Answer:
(f + g)(x) = x + 5
Explanation:
f(x) = 2x + 3
g(x) = 3x + 2
===========
(f + g)(x)f(x) + g(x)2x + 3 + 3x + 25x + 5Answer:
[tex](f+g)(x)=5x+5[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=2x+3[/tex]
[tex]g(x)=3x+2[/tex]
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]
Do Not Red
consider the net of a rectangular pyramid.
156 ft
63 ft S132 ft
63 ft
66 ft
1
156 ft
What is the surface area, in square feet, of the rectangular pyramid?
A 336 ft2
B 434 ft2
C 2,350 ft2
D 7,824 ft2
Answer:
c
Step-by-step explanation:
se upper and lower sums to approximate the area of the given region and given number of subintervals.
1. = from x=0 to x=1 with 4 subintervals.
2. = 4― from x=0 to x=2 with 4 subintervals.
3. = 1
from x=1 to x=2 with 5 subintervals.
The estimated areas are listed below:
The area of the function is approximately 0.806.The area of the function is approximately 2.088.The area of the function is approximately 0.696.How to approximate the area of a given region with a given number of subintervals
Right Riemann sum based on trapezoids offer a compact method that combines upper and lower sums, which is defined below:
[tex]A = \frac{b-a}{2\cdot n}\cdot \sum_{i = 0}^{n-1} [f(x_{i})+f(x_{i+1})][/tex] (1)
Where:
b - Upper bounda - Lower boundn - Number of subintervalsi - Subinterval indexIn this question we must apply right Riemann sums to estimate the areas of functions on given intervals. Now we proceed to solve each case below:
Case I ([tex]f(x) = \sqrt{x}[/tex], [tex]a = 0[/tex], [tex]b = 1[/tex], [tex]n = 4[/tex])[tex]A = \frac{1-0}{2\cdot (4)} \cdot [(0+\sqrt{0.5})+(\sqrt{0.5} + 1)+(1+\sqrt{1.5})+(\sqrt{1.5}+2)][/tex]
A ≈ 0.806
The area of the function is approximately 0.806. [tex]\blacksquare[/tex]
Case II ([tex]f(x) = 4\cdot e^{-x}[/tex], [tex]a = 0[/tex], [tex]b = 2[/tex], [tex]n = 4[/tex])[tex]A = \frac{2-0}{2\cdot (4)}\cdot [(4+1.472)+(1.472+0.541)+(0.541+0.199)+(0.199-0.073)][/tex]
A ≈ 2.088
The area of the function is approximately 2.088. [tex]\blacksquare[/tex]
Case III ([tex]f(x) = \frac{1}{x}[/tex], [tex]a = 1[/tex], [tex]b = 2[/tex], [tex]n = 5[/tex])[tex]A = \frac{2-1}{2\cdot (5)} \cdot [(1+0.833)+(0.833+0.714)+(0.714+0.625)+(0.625+0.556)+(0.556+0.5)][/tex]
A ≈ 0.696
The area of the function is approximately 0.696. [tex]\blacksquare[/tex]
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS THANKS
Answer:
1/6
Step-by-step explanation:
Hope it helps you in your learning process
Answer:
the second one
Step-by-step explanation:
1/6
brainliest pls
A right triangle has legs measuring 18 in. and 26 in.
What is the length of the hypotenuse?
Round to the nearest tenth.
18.8 in.
31.6 in.
44.0 in.
100.0 in.
i know the answer but I need someone to explain to me how to do this, I do a^2+b^2 +c^ and i keep getting 26
Answer:
The answer is 100 in
Step-by-step explanation:
The pythagorean theorm states that, for any right triangle where a and b are the legs and c is the hypotenuse, a^2 + b^2 = c^2. So, we can substitute and solve.
18^2 + 26^ 2 = c^2
324 + 676 = c^2
1000=c^2
Square root of 1000 = c
100.0=c
Hope this helps!
pls help if u do ill give brainlist
Answer:
C. [tex]1\frac{2}{10}[/tex]
Step-by-step explanation:
[tex]\frac{30}{100}+\frac{9}{10}=\frac{30}{100}+\frac{90}{100}[/tex]
[tex]\frac{30}{100}+\frac{90}{100}=\frac{120}{100}[/tex]
[tex]\frac{120}{100}=1\frac{20}{100}[/tex]
[tex]1\frac{20}{100}=1\frac{2}{10}[/tex]
Explanation:
[tex] \frac{300}{100} + \frac{9}{10} [/tex]
[tex] \frac{30}{10} + \frac{9}{10} [/tex]
[tex] \frac{3 + 9}{10} [/tex]
[tex] \frac{3 + 9}{10} = \frac{12}{10} [/tex]
Cross out common factors.
[tex] \frac{6}{5} [/tex]
Answer:
[tex]1 \frac{2}{10} [/tex]
Hope this helps.
utilize graphing to find the solution to the following system of equations.
The system of equations has two distinct equations
The solution to the system of equations is (-2,-1)
How to determine the solution?The system of equation is given as:
y = 2x + 3
And
y = 3x + 5
Start by plotting the graphs of the equations
From the graph (see attachment), we have:
(x,y) = (-2,-1)
Hence, the solution to the system of equations is (-2,-1)
Read more about system of equations at:
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The reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes. what is the critical value for z for a hypothesis test using a 5% significance level? z* =
The critical value for z for a hypothesis test using a 5% significance level is 1.65
It is given that the reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes.
It is required to find the critical value for z for a hypothesis test using a 5% significance level.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
We have a hypothesis H1 that wait time is actually greater than 60 minutes.
H1(T>60)
This is the case of the right-tailed hypothesis.
We have a significance level = 5% ⇒ 0.05
The statistics follow a normal distribution curve
Critical value = 1.6449 ≈ 1.65 (from the table at 5% significance level)
Thus, the critical value for z for a hypothesis test using a 5% significance level is 1.65
Know more about the normal distribution here:
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6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
I think it was the third century b.c. If not then I am sorry.
The first four terms of an arithmetic sequence are 7, 14, 21, 28... Calculate the sum of the first 50 terms.
Step-by-step explanation:
a = 7
d = 14-7 = 7
s(50) = n/2*[a+(n-1)*d]
= 50/2*[7+(50-1)*7]
= 8750
what are the missing reasons in the proof?
Answer:
Step-by-step explanation:
3) Opposite sides of a parallelogram are parallel
4) Alternate interior angles theorem
5) Reflexive property
6) ASA
Surface area
5.5 m
1.2 m
1.6 m
The triangle circumscribes the circle. What is the perimeter of the triangle?
Answer:
P = 72 ft
Step-by-step explanation:
the perimeter P is the sum of the 3 sides.
Tangents to a circle from an external point are congruent , then
side 24 = 15 + 9
side 21 = 9 + 12
Third side = 12 + 15 = 27 ft
P = 24 + 21 + 27 = 72 ft
A fruit punch is made with 32 ounces of ginger ale for every 12 ounces of frozen orange juice
concentrate. How much ginger ale should you use for 30 ounces of orange juice concentrate?
Answer:
80
Step-by-step explanation:
if you make a ratio table
32ginger ale = 12orange juice
now we now 6x5=20 so we can divide 12 by 2 which would give us 6 and the same with 32 which would give us 16 now you have
16ginger ale = 6 orange juice
and we need 30 orange juice so 6x5= 30 and we multiply 16 by 5 too so 16x5=80 t
therefore
80 ginger ale = 30 orange juice
Find the greatest number of children to whom 260 pens and 364 chocolates can be divided equally.
answer:
52
explanation:
52 is the highest shared factor of the two numbers.
52*5=260
52*7=364
--
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This morning, Deanna took a history test. She got 87 out of 90 problems right. What is
her final grade, as a percentage rounded to the nearest tenth?
Answer:
96.7%
Step-by-step explanation:
87/90 = 0.96666666
To make this number a percentage, we move the decimal point two places to the right. Her grade would be 96.6666 percent, which rounds up to 96.7%
Answer:
96.7%
Step-by-step explanation:
87÷90×100
The width of a rectangle with area 55in^2 depends on its length. write the formula that describes the width of the rectangle as a function of its length.
(screenshot attached if you need to see the problem better)
The formula that describes the width of the rectangle as a function of length is w = 55 / m.
How to find area of a rectangle?area of a rectangle = lw
where
l = lengthw = widthTherefore,
area = 55 inches²
length = m
width = w
Hence,
area = mw
55 = mw
divide both sides by m
55 / m = wm / m
w = 55 / m
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A growing farming conglomerate increases its water usage at a rate of 10% every year. If it
used 13,000 megaliters of water this year, then how much water will it use 17 years from
now?
The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.
What is the amount of water that would be used 17 years from now?The formula for calculating the amount of water that would be needed 1 years from now:
FV = P (1 + r)^N
FV = Future value P = Present value R = interest rate N = number of years13000 x 1.1^17 = 65,708.11
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Members of a softball team raised $1319.25 to go to a tournament. They rented a bus for $776.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answer:
13 players
Step-by-step explanation:
Money Raised=RentedBus+Meals
1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)
Subtract 776.50 from both sides: 542.75=41.75x
Divide both sides by 41.75: 13=x
Remember that x is for the number of players so there'll be 13 players going to the tournament.
What is the area of the triangle shown?
Answer:
6
Step-by-step explanation:
4 units x 3 units = 12 units / 2 to get a triangle
An event has a probability of 1/2. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answer:
Equally Likely
Step-by-step explanation:
The answer is equally likely because equally likely events have the same probability of happening as another event.
For example, a fair coin.
It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.
Hope this helps!
If an event has a probability of 1/2 then the likelihood of this event is,
C. Equally likely.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
As equally likely occurrences have the same likelihood of occurring as other events, the answer is equally likely.
A fair coin is an illustration.
Both tails and heads are equally likely to land because there is a 1/2 chance that it will be one or the other.
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Need help.............................
Answer: The answer is 8
Step-by-step explanation: If you round 9 52/69 you get 10 approximately and -1 29/50 is approximately -2 so 10-2=8
A rugby team sells tickets for $8. The team sells 129 tickets. How much money does the rugby team collect?
Answer:
136 tickets
You have to do 8x17
Expression Expanded Evaluated[tex]-6^{5} \\(-2)^{3} \\-3^{4}\\(-1)^{5}[/tex]
"7 * 4
the * is times
Step-by-step explanation:
that's it in expanded form"
Expanding the expressions:
1)
⇒ (-6)⁵
⇒ (-6)(-6)(-6)(-6)(-6)
⇒ -7776
2)
⇒ (-2)³
⇒ (-2)(-2)(-2)
⇒ (4)(-2)
⇒ -8
3)
⇒ (-3)⁴
⇒ (-3)(-3)(-3)(-3)
⇒ (9)(9)
⇒ 81
4)
⇒ (-1)⁵
⇒ (-1)(-1)(-1)(-1)(-1)
⇒ -1
What is slope intercept form?
Question 8 options:
x = ym + b form of a linear equation
y= mx + b form of a linear equation
m = x form of a linear equation
b= m + y form of a linear equation
Find the value of x.*
20
48
36
60
Answer: 48
Step-by-step explanation:
I need help finding the value of this figurehead
Answer:
See below, please
Step-by-step explanation:
Volume
[tex] = (x + 12) \times (x + 3) \times 2x[/tex]
[tex] = ( {x}^{2} + 15x + 36) \times 2x[/tex]
[tex] = 2 {x}^{3} + 30 {x}^{2} + 72x[/tex]
Write one hundred ten million in expanded notation using exponents.
Answer:
1.10 x 108.
Step-by-step explanation:
The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explain why the relationship between the cost per person varies inversely with the number of persons sharing the cost. Then write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee.
Answer:
1. The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.
2. c = 1500 / p
Step-by-step explanation:
1. Lets look at the cost comparison per number of tenants.
1 person = $1500 per person
2 people = $750 per person
3 people = $500 per person
As you see, as the number of people increase, the cost per person decreases.
2. If you are splitting the cost, then you are dividing equally.
The rent is divided between the number of people
1500 / p
c = 1500 / p
Answer:
1. The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.
2. c = 1500 / p
Step-by-step explanation:
1. Lets look at the cost comparison per number of tenants.
1 person = $1500 per person
2 people = $750 per person
3 people = $500 per person
As you see, as the number of people increase, the cost per person decreases.
2. If you are splitting the cost, then you are dividing equally.
The rent is divided between the number of people
1500 / p
c = 1500 / p
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What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
395.64 sq. mm
hope it helps...!!!
Hi please help with an explanation as well, I’ll reward branliest
Answer:
Perimeter of base: 40 :)
10 + 10 + 10 + 10 = 40
Slant height: 13
(it gives us this information) :)
Area of base: 100
10^2 = 100
Surface area: 65000
(1/2)(100 x 13)
1/2(1300)
650
Have an amazing day!!
Please rate and mark brainliest!!!
Answer and Explanation:
1) The perimeter is the sum of the base's side lengths, so it is:
P = 10 ft * 4 = 40 ft
2) The height can be calculated using the Pythagorean Theorem. Take half of the base's side length for the short leg (5 ft) and the slant height (13 ft) for the hyptenuse:
5^2 + h^2 = 13^2
25 + h^2 = 169
h^2 = 144
h = 12 ft
3) To find the lateral area, take the area of one of the triangular faces of the pyramid and multiply it by 4, since there are 4 triangular faces:
LA = 4 * (1/2)(10 * 13)
= 4 * 65
= 260 ft
4) The area of the base is the product of its dimensions:
A(base) = 10 * 10
= 100 ft^2
5) Surface area is the sum of the lateral area and the base's area, so just plug in the values from problems 3 and 4:
SA = LA + A(base)
= 260 + 100
= 360 ft^2