Answer:
RSVUT IS THE CORRECT ANSWER
Given k > 3 and
( +
2x+2) dx = 10k
show that k3 – 10k2 + ak + b = 0
where a and bare constants to be found.
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\displaystyle \int_3^k\left(2x+\frac{6}{x^2}\right)\, dx = 10k, k>3[/tex]
And we want to show that:
[tex]k^3-10k^2+ak+b=0[/tex]
Integrate the definite integral:
[tex]\displaystyle x^2-\frac{6}{x}\Big|_{3}^{k}=10k[/tex]
Evaluate:
[tex]\displaystyle \left(k^2-\frac{6}{k}\right)-((9)-(2))\right)=10k[/tex]
Simplify:
[tex]\displaystyle k^2-\frac{6}{k}-7=10k[/tex]
Multiply both sides by k:
[tex]k^3-6-7k=10k^2[/tex]
Rewrite:
[tex]k^3-10k^2-7k-6=0[/tex]
Hence, a = -7 and b = -6.
ASAP
-WILL MARK BRIANIST
Answer:
part A: 83-8=75
part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!
Step-by-step explanation:
∠A and angle ∠B are vertical angles. If m∠ A=(2x-4) and ∠B = (x+1), then find the value of x
Answer:
x = 5
Step-by-step explanation:
vertical angles are equal so we can write this equation:
2x-4 = x+1
x - 4 = 1
x = 5
what is the sum of the first 6 odd numbers?
A. 26
B. 36
C. 32
D. 42
PLEASE HELP ( 10 PIONTS & FRIEND) :)
3. At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is taken.
What is the probability that 3 of those chips are defective?
.
Answer:
Probability of three chip being defective is 0.012
Step-by-step explanation:
Probability of a computer chip being defective is 0.08 or 8%
Total random sample = 20
Probability of three chip being defective = 3/20 * 0.08
= 0.012
Answer:
B) 0.14
Step-by-step explanation:
N=20
K=3
P=0.08
CoE= 1140
1140 x (0.08)^3 x (.92)^17
1140 x (0.000512) x (0.2423) = 0.141425 or B
Maria put 18 crayons in 3 different baskets. She put the number of crayons in each basket.
How many crayons did Maria put in each basket?
Answer:
There are 18 crayons, and 3 baskets. Each basket has the same number of crayons. Therefore, we divide 18 into 3 different groups (each group = each basket). So, we have 18 ÷ 3, which is 6.
So, there are 6 crayons in each basket.
Answer:
6
Step-by-step explanation:
Greatest common factor of 8,56
Answer:
Propiedades del MCM de 8 y 56
Resumiendo, el mcm de 8 y 56 es 56. Se escribe como: mcm (8,56) = 56
Step-by-step explanation:
Lara charges $12 per hour for babysitting. If f represents Lara's total fee after babysitting for h hours, which answer choice shows two correct equations that could be used to model the problem?
A: f=112handh=12f
B: h=112fandf=12h
C: f=h+12andh=f−12
D: h=f+12andf=h−12
Answer:
Can't really read that but these would work
f = 12h
h = f/12
Step-by-step explanation:
would it be B or C? help me please :(
Answer:
2x^2
Step-by-step explanation:
2x+x
3x
x(2+1)
2x+x
3x
2x^2(no equivalent to other option)
3x
On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Answer:
Step-by-step explanation:
Sp of an article= Rs 2300
profit%=15%
let Cost Price of an article be X
SP=CP+PROFIT %*CP
2300=X+15/100*X
2300=100X+15X/100
2300*100=115X
230000/115=X
2000=X
Therefore cost price of an article is Rs 2000.
rite 4 and 5 as a percentage
Answer:
4/5 as a percentage is 80%
if you want to write 4 and 5 as a percentage . . .
You can't do that
Please help me, this is like the easiest thing but I'm stuck
Answer: A. 384 sq. mm
Step-by-step explanation: The area for the square is 12x12 or 144. The area for a triangle is base x height x 1/2. Therefore, that would be 12 x 10 x 1/2 or 60. There are 4 sides to this pyramid, so 60 x 4 = 240. We then add 144 and 240 to get 384 sq. mm.
what is the local maximum over the interval [-3, 1.5] for the graphed function?
A) 0
B) 56
C) -11.4
D) 2
Answer:
56
Step-by-step explanation:
It's tempting to use the local maximum at the point (2, 0), but x = 2 is outside the interval given in the question!
Answer:
B) 56
Step-by-step explanation:
A researcher conducts an independent-measures, two-factor study with two levels of factor A and three levels of factor B, using a separate sample of n = 10 participants in each treatment condition. What are the df values for the F-ratio evaluating the main effect of factor A? (Hint: Enter in the degrees of freedom for the numerator first and the degrees of freedom for the denominator second.)
Answer:
(1, 36)
Step-by-step explanation:
Degrees of freedom for the F-test of the two way ANOVA
Here, we use a two factors, independent measures ANOVA, where, factor [tex]A[/tex] has 2 level and a factor [tex]B[/tex] also has 2 levels.
So, here,
[tex]$k_1$[/tex] = number of levels of A = 2
[tex]k_2[/tex] = number of levels of B = 2
And n = sample size in each treatment condition = 10
So we have,
[tex]d_1[/tex] = df of the main effect A = ([tex]$k_1$[/tex] - 1) = 2 - 1 = 1
[tex]d_2[/tex] = df of the main effect A = ([tex]$k_2$[/tex] - 1) = 2 - 1 = 1
[tex]d_3[/tex] = df of interaction effect (A x B) = ([tex]$k_1$[/tex] - 1)([tex]$k_2$[/tex] - 1)
= (2-1)(2-1)
= 1
And [tex]d_4[/tex] = df of within variation (i.e. error variation) = [tex]$k_1k_2(n-1)$[/tex]
= 2 x 2 x (10 - 1)
= 36
So, the df value for the F-ratio evaluating the main effect of factors-A is
= ([tex]d_1, d_4[/tex])
= (1, 36)
The sum of the measures of angle P and angle Q in 180°. The measure of angle P is (4x + 12)°. The measure of angle Q is (2x - 24)°. What is the value of x?
Answer:
32
Step-by-step explanation:
Given
m<P = 4x+12
m<Q = 2x-24
If the sum of P and Q is 180, then;
4x+ 12 + 2x - 24 = 180
4x+2x+12-24 = 180
6x - 12 = 180
6x = 180+12
6x = 192
x = 192/6
x = 32
Hence the value of x is 32
An SRS of 100 flights by Nite-flite Airlines showed that 64 were on time. An SRS of 100 flights by Waxwing Airlines showed that 80 were on time. Let pN be the proportion of on-time flights for all Niteflite Airline flights, and let pW be the proportion of all on-time flights for all Waxwing Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines
Answer:
Step-by-step explanation:
pN = 64/100 = 0,64 = 64%
pW = 80/100 = 0,8 = 80%
The planes of Waxwing airlines are more punctual
Help me with this below
Answer:
PlayStation = 175
Step-by-step explanation:
X box = x
PlayStation = x+15
X box + PlayStation = 335
x + x+15 = 335
Combine like terms
2x+15 = 335
Subtract 15
2x+15 -15 = 335-15
2x = 320
Divide by 2
2x/2=320/2
x =160
x box =160
PlayStation = x+15 = 160+15= 175
Answer:
Playstation costs 175 pounds
Step-by-step explanation:
335 = 15 + x + x
335 = 15 + 2x
335 - 15 = (15 - 15) + 2x
320 = 2x
320/2 = 2x/2
x = 160
CHECK WORK:
(15 + 160) + 160 = 335
(175) + 160 = 335
335 = 335
Which could be the missing data item for the given set of data if the median of the complete data set is 15?
11, 23, 12, 18, 11, 10, 19, 15, 19, 21, 13, 17, 24, 14
A: 16
B: 18
C: 20
D: 11
Answer:
A: 16
Step-by-step explanation:
its in between
b) 6a and 6b are having a competition to see who can make the most money for Red Crescent. 6a make $2 for every $3 that 6b make. If 6a makes $30 AED profit how much will 6b make?
Answer:
45
Step-by-step explanation:
6a 6b
2 / 3
30 / x
30×3 / 2
90/2
=45
PLEASE HELP ASAP WILL GIVE POINTS AND BRAINLIEST! TY BESTIES! Factor using GCF 20x^2+10x please show work
Answer:
10x(2x+1)
Step-by-step explanation:
20x^2+10x
2*10*x*x + 10 *x
Factor out the common terms
10x(2x+1)
You have a cooking triangle at your camp. It makes great
hot dogs on a camp fire. The triangle has an area of 14
square feet. The height is four feet. What is the length of the
base?
Answer:
7 square feet
Step-by-step explanation:
We know that area is (h*b / 2)
Therefore, we find b:
(14 * 2) / 4 = 7
Please give brainliest
Two searchlights on the shore of a lake are located 3020 yd apart. A ship in distress is spotted from each searchlight. The beam from the first searchlight makes an angle of 38 degrees with the baseline. The beam from the second light makes an angle of 57 degrees with the baseline. Find the ship's distance from each searchlight.
Answer:
x₁ = 1866.2 yd distance between ship and searchlight in C
x₂ = 2542.5 yd . distance between ship and searchlight in B
Step-by-step explanation:
The ship (point A) and the two searchlights points ( B and C) shape a triangle.
We have α = 38° ( opposite side x₁ or distance between ship and point C and β = 57 ° ( opposite side x₂ or distance between ship and point B then γ = 180 - ( α + β )
γ = 85°
Applying sin´slaw
x₁ / sin 38 = x₂/ sin57 = 3020 / sin 85
from sin table we find:
sin 38 = 0.6156
sin 57 = 0.8387
sin 85 = 0.9962
Then
x₁ / 0.6156 = 3020 / 0.9962
x₁ ( the opposite side to angle 38° ) / 0.6156 = 3031.5
x₁ = 3031.5*0.6156
x₁ = 1866.2 yd
x₂ = 3031.5 * 0.8387
x₂ = 2542.5 yd
Which number is greater than 555,621,000?
A. 5.0 x 10
B. 6.2 x 10
C. 5.55621 x 10
D. 9.99 x 10
Answer:
D
Step-by-step explanation:
im smart.
Austin is baking a pie in a pan that has a diameter of 8 inches. He wants to cover the top of the pie with a pie crust. What is the area of the crust that will cover the top of the pie?
The area of the crust that will cover the top of the pie is 50.24 square inches.
What is a circle?
A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The baking pan is in the shape of a circle.
The diameter of a baking pan = 8 inches
So, the radius of a baking pan,r = [tex]\frac{diameter}{2}[/tex]
⇒ [tex]r=\frac{8}{2}[/tex]
⇒ [tex]r=4[/tex]
The area of the crust that will cover the top of the pie is
[tex]A=\pi r^{2}[/tex]
we know that the value of π is 3.14.
On substitute the above values,
⇒ [tex]A=(3.14)(4)^{2}[/tex]
⇒ [tex]A=(3.14)(16)[/tex]
⇒ [tex]A=50.24[/tex]
Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.
Learn more about circles here
https://brainly.com/question/16125353
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find the zeros the polynomial fx=2x^2 +9x-5
Answer:
The zeros the polynomial :
X=(1/2 , –5)
a sequence of transformation is applied to a polygon. Select all statements which indicate a sequence of transformations where the resulting a polygon has an area greater than the original polygon.
A. Translate even units left, rotate 90 degrees clockwise about the origin.
B. Reflect over the x-axis, dilate about the origin by a scale factor of 1/2 translate up 5 unit.
C. Rotate 90 degrees counterclockwise around the origin, dilate about the origin by a scale factor of 3/2
D. Dilate about the origin by a scale factor of 2/3. rotate 180 degrees clockwise around the origin, translate down 2 units.
E. Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3
Answer:
than originally shared this meeting will
He sum of two numbers is negative twelve, and one number is five less than the other. Using the variables mm and nn to represent the two numbers, write a system of equations that describe the situation. Enter the equations below, separated by a comma.
Answer:
mm + nn = -12
mm - nn = 5
Step-by-step explanation:
two equations can be derived from the question
Complete the square for the function y = x2 + 6x +7. Which features are correctly stated?
A)
Axis of symmetry at x = -2
B)
Minimum = -2 at x = -3
Vertex form: (x + 3)2 - 2
D)
Zero at x = = √2-3
E)
Zero at x = 3-VE
Answer:
B and C
Step-by-step explanation:
The square for the function; [tex]y = x^2 + 6x +7[/tex] . Hence, the Vertex form of the function is [tex](x + 3)^2 - 2[/tex]. The function will be zero at x = 3- √E
What is a system of equations?A system of equations is two or more equations that can be solved to
get a unique solution. the power of the equation must be in one degree.
The square for the function;
[tex]y = x^2 + 6x +7[/tex]
Minimum = -2 at x = -3
Hence, the Vertex form of the function is [tex](x + 3)^2 - 2[/tex].
The function will be zero at x = 3- √E
Learn more about equations;
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10 A triangular prism and its dimensions are shown in the diagram.
5 cm
5 cm
8 cm
6 cm
What is the lateral surface area of this triangular prism in square centimeters?
The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?
Answer:
54461.33 cubic feet
Step-by-step explanation:
Given data
Height of cylinder= 40 feet
Radius= 20feet
Height of cone= 10 feet
Radius of cone= 20feet
Volume of Cylinder= πr^2h
Volume of Cylinder= 3.142*20^2*40
Volume of Cylinder= 3.142*400*40
Volume of Cylinder= 50272 cubic feet
Volume of Cone= 1/3πr^2h
Volume of Cylinder= 1/3*3.142*20^2*10
Volume of Cylinder= 1/3*3.142*400*10
Volume of Cylinder= 1/3*12568
Volume of Cylinder=4189.33 cubic feet
Hence, the volume of the silo = volume of cylinder+ volume of cone
Volume of silo= 50272+4189.33
Volume of silo=54461.33 cubic feet