Answer: 94.5
Step-by-step explanation:
Given
Function is [tex]f(x)=3x[/tex] and the boundary is [tex]x=1\ \text{to}\ x=8[/tex]
Integrating the function
[tex]\Rightarrow I=\int_{1}^{8}f(x)dx\\\\\Rightarrow I=\int_{1}^{8}3xdx\\\\\Rightarrow I=\left ( \frac{3x^2}{2} \right )_1^8\\\Rightarrow I=1.5(8^2-1^2)=1.5(64-1)\\\Rightarrow I=94.5[/tex]
The value of integral is 94.5
Factor.
11x2+35x+6
Enter your answer in the box.
Answer:
[tex]\displaystyle [x + 3][11x + 2][/tex]
Step-by-step explanation:
[tex]\displaystyle 11x^2 + 35x + 6 \\ [11x^2 + 2x] + [33x + 6] \\ x[11x + 2]\:\:\:\:\:3[11x + 2] \\ \\ \boxed{[x + 3][11x + 2]}[/tex]
I am joyous to assist you at any time.
Answer: i took the test
Step-by-step explanation:
Tell whether the line or segment is the best described as a chord,a diameterdiameter,or a raduis of a circle
Answer:
37
Step-by-step explanation:
explain why conductivity is a good measure of the salinity of water?
Answer:
Salinity and conductivity measure the water's ability to conduct electricity, which provides a measure of what is dissolved in water. In the SWMP data, a higher conductivity value indicates that there are more chemicals dissolved in the water.
Step-by-step explanation:
Please also include an explanation, I'd appreciate it :-)
Answer:
[tex]30ft[/tex]
Step-by-step explanation:
So, since the scale is 1:5, 1 ft is actually 5 feet.
[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]
Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v
Answer:
180
Step-by-step explanation:
This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.
There are two ways to solve
1. [tex]\frac{150*120}{100}[/tex]
2. [tex]120+\frac{120\\}{2}[/tex]
To do the first one:
1. Multiply the values in the numerator
18000/100
2. Divide
180
To do the second one:
1. Divide the fraction
120 + 60
2. Add
180
Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?
1
5
11
13
Answer:
5
Step-by-step explanation:
17 dogs total all counted up.
17- 5 = 12
5 could have ran away
hope i could help! i tried my best, have a nice day!
Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M. Explain how you know that the tour was more than 30 minutes.
Answer: See explanation
Step-by-step explanation:
Since Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M, the time taken during the tour will be:
= 2.45 pm - 2.05pm
= 40 minutes.
Since Tim's family toured the Astronaut Hall of Fame for 40 minutes, this shows that they spent more than 30 minutes during the tour.
which of the following is (-5x + 4)-(3x^2-7x+4) simplified and written in standard form?
Answer:
jhgsdfgtyhujwert
Step-by-step explanation:
Diego wants to sell his bicycle. It cost $150 when he bought it but has depreciated by 15%. How much should he sell it for?
Answer:
$127.50
Step-by-step explanation:
15/100 = 0.15
0.15 x 150 = 22.5
150 - 22.5 = 127.5
Please help links=report and if correct I’ll mark you brainiest
Answer:
A is the correct answer.
Hope this helps [tex]\mathtt{: )}[/tex]
help me please i'll make you brainiest
Answer:
1: 7 4/5 2: 5 1/2 3: 17 13/15
Step-by-step explanation:
if y=27 when x= 8 find y when x =11
Answer:
37 1/8
Step-by-step explanation:
The problem probably assumes direct variation
y=kx
IF so, then plug in the values and solve for k
27=k(8)
k = 27/8
y= (27/8)x. Now let x = 11
y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8
y = 37 1/8
the problem is making some assumption about the relation between x and y. The simplest assumption that's likely is direct variation, that x and y are linearly related. The graph is a straight line through the origin with slope = 27/8
There are _ total possible outcomes.
Answer:
20 possible outcomes
Step-by-step explanation:
What is the value of in the solution of the
system of equations 3x + 2y = 12 and 5x – 2y = 4?
Answer:
x = 2
y = 3
Step-by-step explanation:
add the 2 together and the y-values drop out and you are left with:
8x = 16
x = 2
3(2) + 2y = 12
2y = 6
y = 3
Look at the equation below.
77 +9y = 4
What is the value of y?
4 -9
B -8.1
с 9
D 21.5
Guys pls help me!!!!
Answer: D
Step-by-step explanation:
There is no points I plotted them on a graph and they don't intercept on the graph
find the solution please
Simplify (4a^m+3)^3*(1/16a^1-m)^2
The simplified answer is 27m^2
The simplification of the given expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
To simplify the expression, let's start by expanding each term and then combining like terms:
Expand the first term (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = (4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)
Using the binomial expansion formula for (a + b)³
(a + b)³ = a³ + 3a²b + 3ab² + b³
So, for (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = 4³ × ([tex]a^m[/tex] )³ + 3 ×4² [tex]a^m[/tex] ([tex]a^m[/tex] )²× 3 + 3 × 4× ([tex]a^m[/tex] ) × 3² + 3³
= 64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex] + 108[tex]a^m[/tex] + 27
Expand the second term (1/16[tex]a^{(1-m)[/tex])²
(1/16[tex]a^{(1-m)[/tex])² = (1/16[tex]a^{(1-m)[/tex]) (1/16[tex]a^{(1-m)[/tex])
Simplify the square of a fraction by squaring the numerator and denominator separately:
(1/16[tex]a^{(1-m)[/tex])² = (1²)/(16²) × ([tex]a^{(1-m)[/tex])²
= 1/(256) × [tex]a^{(2(1-m))[/tex]
=[tex]a^{(2-2m)[/tex]/256
Now, let's multiply both simplified terms:
(4[tex]a^m[/tex] + 3)³ ×(1/16[tex]a^{(1-m)[/tex])²
= (64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex]+ 108[tex]a^m[/tex]+ 27) ([tex]a^{(2-2m)[/tex]/256)
Now, combine the terms with similar exponents:
= (64[tex]a^{(3m)[/tex] [tex]a^{(2-2m)[/tex] + 144[tex]a^{(2m)[/tex] [tex]a^{(2-2m)[/tex]+ 108[tex]a^m[/tex] [tex]a^{(2-2m)[/tex] + 27 × [tex]a^{(2-2m)[/tex])/256
Using the property [tex]a^m \times a^n = a^{(m+n):[/tex]
= (64[tex]a^{(3m + 2 - 2m)[/tex]+ 144[tex]a^{(2m + 2 - 2m)[/tex] + 108[tex]a^{(m + 2 - 2m)[/tex]+ 27[tex]a^{(2-2m)[/tex])/256
Simplify the exponents,
= (64a² + 144a² + 108a² + 27[tex]a^{(2-2m)[/tex])/256
Now, combine the like terms:
= (336a² + 27[tex]a^{(2-2m)[/tex])/256
Therefore, the simplified expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
Learn more about simplification here
brainly.com/question/2804192
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Do these three sides make a triangle? Is it unique? 12 ft, 24 ft, and 30ft
A.Yes, it is a triangle and it is unique.
B.Yes, it is a triangle, but it is not unique.
C. No, it does not make a triangle.
Answer:
A. Yes, it is a triangle and it is unique
Step-by-step explanation:
Those side measurements make a scalene triangle.Triangles with no two equal sides or congruent angles are called scalene triangles. In scalene triangles, each angle and side is completely unique.
how is 0.6 is greater than the value of 0.39
Factoring tinomials
3) 3n^2-8n+4
5) 2y^2+11v+5
7) 7a^2+53a+28
Do all please
PLEASE HELP FAST
Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c
Answer:
c=81
Step-by-step explanation:
Take half of b: 18/2=9
Square the result: 9²=81
This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:
x²+18x+81=25+81
x²+18x+81=106
(x+9)^2=106 <-- Final simplification
(x+9
Answer:
c=81
Step-by-step explanation:
pls give me banliest
How many words does Rachel type per minute
there is no problemStep-by-step explanation:
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
rewrite the function f(x)=2(x-2)^2-5 and in the form ax^2+bx+c
Answer:
Step-by-step explanation:
f(x)=2(x-2)²-5
f(x)=2(x²-4x+4)-5
f(x)=2x²-8x+3
What is SRV? plssssssssssssssssssss help
The Measurement of SRV is 120°
Help with right Awnser
Answer:
Solution given:
base[b]=8m
perpendicular [p]=3m
we have
area of triangle=[tex] \frac{p \times b}{2} [/tex]
=[tex] \frac{3 \times 8}{2} [/tex]=12m²
is your answer
Answer:
12m2
Step-by-step explanation:
1/Secx-tanx -1/secs+tanx
Need help really bad
It’s the second one
Answer:
Explanation down
Step-by-step explanation:
Which number on the number line represents the OPPOSITE of -7/2? Select a place on the number line to plot the point.
Answer:
the answer would be 3 1/2
Step-by-step explanation:
if you simplify -7/2 it would be -3 1/2, and the opposite of -3 1/2 is 3 1/2. And from 0-3 there are 6 spaces, so every two spaces counts as 1. Therefore the point would go one spot after positive 3.
slope = - 2/5; y-intercept = 0
HELP!!!!!!!!!!!
Answer:
To form the equation, it would y = -2/5x
Step-by-step explanation: