Answer:
378.33 minutes
Step-by-step explanation:
From the question, we're told that
Length of the side of the square, l = 4 m
Then the current volume of water = (4 m)³ = 64 m³3 = 64,000 Liters
64,000 + [∫(20 - t) dt from 0 to t] = 0, solving the integral, we have
20t - (t^2)/2 = -64,000, multiplying all by 2 so as to eliminate the fraction
40t - t^2 + 128,000 = 0
t^2 - 40t - 128,000 = 0, on solving the quadratic equation(using general formula), we find that
t = 378.33 minutes
Kaylen mixed two liquids for a science experiment. One container held 7/8 cup and the other held 9/10 cup. What is the total amount of the mixture?
Using the equation shown, which is the best estimate of x?
x2 = 315
a)between 17 and 18
b)between 53 and 54
c)between 78 and 79
d)between 157 and 158
Answer:
a)
Step-by-step explanation:
[tex]\sqrt{315}[/tex] is approximately 17.8
17² = 289
18² = 324
315 is between 289 and 324
The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a widespread number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given square roots,√315
The value of √91 is 17.74823935
The whole number less than 17.74823935 is 17 and greater than 17.74823935 is 18.
Thus, 17 < 17.74823935< 18
Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".
For more about the number system,
brainly.com/question/22046046
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Kris and Nathan put a down payment of 20% on the purchase of their house, and then financed
$150,000. What was the purchase price of the house
Answer: $187,500
Step-by-step explanation:
Let x = Purchasing price of house.
Given: Down payment = 20% of x
= 0.20x [20% = 0.20]
The amount financed = Purchasing price - Down payment
= x-0.20x
=(1-0.20)x
= 0.80x
As per given,
[tex]0.80x=150000\\\\\Rightarrow x=\dfrac{150000}{0.8}\\\\\Rightarrow\ x=\dfrac{1500000}{8}\\\\\Rightarrow\ x=187500[/tex]
Hence, the purchase price of the house =$187,500
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
[tex](x,y) = (1,-12)[/tex]
Step-by-step explanation:
Given
[tex]y = 6x - 18[/tex]
Required
Find a solution
To do this, we assume a value for x, then solve for y.
Let x = 1
Substitute 1 for x in [tex]y = 6x - 18[/tex]
[tex]y = 6*1 - 18[/tex]
[tex]y = 6 - 18[/tex]
[tex]y= -12[/tex]
Hence, a solution is:
[tex](x,y) = (1,-12)[/tex]
Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side KH.
Round your answer to the nearest tenth.
G
K
13
D
F
7
E
H
J
29.4
I
Answer:
[tex]KH = 55[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find KH
From the attachment:
[tex]GD = 13[/tex] [tex]DE = 7[/tex]
[tex]HI = 29.4[/tex]
To find KH, we make use of the following equivalent ratio:
[tex]GD : DE = KH : HI[/tex]
Substitute values for GD, DE and HI
[tex]13 : 7 = KH : 29.4[/tex]
Convert to fractions
[tex]\frac{13}{7} = \frac{KH}{29.4}[/tex]
Make KH the subject
[tex]KH = \frac{13}{7} * 29.4[/tex]
[tex]KH = \frac{13* 29.4}{7}[/tex]
[tex]KH = \frac{382.2}{7}[/tex]
[tex]KH = 54.6[/tex]
[tex]KH = 55[/tex] --- approximated
Look at the model below.
375
238
What equation is represented by this model, and what is the
value of c?
OA) C-238 = 375, C = 613
OB) 375 +238 = C, C = 613
Oc) 238 + C = 375, C = 137
OD 238 - C = 375, C = 137
Answer:
C
Step-by-step explanation:
c) 238 +C=375
or, C=375-238
or, C=137 answer
Answer:
The answer is C
Step-by-step explanation:
I got it right
what does 4f-2f + 3-f= equal
Answer:
f + 3
Step-by-step explanation:
Combine like-terms
4f - 2f - f +3
f + 3
Answer:
4f-2f+3-f
2f-f+3
f+3
f= -3
Step-by-step explanation:
Need help me please is math.
1 point
36. Colby put $100 in a savings account. The graph below shows how the amount will increase over the
next ten years. What does the y-intercept represent?
Answer
The amount in Colby's account per yer
Explanation
Refer to the left side of the graph. When looking for the y-intercept's units/other information, always review the left hand side of the graph as that will display the information of the vertical line, known as the y axis, where the y-intercept lies
Granny Smith is making strawberry jelly. She fills 6.5 ounce jars to give as gifts. Granny was able to fill 9.5 jars. How many ounces of strawberry jelly did Granny Smith make?
The dimensions of a rectangular building used to store tools for electrical lineman has a length of 12x + 24 feet and a width of 20x - 10 feet.
Write the expression that represents the area of the building, in terms of x.
Write the expression that represents the perimeter of the building, in terms of x.
If the perimeter is going to be 220 feet, what are the dimensions of the building
Answer:
a) Area = 2x^2 + 3x - 2
b) Perimeter = 64x + 28
c) Length = 60 feet and Width = 50 feet
Step-by-step explanation:
The computation is shown below:
Given that
length = 12x + 24 feet
And, the width be 20x - 10 feet
Now as we know that
Area of the rectangle = length × width
= (12x + 24) × (20x - 10)
= 12x (20x -10) + 24(20x - 10)
= 240x^2 - 120x + 480x - 240
= 240x^2 + 360x - 240
= 2x^2 + 3x - 2
Now for perimeter
As we know that
Perimeter of the rectangle = 2(Length + width)
= 2(12x + 24 + 20x - 10)
= 2(32x + 14)
= 64x + 28
In the case when the perimeter is 220
So,
220 = 64x + 28
64x = 220 - 28
64x = 192
x = 3
Now length is 12(3) + 24
= 36 + 24
= 60 feet
And, the width is
= 20(3) - 10
= 60 - 10
= 50 feet
Two angles are complementary. The measurement of ∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘. What are the measures of the two angles?
Answer:
Angle GHI measures 56º, and angle JKL measures 34º.
Step-by-step explanation:
Complementary Angles:
If two angles are complementary, the sum of their measures is 90º.
∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.
Since they are complementary:
[tex]5x + 6 + 3x + 4 = 90[/tex]
[tex]8x + 10 = 90[/tex]
[tex]8x = 90 - 10[/tex]
[tex]8x = 80[/tex]
[tex]x = \frac{80}{8}[/tex]
[tex]x = 10[/tex]
Measures:
GHI: 5*10 + 6 = 50 + 6 = 56º
JKL: 3*10 + 4 = 30 + 4 = 34º.
Angle GHI measures 56º, and angle JKL measures 34º.
The measures of the two angles are 56 and 34 degrees
The sum of complementary angles is 90degrees
Given the measurement:
GHI is (5x+6)∘ and;∠JKL measures (3x+4)Taking the sum and equating to 90 degrees
5x + 6 + 3x + 4 = 90
8x + 10 = 90
8x = 90 - 10
8x = 80
x = 10
∠GHI = 5(10) + 6
∠GHI = 56 degrees
∠JKL = 90 - 56
∠JKL = 34degrees
Hence the measures of the two angles are 56 and 34 degrees
Learn more on complementary angles here: https://brainly.com/question/20728641
Linda purchased 1½ pounds of potatoes on Friday and 2⅓ pounds of potatoes on Saturday. What was the total weight, in pounds, of potatoes purchased by Linda in the two-day period?
Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?
Answer:
The answer is after 3 weeks you will have the same amount of money
Step-by-step explanation:
5x + 20 = 10x +5
5x - 10x = 5 -20
-5x = -15
x = -15/-5
x = 3
Jan created a garden that was 8.5 yards long and 5.95 yards wide. What is the difference between the length and width of the garden? please dont take my points, actually answer the question.
Subtract the width from the length.
8.5 - 5.95 = 2.55 yards
can someone please help me?
Answer:
6
Step-by-step explanation:
PLEASE HELP ME ASAP!!!
Answer:
1.1r,-1r
2.-2x,5x
Step-by-step explanation:
i tgink tgis is what the answer os unless i am a doing the math wrong. so i hope im right and tgis helps
What is the value of the digit 4 in 1,601,403
Answer:
The value of 4 is 400
Step-by-step explanation:
Answer:
hundred
Step-by-step explanation:
How do you factor the polynomial 3x^2 + 8x^2 - x - 10 = 0?
Answer:
x = 1 and x = -10/11
Step-by-step explanation:
3x² + 8x² - x - 10 = 0
11x² - x - 10 = 0
(11x + 10)(x - 1) = 0
11x + 10 = 0
11x = -10
x = -10/11
x - 1 = 0
x = 1
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what size order is the cost per unit a minimum?
A) An order of 1 unit has a minimum cost per unit.
B) An order of 8 units has a minimum cost per unit.
C) An order of 80 units has a minimum cost per unit.
D) An order of 320 units has a minimum cost per unit.
Answer:
The minimum cost per unit is obtained for an order of 8 units.
Step-by-step explanation:
Since the total cost is modeled by;
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
Read the Instructions please I will mark
Answer:
The answer is 42
Step-by-step explanation:
6²= 36
3(3)=9
36+9×2/3 = 42
Because he likes chicken and candy 5x7=35 ,,,,
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 2 or King?
Answer:
0.1538
Step-by-step explanation:
There are 8 cards that are either 2s or Ks.
P(2 or K) = 8/52
P(2 or K) = 0.1538
HHHHHHEEEEEEEELLLLLLLLLLLLLLLLPPPPPPPPPPPPPP MMMMMMMMMMMMMMMEEEEEEEEEEEEEEEEE WILL GIVE BRAINLESSS
Answer: B. The x-Coordinate is Positive and the Y- Coordinate is Negative
Step-by-step explanation: Get a Coordinate Plane Picture with the Coordinates labeled for reference.
Plz helpppp I will give the brainliest help me plz
Answer:
36
Step-by-step explanation:
Let the original quantity of marbles of the bag be y.
[tex]\frac{2}{3} (\frac{1}{2} )y=12[/tex]
y=36
1) Can a line have a slope of 1.25? Exp
ill give brainliest
Triangle Sum Theorem CLASSWORK
Answer:
[tex]8x + 32 + 116 = 180 \\ 8x + 148 = 180 \\ 8x = 180 - 148 \\ 8x =32 \\ \boxed{x = 4}[/tex]
4 is the right answer.[tex](7x + 5) + 52 + 67 = 180 \\ 7x + 124 = 180 \\ 7x = 56 \\ \boxed{x = 8}[/tex]
8 is the right answer.Answer & Step-by-step explanation:
5). x = 4
6). x = 8
You can write in the comments if you want an explanation.
Hope this help ;)
Solve equation by using the quadratic formula.
[x^{2} + 4x = -4
a. x = -2
b. x = -4
c. x = -4, x = 4
d. x = 0, x = 4
45x - 18 factored i really need help
Simplify the term
(2w^-2)^3(8w^6)
Answer:
64
Step-by-step explanation:
Mr. Santor cuts 1/2 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/12
Step-by-step explanation:
1/2 multiplied by 1/6 equals 1/12