Step-by-step explanation:
what table is your teacher taking about ?
in any case this is resistive easy to solve
80 pounds of 30% with x pounds of 0% result in 80+x pounds of 20% :
80×0.3 + x×0 = (80 + x)×0.2 = 80×0.2 + x×0.2
80×0.1 = x×0.2
x = 80×0.1/0.2 = 80/2 = 40 pounds
so, 40 pounds of 0% have to be added to the 80 pounds of 30% to get a mixture of 20% (80+40 = 120 pounds).
Select the correct answer.
Function g is a transformation of the parent cosine function such that g(x) = 3 cos (x + 2) + 1. Which graph represents function g?
Option C gives the graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.
What is cosine function?The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.
What is Graph?A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Choice C provides a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.
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Answer:
see photo
be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.
Step-by-step explanation:
Plato/Edmentum
There are 135 people in a sport centre.
73 people use the gym.
59 people use the swimming pool.
31 people use the track.
19 people use the gym and the pool.
9 people use the pool and the track.
16 people use the gym and the track.
4 people use all three facilities.
A person is selected at random.
What is the probability that this person uses at least 2 facilities?
4 + 12 + 5 + 15 = 36 persons utilize at least two facilities, with 4 of them using all three. Consequently, the likelihood that a randomly chosen individual who utilizes at least two facilities also uses all of them is
4/36=1/9
What is probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place.
If four people use all three facilities,
then 16 - 4 = 12 of them use the gym and the track but not the pool, and 9 - 4 = 5 of them use the pool and the track but not the gym.
The pool and gym are used by 19 - 4 = 15 individuals, however the track is not used.
4 + 12 + 5 + 15 = 36 persons utilize at least two facilities, with 4 of them using all three. Consequently, the likelihood that a randomly chosen individual who utilizes at least two facilities also uses all of them is
4/36=1/9
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There are 840 tickets available for a concert.
1/7 of these tickets have not been sold.
How many of the tickets have been sold?
Answer:
720
Step-by-step explanation:
If 1/7 of the tickets have not been sold, 6/7 of the tickets have.
840 * 6/7
720
a company produces very unusual CD's for which the variable cost is 8$ per CD and the fixed costs are $30000. They will sell the CD's for $63 each. Let x be the number of CD's produced. Write the total cost C as a function of the number of CD's produced.C=$___Write the total revenue R as a function of the number of CD's produced R=$_______Write the total profit P as a function of the number of CD's producedP=$______Find the number of CD's which must be produced to break even.The number of CD's which must be produced to break even is_______
Remember that to model this kind of problems, we can use the equation of a straight line
[tex]y=mx+b[/tex]Where:
• b, are the fixed costs
,• x ,represents what varies
,• m, is the cost of what varies
1. Therefore, using the data provided, we can model the cost of production with a function where:
• x ,is the numbers of CD's produced
,• C, is the cost of producing those CD's
[tex]C=8x+30000[/tex]2. To model the revenue, we'll have to take into account that every CD sells at $68. Therefore, the money collected by selling the x CD's produced is:
[tex]R=63x[/tex]Where:
• x ,its the number of CD's produced and sold
,• R, is the total revenue
3. To get the profit, we'll have to substract the production cost to the money collected by the sale. Remember we already have two expressions, in terms of x, that describe both situations. Therefore,
[tex]\begin{gathered} P=R-C \\ \rightarrow P=63x-(8x+30000)\rightarrow P=63x-8x-30000 \\ \rightarrow P=55x-30000 \end{gathered}[/tex]Where:
• x ,its the number of CD's produced and sold
,• P, is the total revenue
4. In order to break even, the revenue (R) has to be equal to the cost of production (C), Thus,
[tex]\begin{gathered} R=C\rightarrow63x=8x+30000 \\ \rightarrow63x-8x=30000 \\ \rightarrow55x=30000\rightarrow x=\frac{30000}{55} \\ x=545.5 \\ \text{Rounding to closest integer,} \\ x=546 \end{gathered}[/tex]Therefore, 546 CD's would have to be produced to break even.
Using the diagram, answer the following questions. Please show your work for points.
A.) Solve for y.
y =
B.) Find the measure of angles A, C and D showing all work.
∠A = , ∠C = , ∠D =
Answer:
A) y = 23°
B) ∠A = 67°, ∠C = 113°, ∠D = 113°
Step-by-step explanation:
Hello!
A)Angle A and B are vertical angles, meaning they are equal in measure. We can solve for y by setting the two equations equal to each other.
Vertical angles are the opposite angles formed by the intersection of 2 lines.
Supplementary angles are angles that add up to 180°.
Solve for y4y - 25 = 674y = 92y = 23The value of y is 23°.
B)Measure of Angle A is 67°, as Angle A and B are vertical and equal in measure
Measure of Angle C is 113°, because the sum of angles on a line are equal to 180°, and are supplementary.
Measure of Angle D is also 113°, because it is vertical to Angle C.
last question of the day :)
Answer:
0.5
Step-by-step explanation:
0.5 x 0.5 = 0.25
Answer:
x=0.5
Step-by-step explanation:
x=±√0.25
x=±0.5
x=0.5,−0.5
3. What is the value of x to the nearest degree?
Check the picture below.
[tex]tan(x )=\cfrac{\stackrel{opposite}{13}}{\underset{adjacent}{6}}\implies tan^{-1}[tan(x)]~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right) \\\\\\ x~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right)\implies x\approx 65^o[/tex]
Make sure your calculator is in Degree mode.
The vertices of ∆DEF are D(2,5), E(6,3), and F(4,0). Graph ∆DEF and its image when you translate ∆DEF using the vector (-3,-7)
The resulting coordinate of △ D'E'F' is translated by the vector is
(-1, -2), (3,-4), and (1, -7)
Given the vertices of ∆DEF are D(2,5), E(6,3), and F(4,0).
we are asked to graph ∆DEF and its image when you translate ∆DEF using the vector (-3,-7).
If the coordinate of the vertices is translated by the vector (-3, -7), the resulting coordinates of △ D'E'F' will be expressed as:
D'= (2-3, 5 - 7) = (-1,-2)
E' = (6 - 3, 3 - 7) = (3, -4)
F' = (4 -3 , 0 - 7) = (1, -7)
Hence we get the required coordinates of the translated image.
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The image of the point (1, 1) under a translation is (0, 3). Find the coordinates of the image of the point (-4, "-1) under the same translation.
The image of the point (-4, -1) after the translation is:
(-3, 1)
How to identify the translation?
A translation:
Tᵃ'ᵇ applied to a point (x, y) gives:
Tᵃ'ᵇ(x, y) = (x + a, y + b).
In this case, we know that:
Tᵃᵇ(1, 1) = (1 + a, 1 + b) = (0, 3)
Then:
1 + a = 0
1 + b = 3
Solving these we get:
a = 1
b = 3 - 1 = 2
The translation is:
T¹'²
Applying this to the point (-4, -1) gives:
T¹'²(-4, -1) = (-4 + 1, -1 + 2) = (-3, 1)
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suppose that marv and patricia will each take a covid test, and that the probability that both will test positive is 0.15. what is the probability that one or more of them tests negative?
The probability that one or more of them tests negative is 0.85.
Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.
If Marv and Patricia will each take a Covid test, then the events that will occur are : both will test positive, both will test negative, or one of them will test negative.
Based on the given information, the probability that both will test positive is 0.15. Subtract it from 1 to and get the probability that one or more of them tests negative.
probability = 1 - 0.15
probability = 0.85
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i need help but my chromebook doesn't accept the ads
Answer:
Whats the question?
When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? Original Equation: 5.x2 + (10x2 + 10) = 3x? First Step: 15x2 + 10 = 3.2 commutative property of multiplication commutative property of addition multiplication property of equality
The original equation is:
5 x^2 + (10 x^2 + 10) = 3 x^2 - 5
The first step the person did was:
15 x^2 + 10 = 3 x^2 - 5
so in this first step the person used the associative property of addition by associating 5 x^2 with 10 x^2 and combining them to give 15 x^2.
Please check if there is an option that states such among your options.
Find the measure of the missing arc (dont worry about the degree symbol)
The formula to calculate the missing arc is,
[tex]m\angle T=\frac{1}{2}\times m\angle arcTS[/tex]where,
[tex]m\angle arcTS=146^0[/tex]Therefore,
[tex]\begin{gathered} m\angle T=\frac{1}{2}\times146^0=73^0 \\ \therefore m\angle T=73^0 \end{gathered}[/tex]Hence, the answer is
[tex]\begin{equation*} m\angle T=73^0 \end{equation*}[/tex]an opinion poll of 4,000 (randomly selected) voters is con- ducted. the fraction of all voters in the population with an annual income above $50,000 is 35%. what is the chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled?
4.8% of voters with annual incomes over $50,000 will be polled, or at least 1,450 of them when an opinion poll of 4,000 (randomly selected) voters is con.ducted
What is probabilty ?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
We have,
n = 4000
p = 0.35 , q=1-p=0.65
= E(X) = np= 4000 (0.35) 600 1400
6 = SE(X) = √npq √ 4000 (0-35)(0.65) = 30.1662
Consider
P(X[tex]\geq[/tex]1450) = p 7
X-U
1450 1400
30.1662
=P(z>1,66)
=0.048457
from standard normal table,
Hence, 4.845% chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled
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Evaluate if x = 4. x² + x = [?]
Answer: The answer is 0.
X = 0 when evaluated.
Step-by-step explanation:
Determine the rate at which the sloth travels.
Justify your answer.
Distance (ft)
987654MN-
6.
3-
2
1
0
Speed of a Sloth
1 2
3 4
Time (min)
The rate at which the sloth travels as required in the task content is; -22ft/min.
Speed as a rate of distance with respect to time.It follows from the task content that the rate at which the sloth travels is to be determined.
Since the correct representation of the data is such that the distance and corresponding time pairs are as follows;
(98, 1) , (76, 2) , (54, 3), (32, 4).
Hence, the rate of distance change per time is the speed of the sloth and hence, the rate of distance change is;
Rate = ∆Distance/∆time.
Rate, R = (98 - 76)/(1 - 2)
Rate, R = 22/-1
R = -22 ft/min.
Ultimately, the rate at which the sloth travels is therefore; -22 ft/min.
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35. If 7-√5 / 7+√5= a +b√5, then find the value of a and b.
Find the square root. V100
for the square root you must look for a number that multiplied with itself gives you the indicated value
for this case a number that multiplied by itself gives you 100
[tex]10\times10=100[/tex]sothe square root of 100 is:
[tex]10[/tex]Students A and B have probabilities of failing an exam of 1/2 and 1/5 respectively. The probability of them both failing the examination is 1/10. Determine the probability that at least one of the two students fail.
Answer:
7/5
Step-by-step explanation:
1/2 + 1/5
probability that at least one of the two students fail is 7/5
If a rectangle has a length of 6cm and a width of 4cm what is it's area
Answer:
area = l×b
= 6×4
. = 24 cm²
Step-by-step explanation:
this is the answer
3 XWhat is the value of x in the equation 4-- =O-32O-18O 18O 3224?
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given equation
[tex]-\frac{3}{4}=\frac{x}{24}[/tex]STEP 2: Find the value of x
Cross multiply the equation
[tex]\begin{gathered} -3\times24=4\times x \\ -72=4x \end{gathered}[/tex]Divide both sides by 4
[tex]\begin{gathered} -\frac{72}{4}=\frac{4x}{4} \\ -18=x \\ x=-18 \end{gathered}[/tex]Hence, the value of x is -18
a 17 foot ladder is leaning against a wall. if the top slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 13 feet above the ground?
The foot will be moving at a rate of 2.373 ft/s away from the wall when the top is 13 feet above the ground.
From the question, we have the following;
Hypotenuse=17 foot
Height(y)=13 feet
Base(x)=(17^2-13^2)^1/2
=120^1/2 or sqrt(120)
The ladder against the wall is a right angle triangle, so we have:
x^2+y^2=17^2
x^2+y^2=289
Top slips down at 2ft/s
dy/dt=-2 ft/s, where height (y)=13ft
The foot will be moving horizontally(x), along the x axis, to find how fast the foot will be moving, we find dx/dt
Now, we take the derivative with respect to time:
=x^2+y^2=17^2
=2x(dx/dt)+2y(dy/dt)=0
Substitute the known values, y=13, x=sqrt(120), z=17, dy/dt=-2 ft/s
2(sqrt(120))(dx/dt)+2(13)(-2)=0
2(sqrt(120))(dx/dt)-52=0
We solve for dx/dt:
dx/dt=52/(2sqrt(120))
dx/dt=52/21.9089
dx/dt=2.373 ft/s
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please help with this geometry question i attempted it but dont understand it
You have the following vertices of a triangle:
A(1,1)
B(4,1)
C(4,5)
For the translation four untis to the right, consider this kind of translation means that it is necessary to sum 4 units to the x-coordinate:
A(1,1) => A'(1+4,1) = A'(5,1)
B(4,1) => B'(8,1)
C(4,5) => C'(8,5)
Next, a translation three units up is done by adding 3 units to the y-coordinate of points A', B' and C':
A'(5,1) => A''(5,1+3) = A''(5,4)
B'(8,1) => B''(8,4)
C'(8,5) => C''(8,8)
Next, a reflection around y=-1 consists in subtracting to the y-coordinate units equivalent to the vertical distance to the line y =-1, just as follow:
for the point A''(5,4) you can notice that the vertical distance of the y-coordinate, which is 4, to the line y=-1 is 5 units, then, it is necessary to subtract 5 units to such line:
A''(5,4) => A'''(5,-1-5)=A'''(5,-6)
for the point B''(8,4), the distance is again 5 units, then, you have:
B''(8,4) => B'''(8,-1-5) = B'''(8,-6)
for the point C''(8,8) the distance from y-coordinate y=8 to the line y=-1 is 9 units, then, yu subtract 9 units to -1:
C''(8,8) => C'''(8,-1-9) = C'''(8,-10)
Hence, the final points are:
A'''(5,6)
B'''(8,-6)
C'''(8,-10)
Given m || n, find the value of x.
m
(8x+14) (9x-4)°
n
Answer:
X=11
Step-by-step explanation:
Answer:
x=18
Step-by-step explanation:
Because, [tex](8*18+14)=(9*18-4)[/tex] is true
3/4+(1/2+1/4) 2⋅2
NEED HELP.
Answer:
15/8 for exact form
1.875 for decimal form
And
1 and 7/8 for mixed number form
hope this helps you!
(also already in the simplest form :)
three friends earned more than $200 washing cars. They pay their parents $28 for supplies and divided the rest of the money equally. right an equality to find possible amount each friend earned. Identify what your variable represents.
x is each friend
3x + 28 > 200
3x > 172
x > $57.33
if right can a i get brainliest pls
Answer:
Step-by-step explanation: $200-$28= $172
$172÷3=$57.33
i need help with the image below
Answer:
A. k ≥ 8.14
Step-by-step explanation:
Hope this helps! :))
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 89 km/h slower than the other. If the two planes are 3254 kilometers apart after 2 hours, what is the rate of each plane?
Answer:
769 and 858
Step-by-step explanation:
Every hour, the distance between the two planes increases by 2x + 89
2 hours = 4x + 178
3254 = 4x + 178
4x = 3076
x = 769
Match each ratio to an equal ratio. Drag the items on the left to the correct location on the right.
Answer:
30
Step-by-step explanation:
it doesn't seem to be correct question
x=3
the admission fee at a local zoo is $ 1.50 for children and $ 5.00 for adults. on a certain day, 2000 people enter the zoo and $ 7 , 550.00 is collected. how many children and how many adults attended?
There are [tex]700[/tex] children and [tex]1300[/tex] adults.
What is system of linear equations?
A System of Linear Equations is when we have two or more linear equations working together.
Let [tex]x[/tex] be number of children and [tex]y[/tex] be number of adults.
Since [tex]2000[/tex] people enter the zoo then [tex]x+y=2000.[/tex]
The admission fee at a local zoo is $ [tex]1.50[/tex] for children and $ [tex]5.00[/tex] for adults and $[tex]7550.00[/tex] collected then [tex]1.5x+5y=7550[/tex].
Thus there are two linear equations to solve.
Substitute [tex]x=2000-y[/tex] in [tex]1.5x+5y=7550.[/tex]
[tex]1.5(2000-y)+5y=7550[/tex]
[tex]3000-1.5y+5y=7550[/tex]
[tex]3000+3.5y=7550[/tex]
[tex]3.5y=7550-3000[/tex]
[tex]3.5y=4550[/tex]
[tex]y=\frac{4550}{3.5}[/tex]
[tex]y=1300[/tex]
So [tex]x=2000-y=2000-1300=700.[/tex]
Therefore there are [tex]700[/tex] children and [tex]1300[/tex] adults.
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