write the number whose prime factorization is give: 2×2×2×7​

Answer:

Step-by-step explanation:

To solve the inequalities 2x - 15 < -0.8 and 2x - 15 > 0.8, we will solve them separately and then combine the solutions.

First, let's solve the inequality 2x - 15 < -0.8:

2x - 15 < -0.8

Add 15 to both sides:

2x < 14.2

Divide both sides by 2 (since the coefficient of x is 2 and it is positive, we don't need to flip the inequality symbol):

x < 7.1

Now, let's solve the inequality 2x - 15 > 0.8:

2x - 15 > 0.8

Add 15 to both sides:

2x > 15.8

Divide both sides by 2:

x > 7.9

So, the solutions to the inequalities are:

x < 7.1 and x > 7.9

To write these solutions in interval notation, we can express them as separate intervals and then combine them using the union symbol (∪):

Interval 1: (-∞, 7.1)

Interval 2: (7.9, +∞)

Combining these intervals, the solution in interval notation is:

(-∞, 7.1) ∪ (7.9, +∞)

Answer:

Step-by-step explanation: you are sped that is the answer black n

The equation of the sinusoid function is:

3 Sin πx + 2.

Let's analyze the given options to find the correct equation:

a. 3 Cos πx + 2:

This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.

b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.

c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:

To determine if the period is correct, we need to calculate the x-values when the function repeats itself.

In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.

sin(πx) = 0 when πx = 0, π, 2π, 3π, ...

Solving for x, we have:

πx = 0 ⟹ x = 0

πx = π ⟹ x = 1

πx = 2π ⟹ x = 2

πx = 3π ⟹ x = 3

From this, we can see that the function repeats itself every integer value of x, which matches the given information.

Therefore, option (c) is the correct equation: 3 Sin πx + 2.

Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.

Hence, the equation of the sinusoid function is:

3 Sin πx + 2.

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Answer:

I think the only answer is A all of the other answer don't match the diagram sorry if i'm wrong

Answer:

I think it's A. as well!

Step-by-step explanation:

It's because it matches the picture perfectly above.

Answer: METHOD 1 Determine the part by multiplying the percent and the whole:METHOD 2 Determine 25% of 8:

125\% \times 8=1.25\times 8=10

125%×8=1.25×8=10

Step-by-step explanation:

Answer: I think it is (x+3) (x+8)

\(x^{2} +13\)

Step-by-step explanation: can u gimme brain plz!

Answer:

D. 12(2x − 3) > 60

 ii. x > 4

Step-by-step explanation:

Area of rectangle = length x width

The length of the rectangle is 12 feet, and the width is (2x - 3) feet.

Area = 12 x (2x - 3)

        = 12(2x - 3)

From the given question,

area of rectangle > 60 square feet

So that;

12(2x - 3) > 60

24x - 36 > 60

24x > 60 + 36

24x > 96

Divide both sides by 24, to have;

\(\frac{24x}{24}\) = \(\frac{96}{24}\)

x > 4

Therefore,

width = (2x -3)

since x > 4, then;

width  > (2x4 - 3)

          > 8 -3

width > 5 feet

Thus,

length x width > 60

Answer:

b

Step-by-step explanation:

75-30=45

6 is the amount that it cost for each guest well 6x7=42 therefore milo can only invite up to 7 guests to his party

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

Answer:

First one

Step-by-step explanation:

Answer:

no; 2.451904*10^3

Step-by-step explanation:

23.576*104=2451.904

to convert, move the decimal up to behind the first digit, and add tens accordingly

2451.904=2.451904*10^3

Answer:

false

Step-by-step explanation:

The constant term is 6 and the numerical coefficient of g, s and t are 1, -2 and -5.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

The given expression is g-2s-5t+6.

In the expression there are 4 terms.

Here, 6 is the constant and the numerical coefficient of g is 1, the numerical coefficient of -2s is -2 and the numerical coefficient of -5t is -5.

Therefore, the constant term is 6.

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Answer:

he is putting 225 in his account

Step-by-step explanation:

450 ÷ 2 = 225

divide by 2 because it say half

Answer:

$225.00

Step-by-step explanation:

To solve, split the total amount in two.

450.00/2

Value of m is -4

Value of x is 5

To solve linear equations, follow the following steps:

Equation 1.

2-6m = -4m+10

6m-4m = 2-10

2m = -8

m = -8/2

m = -4

Value of x is -4

Equation 2.

2.5+1.75 = -3.25+1.5x

1.5x = 4.25+3.25

1.5x = 7.5

x = 7.5/1.5

x = 5

Value of x is 5

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Answer:

Answer: (C) $2,518.59.

Step-by-step explanation:

To find the amount of money you will have in the account after 2 years, we can use the formula for the future value of an annuity:

FV = P * (((1 + r/n)^(nt) - 1) / (r/n))

where:

FV = the future value of the annuity

P = the monthly payment, which is $100

r = the annual interest rate, which is 4% expressed as a decimal (0.04)

n = the number of times the interest is compounded in a year, which is 12 (monthly)

t = the time the money is invested for, which is 2 years

Substituting the given values into the formula, we get:

FV = 100 * (((1 + 0.04/12)^(12*2) - 1) / (0.04/12))

FV = 100 * (((1.00333333333)^24 - 1) / (0.00333333333))

FV = 2,518.59 (rounded to the nearest cent)

Therefore, you will have $2,518.59 in the account after 2 years. Answer: (C) $2,518.59.

Answer:

-7

Step-by-step explanation:

Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).

Step-by-step explanation:

r =6

sector =45°

R=6×45÷360

=0.75cm

Answer:

the sector bounded by 45 degrees arc is 70.56

I think

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of a whole circle is pi \(r^{2}\)

diameter is 2*r

1/2 * pi * \(6^{2}\)   will find the area of 1/2 of the circle that has a diameter of 12'

56.54866 '

so approx  60 ft

\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)

The numbers can be a solution for the inequality 32+a>44 is 13 and 14.

If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.

Given that;

The inequality= 32+a>44

To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.

32 + a > 44

Subtract 32 from both sides:

a > 44 - 32

a > 12

This means that any number greater than 12 can be a solution to the inequality.

Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.

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Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

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The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer: The standard form of the equation of a circle with center (h, k) and radius r is (x-h)^2 + (y-k)^2 = r^2. Substituting the given values for h = -2, k = 2 and r = 3 into this equation, we get (x+2)^2 + (y-2)^2 = 3^2 or (x+2)^2 + (y-2)^2 = 9. This is the equation of the circle you’re looking for

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed.

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Answer:

1. The divisor became a whole number so you can divide it properly.

2. The decibel can be changed to a whole number by multiplying it by 100 so it will be 35 and not 0.35.

Step-by-step explanation:

LOL

Answer:

Step-by-step explanation:

Paul's equation,

Since the given line is passing through a point (4, 2) and slope = -5,

y = mx + b

2 = -5(4) + b

2 = -20 + b

b = 22

Therefore, equation of the line will be,

y = -5x + 22

Seth equation,

Slope of a line passing through two points (x, y) and (4, 2),

m = \(\frac{y_2-y_1}{x_2-x_1}\)

-5 = \(\frac{y-2}{x-4}\)

-5(x - 4) = y - 2

-5x + 20 = y - 2

y = -5x + 22

Therefore, both the equations represent the same line.