Answer:
[tex]Volume = 11488.21[/tex]
[tex]Area = 2461.76[/tex]
Step-by-step explanation:
Given
[tex]Radius, r = 14\ in[/tex]
Shape: Sphere
Solving (a): The Volume
This is calculated as:
[tex]Volume = \frac{4}{3}\pi r^3[/tex]
Take [tex]\pi[/tex] as 3.14 and substitute 14 for r
[tex]Volume = \frac{4}{3} * 3.14 * 14^3[/tex]
[tex]Volume = \frac{4}{3} * 3.14 * 2744[/tex]
[tex]Volume = \frac{4 * 3.14 * 2744}{3}[/tex]
[tex]Volume = \frac{34464.64}{3}[/tex]
[tex]Volume = 11488.21[/tex]
Solving (b): The Surface Area
This is calculated as follows:
[tex]Area = 4\pi r^2[/tex]
Take [tex]\pi[/tex] as 3.14 and substitute 14 for r
[tex]Area = 4 * 3.14 * 14^2[/tex]
[tex]Area = 4 * 3.14 * 196[/tex]
[tex]Area = 2461.76[/tex]
Write the linear function that corresponds to the values in the table below. (-4,10), (-3,6),(-2,2),(-1,-2)
Divide −9 by 27. Determine the correct sign of the quotient.
Step-by-step explanation:
[tex] - 9 \div 27 \\ = \frac{ - 9}{27} \\ = \frac{ - 1}{3} [/tex]
the correct sign for the quotient as indicated is negative.
Y
Which is the equation of the graphed line written in
standard form?
4
3
y = x
2
ox-3y = 0
5 -3 2-1
1
2
3
4
5
X
1 x - y = 0
2.
y = x
4
Answer:
C. x - y = 0
Step-by-step explanation:
First find write the equation in slope-intercept form, then rewrite to convert to standard form as Ax + By = C.
Equation in Slope-intercept form:
Find m and b
m = rise/run = 1/1 = 1
b = y-intercept = 0 (where the line intercepts the y-axis)
Substitute m = 1, and b = 0 into y = mx + b
Thus:
y = (1)(x) + 0
y = x
Rewrite to convert to standard form.
Thus, the equation in standard form would be:
x - y = 0
What are the two equations to set up to solve the equation |2x−3|=11
−2x−3=11 and 2x−3=−11−2x−3=11 and 2x−3=−11
2x+3=11 and 2x−3=−112x+3=11 and 2x−3=−11
2x−3=11 and 2x−3=−112x−3=11 and 2x−3=−11
2x+3=11 and 2x+3=−112x+3=11 and 2x+3=−11
A model rocket is launched with an initial upward velocity of 156ft/s . The rocket's height h (in feet) after seconds is given by the following. h= 156t-16t^2
The values of t for which the rocket's height is 60 feet are t = 0.40 and t = 9.35
How to determine the values of t for which the rocket's height is 60?The function is given as:
h = 156t - 16t^2
When the height is 60 feet, we have:
156t - 16t^2 = 60
Rewrite as:
16t^2 - 156t + 60 = 0
Divide through the equation by 4
4t^2 - 39t + 15 = 0
Next, we solve the equation using a graphing calculator
From the graphing calculator, we have:
t = 0.40 and t = 9.35
Hence, the values of t for which the rocket's height is 60 feet are t = 0.40 and t = 9.35
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A model rocket is launched with an initial upward velocity of 156ft/s . The rocket's height h (in feet) after seconds is given by the following. h= 156t-16t^2
Find all values of t for which the rocket's height is 60 feet
What is the area of `∆STR`?
A.30 square feet
B. 34.5 square feet
C. 57.5 square feet
D. 60 square feet
In 2006, a company had sales of $10 million. In 2011, sales were $12.5 million. Write a linear model that represents the company's sales as a function of the number of years since 2006. Use the model to predict the sales in 2021. Write the linear model in the Show Your Work window.
answer for brainleist ig
How many cubes will be needed to construct the 5th "building" in the same pattern?
A. 11
B. 12
C. 13
D. 14
E. 15
Answer:12
Step-by-step explanation:They are adding three box for every building so is the fifth block you do it
Suppose there are two types of tickets to a show: advance and same-day. Advance tickets cost $40 and same-day tickets cost $30. For one performance, there were 65 tickets in all, and the total amount paid for them was $2200. How many tickets of each type were sold?
Advance tickets: represented by x
Same-day tickets: represented by y
you can model this using a system of equations
x + y = 65
40x + 30y = 2200
then you have to get either the x or y value equivalent in both equations
40(x + y = 65)
40x + 40y = 2600
so the new equations are 40x + 40y = 2600 and 40x + 30y = 2200
then you can solve by using elimination
40x + 40y = 2600
-(40x + 30y = 2200)
10y = 400
y = 40
substitute y back into the first equation
x + 40 = 65
x = 25
The three angles in a triangle are in the ratio 1:3:5. Find the angles
Answer:
1:3:5
20:60:100
Step-by-step explanation:
angles in a triangle add up to 180
so we add 1,3 and 5 to get 9
to find out how much 1 part is worth we do 180÷9 to get 20
so 1 part=20
so we we do:
20x1=20
20x3=60
20x5=100
Answer:
30:60:100
Step-by-step explanation:
angles of triangle =180°
sum of ratios
1+3+5=9
finding for the first one which is one
1/9×180°=20°
finding for the second one which is three
3/9×180°=60°
finding for the third one which is five
5/9×180=100°
adding all the angles
20°+60°+100°=180°
Graph the solution set for the inequalíty
y> 2x-5 by following these steps:
Step 1: ldentify the slope and y-intercept.
slope = y-intercept =
Please help me
Answer:
Slope= 2
Y-intercept= -5
Step-by-step explanation:
This inequality is in slope-intercept form which means we can get both striaght from the inequaltiy. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this inequality m would be 2 and b would be -5, so those are your answers.
The music teacher asked his class to vote for their favorite instrument and created a pie chart to display the results.
There are 20 students in his class. Which statements are true? Check all that apply.
THE ANSWER IS B,D,E,F!!!!
Answer:
bdef
Step-by-step explanation:
Answer:
b= brains b= dad e= end f= fun
Step-by-step explanation:
I need help ASAP
A manufacturer can produce 1 plastic bowl in 1 minute
Which graph models a relationship with the same unit rate
Answer:
The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.
The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
A manufacturer can produce 1 plastic bowl in 1 minute
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the data given the equation can be framed:
The proportional relationship will be:
y ∝ x
y = kx
x = 1 y = 1
k = 1
y = x
Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.
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A bottle of water costs $1.48 at the local store. If Edwin buys 8 bottles of water, how much will he spend? *
Answer:
$11.84
Step-by-step explanation:
$1.48 x 8 = $11.84
Kelvin spends 14 of his $100 on a ticket to a play and then buys a shirt for $22.50. How much of the $100 does Kelvin have left?
Answer:
63.5 Dollars
Step-by-step explanation:
100 - 14 = 86 - 22.5 = 63.5 :D
which of the following scenarios could be modeled by the expression 3/2 divided by 1/4
Answer:
I believe C.
Explanation:
I am pretty sure it's C but I don't really see it too well so I can't read the top two the best.
PLEASE HELP ME I WILL GIVE YOU EXTRA POINTS.
Answer:irdk im aorry i wish i could help because im in the same boat.
Step-by-step explanation:
Answer:
The very last one is the correct answer.
Step-by-step explanation:
1 * 3 = 3
6 * 3 = 18
Do this for the other ones and you will get it right.
Desmond ordered his favourite pizza with 12 slices. Sadly, he could finish only %75 percent of the whole pizza.
How many pizza slices were left?
Answer:
3
Step-by-step explanation:
Left = 100% - 75% = 25%
No. of pizza slices left = 12 × 25%
= 12 × [tex]\frac{25}{100}[/tex]
= 3
The governor of state A earns $50,145 more than the governor of state B. If the total of their salaries is $295,595, find
the salaries of each.
Answers:
Governor of State A = $172,870
Governor of State B = $122,725
========================================
Work Shown:
A = B+50,145
A+B = 295,595
(B+50,145)+B = 295,595
2B+50,145 = 295,595
2B = 295,595-50,145
2B = 245,450
B = (245,450)/2
B = 122,725 ... salary for governor of state B
A = B+50,145
A = 122,725 + 50,145
A = 172,870 ..... salary for governor of state A
-------------
Check:
A+B = 172,870 + 122,725 = 295,595
So the answers are confirmed.
The equation y=6.88x-199 models the number of visitors at a pool,y, and the air temperature in degrees there are 426 visitors at the pool one hot day what is the expected air temperature on that da round your answer to the nearest degree
Answer:
[tex]\approx 91^\circ[/tex]
Step-by-step explanation:
The given equation to represent the model for the relationship between [tex]x[/tex] and [tex]y[/tex].
[tex]y=6.88x-199[/tex]
[tex]x[/tex] represents the air temperature in degrees and
[tex]y[/tex] represents the number of visitors at a pool.
Also given that number of visitors at the pool on a particular day is 426.
To find:
The expected air temperature as per the number of visitors.
Solution:
Here, we are given a linear equation to represent the relation between two variables.
Value of one variable is given and we have to find the value of other variable.
i.e. we are given that:
[tex]y=426[/tex] and we have to find the value of [tex]x[/tex].
Let us put the value in the equation:
[tex]426=6.88x-199\\\Rightarrow 6.88x = 426 + 199\\\Rightarrow x = \dfrac{625}{6.88}\\\Rightarrow \bold{x \approx 91^\circ}[/tex]
I will mark u the brainiest if you guys can help me plsss It is urgent
Lina and Morgan saved $2202 altogether. 1/4 of Lina's savings was $105 more than 1/5 of morgan's savings. How much was Lina's savings?
Answer:
486,732 I hope this helps
To find 1/8 ÷ 3/5 we use the reciprocal of?
Answer:
The reciprocal we use: [tex]\frac{5}{3}[/tex] ; Answer: [tex]\frac{5}{24}[/tex]
Step-by-step explanation:
The reason why we use this reciprocal is because we are dividing 3/5 from 1/8, so we have to use the reciprocal of the divisor instead. Next, we multiply the numerators and denominators and we get the product of 5/24 and since we cannot simplify further, this is the final answer.
Hope this helps! :D
Answer:
5/3
Step-by-step explanation:
A way I remembered how to divide fractions was stay (first fraction) change (division to multiplication) flip (the second fraction)
Every month, Veronica deposits $230 in an account with an interest rate of 6% compounded monthly. How much money will she have in the account at the end of the first 5 years? (Round to the nearest cent. Do not enter the $ sign.)
Answer:
Veronica will have $310.04 at the end of first five years.
Step-by-step explanation:
Principal Amount P = $230
Interest Rate r = 6%
Time t = 5 years
Compounded monthly n = 12
We need to find the future amount (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]
So, Veronica will have $310.04 at the end of first five years.
what is 2w - g- 7w + 3g =
Answer:
first collect the like terms:
2w- 7w -g+ 3g
Then subtract 2w with 7w
2w-7w=-5w
after you also subtract negative g with 3g
-g+3g= 2g
which makes the answer 5w + 2g
Misha solves the equation 3 x minus 2 (x + 3) = 4 (x minus 2) minus 7 by applying the distributive property to each side of the equation. The result is 3 x minus 2 x minus 6 = 4 x minus 8 minus 7. Misha then wants to combine like terms. Which are the terms Misha should combine? 3x – 2x and –8 – 7 3x – 2x and 8 – 7 3x – 2x + 4x and –6 – 8 – 7 3x – 2x – 6 and 4x – 8 – 7
Step-by-step explanation:
The given equation is : 3x-2(x+3)=4(x-2)-73x−2(x+3)=4(x−2)−7
On solving this equation and applying the distributive property, we have
⇒3x-2x-6=4x-8-73x−2x−6=4x−8−7
⇒x-6=4x-15x−6=4x−15
Combining the like terms like terms consisting of x are solved together and the constants are solved together,
⇒x-4x=-15+6x−4x=−15+6
⇒-3x=-9−3x=−9
⇒x=3x=3
Answer:
The answer is A. i just guessed and got it right
Step-by-step explanation:
correct on edge 2020
Complete the following sentence.
The main span of Bridge A (2700 feet) is
percent shorter than the main span of Bridge B (4300 feet).
Round to one decimal place
The main span of Bridge A (2700 feet) is 37. 2 % percent shorter than the main span of Bridge B (4300 feet).
The percentage distinction of any 2 numbers is that the worth of the magnitude relation of their distinction and their average increased by a hundred. The word % means that the a part of the amount a hundred. it's a fraction or a magnitude relation wherever the total worth is usually a hundred.
It is providing main span of Bridge A is at a 2700 feet and therefore the main span of Bridge B is at a 4300 feet.
Step 1: realize the distinction between the 2 numbers.
4300 - 2700 = 1600
Step 3: Take the magnitude relation of the distinction given by
1600 / 4300
Step 4: Multiply the fraction obtained by a hundred and modify your answer. 1600 / 4300 ×100
Percentage difference in span length :
= [(difference in span) / span of B] × 100%
= ( 1600 / 4300) ×100
= 37. 2 %
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There are 650 students in the graduating class at East Community College. Of these students, 48 percent plan to attend graduation and 44 percent don't plan to attend. The rest have not decided. How many students are not sure they will attend?
Quick teacher mean
Answer:
YOU CAN DO THIS ONE OF 1 OF 2 WAYS....
650 X .48= 312
650 X .44=286
312+286=598
650-598=52
OR FIGURE IT THIS WAY
.48+.44=.92
650 x .92= 598
650-598=52
What is the domain of the relation {(–2, 5), (0, 0), (3, –2), (4, 6)}
{–2, 0, 5, 6}
{–2, 0, 3, 4}
{–2, 0, 3, 4, 5, 6}
{–2}
Answer:
second option
Step-by-step explanation:
What is the result of isolating x² in the equation below?
(x+1)² + (y-8)² = 9
OA. x²=-y²-2x+16y-56
OB. x² = y² +2x+16y+56
C. x = -² -56
D. * = y² +56
The required result of the identity is [tex]x^{2} =-y^{2}-2x+16y-56[/tex].
To isolate the algebraic expression given below we need to simplify it and then make [tex]x^{2}[/tex] the subject of the equation,
For that we must know the identity [tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex].
We will break the given equation on the basis of the given identity.
Now, [tex](x+1)^{2} +(y-8)^{2}=9\\[/tex]
⇒[tex]x^{2} +2x+1+y^{2}-16y+64=9\\[/tex]
⇒ [tex]x^{2} =-y^{2}-2x+16y-56[/tex]
So, the required result of isolating the above given equation is as above.
The correct answer is option B.
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Find the value of x in the parallelogram below.
Answer:
129
Step-by-step explanation:
the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129