1.5 * 4.3 * 10^1 cm* 10^2cm\)

\(Area = 6.45 * 10^1 cm* 10^2cm\)

Apply law of indices

\(Area = 6.45 * 10^{1+2}cm^2\)

\(Area = 6.45 * 10^3cm^2\)

Approximate

\(Area = 6.5 * 10^3cm^2\)

or

\(Area = 6.5E3\ cm^2\)

The true statement is that Alex is 50% taller than Dan.

They both measured themselves against a tree in their backyard.

Therefore, the tree is 80% taller than Dan and 20% taller than Alex.

Hence,

let

Dan height = x

Tree's height = x + 0.8x

Tree's height = 1.8x

let

Alex height = y

Tree's height = y + 0.2y

Tree's height = 1.2y

Therefore, if we use Dan height as 100, the height of the tree will be 180.

Then,

180 = 1.2y

y = 150

This means Alex is 50 percent taller than Dan.

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Answer:

7 cm

Step-by-step explanation:

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

6

-------

$4.00

unit rate: 4 / 6 = 0.67$ per pound of apples

Answer:

The slope 7/5 and the y intercept is -3

Step-by-step explanation:

Y=7/5x-3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope 7/5 and the y intercept is -3

The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Answer:

Negative times a negative equals a positive

25x + 30x

55x

Answer:

A line parallel to line AB through C & arc IJ and draw an arc centered at K intersecting the second arc

Step-by-step explanation:

This image may result from the construction of a line parallel to line AB through C.

The next step in this construction is to set the compass width to arc IJ and draw an arc centered at K intersecting the second arc.

Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this.

Given:

From the image we can see that there is an attempt to make a copy of angle and proceeds to draw a parallel line.

So, This image may result from the construction of a line parallel to line AB through C.

Now, the next step can be measure the arc IJ from compass and put the pointer on K with same measurement and cut the Arc.

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Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

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Answer:

Step-by-step explanation:

I can't give answer you by step to step cause I can't make any symbols through my computer.

Answer:

Step-by-step explanation:

Solving for x

The solutions to the polynomial equation \(x^3 - 7x^2 - x + 7 = 0\)are\(x = 1, x = 7,\) and \(x = -1.\)

The given polynomial is \(x^3 - 7x^2 - x + 7 = 0\)

We can observe that the polynomial has a common factor of (x - 1).

By dividing the polynomial by (x - 1), we can simplify the equation:

\((x - 1)(x^2 - 6x - 7) = 0\)

Now we have factored the polynomial equation as a product of two factors, \((x - 1)\) and \((x^2 - 6x - 7).\)

To find the solutions, we set each factor equal to zero and solve for x.

Setting \((x - 1) = 0\), we get \(x = 1.\)

Now, let's solve the quadratic factor \((x^2 - 6x - 7) = 0\)

Using factoring or the quadratic formula, we find the roots of the quadratic equation:

\(x^2 - 6x - 7 = 0\)

\((x - 7)(x + 1) = 0\)

Setting each factor equal to zero:

\(x=7\) and \(x=-1\)

Therefore, the solutions to the polynomial equation \(x^3 - 7x^2 - x + 7 = 0\)are\(x = 1, x = 7,\) and \(x = -1.\)

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Given :

The height is given h= 7 cm.

The base is given b =9 cm.

Explanation :

To determine the area of parallelogram ,

Use the formula for area of parallelogram.

Substitute the values in the formula.

Answer :

Hence the area of parallelogram is 63 sq.cm.

The perimeter of the rectangular bedroom is 126 feet.

To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.

The distance between the points (14, 22) and (14, -10) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (14, -10) and (-17, -10) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

The distance between the points (-17, -10) and (-17, 22) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (-17, 22) and (14, 22) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

Therefore, the perimeter of the rectangular bedroom is;

P = 32 + 31 + 32 + 31

P = 126 feet.

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The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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Answer:

x=4

Step-by-step explanation:

5x - 17 = -x +7

Add x to each side

5x+x - 17 = -x+x +7

6x -17 = 7

Add 17 to each side

6x-17+17 = 7+17

6x =24

Divide each side by 6

6x/6 = 24/6

x = 4

Answer:

4

Step-by-step explanation:

5x - 17 = -x + 7

Add x on both sides.

5x - 17 + x = -x + 7 + x

6x - 17 = 7

Add 17 on both sides.

6x - 17 + 17 = 7 + 17

6x = 24

Divide both sides by 6.

(6x)/6 = 24/6

x = 4

Step-by-step explanation:

5(x-3) - 6(x-2) > 8x + 2

5x - 15 - 6x + 12 > 8x + 2

-x - 3 > 8x + 2

-5 > 9x

-5/9 > x or x < -5/9

I am not sure, since you are missing some symbols in the given answer options, but that should be answer D

2 ways to get to 1/2

Way 1:

Use the 1/4 scoop 2 times

1/4 + 1/4 =2/4

2/4 simplified is 1/2

Way 2:

Use the 1/8 scoop 4 titmes

1/8+1/8+1/8+1/8=4/8

4/8 simplified is 1/2

Hope this helps!

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

::::::::::::::::::::

40

The percentage rise of Jane= 7%.

What is percentage ?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Percentage Increase/ Rise and Decrease/ Fall

The percentage increase is equal to the subtraction of the original number from a new number, divided by the original number and multiplied by 100.

% increase = [(New number – Original number)/Original number] x 100

where,

increase in number = New number – original number

Similarly, a percentage decrease is equal to the subtraction of a new number from the original number, divided by the original number and multiplied by 100.

% decrease = [(Original number – New number)/Original number] x 100

Where decrease in number = Original number – New number

So basically if the answer is negative then there is a percentage decrease.

In the given question , Jane earns initially =  £11 400 per year

After rise Jane earns = £12 198 per year.

Percentage rise = [(New number – Original number)/Original number] x 100

Percentage rise = [( 12198 – 11400)/11400] x 100

= [( 798)/11400] x 100= 0.07 × 100 = 7%

So the percentage rise of Jane= 7%.

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Answer:

It depends on where point D is placed so C > 0

Step-by-step explanation:

As i said above

We want to find the coordinate of C given that it is the midpoint of BD.

We know that B is at 0, so we can assume that each letter represents a position on the number line.

Then we can assume that D is located at a number different than zero, let's assume that D is located at the value d.

Then the segment BD goes from 0 to d, so its length is d.

Then the midpoint is at the middle, at d/2 plus the smallest value, 0:

C = d/2 + 0 = d/2

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The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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Answer:

$105.

Step-by-step explanation:

Using the givens:

Alvin's money and Sam's money, a = Alvin's, s = Sam's

a = s

We know that Alvin spent -35$ and Sam spent twice that number (2 x 35 = 70)

We know that the closest number that we can use to subtract a number which gives twice the remaining value of Alvin's, (2 x 35 = 70 + 35 (Alvin's spending's)), 105$.

105 - 35 = 70

105 - 70 = 35

35 is half 70 and 70 is twice 35.

There you have it, I hope it helps.

Answer:

The equivalent expression is  

✔ 3y + 2

.

The value of both expressions when y = 5 is  

✔ 17

.

The expressions are  

✔ equivalent

.

Step-by-step explanation:

Answer:

The equivalent expression is  

✔ 3y + 2

.

The value of both expressions when y = 5 is  

✔ 17

.

The expressions are  

✔ equivalent

.

Step-by-step explanation:

Answer:

7x+5< -8x+6

=15x<1

The equivalent inequality is 15x<1. Therefore, option D is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is 7x+5<-2(4x-3).

Now, 7x+5<-8x+6

Subtract 5 on both the sides of an inequality, we get

7x<-8x+1

Add 8x on both the sides of an inequality, we get

7x+8x<1

15x<1

Therefore, option D is the correct answer.

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Answer:

30w+200=1000

Step-by-step explanation: