Damian types 110 words in 5 minutes. Howard types 208 words in 8 minutes which is greater?

Answer:

9) 15

10) 115

11) 58

12) 75

13) 23

14) 51

Step-by-step explanation:

9)

The sum of the interior angles of a triangle is 180

180 -40-25 = 115

10)

The angle 155 equal the sum of 40 and x

155 - 40 = 115

11)

The angle 100 = x +42

100 - 42 = 58

12)

180 - 30 = 150

Both angles are equal to each other 150/2 = 75

13)

180 - 90 = 90

The 2 angles remaining equal 90

2x + 21 + x = 90  Combine like terms

3x +21 + 90  Subtract 21 from both sides

3x = 69  Divide both sides by 3

x = 23

14)

3x - 22 = 80 + x  Subtract x from both sides

2x - 22 = 80  Add 22 to both sides

2x = 102  Divide both sides by 2

x = 51

Answer:

-2x+7

Step-by-step explanation:

Answer:

-2x+7

Step-by-step explanation:

The APR if the finance terms are $21.99 per week for 52 weeks is 83.48%. Hence option 4 is correct.

The annual percentage rate, or APR, is the interest rate that is charged on a loan balance that is still outstanding. The expected cost of the annual fees connected with a certain sort of borrowing is what the APR conceptually reflects.

APR is a commonly used formula by lenders that enables borrowers to compare various loan choices. The stated interest rate on a loan is typically insufficient on its own to help borrowers choose the best loan option.

A loan with a low stated interest rate could also have significant costs attached that should not be disregarded. The best alternative might be a loan with a smaller fee structure and a higher advertised interest rate. APR is calculated as (Periodic Interest Rate x 365 Days) x 100 i.e.

\($\mathrm{APR=\left(\left(\frac{\frac{Fees+Interest}{Principal}}{n} \right) \times 365 \right) \times 100}\)

​where:

Interest = Total interest paid over life of the loan

Principal = Loan amount

n = Number of days in loan term

Fees = 0

​Interest = 2​Interest = $519.48

Principal = $624.00

n = 52 × 7 = 364 days

Plug the data in the formula:-

\($\mathrm{APR=\left(\left(\frac{\frac{0+519.48}{624}}{364} \right) \times 365 \right) \times 100}\)

APR = 83.48%

Thus, The APR if the finance terms are $21.99 per week for 52 weeks is 83.48%. Hence option 4 is correct.

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Answer: A or C

Step-by-step explanation:

Answer:

She was considered the first computer programmer.

Step-by-step explanation:

She wrote about one called the Analytical Engine, and even though it was never built, it came to her conclusion that the computer could follow a series of simple instructions to perform a complex question.

Answer:

C= 2π14.5

C= 91.1061869

91.1061869 X 7.5 = 683.296402

A of a circle = πr squared

as the are two circles to a cylinder 2πr squared

2 X π X 14.5 = 1321.03971

add together

1321.03971 + 683.296402 = 2004.33611 ft squared

The experimental probability the next 4 customers will order a salad is 12.96%

The experimental probability of the next 4 customers ordering a salad can be calculated by multiplying the individual probabilities of each customer ordering a salad.

Given that 60% of customers typically order a salad, the probability of a customer ordering a salad is 0.6, or 60% expressed as a decimal.

To find the probability of all 4 customers ordering a salad, we multiply the probabilities together:

P(4 customers ordering a salad) = 0.6 * 0.6 * 0.6 * 0.6 = 0.6^4 = 0.1296

Therefore, the experimental probability of the next 4 customers ordering a salad is 0.1296, or 12.96% expressed as a percentage.

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If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

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The Boolean expression for A being scheduled in at least one of the three periods is XA1 OR XA2 OR XA3.

The Boolean expression for A not being scheduled in more than one period is (XA1 XOR XA2) AND (XA2 XOR XA3) AND (XA3 XOR XA1).

The Boolean expression for A and B not being scheduled in the same period is (XA1 XOR XB1) AND (XA2 XOR XB2) AND (XA3 XOR XB3).

(a) To evaluate whether class A is scheduled in at least one of the three periods, we use the OR operator between the three variables: XA1 OR XA2 OR XA3. If at least one of these variables is true, the expression will evaluate to true (1), meaning that class A is scheduled in at least one period.

(b) To ensure that class A is not scheduled in more than one period, we use the XOR (exclusive OR) operator between all possible pairs of variables.

If two variables are true (1) at the same time, the expression will evaluate to false (0), meaning that class A is not scheduled in more than one period. We need to use the AND operator between all three pairs of XOR expressions to ensure that they are all true.

(c) To ensure that class A and class B are not scheduled in the same period, we use the XOR operator between the corresponding variables for each class:

XA1 XOR XB1, XA2 XOR XB2, and XA3 XOR XB3.

If any of these expressions evaluate to true (1), it means that class A and class B are not scheduled in the same period. We need to use the AND operator between all three expressions to ensure that they are all true.

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Answer:

Y intercept : ( 0 , 25 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to convert function to slope-intrcept form y=mx+b, where:

-0.4x + 0.05y - 1.25 = 0         {multiply both sides by 20}

-8x + y - 25 = 0                    {add (8x+25) to both sides}

y = 8x + 25     ⇒   b = 25

Therefore y-intercept of the line is (0, 25)

Answer:

The reduced answer is 1/4

Answer:

1 inch

Step-by-step explanation:

hshuehevdjdbevejdj

Answer:

x = 7

Step-by-step explanation:

Given equation,

→ 3x - 1 = 20

Now the value of x will be,

→ 3x - 1 = 20

→ 3x = 20 + 1

→ x = 21/3

→ [ x = 7 ]

Hence, the value of x is 7.

Answer:

It would be C.

Step-by-step explanation:

Since the sum of everything is 44.36, minus the $3.08 of the eggs, the result would be $41.28, then divide that by the 6 bags of apples. X would be $6.88.

Answer: the answer is c just got it on my test

Step-by-step explanation:

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

=================================================

Explanation:

Assume the ground is completely flat and level. We have a right triangle with hypotenuse 30, and the horizontal base leg is 18. The vertical leg is unknown, so we'll call it x.

Use the pythagorean theorem to solve for x

a^2+b^2 = c^2

x^2+18^2 = 30^2

x^2 + 324 = 900

x^2 = 900 - 324

x^2 = 576

x = sqrt(576)

x = 24

The height of the tower's floor is 24 feet.

To find the dimension of the eigenspace corresponding to each eigenvalue, we need to solve the equation (dim(x) - 1.1) = 0. In this case, there is no valid dimension for the eigenspace.

1. The equation dim(x) - 1.1 = 0 tells us that the dimension of the eigenspace (denoted by dim(x)) is equal to 1.1. However, dimensions must be whole numbers, so we cannot have a fractional dimension for an eigenspace. Therefore, in this case, there is no valid dimension for the eigenspace.

2. The concept of eigenspaces and their dimensions is typically associated with eigenvalues of matrices. However, in this case, you provided an equation involving the dimension of the eigenspace directly, without specifying any matrix or eigenvalues. As a result, we cannot provide specific eigenvalues or dimensions for eigenspaces without additional information.

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Answer:

wow this is easy here ill help you its

Answer:

hi

Step-by-step explanation:

Answer:

the answer is 14,986 centimetres

The estimated area under the graph of f(x) = 50 − x² from x = -4 to x = 2 using three approximating rectangles and right endpoints is 344 square units.

To estimate the area under the graph of f(x) = 50 − x² from x = -4 to x = 2 using three approximating rectangles and right endpoints, we need to follow these steps:

Step 1: Determine the width of each rectangle.To determine the width of each rectangle, we need to find the distance between the endpoints and divide it by the number of rectangles.

n = 3a = -4b = 2

Width of each rectangle = (b - a) / n

= (2 - (-4)) / 3

= 6 / 3

= 2 units

Step 2: Determine the right endpoint of each rectangle.To determine the right endpoint of each rectangle, we need to add the width to the left endpoint.

x₁ = a = -4x₂

= x₁ + width

= -4 + 2

= -2x₃

= x₂ + width

= -2 + 2

= 0x₄

= x₃ + width

= 0 + 2

= 2

Step 3: Determine the height of each rectangle.To determine the height of each rectangle, we need to evaluate the function at the right endpoint.

f(x) = 50 - x²

f(x₁) = f(-4)

= 50 - (-4)²

= 34f(x₂)

= f(-2)

= 50 - (-2)²

= 46f(x₃)

= f(0)

= 50 - 0²

= 50f(x₄)

= f(2)

= 50 - 2²

= 42

Step 4: Determine the area of each rectangle.To determine the area of each rectangle, we need to multiply the height by the width.

A₁ = height × width

= f(x₁) × width

= 34 × 2= 68

A₂ = height × width

= f(x₂) × width

= 46 × 2= 92

A₃ = height × width

= f(x₃) × width

= 50 × 2= 100

A₄ = height × width

= f(x₄) × width

= 42 × 2= 84

Step 5: Determine the total area under the curve.To determine the total area under the curve, we need to add the areas of the rectangles.

A = A₁ + A₂ + A₃ + A₄= 68 + 92 + 100 + 84= 344

Therefore, the estimated area under the graph of f(x) = 50 − x² from x = -4 to x = 2 using three approximating rectangles and right endpoints is 344 square units.

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Answer:

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

Step-by-step explanation:

To convert a mixed fraction to a improper fraction, you have to multiply the denominator (2) by the whole number (8). 8 multiplied by 2 is 16. Then add the numerator (1). 16+1=17. That becomes your numerator, the denominator (2) stays the same.

I hope this helps!

Answer:

Step-by-step explanation:

I think we need to define domain and range first.

Domain is the set of all x values where the function f(x) exists or is defined.

Range is the set of all y values that will result from substituting all x values (the domain) into the function.

So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.

So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.

The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.

The domain as an inequality would be -∞ < x < ∞

The range as an inequality would be -∞ < y < ∞

As a set notation:

Domain {x | -∞ < x < ∞}

Range {y | -∞ < x < ∞}

In interval notation:

Domain (-∞ , ∞)

Range (-∞ , ∞)

End behavior:

As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.

Answer:

2790×5=13950. ans=13950+93000=106950

Step-by-step explanation:

population increase rate per year =2790

then after 5 year population is 2790×5+93000=106950

Option a. The car is 115.47 feet from the building is correct for the given right triangle.

A trigonometric formula known as the rule of sines connects any triangle's sides and angles. It claims that for all three sides of a triangle, the ratio of the length of one side to the sine of the angle opposite that side is the same. In other words, if a triangle has angles A, B, and C opposing its sides and sides a, b, and c, then:

If a/sin(A) = b/sin(B) = c/sin(C), then

If some of the other sides and angles of a triangle are known, this formula can be used to solve for those unknown sides or angles. However, it is restricted to triangles and calls for the measurement of at least one angle and one side's length.

The situation can be depicted as a right triangle, with building 200 feet, the angle of depression is 30 degrees.

Now,

tan(30) = opposite/adjacent = 200/distance

distance = 200/tan(30) ≈ 115.47 feet

Hence, option a. The car is 115.47 feet from the building is correct for the given right triangle.

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Answer:

-21°C

Explaination:

-7.5 - 5 - 8.5 = - 21