Pierce removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 −17x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
10(x − 3)2 − 1
10(x − 1)2 − 3
(5x − 1)(2x − 3)
10(0)2 − 17(0) + 3
Answer:
(5x - 1)(2x - 3)
10x^2 - 17 + 3 = (5x - 1)(2x - 3)
Answer:
C.(5x − 1)(2x − 3)
The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden.
Answer:
92 m
Step-by-step explanation:
Use the Pythagorean theorem to find the length of the shorter side.
Let w = length of the shorter side.
[tex]w^{2} + 30^{2} = 34^{2} \\ w^{2} + 900 = 1156\\w^{2} = 256\\w = \sqrt{256} = 16[/tex]
The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m
Which statement is true about the following pair of rectangles?
Two rectangles are shown. To the left, a larger rectangle has a lower side labeled 60 centimeters and a left side labeled 30 centimeters. To the right, a smaller rectangle has an upper side labeled 6 centimeters and a right side labeled 3 centimeters.
A. They are not similar because Start Fraction 6 over 60 End Fraction≠ Start Fraction 30 over 3 End Fraction.
B. They are not similar because Start Fraction 30 over 3 End Fraction = Start Fraction 60 over 6 End Fraction.
C. They are not similar because Start Fraction 3 over 6 End Fraction ≠ Start Fraction 30 over 60 End Fraction.
D. They are similar because Start Fraction 3 over 6 End Fraction = Start Fraction 30 over 60 End Fraction.
Answer:
probably D
Step-by-step explanation:
Reflections, Rotations, and Translations give two congruent shapes (The Image and Pre-Image)
True
O False
Find the value of x.
Answer:
66
Step-by-step explanation:
subtract each external angle by 180 to find the interior angle.
Since you know that all of the interior angles add up to 540 because 180(n-2)
with n is how many sides in the polygon
so 180(5-2)=540
now take each value and subtract it by 180
180-(45)=135
180-(40)=140
180-(x)=180-x
180-(77)=103
180-(2x)=180-2x
135+140+180-x+103+180-2x=540
738-3x=540
x=66
hope that helps :)
Please give brainliest
Please help me pls plsss
Answer:
c is correct
Step-by-step explanation:
If you look at it, 2x is the slope. Always remember the formula y = mx + b
The mx is your slope. And the whole number is your b or y - intercept
Hope this Helps!! :)
find the area of the composite figure
Answer:
12 x 13 = 156
17 - 12 = 5 x 12 = 60
156 + 48 = 216
4 2/3 - 3 1/8
Leave your answer as a mixed fraction
Answer:
Here.is the answer.
Step-by-step explanation:
Hope it helps.....
Find the equation of the line between the points (10, – 5) and ( - 2,0).
Answer (assuming it can be in slope-intercept form):
[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]
Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].
2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:
[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]
walk if it walks at a constant pace for 15
minutes. At the same rate, how many
kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Minutes H
0
+
15
Meters H
400
PLEASE HELP ME TODAY
Answer: 4.00
Step-by-step explanation: There are 60 minutes in 1 hour. So, 60/15 gives you your answer. 60/15 = 4, but it says write it as a decimal. So, your answer will be 4.00.
Name the interval on which the function graphed below is
increasing.
1. X>1.5
2. X<1.5
3. X>0
4. -1
Answer:
Step-by-step explanation:
x > 1.5
aaaa helppp :((((!!!!!!!!!!
Answer:
I am pretty sure it is the third one
Step-by-step explanation:
Answer:
yea for sure the third one
Step-by-step explanation:
Subtract and simplify. plz show all work!
(−5y^2 − 9y− 4) − (−2y^2 − y + 8)
6. Mr. Walthour is building a storage shed in a conical shape. The base of the shed is 4 meters in diameter and the height of the shed is 3.8 meters. What is the volume of the shed? Round to the nearest tenth. (Example 2)
I think it helps you..............
20 POINTS AND BRAINIEST!
You want to sell lemonade by the park. Different brands of lemonade have different formulas. You want to sell the lemonade that tastes the most “lemony.” You use 4 cups of lemon concentrate and 6 cups of water.
What fraction of the TOTAL mixture is lemon concentrate? What percentage is this?
Answer:
4/10
Step-by-step explanation:
you add the amount of cups of concentrated lemon plus the amount of water and it is 10. and then it asks for the faction of lemon concentrate out of 10. so it would be 4/10
Hope this helps!!
HELP DUE IN 10 MINS! Determine whether the triangle described is right, obtuse, or acute. Show work to justify your answer.
7, 10, 13
This triangle is a obtuse, acute, right triangle?? because blank number is equal to, greater than, or less than another number??
Select the correct answer.
What is the value of y?
A.3
B.8
C.4
D.16
The price of a book, which regularly sells for $24, was marked down by 25%. A coupon reduced the price by another 10%. What was the final selling price?
Answer:
$16.20
Step-by-step explanation:
24.00 × 25%= 6.00
24.00 - 6.00 = 18.00
18.00 × 10%=1.80
18.00 - 1.80 = 16.20
A percentage is a way to describe a part of a whole. The final cost of the book will be $16.2.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given the cost of the book is $24. Therefore, the cost of the book after a 25% discount is,
Cost of book after discount = $24×(100%-25%) = $18
Now, the cost after the 10% counpon will be,
Cost after the 10% counpon = $18×(100%-10%) = $16.2
Hence, the final cost of the book will be $16.2.
Learn more about Percentages:
https://brainly.com/question/6972121
#SPJ2
What is the value of the expression below when x=10x=10 and y=4y=4?
8x-7y
8x−7y
Answer:
Step-by-step explanation:
8(10) - 7(4)
8X10 - 7X4
80 - 28
52
O 91.7 miles
O 55.5 miles
O 41.7 miles
O 63.8 miles
Answer:
* 55.5 miles
Step-by-step explanation:
17² + b² = 23²
289 + b² = 529
b² = 240
b = 15.491 ≈ 15.5
17 + 23 + 15.5 = 55.5
You can also simply notice B is the only answer with a .5 decimal and thus don't have to add.
Help me please with this math question
Simplify
12d divided by 2
Answer:
6d
Step-by-step explanation:
Will give brainiest to correct answer
20a + 32
Answer:
wouldn't it just be the same? It would still be 20a+32
Answer:
4(5a+8)
Step-by-step explanation:
Factor 20a+32
20a+32
=4(5a+8)
What is the area of the trapezoid?
Answer:
108
Step-by-step explanation:
b1+b2/2×h
so 12+15/2×8
12+15=27
27÷2=13.5
13.5×8=108
108 is the answer
the tiles on cathy's bathroom floor are square shaped and each tile covers an area of 90 square inches. simplify an expression to represent the side length of each tile.
Answer:
[tex]\huge\boxed{\sf L = 3\sqrt{10} }[/tex]
Step-by-step explanation:
Area of a square tile = 90 square inches
Let the side length of tile be "L"
Condition:
Area = 90
L * L = 90
L² = 90
Taking sqrt on both sides
L = √90
L = 3√10
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Which expression is equivalent to (18x + 9k) + (2x + 6k)?
16 x + 3 k
20 x + 15 k
20 x + 16 k
36 x + 54 k
20x + 15k is the answer we just have to remove the bracket and add the terms
hope it helps
Answer:
20x + 15K
Step-by-step explanation:
just add like variables (x and Y)
And angle measures 54° more than the measure of its complementary angle what is the measure of each angle
A pet home owner wants to keep the ratio of cats to dogs at 3:5. She has 21 cats, how many dogs are there in the pet home?
35 dogs
Step-by-step explanation:
The ratio of cats to dogs can also be written as
3/5 = 21/x
x = 35
Simplify the Expression
What is the degree measure of
A
310
34
58
D
Answer:
34
Step-by-step explanation:
A triangle always has a sum of 180 degrees
First, let us find the right angle
180-149=31
Now find v
180=31+115+x
180-146=x
x=34