The radius of a basketball is approximately 12. Icm. What is the volume of the basketball?​

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

Answer:

b = 9

Step-by-step explanation:

0.5 bh= 29.25

thus

(0.5)(b)(6.5)=29.25

thus

b= 58.5/6.5 = 9

Answer:

9?

Step-by-step explanation:

Answer:

Range

Step-by-step explanation:

The difference of the highest and lowest observation is called Range.

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

8

Step-by-step explanation:

Just count the spaces between them.

Step-by-step explanation:

\( \frac{ {x}^{2} + 3x - 10 }{x + 5} \\ = \frac{(x + 5)(x - 2)}{(x + 5)} \\ = (x - 2)\)

By the SSS Congruence Theorem, △ABC ≅ △DEF.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

What is the SSS rule?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

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Which equations are you referring to?

Please respond.

Answer:

22

Step-by-step explanation:

You can substitute a with 15. So now, the equation is 2(15 - 5) + 2.

We can use PEMDAS to solve this equation now. Since the P is first in PEMDAS, we have to solve what's inside the parentheses first. 15 - 5 would be 10. So now the equation is 2(10) + 2.

There's no more to solve in the parentheses, so we can move on to multiplication. 2(10) would be 20. So now the equation is 20 + 2.

Add 20 + 2 and you get 22. Hope that helps!

Answer: "9 more than" means add 9 onto a number. ex: 9 is "6 more than 15",

The area of the parking lot, given the dimensions of the lot can be found to be 9, 600 meters ².

To find the area of the parking lot, you need to divide the given shape into smaller shapes such that the area of these shapes can be found.

The area of the top rectangle would be:

= Length x Width

= 100 x 40

= 4, 000 meters ²

The area of the other rectangle :

= 40 x 140

= 5, 600 meters ²

The area of the parking lot is:

= 4, 000 + 5, 600

= 9, 600 meters ²

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The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A right triangle with side lengths 5, 12, and 13.

tanФ = 5/12.

tanФ = 0.42.

Ф = tan⁻¹(0.42).

Ф = 22.8°.

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Answer:

209,590 (approx.)

Step-by-step explanation:

A = Pe^rt

Solving

1. To break down 12x² into its prime factors,Start dividing 12 by 2, which gives you 6. Then, break 6 by 2, which gives 3. To write 12x² in terms of its prime factors, you simply need to add the x² term, giving you 2 * 2 * 3 * x * x or option C.

A common factor is a number or expression that divides two or more other numbers or expressions without leaving a remainder.

Since 3 is a prime number So the prime factorization of 12 is 2 * 2 * 3.

2. To find the greatest common factor of 8x³ - 12x² + 16x, you can start by factoring out any common factors that the terms share. In this case, all of the terms have a factor of 4x, so you can factor that out to get 4x(2x² - 3x + 4). Therefore, the greatest common factor is 4x or option B.

3. To rewrite 8x³ - 12x² + 16x, pulling out the greatest common factor, you can use the same method as in question 2. The greatest common factor of the terms is 4x, so you can factor that out to get 4x(2x² - 3x + 4) or option A.

4. To find the greatest common factor of 6x²+ 16x + 10, you can factor the expression using the quadratic formula or by factoring the expression as (3x + 5)(2x + 2). Since there is no other common factor between the terms, the greatest common factor is 1 or option A.

5. To factor x² - 4x - 32, you need to find two numbers that multiply to -32 and add to -4. These numbers are -8 and 4. Therefore, x² - 4x - 32 can be factored as (x - 8)(x + 4) or option C.

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The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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Compound interest equation:

Find equations for each case below.

1) P = 1200, r = 0.09, n = 1, t = 15

2) P = 1200, r = 0.12, n = 4, t = 15

3) P = 1200, r = 0.12, n = 12, t = 15

4) P = 1200, r = 0.15, n = 2, t = 9

The possible numbers that Melody could have picked are -4 and 4.

The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".

Given, Let x be the number Melody had chosen.

Thus, tripling the number will give 3x, and

squaring this will result to (3x)² which is equals to 9x².

Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:

9x²/2 ₋ 30 = 42

9x²/2 = 42 ₊ 30

9x²/2 = 72

9x² = 72 × 2

9x² = 144

x² = 144/9

x² = 16

x = ±√16

x = ±4

x = ₊4 or x = 4

hence melody could have picked ₊4 or ₋4 numbers.

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Answer:

Step-by-step explanation:

Probability is defines as the likelihood or chance that an event will occur.

Probability = expected outcome of event/total outcome.

Since a single die with 9 sides was rolled, the total event outcome will be 9*9 = 81

Expected outcome will be the event that the sum of the two rolls equals 3. The possible outcomes are {(1,2), (2,1)}. The expected outcome is 2

Probability that the sum of the two rolls equals 3 = 2/81

The probability that the sum of the two rolls equals 3 is \(\dfrac{2}{81}\).

Important information:

We need to find the probability that the sum of the two rolls equals 3.

If a die with 9 sides is rolled twice, then the number of total possible outcomes is:

\(9\times 9=81\)

The sum of the two rolls equals 3, if we get 1, 2 and 2, 1. It means the number of favorable outcomes is 2.

\(P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)

\(P=\dfrac{2}{81}\)

Therefore, the probability that the sum of the two rolls equals 3 is \(\dfrac{2}{81}\).

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Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

Step-by-step explanation:

Hello! In order to get the best explication for your question, here's the link to a useful website:

https://geometryhelp.net/area-parallelogram-diagonals/

I believe, it's better for you to understand how to use the Heron's formula in other contexts so as to understand deeper into details how to apply it

Hope it helped!

Answer:36.7

Step-by-step explanation:

Answer:

14 eggs

Step-by-step explanation:

7 eggs for ine batch so if you are making 2 you would do 7 times 2 and get 14. 14 eeg is your answer

The car is traveling 3 meters second

Step-by-step explanation:

you divide 15 by 5 and you get 3

Answer:

3 m/s / 10.714 km/hr

Step-by-step explanation:

15m/5s

3m/1s

3m ÷ 1000 = 0.003 km

1s ÷ 3600 = 0.00028 hr

0.003 km/ 0.00028 hr

=10.714 km/hr approx.

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

8A+5(40-A)=272

8A+200-5A=272

3A+200=272

3A=72

A=24

Therefore, there are 24 adults

Answer:

  3.  7632

  4.  485

Step-by-step explanation:

3. The only prime digit greater than 6 is 7, so that is the thousands digit. The only even prime is 2, so that is the ones digit.

In order for the number ending in 2 to be divisible by 4, the tens digit must be odd. The only odd numbers that have a double that is an even digit are 1 and 3. Since all digits must be different, the hundreds digit cannot be 2×1 = 2, but must be 2×3 = 6.

The number is 7632.

__

4. In order for an odd number to be divisible by 5, its ones digit must be 5, not 0. Then the tens digit is 5+3 = 8, and the sum of these two digits is 5+8 = 13. To make the total of digits equal to 17, the hundreds digit must be 17-13 = 4.

The number is 485.