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Answer:

The answer is D.

Step-by-step explanation:

In a parallelogram, lengths are parallel to each other so we can assume that AB is parallel to CD and AD is parallel to BC. In order to find the value of x and y, you have to compare the expressions :

AB // CD

x - 2 = 24

x = 26

AD // BC

y = 11

The degree of the polynomial is 2, and the leading coefficient is 3. The polynomial has two terms, so we classify it as a binomial.

What is the polynomial equation?

A polynomial equation is an equation in which the variable(s) are raised to non-negative integer powers and the coefficients are constants. In other words, it is an equation in which the terms involve only addition, subtraction, multiplication, and positive integer exponents.

The expression is 7 + 3p²

To write the polynomial in standard form, we need to arrange the terms in descending order of degree:

3p² + 7

hence, The degree of the polynomial is 2, and the leading coefficient is 3. The polynomial has two terms, so we classify it as a binomial.

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Answer:

B. 560000

Step-by-step explanation:

You move the decimal over 5 times to the right and there is your answer

The statement should be The Hypotenuse distance from point C to AB is 12 cm.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

Given:

The distance from point C to AB is 12 cm.

But, the statement is kind of incomplete.

Because the there are two distance one is hypotenuic distance and one is perpendicular distance.

So, the statement should be The Hypotenuse distance from point C to AB is 12 cm.

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Answer:

20:5

Step-by-step explanation:

There were 25 kids and 20 of them watched the movie, meaning only 5 people did not watch so it is 20:6.

solving steps:

2( 9 - 7r ) + 8r

2(9) - 2(7r) + 8r

18 - 14r + 8r

18 - 6r

Answer:

18 - 6r

Step-by-step explanation:

2(9 - 7r) + 8r

Expand the brackets:

⇒ 2 · 9 - 2 · 7r + 8r

⇒ 18 - 14r + 8r

Combine like terms:

⇒ 18 - 6r

The maximum value of P is 20.68, which occurs when x = 1.67 and y = 1.07.

The optimal solution, we need to first graph the constraints and determine the feasible region.

The first constraint is 3x + 5y ≤ 12, which represents a line with a y-intercept of 2.4 and a slope of -3/5.

The second constraint is 6x + 2y ≤ 10, which represents a line with a y-intercept of 5 and a slope of -3.

Plotting these lines on a graph, we get:

The feasible region is the shaded region that satisfies both constraints and lies in the first quadrant.

Next, we need to evaluate the objective function at each corner point of the feasible region to find the maximum value of P.

The corner points are:

(0, 2.4)

(1.67, 1.07)

(1.43, 0)

(0, 0)

Evaluating P at each of these points, we get:

(0, 2.4):

P = 9.6

(1.67, 1.07):

P = 20.68

(1.43, 0):

P = 17.72

(0, 0):

P = 0

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Answer:

For inequalities, the dot would be circled in because the value is greater than or EQUAL TO or less than or EQUAL TO.

Step-by-step explanation:

For example, x > 2 would have an open circle and you are NOT including the 2 that is inputted.

For x \(\leq\) 6, it would have a closed circle and you ARE including the 6 that is inputted.

Answer:

Hi, it's 8^9

Step-by-step explanation:

\(8^5\cdot \:8^4\\8^5\cdot \:8^4=8^{5+4}\\8^{5+4}\\=8^9\\\)

Answer:

Step-by-step explanation:

at the end of;                Karabo                         John

1st hour                           80km                          0km(bcause he hasn't started)

2nd hour                       160 km                         100km

3rd hour                        240 km                         200km

4th hour                        300 km                         300km

now I'm not sure whether we should consider the time period after the starting time of karabo, or that of John (they have a gap of one hour u know..)

so, from the starting time of karabo, it takes 4 hours, and from the starting time of John it's 3hours. (Because John started 1 hour later)

Answer:

5 feet

Step-by-step explanation:

So you know the cross-sectional area of the circle at the bottom of the cylinder is 28 square feet and you are told the volume of the cylinder is 140 cubic feet which means the height must be 5 feet as the 28 square feet must continue going up to fill the 140 cubic feet.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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The equation of the line through the points (0, 9) and (3, 0) is y = -3x + 9.

To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is one of the points on the line and m is the slope of the line.

First, we calculate the slope (m) using the formula: m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points. Substituting the values (0, 9) and (3, 0), we get m = (0 - 9)/(3 - 0) = -9/3 = -3.

Next, we choose one of the points, let's say (0, 9), and substitute its coordinates into the point-slope form: y - 9 = -3(x - 0).

Simplifying the equation, we get y - 9 = -3x, or rearranging it, y = -3x + 9.

Therefore, the equation of the line passing through the points (0, 9) and (3, 0) is y = -3x + 9.

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The best description of the information about the medians is B. The exam median is much higher than the class median.

The class median shown is around the point of 85 out of 100 while the exam median is given to be around 94 out of hundred. Indeed, the class median is at the same point as the first quartile of the exam scores.

What this shows is that the class median is lower than the exam median. Some might even say that the almost 10 point gap means that the exam median is much higher than the class median.

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The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

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The function f(x) = (kx – 1)³ is continuous at every number x ∈ (-0,2) ∪ (2,10) if and only if k = 1/2.

To see why, note that for the function to be continuous at every point, it must be continuous at the endpoints of the intervals (-0,2) and (2,10).

For x ∈ (-0,2), we have:

lim_{x→a⁺} f(x) = lim_{x→a⁻} f(x) = f(a)

Thus, we need to check that f(x) is continuous at x = 0 and x = 2.

At x = 0, we have:

lim_{x→0⁺} f(x) = lim_{x→0⁻} f(x) = (-1)³ = -1

So we need k = 1/2 to make f(x) continuous at x = 0.

At x = 2, we have:

lim_{x→2⁺} f(x) = lim_{x→2⁻} f(x) = (k(2) - 1)³

By the definition of continuity, we need lim_{x→2⁺} f(x) = lim_{x→2⁻} f(x), which implies:

(k(2) - 1)³ = k²(2)² - 1

Expanding and simplifying this equation gives:

k³ - 3k² + 3k - 1 = k²(4 - k²)

This equation is equivalent to:

k⁴ - 4k³ + 4k² + k - 1 = 0

By the rational root theorem, the possible rational roots of this polynomial are ±1 and ±1/2. It can be verified that k = 1/2 is a root of this polynomial, and by polynomial division, we can see that the remaining factors are all quadratic.

Thus, k = 1/2 is the only solution in the set of rational numbers, and since the function is continuous at every point in its domain if and only if it is continuous at every endpoint, we conclude that k = 1/2 is the only value of k that makes f(x) continuous at every number x.

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Answer:

65 mileshour

Step-by-step explanation:

Answer:

b) BC = 62

Step-by-step explanation:

since AB and AC equal 25, we know that ΔADB ≅ ΔADC and we can write this equation:

3x + 4 = 4x - 5

4 = x - 5

x = 9

3(9) + 4 = 31

BD = 31

DC = 31

BC = 2(31) = 62

The value of x is 94.8

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Sin(tetha) = opp/hyp

cos (tetha) =adj/hyp

tan (tetha) =opp/adj

67 is the opposite and x is the hypotenuse in the triangle

sin45 = 67/x

1/√2 = 67/x

x = 67√2

x= 94.8( nearest tenth)

therefore the value of x is 94.8

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To find the p-value for this test, we need to calculate the probability of observing at least 154 successful observations (assuming H0 is true) using the cumulative binomial distribution.

Given:

H0: p = 0.8

Ha: p > 0.8

Sample size (n) = 177

Number of successful observations = 154

We will use the binomial distribution to calculate the probability of observing at most 154 successful observations and subtract it from 1 to get the probability of observing at least 154 successful observations.

Using a statistical software or calculator, the p-value is found to be 0.0002 (rounded to four decimal places).

Since the p-value (0.0002) is less than the significance level (α = 0.005), we reject the null hypothesis (H0).

Therefore, the final conclusion is that there is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.8.

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Answer:

-235

Step-by-step explanation:

hope that helps :)))

Answer:

He got 49 - 42 = 7 wrong. 7 out of 49 can be written as 7/49 which simplifies to 1/7.

Answer:

7/49=1/7

Step-by-step explanation:

Wrong questions: 49-42=7

7/49=1/7.

Answer:

D. √180 and 3√20

Step-by-step explanation:

3√20

= √9√20

= √(9 * 20)

= √180

Answer:

80000000000000x200000004500 =

1.6e+25 which is essentially 1.6 with 25 0's after it

Step-by-step explanation:

May I have brainliest please? I'm trying to get 15 and I'm so close :)

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

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

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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Answer:

5a+13

Step-by-step explanation:

17-7a+12a+6

combine like terms

-7a+12a+7+6

simplify

5a+13

Answer: 5

Step-by-step explanation:

17 - 7a + 12a + 6  

1. Combine similar terms:

17 - 7a + 12a + 6 = 23 + 5a = 5a+23

The number that goes into the green box is 5.

They combine their money to buy as much ice cream as they can afford. If . each pair of socks costs $4.50, what is the maximum number of pairs of socks .

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Answer:

i will solve it below

Step-by-step explanation:

12.00 + 1.25

13.00

60.00 - 13.00 = 47.00

your welcome

Answer:

$12p plus $1.25s≤60

Step-by-step explanation:

Because we are multiplying to see how many pizzas and sodas he will get for under 60 dollars or equal to $60

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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