17*10-12
I need it fast please

Answer:

31°F

Step-by-step explanation:

image is attached

The length of the minor arc AB is approximately 16.8 cm (to 1 decimal place).

To find the length of the minor arc AB, we need to calculate the circumference of the entire circle and then find the fraction of the circumference represented by the central angle OAB.

The formula for the circumference of a circle is given by C = πd, where C is the circumference and d is the diameter.

Given that the diameter of the circle is 68 cm, we can calculate the circumference:

C = πd

C = π(68 cm)

C ≈ 213.628 cm

Now, to find the length of the minor arc AB, we need to find the fraction of the circumference represented by the central angle OAB. Since the central angle is given in degrees, we can use the formula:

Length of minor arc AB = (Central angle/360°) * Circumference

Length of minor arc AB = (28°/360°) * 213.628 cm

Length of minor arc AB ≈ 16.776 cm

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The greatest height reached by the football kicked straight up into the air, hitting the ground 6.38 s later, can be determined using the given information.

To find the greatest height reached by the ball, we can use the equations of motion for vertical motion under gravity. When the ball reaches its highest point, its vertical velocity becomes zero, and the time taken to reach that point is half of the total time of flight.

Using the equation h = v₀t - (1/2)gt², where h is the height, v₀ is the initial velocity, t is the time, and g is the acceleration due to gravity, we can calculate the height.

Since the ball is kicked straight up, its initial velocity v₀ is positive. The time taken to reach the highest point is half of the total time of flight, which is 6.38 s / 2 = 3.19 s.

Plugging in the values, we have h = v₀(3.19) - (1/2)(9.8)(3.19)².

To determine v₀, we can use the fact that the time taken to reach the highest point is the same as the time taken to return to the ground. Thus, v₀ = gt, where g is the acceleration due to gravity.

Substituting this value of v₀ into the equation, we have h = (gt)(3.19) - (1/2)(9.8)(3.19)².

Calculating this expression will give us the greatest height reached by the ball.

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The rounded value to the nearest hundred is 126

There are 1006 people who work in an office building. The building has 8 floors, and almost the same number of people work on each floor.

To find the best estimate, rounded to the nearest hundred, of the number of people that work on each floor.

What we have to do is divide the total number of people by the total number of floors in the building, then we will round off the result to the nearest hundred.

In other words, we need to perform the following operation:\[\frac{1006}{8}\].

Step-by-step explanation To perform the operation, we will use the following steps:

Divide 1006 by 8. 1006 ÷ 8 = 125.75,

Round off the quotient to the nearest hundred. The digit in the hundredth position is 5, so we need to round up. The rounded value to the nearest hundred is 126.

Therefore, the best estimate, rounded to the nearest hundred, of the number of people that work on each floor is 126.

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$4065.66  is the investment worth at the end of 5 years.

What is compound interest?

The interest charged on a loan or deposit is known as compound interest. That is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The major distinction between compound and simple interest is this.

Here, we have

Given: Kenji invests $3,500 at an interest rate of 3%, compounded monthly.

A = P(1+r/n)ⁿˣ

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

x = number of time periods elapsed

P = $3,500

r = 3% = 3/100 = 0.03

n = 12 (As there are 12 months in a year)

x = 5 years

A = 3500(1+0.03/12)⁶⁰

3,500 x (1.161616)

$4065.658 = $4065.66

Hence, $4065.66  is the investment worth at the end of 5 years.

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Answer:

Step-by-step explanation:

Given line:

Convert the equation into slope-intercept form:

The line parallel to this has same slope of 5/7 and passes through the point (2, - 1).

Use point-slope form and convert the equation into standard form:

Isolate y

Here

Parallel lines have equal slope

Point(2,-1)

Equation of line in point slope form

\(\\ \sf\longmapsto y-y_1=m(x-x_1)\)

\(\\ \sf\longmapsto y+1=5/7(x-2)\)

\(\\ \sf\longmapsto 7y+7=5x-10\)

\(\\ \sf\longmapsto 5x-7y-17=0\)

Answer:

Zeros: None

Domain: (−∞,−1] U [1,∞)

minimum: -π/2

maximum: π/2

Step-by-step explanation:

Answer: 1,2,4,5

Step-by-step explanation:

Answer:

A. D. and I'm not sure if there is more correct

Among the given options, none of them describes the reactor type best for a car with a constant air ventilation rate

A reactor is a machine or vessel used for the manufacture of chemical reactions. The reactor can be cylindrical, spherical, conical, or some other geometric form. The reactor's size may range from a fraction of a cubic centimeter to several cubic meters.

The types of reactors are:

- Plug flow reactor: It is a type of chemical reactor where the fluid moves continuously through the reactor. In this type of reactor, the chemical reaction proceeds as the chemicals move along the reactor's length.

- Completely mixed flow reactor: In this type of reactor, chemicals are uniformly distributed throughout the reactor, and the reaction is done. It's also known as a continuous stirred tank reactor (CSTR).

- Batch reactor: A reactor is a machine or vessel used for the manufacture of chemical reactions. In a batch reactor, chemicals are combined in a single batch and then processed. In the reactor, there is no input or output of chemicals while the reaction is taking place.

So, none of the given options describes the reactor type best for a car with a constant air ventilation rate. As the ventilation rate is constant, there's no input or output of air, and there's no reaction occurring. Thus, none of the given options is applicable.

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Answer:

The slope of the dotted line is -1. The slope of the solid line is 4.

The probability that two red balls are chosen from the vase would be = 1/9

Probability is defined as the concept that proves that an event may occur or not.

The number of red balls = 7

The number of black balls = 2

The number of green balls = 9

The total number of balls in the vase = 18

The probability of getting 2 red balls = 2/18 = 1/9

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Answer:

A

Step-by-step explanation:

the x-value on the graph of f(x) = x that corresponds to the point closest to (6, 0) is x = 3. The corresponding point on the graph is (3, 3).

To find the point on the graph of f(x) = x that is closest to the point (6, 0), we can minimize the distance between the two points. The distance formula between two points (x1, y1) and (x2, y2) is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, we want to minimize the distance between the point (6, 0) and any point on the graph of f(x) = x. Thus, we need to find the x-value on the graph of f(x) = x that corresponds to the minimum distance.

Let's consider a point on the graph of f(x) = x as (x, x). Using the distance formula, the distance between (x, x) and (6, 0) is:

d = sqrt((6 - x)^2 + (0 - x)^2)

To minimize this distance, we can minimize the square of the distance, as the square root function is monotonically increasing. So, let's consider the square of the distance:

d^2 = (6 - x)^2 + (0 - x)^2

Expanding and simplifying:

d^2 = x^2 - 12x + 36 + x^2

d^2 = 2x^2 - 12x + 36

To find the minimum value of d^2, we can take the derivative of d^2 with respect to x and set it equal to zero:

d^2/dx = 4x - 12 = 0

4x = 12

x = 3

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1. To show that x + 1 is not a lower bound for N (the set of natural numbers), consider x = 1. Then, x + 1 = 2. However, 1 is also a natural number and 1 < 2, so x + 1 cannot be a lower bound for N since there exists a smaller natural number.

5. The set of real numbers of the form x/y with |x| > |y| > 0 is not bounded above or below. This is because as y approaches 0 from a positive side, the value of x/y increases without bound (not bounded above). Similarly, as y approaches 0 from a negative side, the value of x/y decreases without bound (not bounded below).

7. If S ⊂ T ⊂ R are non-void sets and S ≤ T, it means that every element in S is also in T and is less than or equal to the elements in T. If S has exactly one element, then it is already the smallest element in T, and no other element in T can be smaller. Thus, S has exactly one element.

8. If S ⊂ R and T ⊂ R are non-void sets and S ≤ T, then S ∩ T can have at most one element. If S ∩ T is non-void, it means there exists an element in both S and T. Since S is less than or equal to T, this unique element must be an upper bound for S (as there are no larger elements in S) and a lower bound for T (as there are no smaller elements in T).

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Answer:

1/3πr²h

Step-by-step explanation:

The formulas for calculating the volume of a cylinder and a cone are:

Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

where r is the radius and h is the height of the shape.

Given that both shapes have a radius of 2 units and a height of 4 units, we can substitute these values into the formulas to calculate the volumes.

For the cylinder:

Volume of cylinder = πr²h

= π(2²)(4)

= 16π cubic units

Therefore, the volume of the cylinder is 16π cubic units.

For the cone:

Volume of cone = 1/3πr²h

= 1/3π(2²)(4)

= 8/3π cubic units

Therefore, the volume of the cone is 8/3π cubic units, which is approximately 8.38 cubic units (rounded to two decimal places).

she decorates 4 face of the box. (no diagram)

Answer:

10

Step-by-step explanation:

We need to divide 2 3/5 ft by 1/4 ft.

2 3/5 / 1/4 =

= 2 3/5 * 4

= 13/5 * 4

= 52/5

= 10 4/10

Answer: 10

r stands for the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two variables. p stands for the critical value for the correlation coefficient, which is used to determine the significance of the correlation coefficient.

The Pearson correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and 1 indicates a perfect positive linear relationship. The correlation coefficient is a good way to determine the strength of the relationship between two variables.The critical value for the correlation coefficient (p) is used to determine the significance of the correlation. It is determined by the sample size, the number of variables being correlated, and the level of significance. The lower the P value, the more significant the correlation is. If the P value is below the chosen level of significance, then the correlation is considered statistically significant.In conclusion, r is the Pearson correlation coefficient and p is the critical value for the correlation coefficient. R measures the strength and direction of the linear relationship between two variables, while P indicates the significance of the correlation. Both measures are important when assessing the relationship between two variables.

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8/15 = x/6

Using cross multiplication let us find the value of x .

= 15 × x = 6 × 8

= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )

= x = 3.2

Therefore , the equation that can be used to solve the proportion :-

Answer:

its B

Step-by-step explanation:

Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day

Answer:

he will have 2019

5 years= 60months 60x1.5=0.9   0.9=90    20000+90

Compound interest benefits investors, but the meaning of investors can be quite broad.

The amount in 5 years will be $ 21,556.67.

Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time.

Investors gain from compound interest, although the definition of an investor might vary widely. When banks lend money and reinvest the interest they earn into making more loans, for instance, they profit from compound interest. When depositors receive interest on their bank accounts, bonds, or other investments, compound interest also benefits them.

It's crucial to remember that while though the term "compound interest" contains the word "interest," the idea extends beyond contexts where the word is frequently employed, like bank accounts and loans.

Given,

Cooper is establishing a $ 20,000 emergency fund in an internet savings account.

The online account offers monthly compound interest of $1.5$ percent.

Let the equation be

Amount = present value (1 + interest rate\()^n\)

n = Number of compounding periods

n = 5 × 12 = 60

Interest rate = 1.5% / 12

substitute the values in the above equation, we get

\($\Rightarrow 20000\left(\frac{1+0.015}{12}\right)^{5 * 12}$\)

simplifying the above equation, we get

= $ 21,556.67

Therefore, the total amount in 5 years will be $ 21,556.67.

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Answer:

\( \angle A \cong \angle D \)

Step-by-step explanation:

The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.

Thus, since John already knows that \( \overline{AB} \cong \overline{DE} \) and \( \overline{AC} \cong \overline{DF} \), therefore, an additional information showing that the angle between \( \overline{AB} \) and \( \overline{DE} \) in ∆ABC is congruent to the angle between \( \overline{AC} \) and \( \overline{DF} \) in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be \( \angle A \cong \angle D \).

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.

Answer:

I answered you in another answer

Step-by-step explanation:

Answer:

a,e and b

Step-by-step explanation:

Answer:

A e and b

Step-by-step explanation:

The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

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Answer:

8? not sure tho....

Step-by-step explanation: