Answer:
3,500 tons
Step-by-step explanation:
We know that 1,400 tons is 2/5 of the Consolidated Brick Company's output.
This means that 1/5 must be equal to 700 tons if 2/5 is 1,400.
So, we can find the total output by multiplying 700 by 5, since 700 is 1/5 of the total.
700(5) = 3,500 tons
SOLVE EACH EQUATION BY TAKING SQUARE ROOTS. 1.) 3(x-5)^2=48 2.)2x^2-56=42
Answer:
see explanation
Step-by-step explanation:
(1)
3(x - 5)² = 48 ( divide both sides by 3 )
(x - 5)² = 16 ( take the square root of both sides )
x - 5 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 5 to both sides )
x = 5 ± 4
Thus
x = 5 - 4 = 1
x = 5 + 4 = 9
Solutions are x = 1, x = 9
(2)
2x² - 56 = 42 ( add 56 to both sides )
2x² = 98 ( divide both sides by 2 )
x² = 49 ( take the square root of both sides )
x = ± [tex]\sqrt{49}[/tex] = ± 7
Solutions are x = - 7, x = 7
A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. The standard error of the mean is
Answer: 2.
Step-by-step explanation:
Number of samples = 121
Average speed (sample mean) = 65mph
Population standard deviation = 22 mph
The standard error of the mean is:
Standard error of the mean(S.Em)
Standard error of the mean is the proportion of the population standard deviation and the square root of the sample size.
S.Em = standard deviation / √same size
S.Em = 22 / √121
S.Em = 22 / 11
S.Em = 2
Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? $ What is the y-value in the solution to this system of linear equations? 4x + 5y = −12 -2x + 3y = −16 −4 −2 2 5
Answer:
They both rented the bikes for 4 hours and paid $ 24.
Answer:$24
Step-by-step explanation:
What is the first step to circumscribe a circle around a triangle? a Find the diameter b Find the angle bisectors c Find the perpendicular bisectors d Draw the circle
Answer:
Step 1-Construct the perpendicular bisector of one side of the triangle.
Step 2-Construct the angle bisector of another side of the triangle.
Explanation:
A circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet
The quadratic 3x^2-24x+72 can be written in the form a(x+b)^2+c, where a, b, and c are constants. What is a+b+c?
Answer:
7
Step-by-step explanation:
Quadratic Equation: 3x² - 24x + 72
The form we are to convert the equation to:
3x² - 24x + 72
a(x + b)² + 72
3(x² - 8x + 24)
Step 1
Make the Quadratic equation (x² - 8x) in the bracket factorisable using completing the square method
3( x² - 8x +(- 8/2)²) + 24
3( x² - 8x + 16 = -24 + 16
3( x² - 8x + 16 + 8 = 0)
3( x² - 8x + 16) + 8
3( x² - 4x + 4x + 16) + 8
3( x(x - 4) -4(x - 4) + 8
3((x - 4)(x - 4) )+ 8
3( (x - 4)² + 8
Using this form
a(x + b)² + c
a = 3
b = -4
c = 8
We were asked to add up constants a, b, c
Therefore,
3 +(-4) + 8
= 7
URGENT PLEASE HELP
1. Use the rules of divisibility to check which of the following
numbers are multiples of (are divisible by) 2,3,4,5,6, 8, 9 and 10
a) 552
b) 315
c) 620
d) 426
Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?
Answer: A = (1m/3)^2 or A= (1/3)^2 m
Or A= (1/3)(1/3)
Step-by-step explanation:
No choices given, but it will look like one these answers.
The area of a square that has a side length of 1/3 meter is 1/9 square meter.
I hope this helps you.
Answer:
a= (1/3)(1/3)
Step-by-step explanation:
find the prime factorization of 47
PLEASE HELP ME! I will not accept nonsense answers, but will give BRAINLIEST if you get it correct with solutions:)
Answer: B. He loses 1/5 of his points in the next crash
Plug in x = 0 to get y = 100(4/5)^0 = 100. He starts with 100 points
After x = 1 crash happens, he has y = 100(4/5)^1 = 80 points left. He lost 20/100 = 1/5 of his points after one crash.
A rectangular tank, 1 1/2m long and 1m wide,
contains water to a depth of 50 cm. How
many litres does it contain?
A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items? y squared = 4 x squared minus 100 y = negative x squared + 50 x minus 300 x = negative y squared minus 400 x squared = negative 6 y squared + 200
Answer:
B. y= -x^2 + 50x - 300
Step-by-step explanation:
Options given
A. y^2=4x^2 - 100
B. y= -x^2 + 50x - 300
C. x= -y^2 - 400
D. x^2= -6y^2 + 200
We are to find profits (y) function in thousands of dollars if the company sells x items.
We will use elimination method to eliminate the wrong options above in order to find the correct answer
Option A. y^2= 4x^2 - 100 is used to find the square of the profit function
Option B. y= -x^2 + 50x - 300 is used to calculate profit (y) function
Option C. x= -y^2 - 400 is for the calculation of the items x sold
Option D. x^2= -6y^2 + 200 is to find items x sold squared.
Since, we are required to find the profit (y) function, option A, C and D will be eliminated.
We are left with option B which is the correct answer to the question.
The weekly profits (y) function in thousands of dollars when the company sells x items is
B. y= -x^2 + 50x - 300
Answer:
B.
Step-by-step explanation:
I just took the quiz on edge
Examine the diagram of circle C. Points A, B, and Q are on circle C. Given that m∠ACB=52∘, what is the arc length of AQB⌢?
Hey there! :)
Answer:
Third choice: 13π/15 in.
Step-by-step explanation:
Begin by finding the circumference of the entire circle. Use the formula
C = 2rπ to solve:
C = 2(3)π
C = 6π.
Next, we can set up a proportion to find the arc length of AQB:
[tex]\frac{6\pi }{360}= \frac{x}{52}[/tex]
Cross multiply:
52 · 6π = 360 · x
312π = 360x
Divide both sides by 360:
312π/360 = 360x/360
x = 13π/15 in.
Answer:
The answer is 77n/15 inches :)
Step-by-step explanation:
why arent answers showing up for a ton of people right now?
5. Use long division:
a. 483 ÷ 15
b. 907÷12
Answer:
Please look at the picture attached to see the long division.
a. 32 remainder 3
b. 75 remainder 7
Step-by-step explanation:
Answer:
Hey! The answer to your question will be below.
Step-by-step explanation:
Part A would be 32 R 3
And Part B would be 75 R 7
If you want to see how I got this by long division, below I attached a picture which shows how you would do the long division!
Hope this helps! :)
⭐️Have a wonderful day!⭐️
trigonometry heeellllppp plzzzz
Answer:
x ≈ 3.4 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )
4 × sin57° = x , thus
x ≈ 3.4 cm ( to 1 dec. place )
Sudhir bought an almirah for RS 13600 and spent RS 400 on its transportation . He sold it for RS 16800 . find the his gain percent
Answer:
His gain percent is 20%
Step-by-step explanation:
In this question, we want to find the percentage gain of the business.
We need the following parameters;
The cost price which is the sum of the amount she bought the goods + the amount spent on transport
Using the values we have in the question;
The cost price will be;
13,600 + 400 = Rs 14,000
The selling price = Rs 16,800
Mathematically the percentage gain will be;
% gain = (selling price- cost price)/selling price * 100%
% gain = (16,800-14,000)/14,000 * 100/1
% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%
Write the equation of the conic section satisfying the given conditions. focus at the pole, e = 3/4, horizontal directrix 2 units above the pole
Answer:
The equation in the polar form is;
[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex]
Step-by-step explanation:
e = 3/4 > 1, we have an hyperbola
The polar equation of a conic is of the form;
For vertical directrix
[tex]r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}[/tex]
For horizontal directrix
[tex]r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}[/tex]
Where;
k = Distance from the focus to the directrix = 2
We have;
[tex]r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]
[tex]r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]
Which gives the equation in the polar form as follows;
[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex].
What is function?write one example
A function is a relation between sets defined by a formation law. Examples:
[tex]F(x)=0[/tex]
[tex]F(x) =x[/tex]
[tex]F(x) = ax+b[/tex]
Hurry help plz exam 05 :The following sphere has a diameter of 11 inches.
What is the volume of the sphere? Use 3.14 for it and round your answer to the nearest tenth.
O 5,572.5 in^3
O 696.6 in^3
O 174.1 in^3
O 126.6 in^3
Answer:
696.6 in³
Step-by-step explanation:
The formula for the volume of a sphere is 4/3πr³
The diameter of 11 in. is given. Therefore, the radius is 5.5 (11/2 = 5.5).
1. Set up the equation
4/3(3.14)(5.5³)
2. Solve
= 696.6 in³
Answer:
[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]
Step-by-step explanation:
Diameter = 11 inches
Radius = 5.5 inches
Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 5.5 inches
Volume = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]
Volume = [tex]\frac{4}{3} (3.14)(166.375)[/tex]
Volume = [tex]\frac{2090.7}{3}[/tex]
Volume = 696.9 in.³
Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.
Answer:
The 12th term is 68Step-by-step explanation:
Since the sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
d = 6
a = 2
n = 12
So the 12th term of the sequence is
A(12) = 2 + (12-1)6
= 2 + 11(6)
= 2 + 66
A(12) = 68Hope this helps you
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), D(2, 7). What is the area of rectangle A, B, C, D? square units NEED ASAP 40 POINTS LIGIT
Answer:
[tex]\boxed{\sf \ \ 28 \ \ }[/tex]
Step-by-step explanation:
Hello,
Please find attached the graph
AB = 6-2 = 4
DA = 7-0 = 7
So the area of the rectangle is AB * DA = 4 * 7 = 28
Hope this helps
A rectangular prism with a volume of 666 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism
Answer:
48 cubes
Step-by-step explanation:
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism
Solution
Volume of a cube=b^3
Where,
b=side length of a cube
b=1/2 units
Volume of a cube=b^3
=(1/2)^3
=1/8 cubic units
Volume of the rectangular prism=6 cubic units
To find out the number of cubes needed to fill the prism, divide the volume of the rectangular prism by the volume of one cube
Number of cubes needed= Volume of the rectangular prism ÷ volume of a cube
=6 ÷ 1/8
=6 × 8/1
=48 cubes
These figures are similar the area of one is give. Find the area of the other
Answer:
80 in²
Step-by-step explanation:
8/10 = x/100
x = 80
What is the constant of proportionality in the equation y = 2.51?
constant of proportionality
Answer:
The constant of proportionality (k) equals the total price (y) divided by the number of cans (x).
Step-by-step explanation:
might help
Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minus 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box?
Answer:
It's -3
Step-by-step explanation:
I got it right on Edge 2020
plzzzzz help meeee 10points!
Write as an algebraic expression: 6 less than the product of 4 and a number
Hi there! I know I'm a little late but, hopefully this helps!
-------------------------------------------------------------------------------------------------------------
"6 less than the product of 4 and a number" means:
4 × n - 6
factor the equation x2-2x-15=0
Answer:
(x + 3)(x - 5)
Step-by-step explanation:
Well to factor x^2-2x-15,
we need to find 2 numbers that multiply to get -15 and add to get -2.
3*-5 = -15
3x + -5x = -2x
x*x = x^2
Factored (x + 3)(x - 5)
Hope this helps :)
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
Step 1- Find 2 number that multiplies to be -15, but also add to be -2
This would be -5 and 3
-5 * 3 = -15
-5 + 3 = -2
Step 2- write the equation
The equation can be written 2 different ways
1st way- (x - 5)(x + 3)
2nd way- (x + 3)(x - 5)
How many solutions are there to the equation below?
7(x + 2) = 7x-10
O A. Infinitely many
O B. o
O c. 1
Hi there! :)
Answer:
B. 0 solutions.
Step-by-step explanation:
Given the equation 7(x + 2) = 7x - 10
Simplify:
7(x + 2) = 7x - 10
Distribute the 7 with the terms inside of the parenthesis:
7x + 14 = 7x - 10
Subtract "7x" and 14 from both sides:
7x - 7x = -10 - 14
0 ≠ - 24. The equation has no solutions.
Answer:
[tex]\boxed{\sf B. \ 0}[/tex]
Step-by-step explanation:
[tex]\sf 7(x + 2) = 7x-10[/tex]
Expand brackets.
[tex]\sf 7x+14 = 7x-10[/tex]
Subtract 7x and 14 from both sides.
[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]
[tex]\sf 0=-24[/tex]
There are 0 solutions.
Sequences as Functions: Practice
Save and Exit
Question 8 of 8
Consider the geometric sequence below.
2, 12, 72, 432, ...
Select the explicit function which defines the sequence.
f(n) = 6.3(m – 1)
0 0
f(n) = 6.2(1 - 1)
f(1) = 3.2(0 - 1)
O f(x) = 2.6(n - 1)
Submit
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i have tried everything At Central Online High School, 45100 of the students have a dog, 30100 of the students have a cat, and 18100 of the students have both a dog and a cat. What is the probability that students who have a cat also have a dog?
Work Shown:
Let's say this school has 100 people total. We know that 30 of the people have a cat since 30/100 is the fractional portion of cat owners. Similarly, 18 have both a cat and a dog.
The probability of selecting someone who has both pets, given we know they are a cat owner, is 18/30 = 3/5
To reduce the fraction, divide both parts by the GCF 6.
Note: we don't use 45/100 because we know that whoever selected wasn't solely a dog owner.
Answer:
at the rate of 100000.
u t cute