A basketball player scored 22 times during one game. He scored a total of 38 points, two for each two -point shot and one for each free throw. How many two -point shots did he make? How many free throws?

The sequence is arithmetic. The common difference is 6. Answer: b

If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ...  to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.

The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.

Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7

Therefore, the common difference d is 6.

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Answer:

(-2,-4)

Step-by-step explanation:

Cant explain but its that one.

Answer: -4x³ + 33x + 20

Step-by-step explanation:

(-4x³ + 35x + 25) + (-2x - 5)

↓ You determine the sign

-4x³ + 35x + 25 - 2x - 5

↓ Reorder and gather like terms

-4x³ + (35x - 2x) + (25 - 5)

↓ Then collect coefficients of like terms

-4x³ + (35 - 2) x x + (25 - 5)

↓ Calculate the sum or difference

-4x³ + 33x + (25 - 5)

↓ Calculate the sum or difference

-4x³ + 33x + 20

The expression \((-4x^3 +35x+25)/(-2x-5)\) when simplified gives us -2x² + 5x - 5. The Option C.

To divide the polynomial (-4x³ + 35x + 25) by (-2x - 5), we can use long division.

The steps are as follows:

       -2x²

   _________________________

-2x - 5 | -4x³ + 35x + 25

           - (-4x³ + 10x²)

        ___________________

                  25x + 25

               - (25x + 50)

            _______________

                            -25

The remainder is -25.

So, the division of (-4x³ + 35x + 25) by (-2x - 5) yields the quotient -2x² + 5x - 5.

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Answer:

The answer is A

Step-by-step explanation:

(x-6)2

=x2-12x+36

The required factor form of the polynomial equation x²-12x+36 is (x-6)².
Option A is correct.

The factored form of the polynomial x² − 12x + 36 equation is to determined.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here, The given polynomial function f(x) =  x²− 12x + 36
Factorization of a given polynomial function,
f(x) = x²− 12x + 36
spitting 12x in 6x+ 6x
f(x) = x²− 6x-6x + 36
taking commons
f(x) = x(x− 6)-6(x - 6)
f(x) = (x− 6)(x - 6)
f(x) = (x− 6)² is the factorized form of  f(x) =  x²− 12x + 36.

Thus, The required factor form of the polynomial equation x²-12x+36 is (x-6)².

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Answer:

5%

Step-by-step explanation:

220/11 = 20

100% / 20% = 5%

hope this helps you ;)

Answer:

5%.

Step-by-step explanation:

220 is the starting value.

209 is the decreased value.

To calculate a percentage decrease, you must first subtract the starting value from the decreased value.

220 - 209 = 11.

Then, divide the difference by the absolute value of the starting value.

**ABSOLUTE VALUE - A NUMBER'S DISTANCE FROM 0.**

The absolute value of 220 is 220.

11 / 220 = 0.05.

Lastly, multiply the quotient by 100

0.05 × 100 = 5.

Therefore, the price was reduced by 5%.

The product is positive; this means there was a decrease in price, and not an increase. Ex. 5

If the product is negative, this means there was an increase in price, and not a decrease. Ex. -5

12.497 square units is the  area a of the triangle whose sides have the given lengths.

To find the area (a) of a triangle given the lengths of its three sides (a, b, and c)

we can use Heron's formula, which is:

a =√s(s-a)(s-b)(s-c)

where s is the semi perimeter of the triangle, which is half the perimeter, and is given by:

s = (a + b + c) / 2

Using the values of a = 7, b = 5, and c = 5, we can calculate the semi perimeter as:

s = (a + b + c) / 2

= (7 + 5 + 5) / 2

= 8.5

Now we can use Heron's formula to find the area:

a =√s(s-a)(s-b)(s-c))

= √8.5(8.5-7)(8.5-5)(8.5-5)) = 12.497

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A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, and Q is referred to as the conclusion. "If P then Q" implies that Q must be true sometimes when P is true.

The type of conditional statements are as follows:

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.

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Answer: D = 68

Step-by-step explanation:

set VW and WX equal to each other

3x + 7 = x + 25

subtract x from both sides

2x + 7 = 25

subtract 7 from both sides

2x = 18

divide 18 by 2x to find x

x = 9

plug x in to get the full answer

3(9) + 7 + (9) + 25

Answer:

See Explanation

Step-by-step explanation:

\(x+y=40\\2.25x+1.75y=83.5\\\)

from the first you have

\(h=40-p\) substitute into the second:

\(2.25(40-p)+ 1.75x= 83.5\\90-2.25y+1.75x= 83.5\)remaining

\(0.5y=6.5\\p= \frac{6.5}{0.5} =13\\\)

substitute back into \(h= 40 - y\\h = 40 - 13 = 27\)

Hope this helped :)

Answer:

there not the same and eqjral

Step-by-step explanation:

Answer:

x = 3.96

Step-by-step explanation:

The ratio for the big triangle is 5:6, so is likely the ratio for the smaller one.

3.3 x 6/5 = 3.96

6 / 3.96 =  1.51515151515

5 / 3.3 =  1.51515151515

Triangles are congruent.

Answer:

3.96 ft.

Step-by-step explanation:

10pack------------>$17.35

1 pack-------------->x

using cross multiplication

10/1 = 17.35/x

Solving for x:

x = 17.35/10 = $1.735

Therefore each pack costs $1.735

18/42 and 2 and 14/42

Step-by-step explanation u need the 1/3 and ok im sry but i tried figuring it out but i d k

To answer this question, we need information about the locations of Omar, Marc, and Lily, as well as the distance between each of these locations.

Without this information, it is impossible to determine how many miles farther Marc will have to travel now than if he took the shortest route to visit Lily.

To calculate this, we need to determine the distance between the original starting point and Lily, as well as the distance between the new starting point and Lily after visiting Omar.

Then, we can subtract the shortest distance from the new, longer distance to find the difference. Please provide more information so I can better assist you. To answer this question, we need information about the locations of Omar, Marc, and Lily, as well as the distance between each of these locations.

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Step-by-step explanation:

f(x + 1) = (5/2)*f(x)

f(x + 1) = 2.5*f(x), f(1) = 3.2

f(2) = 2.5f(1) = 2.5*3.2 = 8

f(3) = 2.5f(2) = 2.5*8 = 20

f(4) = 2.5f(3) = 2.5*20 = 50

f(5) = 2.5f(4) = 2.5*50 = 125

Answer:

8(x-4)

= 8x - 32

hope it helps

The coordinates of rectangle E″F″G″H″ are given as

E″ (–1, 5), F″ (–1, 1), G″ (–4, 1), H″ (–4, 5). Option C

This is further explained below.

Generally, The two components that make up GPS coordinates are referred to as latitude, which gives the location in terms of north and south, and longitude, which gives the position in terms of east and west.

You may convert any address into its corresponding GPS coordinates by using this map. You are also able to discover the location of any GPS coordinates and geocode the address of the site if it is accessible.

In conclusion, The coordinates of rectangle E″F″G″H″ is given as

E″ (–1, 5), F″ (–1, 1), G″ (–4, 1), H″ (–4, 5). Option C

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CQ

Rectangle EFGH is reflected across the origin and then rotated 90° clockwise about the origin, forming rectangle E″F″G″H″. What are the coordinates of rectangle E″F″G″H″?

(A.) E″ (1, –5), F″ (1, –1), G″ (4, –1), H″ (4, –5)

(B.) E″ (–1, –5), F″ (–1, –1), G″ (–4, –1), H″ (–4, –5)

(C.) E″ (–1, 5), F″ (–1, 1), G″ (–4, 1), H″ (–4, 5)

(D). E″ (5, 1), F″ (1, 1), G″ (1, 4),

H″ (5, 4)

Answer:

Step-by-step explanation:

50/3=16.66666667

Answer:

la fracción completa es 50/3 o 48 2/3.

Step-by-step explanation:

50 dividido por 3 es una fracción: 50/3 Entonces el número mixto será 48 2/3

¡Hasta luego amigo!

Answer:

Step-by-step explanation:

Answer:

25 little box will fit in the large box

Step-by-step explanation:

50×30×20=3000

10×3×4=120

so 3000/120=25

Answer: 25

Step-by-step explanation:

big cuboid=abc=50×30×20=3000cm3

little cuboid=10×3×4=120cm3

3000÷120=25

The surface integral of the function g(x, y, z) over the surface S is evaluated.

To evaluate the surface integral, we consider the rectangular prism formed by the coordinate planes and the planes x = 2, y = 2, z = 3. This prism encloses a six-sided surface S. The surface integral of a function over a surface measures the flux or flow of the function across the surface.

In this case, we are integrating the function g(x, y, z) over the surface S. The specific form of the function g(x, y, z) is not provided in the given question. To evaluate the surface integral, we need to know the expression of g(x, y, z).

Once we have the expression for g(x, y, z), we can set up the integral by parameterizing the surface S and calculating the dot product of the function g(x, y, z) and the surface normal vector. The integral will involve integrating over the appropriate range of the parameters that define the surface.

Without the specific expression for g(x, y, z) or further details, it is not possible to provide the exact numerical evaluation of the surface integral. However, the general procedure for evaluating a surface integral involves parameterizing the surface, setting up the integral, and then performing the necessary calculations.

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1) Since we want to match the other graphs let's start by

Let's consider the

a) f(X) and A

As the graph is 3 units to the left and 5 units down we can rewrite A as

A = (f(x)+3)-5

b)

As the graph B is 3 units up and 2 units to the right we can rewrite B as

B= (f(x) -2)+3

c) As the graph C is 2 units up and 7 units to the left we can rewrite B as

C= (f(x)+7)+2

d) As the graph D is 3 units down and 3 units to the right we can rewrite D as:

D = (f(x)-3)-3

e) As the graph E is 6 units up we can rewrite E as:

E = f(x) +6

Answer:

sorry for being late but the answer is c 616 cm

Step-by-step explanation:

A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

B. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

C.  The sampling distribution of p is approximately normal.

D. We find that the probability is 0.0912 or about 9.12%.

E. We get:z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

a. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

b. The sample proportion, p, is a random variable because it varies from sample to sample. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

c. The sampling distribution of p is approximately normal if the sample size is sufficiently large and if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the population proportion. In this case, we have:

Sample size (n) = 100

Population proportion (p) = 0.82 Thus, np = 82 and n(1-p) = 18, both of which are greater than 10. Therefore, the sampling distribution of p is approximately normal.

d. To calculate the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85, we need to find the z-score and then look up the corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.85 - 0.82) / sqrt[0.82(1-0.82)/100] = 1.33

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0912 or about 9.12%.

e. Yes, it would be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life. To check if it is unusual or not, we need to calculate the z-score and find its corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0106 or about 1.06%. Since this probability is less than 5%, it would be considered unusual to observe 75 or fewer Americans being satisfied with the way things are going in their life.

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Answer:

p=i/rt

Step-by-step explanation:

its p= i over rt