Answer:
36
Step-by-step explanation:
A hemispherical tank is filled with water and has a diameter of 14 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?
Answer:
[tex]44,826.72\ \text{pounds}[/tex]
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]
If water weighs 62.4 pounds per cubic foot, it means
[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]
So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].
whats 63/100-5/10? with an good 5th grade explanation
Answer: .13
Step-by-step explanation:
63/100=0.63
5/10=0.50
=.13
I took 63 and divided it by 100 to get .63 and took 5 and divided it by 10 to get .50 so I took them and subtracted them to get .13
Which equation is shown by the model?
Answer Asap please!
!!!!WILL MARK BRAINLIEST!!!!
Which equation best represents the relationship between x and y in the graph?
Answer:
A
Step-by-step explanation:
The y intercept of the graph is at -3, meaning it can only be A or B.
Now that we've narrowed it down, look at the slope. When it comes to slope, it is rise/run. Meaning that if the slope is -4/3, you would go from a point on the line, down 4 spaces and to the right 3 spaces. If that was the slope, your end point would still be on the line.
Let's use the y intercept of (0, -3) as our start point. if you go down 4 spaces and right 3, that leaves you at (3, -7). But that point doesn't fit the line, so that can't be your slope.
This means your slope is -3/4, which if you checkit, does match up to the graph. Meaning the answer is A.
y=0²-2x+4
pls find y
Solve the system of linear equations by elimination.
-y-10 = 6
5x +y = -10
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(65,−16)
Equation Form:
x=65,y=−16
Step-by-step explanation:
Hey there!
The solution to the given system is (0, -10)
To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:
5x - 10 = 6x - 10
Now solve.
Add "10" to both sides:
5x = 6x
Subtract "5x" from both sides
0 = x
Now, we plug in the solved "x" value in an equation to solve for "y".
5(0) + y = -10
y = -10
We now know that the solution to the given system is (0, -10)
Hope this helps! Have an amazing day, and remember, you've got this!!
(-6.5)
( 7, 5)
What is the slope
Answer:
m = 0
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]
Hope this helps
~Please ~ help ~ me ~ out ~ I ~ don't ~ understand ~ the ~ question ~ and ~ if ~ you ~ can ~ explain ~ it ~ please ~ explain ~ .~ ヽ(´ ~ `)/♡
A circular garden has a radius of 8 feet. What is the circumference of the garden?
I think its C, cause I said so.
Pls help it due ASAP
Please show workings also
.....
Answer: A
Step-by-step explanation:
The equation [tex]y=\frac{2}{3}x-1[/tex] is in slope-intercept form([tex]y=mx+b[/tex]). For a line to be parallel to another, it must have the same slope. The slope of the line given is 2/3. Thus, simply plug in 2/3 for the slope to get: [tex]y=\frac{2}{3} x+b[/tex]. Then, because the line passes through -6, 6, plug those values in for x and y, respectively. [tex]6=\frac{2}{3} *-6+b[/tex]
[tex]6=-4+b[/tex]
[tex]10=b[/tex]
Thus, the equation of the line is [tex]y = \frac{2}{3} x+10[/tex], or A
Hope it helps :D
I REALLY NEED HELP ON THIS!!! The graph below shows the amount of snowfall recorded in New York during that time. Write an equation to represent the relationship between amount of snow accumulated and time.
Answer:
Y=.5x
Step-by-step explanation:
For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps
Anne decided to build a fence around her 15 feet long flower bed. How many feet of fencing should she buy if the width of the flowerbed is 4/5 the length?
Answer:
[tex]54[/tex] feet
Step-by-step explanation:
Length of the flower bed [tex]=15[/tex] feet.
Width of the flower bed is [tex]\frac{4}{5}[/tex] the length.
So, width [tex]=\frac{4}{5}\times 15=4\times 3=12[/tex] feet.
To find the length of the fencing, we need to find the perimeter of the flower bed.
Perimeter of a rectangle [tex]=2(\textrm{length} + \textrm{width})[/tex]
So, perimeter of the flower bed [tex]=2(15+12)=2\times 27 = 54[/tex] feet.
Hence, [tex]54[/tex] feet of fencing is required for the flower bed.
Find the value of x in the following figure ( Please hurry)
Answer:
x=9
Step-by-step explanation:
2x+12=5x-15
3x=27
x=9
Answer:
the value of X in the figure is 0 I think
I REALLY NEED HELP!!!! Determine how far the intersection of Oak Street and New Street will be from the intersection of Main Street and New Street.
Answer:
2 = 3.5 0.=3.2
Step-by-step explanation:
hope it helps
14) Find the slope of the line containing the points (5, 3) and (-7, 2).
A. −52
B. 112
C. -4
D. 12
Answer:
1/12
Step-by-step explanation:
Step one:
given data
the line containing the points (5, 3) and (-7, 2).
x1= 5
y1= 3
x2= -7
y2=2
Step two:
The slope is given as
Slope= y2-y1/x2-x1
substitute
Slope= 2-3/-7-5
Slope= -1/-12
Slope = 1/12
Divide £320 in the ratio 3:5
Answer:
£120 : £200
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 = 8 parts
Divide the amount by 8 to find the value of one part
£320 ÷ 8 = £40 , then
3 parts = 3 × £40 = £120
5 parts = 5 × £40 = £200
Then £320 in the ratio 3 : 5 is £120 : £200
The division of £320 in the ratio of 3: 5 is £120: £200.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the amount of £320
Now,
The ratio is 3: 5 so divide 320 by 3 + 5 to find the per unit ratio value.
So,
320/8 = 40
Now,
Multiply by 3 ⇒ 3 × 40 = 120
Multiply by 5 ⇒ 5 × 40 = 200
So ratio 120/200 = £120: £200.
Hence "The division of £320 in the ratio of 3: 5 is £120: £200".
To learn more about the arithmetic operators,
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He signed a promissory note with a term of three years the principal was $12,800 with interest at 12.5% how much did BP pay in interest on the note and on the maturity date how much did bo4 principal
Answer:
$48,000
Step-by-step explanation:
Step one:
given data
Principal= $12,800
rate= 12.5%
time = 3 years
Required
The Interest
Step two
SImple interest= PRT/100
substitute
SI= 12800*12.5*3/100
SI=480000/100
SI=$48,000
Which of the following pairs are NOT equivalent statements?
In x = y and x = e^y
log⬇️p N = b and b^p = N
x = sqrt y and x = y^1/2
log⬇️b N = p and B^p = N
Answer:
the answer is b
Step-by-step explanation:
bc they are not both equivalent.
The pair (B) is not equivalent after using the property of logarithm option (B) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
It is given that:
The expression is given in the options.
As we know, the expression can be defined as the combination of constants and variables with mathematical operators.
It is required to find the equivalent pairs:
A) In(x) = y and [tex]\rm x = e^y[/tex]
As we know from the log property:
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are equivalent.
B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]
Again using the log property:
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are not equivalent.
C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]
Using the property of exponent we can write the above expression:
The pairs are equivalent.
D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are equivalent.
Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.
Learn more about the Logarithm here:
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fivestar farm purchased 2400 apple trees. If 80 trees can be planted on each acre of land, how many acres will be needed to plant all the trees?
Answer:
30
Step-by-step explanation:
To find the answer you would need to do 2400 divided by 80 which = 30
Hope this helped :)
Find the length of the segment with the end points (4,-3) and (7, 1) distance bridge math
Find the measure of
Answer:
134
Step-by-step explanation:
You must add the angles together:
67+67=134
Answer:
134
Step-by-step explanation:
If a bicyclist, with an initial velocity of zero, steadily gained speed until reaching a final velocity of 13m/s, how far would she travel during this race?
Answer:
The distance travel during race is 13 m
Step-by-step explanation:
PLEASE HELP!! I just need help with b-d!
Answer:
b) The slope of line is 20
c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
d) i) she would have travelled 1480 m after 74 s
ii) It will take 125 s to travel 2.5 km
Step-by-step explanation:
Part b: Slope of Line
Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we can take any two points and find the slope.
Looking at the graph, the time is x-axis and distance is y-axis
Let we take (0,0) and (8,160)
So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]
Now finding Slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]
So, the slope of line is 20
Part c) Find the equation in slope-intercept form
The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
We have found slope, m = 20
We need to find y-intercept.
y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:
So, when x =0, y=0
So, y-intercept = 0
The equation will be:
[tex]y=mx+b\\y=20x+0\\y=20x[/tex]
The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
Part d)
Part i) How far will she have travelled after 74 s
We are given time (x) = 74 s
We need to find distance i.e. y:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Put x = 74
[tex]y=20x\\y=20(74)\\y=1480[/tex]
So, she would have travelled 1480 m after 74 s
Part ii) How long will it take to travel 2.5 km
We are given distance (y) = 2.5 km
We need to find time i.e. x:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Since distance is given in meters but here it is in km
So converting 2.5 km into m
We know that 1 km = 1000m
So, 2.5 km = 2500 m
Now finding time:
[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]
So, It will take 125 s to travel 2.5 km
The graph shows Victor's math scores versus the number of hours he studies: A graph titled Victors Math Scores shows Hours of Practice in a Week on x axis and Math Scores on y axis. The x axis scale is shown from 0 to 5 at increments of 1, and the y axis scale is shown from 0 to 50 at increments of 5.The ordered pairs 0, 5 and 0.5, 10 and 1, 16 and 1.5, 20 and 2, 27 and 2.5, 28 and 3, 35 and 3.5, 34 and 4, 44 and 4.5, 44 and 5, 48 are shown on the graph. A straight line joins the ordered pairs 0, 5 and 5, 50. What will Victor's math scores most likely be if he spends 7 hours a week studying math? 58 points 62 points 68 points 72 points
Answer:
68
Step-by-step explanation:
Because it's going up 15 every 2 hours so it would go from 50 to about 65 so 68.
Find the value of x in the shape below.
Answer:
30 degrees
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
30
Step-by-step explanation:
i will give you brainliest if u are right help asap
Answer:
a) 94°
Step-by-step explanation:
shape is a 5-sided polygon, known as a pentagon
number of degrees inside can be found by taking the number of sides (5), deducting 2 (3) and then multiplying by 180°.
Therefore there are 540° altogether.
add all like terms for all five angles: 24x - 12 = 540
24x = 552
x = 23
m∡P = 4(23) = 2
= 92 + 2
= 94°
not going to give away how much points im giving because le point theifs might come but please assist me.
((B.TW the horizantal line is always labeled offense
Answer:
Its the First One
Step-by-step explanation:
For every 2 offense cards, he owns 4 defense cards. The first graph is correct.
Brainliest are appreciated :)
PLEASE HELP!!
what will happen to the graph of the line y= 3/4x -7 if you change 3/4 to -3/4?
a) the line will intersect
b) the slope of the line will change from positive to negative
c) (4,-4) will become a point on the line
d) the y-intercept will change from negative to positive
Answer:
B choice
Step-by-step explanation:
[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.
Answer: b) the slope of the line will change from positive to negative
0.75(8+e)=2-1.25e
Solve for e please
Answer:
12 1314
Step-by-step explanation:
i guess this should be the abswer
Answer: e = -2
Step-by-step explanation:
first, i removed the parentheses.
6 + 0.75e = 2 - 1.25e
then, i moved the terms.
0.75 e + 1.25e = 2 - 6
next, i collected the like terms and calculated them.
2e = -4
finally, i divided both sides.
e = -2
Triangle DAC is isosceles with congruent sides AD and AC. Which additional
given information is sufficient for showing that triangle DBC is isosceles?
Select all that apply.
Answer:
A, C, E
Step-by-step explanation:
Welcome :)
Byron earned some money mowing the neighbor's lawn. He spent one-fourth of his money to see a movie. Then he spent $6.00 on popcorn and drinks. When he went home, he had $24.00 left. How much did Byron earn mowing the neighbor's lawn? Byron earned $ .00 mowing the neighbor's lawn.
Answer:
$40
Step-by-step explanation:
Let y represent the amount of money that Byron earned mowing the neigbours's lawn.
Since he spent one fourth of his money to see a movie, it means that the amount spent to see a movie would be y/4
Them he spent $6 on porpcon and drinks; which means that the total amount spent
= y/4 + 6
The amount left would be
y - (y/4 + 6) = y - y/4 - 6
When he went home, he had $24.00 left which means that;
y - y/4 - 6 = 24
y - y/4 = 24 + 6
3y/4 = 30
Cross multiply
3y = 120
y = $40
Therefore, Byron earned $40 mowing the neighbour's lawn.
Answer:
40 give him brainliest
Step-by-step explanation: