Answer:
40 gal / 72 gal
lets reduce
20 / 36
(yeah, the gal reduce away as well)
reduce further
10/18
and further
5/9
done :)
what is the value of my in 7=1/4m?
Step-by-step explanation:
m is
[tex] \frac{1}{28} [/tex]
arithmetic progression
Answer: ar·ith·met·ic pro·gres·sion
/ˌeriTHˌmedik prəˈɡreSH(ə)n/
noun
a sequence of numbers in which each differs from the preceding by a constant quantity (e.g., 3, 6, 9, 12, etc.; 9, 7, 5, 3, etc.).
the relationship between numbers in an arithmetic progression.
"the numbers are in arithmetic progression"
Step-by-step explanation:
Chandni compares two cylinders. Both cylinders have an identical base. The first cylinder has a height of 4 inches and a volume of 120 cubic inches. The second cylinder has a height of 7 inches. What is the volume, in cubic inches, of the second cylinder?
Answer:
33 Cubic inches
Step-by-step explanation:
The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Chandni compares two cylinders. Both cylinders have an identical base.
Now, The first cylinder has a height of 4 inches and a volume of 120 cubic inches.
And, The second cylinder has a height of 7 inches.
Let the volume, in cubic inches, of the second cylinder is, x
Hence, We can formulate;
120 / 4 = x / 7
⇒ 120 × 7 = 4x
⇒ 4x = 840
⇒ x = 210 inches³
Thus, The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
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PLEASE HELP! So for this problem I tried multiplying, adding, using square roots, however, my answers were all wrong. How do I solve this problem?
9514 1404 393
Answer:
384 square yards
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW . . . . . where L and W stand for Length and Width
Using the given dimensions, you find the area to be ...
A = (24 yd)(16 yd) = 24×16 yd² = 384 yd²
The area of the figure is 384 square yards.
Two planes, which are 3740 miles apart, fly towards eah other. Their speeds diifer by 35 miles per hour. If they pass eah other in 4 hours what is the speed of each.
Answer:
In 4 hours they flew a combined 3740/4 = 935mph or 467.5mph each. +/- 17.5 to this number,
485mph & 450mph are their speeds.
Step-by-step explanation:
I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
Can someone please help me
Step-by-step explanation:
For y=g(x) and y = f(x), we can set f(x) = g(x) and go from there.
[tex]4(2)^{-x} +3 = 8-2^{x}\\4 (2)^{-x} - 5 = -2^{x}\\[/tex]
Here, we simply subtracted 8 from both sides
Next, we can substitute u in for 2^x to get
4 * (1/u) - 5 = -u
4/u - 5 = -u
Multiply both sides by u
4 - 5u = -u²
Add u² to both sides
u² -5u +4 = 0
Factor
(u-4)(u-1) = 0
We now know that our solutions to this are u = 4 and u = 1, so we must figure out when 2^x = 4 and 2^x = 1. We can then figure out that 2² = 4 and 2^0 = 1, so our answers are 2 and 0 for the second question.
For the first, we can simply plug 2 and 0 into f(x) to get (2,4) and (2,7) as our answers
pls help oooooooooooooopoo
9514 1404 393
Answer:
140°
Step-by-step explanation:
Angles 1 and 3 are "corresponding" angles, so are congruent.
∠1 = ∠3
20x +60 = 30x +20
40 = 10x . . . . . . . . . . . . subtract 20x+20
4 = x . . . . . . . . . . . . . . divide by 10
∠1 = 20x +60 = 20(4) +60 = 80 +60
∠1 = 140°
Answer:
140°
Step-by-step explanation:
Angle 1 and angle 3 are corresponding angles ;
Corresponding angles are equal ;
Hence,
Angle 1 = Angle 3
20x + 60 = 30x + 20
Collect like terms
20x - 30x = 20 - 60
-10x = - 40
x = 4
Angle 1 is thus :
20x + 60 ; x = 4
20(4) + 60
80 + 60
= 140°
In the diagram below, m_MON = 1249, m _ MOP = 2x + 1, and m2 NOP = 2x
+1. What are the exact measures of the angles?
N
A. m2 MOP= 62
m2 NOP = 62
B. m2 MOP = 61
m 2 NOP = 61
C. m MOP = 48
m2 NOP = 72
D. m2 MOP = 122
m 2 NOP = 122
Answer:
The answer is below
Step-by-step explanation:
The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.
Therefore:
∠MON = ∠MOP + ∠NOP (angle addition postulate)
Substituting values gives:
124 = (2x + 1) + (2x + 1)
124 = 2x + 2x + 1 + 1
124 = 4x + 2
subtracting 2 from both sides of the equation:
124 - 2 = 4x + 2 - 2
4x = 122
Dividing through by 4:
4x / 4 = 122 / 4
x = 30.5
Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°
∠MOP = 62°, ∠NOP = 62°
can a circular tabletop with diameter 2.7 meters long fit through a doorway 2.5 meters high and 1 meter wide why or why not
A health food store was charging $5.40 for a small salad but raised the price 8%. The new price after the increase is $5.83.
Enter an expression to show how the new price was calculated.
Answer:
[tex]\frac{8}{100}[/tex]×5.40
Step-by-step explanation:
Please help me I beg you, I don’t understand and no one wants to help
Answers:
x = 51
y = 39
===========================================================
Explanation:
The angles 39 and x form a right angle, aka 90 degree angle. This is shown by the small square angle marker.
One equation to solve is x+39 = 90. Doing so leads to x = 51 after subtracting 39 from both sides.
Similarly, another equation to solve is x+y = 90. Plug in x = 51 and isolate y
x+y = 90
51+y = 90
y = 90-51
y = 39
PLEASE PLEASE HELP IM RLLY STRUGGLING HERE
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Answer:
Answer: the equivalent form of 6(2x+3x+10) are 12x+18x + 60 and 30x+60.
Step-by-step explanation: Create a factorable polynomial with a GCF of 6. GCF is 6. ...
12x+18x + 60 is one of the equivalent form of 6(2x+3x+10) To get another equivalent form we combine like terms. ...
30x + 60 is the equivalent form of 6(2x+3x+10)
Step-by-step explanation:
hope it's helpful to you, please mark me brainliest
Please help me asap
Correct Work
-2(7+x) - 4(9-x)
-14- 2x -36 + 4x
-2x+4x-14-36
2x-50
Mistakes made
The likes terms weren't combined -6x was incorrect. -2x+4x = 2, when adding negative and positive numbers you subtract, the sign takes the number with the larger value which is +4 so the answer should be positive +If the sun is 67° above the horizon, find the length of the shadow cast by a building 61 ft tall. Round your answer to the nearest tenth. (plz help I list brainlist)
Answer:
25.9 ft
Step-by-step explanation:
tan = opp/adj
tan67 = 61 / adj
adj = 61/tan67
use calculator
adj = 25.892963788785889
Rounded
25.9 ft
Solve for x. Assume that lines which appear tangent are tangent. Help!!!
Answer:
x = 0
Step-by-step explanation:
From the intersecting secants theorem, If from an exterior point, we draw two secant segments to a circle, then the product of the length of one secant segment and its external secant part will be equal to the product of the length of the other secant segment and its external secant portion.
Thus, applying it to this question;
(x + 27 + 48) × (x + 27) = (x + 45)²
(x + 75)(x + 27) = x² + 90x + 2025
x² + 102x + 2025 = x² + 90x + 2025
Like terms will cancel put to give;
102x - 90x = 0
12x = 0
x = 0/12
x = 0
Helppp algebra!!!!!!!20 points!!!!!!!
Answer:
B
Step-by-step explanation:
it's more like 10 points
Answer:
B.
Step-by-step explanation:
Don't worry!
Which of the following statements represents a valid argument?
lf a- b and b — c. then a — C.
lf a- b and a — c. then c - b.
lf a - b and a - c. then a - b + c.
lf a- b and a - c. then b— C.
I think of a number, subtract 2 to and multiply it by 5. This gives me the same answer as when I take 7 from the number and treble it. What is my number?
Answer:
The number is 0.75
Step-by-step explanation:
Analyze the question one statement at a time:
Let the number be [tex]x[/tex]
Subtract 2; [tex]x - 2[/tex]
Multiply by 5: [tex](x - 2) * 5[/tex]
The result equals [tex]x - 7[/tex]
Required
Find the number (x)
The equation to work with is:
[tex](x - 2) * 5 = x - 7[/tex]
Open bracket
[tex]5x - 10 = x - 7[/tex]
Collect like terms
[tex]5x - x = 10 - 7[/tex]
[tex]4x = 3[/tex]
Divide both sides by 4
[tex]x = \frac{3}{4}[/tex]
[tex]x = 0.75[/tex]
choose the best selection for the quadrilateral with vertices at the following points: (-3,0), (3-, -3), (0, -3), (0,0)
Answer:
B. Square
Step-by-step explanation:
As x approaches positive infinity, which of the following describes the end behavior for
g(x) = -x^6 + bx^4 + c
a. f(x) approaches c
b. f(x) approaches 0
c. f(x) approaches positive infinity
d. f(x) approachesnegative infinity
Answer:
c. hope helpful answer to your question
Question 2
Suppose you put $5,000 in a savings account with an annual interest rate of 3%
compounded monthly for three years. What is the future value of this investment?
$5,280
$5,440
$5,470
$5,415
Answer:
5470
Step-by-step explanation:
[tex]5000(1+\frac{.03}{12})^{12*3}=5470.257[/tex]
The future value of the investment in the savings account with montly compounding is $5470.
What is the future value?When an investment is compouded monthly, it means that it increases in value every month.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate = 3%/12 m = number of compounding = 12 N = number of years5000 x ( 1.0025)^36 = $5470
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Which statement is true?
Question 16 options:
A)
–|–45| = 45 and –|–96| = –96.
B)
|–45| = –45 and |–96| = –96.
C)
|–45| = 45 and |–96| = 96.
D)
|–45| = 45 and |–96| = –96
Answer:
I think D is the answer
Can you please give me Brainliest answer plz
Answer:
C is the correct answer.
The sound level of a jet plane is approximately 140 dB. The intensity of the sound of a jet plane is approximately
.
Answer:
280 DB
Step-by-step explanation:
If the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB
What is sound level?Sound level is the intensity to measure the sound. Decibels are used to quantify sound levels.
The sound level of a jet plane is expressed according to the expression given:
β = 10log(I/I0)
Given the following parameters
β = 140dB
I0 = 10^-12 W/m²
For required Intensity "I" Substitute:-
140 =10log(I/10^-12)
14 = log(I/10^-12)
10^14 = I/10^-12
I = 10^14 * 10^-12
I = 10^2
I = 100dB
Hence if the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB
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Help... do I add or divide?
he owner of a local supermarket wants to estimate the difference between the average number of gallons of milk sold per day on weekdays and weekends. The owner samples 5 weekdays and finds an average of 259.23 gallons of milk sold on those days with a standard deviation of 34.713. 10 (total) Saturdays and Sundays are sampled and the average number of gallons sold is 365.12 with a standard deviation of 48.297. Construct a 90% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.
Answer:
90% confidence interval is ( -149.114, -62.666 )
Step-by-step explanation:
Given the data in the question;
Sample 1 Sample 2
x"₁ = 259.23 x"₂ = 365.12
s₁ = 34.713 s₂ = 48.297
n₁ = 5 n₂ = 10
With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }
significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1
Since we are to assume that variance are equal and they are know, we will use pooled variance;
Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13
Now, pooled estimate of variance will be;
[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]
we substitute
[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]
[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [ 4 + 9 ]
[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [ 13 ]
[tex]S_p^2[/tex] = 25813.3692 / 13
[tex]S_p^2[/tex] = 1985.64378
Now the Standard Error will be;
[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]
[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]
[tex]S_{x1-x2[/tex] = √595.693134
[tex]S_{x1-x2[/tex] = 24.4068
Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771 { t-table }
So,
Margin of Error E = [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
Margin of Error E = 1.771 × 24.4068
Margin of Error E = 43.224
Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89
So, Limits of 90% CI will be; x₁ - x₂ ± E
Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114
Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666
Therefore, 90% confidence interval is ( -149.114, -62.666 )
If a seed is planted, it has a 75% chance of growing into a healthy plant.
If 6 seeds are planted, what is the probability that exactly 4 don't grow?
Answer:
It is binomial:
p= 0.75 = 75%
1-p = 0.25 = 25%
N = 10
k=7
"seven successes in 10 trials"
(10 choose 7) (0.75)^7 ( 0.25)^3 =
(10*9*8 / 3*2) * (0.75)^7 ( 0.25)^3 =
(5*3*8) (0.75)^7 ( 0.25)^3
120 (0.75)^7 ( 0.25)^3
= 0.25028228759765625
or just over 25%
Step-by-step explanation:
The discriminant of a quadratic equation is the value b2 – 4ac. What is the value of the discriminant of 0 = –2x2 + 6x + 13?
Answer ; D = 140...............
Discriminant form:
ax2+bx=c=0
-2x2+6x=13=0
DISCRIMINANT:
-b+4ac
-6+4(-2)(-13)=-6+4(26)=-6+30=24
Now for the x's:
x1=[tex]-b+\sqrt{x} /2a[/tex]
x2=[tex]-b-\sqrt{x} /2a[/tex]
2. Find the mean number of tornadoes
per year.
Basically i need to find the median of one number. Does anyone know the median of 44? Thx
math
A hemispherical tank is filled with water and has a diameter of 4 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
9514 1404 393
Answer:
1046 pounds
Step-by-step explanation:
The volume of the hemisphere is given by the formula ...
V = 2/3πr³
where r is the radius, or half the diameter.
The radius is (4 ft)/2 = 2 ft, so the volume of the tank is ...
V = (2/3)π(2 ft)³ = 16/3π ft³ ≈ 16.755 ft³
Then the weight of the water in the tank is ...
(16.755 ft³)(62.4 lb/ft³) ≈ 1045.52 lb
The total weight of the water is about 1046 pounds.
The volume v (in cubic feet) of a right cylinder with a height of 5 feet and radius r (in feet) is given by V=5pie r ^2
Answer:
Correct
Step-by-step explanation:
