NEED HELP ASAP PLEASE HELP
Use the figure below to find AC.
Select one:
a. 40
b. 20
c. 50
d. 60
Answers
AB = 2x + 4
BC = 10
This means that AB + BC = AC
All you have to do is plug in the equations.
(2x + 4) + (10) = (3x + 1)
2x + 14 = 3x + 1
2x + 13 = 3x
13 = x
Now plug in the value of x (13) into the AC equation (3x + 1).
AC = 3(13) + 1
AC = 39 + 1
AC = 40
The answer is:
a. 40
Related Questions
Use the number line to find the ratio AC/CF simplify the ratio
A. 8/20
B 2/5
C 8/12
D 2/3
Answers
it would originally be 8/20 but simplified it 2/5
Answer:
The correct option is D.
Step-by-step explanation:
From the given number line it is clear that A=0, B=2, C=8, D=14, F=20 and G=22.
The length of line segment AC is
[tex]AC=C-A=8-0=8[/tex]
The length of line segment CF is
[tex]CF=F-C=20-8=12[/tex]
The ratio of line segment AC to CF is
[tex]\frac{AC}{CF}=\frac{8}{12}[/tex]
Cancel out the common factors.
[tex]\frac{AC}{CF}=\frac{2}{3}[/tex]
The simplified ratio of [tex]\frac{AC}{CF}[/tex] is 2/3.
Therefore the correct option is D.
Find all real values of $v$ that satisfy the equation $(v+6)^2 = 324$. If you find more than one, then list your values in increasing order, separated by commas.
Answers
(v+6)^2 = 324-----> I raise to 1/2 both members----> [(v+6)^2]^(1/2)=(324)^(1/2)[(v+6)]=(324)^(1/2)-------------> v+6=√324
v=√324-6---------> 18-6=12
v=12
the answer is v=12
Answer:
The values of v in increasing order are, -24, 12
Step-by-step explanation:
Given equation is,
[tex](v+6)^2=324[/tex]
[tex]v+6=\pm 18[/tex]
[tex]v=-6\pm 18[/tex]
[tex]\implies v=-6-18\text{ or }v=-6+18[/tex]
[tex]\implies v = -24\text{ or }v=12[/tex]
Since, -24 < 12
Thus, the values of v in increasing order are,
-24, 12
Question 11 options: you take a ride on a ferris wheel which has a diameter of 300 feet. if you ride for four revolutions, what linear distance did you travel? use 3.14 for pi when completing your calculations. round your answer to the nearest whole number, if necessary. the distance traveled is
Answers
PLEASE HELP ME!!!!!!!!!
Answers
Hope that helped! :)
Number of security staff = a over 100 if a audience, is 10500, how many security staff are needed for the event
Answers
.. Number of security staff = 10500/100 = 105
The image of a figure is shown. What are the coordinates of X in the pre-image of the figure if the rule that created the image was T–5.2, 1.4(x, y)? PLEASE ANSWER
X =
a. (-7.2, 3.4)
b. (1.2, 6.6)
c. (3.2, 0.6)
b. (9.2,-0.4)
Answers
Hope this somewhat helped! :)
Which linear function has the greatest y-intercept?
A) x + 6y = 36
B) y = 15x + 5
C) 3x + 8y = 24
D) y = 4x + 7
Answers
Answer:
the answer is y=4x+7
Step-by-step explanation:
kelly ran 2 miles and burned 240 calories. the next day she ran 3 miles and burned 360 calories. the next day4 miles and 480 miles. if this pattern continues, how
many calories will she burn if she runs 8 miles?
Answers
120 calories x 8 miles = 960 calories
Kelly will burn 960 calories if she runs 8 miles.
Answer:
She will burn 960 calories if she runs 8 miles
Solve the following system of equations using matrices.
4x – 2y = -6
3x – 6y = -18
(40, 90)
(3, 0)
(0, 3)
(-6, 18)
Answers
.. (x, y) = (0, 3) . . . . . your 3rd selection
_____
I prefer using the RREF function to put the augmented matrix into reduced row-echelon form. If the equations are dependent or inconsistent, using that method tells you so without giving a matrix inversion error.
A town has a population of 2000 and grows at 4% every year what will be the population after 15 years to the nearest whole number
Answers
Answer:
3602
Step-by-step explanation:
The population of the town after 15 years will be approximately 3495.
Explanation:To find the population of the town after 15 years, we need to use the formula for compound interest: A = P(1 + r)^t, where A is the final amount, P is the initial amount, r is the growth rate expressed as a decimal, and t is the number of time periods. In this case, P = 2000, r = 0.04, and t = 15.
Using this formula, we can calculate the population after 15 years:
A = 2000(1 + 0.04)^15
A = 2000(1.04)^15
A ≈ 2000(1.747422)
A ≈ 3494.84
Rounding to the nearest whole number, the population after 15 years will be approximately 3495.
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Gustavo tested 1000 calculators to see if any were defective. The company claimed that the probability of a defective calculator was 1% per 1000 calculators. Gustavo found 15 defective calculators out of 1000.
What was the predicted frequency?
Predicted Frequency . . .
=(# of trials)(theoretical probability)
=(1000)(0.01)
The predicted frequency was ____
A: 1
B: 10
C: 100
D: 1000
What was the relative frequency?
Relative Frequency = Observed Frequency/Total Number of Trails
The relative frequency was _____
A: 0.15%
B: 1%
C: 1.5%
D: 15%
Answers
a) The company claimed that there is 1% probability of defective calculators out of 1000.
So predicted frequency = 1% of 1000
= 0.01 x 1000
= 10
b) 15 defective calculators were found in 1000 calculators.
Relative Frequency = Observed Frequency / Total Number
= 15/1000 x 100%
= 1.5%
ITS 10
Then 1.5% thank this
Which algebraic expression represent the phrase “ seven more than half of a number”?
Answers
Hope this helps =)
Answer:
The given expression “ seven more than half of a number” can be written mathematically as [tex]7+\frac{1}{2}N[/tex]
Step-by-step explanation:
Given phrase “ seven more than half of a number”
We have to write the algebraic expression for the given phase.
Algebraic expression is the way of writing an expression in mathematical form using mathematical operations and variables.
Consider the given phrase “ seven more than half of a number”
Let the number be N,
Then half of number is [tex]\frac{1}{2}N[/tex]
and seven more means seven is added to this, the expresion becomes [tex]7+\frac{1}{2}N[/tex]
Thus, the given expression “ seven more than half of a number” can be written mathematically as [tex]7+\frac{1}{2}N[/tex]
Please help me solve for r
Answers
.. K +7s = 4r
Divide by the coefficient of r.
.. (K +7s)/4 = r
Find the smallest value of k if 264k is a perfect square
Answers
264k = 132*2k = 11*12*k = 11*3*2*2*k
To get a perfect square, you are going to have to have an even number of prime factors.
You have one 11 and one 3. You are going to have to do something about those two.
k = 11 * 3 <<<<< ======= answer.
Now put that into 264k and you get 11 * 3 * 2 * 2 * 11 * 3 which is a perfect square. 11^2 * 3^2 * 2^2 = 4356
The square root of 4356 = 66
4356 is a perfect square when 33 = k.
HELP! ASAP!
What is the measure of ∠A?
What is the measure of ∠B?
Answers
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15
Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°
Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108
Answer:
m∠A = 72°
m∠B = 108°
Answer:
What is the measure of ∠A?
72°
What is the measure of ∠B?
108°
Step-by-step explanation:
I literally copied and pasted from edge
Which graph shows the equation y = x + 2?
Answers
Find the exact value of sin ( 2
a. if cos a = 3 /5 . assume a is a quadrant i angle in standard position.
Answers
From Pythagoras theorem the third side will be 4
cos a =3/5
sin a =4/5
sin 2a =2 x 4/5
sin 2a= 8/5
How could the relationship of the data be classified? (1 point)
scatter plot with points loosely scattered going down to the right
Answers
2.1 + (–3.7h) + 1.9h – 1.4
Answers
2.1 - 3.7h + 1.9h - 1.4 = 0
0.7 - 1.8h = 0
1.8h = 0.7
h = 0.38888....
You are preparing to tile the floor of a rectangular room that is 15.5 feet by 18 feet in size. The tiles you plan to use are squares, measure 12 inches on each side, and are sold in boxes that contain enough tiles to cover 25 square feet. Each box costs $30.
To determine the cost of materials you multiply 15.5 by 18, divide by 25, round up to the next whole number, and multiply by 30. Is this correct?
A) Yes.
B) No, you need to round down and then multiply by 30.
C) No, you need to round down and then multiply by 144.
D) No, you need to divide by 144, round up, and then multiply by 30.
E) No, you need to divide by 144, round down, and then multiply by 30.
Answers
To find the cost of tiling the room, you have to calculate the area in square feet, convert tile size to the same units, calculate how many boxes needed and round up, then multiply by the cost per box. The correct answer is D).
Explanation:The correct answer is D). The process to determine the cost of the tiles needed to cover the room starts with calculating the area of the room in square feet. This is done by multiplying the room's length and width, so 15.5 feet * 18 feet which equals 279 square feet.
The tiles are 12 inches in size on each side, but the dimensions of the room are in feet. Therefore, we need to convert the tile size to square feet. Since 1 foot = 12 inches, 1 square foot = 144 square inches. Our tile is 12 inches * 12 inches = 144 square inches, which equals 1 square foot.
However, the tiles are sold in boxes that cover 25 square feet. So, we will divide the total room area by the area covered by one box of tiles. 279 square feet / 25 = 11.16 boxes needed, approximately.
It's important to round up at this stage, as you can't buy a fraction of a box. So, you'd need 12 boxes.
The last step is to calculate the total cost, which is done by multiplying the number of boxes by the cost of each box. So, 12 * $30 equals $360.
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Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.
Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.
Answers
1) You can write the system of linear equations as big as you want. This is: systems 3 * 3, 4 * 4, 5 * 5.
2) The response to systems of equations greater than 2 * 2 can be complicated when you graph the solution, therefore, the graphing calculator can be much more efficient in these cases.
3) You can write the linear equations in any way. Resolving by hand you should probably rewrite the system of equations to find the solution.
Mr Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet
Answers
This problem is solved using a rule of three
we know that
Mr Savage used 3 gallons of paint to cover--------------> 1,350 square feet
X--------------------------------------------------------------------> 1,800 square feet
X=1800*3/1350=4 gallons
the answer is 4 gallons
Jeremiah scored 28 points in yesterday's basketball game. He made a total of 17 baskets. Some of the baskets were field goals (worth two points) and the rest were free throws (worth one point). How many field goals did Jeremiah make? How many free throws did he make?
Answers
.. 6 free throws, hence 11 field goals.
Answer:
6 and 11
Step-by-step explanation:
Which equivalent expression would you set up to verify the associative property of addition for (3x + 4) + ((5x2 – 1) + (2x + 6))
(3x + 4) + (5x2 – 1)
(5x2 – 1) + ((3x + 4) + (2x + 6))
((3x + 4) + (5x2 – 1)) + (2x + 6)
(3x + 4) + (5x2 – 1) + (2x + 6)
Answers
(3x + 4) + [(5x2 - 1) + (2x + 6)]
As given in the definition below, to make it an associative property, we can change the bracket
[(3x + 4) + (5x2 - 1)] + (2x +6)
Your answer will be the third option :)
It's C.
Trust me, I had trouble figuring out this answer...
The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter? 165 m2 2,158 m2 1,079 m2 37,699 m2
Answers
Formula N° 1:
V=4/3(πr³)
V is the volume of the sphere (V=3,000π m³).
r is the radius.
Formula N° 2:
A=4πr²
A is the area of the sphere.
r is the radius.
As you can see, you don't have the value of the radius "r". So, you must rewrite the Formula N° 1, and clear "r":
V=4/3(πr³)
(3,000)(3)=4πr²
r³=9,000/4π
r=(9,000/4π)^1/3
r=13.1037 m
Then, to calculate the area of the sphere, you must substitute the value of "r" into the Formula N° 2:
A=4πr²
A=4π(13.1037)²
A=2,158 m²
What is the surface area of the sphere to the nearest square meter?
The answer is: 2,158 m²
What is value of x?
https://static.k12.com/nextgen_media/assets/8093716-NG_GMT_SemB_08_UT_12.png
Answers
The calculated measure of the angle x is 76 degrees
How to determine the measure of the angle xFrom the question, we have the following parameters that can be used in our computation:
The figure
Also, we have
Angle with a measure of 76 degrees
By the theorem of corresponding angles, we have
x = 76
Hence, the measure of the angle x is 76 degrees
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Use the quadratic formula to solve for the roots of the following equation. x 2 – 4x + 13 = 0
Answers
By using the quadratic formula, the roots of the equation are,
⇒ x = 2 ± (√3/2) i
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;
The quadratic equation is,
⇒ x² - 4x + 13 = 0
Now, By using the quadratic formula, the roots of the equation are,
⇒ x² - 4x + 13 = 0
⇒ x = - (- 4) ± √ (- 4)² - 4×1×13 / 2
⇒ x = 4 ± √16 - 52 / 2
⇒ x = 4 ± √- 36 / 2
⇒ x = 4 ± √6 i / 2
⇒ x = 2 ± (√3/2) i
Thus, We get;
⇒ x = 2 ± (√3/2) i
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Final answer:
The roots of the quadratic equation x² - 4x + 13 = 0 are complex numbers, specifically 2 + 3i and 2 - 3i, obtained through applying the quadratic formula.
Explanation:
To solve the quadratic equation x² – 4x + 13 = 0 using the quadratic formula, we first identify a, b, and c from the equation. Here, a=1, b=-4, and c=13. The quadratic formula is ‘x' equals minus ‘b’, plus-or-minus the square root of ‘b’ squared minus four ‘a’ ‘c', all over two 'a'. Applying these values, we get:
x = – (-4) ± √((-4)² – 4(1)(13)) / (2)(1)
This simplifies to:
x = 4 ± √(16 – 52) / 2
x = 4 ± √(-36) / 2
Since the square root of -36 is 6i (where i is the imaginary unit √(-1)), the solutions are:
x = (4 ± 6i) / 2
x = 2 ± 3i
Therefore, the roots of the equation are 2 + 3i and 2 - 3i, which are complex numbers.
Find the smallest possible set (i.e., the set with the least number of elements) that contains the given sets as subsets. {jill, john, jack}, {susan, sharon}
Answers
Subsets make up the main set, so basically combine the subsets together.
The smallest possible set that contains the given sets as subsets is,
⇒ {jill, john, jack, Susan, sharon}
What is mean by Subsets?
A set 'A' is a subset of another set 'B' , if all the element of the set A are element of set of 'B'.
Given that;
The subsets are;
⇒ {jill, john, jack} , {Susan, sharon}
Now,
Clearly, A subsets of a set is contain all the elements of subsets.
So, We get the set;
Set = {jill, john, jack, Susan, sharon}
Thus, The smallest possible set that contains the given sets as subsets is,
⇒ {jill, john, jack, Susan, sharon}
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Debra is on the swim team. Each week she swims a total of 7000 meters. How many kilometers does she swim each week?
Answers
Please help me it's homework.
Answers
=======
2 faces of 2 * 8 = 32
2 faces of 2 * 7 = 28
2 faces of 7 * 8 = 112
Total = 172
Right Side Prism
=========
2 faces of triangles 1/2 * 7.2 * 4.8 = 34.56
1 bottom face of 7.2 * 10 = 72
2 slanted faces 6 * 10 = 120
Total 34.56 + 72 + 120 = 226.56
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