Mathematics College



Given the following functions f(x) and g(x), solve (f ⋅ g)(2) and select the correct answer below: (1 point)

f(x) = 2x2 − 10

g(x) = x + 9



−22


22


−66


66

Answers

Answer 1
For this case we have the following functions:
 f (x) = 2x2 - 10
 g (x) = x + 9
 Evaluating both functions for x = 2 we have:
 f (2) = 2 (2) ^ 2 - 10 = 8 - 10 = -2
 g (2) = (2) + 9 = 2 + 9 = 11
 Then, multiplying both functions we have:
 (f ⋅ g) (2) = (-2) (11)
 (f ⋅ g) (2) = -22
 Answer:
 the correct answer below is:
 -22
Answer 2

Answer:

-22

Step-by-step explanation:

Give other person brainliest

Related Questions

if the customer's order came to $6.22 and he gave you $20.25 what is his change

Answers

He'll get $14.03 because 20.25 is what he gave but it only came up to 6.22 so 20.25-6.22=14.03
$14.03, just subtract $6.22 from the $20.25

Two functions are represented in different ways. Function 1: y = 32x + 45 Function 2: x y 0 65 1 85 2 105 3 125 Which statements are true? Select each correct answer. Function 1 has a greater rate of change than function 2. Function 2 has a greater rate of change than function 1. Function 1 has a greater y-intercept than function 2. Function 2 has a greater y-intercept than function 1.

Answers

Function 1: y = 32x + 45
rate of change = 32
y-intercept = 45 when x = 0


Function 2: x y 0 65 1 85 2 105 3 125 
rate of change = (85-65)/(1-0) = 20
y-intercept = 65 when x = 0


So the following statements are correct:

Function 1 has a greater rate of change than function 2.

Function 2 has a greater y-intercept than function 1.

Answer:


Step-by-step explanation:

Function 1: y = 32x + 45 <- 45 is y-intercept

Function 2: x y 0 65 <- 65 is y-intercept

So Function 2 has a greater y-intercept than function 1.


Function 1: y = 32x + ... <- 32 is rate of change

Function 2: x y 0 65 1 85

rate of change = 85 - 65 = 20

So Function 1 has a greater rate of change than function 2.


Find the area of 7.1m. Round to the nearest tenth. Use 3.14.

Answers

The area is 158.2874 m²

in an experiment, the control variable is r and the response variable is s. which variable is not manipulated, but measured, and represents the data being recorded

Answers

S.
Control variables are kept constant between experiments.

Control variable r is not manipulated, but measured and represents the data being recorded.

What is mean by Variables?

A variable is a value that can change, depending on information.

Given that;

In an experiment, the control variable is r and the response variable is s.

Now,

Control variable is a variable that's always constant in an experiment.

It is not a variable of interest in the study, but its controlled because it could influences the outcomes.

Thus, Control variable r is not manipulated, but measured and represents the data being recorded.

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x-1/x-1=1
Solve the equation.
These are fractions

Answers

x = all real numbers, except for x = 1.

A number divided by itself will always yield a result of 1. (x-1) is being divided by (x-1), which means that both the numerator and denominator are identical. This will always produce a result of 1, with one exception:

x cannot equal 1, as division by zero is impossible. (1-1) = 0.


beth wants to buy shelves to hold 38 boxes of photos there is a shelf that will hold 8 boxes of photos beth calculates that 38/8=4 r6 how many shelves will beth need to hold all 38 photo boxes

Answers

Given that Beth wants a shelf that will hold 38 photos and there is a shelf that holds 8 photos. Then the number of shelves that hold 8 photos that Beth will purchase will be :
38/8
=4.75
~5 shelves
thus the answer is 5 shelves

Find the lowest common multiple of 28 and 210

Answers

Answer:

420

Step-by-step explanation:

210 = 14×15

28 = 14×2

The LCM wil be the product of unique factors;

... LCM = 14×15×2 = 420

Suppose there is exactly one index k such that a[k] = x. what is the expected number of indices into a that we must pick before we find x and random-search terminates?

Answers

Suppose there is only one index k such that a [k] = x. What is the expected index number of indexes that must be selected before x and random search?

Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If Morgan uses 5 pounds of raisins, how many pounds of raisins are in her supply?

Answers

There are 8 pounds of raisins in Morgan's supply.

Let us say there are 'a' pounds of raisins in her supply.

What is a fraction?

Fraction is a manner to represent part of a whole.

Raisins used to make trail mix = 1/4 of a = 1/4 a

Raisins used to make cookies = 3/8 of a = 3/8 a

It is given that:

Morgan uses 5 pounds of raisins,

[tex]\frac{1}{4} a+\frac{3}{8} a=5[/tex]

[tex]\frac{5}{8} a = 5\\\\a=8[/tex]

Therefore, there are 8 pounds of raisins in Morgan's supply.

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Morgan's total supply of raisins is 8 pounds.

Let's denote the total supply of raisins by R. According to the problem, Morgan uses 1/4 of her supply to make trail mix and 3/8 of her supply to make cookies. Together, this amounts to a total of five pounds of raisins used.

We set up the equation to represent the total amount of raisins used:

1/4 R + 3/8 R = 5

We need to find a common denominator to combine the fractions. Here, the common denominator is 8:

(2/8) R + (3/8) R = 5

Combining the fractions gives:

(5/8) R = 5

To isolate R, we multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:

R = 5 * 8/5

When we simplify, we get:

R = 8

So, Morgan's total supply of raisins is 8 pounds.

The following figures were entered on a checking-account record. Add or subtract them to keep the running total correct. Balance forward $643.72 Check #5734 to Lupe's Market, for food, for $68.29 $ Deposit of $341.80, a paycheck $ Check #5735 to Broadmoor Community Center in the amount of $34.18 $ Check #5736 to Bill Baughman, for plumbing services, for $60.00 $

Answers

It is given  Balance forward $643.72 in the account.  An amount of $68.29 is given to to Lupe's Market, for food. In the account a Deposit of $341.80 is made.A Cheque of $34.18 is given to Broadmoor Community Center .Charge for for plumbing services, is $60.00 .

Transactions made in the account = $643.72-68.29+341.80-34.18-60.00

Amount left in the account =$823.05.

Answer:

Running Total = $823.05

Step-by-step explanation :

When the figures were entered on a checking account record to keep the running total correct :

Balance forward = $643.72  

Check #5734 to Lupe's Market for food = $68.29

A deposit  = $341.80

Check #5735 to Broadmoor Community Center = $34.18

Check #5736 to Bill Baughman for plumbing services = $60.00

Total Transactions :

643.72 - 68.29 + 341.80 - 34.18 - 60 = $823.05

Total balance = $823.05

A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.
A) A(s) = 2s
144 - s2
B) A(s) = s
144 - s2
C) A(s) = 2s
12 - s2
D) A(s) = 12s
144 - s2

10)
The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)?
A) 12 ft
B) 13 ft
C) 14 ft
D) 15 ft

Answers

Part a)
we know that
area of triangle=b*h/2
b=s
applying the Pythagoras theorem
h²=12²-s²--------> h=√(144-s²)
so
A=(1/2)*s*√(144-s²)
Part b)
applying the Pythagoras theorem
c²=a²+b²
in this problem
c is the minimum length ladder needed to reach the top of the wall
a=5 ft
b=13 ft
so
 c²=5²+13²-----> c²=194--------> c=13.93 ft-------> c=14 ft

the answer is 
14 ft

A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger go?

Answers

Hello!

You can use the Pythagorean Theorem to solve this

[tex] a^{2} + b^{2} = c^{2} [/tex]

c is the hypotenuse
a and b are the legs

Put in the values you know

[tex] 1.5^{2} + b^{2} = 1.7^{2} [/tex]

Square the numbers

[tex]2.25+ b^{2} =2.89[/tex]

Subtract 2.25 from both sides

[tex] b^{2} =0.64[/tex]

Take the square root of both sides

b = 0.8

The answer is 0.8km

Hope this helps!

Final answer:

To find out how far south the jogger went, we use the Pythagorean theorem. Given the distances of 1.5 km west and 1.7 km from the start, the jogger went 0.8 km south.

Explanation:

To determine how far south the jogger went, we can use the Pythagorean theorem, as the jogger's path forms a right-angled triangle where one leg of the triangle is the distance west, the other leg is the distance south, and the hypotenuse is the distance from the starting point.

The question states the jogger goes 1.5 km west and ends up 1.7 km from the starting point. We denote the distance travelled south as y. According to the Pythagorean theorem:

west^2 + south^2 = distance from start^2

y = √0.64

y = 0.8 km

So the jogger went 0.8 km south.

Which is the graph of f(x) = x2 – 2x + 3? Help its timed, also don't want an verified answers

Answers

)))))))))))))))))))))))))))

to resolve this type of exercise  you must in first place to verify The determinant of the function to know if it cuts to the x axis, with the following formula  b^2-4ac, if this value is less than zero then the function , do not cut the x axis, now  -(2)^2-4(1)(3) =  -8, as this value is negative, it means that is less than zero nd the function do not cut the x axis

2) the graph cut the y axis eN Y = 3  for x= o,  F(0) = 0+2*0+3 = 3


3) This is the graph

Evaluate the expression 5a + 5b. Let a = -6 and b = -5.

Answers

Evaluate the expression 5a + 5b. Let a = -6 and b = -5.

n = 5a + 5b
n = 5(-6) + 5(-5)
n = -30 + -25
n = -55

Hope this helps

-55 is your answer !!!!

Chord SR intersects tangent AB to form ∠SRA. Find m∠SRA.

A. m∠SRA = 40°

B. m∠SRA = 80°

C. m∠SRA = 100°

D. m∠SRA = 140°

Answers

see the picture attached to better understand the problem

we know that

C is the center of the circle
CR=CS-----> is the radius of the circle
CR and AB are perpendicular
the triangle SCR is a isosceles triangle
angle SCR is equal to 80°------> is a central angle
angle CSR and angle CRS are equal  to 50°----> because 80+50+50=180

therefore
m∠SRA=90°-m∠CRS------> m∠SRA=90°-50°=40°

the answer is
m∠SRA=40°

Answer:

C.

Step-by-step explanation:

Q #9. find the volume of the sphere

Answers

volume of the sphere = (4/3)π r³ = (4/3)π 5³ = (4/3) * 3.14 * 5³ =523.33 in³
                                                    = 523 in³
The correct answer is the first


we know that
volume of a sphere=(4/3)*pi*r³
for r=5 in
volume of a sphere=(4/3)*pi*5³-------> 523.33 in³-------> volume =523 in³


the answer is
the volume is equal to 523 in³

A group of students recycled 7 2/3 pounds of glass and 9 3/4 pounds of paper. How many pounds of glass and paper did the students recycle alltogether?

Answers

well, is namely just their sum, let's firstly convert the mixed fractions to "improper" and then add them,

[tex]\bf \stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}} \\\\\\ \stackrel{mixed}{9\frac{3}{4}}\implies \cfrac{9\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{39}{4}}\\\\ -------------------------------\\\\ \cfrac{23}{3}+\cfrac{39}{4}\qquad \stackrel{LCD~of~12}{\implies }\qquad \cfrac{4(23)+3(39)}{12}\implies \cfrac{92+117}{12} \\\\\\ \cfrac{209}{12}\implies 17\frac{5}{12}[/tex]

The students recycle 17 5/12 pounds of glass and paper all together.

What is a fraction?

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Pounds of glass recycled = 7 2/3

⇒ Pounds of glass recycled = 23/3

Pounds of paper recycled = 9 3/4

⇒ Pounds of paper recycled = 39/4

Thus, total pounds of glass and paper recycled = Pounds of glass recycled + Pounds of paper recycled

⇒ total pounds of glass and paper recycled = 23/3 + 39/4

⇒ total pounds of glass and paper recycled = 209/12

⇒ total pounds of glass and paper recycled = 17 5/12 pounds

Thus, the students recycle 17 5/12 pounds of glass and paper all together.

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amelia and 2 of her friends went out to lunch. each girl ordered exactly the same meal. the total cost 55.08, which included 8% sales tax. what was the price of each meal, not including tax?

Answers

Cost of the meal with tax = 108% = $55.08

108% = 55.08
1% = 55.08 ÷ 108 = $0.51
100% = $51

3 meals = $51
1 meal = $51 ÷ 3 = $17

Answer: $17

Answer:

$16.8912

Step-by-step explanation:

We are given that Amelia and her  two friends went out to lunch.

If each girl ordered exactly the same meal.

We have to find out the value of price of  each meal without tax.

Total cost of meals=$55.08

Cost of 3 meals with tax=$55.08

Sales tax=8% of $55.08

8% of 55.08=[tex]\frac{8}{100}\times55.08[/tex]

8% of 55.08= $4.4064

Cost of 3 meals without tax=$55.08-$4.4064=$50.6736

Cost of each meal=[tex]\frac{50.6736}{3}=[/tex]$16.8912

Hence, the cost of each meal without tax=$16.8912

please help asap. this circle is centered at the origin and the length of its radius is 8. what is the circles equation

Answers

d. x^2 + y^2 = 64
D is 're correct answer

Answer: [tex]x^2 + y^2 = 64[/tex]

Step-by-step explanation:

Since, the equation of a circle that having the center (h,k) and radius r is,

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Here the circle is centered at the origin,

That is, h = 0 , k = 0

Also, the radius of the circle is 8,

That is, r = 8 unit,

Thus, the equation of the given circle,

[tex](x-0)^2 + (y-0)^2 = 8^2[/tex]

[tex]x^2 + y^2 = 64[/tex]

what tool or tools would you choose to use to solve this problem?

Answers

Which problem? these seem like some questions I Can answer

Answer:

A tool.

Now I just need to put filler so I'm just gonna copy and paste. Now I just need to put filler so I'm just gonna copy and paste.

paula earned a 56% on her test. If she got 14 problems correct. how many did she get incorrect

Answers

21 problems total taken so 7 were correct

Farmer Ed has 7000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed?

Width = 2x
Length = 7,000-2x

Answers

Hope this helps you!

In Youngtown the population reach 4420 people in 1993 in 1998 there were 5600 residents what was toe population in the year 2000

Answers

So, let's find the rates:
5 years = 1180 people
5n = 1180
n = 236
236*2 = 472
5600 + 472 = 6072
6072 people

who do you write a function

Answers

You can determine what variable your function depends upon. In the example of y = 2x + 6, the function changes as the value of x changes, so the function is dependent upon x. The left side of your function is the name of your function followed by the dependent variable in parentheses, f(x) for the example.

#3 Q. the diagrams solve please

Answers

Its the first one, 22.5. This is because... if you multiply 5 and 4, you would get 20, the area of the square. You then have to multiply 1 and 5 to get 5 and divide it by 2 to get the area of the triangle which would be 2.5, then add 2.5 to 20 and get 22.5.
Hope this helps :)
Answer:
area = 22.5 ft²

Explanation:
The total area can be calculated by summing the areas of the rectangle and the triangle.

1- getting the area of the rectangle:
area of square = length * width
In the given, we have:
length = 4 ft
width = 5 ft
Therefore:
area of rectangle = 4 * 5 = 20 ft²

2- getting the area of the triangle:
area of triangle = 0.5 * base * height
In the given, we have:
base = 5 ft
height = 1 ft
Therefore:
area of triangle = 0.5 * 5 * 1 = 2.5 ft²

3- getting the total area:
Total area = area of rectangle + area of triangle
Total area = 20 + 2.5 = 22.5 ft²

Hope this helps :)

Find the GCF of the following terms.
16xy^3 , 20x^2y^2 , -4x^2y

Answers

[tex]16xy^3=4xy\cdot4y^2\\\\20x^2y^2=4xy\cdot5xy\\\\-4x^2y=4xy\cdot(-x)\\\\GCF(16xy^3;\ 20x^2y^2;\ -4x^2y)=4xy[/tex]

What is the value of q when the solution contains 2.50×x10−3 m mg2+ and 2.00×10−3m co32−?

Answers

The correct answer is: Q = [tex]5.0 * 10^{-6}[/tex]

Explanation:

The chemical equation is:
[tex]MgCO_3 \to Mg^{2+} + CO_3^{2-}[/tex]

The value of Q can be obtained as follows:

Q = [[tex]Mg^{2+}[/tex]][[tex]CO_3^{2-}[/tex]]
Q = [2.50×x10^−3][2.00×10^−3]
Q = [tex]5.0 * 10^{-6}[/tex]

expand in logarithmic expression

Answers

[tex]\ln \left( \sqrt{r^{8}s^{6}} \right)=\ln \left( \left( r^{8}s^{6} \right)^{\frac{1}{2}} \right)\\ =\dfrac{1}{2}\ln \left( r^{8}s^{6} \right)=\dfrac{1}{2}(8\ln(r)+6\ln(s))\\ =4\ln(r)+3\ln(s)[/tex]

PLEASE HELP The data below shows the scores of some students on a test: 28, 30, 22, 20, 24, 23, 32

Answers

What is the question?

hey can you please help me posted picture of question

Answers

If you observe the graphs, you can see that the graph of G(x) is obtained by moving F(x) 1 unit to left.

Moving one unit to left is equivalent to adding 1 to x in the base of the expression in given case.

So,

G(x) = F(x+1)

G(x) = (x+1)²

Thus the correct answer is option D
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how does the narrator of the fall of the house of usher describe ushers own work of art A. as large, bright, and openB. as inspired, creative, and beautiful C. as small, dark, and menacing 'D. as intense, ghastly, and inappropriate Please help !!!!!!!! What was the purpose of the United Nations? It wanted to stop the spread of democracy. It was an assembly of nations to work out issues facing the world. The initial purpose was to decide consequences for the agressors in World War I. The United Nations was used to enforce Communism and Socialism. In a typical lightning strike, 2.9 c flows from cloud to ground in 0.18 ms. what is the current during the strike? The lengths of two sides of a triangle are 5 inches and 16 inches find the range of possible lengths for the third side Find the surface area of the cylinder in terms of .A) 108 cm2 B) 144 cm2 C) 180 cm2 D) 216 cm2 Which statements about subjective ideas are true? Check all that apply. a They can be proven with facts.b They cannot be supported with facts.c They are based on opinions.d They recognize all relevant evidence of an idea.e They use only evidence that supports the idea.will put brainliest if right! What is the purpose of the coronary artery and what results if there is blockage in this vessel ? cousrse hero? Name two prey adaptations how does each adaptation protect the organism You make a solution by putting 45.6g of iron lll carbonate into 167ml of water. What is it's molarity? You also need 25ml of a .672M Nickel ll hydroxide solution. Explain how to make that. Now write the balanced equation that occurs when you put these two reactants together. The molarity of the iron product will be .05 and the molarity of the nickel product will be 1.45. At equilibrium, what will be favored? What did jesus mean when he said he came to fulfill the law and the prophets? The dot plot shows the number of goals that the Springlane High School soccer team scored per game last season. How many games did the team play? REPHRASE THIS INTO LESSER WORDS:Once upon a time widespread throughout the Yangtze River network in China, but eventually fell victim to widespread pollution, development and hunting. The Yangtze giant softshell turtle is the largest freshwater turtle in the world. Only three specimens are known to exist in the world after a fourth one died in Vietnam in January 2016 Only one is female, meaning that the survival of the species rests entirely on her capacity to breed.However, she's 100 years old, and so far there's no sign of motherhood for the old turtle. Scientists are working to improve conditions at the enclosure to improve the odds that a brood will survive. As a "rule of thumb" estimate, athletes who wish to increase muscle mass should increase daily energy intake by approximately ____ kcal. Which expressions are equivalent to the one below? Check all that apply.8^xA. 32^x/4B. (32/4)^xC. 8 * 8^x + 1D. x^4E. 32^x/4^xF. 8 * 8^x-1 You get how to do this. Plzz helo me Which of the following would you most likely be doing to the meat in your dish if you were using a salamander? A. Glazing B. Smoking C. Grilling D. Sauting What is the simplified form of \sqrt((72x^(16))/(50x^(36))) ? Assume x 0.? Can someone tell me if I got this answer correct? If not, what is the correct answer? The agricultural practice of spraying insecticides leaves behind which pollutant in the soil? A. Chemical poison B. Excess nitrogen C. Excess salt D. Acidic compounds