d
Step-by-step explanation:
s=(axh)/2
Answer:
90 sq.unitsStep-by-step explanation:
1/2 base times height.
The volume of a sphere is 5,572.45 ft To the nearest foot what is the radius of the sphere? Use 3.14 for .
Answer: [tex]11\ ft[/tex]
Step-by-step explanation:
Given
The volume of a sphere is [tex]5572.45\ ft^3[/tex]
The volume of sphere with radius r is given by
[tex]\Rightarrow \dfrac{4\pi r^3}{3}[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft[/tex]
Therefore, the radius is [tex]11\ ft[/tex]
What is the average rate of change for this quadratic function for the interval
from x = 1 to x = 3?
O A. -8
B.-4
O O
C. 8
O D. 4
==========================================================
Explanation:
The table says that when x = 1, the output is y = -2.
So the point (1, -2) is on the parabola.
The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.
Find the slope of the line through those two points. The slope here is the same as the average rate of change.
m = (y2 - y1)/(x2 - x1)
m = (-10 - (-2))/(3 - 1)
m = (-10 + 2)/(3 - 1)
m = -8/2
m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.
suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph?
A (7, 4)
B (7, 12)
C (-5, 4)
D(-5, -12)
============================================
Explanation:
Use the slope and given point to find the y intercept
y = mx+b
8 = (-2/3)*(1) + b
8 = -2/3 + b
8 + 2/3 = b
24/3 + 2/3 = b
26/3 = b
b = 26/3
The equation of the line is y = (-2/3)x + 26/3
To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)
y = (-2/3)x + 26/3
y = (-2/3)*1 + 26/3
y = -2/3 + 26/3
y = (-2+26)/3
y = 24/3
y = 8
So that verifies we have the correct equation.
--------------
Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.
If we try x = 7, then,
y = (-2/3)x + 26/3
y = (-2/3)(7) + 26/3
y = -14/3 + 26/3
y = (-14+26)/3
y = 12/3
y = 4
This shows that (7,4) is on the line. Choice A is the answer
That rules out choice B.
----------------
If we tried x = -5, then,
y = (-2/3)x + 26/3
y = (-2/3)(-5) + 26/3
y = 10/3 + 26/3
y = 36/3
y = 12
meaning that (-5,12) is on the line. That rules out choices C and D.
Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.
4(x-5)=3x+7 how many solutions are there
Answer:
1
Step-by-step explanation:
4(x-5) = 3x+7
4x - 20 = 3x +7
4x - 3x =20 + 7
x=27
Answer:
27
Step-by-step explanation:
Pls help and give me right anwser
Answer:
Step-by-step explanation:
s+1+2s-1+90=180 degree(being linear pair)
3s+90=180
3s=180-90
s=90/3
s=30 degree
Answer:
s = 30
Step-by-step explanation:
the total angle is a straight angle that's composed of a right angle and 2 unknown angles.
straight angle = 180°right angle = 90°
(s + 1) + 90 + (2s- 1) = 180
s + 2s + 90 + 1 - 1 = 180
3s = 180 - 90
3s = 90
s = 90/ 3
s = 30
What is the measure of the missing angle?)
Please explain how u got the answer so I can learn
Step-by-step explanation:
let x be the another angle
so
x+40=90
x=90-40
x=50
The measure of missing angle is 50
hope it helps
Please type up your word problem in the box below and then solve it in your notebook so that you have an answer key for your word problem ready for when you share it with the class to check their answers.
A university class has had 9 undergraduate students enroll so far, as well as 9 other students. What is the experimental probability that the next student to enroll will be an undergraduate student?
Answer:
1/2 or 50%
Step-by-step explanation:
good
I NEED HELP ASAP!!!
A laptop has a listed price of $891.99 before tax. If the sales tax rate is 9.25%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Please explain to me.
Answer:
$974.50
Step-by-step explanation:
The sales tax is 0.0925($891.99), or $82.51. We need only add this amount to the listed price ($891.99) to find the total cost with sales tax included:
$891.99
+ 82.51
--------------
$974.50
An alternative approach would be to multiply the listed price by 1.0925:
1.0925($891.99) = $974.50
Here the '1' refers to the listed price and the '0.0925' to the sales tax.
Which is true about the functional relationship shown in the graph?
Cost of Apples
AY
110
100
90
80
Cost ($)
50
an
2
20
10
0
Weight (pounds)
how deep is the ocean
Answer:
On average 2.3 miles deep or 12,144 feet
The max depth in the Pacific ocean has been recorded at 36,161 feet.
Pre-calc, image attached
Answer:
[tex]\lim_{x \to \(-1} f(x)=-2[/tex]
Step-by-step explanation:
In order for a limit to exist in a piecewise function, both its right-side and left-side limits must be equal to each other:
So, if we plug in x=-1 for the left side limit, we get 2cos(πx) = 2cos(π(-1)) = 2cos(-π) = 2(-1) = -2Plugging in x=-1 for the right-side limit, we get 2/cos(πx) = 2/cos(π(-1)) = 2/cos(-π) = 2/(-1) = -2Since both the right-side and left-side limits are equal to each other, we can say that the limit of f(x) as x approaches -1 is -2, therefore the limit existsSee the attached graphCan you explain how you answered it thank you!
x=
y=
Answer:
x = 1.5 or 1 1/2
y = 8
Step-by-step explanation:
Solving for x:
2x + 1/2 y = 7
6x - 1/2y = 5
Add both equations:
2x + 1/2 y + 6x - 1/2y = 7 + 5
8x = 12
x = 1 1/2
Solving for y:
2x + 1/2y = 7
We know x, so lets input
2(1.5) + 1/2y = 7
3 + .5y = 7
0.5y = 4
y = 4*2
y = 8
Check with the other equation
6x - .5y = 5
6(1.5) - 0.5y = 5
9 - 0.5y = 5
0.5y = 9 - 5
0.5y = 4
y = 4 * 2
y = 8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Suzanne has one 10p coin one 50p coin and some 20p coins altogether she has £1.40 how many 20p coins does she have
Answer:
She has FOUR 20p coins altogether.
Step-by-step explanation:
1.40-0.10-0.50=0.8
0.8/0.2=4
Chen is playing a game that requires each player to spin an arrow to one of four colors, equally divided: green, orange, purple, or yellow.
Four players before Chen spun the arrow to purple, but Chen really wants her arrow to land on green. How is the probability of Chen’s spin affected by the spins of previous players?
Chen's probability of landing on purple is increased because the previous players all landed on green.
Chen's chances of landing on purple are not affected by the other players landing on green.
Chen's probability of landing on purple is decreased because the previous players all landed on green.
Answer:
1/4
Step-by-step explanation:
They are equally divided and there are a total 4 sections.
To find probability for yellow:
Numerator : how many yellows sections there are
Denominator : total sections there are
Therefore, the probability would be 1 in 4 chances.
Answer:
it's the 3 one
Step-by-step explanation:
shdddjdjdjdjdjdos
What is the answer to 1.) 2.)3.)4.)
Answer:
1. the coefficient is 8
2. the coefficient is 3
3. the coefficient is 1
4. the coefficient is 14
Callum wins £300 in a raffle .
He gives 5% of the 300 to charity
He uses the rest to buy clothes .
Work out how much money he spent on clothes
Answer:
5/100 x 300=15
300-15=285
Hello there! Please answer this question for me please. Brainliest and 35 points!
What is the area of figure ABCD?
A
104 square inches
B
120 square inches
C
136 square inches
D
168 square inches
Answer:
That's a Trapezium
Area =½( A + B)x H
A and B are the top and bottom of the shape.
H is the height.
Substituting...
Area = ½(13+17)8
=120 Square Inches
Answer:
B. 120 in.²
Step-by-step explanation:
13 × 8 = 104 in.²
17 - 13 = 4
4 × 8 = 32
32 ÷ 2 = 16
16 in.² + 104 in.²
120 in.²
CAN SOMEONE PLEASE HELP ME AND SOLVE THE PROBLEM STEP BY STEP IF IT WAS DONE CORRECTLY I WIL PUT U AS BRANLIEST THANK YOU!!!
Answer: (5,3)
Step-by-step explanation:
y=x^2-10x+28
Complete the square.
y=(x-5)^2+3
Use the vertex form, y=a(x-h)^2+k to find the values of a, h, and k.
a=1
h=5
k=3
Find the vertex (h, k).
(5, 3)
Pre-calc, Review the table of values for function g(x). Which statement correctly explains whether Limit of g (x) as x approaches 3 exists? (image attached)
Answer:
[tex]\lim_{x \to 3} g(x) = DNE[/tex]
Step-by-step explanation:
Observations:
As x approaches 3 from the left side, f(x) approaches -1.6 As x approaches 3 from the right side, f(x) approaches 1.6Conclusion:
Because the right and left-side limits are not equal to each other, the limit does not existTherefore, [tex]\lim_{x \to 3} g(x) = DNE[/tex]Answer:
A.
Step-by-step explanation:
Got it right
Using the graph, determine the
coordinates of the vertex of the parabola.
Y
10
9
8
6
5
4
3
2
1
X
-10 -9
-8
-7
-6
-5 -4 3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Answer:
twenty thousand and two
What is the value of b in the equation 3b - 4 = 11?
Answer:
b = 5
Step-by-step explanation:
3b - 4 = 11
Add 4 to each side
3b - 4+4 = 11+4
3b = 15
Divide each side by 3
3b/3 = 15/3
b = 5
Answer:
b = 5
Step-by-step explanation:
3b - 4 = 11
3b - 4 + 4 = 11 + 4
3b = 15
3b ÷ 3 = 15 ÷ 3
b = 5
What is the solution to the equation 3(2x + 5) = 3x+4x?
Сра
XD0
X=4
X-5
X-15
Save and Exit
which statement is true about these functions?
1.The graph and the equation have the same slope.
2.The graph has a greater slope.
3.The equation has a greater slope.
4.none of the above.
Answer:
Option (2)
Step-by-step explanation:
1). Equation of the line given in the question is,
[tex]y=\frac{1}{2}x+5[/tex]
Slope of the line = [tex]\frac{1}{2}[/tex]
Slope of the line given in the graph = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{3}{4}[/tex]
But [tex]\frac{1}{2}\neq \frac{3}{4}[/tex]
Therefore, slopes of the line and the line given in the graph are not equal.
Option (1) is incorrect
2). Since, [tex]\frac{3}{4}> \frac{1}{2}[/tex]
Therefore, Option (2) is correct.
3). Since, graph has a greater slope, option (3) is incorrect.
Option (2) is the correct statement.
An oil tank in the shape of a cylinder has a diameter of 40 feet and a height of 32 feet. Which expression can be used to find the volume of the oil tank? Recall the formula V = pi r squared h.
Answer:
40217.6 cubic feet
Step-by-step explanation:
Given data
Diameter= 40feet
Radius= 20feet
Height=32feet
The expression for the volume is given as
V= πr^2h
Substitute
V= 3.142*20^2*32
V= 3.142*400*32
V=40217.6 cubic feet
Hence the volume of the tank is 40217.6 cubic feet
Leo is working part time as a server in a restaurant. He makes $8.14 for each hour he works, and on average earns an additional $300 per week in tips. Which function, f(x), can Leo use to model his average weekly salary in terms of the number of hours, x, he works?
Answer:
f(x) = 8.14x + 300
Step-by-step explanation:
The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.
What is a function?' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'
According to the given problem,
Amount Leo earns for each hour he works = $8.14
Amount Leo earns in x hours = $8.14x
Amount Leo earns as additional tip per week = $300
Therefore, the function of x is,
⇒ f(x) = 8.14x + 300
Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300
Learn more about function here: https://brainly.com/question/9046022
#SPJ2
Express the following division in the form of a + bi: (1+3i)(2+i)
Answer:
[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]
Step-by-step explanation:
We proceed to present the procedure by algebraic means:
1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given
2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties
3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties
4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties
5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties
Drink sales for an afternoon at the school carnival were recorded in the table below.
What is the experimental probability that the next drink is a small coffee? Enter your
answer as a simplified fraction.
Given:
The table that represents the drink sales for an afternoon at the school carnival.
To find:
The experimental probability that the next drink is a small coffee.
Solution:
From the given table it is clear that,
The total number of drinks sold = 72+99+63+68+47+58
= 407
The number of small coffee sold = 63
Now, the experimental probability that the next drink is a small coffee is:
[tex]\text{Probability}=\dfrac{\text{Number of small coffee sold}}{\text{Total number of drinks sold}}[/tex]
[tex]\text{Probability}=\dfrac{63}{407}[/tex]
It cannot be simplified further.
Therefore, the experimental probability that the next drink is a small coffee is [tex]\dfrac{63}{407}[/tex].
18. Find the length of the segment indicated. Round your answer to the
nearest tenth if necessary.
Answer:
b. 6.2
Step-by-step explanation:
x =√18.2²-17.1² =√331.24- 292.41
= √38.83 = 6.2
3. Which number represents 5.33 written
533/100 then simplify
5 and 33/100
But that isn't an option and none of those options convert into 5.33, and I haven't been able to solve 3.75 repeating yet nor think it would convert into 5.33 anyhow. Please correct me if I'm solving this wrong.
