Find the value of x that makes the equation true: 7x = 70.

According to the sample data, the best conclusion supported by the sample data is that approximately 30% of all largemouth bass in the pond weigh more than 2 pounds. The answer is (D) Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.

The conclusion that is best supported by the sample data is that approximately 30% of all largemouth bass in the pond weigh more than 2 pounds, which is based on the fact that the sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds.

Therefore, options A and C are incorrect. The sample data does not provide enough information to determine the average weight of all fish in the pond, so option B is also incorrect.

The correct answer is D) Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds. This conclusion is supported by the sample data because the study specifically included a sample of 150 largemouth basses, of which 30% weighed more than 2 pounds. The other options are not supported by the sample data because the study does not include data on any other types of fish or the average weight of all fish in the pond.

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Answer:

B = -1/2

or you can look it as

96 = -192b

Answer:

27/20 or \(1\frac{7}{20}\)

Step-by-step explanation:

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.

The numerator is the number above. While the denominator is the number below

an example of a fraction =  

4 is the numerator while 5 is the denominator

If graduation rates rose by 35 percent, the increase would be 100% + 35%

Since the increase is in percentage form, to convert to fraction, divide the total increase by 100.

\(\frac{135}{100}\)

to express in its simplest form, divide both numerator and the denominator by 5

\(\frac{27}{20}\)

the above fraction can also be expressed as a mixed fraction = 1 \(\frac{7}{20}\)

Answer:

Step-by-explanation:

The correct answer isn’t a choice, not to mention all of those options are in meters squared....which would make those windows massive, larger than the square footage of most houses.

Is the relation a function: C. No, because for each input there is not exactly one output.

In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (12) is mapped to multiple dependent values (-4 and -2), we can logically deduce that the relation does not represent a function.

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In inferential statistics, the objective is to determine the probability of the alternative hypothesis being true or the null hypothesis being true.

This involves using sample data to make inferences and draw conclusions about a larger population. By analyzing the data and performing statistical tests, we assess the likelihood of the alternative hypothesis or the null hypothesis being accurate.

The alternative hypothesis represents a claim or statement that contradicts the null hypothesis and suggests that there is a significant relationship or difference between variables. To determine its probability, statistical methods such as hypothesis testing and p-values are employed. These methods evaluate the strength of evidence against the null hypothesis and support the alternative hypothesis when the evidence is substantial.

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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The measure of the central angle is 3π/17 radians.

L = rθ
where L is the length of the arc, r is the radius of the circle, and θ is the measure of the central angle in radians.
The radius of the circle is 34 and the length of the arc intercepted by the central angle is 6π. Substituting these values into the formula, we get:
6π = 34θ
To solve for θ, we can divide both sides by 34:
6π/34 = θ
Simplifying the right side, we get:
3π/17 = θ
The measure of the central angle is 3π/17 radians.

The measure of the central angle, we can use the formula for the length of an arc:
Arc length = Radius × Central angle (in radians)
We are given the arc length (6π) and the radius (34). We can rearrange the formula to solve for the central angle:
Central angle = Arc length / Radius
Central angle = (6π) / 34
Now, divide 6π by 34 to get the measure of the central angle:
Central angle ≈ 0.556π radians

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There were 1706 people living in the village in 2005

The equation of the function is given as:

y = 110x + 56

Where

x is the number of years since 1990

When there were 1706 people living in the village. it means that:

y = 1706

So, we have:

110x + 56 = 1706

Subtract 56 from both sides

110x = 1650

Divide both sides by 110

x = 15

So, the year is

year = 15 + 1990

Evaluate

Year = 2005

Hence, there were 1706 people living in the village in 2005

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Answer:

tikimotas

latino

Step-by-step explanation:

Answer:

6.1°    and     83.9°

Step-by-step explanation:

Complementary angles sum 90°

a+b = 90°

a = b - 77.8

then:

(b - 77.8) + b = 90

2b - 77.8 = 90

2b = 90 + 77.8

2b = 167.8

b = 167.8/2

b = 83.9°

a = b - 77.8

a = 83.9 - 77.8

a = 6.1°

Answer:

See down below:

Step-by-step explanation:

STOP POSTING RSM QUESTIONS AND ASK TEACHER FOR HELP

Answer:

slope=-3

Step-by-step explanation:

 -9-6/1+4=-15/5=-3

Answer:

See below for answers and explanations

Step-by-step explanation:

If each side length of the right square is 40, then dilating the figure by a scale factor of 1/4 means multiplying each side length by 1/4. This forms the left square with a side length of 10 units for each side.

Perimeter

Given Square = 4s = 4(40) = 160 units

Dilated Square = 4s = 4(10) = 40 units

Area

Given Square = s² = 40² = 1600 units²

Dilated Square = s² = 10² = 100 units²

Step-by-step explanation:

25 cents = $0.25

the ratio is 5/0.25 (5 dates for $0.25)

now we need to convert this to $5 in the denominator. and we need to multiply the numerator with the same factor.

and then the numerator will tell us how many dates we get for $5 in the denominator.

0.25 × x = 5

x = 5/0.25 = 20

indeed, 20 quarters = $5

so, we do

5/0.25 × 20/20 = 100/5

that means we can buy 100 dates for $5.

The speed of the walker is 16.67 miles per hour.

The speed of the cyclist is 25 miles per hour.

Let the speed of a walker = x

Biker's speed = 1.5x

Their relative speed will be:

= 1.5x - x = 0.5x

Distance between them = 12.5 miles

Time taken = 1.5 hours.

It should be noted that distance will be:

= Speed × Time

12.5 = 1.5 × 0.5x

Divide through to get x

12.5 = 0.75x

x = 16.67 miles per hour.

Speed of cyclist = 16.67 × 1.5 = 25 miles per hour.

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Answer:

x > 2

Step-by-step explanation:

2(x+5) = 2x + 10 -> 2x + 10 < 4+5x

Subtract 4 from each side.
2x +6 < 5x
Subtract 2x from each side
6 < 3x
2<x

So, x must be > 2

The probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is 0.62 or 62%.

To calculate the probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip, we will use the formula: $P(\text{Child or Evening Trip}) = P(\text{Child}) + P(\text{Evening Trip}) - P(\text{Child and Evening Trip})$.We are given that there were 7 children on the morning trip and 24 adults on the evening trip.

Therefore, the number of children who were on the evening trip is 0. Hence, $P(\text{Evening Trip}) = 24/50 = 0.48$.

Similarly, the number of children who were not on the evening trip is 7, while the number of adults who were not on the evening trip is $50 - (7 + 24) = 19$. Hence, $P(\text{Child}) = 7/50 = 0.14$.

Since no child was on the evening trip, $P(\text{Child and Evening Trip}) = 0$.

Substituting these values in the formula above, we get: $P(\text{Child or Evening Trip}) = 0.14 + 0.48 - 0 = 0.62$

Therefore, the probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is 0.62 or 62%.

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Answer:

360

Step-by-step explanation:

all quadrilateral angle sums are 360° no matter how you change it

a. The length of the curve is approximately 22.92.

b. The length of the curve is approximately 28.28.

c. The length of the curve is 169.

d. The length of the curve is approximately 13.14.

e. The length of the curve is approximately 405.64.

a. To find the length of a curve defined by a vector function, we can use the formula for arc length. For a curve →r(t) = 〈f(t), g(t), h(t)〉, the arc length formula is given by:

L = ∫√(f'(t)² + g'(t)² + h'(t)²) dt

We will use this formula to find the lengths of the given curves.

For the curve →r(t) = 〈cos(t), sin(t), 5t〉, -2 ≤ t ≤ 3:

To find the length, we need to evaluate the integral:

L = ∫₋₂³ √((-sin(t))² + (cos(t))² + (5)²) dt

= ∫₋₂³ √(1 + 25) dt

= ∫₋₂³ √26 dt

= √26 ∫₋₂³ dt

= √26 [t]₋₂³

= √26 [3 - (-2)]

= √26 * 5

≈ 22.92

Therefore, the length of the curve is approximately 22.92.

b. For the curve →r(t) = 〈2cos(4t), 2sin(4t), 4t〉, -7 ≤ t ≤ 3:

Similarly, we have:

L = ∫₋₇³ √(((-8sin(4t))² + (8cos(4t))² + (4)²) dt

= ∫₋₇³ √(64(sin²(4t) + cos²(4t)) + 16) dt

= ∫₋₇³ √(64 + 16) dt

= ∫₋₇³ √80 dt

= √80 ∫₋₇³ dt

= √80 [t]₋₇³

= √80 [3 - (-7)]

= √80 * 10

≈ 28.28

The length of the curve is approximately 28.28.

c. For the curve →r(t) = 〈3cos(4t), 3sin(4t), 5t〉, -3 ≤ t ≤ 10:

Using the same approach:

L = ∫₋₃¹⁰ √(((-12sin(4t))² + (12cos(4t))² + (5)²) dt

= ∫₋₃¹⁰ √(144(sin²(4t) + cos²(4t)) + 25) dt

= ∫₋₃¹⁰ √(144 + 25) dt

= ∫₋₃¹⁰ √169 dt

= √169 ∫₋₃¹⁰ dt

= √169 [t]₋₃¹⁰

= √169 [10 - (-3)]

= √169 * 13

= 13 * 13

= 169

The length of the curve is 169.

d. For the curve →r(t) = 〈cos(3t), sin(3t), t〉, -7 ≤ t ≤ 10:

Using the same approach:

L = ∫₋₇¹⁰ √(((-3sin(3t))² + (3cos(3t))² + (1)²) dt

= ∫₋₇¹⁰ √(9(sin²(3t) + cos²(3t)) + 1) dt

= ∫₋₇¹⁰ √(9 + 1) dt

= ∫₋₇¹⁰ √10 dt

= √10 ∫₋₇¹⁰ dt

= √10 [t]₋₇¹⁰

= √10 [10 - (-7)]

= √10 * 17

≈ 13.14

The length of the curve is approximately 13.14.

e. For the curve ¯r(t) = 〈9ln(t), t², 6t〉, 1 ≤ t ≤ 6:

Using the same approach:

L = ∫₁⁶ √((9/t)² + (2t)² + 6²) dt

= ∫₁⁶ √(81/t² + 4t² + 36) dt

= ∫₁⁶ √(81 + 4t⁴ + 36t²) dt

= ∫₁⁶ √(4t⁴ + 36t² + 81) dt

= ∫₁⁶ (2t² + 9) dt

= [2/3t³ + 9t]₁⁶

= (2/3(6)³ + 9(6)) - (2/3(1)³ + 9(1))

= (2/3(216) + 54) - (2/3 + 9)

≈ 405.64

The length of the curve is approximately 405.64.

Please note that these lengths are approximate values

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After answering the presented question, we can conclude that slope Therefore, the slope of the line passing through the points \((13,3)\) and \((15,3)\) is 0.

In mathematics, slope is the steepness of a line or curve. It is a measure of how much a function's y-value fluctuates when the x-value changes. A line's slope is commonly symbolised by the letter m and may be calculated as follows: m = (y₂ - y₁) / (x₂ - x₁) (x₁, y₁) and (x₂, y₂) are any two points on the line. The slope of a line might be positive, negative, zero, or unknown. A positive slope means the line ascends from left to right, whereas a negative slope means the line drops from left to right.

To find the slope of the line passing through the two points \((13,3)\) and \((15,3)\), we can use the slope formula:

slope = (y₂ - y₁) / (x₂ - x₁)

where

(x₁.y₁) =\((13,3)\)

and (x₂,y₂) = \((15,3)\)

slope = \((3 - 3) / (15 - 13) = 0 / 2 = 0\)

Therefore, the slope of the line passing through the points \((13,3)\) and \((15,3)\) is 0.

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Answer:

58

Step-by-step explanation:

The length of BD is 58  units.

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.

Given:

ED = 7x - 13 and BD = 16x - 38

So, the Diagonals of parallelogram bisect each other

BD = ED+ EB

16x - 38 = 2 ED   { ED= EB}

16x - 38 = 2 (7x- 13)

16x - 38 = 14x - 26

2x = 12

x= 6

So, length of BD = 16(6) - 38 = 96- 38 = 58 units

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Answer:

a= 24 cm

Step-by-step explanation:

\( \frac{ \sin(150) }{a} = \frac{ \sin(12) }{10} \\ a = 24\)

I hope I helped you^_^

The area of the entire screen is \(8x^2 + 34x + 8\) square units.

To find the area of the entire screen, you need to multiply its width by its length.
Width = 2x + 8
Length = 4x + 1
Area = Width × Length
Area = (2x + 8) × (4x + 1)
Now, we'll use the distributive property to multiply these expressions:
Area = 2x * 4x + 2x * 1 + 8 * 4x + 8 * 1
Area = 8x^2 + 2x + 32x + 8
Now, we'll combine the like terms:
\(Area = 8x^2 + 34x + 8\)

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Answer:

Explanation:

Hey there!

Please see your required solution in picture.

Quotient Q(X) = 3x²-x+4

Hope it helps!

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

After solving the given expression → F = - m + B/q³  for  [B], we get -

B = q³(F + M).

We have the following equation -

F = - m + B/q³

We have the following equation -

F = - m + B/q³

On solving for [B], we get -

F + M = B/q³

B = q³(F + M)

Therefore, the given expression after solving for [B], we get -

B = q³(F + M).

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Answer:

i believe the answer is 0.05 cents

Step-by-step explanation:

49.8004 *0.001=0.0498004

then you round it to the hundredths place and get 0.05

It will take approximately 23.8 years for Jack to accumulate enough money to buy the Rolls-Royce Phantom and win Jill's hand in marriage.

To calculate the number of years it will take for Jack to accumulate enough money to buy the Rolls-Royce Phantom, we can use the concept of compound interest and the future value formula.

The future value (FV) of an investment can be calculated using the formula:

\(FV = PV * (1 + r)^n\)

Where:

FV = Future value

PV = Present value (initial investment)

r = Annual interest rate

n = Number of years

In this case, Jack's present value (PV) is $59,680, and the expected annual return (r) is 4% (or 0.04).

Let's substitute these values into the formula and solve for n:

$330,000 = $59,680 *\((1 + 0.04)^n\)

Divide both sides of the equation by $59,680:

$330,000 / $59,680 =\((1 + 0.04)^n\)

Simplify:

\(5.516 = 1.04^n\)

To solve for n, we can take the logarithm of both sides:

\(log(5.516) = log(1.04^n)\)

Using logarithm properties, we can bring down the exponent:

log(5.516) = n * log(1.04)

Now, divide both sides by log(1.04) to isolate n:

n = log(5.516) / log(1.04)

Using a calculator, evaluate the right side of the equation:

n ≈ 23.8

Therefore, it will take approximately 23.8 years for Jack to accumulate enough money to buy the Rolls-Royce Phantom and win Jill's hand in marriage.

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Jack asked Jill to marry him, and she has accepted under one condition: Jack must buy her a new $330,000 Rolls-Royce Phantom. Jack currently has $59,680 that he may invest. He has found a mutual fund with an expected annual return of 4 percent in which he will place the money. How long will it take Jack to win Jill's hand in marriage? Ignore taxes and inflation. The number of years it will take for Jack to win Jill's hand in marriage is years. (Round to one decimal place.)

Answer:

f(-3) = -22

Step-by-step explanation:

5(-3) = -15

-15 - 7 = -22

A graph that represent y = [x] over the domain 3 ≤ x ≤ 6 include the following: D. graph D.

In Mathematics and Geometry, a greatest integer function is a type of function which returns the greatest integer that is less than or equal (≤) to the number.

Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:

f(x) = [x].

By critically observing graph D, we can logically deduce that only its parent greatest integer function has closed circles or dots that begins from a point with an x-value of 3 and an x-value of 6;

Domain = 3 ≤ x ≤ 6 or [3, 6].

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Answer:

102.01

Step-by-step explanation:

P(\((1+\frac{R}{100}) ^{T}\) ← substitute the given values for P, R and T into the expression

= 100( 1 + \(\frac{10}{100}\) )²

= 100(1 + 0.1)²

= 100(1.01)²

= 100 × 1.0201

= 102.01