Answers
[tex]4b(b+2)=16+4b^2\\4b^2+8b=16+4b^2\\8b = 16 + 4b^2-4b^2\\8b = 16\\b = 2[/tex]
Hope that helps!
Related Questions
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
( 6(x)² + 12(x) - 90 ) ft³
Explanation:
deep end water: 2(x)² + 12(x) + 10shallow end water: 4(x)² - 100addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100
total volume of water:
2(x)² + 12(x) + 10 + 4(x)² - 1002(x)² + 4(x)² + 12(x) + 10 - 1006(x)² + 12(x) - 90Answer:
a) [tex]\sf total \ volume \ of \ pool= (2x^2+12x+10)+(4x^2-100) \ ft^3[/tex]
b) [tex]\sf total \ volume \ of \ pool =(6x^2+12x-90) \ ft^3[/tex]
Step-by-step explanation:
Given:
volume of water in the deep end: [tex]\sf (2x^2+12x+10) \ ft^3[/tex]volume of water in the shallow end: [tex]\sf (4x^2-100) \ ft^3[/tex]a) Total volume of water = deep end volume + shallow end volume
[tex]\implies \sf total= (2x^2+12x+10)+(4x^2-100)[/tex]
b) Simplify:
[tex]\sf \implies 2x^2+12x+10+4x^2-100[/tex]
Collect like terms:
[tex]\sf \implies 2x^2+4x^2+12x+10-100[/tex]
Combine like terms:
[tex]\sf \implies 6x^2+12x-90[/tex]
You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34 degrees to the bottom of the iceberg. How many meters (to the nearest tenth) does the iceberg extend below the surface?
Answers
Answer: x = 4ooo sin 340 x = 223627 ft.
Step-by-step explanation: The angle between the waterline and the submarine is 34°. How deep is the submarine?
The triangular right prism shown below has a triangular base whose perimeter is 22.4 inches and whose area is 15.2 inches. If its height is 9.7 inches, then which of the following is its volume in cubic inches?
Answers
The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is 147.44 in³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a triangular prism is given by:
Volume = Area of triangular base * height.
Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:
Volume = 15.2 * 9.7 = 147.44 in³
The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is 147.44 in³
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Jen buys 4 tires for $272. Each tire was the same price.
What is the cost of 1 tire
Answers
Answer: 1 tire would cost 68$
Step-by-step explanation:
can I have brainliest pls <3
Answer:
here we've been given the cost of 4 tires. and we've to find the cost of one tire.
in such a situation , we usually divide the cost of " n " number of tires by " n " ( where , n = number of tires )
so , here we go -
_____________________________
[tex]\bold{cost \: of \: 4 \: tires = 272 \: dollars }\\ \\ cost \: of \: 1 \: tire = \frac{272}{4} \: dollars \\ \\ \dashrightarrow \: 68 \: dollars[/tex]
_____________________________
hope helpful :D
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 33 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 33 students studied each week was 17. 7 hours. The sample standard deviation of 3. 9 hours. Find the p -value. The p -value should be rounded to 4-decimal places
Answers
Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.
What are the hypotheses tested?At the null hypothesis, it is tested if the students study 20 hours, that is:
[tex]H_0: \mu = 20[/tex].
At the alternative hypothesis, it is tested if they study less than 20 hours, that is:
[tex]H_1: \mu < 20[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are given as:
[tex]\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33[/tex].
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}[/tex]
[tex]t = -3.39[/tex]
What is the p-value?Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.
More can be learned about the t-distribution at https://brainly.com/question/13873630
10 yes ago the age of father was double than that of his daughter age. if the sum of their age is 50 yes find their present age
Answers
Answer:
Hope the picture will help you......
The function f(x) = x2 is transformed to obtain the graph of the related function g(x) using a vertical stretch by a factor of 3.
Answers
Answer:
[tex]y = \frac{1}{3} x^2[/tex]
Step-by-step explanation:
Vertical stretch = widens graph
Factor = multiply by [tex]\frac{1}{3}[/tex]
FINAL RESULT: [tex]y = \frac{1}{3} x^2[/tex]
Hope this helps!
Complete the missing steps to express in simplest radical form.
Answers
Help me pls
-3^3(-8n^3-3n^2)
Answers
-3^3 x 8n^3 - (-3^3 x 3n^2)
-27 x 8n^3 - (-27 x 3n^2)
-216n^3 - (-81n^2)
-216n^3 + 81n^2
Please Help!!
Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5. 7% over the previous year.
Write an exponential function, f(x), that models the tons of cherries produced by Cherry Hill Orchards x years after 2012.
Enter your answer by filling in the boxes.
f(x)= -------- * ( )^x
Answers
Answer:
[tex]f(x)=500*(.057)^x[/tex]
Step-by-step explanation:
1. Find the total area. Round to the nearest hundredth.
Answers
Answer:
1052.39 cm2
Step-by-step explanation:
too lazy to type all that
1) find the radius of the half circle using pythagorus. (34-16=18, √30^2-18^2 = 24 = diameter. radius = 12)
2) find the area of the cirlcle then divide by 2 youll get the area of the half circle
3) find the area of the other thing (i forgot its name) using
1/2×24×(16+34) = 600
then add them up
The crime rate of a certain city is increasing by exactly 6% each year. If there were 550
crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2016.
Round to the nearest whole number.
Answers
Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 550(1 + 0.06)^t[/tex]
[tex]A(t) = 550(1.06)^t[/tex]
2016 is 26 years after 1990, hence:
[tex]A(26) = 550(1.06)^{26} \approx 2502[/tex]
The approximate number of crimes in the year of 2016 was of 2502.
More can be learned about exponential functions at https://brainly.com/question/25537936
Andrea Spent a total of $.43.87 on now clothes at a department store bought one pair of Sandals for $8. One T-shirt for 9.49 and two Jeans The tax on the purchase was $2.88 How much did Andrea pay for one pair of jeans, if each pair costs the same amount.
Answers
Answer:
$11.75
Step-by-step explanation:
We need to first subtract to find our answer :)
43.87 - (8 + 9.49 + 2.88)
43.87 - 20.37
23.50
Now we divide :)
23.50/2 = 11.75
Have an amazing day!!
Please rate!!
The vertices of quadrilateral ABCD are (-6,6),(3,6),(3,-6) and (-3,-3)
Quadrilateral EFGH will be a dilation if quadrilateral ABCD with a scale factor of 1/3
At what coordinates should point F, of quadrilateral EFGH, be plotted?
A. (2,2)
B. (1,2)
C. (2,1)
D. (1,1)
Answers
Answer: B
Step-by-step explanation:
The five-number summary for the number of aces Olga served during each tennis match is shown in the following table.
\text{Min}Minstart text, M, i, n, end text Q_1Q
1
Q, start subscript, 1, end subscript \text{Median}Medianstart text, M, e, d, i, a, n, end text Q_3Q
3
Q, start subscript, 3, end subscript \text{Max}Maxstart text, M, a, x, end text
000 333 666 101010 141414
Olga had more than 666 aces in about what percent of tennis matches?
Answers
Answer:
50%
Step-by-step explanation:
the first number represent 0% then 25% then 50% then 75% then 100%
6 was in the half so 50%
What is the area and perimeter for this
Answers
Answer:
Step-by-step explanation:
Side₁ = 1.8 +3.2 = 5 cm
Side₂ = 3 cm
Side₃ = 4 cm
Perimeter of triangle = sum of all the three sides
= 5 + 3 + 4
= 12 cm
[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}[/tex]
[tex]=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}[/tex]
Colin & Brian share a lottery win of £2100 in the ratio 4 : 1.
Colin then shares his part between himself, his wife & their son in the ratio 2 : 5 : 3.
How much more does his wife get over their son?
Answers
Answer:
£336 more
Step-by-step explanation:
2100/5 = 420 One fifth of the total lottery.
Colin has four shares so 4X420 = 1680
He then splits it into 10 (2+3+5) parts. 1680/10=168
Wife: 168X5=840
Son: 168X3=504
Wife-Son 840-504=336
Answer:
336£
Step-by-step explanation:
To get the amount of money colin gets
(2100*4)/5=1680
Lets do a table:
2 is himself5 is his wife3 is his son2. 5. 3. Sum:10
(2*1680)/10. (5*1680)/10. (3*1680)/10
=336. =840. =504
Then the wife gets 840-504=336£Make x the subject K(x-a)=t
Answers
Answer:
x = t+ka/k
Step-by-step explanation:
First you take letter k and place it after =sign which brings (x-a) = t/k because if you shift any number or letter after the = sign it has to be the opposite sign. for instance if it's positive, it will turn negative after the equal sign and if it is multiplication, it will turn division
Then you open the brackets which makes x-a = t/k
Now you shift "a" after the equal sign which leads to our answer, x= t +ka/k
Answer:
x = [tex]\frac{t+ka}{k}[/tex]
Step-by-step explanation:
k(x - a) = t ← distribute parenthesis on the left side by k )
kx - ka = t ( add ka to both sides )
kx = t + ka ( divide both sides by k )
x = [tex]\frac{t+ka}{k}[/tex]
alex earned $ 20.40 in three hours what is the unit rate in dollars per hour
Answers
Divide total made by total hours:
20.40 / 3 = $6.80 per hour
Answer:
See below.
Step-by-step explanation:
Divide the amount of money by the time.
20.4/3=6.8
So, alex earned $6.80 per hour.
-hope it helps
Introduction to Functions (40-41)
Find which relations below represent functions. Write function if it represents a function in the blanks provided.
Otherwise, write not a function in the blanks provided below the tables.
A
B
X1
Yı
X1
уі
X1
yı
7
0
3
Сл
-4
-3
5
5
Сл
7
-4
1
-8
2
7
9
10
-4
-1
-1
15
7
-4
-3
7
-2
or do
20
5
7
-4
-5
1
Answers
Answer:
try the option provided in the attachment.
Table B and C are represent the function.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find which relations below represent functions.
Now,
We know that;
A relation between a set of inputs having one output each is called a function.
Hence, By table 1;
Each output has same input.
Thus, Its not represent function.
By table 2;
A set of inputs having one output each.
Hence, Its represent function.
By table 3;
A set of inputs having one output each.
Hence, Its represent function.
Thus, Table B and C are represent the function.
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A wild population of penguins is being monitored in 2000, the population was 200 penguins and
thanks to conservation efforts the population is growing by 296 every year.
What is the initial value?
Answers
Answer: 200
Step-by-step explanation:
The initial value is 200, since this is the population before conservation efforts began.
A survey of high school juniors found the 75% of the students plan on attending college. If you pick 3 students at random, what is the probability that at least two plan on attending college? Round to the nearest percentage.
Answers
Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.
ProbabilityUsing Binomial Distribution
Given:
n = 3
p = 0.75
q = 1-0.95 = 0.25
Hence:
P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³
P[≥2] = P[2] + P[3]=0.421875+0.421875
P[≥2] = P[2] + P[3]=0.84375×100
P[≥2] = P[2] + P[3]=84% (Approximately)
Inconclusion the probability that at least two plan on attending college is 84%.
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Which expression is equivalent to 7(4x + 2y)?
A) 42xy
B) 28x + 2y
C) 11x + 2y
D) 28x + 14y
Answers
Answer:
D) 28x + 14y
Step-by-step explanation:
7(4x + 2y)
Step 1: Distribute
(7 × 4x) + (7 × 2y)
Step 2: Simplify
28x + 2y
Answer:
[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]
Step-by-step explanation:
Use a distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
⇒ 7(4x+2y)
Multiply by expanding.
⇒ 7*4x=28x
⇒ 7*2y=14y
Then, rewrite the problem.
⇒ = 28x+14y
Hence, the correct answer is 28x+14y.I hope this helps you! Let me know if my answer is wrong or not.
helpppp
Solve for x.
Answers
Answer:
x = 28.744
Step-by-step explanation:
Seeing as this is a right triangle, and you're given an angle, an unknown measurement to the opposite side, and the measure of the adjacent side. You can use trig functions. In this case, tangent, because you are given the opposite and adjacent, and tangent covers opposite/adjacent.
Tan(32)=x/46
Tan(32)46=x
28.744=x
pls help me to answer this
Answers
Answer:
so i just went on spreadsheets and created this and screenshotted it i hope this helps
Step-by-step explanation:
A sum amounts Rs. 720 is divided into two parts in the ratio 3:5. How much will be the amount in second part?) Ans: Rs. 450
Answers
ATQ
[tex]\\ \rm\rightarrowtail 3x+5x=720[/tex]
[tex]\\ \rm\rightarrowtail 8x=720[/tex]
[tex]\\ \rm\rightarrowtail x=90[/tex]
Second part:-
5x=5(90)=450
Greg works mowing lawns and babysitting.he earns $8.90 and hour for mowing and 7.90 and hour for babysitting how much will he earn for 6 hours of mowing and 5 hours of babysitting ?
Answers
Answer:
92.9
Step-by-step explanation:
8.90 times 6 equals 53.40
7.90 times 5 equals 39.50
39.50 plus 53.40 equals 92.9
A right square pyramid is shown.
The height is 10 centimeters and the side length of the base is 16 centimeters. What is the length, in centimeters (cm), of s?
Answers
Given the height and the side length of the square pyramid, the length of s is 12.81 cm.
What is the length of s?A square pyramid is a three-dimensional object that is made up of a square base and four triangular bases that are joined together at a vertex.
S in the diagram represents the slant height of the square pyramid.
The formula that can be used to determine the slant height is:
s² = r² + h².
Where:
r = side length / 2 = 16/2
s = √8² + 10²
s = 12.81 cm
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Please help I will give brainliest.
Answers
Answer:
ITs a plus b then c ding
Step-by-step explanation:
Write an equation of the line that passes through (0, 0) and (2, 6).
Answers
Answer:
y=3x
Step-by-step explanation:
hello :
an equation is : y=ax ( the line that passes through (0, 0) )
and (2, 6): x= 2 y=6 qo : 6 = a ×2 a =3
an equation of the line that passes through (0, 0) and (2, 6) is : y=3x
The equation of the line passing through the points (0, 0) and (2, 6) is:
y = 3x.
What is the equation of a line?The equation of a line is a relation between the dependent variable y and an independent variable x, used to determine the value of y for a given x. The general form of such an equation is,
y = mx + b, where m is the slope and b the y-intercept.
What is the two-point formula?The two-point formula is the formula used to determine the equation of a straight line when the slope m and the y-intercept b are not given, but we know two points on the line.
The formula is such: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁).
How do we solve the given question?We have been given two points on the required line, (0, 0) and (2, 6)
We take the points as (x₁, y₁), and (x₂, y₂) respectively.
∴ x₁ = 0, x₂ = 2, y₁ = 0, y₂ = 6.
Since it's an equation of a line, we use the two-point method to determine the equation.
The two-point formula is:
y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)
Substituting the values we have, we get:
y - 0 = ((6-0)/(2-0))*(x-0)
or, y = 3x.
∴ The equation of the line passing through the points (0, 0) and (2, 6) is:
y = 3x.
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