Answer:
[tex]c+6[/tex]
[tex]d-32[/tex]
Step-by-step explanation:
We need to translate the given phrases into an algebraic expression.
1.
Let variable c represents the unknown quantity.
The total of the number of cars in the garage and the 6 cars outside.
Required expression : Cars in garage + Outside cars
[tex]c+6[/tex]
Therefore, the required expression is [tex]c+6[/tex].
2.
Let variable d represents the unknown quantity.
The number of dollars Paul owes minus 32.
Required expression : Number of dollars Paul owes - 32
[tex]d-32[/tex]
Therefore, the required expression is [tex]d-32[/tex].
PRE CALC, please help 22 POINTS
Answer:
D. f(x)=3^x+5
Step-by-step explanation:
D. have a domain and range
Help me out :O What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.
Answer:
3. 1/9 feet^3
Step-by-step explanation:
First, find the volume of one cube.
The volume of a cube can be found using the following formula:
V=s^3
We know that s, the side length is 1/3 feet. Therefore, we can substitute 1/3 ft in for s.
V= (1/3 ft)^3
Evaluate the exponent.
1/3 ft^3
=1/3 ft * 1/3 ft* 1/3 ft
=1/9 ft^2*1/3 ft
= 1/27 ft^3
V= 1/27 ft^3
Now find the volume of 3 cubes. We know the volume of one cube is 1/27 ft^3, therefore we can multiply 1/27 ft^3 by 3.
1/27 ft^3 * 3
Multiply 1/27 and 3.
1/27 * 3/1
=(1*3)/(27*1)
=3/27
=1/9
V= 1/9 ft^3
The volume of 3 cubes is 1/9 cubic feet, and choice 3 is correct.
Answer:
1/9; C
Step-by-step explanation:
V=s*s*s
Side Length: 1/3
V=1/3*1/3*1/3
V=1/27
1/27*3= 3/27
3/27 simplified eqauls 1/9
If A=(0,0) and B=(6,3), what is the length of AB?
Answer:
3√5 unitssolution,
A(0,0)---->(X1,y1)
B(6,3)---->(x2,y2)
Now,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + (y2 - y1) ^{2} } \\ \: \: \: = \sqrt{ {(6 - 0)}^{2} + {(3 - 0)}^{2} } \\ \: \: \: = \sqrt{ {(6)}^{2} + {(3)}^{2} } \\ \: \: \: \: = \sqrt{36 + 9} \\ \: \: \: \: = \sqrt{45} \\ \: \: \: = 3 \sqrt{5 } \: units[/tex]
Hope this helps...
Good luck on your assignment..
Which is the graph of the system x+3y>-3 and y<1/2x+1?
Answer:
The y-intercept of the first inequality is -1.
The y-intercept of the second inequality is +1.
The fourth graph has these correct.
There are eight marbles in a bag. Four marbles are blue (B), two marbles are red
(R) and two marbles are green(G)
Steve takes a marble at random from the bag.
(i) What is the probability that Steve will take a blue marble.
(ii) What is the probability that Steve will take a green marble.
(iii) What is the probability that Steve will take a yellow marble.
Answer:
i. 4/8 or 1/2, ii. 2/8 or 1/4, iii. 0/8
Step-by-step explanation:
In the problem it says that there are 8 marbles in total, so for number 1 it'll be 4/8 or 1/2 since 4 of the marbles are blue. Number 2 will be 2/8 because there are only 2 green marbles and you can simplify 2/8 to 1/4. The last one would be 0 since the problem didn't mention that there are yellow marbles. Hope this helps :)
NEED IT ASAP What is the value of x in the diagram below? A.18/ ROOT 3 B.18 ROOT 2/ROOT 3 C.18 ROOT 3/ ROOT 2 D. 18 ROOT 2
Answer:
x = B. 18 ROOT 2/ROOT 3
Step-by-step explanation:
There are two Triangles in the diagram above.
Step 1
We would solve for Triangle A First
Using Trigonometric function Cosine
cos θ = adjacent /hypotenuse
θ = 30°
Adjacent = 9 units
Hypotenuse = unknown
cos 30= 9/ Hypothenuse
Cross Multiply
cos 30 × Hypotenuse = 9
Hypotenuse = 9 / cos 30
cos 30 in surd form = √3/2
Hypotenuse = 9/√3/2
Hypotenuse = 9 × 2/√3
= 18/√3 units
Step 2
We would solve for the upper triangle = Triangle B
We are looking for x
θ = 45°
For Triangle B, the Hypotenuse we solved for in Triangle A is equivalent to the adjacent in Triangle B
Therefore ,
Hypotenuse for Triangle A = Adjacent side for Triangle B
θ = 45°
Adjacent = 18/√3 units
Hypotenuse = x = unknown
We would solve for this using Trigonometric function cosine
cos 45 = 18/√3 units / Hypothenuse
Cross Multiply
cos 45 × Hypotenuse = 18/√3 units
Hypotenuse = 18/√3 units / cos 45
cos 45 in surd form = 1/√2
Subtituting, we have
Hypotenuse (x) = 18/√3 units / 1/√2
Hypotenuse (x) = 18/√3 units ×√2/1
= 18× √2/ √3 units
= 18 √2/√3 units
Therefore x = Option B. 18 ROOT 2/ROOT 3
Answer:
18sqrt2/sqrt3
or B on Edg
Step-by-step explanation:
Use the diagram at the right to answer questions 7-11.
7. Find the measure of a
8. Find the measure of b.
9. Find the measure of e.
10. Find the measure of h.
11. Find the measure of i.
Answer:
7. a= 110°
8. b= 70°
9. e= 140°
10. h= 150°
11. i= 150°
Step-by-step explanation:
I put the following rules in case you forgot them:
First Rule : Sum of angles of the triangle is 180°.
um of angles of the triangle is 180°
Second Rule : Sum of supplementary angles (angles of straight angle) is 180°.
Third Rule : Vertically Opposite Angles are equal.
7. Find the measure of a
a= 180° - 30° - 40° = 110° (using first rule i wrote it above)
8. Find the measure of b.
b= 180° - a = 180°- 110°= 70° (using second rule where a and b are supplementary angles)
9. Find the measure of e.
e= 180° - 40°= 140° (second rule where angles 40° and e are supplementary)
10. Find the measure of h.
h= 180° - 30°= 150° (second rule where h and the angle 30° are supplementary angles)
11. Find the measure of i.
i = h = 150° (third rule where i and h are vertically opposite angles)
Hope this helps.. Good Luck!
If you were asked to describe how you would solve for an unknown value in an
equation, how would you explain that process? Give it a try here, using the equation
given as a step by step example to go along with your explanation. Be as detailed as
possible for each step of the solution.
3(x - 2) = 5x – 14
Answer:
4
Step-by-step explanation:
3(x - 2) = 5x - 14 (given)
3x -6 = 5x -14 (Distribute the "3" to "x" and "2")
-2x -6 = -14 (subtract "5x" from both sides)
-2x = -8 (Subtract "-6" from both sides)
x = 4 (divide both sides with "-2")
4. Which regions contain more than 3 million males?
Answer:
The Eastern region has more than 3 million males.
George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown below:
Art class and in art club: 100
Art class and not in art club: 265
Total in art class: 365
Not in art class and in art club: 65
Not in art class and not in art club: 70
Total not in art class: 135
Total in art club: 165
Total not in art club: 335
Total students: 500
Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Answer:
If you're not an art club member and you want to request the art class, you have a greater chance of getting into our class. There isn't an equal opportunity for all students to get into the art class they requested, therefore the class assignment is unfair.
As a non-art club member, you have a 79% chance of being assigned to the art class they request.
As an art club member, you have a 61% chance of being assigned to the art class they request.
Step-by-step explanation:
265, divided 335, that's 79%. So this means that if you are not in the art club and you wish to enroll in an art class, you have 79% of percent of being admitted in your request in art class.
Total not in art club 335/ Total students 500= 0.791= 0.79%
Art class and in art club 100/ Total in art club 165= 0.606 = 0.61%
Non art club requested 79% against art club requested 61%.
Beth is knitting mittens and gloves. Each pair must be processed on three machines. Each pair of mittens requires 2 minutes on Machine A, 2 minutes on Machine B, and 4 minutes on Machine C. Each pair of gloves requires 4 minutes on Machine A, 2 minutes on Machine B, and 1 minute on Machine C. Machine A, B, and C are available 32, 18, and 24 minutes, respectively, everyday. The profit on a pair of mittens is $8.00 and on a pair of gloves is $10.00.
Answer:
Two mittens and seven gloves
Step-by-step explanation:
I presume you are asking how many mittens and how many gloves Beth should knit to produce the most profit.
Let x = the number of mittens and
Let y = the number of gloves
1. Summarize the information in a table
[tex]\begin{array}{cccc}&\textbf{Mittens}& \textbf{ Gloves} & \textbf{Minutes Available}\\\text{Machine A} & 2 & 4 & 32\\\text{Machine B} & 2 & 2 & 18\\\text{Machine C} & 4 & 1 & 24\\\text{Unit profit} & $8.00 & $10.00 & \\\end{array}[/tex]
2. List the constraints
(a) Beth can't make a negative number of mittens, so
x ≥ 0.
(b) Neither can she make a negative number of gloves, so
y ≥ 0.
(c) The total number of minutes on Machine A cannot exceed 32, so
2x + 4y ≤ 32.
(d) The total number of minutes on Machine B cannot exceed 18, so
2x + 2y ≤ 18.
(e) The total number of minutes on Machine C cannot exceed 24, so
4x + y ≤ 24.
3. Write an equation for the profit
P = 8.00x + 10.00y
4. Graph the constraints to identify the feasible region
See the figure below. The feasible region is the dark green area where all three regions overlap.
5. Determine the points of intersection between the constraints
(i) Constraints (c) and (d)
[tex]\begin{array}{rcr}2x + 4y & = & 32\\2x + 2y & = & 18\\2y & = & 14\\y & = & \mathbf{7}\\2x + 14 & = & 18\\2x & = &4\\x & = & \mathbf{2}\\\end{array}\\[/tex]
The lines intersect at (2,7).
(ii) Constraints (c) and (e)
[tex]\begin{array}{rcl}2x + 4y & = & 32\\4x + y & = & 24\\4x + 8y & = & 64\\7y & = & 40\\y & = & \mathbf{\dfrac{40}{7}}\\\\4x + \dfrac{40}{7} & = & 24\\\\4x & = &24 - \dfrac{40}{7}\\\\4x & = & \dfrac{128}{7}\\\\x & = & \mathbf{\dfrac{32}{7}}\\\\\end{array}\\[/tex]
The lines intersect at (27/7,32/7).
(iii) Constraints (d) and (e)
[tex]\begin{array}{rcr}2x + 2y & = & 18\\4x + y & = & 24\\4x + 4y & = & 36\\3y & = & 12\\y & = & \mathbf{4}\\4x +4 & = & 24\\4x & = &20\\x & = & \mathbf{5}\\\end{array}\\[/tex]
The lines intersect at (5,4).
6. Determine the x- and y-intercepts of the feasible region
(i) x-intercept
[tex]\begin{array}{rcr}4x + y & = & 24\\4x + 0 & = & 24\\x & = & \mathbf{6}\\\end{array}[/tex]
The x-intercept is at (6,0).
(ii) y-intercept
[tex]\begin{array}{rcr}2x + 4y & = &32\\2(0) + 4y & = &32\\4y & = & 32\\y & = & \mathbf{8}\\\end{array}[/tex]
The y-intercept is at (0,8).
The five black dots are the vertices of the polygon that represents the feasible region.
7. Calculate the maximum profit
Calculate the profit at each of the vertices.
(i) At (0,0)
P = 8.00x + 10.00y = 8.00(0) + 10.00(0) = 0 + 0 = $0
(ii) At (2,7)
P = 8.00(2) + 10.00(7) = 16 + 70 = $86
(iii) At (5,4)
P = 8.00(5) + 10.00(4) = 40 + 40 = $80
(iv) At (6,0)
P = 8.00(6) + 10.00(0) = 48 + 0 = $48
The maximum profit occurs at (2,7)
Thus, Beth should knit two mittens and seven gloves.
P and Q are reflections of (2, – 3) across the x-axis and the y-axis, respectively. Find the length of PQ in simplest radical form.
Answer:
(-2,3)
Step-by-step explanation:
When you reflect a point over the x axis, the y value is changed to the opposite value (positive)
So (2,-3) reflected across the x axis is (2,3)
Next, we need to reflect this across the y axis
When you reflect a point over the y axis, the x value is changed to the opposite value (negative)
(2,3) reflected across the y axis is (-2,3)
7. Write the slope-intercept form of the equation that passes through the point (2, 3) and is perpendicular to the line y = 5/8x - 4 y = 5/8x + 17/4 y = -5/8x + 7/4 y = -8/5x + 31/5 y = -8/5x - 31/5
Answer:
y = -8/5 x + 31/5
Step-by-step explanation:
Write the slope-intercept form of the equation that passes through the point (2, 3) and is perpendicular to the line y = 5/8x - 4 y = 5/8x + 17/4 y = -5/8x + 7/4 y = -8/5x + 31/5 y = -8/5x - 31/5
The slopes of perpendicular lines are negative reciprocals.
Slope of given line: 5/8
Slope of perpendicular line: -8/5
Point on perpendicular line: (2, 3)
Slope-intercept form of the equation of a line:
y = mx + b
We know the slope of the perpendicular is -8/5, so now we have
y = -8/5 x + b
We need to find b.
We use the given point for x and y and solve for b.
y = -8/5 x + b
3 = -8/5 * 2 + b
15 = -8 * 2 + 5b
15 = -16 + 5b
5b = 31
b = 31/5
Now that we know that b = 5, we can write the equation of the perpendicular line:
y = -8/5 x + 31/5
Est. Length: 2:00:00
x
Wyatt Stewart: Attempt 1
(06.01 MC)
What is the value of the expression shown below?
(2) 12 point)
4 + 16 +2244
O 1) 20
O 2 16
0 3 2
O 4) 5
Answer:
Step-by-step explanation:
B
In a recent television survey, participants were asked to answer ʺyesʺ or ʺnoʺ to the question ʺAre you in favor of the death penalty? ʺ Six thousand five hundred responded ʺyesʺ while 4100 responded ʺnoʺ. There was a fifty-cent charge for the call.
A) stratified B) random C) cluster D) convenience E) systematic
Answer:
D) Convenice
Step-by-step explanation:
People who called in were already wiilling to answer with a 50 cent charge and had available time to answer the survey
Please help with this
Answer: x = 10
Step-by-step explanation:
Hi, to answer this question we have to apply proportions, since the sides are equivalent.
15/25
6/x
So, for equal ratios:
15/25 = 6/x
Solving for the missing side x:
x = 6 / (15/25)
x = 10
In conclusion, the correct option is D) 10
Feel free to ask for more if needed or if you did not understand something.
Inez rides a bike with 24 inch (2 feet) wheels. What is the distance he can travel in 1500 revolutions?
Answer:
9420 ft
Step-by-step explanation:
1500 revolutions = 1500 full rotations or 360 degrees
Circumference = 6.28 ft ( 3.14 x 2 )
Then we take rotations by the circumference
1500 x 6.28 = 9420
MARK AS BRAINLIEST
Answer:
9420 ft or 2.88 km
Step-by-step explanation:
d= 2 ft
1500 revs
C= πd= 3.14*2= 6.28 ft
distance= 1500*6.28= 9420 ft ≈ 2.88 km
Find the value of the following expression: (3^8 x 2^-5 x 9^0)^-2 x (2^-2/3^3)^4 x 3^28
sorry if this is overwhelming!!! Trying to put this out there for this Awful end exam
Answer:
4
Step-by-step explanation:
(3^8 x 2^-5 x 9^0)^-2 x (2^-2/3^3)^4 x 3^28 =
= 3^-16 x 2^10 x 1 x 2^-8 x 3^-12 x 3^28
= 3^0 x 2^2
= 4
Which of the following is a conditional statement?
Question 1 options:
A)
If Alex studies for the geometry exam, then he will pass.
B)
Alex often fails geometry exams, but he passed this one.
C)
Alex studies for geometry exams, and he often passes.
D)
Either Alex goes to track practice, or he studies for the geometry exam.
Find the length of LW. If entering your answer as a decimal, round your final answer to the nearest hundredth. LW = ___ Units
Answer:
17.5 units
Step-by-step explanation:
We are given the following values from the diagram above
LA = 3.5 units
AY = Midpoint = 7.0 units
LW = unknown
Step 1
The first step is to determine what AW is.
From the right angled triangle, we obtained these proportions
LA : AY = AY : AW
= LA/AY= AY/AW
Cross Multiply
7× 7 = 3.5 × AW
49 = 3.5 AW
AW = 49/3.5
AW = 14 units
Step 2
LW = AW + LA
LW = 14 units + 3.5 units
LW = 17.5 units
Answer:
17.5 units
Step-by-step explanation:
i got this correct on khan thanks to adefunkeadewole.
thank you very much adefunkeadewole :)
helppppp Help me out :O What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.
Answer:
1/9 cubic feet
Step-by-step explanation:
The volume of one cube would be (1/3)³ = 1/27, therefore the volume of three cubes would be triple that amount, which is 1/27 * 3 = 1/9 ft³.
right triangle ABC has area 32√3cm^2. The measure of <A = 30, m<B=90. What is the length of BC? AB? AC? Express all answers in simplest radical form.
"sqrt" stands for "square root"
=======================================================
Explanation:
Angle C is 60 degrees because adding the angles gets A+B+C = 180. Put another way, C = 180-A-B. Therefore, C = 180-30-90 = 60.
We have a 30-60-90 triangle with
BC as the short leg (since it is opposite the smallest angle A = 30)AB as the long leg (because it is opposite the medium angle C = 60)AC as the hypotenuse (it is opposite the largest angle, so AC is the longest side)Check out the diagram below.
----------
From here, we use the 30-60-90 triangle template. The short leg is x, the hypotenuse is 2x and the long leg is x*sqrt(3). The area of this template triangle is
area = 0.5*base*height
area = 0.5*(short leg)*(long leg)
area = 0.5*x*(x*sqrt(3))
area = 0.5*x^2*sqrt(3)
set this equal to 32*sqrt(3) and you should find that 0.5x^2*sqrt(3) = 32*sqrt(3) solves to x = 8
----------
Therefore we can say,
BC = short leg = x = 8AB = long leg = x*sqrt(3) = 8*sqrt(3)AC = hypotenuse = 2x = 16Helpppp meeee do ths
Answer:
7/10
Step-by-step explanation:
10 dishes
3 meat dishes = ( chicken, hamburger, meatloaf)
10-3 = 7 that are not meat
P ( not meat) = not meat / total
=7/10
Answer:
7/10
Step-by-step explanation:
There are a total of 10 meals to choose from. There is 1 chicken, 1 hamburger, and 1 meatloaf. Together they make 3 meat choices. So there are 3/10 of probability of choosing meat. We are looking for the probability of not choosing meat which would be 7/10. This is because the whole amount of meals 10- 3 meat chooices equals 7 total of meals that are not meat. Which gives us the probability of 7/10.
Hope that was helpful!
(Brainliest???) :P
a particular dam contains approximately 1,900,000,000,000 cubic feet of water. for a week long spike flood, the dam released at a rate of 24,600 cubic feet per second. how much water was released during the flood?
what percentage of the dam was released during the flood?
Answer:
a) How much water was released during the flood?
14878080000 cubic feet or 14,878,080,000ft³
b) What percentage of the dam was released during the flood?
0.78%
Step-by-step explanation:
a) How much water was released during the flood?
The first step would be to find out how many seconds are in a week
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
7 days = 1 week
Hence, the number of seconds in a week =
1 week × (7 days/1 week)× (24 hours/1 day )×( 60 minutes/1 hour) ×( 60 seconds/1 minute)
= 604800 seconds
Therefore, the quantity of water released per week =
604800 seconds × 24,600 cubic feet per second
= 14,878,080,000 cubic feet or 14,878,080,000ft³
b) What percentage of the dam was released during the flood?
This is calculated as quantity released during the week ÷ Quantity of water in the dam × 100%
Quantity of water released during the flood in a week = 14,878,080,000 cubic feet
Quantity of water in the dam= 1,900,000,000,000 cubic feet of water
Percentage of the dam released during the flood =
14,878,080,000 cubic feet ÷ 1,900,000,000,000 × 100
= 0.7830568421%
Approximately = 0.78%
6.5+(-8.3)-(-1.6)+0.7-9.9
Answer:
-12.6
Step-by-step explanation:
OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting
Find the product. Write your answer in
exponential form.
2^-7•2^9•2^6
Answer:
exponential form = 2 ^8 = 4^ 4 = 16^ 2 = 256^ 1
Step-by-step explanation:
256
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 2 ^8 = 4^ 4 = 16^ 2 = 256^ 1
Answer:
4^4Step-by-step explanation:
[tex]2^{-7} \times2^9\times2^6\\\frac{1}{2^{7} } \times2^9\times2^6\\\frac{1}{128} \times 512 \times 64\\= 32768/128\\ = 256\\= 16^2 or\\ 4^4[/tex]
Triangle ABC is transformed to triangle A′ B′ C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 3, 4, B at ordered pair negative 4, 2, C at ordered pair negative 1, 1. A triangle A prime B prime C prime has A prime at ordered pair 3, 4, B prime at ordered pair 4, 2, C prime at ordered pair 1, 1.
Which equation shows the correct relationship between the measures of the angles of the two triangles?
The measure of angle ABC = The measure of angle A prime B prime C prime
The measure of angle ABC = The measure of angle B prime C prime A
The measure of angle BCA = The measure of angle A prime B prime C prime
The measure of angle BCA = The measure of angle C prime A prime B prime
Answer:
The measure of angle ABC = The measure of Angle A' B' C'
Step-by-step explanation:
Because
<A = <A'
<B = <B'
<C = <C'
The answer above is right.
WILL MARK BRAINLIEST FOR QUICK AND CORRECT ANSWER Determine the sum of the given probabilities. Are the events complementary? P(A) = 4/7 ; P(B) = 1/7 ; The events are complementary. ; The events are not complementary. ; The events are complementary. ; The events are not complementary.
Step-by-step explanation:
The numical sum of probabilities P(A) and P(B) = 4/7+1/7 = 5/7
Events A and B cannot be complementary because complementary events have their probabilities add up to exactly one.
Since P(A)+P(B)=5/7, A and B cannot be complementary.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.
x y
0 -6
1 -9
2 -12
3 -15
4 -18
A. quadratic; y = -x^2 - 2x
B. exponential; y = -6 • 1.5x
C. linear; y = -3x - 6
D. quadratic; y = -x^2 + 2x - 6
Answer: The correct answer is c
Step-by-step explanation: you would have to plot your graph and the put the answer in slop intercept for y=mx+b or y=-3x-6
Answer:
exponential; y = –6 • 1.5x
Step-by-step explanation:
1.5 x 1 = 1.5
1.5x-6= -9
Solve -x/6 ≥ 3
A. x ≤ 18
B. x ≥ -18
C. x ≥ 18
D. x ≤ -18
Answer:
D. x ≤ -18
Step-by-step explanation:
-x/6 ≥ 3
Multiply both sides by 6.
-x ≥ 3 × 6
-x ≥ 18
Multiply both sides by -1 and reverse the inequality.
x ≤ 18 × -1
x ≤ -18