Find the probability that
event A or B takes place.
A
B
10
19
19

Answer:

46

Step-by-step explanation:

102 + 32 = 134

180 - 134 = 46

x = 46

The volume of the squared pyramid is 9 cubic yards, so the correct option is D.

For a square pyramid of sidelength S (S is the sidelength of the square base), the volume is given by the formula:

V = (1/3)*S^3

Here we want to find the volume if S = 3 yards, so we just need to replace that in the formula above to get the volume of the sculpture, we will get:

V = (1/3)*(3 yd)^3

V = (1/3)*(27 yd^3)

V = 9 yd^3

The volume is 9 cubic yards, then the correct option is D.

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Answer:

$31.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year,

then, solving our equation

I = 700 × 0.015 × 3 = 31.5

I = $ 31.50

The simple interest accumulated

on a principal of $ 700.00

at a rate of 1.5% per year

for 3 years is $ 31.50.

Answer:

2

Step-by-step explanation:

Y= mx +c

m is the gradient/slope

m = y2 - y1 / x2 - x1

m = 4-2 / 2-1

m = 2

Answer:Simplifying

(4a + 6b)(a + -1b) = 0

Multiply (4a + 6b) * (a + -1b)

(4a * (a + -1b) + 6b * (a + -1b)) = 0

((a * 4a + -1b * 4a) + 6b * (a + -1b)) = 0

Reorder the terms:

((-4ab + 4a2) + 6b * (a + -1b)) = 0

((-4ab + 4a2) + 6b * (a + -1b)) = 0

(-4ab + 4a2 + (a * 6b + -1b * 6b)) = 0

(-4ab + 4a2 + (6ab + -6b2)) = 0

Reorder the terms:

(-4ab + 6ab + 4a2 + -6b2) = 0

Combine like terms: -4ab + 6ab = 2ab

(2ab + 4a2 + -6b2) = 0

Solving

2ab + 4a2 + -6b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.

2(ab + 2a2 + -3b2) = 0

Factor a trinomial.

2((a + -1b)(2a + 3b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying

a + -1b = 0

Solving

a + -1b = 0

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.

a + -1b + b = 0 + b

Combine like terms: -1b + b = 0

a + 0 = 0 + b

a = 0 + b

Remove the zero:

a = b

Simplifying

a = b

Subproblem 2

Set the factor '(2a + 3b)' equal to zero and attempt to solve:

Simplifying

2a + 3b = 0

Solving

2a + 3b = 0

Move all terms containing a to the left, all other terms to the right.

Add '-3b' to each side of the equation.

2a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0

2a + 0 = 0 + -3b

2a = 0 + -3b

Remove the zero:

2a = -3b

Divide each side by '2'.

a = -1.5b

Simplifying

a = -1.5b

Solution

a = {b, -1.5b}

Step-by-step explanation:

Answer:

uhdheoebeje

Step-by-step explanation:

loleyseedrrirj

Answer:

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⢹⣿⣦⣀⣀⣀⣀⣀⣠⣼⡇⠀⠀⠸⣷⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀

⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀

⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⣠⡶⠶⠿⠿⠿⠿⢷⣦⠀⠀⠀⠀⠀⠀⠀⣿⠀

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⣠⡿⠛⠛⠛⠛⠻⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⣿⠀

⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⢀⣤⣤⣴⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀

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⠀⠈⠉⠛⠿⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣾⣿⡿⠿⠟⠋⠁⠀⠀⠀

This is corey copy&paste him all over ur brainly questions lol

Step-by-step explanation:

Let's begin by identifying key information given to us:

Total number of letters = 6

Number of letter "L" = 1

Number of vowels = 2

The probability that you pull an "L" out on your first pick is:

The probability that you pull a vowel afterwards is:

The total probability of this event is given by the product of P(L) & P(vowel):

Hence, the probability of this event is 1/15

Answer:

both two

Step-by-step explanation:

because it is in alphabetical order

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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The result of the synthetic division is:4x⁵+17x⁴+14x³-3x²+2 = (4x⁴ + 5x³ - x²) (x + 3) + 56

what is synthetic division ?

Synthetic division is a simplified method of dividing a polynomial by a linear factor. It is commonly used in algebra to find the quotient and remainder when dividing a polynomial by a linear factor of the form (x-a).

In the given question,

To use synthetic division to rewrite the fraction, we first set up the problem like this:

   -3 | 4    17    14    -3    0    2

       |     -12    -15    3   0

       +----------------------------------

          4     5    -1     0    0    2

The coefficients of the polynomial are written in descending order of powers of x, with any missing terms replaced by zeros. The divisor, x + 3, is written on the left, and the first coefficient of the polynomial is written on the top of the vertical line.

We then proceed to perform synthetic division as follows:

Bring down the first coefficient, which is 4, and write it under the horizontal line.

Multiply the divisor, -3, by the number we just brought down, which gives -12. Write this number under the next coefficient, 17.

Add the two numbers, 17 and -12, to get 5. Write this number under the next coefficient, 14.

Multiply the divisor, -3, by 5, which gives -15. Write this number under the next coefficient, -3.

Add the two numbers, -3 and -15, to get -18. Write this number under the next coefficient, 0.

Multiply the divisor, -3, by -18, which gives 54. Write this number under the next coefficient, 2.

Add the two numbers, 2 and 54, to get 56. This is the remainder, which we write above the divisor.

The result of the synthetic division is:

4x⁵+17x⁴+14x³-3x²+2 = (4x^4 + 5x³ - x²) (x + 3) + 56

Therefore, we have rewritten the fraction in the desired form:

4x⁵+17x⁴+14x³-3x²+2

---------------------- = 4x⁴ + 5x³ - x² + 56/(x+3)

         x+3

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Answer: B. 4

Step-by-step explanation: The interquartile range is just the distance in between the upper and lower quartiles. Therefore, to find the interquartile range, the equation in this case is 7 - 3, which equals 4.

Answer:

lorenzo

Step-by-step explanation:

because he has added more blue shade which will make the icing darker , Mariana's icing will be lighter as she added less blue shade :)

Answer:

Lorenzo's icing.

Step-by-step explanation:

They both used the same amount of yellow icing, but if Mariana adds less blue food coloring, then Lorenzo's icing will be darker because he added more blue than Mariana.

Answer:

b= 5\(\sqrt{3}\) c = 10,   x=7 hypotenuse = 7\(\sqrt{2}\)

Step-by-step explanation:

A 30-60-90 triangle has the ratios of x-x\(\sqrt{3}\)-2x so if x=5, then 5-5\(\sqrt{3}\) - 10

for a 45-45-90, if one leg is 7, so is the other x\(\sqrt{2}\) so hypotenuse is 7\(\sqrt{2}\)

Answer:

hello!

Step-by-step explanation:

The number 92 is a rational number if 92 can be expressed as a ratio, as in RATIOnal. A quotient is the result you get when you divide one number by another number. For 92 to be a rational number, the quotient of two integers must equal 92.

Recall the following types of factoring:

Difference of squares into a product of conjugate binomials:

Quadratic equation without a constant term into the product by a common factor:

Perfect square trinomial into a binomial squared:

Notice that the first expression is a difference of the squares of 4x and 3. Then:

Then, the match for the first equation is Difference of squares.

The second expression has a common factor of 8x:

Then, the match for the second equation is GCF (greatest common factor).

The third expression is a perfect square trinomial:

Then, the match for the third equation is Perfect Square Trinomial.

Saving for a down payment was worth it for Isabel. It reduces the total amount paid for the car by lowering the loan amount, resulting in less interest paid over time.

When evaluating whether saving for a down payment on a car was worth it for Isabel, we need to consider the difference in the total amount paid for the car in two scenarios: with a down payment and without a down payment. Let's analyze the two scenarios to make a judgment.

Scenario 1: With a down payment

In this scenario, Isabel saved up and made a down payment on the car. As a result, her monthly loan payment fits within her budget. By making a down payment, she reduces the principal amount borrowed and, subsequently, the interest charged on the loan.

The benefits of saving for a down payment include:

Lower loan amount: By making a down payment, Isabel reduces the total amount borrowed from the lender.

Reduced interest: With a lower loan amount, the interest charged on the loan is also reduced.

Shorter loan term: A down payment can help Isabel secure a shorter loan term, reducing the overall interest paid over time.

Scenario 2: Without a down payment

In this scenario, Isabel does not make a down payment and finances the entire purchase price of the car. As a result, her monthly loan payment may be higher, as she is borrowing a larger sum and potentially paying more interest over the loan term.

The drawbacks of not saving for a down payment include:

Higher loan amount: Without a down payment, the entire purchase price is financed, leading to a higher loan amount.

Increased interest: With a higher loan amount, more interest may accumulate over the loan term, resulting in a higher total cost of the car.

By comparing the two scenarios, we can assess the impact on the total amount paid for the car. Generally, having a down payment reduces the loan amount, decreases interest charges, and may result in a shorter loan term. This, in turn, can lead to substantial savings in the long run.

To determine the exact difference in the total amount paid for the car in each scenario, we would need specific details such as the purchase price of the car, the interest rate, and the loan term. With these figures, we could calculate the total cost of the car, including interest, in both scenarios and compare the results. Based on this analysis, we can then determine if saving for a down payment was worth it for Isabel.

In conclusion, saving for a down payment on a car can offer financial benefits such as lower loan amounts, reduced interest charges, and potentially shorter loan terms. Considering the potential cost savings and improved financial stability, it is generally advisable for Isabel to save for a down payment, making it worth the effort and consideration.

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Question

The down payment makes the monthly loan payment fit into Isabel's budget. Besides this benefit, do you think saving for a down payment on the car was worth it for Isabel? Use each monthly payment with and without a down payment) to find the difference of the total amount paid for the car in each scenario to justify your answer.

Answer:

blue and red

Step-by-step explanation:

hope it helped

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

y=0.3x

Step-by-step explanation:

Formula = \(K=\frac{y}{x}\)

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]

Answer:

y= 0.3x

Step-by-step explanation:

Since y varies directly as x, use the direct variation equation, y = kx.

1.5 = k(5) Substitute 1.5 for y and 5 for x.

k = 0.3 Solve for k.

Write the direct variation function by using the value for k.

y = 0.3x Substitute 0.3 for k in y = kx.

Answer:

104 degrees

Step-by-step explanation:

The angle of the whole set of lines is 140 degrees. In addition, the partial angle of it is also given--which is 36 degrees. In order to solve for the remaining part, Subtract 36 degrees from 140 degrees to get 104 degrees.

Answer:

Step-by-step explanation:

center=(-1,1)

radius=√16=4

distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius

Hence point lies on the circle.

Answer:

0

Step-by-step explanation:

Two cases: if \(x\ge0\)

\(|x| - |-x| = x - x= 0\)

Instead if \(x<0\)

\(|x| -|-x| = -x -(-x)=-x+x=0\)

Alternatively you can try to graph both \(f(x) = |x|; g(x)=|-x|\) and checking the vertical distance between the two graphs

The area of the Dodecagon will be = 716.16 \(cm^{2}\)

If we refer to the question given,

Length of the edges of a dodecagon = 8cm

Properties of Dodecagon

First, let us take out the perimeter of the dodecagon,

Perimeter = 12 x s

Perimeter = 12 x 8

Perimeter = 96 cm

To find the area of a dodecagon the formula used is,

A = \(3 * s^{2} * (2 + \sqrt{3} )\)

Here s refers to the side of a dodecagon,

A = \(3 * 8^{2} * (2 + \sqrt{3} )\)

A = 3 x 64 x 3.73

A = 716.16 \(cm^{2}\)

Therefore, The area of the Dodecagon will be = 716.16 \(cm^{2}\)

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The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer: 280

Step-by-step explanation:

The products of each pair of numbers are:

1 x 33 = 33

4 x 30 = 120

8 x 26 = 208

14 x 20 = 280

b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).

The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.

Answer:

A= \(\pi\)r²

Step-by-step explanation:

the area of a circle

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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To prove that the triangles are congruent by ASA, the statement and reason could be used as part of the proof is option (A) ∠FGH ≅ ∠KGJ because vertical angles are congruent.

Here we have two triangle FHG and KJG,

The sides HF and the side JK are parallel

The length of the side of the HG and the length of the side JG are equal

HG ≅ JG

According to the ASA property of congruent, if the two angle and one side of the triangle are equal to the two angle and one side of the other triangle, then the both triangles are congruent

Here we have to prove that angle FHG and angle KJG are vertical angles

Here the vertical angles are congruent

Therefore, the statement that can be the part of proof is option (a) angle FGH ≅ angle KGJ because vertical angles are congruent.

I have solved the question in general, as the given question is incomplete

The complete question is:

Given: HF || JK; HG ≅ JG

Prove: FHG ≅ KJG

To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?

a) FGH ≅ KGJ because vertical angles are congruent.

b) JKG ≅ HFG because vertical angles are congruent.

c) FHG ≅ JKG because right angles are congruent.

d) HFG ≅ KJG because alternate interior angles are congruent.

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