What is the measure of angle C?

Answer:F. √x = 5-(x + 2)

Step-by-step explanation:

Answer:

477.3

Step-by-step explanation:

3.14x 4² x 9.5

477.28

to the nearest tenth= 477.3

Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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Answer:

6

Step-by-step explanation:

plz me

Answer:

6

Step-by-step explanation:

can i have brainliesyt

Answer:

No solutions

Step-by-step explanation:

The lines are parallel.

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer: $4,998

Step-by-step explanation:

34000*1.147

38998-34000=4998

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

The Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞) and Range: (-∞, 0) ∪ (0, ∞).

What is domain?

The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.

According to question:

In this case, the denominator of the function is a quadratic expression, and we know that dividing by zero is undefined. Therefore, we need to find the values of x that make the denominator equal to zero, and exclude those values from the domain.

To find the values that make the denominator equal to zero, we can factor it as follows:

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

So, the denominator is equal to zero when x = 6 or x = -3. Therefore, the domain of the function is all real numbers except x = 6 and x = -3.

Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞)

The range of a function consists of all possible output values of the function, given the domain of the function.

To find the range of this function, we need to analyze the behavior of the function as x approaches positive or negative infinity.

As x approaches positive infinity, both the numerator and denominator of the function approach positive infinity. Therefore, the function approaches zero.

As x approaches negative infinity, both the numerator and denominator of the function approach negative infinity. Therefore, the function approaches zero.

Since the function approaches zero as x approaches positive or negative infinity, we can say that the range of the function is all real numbers except zero.

Range: (-∞, 0) ∪ (0, ∞).

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Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

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Answer:

{1,2,3,5,7,8}

Step-by-step explanation:

Answer:

D): |-5.43| < 2.1 × 10¹

Step-by-step explanation:

• |-5.43| is 5.43

• 2.1 × 10¹ is:

\( \hookrightarrow \: { \tt{2.1 \times {10}^{1} }} \\ \dashrightarrow \: { \tt{2.1 \times 10 = 21}}\)

Answer:

D is the correct answer

Step-by-step explanation:

Positive is greater than a negative

Answer:

83.85%

Step-by-step explanation:

The formula for confidence interval

= Mean ±( z × Standard deviation/√n)

Confidence Interval = Mean ± Margin of Error

Mean = 4.20mm

n = 87

Standard deviation = 0.10mm

z = ????

Hence:

Confidence Interval = Mean ± Margin of Error

Step 1

We find the Margin of Error

(4.185, 4.215) = 4.20 ± Margin of Error

4.20 - 4.185 = 0.015

4.215 - 4.20 = 0.015

Hence, Margin of Error = ± 0.015

Step 2

We find the z score

Margin of Error = z × Standard deviation/√n

±0.015 = z × 0.10/√87

± 0.015 = 0.0107211253z

z = ±0.015/0.0107211253

z = 1.39910686428

z score ≈ 1.4

Step 3

We find the confidence interval that corresponds to 1.4

Using the z table to find the Probability

P(z = 1.4) = 83.85%

Therefore, the level of the confidence interval (4.185, 4.215) is 83.85%

Answer:

[4.1mm to 4.3mm]

Step-by-step explanation:

Sample size = 87 glass sheets

Sample mean = 4.2mm

Sample standard deviation = 0.1mm

Confidence interval or level = the range from lower limit of sample mean to upper limit of sample mean

[4.2 - 0.1] to [4.2 + 0.1]  = [4.1mm to 4.3mm]

The ratio or the proportion is solved

Given data ,

A ratio is a comparison of two quantities by division. It expresses the relative size or amount of one quantity in comparison to another.

Ratios are often written as a fraction, with a colon, or with the word "to".

For example, if we have a bowl of fruit that contains 6 apples and 2 oranges, the ratio of apples to oranges is 6:2, which can be simplified to 3:1. This means that for every 3 apples, there is 1 orange in the bowl.

Hence , the proportion is solved

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Answer:

$1.47

Step-by-step explanation:

The value of A, B, and C will be 6n,9n, and 15n. The value is obtained by following the operation in the example.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that,

9x+5x=14x

5x+3x=8x

14x+8x=22x

A visual and kinesthetic method of learning numbers, algebra, and pre-algebra is called grid algebra. Students create connections between numbers, physical movements across a grid, and numerical and algebraic formulas.

Thus, the value of A, B, and C will be 6n,9n, and 15n. The value is obtained by following the operation in the example.

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The solution using correct step of substitution in the equation y=2x-1 4x+y=2 is x = 1/2 and y = 0

y = 2x - 1

4x + y = 2

4x + y = 2

4x + (2x - 1) = 2

4x + 2x - 1 = 2

6x - 1 = 2

6x = 2 + 1

6x = 3

x = 3/6

x = 1/2

y = 2x - 1

y = 2(1/2) - 1

= 2/2 - 1

= 1 - 1

y = 0

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well, we know all three points are colinear, so the slope from the first two points is the same slope from either to the (c , -9) point, let's check the slope of the first two points given

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{1})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{(-5)}}} \implies \cfrac{1 +3}{10 +5}\implies \cfrac{4}{15}\)

so then, the slope from say hmmmm let's use (-5 , -3), the slope from (-5 , -3) and (c , -9) must also be the same 4/15

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{c}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{c}-\underset{x_1}{(-5)}}} \implies \hspace{5em}\cfrac{-9 +3}{c +5}~~ = ~~\stackrel{slope}{\cfrac{4}{15}}\implies \cfrac{-6}{c+5}=\cfrac{4}{15} \\\\\\ -90=4c+20\implies -110=4c\implies \cfrac{-110}{4}=c\implies -\cfrac{55}{2}=c\)

Answer:

Option C - 70 cm²

Step-by-step explanation:

Area of a right angle triangle is given by the formula :

A = 1/2×h×b

A = 1/2×7×4

A = 1/2×28

A = 14

This is the area of 1 right angle triangle. The area of 5 will be

14×5 = 70

Units will be cm²

Hope this helped and have a good day

The rate of change of the distance between the police car and the truck after 10 minutes is approximately 193.66 m/s

The rate of change of a function is the rate at which the output of the function is changing with regards to the input.

The velocity of the police car = 160 km/h south

The velocity of the truck = 140 km/h east

Distance of the police car from Sioux Falls = 60 km north

Distance of the truck from Sioux Falls = 50 km east

Required;

The rate at which the distance between the vehicles is changing at t = 10 minutes

Solution;

Let d represent the distance between the vehicles, we have;

d² = x² + y²

Where;

x = The distance of the truck from Sioux falls

y = The distance of the police car from Sioux Falls

Which gives;

\( \displaystyle{ \frac{d}{dt} d^2= \frac{d}{dt}(x^{2}) +\frac{d}{dt} (y^{2}) }\)

Which gives;

\( \displaystyle{ 2 \cdot d \cdot \frac{d}{dt} d=2 \cdot x \cdot \frac{dx}{dt} + 2 \cdot y \cdot\frac{dy}{dt} }\)

After 10 minutes, we have;

y = 60 - (10/60)×160 = 100/3

x = 50 + (10/60)×140 = 220/3

d = √((100/3)² + (220/3)²) = 20•(√146)/3

\( \displaystyle{ \frac{d}{dt} d=\frac{2 \cdot x \cdot \frac{dx}{dt} + 2 \cdot y \cdot\frac{dy}{dt} }{2 \cdot d }}\)

Which gives;

\( \displaystyle{ \frac{d}{dt} d= \frac{2 \times \frac{220}{3} \times 140 + 2 \times \frac{100}{3} \times 160}{2 \times \frac{20 \times \sqrt{146}}{3}}}\)

\( \displaystyle{ \frac{2 \times \frac{220}{3} \times 140 + 2 \times \frac{100}{3} \times 160}{2 \times \frac{20 \times \sqrt{146}}{3}}\approx 193.66}\)

Therefore;

\( \displaystyle{ \frac{d}{dt} d \approx 193.66}\)

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Answer:

ΔP = 567

Step-by-step explanation:

The increasing rate of the population is  13,51*t.

That rate by definition is:

dP/dt   where P is the population therefore

dP/dt = 13,51*t

dt  =  13,51*t*dt

Integrating on both sides of the equation  we get:

∫dp = ∫ 13,51*t*dt

P =  13,51*t²/2 + K         ( K is population for t = 0 )

Now the population in 10 years    P(₁₀)

P(₁₀) =  13,51* (10)² /2  + K

P(₁₀) =  675,5  + K      (1)

And   P(₄)     is    

P(₄)  = 13,51*(4)²/2  * K

P(₄)  = 108,08 + K        (2)

Then substracting

P(₁₀) - P(₄)  =  ( 675,5  + K ) -  ( 108,08 + K )

ΔP =  567,42

But we don´t have fraction of animal, then

ΔP = 567

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

for wqwwed w`1121 111 333 111

Step-by-step explanation:

Answer:

56 possible different subcommittees

Step-by-step explanation:

This is a combination problem.

In combination probability, the formula is;

nCr = n!/((n - r)! × r!)

Now, out of the 8 members on the board of directors, they now want to form a subcommittee of 3 members.

Thus, the different subcommittees possible is given by;

8C3 = 8!/((8 - 3)! × (3!)) = 56

Thus, there are 56 possible different subcommittees

Step-by-step explanation:

This is the answer.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

16 quizzes

Step-by-step explanation:

8 quizzes = 2 weeks

2 x 2 = 4, therefore we would do 8 x 2 to get the total number of quizzes after 4 weeks, giving us 16.

Answer:

16

Step-by-step explanation:

If Darnel took a total of 8 quizzes over the past 2 weeks. We can assume that he takes 4 quizzes in one week but that doesn't matter. If he attended 4 weeks of school he would have taken 16 quizzes because in 2 week he takes 8 quizzes, so 8+8=16. Each 8 represents 2 weeks.

Considering the concepts of exponential functions, the equations, stories, graphs and tables are matched on the image given at the end of the answer.

The standard definition of an exponential function is presented as follows:

y = a(b)^x.

In which the parameters a and b of the exponential function are explained as follows:

The function is classified as increasing or decreasing as follows:

There is one case of a linear function, in which the graph is a line.

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