8
11 Juan is multiplying 68 x 73 using the area model method

One of the partial products is missing.
What number should juan write in the blank space in the model above?
A 420
B 42,000
C 4,200
D 130

The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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Answer:

Climate change includes both global warming driven by human emissions of greenhouse gases, and the resulting large-scale shifts in weather patterns.

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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Answer:

The length of BD is 65 units.

Step-by-step explanation:

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem : 

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem : 

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

BD = 65

a. The chart is prepared below.

b. At the end of 4 years, Ross still owes his parents $1,576.92.

To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.

The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.

The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.

Here are the steps for calculating the balance for each year:

Year 1:

Beginning balance = $2,500.00

Interest for the year = $2,500.00 x 0.032 = $80.00

Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00

Year 2:

Beginning balance = $2,280.00

Interest for the year = $2,280.00 x 0.032 = $72.96

Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96

Year 3:

Beginning balance = $2,052.96

Interest for the year = $2,052.96 x 0.032 = $65.76

Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72

Year 4:

Beginning balance = $1,818.72

Interest for the year = $1,818.72 x 0.032 = $58.20

Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92

Here's a table that shows the details:

Year ,principal ,Interest rate, interest, Payment ,annual owing

1 $2,500.00 $80.00 $300.00              $2,280.00

2 $2,280.00 $72.96 $300.00              $2,052.96

3 $2,052.96 $65.76 $300.00               $1,818.72

4 $1,818.72         $58.20  $300.00       $1,576.92

b. At the end of 4 years, Ross still owes his parents $1,576.92.

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Answer:

x = -2.25

Step-by-step explanation:

Answer:

x = -2.25

Step-by-step explanation:

Add 15 to both sides of the equation

-6x - 15 = -1.5

-6x-15+15=-1.5+15

Simplify

-6x = 13.5

Divide both sides of the equation by the same term

-6x/6 = 13.5/6

Simplify

x = -2.25

Answer:

It represents growth, and the percentage rate of increase is of 8%

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

\(A(t) = A(0)(1 + r)^t\)

In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.

In this question:

\(y = 21(1.08)^x\)

So

\(1 + r = 1.08\)

\(r = 0.08\)

Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%

Answer:

\(y = \frac{1}{2}x + \frac{1}{2}\)

Step-by-step explanation:

Mark any two point on the line

(-1 , 0)  & (-3 , -1)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)

          \(= \frac{-1-0}{-3-[-1]}\\\\= \frac{-1}{-3+1}\\\\= \frac{-1}{-2}\\\\= \frac{1}{2}\)

m = 1/2   ; (-1 , 0)

Equation: \(y - y_{1} =m(x -x_{1})\)

\(y - 0 = \frac{1}{2}(x - [-1])\\\\y = \frac{1}{2}(x + 1)\\\\y = \frac{1}{2}x + \frac{1}{2}\)

Answer:

70 m and 60 m

Step-by-step explanation:

The formula for the area of a rectangle is length ⋅ width.

The area of the pasture of 4200 meters.

70 ⋅ 60 = 4200.

The formula for the perimeter of a rectangle is side + side + side + side.

The perimeter of the rectangle is 260 meters.

70 + 60 + 70 + 60 = 260.

Therefore, the length and width of this pasture are 70 meters and 60 meters.

Answer:

hlohhwwhwuwhwwhwywuyeyeyhee

9514 1404 393

Answer:

  64 degrees

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between triangle sides and trig functions. Here, the marked sides are opposite and adjacent to the marked angle, so the relevant relation is ...

  Tan = Opposite/Adjacent

  tan(θ) = 29/14

To find the angle measure, we use the inverse function. It may be called tan⁻¹ on your calculator. It also goes by the name "arctangent." The term "arctan" can be thought of, or even pronounced as, "the angle whose tangent is ...".

  θ = arctan(29/14) = 64.23°

The measure of angle θ is about 64°.

_____

Additional comment

The default units for angle measure are radians in most spreadsheets and on-line calculators. You need to make sure your hand-held calculator mode is set to give angles in the units you want. Here, we've given the angle in degrees, which is usually what is expected in problems like this.

A triangle with coordinates A(1, 1), B(6, 2), C(3, 5) is translated five units left and three units down. The new coordinates are

A'' (-4, -2)

B'' (1, -1)

C'' (-2, 2

The new coordinates of the transformations solved by applying the transformation rule adequately

Translation 5 units left is subtracting 5 units to the x coordinates

A (1, 1) = A' (-4, 1)

B (6, 2) = B' (1, 2)

C (3, 5) = C' (-2, 5)

Translation 3 units down is subtracting 3 units to the y coordinates

A' (-4, 1) = A'' (-4, -2)

B' (1, 2) = B'' (1, -1)

C' (-2, 5) = C'' (-2, 2

the coordinates are the ones with double primes ''

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Answer:

4

Step-by-step explanation:

3 x 4 = 12, 12 - 4 = 8.

Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer:

1. tan

2. standard

3. y=16.8

Step-by-step explanation:

1. Trigonometic functions are:

sinA=opposite/hypoteneuse

cosA=adjacent/hypoteneuse

tanA=opposite/adjacent.

We have the opposite side (20) and the adjacent side (y), but not the hypoteneuse, ao we have to use tan.

2.Inverse is only used when we dont know the angle measure, so we use standard.

3.tanA=opp/adj

tan50=20/y

1.19175359259=20/y

y=16.7819926235 or 16.8

Answer:

  y = (1)x +(-5)

Step-by-step explanation:

You want the slope-intercept equation of the line graphed with y-intercept -5 and x-intercept +5.

The intercept form of the equation for a line with x-intercept 'a' and y-intercept 'b' is ...

  x/a +y/b = 1

Using the given intercept values, a=5, b=-5, the equation is ...

  x/5 +y/(-5) = 1

The desired form of the equation can be found by solving for y:

  -x +y = -5 . . . . . . multiply by -5

  y = x -5 . . . . . . . . add x

The numbers that go in the boxes are 1 and -5.

Answer:

50

Step-by-step explanation:

because forty is eighty percent of 50

Answer:

from the graph we can see that

for 2 gallones - it can travell 70 miles

4 gallones - 140 miles

we will take the first case

2 gallones - 70 miles

17 gallones - ? miles

cross multiply

\( \frac{17 \times 70}{2} \)

= 595 miles

Answer:

6

Step-by-step explanation:

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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The transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.

An isometric transformation is one that keeps the angles and distances between the original and changed shapes the same. There are numerous techniques that can be used to alter any image in a plane.

The two figures are isometric only if they are congruent. In the given figure the angles remain the same however the lengths of the side are transformed as the figure is dilated.

Hence, the transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.

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Answer:

y=1/2x+11

Step-by-step explanation:

use the slope of one half and the point and put them into point slope form.

y-y1 = m(x-x1) or y-16 = 1/2(x-10), distribute 1/2

y-16=1/2x - 5, add 16 to both sides

y = 1/2x + 11

Answer:

The arrow is at a height of 500 feet at time t = 2.35 seconds.

Step-by-step explanation:

It is given that,

An arrow is shot vertically upward at a rate of 250 ft/s, v₀ = 250 ft/s

The projectile formula is given by :

We need to find the time(s), in seconds, the arrow is at a height of 500 ft.

So,

On solving the above quadratic equation, we get the value of t as, t = 2.35 seconds

So, the arrow is at a height of 500 feet at time t = 2.35 seconds. Hence, this is the required solution.

Answer:

The arrow is at a height of 500 feet at time t = 2.35 seconds.

Step-by-step explanation:

ur welcome and i should get brainliest

8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

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Answer:

not me

Step-by-step explanation:

not really me

why? cause i dont live there

The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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The expression that can be used to find the area of the tiled floor is 4w² + 200w

Length = 70 Meters

Width = 30 meters

Area = length × width

= 70 × 30

= 2100

Length = 70 + 2w meters

Width = 30 + 2w meters

Area = length × width

= (70+2w) (30+2w)

= 2100 + 140w + 60w + 4w²

= 4w² + 200w + 2100

Area of the tiled floor = Area of new rectangle - area of old rectangle

= (4w² + 200w + 2100) - 2100

= 4w² + 200w + 2100 - 2100

= 4w² + 200w

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