Step-by-step explanation:
69 bc it is the difference between the largest number and the smallest number
If f(x) = 3x - 1 and g(x) = x + 2 , find (f + g)(x)
Answer:
Answer:4x + 1
Step-by-step explanation:
(f + g)(x)=(3x - 1)+(x + 2)
=3x + x - 1 + 2
=4x + 1
To the nearest thousandth, what is the area of the region bounded by y = ex and x = (y-1)²? 0.089 O 1.188 2.880 4.265
The area bounded by the curves will be 0.089. Then the correct option is A.
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The functions are given below.
y₁ = eˣ ....1
x = (y - 1)² ...2
Then equation 2 can be written as
y₂ = √x + 1
The intersection point of the curves will be
eˣ = √x + 1
BY solving, the value of x will be
x = 0, 0.558
Then the area bounded by the curves will be
[tex]\rm A = \int _0^{0.558} (y_2 - y_1) dx\\\\\\A = \int _0^{0.558} (\sqrt{x} + 1 - e^x )dx\\\\\\A = \left [\dfrac{x^{3/2}}{3/2} + x - e^x \right]_0^{0.558} \\\\\\A = \left [\left (\dfrac{0.558^{3/2}}{3/2} + 0.558 - e^{0.558} \right ) - \left ( \dfrac{0^{3/2}}{3/2} + 0 - e^0 \right) \right]\\[/tex]
On further solving we have
A = -0.911 + 1
A = 0.0887
A ≅ 0.089
Then the correct option is A.
More about the area bounded by the curve link is given below.
https://brainly.com/question/24563834
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The formula for the area of a triangle is, where b is the length of the base and h is the height.
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
Answer: The formula for area of a triangle is area equals base times height divided by 2. the height is 5 units.
Step-by-step explanation:
Please help, thank you! Image below
Answer:
The diameter divides a circle into fourths. (False)
The diameter is twice the length of the radius. (True)
The diameter is the distance around the circle. (True)
The diameter is a chord. (True)
The diameter passes through the center of a circle. (True)
The diameter is about three times larger that the circumference. (I don't really know this from the top of my head. Sorry!
Step-by-step explanation:
Hope this helps!
From your neighborhood softie. :)
Hello, help me please)
Answer:
Given equation:
[tex]10^{5x-2}=2^{8x-3}[/tex]
Take natural logs of both sides:
[tex]\implies \ln 10^{5x-2}= \ln 2^{8x-3}[/tex]
[tex]\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax[/tex]
[tex]\implies (5x-2)\ln 10=(8x-3) \ln 2[/tex]
Expand brackets:
[tex]\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2[/tex]
Collect like terms:
[tex]\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2[/tex]
Factor left sides:
[tex]\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2[/tex]
[tex]\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax[/tex]
[tex]\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3[/tex]
[tex]\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay[/tex]
[tex]\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)[/tex]
Simplify:
[tex]\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)[/tex]
[tex]\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}[/tex]
[tex]\implies x=0.4232297737...[/tex]
50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half
Answer: 2
Step-by-step explanation:
See attached image
How do you write 415,000 in scientific notation
Answer:
4.15×10⁵
10⁵=100,000
4.15×100,000=415,000
Answer:
4.15 * 10^5.
Step-by-step explanation:
There are 5 digits after the initial digit(4).
So it is:
4.15 * 10^5
In the "Depositions for the Boston Massacre Trials," who does Captain Thomas Preston blame for the massacre?
A. Himself
B. the Citizens
C. The Soldiers
D. God
Answer:
B. The citizens
Step-by-step explanation:
When captain Preston said fire he blame the citizens for foreign saying they were harassing the soldiers
Hope this helps! ;-)
(a)
Part A
Moira collected some stones at the beach. Now she wants to make a clear plastic container to display the sto
a stones. To plan the container Moura decides that she must find the volume
the stones
Moira has an aquarium that is shaped like a rectangular prism. It is 8 inches wide, 16 inches long and 10 inches high She plans to use the aquarium to find the value of the room
First, Moira pours some water Then Moira puts the stones in
into the aquarium. She
the aquarium. She measures
measures and finds that the and finds that the water
water reaches to a
reaches to a new height of
height of 4 inches.
7 inches
7 in
Bin
4 in
10 in.
10 in
8 in
16 in.
Using this information, find the volume of the stones. Show your work
The volume of the stones will be 384 inch³.he volume of the stone is found by subtracting the volume before stones and the volume after stones in the container.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic inch.
Volume before the stones are put in the container is;
[tex]\rm V_1 = L bh \\\\ V_1= 4 \times 16 \times 8 \\\\ V_1= 512 \ inch^3[/tex]
The volume after the stones are put in the container is;
[tex]\rm V_2= 7 \times 16 \times 8 \\\\\ V_2= 896 \ inch^3 \\\\[/tex]
The volume of the stone is found by subtracting the volume before stones and the volume after stones;
[tex]\rm V = V_2-V_1 \\\\\ V=896-512 \\\\ V_2= 384 \ inch^3[/tex]
Hence,the volume of the stones will be 384 inch³.
To learn more about the volume, refer to the link;
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Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:
A histogram is shown with title Recycle Drive Collection. On the horizontal axis the title is Number of bottles. The title on the vertical axis is Students. The range on the horizontal axis is 0 to 3, 4 to 7, and 8 to 11. The values on the vertical axis are from 0 to 10 at intervals of 1. The bar for the first range is till 3, the bar for the second range is till 6, the bar for the third range is till 1.
Which information is not provided in the histogram?
The total number of students who collected bottles
The number of students who collected exactly 9 bottles
The number of students who collected 3 or fewer bottles
The total number of students who collected 7 or fewer bottles
*will Mark Brainliest*
Answer:
I'm very sure it is B. The number of students who collected exactly 9 bottles.
Step-by-step explanation:
A is wrong because it does show the total amount of students.
C is wrong because it does show the amount of students that collected 3 or fewer bottles.
D is wrong because it does show the total number of students who collected 7 or fewer bottles.
So, B would be the only correct answers. Hope I helped!! Pls mark brainliest if I did help.
Answer:
The answer your looking for would be B. "The number of students who collected exactly 9 bottles"
Step-by-step explanation:
I took the FLVS test.
Solve each equation and check your answer.
1. 2 x + 4 ( 3 − 2 x ) = 3 ( 2 x + 2 ) 6 + 4
2. 4 z + 5 = - 3 z − 8
3. 1 2 − 1 8 q = q − 1 4
Please answer correctly, will choose brainliest.
evaluate 1/4c + 3d when c = 6 and d = 7
please don't just give me the answer, explainnn because i don't know how to do this
Answer:
22 1/2
Step-by-step explanation:
1/4×6=1 1/2
3×7=21
21+1 1/2=22 1/2
Answer as a decimal = 22.5
Answer as a fraction = 45/2
===========================================================
Explanation:
Replace c with 6, and replace d with 7.
Then use the order of operations (PEMDAS) to simplify until you get a single number.
[tex]\frac{1}{4}c + 3d\\\\\frac{1}{4}(6) + 3(7)\\\\\frac{6}{4} + 21\\\\1.5 + 21\\\\22.5\\\\[/tex]
If you want to convert this to an improper fraction, then,
[tex]22.5 = 22 + 0.5\\\\22.5 = 22 + \frac{1}{2}\\\\22.5 = 22*\frac{2}{2} + \frac{1}{2}\\\\22.5 = \frac{44}{2} + \frac{1}{2}\\\\22.5 = \frac{44+1}{2}\\\\22.5 = \frac{45}{2}\\\\[/tex]
round 18.159 to the nearest tenth
Answer:
18.2
Step-by-step explanation:
A tenth is the first decimal, on the right of your unit. 5 to the sky (round up) 4 to the floor (round down)
18.159
To find:The nearest tenth of 18.159
Solution:First value right to the decimal place is tenths place. If the value given in hundredths place is 5 or more round up, if not keep it as it is.
So here the value in hundredths place is 5, so we'll have to add 1 to the tenths place.
18.159
= 18.2 ( nearest tenth )
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X=3), n=8, p=0.2
Answer:
P(X = 3) = 0.14680064
Step-by-step explanation:
Formula=============================
[tex]p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}[/tex]
……………………………………………………………………..
Given :
n = 8
p = 0.2
1 - p = 1 - 0.2 = 0.8
k = 3
Then
[tex]p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}[/tex]
[tex]=0.14680064[/tex]
Add this fractions. (It should be mixed number)
−5/6 + (−2 5/8)
Answer:
the awnser is -3 11/24
Step-by-step explanation:
Don't know
-2 5/7
Yan po answer ko inadd ko po by fraction
Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.
The diagram is not drawn to scale. < AOC=
Answer:
∠ AOC = 124°
Step-by-step explanation:
the 3 angles lie on a straight line and sum to 180°
sum the 3 angles and equate to 180
3x + 94 + x + 30 + 2x - 4 = 180
6x + 120 = 180 ( subtract 120 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
Then
∠ AOC = 3x + 94 = 3(10) + 94 = 30 + 94 = 124°
2. Martin read for a total of 150 minutes last week. He read the same amount of time each day for 6 days. Which equation shows, n, the number of minutes Martin read each day? 150 minutes in all n minutes read each day A 150 x 6-n B 150+6=n 150-6-n D 150+6=n
Answer:
n = 150/6
or
n = 25
Step-by-step explanation:
Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.
Therefore, n = 150 / 6
If you make the division n = 25
5) Mary is taking a swimming lesson on a rectangular pool which is 9 meters wide and 12 meters long. Find the area of the swimming pool.
a. What is asked?
b. What are given?
c. What is/are the operation/s to be used?
d. What is the number sentence?
e. What is the answer?
Rewrite the following expression with no exponent.
Answer:
49/9
Step-by-step explanation:
[tex](3/7)^-2=((37)^2)^-1=(3^2/7^22)^-1=(9/49)^-1=49/9[/tex]
I hope this helps!
Help me solve this question
-2 1/3 - ( - 5) = ?
Answer:
2 2/3
Step-by-step explanation:
-2 1/3 - ( - 5)
We are subtracting a negative which is like adding
-2 1/3 + ( 5)
The signs are different so we subtract and take the sign of the larger
5 - 2 1/3
Borr from the 5
4 3/3 - 2 1/3
2 2/3
The sign of the larger was positive so the answer is positive
2 2/3
Help the pic has questions
Answer:
a) [tex]x = 9[/tex]
b) [tex]m \angle 1 = m \angle 2 = 54^\circ[/tex]
Step-by-step explanation:
Since [tex]r\ ||\ s[/tex], through the Alternate Angle Theorem, [tex]m \angle 1 = m \angle 2[/tex]. We can solve for x by setting up an equation where both angles are equal to each other:
[tex]m \angle 1 = m \angle 2\\63-x = 72-2x\\63 +x = 72\\x = 9[/tex]
Now plug in x for both of the formulas to get their angles:
[tex]m \angle 1 = (63 - x)^\circ = (63-9)^\circ = 54^\circ[/tex][tex]m \angle 2 = (72-2x)^\circ = (72-2(9))^\circ = (72-18)^\circ = 54^\circ[/tex]
Select the correct answer.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
A. There is exactly one solution.
B. There is no solution.
C. There are infinitely many solutions.
D. The lines in a system cannot graph as the same line.
Answer:
c! :))
Step-by-step explanation:
i cant exactly remember how to explain it step by step, but all i remember is that i took a similar test not too long ago that had the same question!
Answer:
C. There are infinetly many solutions.
Step-by-step explanation:
A system of linear equations has infinite solutions when the graphs are the exact same line.
Increase £180 by 25%
please thank you so much!!!
Answer:
£225
Step-by-step explanation:
[For percentage increase, add the percentage with 100, for percentage decreases substract the percentage from 100.]
100 + 25 = 125%
[tex]\frac{125}{100}[/tex] × 180 = £225
Spinner A and Spinner B below are each to be spun once.
If the pointer CANNOT land on a line, how many different outcomes of a number and a color are possible?
18
12
9
6
Answer:
9
Step-by-step explanation:
Spinner A = 6 outcomesSpinner B = 3 outcomes6 + 3 = 9Francis works and earns $3437 dollars but on a pay stub pays 42% to tax. What is the sales Tax?
Multiply:
3437 x 42%
3437 x 0.42 = 1443.54
answer: $1443.54
caculate the area of this triangle
Answer: 99 cm²
Step-by-step explanation:
The area of a triangle can be found with [tex]a=\frac{b*h}{2}[/tex] so we will plug in the given values and solve.
[tex]\displaystyle a=\frac{b*h}{2}[/tex]
[tex]\displaystyle a=\frac{(18 cm)(11cm)}{2}[/tex]
[tex]\displaystyle a=\frac{198\;cm^2}{2}[/tex]
[tex]\displaystyle a= 99\;cm^2[/tex]
Grade geo
Practice 7.3
Answer:
Nice to hear that, congrats with practice 7.3
Answer:
WHAT ARE WE SUPPOSE TO ANSWER...?
The total debt to total assets of lans landscaping was 0.51. The total of lan assets was $234,00. What the amount of total debt?
The total amount of debt is $119,340.
What is the amount of total debt?The total debt to total assets ratio is a financial ratio. It is the ratio of total debt to total asset. It also known as the total debt ratio
Total debt ratio = total debt / total asset
total debt = value of the ratio x value of the assets
0.51 x $234,000 = $119,340
To learn more about financial ratios, please check: https://brainly.com/question/26092288
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Need Help ASAP
y = 2x − 5
y = -6x + 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.
Part B: Check your work. Verify your solution and show your work.
Part C: If the two equations are graphed, what does your solution mean?
Put y 's value in second equation
2x-5=-6x+32x+6x=3+58x=8x=1And
y=2(1)-5=-3Solution is (1,-3)
Verification
-3=2(1)-5-3=2-5-3=-3Verified
Let U=(1,2,3,4,5,6,7,8,9,10) Let A = {2,4,6,8,10}. Let B=(1,3,4,6,9} Determine (A - B)'.
A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.
Since A ∩ B = {4, 6}, we have
A - B = {2, 8, 10}
Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.
(A - B)' = {1, 3, 4, 5, 6, 7, 9}
