it can hold water equal to volume of swimming pool.
so volume of swimming pool = L × B ×H
= 50 ×15 × 5 = 3750 cubic feet
The amount of water it will hold is 3750 feet³
Step-by-step explanation:According to the problem we need to find the volume of the pool
Volume = length x width x height
Volume = 15 x 50 x 5
Volume = 3750 feet³
So the amount of water it will hold is 3750 feet³
omg this has been killing me and idk how to do it , help please? will mark BRAINLIEST TOO (Show work too ) plz :,)
Figure 1: find the surface area: [(3 x 2 1/4) x 2] for the top and bottom. [(4 1/2 x 2 1/4)x 2] for the left and right squares. [(3 x 4 1/2) x 2] for the front and back. Which should be 20 1/4 + 27 + 13 1/2 = 60 3/4 m. The area is 4 1/2 x 3 x 2 1/4 = 30 3/4 m.
f(t)=3-2t.2t+t write in standard form
The answer is: [tex]f(t)=-4t^{2}+t+3[/tex]
Why?Since we are given a quadratic function, we need to write it using the standard form of quadratic function (parabola).
The given function is:
[tex]f(t)=3-2t.2t=+t[/tex]
The standard form of a parabola is:
[tex]f(t)=a^{2}+bx+c[/tex]
Where,
a is equal to the quadratic variable coefficient
b is equal to the linear variable coefficient
c is the constant number
So, writing the function in the standard form will be:
[tex]f(t)=3-2t*2t+t=3-4t^{2}+t=-4t^{2}+t+3[/tex]
[tex]f(t)=-4t^{2}+t+3[/tex]
Where,
[tex]a=-4\\b=1\\c=3[/tex]
Have a nice day!
David’s garden produced six bushels of zucchini, three bushels of beans, seven bushels of corn, and four bushels of beets. In the table below, write the fraction (in simplest form) and the percent of David’s total crop that each vegetable represents.
Answer:
Step-by-step explanation:
Zucchini = 'z' = 6
Beans = 'b' = 3
Corn = 'c' = 7
beets = 't' = 4
Total produce = 20 bushels of veggies.
z = 6/20 = 3/10 % = 3/10*100 = 30%
b = 3/20 % = 3/20 * 100 = 15%
c = 7/20 % = 7/20 *100 = 35%
t = 4/20 = 1/5 % = 1/5 * 100 = 20%
Total 100%
Name each regular polygon. Find the measure the indicated angles
The length of a rectangle is 5 centimeters less than twice its width. Its area is 42 square centimeters. Find the dimensions of the rectangle.
The width is
and the length is
Answer:
width=6cm, lenth is 7cm
Step-by-step explanation:
Let width of rectangle be x cm
Twice width=2x cm
length=2x-5 cm
Area of the rectangle= L× W =42cm²
(2x-5) × x =42
x(2x-5)=42
2x²-5x-42=0
solving the quadratic equation
x=6cm
width=6cm
length= (2×6)- 5 =7cm
Valerie's younger sister is 3 ft 2 in. tall. if her sister grows an additional 32 inches how tall will she be
Answer:
6 feet 4 inches
Step-by-step explanation:
Step-by-step explanation:
3 FEET 2 INCHES These are not the same! Do not multiply
Each foot is 12 inches. So 3 times 12 (3 feet) is 36, add the extra 2 inches for 38 inches.
38 plus 32 equals 70 total inches. NOw we put it back into feet.
70 divided by 12 is 5, remainder 10.
So Valerie's sister will be 5 feet 10 inches (G)
Complete the square to determine the minimum or maximum value of the function defined by the expression. −x2 + 10x + 5
[tex] - {x}^{2} + 10x + 5 \\ = - {x}^{2} + 10x - 25 + 5 + 25 \\ = - ( {x}^{2} - 10x + 25) + 30 \\ = \underbrace{ - {(x - 5)}^{2}}_{\leqslant 0} + 30 \\ \Rightarrow - {(x - 5)}^{2} + 30 \leqslant 30 \\ \Rightarrow Maximum \: value \: is \: 30 \: when \: x = 5[/tex]
7x + 2(x-5) =46
Solve for x using distribution.
Answer:
X=56/9
Step-by-step explanation:
7x+2(x-5)46
7x+2x-10=46
9x-10=46
9x=46+10
9x=56
A set of data has a normal distribution with a mean of 49 and a standard deviation of 8. Find the percent of data within the following interval. from 33 to 65.
Answer:
95 percent
Step-by-step explanation:
The empirical rule states that approximately 95% of observations will fall within 2 standard deviations of the mean if the population is approximately symmetrical(normal) in distribution.
The interval from 33 to 65 falls within 2 standard deviations of the mean;
49-2(8) = 33
49+2(8) = 65
Thus, 95 percent of data will fall within the interval from 33 to 65
combine like terms. 42y + 22y
Answer:64y
Step-by-step explanation:42+22 then just put the y at the end
Classify the quadrilateral. Then find the value(s) of the variable(s).
Answer:
Its A
Step-by-step explanation:
The legs of a right triangle are 4cm and x cm. The hypotenuse is (2x-1)cm. What is x?
Answer:
Step-by-step explanation:
(2x-1)²=x²+4²
4x²-4x+1=x²+16
3x²-4x-15=0
a=3 b=-4 c= -15
D=b²-4ac
=16-4*3*(-15)=196
x1=-b+√D/2a=4+14/6=3
x2=-b-√D/2a=4-14/6=-10/6=-5/3
Answer:
x = 3
Step-by-step explanation:
Using Pythagoras' theorem on the right triangle, then
(2x - 1)² = 4² + x² ← expand parenthesis on the left side and simplify
4x² - 4x + 1 = 16 + x² ( subtract 16 + x² from both sides )
3x² - 4x - 15 = 0 ← in standard form
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 15 = - 45 and sum = - 4
The factors are - 9 and + 5
Use these factors to split the x- term
3x² - 9x + 5x - 15 = 0 ( factor the first/second and third/fourth terms )
3x(x - 3) + 5(x - 3) ← factor out (x - 3)
(x - 3)(3x + 5) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - [tex]\frac{5}{3}[/tex]
However, x must be greater than zero
Hence x = 3 cm
The stack consists of five rows of boxes that are all the same size. If another row is added to the bottom of the stack, how many boxes will be in the row?
Answer:
6 rows
Step-by-step explanation:
How many boxes will be in the row ?
5+1=6
five rows
one more added to that same row
add u get six
Answer:
6 boxes.
Step-by-step explanation:
If another row is added to the bottom of the stack, how many boxes will be in the row. The stack consists of five rows of boxes that are all the same size.
5 + 1 = 6 boxes.
which mean absolute deviation would be more consistent 4.2 or 8.5?
8.5 would be more consistent
Answer:
4.2 would be more consistent.
Step-by-step explanation:
Solve the word problem. Round your final result to the nearest hundredth.
A pattern for Miata’s new carpet design contains circles, semicircles, and quarter-circles. All circular shapes have a radius of 8 cm. What is the area of a pattern that contains 1 circle, 4 semicircles, and 8 quarter-circles? There should be four answers
Area of circle: _____
Area of semicircles: _____
Area of quarter-circles: _____
Total area of pattern: _____
Area of semicircles
Area of semicircles =
Area of circle =
Area of quarter-circles =
Total area of pattern
Area of quarter-circles
Area of circle
Total area of pattern
The area of the pattern is calculated by finding the area of the circle, semicircles, and quarter-circles separately and then adding them together. The area of the pattern is approximately 1005.31 cm^2.
Explanation:To find the area of the pattern, we need to calculate the area of the circle, semicircles, and quarter-circles separately. The area of a circle is found using the formula A = πr^2, where r is the radius. So, the area of the circle is A = π(8)^2 = 64π cm^2. The area of a semicircle is half the area of a circle, so it is 32π cm^2. The area of a quarter-circle is a quarter of the area of a circle, which is 16π cm^2. To find the total area of the pattern, we add the areas of the circle, semicircles, and quarter-circles: 64π + 4(32π) + 8(16π) = 64π + 128π + 128π = 320π cm^2. Rounding to the nearest hundredth, the total area of the pattern is approximately 1005.31 cm^2.
Learn more about Area of Geometric Shapes here:https://brainly.com/question/31221192
#SPJ12
Finding the areas of the circles, semicircles, and quarter-circles separately and combining them together yields the pattern's overall area. The pattern's estimated area is 1005.31 cm^2.
To determine the area of the pattern, individual areas of the circle, semicircles, and quarter-circles are computed separately.
Utilizing the formula
A = πr^2
for a circle with a radius (r) of 8 cm, the circle's area is 64π cm^2.
The semicircles, constituting half the circle's area, total 32π cm^2 each.
Quarter-circles, representing a quarter of the circle's area, contribute 16π cm^2 each.
Combining these, the pattern's total area is calculated as 64π + 4(32π) + 8(16π) = 320π cm^2.
Rounded to the nearest hundredth, the total area is approximately 1005.31 cm^2.
This comprehensive approach ensures the accurate summation of all constituent shapes within the intricate pattern.
Two lines intersecting at a right angle ?
Answer:
are perpendicular
Yes, it is perpendicular
Parallel is when you have two lines that do not intersect
A ray is a line that has one definite starting point and no obvious end point. (Stars with a point and "ends" with an arrow, meaning that it goes on "forever")
A line is just one specific line
When you have perpendicular, that is when two lines cross each other forming a right angle as you may now know
Hope this helps :)
pls help will give brainliest
the correct answer is the 3rd table.
PLEASE I DONT HAVE MUCH TIME.
Frederick headed for Lutzen at 3 kph. Later he increased his speed to 4 kph. If it was 52 kilometers to Lutzen and the total time of travel was 15 hours, how long did he travel at 3 kph?
Since distance is equal to rate times time:
Let x= the time traveled at 3 km/h
Let y= the time traveled at 4 km/h
We can say that
3x+4y=52
Or that three (kilometers) times the time traveled at 3 kilometers an hour plus 4 (kilometers) times the time traveled at 4 kilometers an hour is equal to 52; the total distance traveled.
Likewise, we can see that:
x+y=15
Because x, the number of hours traveled at 3 km/h added to y, the time traveled at 4 km/h is equal to 15; the total time traveled.
Now, I'll solve by substitution.
x=-y+15
Substitute that into the other equation.
3(-y+15) + 4y = 52
Distribute
-3y + 45 + 4y = 52
Combine like terms
y + 45 = 52
Minus 45 from both sides
y = 7
So Fredrick traveled at 4 km/h for 7 hours.
Now, to find the other value, substitute the value of y into one of the original equations.
x + 7 = 15
Minus 7
x = 8
So
Time traveled at 4 km/h = 7 hours
Time traveled at 3 km/h = 8 hoursSince distance is equal to rate times time:
Let x= the time traveled at 3 km/h
Let y= the time traveled at 4 km/h
We can say that
3x+4y=52
Or that three (kilometers) times the time traveled at 3 kilometers an hour plus 4 (kilometers) times the time traveled at 4 kilometers an hour is equal to 52; the total distance traveled.
Likewise, we can see that:
x+y=15
Because x, the number of hours traveled at 3 km/h added to y, the time traveled at 4 km/h is equal to 15; the total time traveled.
Now, I'll solve by substitution.
x=-y+15
Substitute that into the other equation.
3(-y+15) + 4y = 52
Distribute
-3y + 45 + 4y = 52
Combine like terms
y + 45 = 52
Minus 45 from both sides
y = 7
So Fredrick traveled at 4 km/h for 7 hours.
Now, to find the other value, substitute the value of y into one of the original equations.
x + 7 = 15
Minus 7
x = 8
So
Time traveled at 4 km/h = 7 hours
Time traveled at 3 km/h = 8 hours
What is the best first step to solve 2x - 4 = -2. ???
first you have to add the -4 to the -2 and you get 2. so 2x=2 then you divide 2 by 2x and get x=1
PLZ HURRY IT'S URGENT!!!
What is 0.04 written as a percent? A. 0.4% B. 0.04% C. 4% D. 40%
Answer:
C. 4%
Step-by-step explanation:
simplify 16a^4 b^2 c
—————-
2abc
Answer:
[tex]\large\boxed{\dfrac{16a^4b^2c}{2abc}=8a^3b}[/tex]
Step-by-step explanation:
[tex]\dfrac{16a^4b^2c}{2abc}=\dfrac{16}{2}\cdot\dfrac{a^4}{a}\cdot\dfrac{b^2}{b}\cdot\dfrac{c}{c}=8a^3b[/tex]
Mia did a study for a health class about the effects of the length of a person's foot and their shoe size. Based on a graph of her data, she found that there was a relationship between the length of a person's foot and their shoe size. Which of the following is a valid conclusion? A. The length of a person's foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person's foot and their shoe size. B. There is no correlation between a person's shoe size and the length of their foot. C. A person's shoe size is a cause of the length of their foot. D. No conclusion can be drawn about the correlation or causation between a person's shoe size and the length of their foot.
Answer: The correct answer is A.
Step-by-step explanation: Based on Mia’s data, she found that there was a relationship between the length of a persons foot and their shoe size. The only valid conclusion in the options is choice a. The length of a persons foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person’s foot and their shoe size.
u + xy, for u = 18, x = 10, and y = 8
Answer:
98
Step-by-step explanation:
Substitute the given values into the expression
u + xy
= 18 + (10 × 8 ) ← multiply before adding
= 18 + 80
= 98
Write an expression with 4 terms, containing the coefficients 3, 6, and 9.
Answer:
3x^2 + 6y - 9x +4
Step-by-step explanation:
Zach walked his dog for 7/8 hour. They spent 1/2 of the time at the beach. How much time did Zach and his dog spend at the beach?
Answer: [tex]\frac{7}{16}hour[/tex]
Step-by-step explanation:
You know that the total time was: 7/8 hour
You also know that they spent 1/2 of the time at the beach.
Therefore, to calculate the time Zach and his dog spend at the beach (which you can call x) , you must multiply both fractions (7/8 and 1/2).
Then, you obtain the following result:
[tex]x=\frac{7}{8}hour*\frac{1}{2}\\\\x=\frac{7}{16}hour[/tex]
Zach and his dog spent 7/16 of an hour at the beach. This was calculated by multiplying the total walking time of 7/8 of an hour by 1/2, which represents the proportion of the total time spent at the beach.
Explanation:The question is asking for the amount of time that Zach and his dog spent at the beach. We know that they spent 1/2 of their total walking time, which was 7/8 hour, at the beach. To find this, we simply need to multiply those two fractions together. Multiply the numerators (top numbers) together to get the numerator of the product, and multiply the denominators (bottom numbers) together to get the denominator of the product. 1 * 7 equals 7, and 2 * 8 equals 16, so the product is 7/16 of an hour. This is the amount of time they spent at the beach.
Learn more about Fraction Multiplication here:https://brainly.com/question/9281754
#SPJ3
The area of a circle is 4πx^2 + 12πx + 9π
A) what is an expression for the radius of the circle?
B) what is the least possible integer value of x for the circle to exist?explain
Please help and explain
Answer:
r = 2x + 3Step-by-step explanation:
[tex]\text{The formula of an area of a circle:}\\\\A=\pi r^2\\\\r-\text{radius}\\\\\text{We have}\ A=4\pi x^2+12\pi x+9\pi=(4x^2+12x+9)\pi=(2^2x^2+2(2x)(3)+3^2)\pi\\\\=\bigg((2x)^2+2(2x)(3)+3^2\bigg)\pi\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=(2x+3)^2\pi\to r=2x+3[/tex]
seth finds the slant height of a square pyramid with a base length of 6cm and a height of 7 CM to be approximately 9.2 cm. what mistake did Seth make in finding the slant height of the square pyramid
please help asap
Answer:
He used formula C).
Step-by-step explanation:
The correct formula for the slant height is given by
x^2 = 3^2 + 7^2
x = 7.62 cm.
To get 9.2 he must have used
x^2 = 6^2 + 7^2 = 85
as √85 = about 9.2.
Answer:
the green at the top means i got it right
Step-by-step explanation:
Please help me with these questions
Answer: 4x-5
Step-by-step explanation: g(f(x))
g(4x-3)
4x-3-2
4x-5
Answer:Hmmmmmmm
Step-by-step explanation:
i really hope i can help
Gavin drove 85 miles on 10 gallons of gas.How many miles can gavin drive on 25 gallons of gas?
Answer:
212.5
Step-by-step explanation:
10=85
212.5=25
Gavin can drive 8.5 miles with 1 gallon of gas. Therefore, he can drive 212.5 miles with 25 gallons of gas.
Explanation:The question asks how many miles Gavin can drive on 25 gallons of gas, given that he has driven 85 miles on 10 gallons of gas. This requires the use of proportions to calculate. First, you find out how many miles Gavin can drive on 1 gallon of gas, which is 85 miles / 10 gallons = 8.5 miles/gallon. Then, using this value, we can multiply it by 25 gallons to get the total miles Gavin can drive on 25 gallons, which is 8.5 miles/gallon * 25 gallons = 212.5 miles. Therefore, Gavin can drive 212.5 miles on 25 gallons of gas.
Learn more about Mathematical Proportions here:https://brainly.com/question/39376999
#SPJ3
PLEAS HELP!
What is the length of the unknown leg in the right triangle?
Answers on second image.
Answer:
The answer is 15 m.
Step-by-step explanation:
Answer:
b = 15
Step-by-step explanation:
Using Pythagoras' theorem on the right triangle, that is
20² + b² = 25²
400 + b² = 625 ( subtract 400 from both sides )
b² = 225 ( take the square root of both sides )
b = [tex]\sqrt{225}[/tex] = 15