I need help with this math problem please
Answer:
C) 3(x+7)²
Step-by-step explanation:
Answer:
A) (3x + 21)(x + 7)
Step-by-step explanation:
If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...
[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]
Therefore the answer is A)
Help please thank you very much
Answer: [tex]2\sqrt{7}[/tex]
When writing this on a keyboard, you would say 2*sqrt(7)
========================================================
Explanation:
The formula we'll use is
A = 0.5*p*q*sin(R)
where R is the angle between sides p and q.
The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.
Plug in the given values and simplify to get the following
A = 0.5*p*q*sin(R)
A = 0.5*(x+4)*x*sin(60)
A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle
A = 0.25*(x^2+4x)*sqrt(3)
A = (0.25x^2+x)*sqrt(3)
Set this equal to the given area of A = sqrt(27) and solve for x
A = (0.25x^2+x)*sqrt(3)
(0.25x^2+x)*sqrt(3) = A
(0.25x^2+x)*sqrt(3) = sqrt(27)
(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom
0.25x^2+x = 3
(1/4)x^2+x = 3
x^2+4x = 12 .... see note2 at the very bottom
x^2+4x-12 = 0
(x+6)(x-2) = 0
x+6 = 0 or x-2 = 0
x = -6 or x = 2
A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.
Since x = 2, this means we have the following side lengths so far
p = RQ = x+4 = 2+4 = 6q = PR = x = 2Now apply the law of cosines to find the missing side.
r^2 = p^2 + q^2 - 2*p*q*cos(R)
r^2 = 6^2 + 2^2 - 2*6*2*cos(60)
r^2 = 36 + 4 - 24*1/2
r^2 = 40 - 12
r^2 = 28
r = sqrt(28)
r = sqrt(4*7)
r = 2*sqrt(7)
Side PQ is exactly 2*sqrt(7) units long
This approximates to 2*sqrt(7) = 5.2915
------------------------------------
Footnotes:
Note1: sqrt(27) = sqrt(9*3) = sqrt(9)*sqrt(3) = 3*sqrt(3)Note2: I multiplied both sides by 4 to clear out the fractionWhat is cos 60°?
60
2
90
30*
V5
O A
A.
B.
15
och
D. 2
E. 1
2
O F 3
The value of cos 60 is 1/2 from the given triangle, Option E is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Let the given triangle is ABC.
AB=1, BC=√3 and AC = 2.
We have to find the value of cos 60 degrees.
We know that cos function is a ratio of adjacent side and hypotenuse.
cos 60 = Opposite side/ Hypotenuse
=AB/AC
Plug in the value of AB and AC.
cos 60 =1/2
Hence, the value of cos 60 is 1/2 from the given triangle, Option E is correct.
To learn more on trigonometry click:
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anyone could help a little?
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Answer:
a) 100
b) 15 miles
Step-by-step explanation:
Each small square on the graph represents 1 person.
a) To the right of distance = 30 miles, there are 4 groups of 25 small squares, so 100 people travel 30+ miles.
__
b) To the right of distance = 15, there are (11 +6×5)×5 = 205 small squares. That is 205 people travel more than 15 miles to work. Sam may travel about 15 miles to work.
Hurry which one
A. 112
B. 282
C. 315
D. 456
Answer:
It is B.282
Step-by-step explanation:
use "Calculator Soup"
https://www.calculatorsoup.com/calculators/geometry-solids/surfacearea.php
Question 22 of 25
Which of the following is most likely the next step in the series?
Answer:
B
Step-by-step explanation:
A bakery offers a sale price of $2.80 for 6 muffins. What is the price per dozen?
The price per dozen muffins is
Answer:
$5.60 or 5.52
Step-by-step explanation:
Step one multiply 2 to 2.80 (Since 6 muffins cost $2.80, a dozen should be 6 times 2. Because a dozen is 12, so half of a dozen is 6, and multiply half by 2 and, you will get the answer.)
[tex]2 \times 2.80 = 5.60[/tex]
What is 7% of 300 pounds
Answer:
21
Step-by-step explanation:
Of means multiply
7% * 300
Change to decimal form
.07 * 300
21
Jasmine recorded the number of minutes she spent doing homework each day during the months of March and April
The box plot shows her data for March
March
0
5
10
15
20
25
30
35
40
45
50
Time Spent Doing Homework (minutes)
Her data for April is given in the table
0 5 10 15
20 25 30 30 30
30 30 30 30
35 40 40 40 45
45 45 45 50 50 55 60 65 65 75
Select all true statements about the data
DA Jasmine spent more minutes doing homework during the month of April.
B
The mean value
greater for the month of April
C. The median value is greater for the month of April
D. Based on the interquartile range, there is greater variability for the month of April
Answer:
Option A,B,C and D is correct
Step-by-step explanation:
As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.
Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March
Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct
There is greater variability for the month of April. Hence, option D is correct
Find out the possible two numbers that satisfied all the given conditions. The LCM of two numbers is 130.• The HCF of the same two numbers is 13. • Both numbers are less than 100. Write down two possible numbers.
Answer:
1020100101/1
Step-by-step explanation:
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2. On this spinner, the pointer is spun once. The colour is recorded.
The pointer is spun a second time. The colour is recorded.
a) Suppose you win if you spin the same colour on both spins.
What are your chances of winning?
b) Suppose you win if you spin two different colours.
What are your chances of winning?
Answer:
A=25% B=75%
Step-by-step explanation:
So first lets make a sample space. (Im using red, blue, green, and yellow)
rr, rb, rg, ry
br, bb, bg, by
gr, gb, gg, gy
yr, yb, yg, yy
So for A its 4/16 or 1/4=25%
For B its 12/16=3/4=75%
If a seed is planted, it has a 75% chance of growing into a healthy plant.
If 6 seeds are planted, what is the probability that exactly 4 don't grow?
Answer:
It is binomial:
p= 0.75 = 75%
1-p = 0.25 = 25%
N = 10
k=7
"seven successes in 10 trials"
(10 choose 7) (0.75)^7 ( 0.25)^3 =
(10*9*8 / 3*2) * (0.75)^7 ( 0.25)^3 =
(5*3*8) (0.75)^7 ( 0.25)^3
120 (0.75)^7 ( 0.25)^3
= 0.25028228759765625
or just over 25%
Step-by-step explanation:
You need a 30% alcohol solution. On hand, you have a 780 mL of a 15% alcohol mixture. You also have 90%
alcohol mixture. How much of the 90% mixture will you need to add to obtain the desired solution?
You will need ____ mL of the 90% solution?
PLEASE HELP!!! BRAINLIEST! FOR MY FINAL!!!
Answer:
195 mL of the 90% solution
Step-by-step explanation:
Let the number of mL of 90% mixture = x
Hence, our equation is
780mL × 15% + x mL × 90% = (780mL + x) 30%
117 + 0.9x = 234 + 0.3x
Collect like terms
0.9x - 0.3x = 234 - 117
0.6x = 117
x = 117/0.6
x = 195 mL
Therefore, You will need 195 mL of the 90% solution
Given the function f(x) = 0.5|x - 4| + 6, for what values of x is f(x) = 7
Answer:
6 or 2
Step-by-step explanation:
f(x) = 0.5|x - 4| + 6
0.5|x - 4| + 6 = 7
0.5|x - 4| = 7-6
0.5|x - 4| = 1
|x - 4| = 2
x -4 = ± 2
x-4 = 2 ==> x = 6
x-4 = -2 => x = 2
so the value of x = 6 or 2
10 ft
8 ft
Find the perimeter of this figure to
the nearest hundredth. Use 3.14 to
approximate a.
P = [?] ft
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Answer:
40.56 ft
Step-by-step explanation:
The length of the semicircle of diameter 8 ft is ...
(1/2)(π)(d) = (π/2)(8 ft) = 4π ft ≈ 4×3.14 ft = 12.56 ft
Then the sum of the lengths of all of the sides of the figure is ...
P = 10 ft + 8 ft + 10 ft + 12.56 ft = 40.56 ft
The perimeter of the figure is about 40.56 ft.
Geometry. BD is tangent to circle O at C, mAEC=280, and mACE=80. Find mDCE.(The figure is not drawn to scale.)
A. 100
B. 50
C. 120
D. 60
math
A hemispherical tank is filled with water and has a diameter of 4 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
9514 1404 393
Answer:
1046 pounds
Step-by-step explanation:
The volume of the hemisphere is given by the formula ...
V = 2/3πr³
where r is the radius, or half the diameter.
The radius is (4 ft)/2 = 2 ft, so the volume of the tank is ...
V = (2/3)π(2 ft)³ = 16/3π ft³ ≈ 16.755 ft³
Then the weight of the water in the tank is ...
(16.755 ft³)(62.4 lb/ft³) ≈ 1045.52 lb
The total weight of the water is about 1046 pounds.
Which conversions from scientific notation to standard notation are true? Select the four correct answers
The options are missing, so i have attached them.
Answer:
options B, E, G & H are correct.
Step-by-step explanation:
A) We are given;
1.71 × 10³ = 0.00171
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point to the right of 1.71 three times because the exponent is 3.
Thus, the proper conversion is;
1.71 × 10³ = 1710
B) We are given;
8.05 × 10^(5) = 805000
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 8.05 because the exponent is 5.
Thus, the proper conversion is;
8.05 × 10^(5) = 805000
C) We are given;
2.4 × 10⁴ = -24000
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point four times to the right of 2.4 because the exponent is 4.
Thus, the proper conversion is;
2.4 × 10⁴ = 24000
D) We are given;
8.25 × 10^(-3) = -8250
For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point three times to the left of 8.25 because the exponent is -3.
Thus, the proper conversion is;
8.25 × 10^(-3) = 0.00825
E) We are given;
7.09 × 10^(-6) = 0.00000709
For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point six times to the left of 7.09 because the exponent is -6.
Thus, the proper conversion is;
7.09 × 10^(-6) = 0.00000709
F) We are given;
3.99 × 10^(5) = 300,099
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 3.99 because the exponent is 5.
Thus, the proper conversion is;
3.99 × 10^(5) = 399,000
G)We are given;
8 × 10^(7) = 80,000,000
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point seven times to the right of 8 because the exponent is 7.
Thus, the proper conversion is;
8 × 10^(7) = 80,000,000
H) We are given;
1.03 × 10^(-4) = 0.000103
For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point four times to the left of 1.03 because the exponent is -4.
Thus, the proper conversion is;
1.03 × 10^(-4) = 0.000103
Looking at all the options as well as the proof I got, only options B, E, G & H are correct.
Mike is building a model of a classic car: a '67 Chevy Impala. The scale is 1 in : 48 in. The actual length of the car is 213.2 inches. How long will the model be? Round to the nearest tenth.
Sarah bought a pair of shoes that were $64 but we’re on sale for $46 sales tax is 6% how much does she pay for the shoes
Answer:
43,24$
Step-by-step explanation:
46$ — 100%
x$ — 6%
46 · 6/100
2,76$
46$ - 2,76$ = 43,24$
I don't know if this helps
A manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent. Suppose the amount of solvent in each drum is normally distributed with a mean of 101.8 pounds and a standard deviation of 3.76 pounds. a) What is the probability that a drum meets the guarantee
Answer:
0.6844 = 68.44% probability that a drum meets the guarantee.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 101.8 pounds and a standard deviation of 3.76 pounds.
This means that [tex]\mu = 101.8, \sigma = 3.76[/tex]
What is the probability that a drum meets the guarantee?
Probability of at least 100 lbs of solvent, which is 1 subtracted by the p-value of Z when X = 100. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{100 - 101.8}{3.76}[/tex]
[tex]Z = -0.48[/tex]
[tex]Z = -0.48[/tex] has a p-value of 0.3156.
1 - 0.3156 = 0.6844
0.6844 = 68.44% probability that a drum meets the guarantee.
Which inequality shows all possible values for the measure of the third side, x, in inches?
Answer:
[tex]26 > c > 58[/tex]
Step-by-step explanation:
Given
[tex]a,b =42; 16[/tex] --- 2 sides
Required
The inequality for the third side
To do this, we make use of:
[tex]a + b < c[/tex]
[tex]a + c < b[/tex]
[tex]b + c < a[/tex]
So, we have:
[tex]42 + 16 < c[/tex]
[tex]16 + c < 42[/tex]
[tex]42 + c < 16[/tex]
This gives:
[tex]58 < c[/tex]
[tex]c < 26[/tex]
[tex]c<-26[/tex]
The usable inequalities are:
[tex]c < 26[/tex] and [tex]58 < c[/tex]
Rewrite:
[tex]c < 26[/tex] and [tex]c > 58[/tex]
So, the inequality is:
[tex]26 > c > 58[/tex]
i need to find the area of a rectangle using the formula A=b*h the height is 810 cm the base is 10 meters...i know i need to convert, but how do i set up the equation to gigute/work this this out?
Answer:
81000[tex]cm^{2}[/tex] or 8.1[tex]m^{2}[/tex]
Step-by-step explanation:
1m = 100cm
10m = 1000cm
a= b*h
a= 1000cm * 810cm
= 810000[tex]cm^{2}[/tex]
1[tex]m^{2}[/tex] = 10000[tex]cm^{2}[/tex]
810000[tex]cm^{2}[/tex] = 8.1[tex]m^{2}[/tex]
Write an equation for the following problem,
"Ross decides to go ice skating with his friends.
The rink charges $8 to rent skates and $7.50 for
each hour. Write an equation to find the total
cost (C) if he skates for 3 hours.?"
Answer:
c= $8 +($7.50×3)
Step-by-step explanation:
Simplify the expression:
10+10v–10+10v
Answer:
20v
Step-by-step explanation:
answer
20 v. hope helpful answer. 10+10v-10+10 =20
An electronics firm claims that the proportion of defective units of a certain process is 5%. A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot. On a particular occasion, the bury found 5 items defective. a) What is the probability of this occurrence, given that the claim of 5% defective is correct
Answer:
0.0006 = 0.06% probability of this occurrence
Step-by-step explanation:
For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An electronics firm claims that the proportion of defective units of a certain process is 5%.
This means that [tex]p = 0.05[/tex]
A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.
This means that [tex]n = 15[/tex]
a) What is the probability of this occurrence?
Probability of 5 defective items, whch is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]
0.0006 = 0.06% probability of this occurrence
The number of adults at an amusement park, measured in hundreds of people, is represented by the function a(w)=−0.4w^2+5w+9, where w is the number of weeks since the amusement park opened for the season.
The number of children at the same amusement park, measured in hundreds of people, is represented by the function c(w)=−0.2w^2+9w+12, where w is the number of weeks since the amusement park opened for the season.
What function, f(w) , can be used to determine how many more children than adults are at the amusement park any week during the season?
Answer:
0.2w^2+4w+3
Step-by-step explanation:
a(w)=−0.4w^2+5w+9
c(w)=−0.2w^2+9w+12
We want to find the how many more children than adults
f(w) = c(w) - a(w)
= −0.2w^2+9w+12 - ( −0.4w^2+5w+9)
Distribute the minus sign
= −0.2w^2+9w+12 +0.4w^2-5w-9
Combine like terms
= 0.2w^2+4w+3
ASAP PLEASE HELP!! EMERGENCY!!
A standard six sided die is rolled two times. use a tree diagram or organized list to write out the sample space.
Well, you can come up with 1,2,3,4,5,6 from the die. Its rolled twice so those numbers can happen two times. So we can use a tree diagram to write it out
Die
/|\
1-----1------2------2-----3--------3------------------4-----4-------5----------5---------6------6
Should look something like this. Connect the lines from die to each number, I can't draw them on the computer but hopefully this helps!
The size of the sample space is 36. And the sample space is given below.
What is a sample?A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.
A standard six-sided die is rolled two times.
Then the size of the sample space will be
Size of sample = 6 x 6
Size of sample = 36
Then the sample is given below.
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
More about the sample link is given below.
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The ______ are (is) used to determine the amount of money that an organization would save if it used a particular test in place of the test it currently uses to select employees.
Answer:
The correct answer is the "Brogden-Cronbach-Gleser formula".
Step-by-step explanation:
Brogden introduced the BCG approach towards the conclusion of the nineteenth century as well as developed it considerably mostly throughout a 1965 guidebook by Cronbach as well as Gleser.This model was used to determine the monetary value of another profit derived from either the usage of the content or the selection criterion beneath defined parameters.A tree with a height of 8 ft casts a shadow 14 feet long on the ground. How high is another tree that casts a shadow which is 21 feet long?
Answer:
12
Step-by-step explanation:
Do 8 divided by 14 =0.571428571
times that by 21 = 12