Answer:C
Step-by-step explanation:
Hope this helps!!
Answer:
Multiplication Property of equality
Step-by-step explanation:
AX BX
---- = ---
CY DY
Multiply each side by CY *DY
AX BX
CY * DY---- = --- CY *DY
CY DY
Canceling
DY *AX = BX DY
Then multiply by 1/ AX on each side
DY = BX * DY * 1/ AX
Then Multiply by 1/ CY on each side
DY BX
---- = ---
CY AX
hi:) I tried using the sine rule but I couldn’t get the ans :( anyone able to help? Thank you:)!!
Answer:
141.9° (1 d.p.)
Step-by-step explanation:
Please see attached picture for full solution.
Sine rule cannot be used since there is no given angle in △PQR. Note that the bearing of Q from P (041°) equals to ∠NPQ not ∠PQR.
The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?
A) $23,000 − $500y
B) $23,000 − $0.02y
C) $23,000 − $5,000y
D) $23,000 − $0.0002y
Answer: C
Step-by-step explanation:
If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.
Hope this helped you and made sense! Feel free to ask me any questions you have!
Edmund makes a cube using eight small cubes.
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund’s cube
Answer: 184
Step-by-step explanation:
so edmund would have a 2 by 2 cube (try and draw it out if that helps) so
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
so samuel cubeboid would be
long = 4
wide = 6
hight = 8
8 x 6 x 4 = 192 small cubes
but we are trying to find how much more samuel got
so 192 - 8 = 184
What is the solution set of the equation x+3x+2=3+1x? Note: x≠0, −2 {−1, 1} {2} {−1, 2} {−1}
Answer:
Interpreting as: x+3x+2=3+1x
Input:
x + 3 x + 2 = 3 + 1 x
Result:
4 x + 2 = x + 3
We want to find the solution set of the equation:
x + 3x + 2 = 3 + 1/x
The solution set is { (1 + √17)/8, (1 - √17)/8)}
To find this, we just need to solve the equation for x.
We start with:
x + 3x + 2 = 3 + 1/x
We simplify this to:
(x + 3x) + 2 = 3 + 1/x
4x + 2 = 3 + 1/x
4x + 2 - 3 - 1/x = 0
4x - 1 - 1/x = 0
Then we multiply by x in both sides to get:
4x^2 - x - 1 = 0
This is just a quadratic equation, the solutions are given by Bhaskara's equation.
[tex]x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*4*(-1)} }{2*4} \\\\x = \frac{1 \pm \sqrt{17} }{8}[/tex]
Then the solution set is: { (1 + √17)/8, (1 - √17)/8)}
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What is the equation for a school sales pencils to students for $.25 each. If a student has nine dollars how many pencils can a student by
Answer:
x=36
Step-by-step explanation:
1=0.25
x=9
0.25x=9
divide both sides by 0.25
so x=36
a student can buy 36pencils with 9 dollars
Answer:
Step-by-step explanation:
9/0.25=9/1/4=9*4=36
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.
Which expression is equivalent to -12 (3x-3/4)? a. -36x-8 b. -36x+8 c. -36x-9 d. -36 x+9
Answer:
-36x +9
Step-by-step explanation:
-12 (3x-3/4)
Distribute
-12*3x - 12*-3/4
-36x +9
Answer:
d
Step-by-step explanation:
PLS HELP How many cubes with side lengths 1/4 of does it take to fill the prism
1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!
Answer:
224
Step-by-step explanation:
Khan hehe
Find the derivatives of the function
Answer:
Part B)
[tex]\displaystyle h^\prime(t)=\frac{2t^3(4-t^3)}{(t^3+2)^3}[/tex]
Part C)
[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]
Step-by-Step Explanation:
Question B)
We have:
[tex]\displaystyle h(t)=(\frac{t^2}{t^3+2})^2[/tex]
And we want to find the derivative, h‘(t).
This will require the chain rule and the quotient rule. Remember that the chain rule states:
[tex]\displaystyle \frac{d}{dx}[(u(v(x))]=u^\prime(v(x))\cdot v^\prime(x)[/tex]
And the quotient rule:
[tex]\displaystyle \frac{d}{dx}[\frac{u}{v}]=\frac{u^\prime v-uv^\prime}{v^2}[/tex]
Therefore, for our function h(t), we can let, by the chain rule:
[tex]\displaystyle v(t)=\frac{t^2}{t^3+2}\text{ and } u(t)=t^2[/tex]
Then by the quotient rule:
[tex]\displaystyle v^\prime(t)=\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2}\text{ and } u^\prime(t)=2t[/tex]
Then, by the chain rule, our derivative, h’(t), is:
[tex]\displaystyle h^\prime(t)=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})[/tex]
Simplify:
[tex]\begin{aligned} \displaystyle h^\prime(t)&=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})\\ \\ &=\frac{2t^2}{t^3+2}(\frac{2t^4+4t-3t^4}{(t^3+2)^2})\\ \\ &= \frac{2t^2}{t^3+2}(\frac{-t^4+4t}{(t^3+2)^2}) \\ \\ &=\frac{2t^3(4-t^3)}{(t^3+2)^3} \end{aligned}[/tex]
Part C)
We have:
[tex]h(t)=2\cot^2(\pi t+2)[/tex]
Again, we will utilize the chain rule. This time, we will let:
[tex]u(t)=x^2\text{ and } v(t)=\cot(\pi t+2)[/tex]
Then differentiating gives (on the right, we will apply the chain rule a second time):
[tex]u^\prime(t)=2t\text{ and } v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]
To differentiate v(t), as mentioned, we need to apply the chain rule. We have:
[tex]v(t)=\cot(\pi t+2)[/tex]
We will let:
[tex]u_2(t)=\cot(t)\text{ and } v_2(t)=\pi t+2[/tex]
Therefore:
[tex]u_2^\prime(t)=-\csc^2(t)\text{ and } v_2^\prime(t)=\pi[/tex]
So:
[tex]v^\prime(t)=-\csc^2(\pi t+2)(\pi)[/tex]
And by simplification:
[tex]v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]
Therefore, it follows that:
[tex]h^\prime(t)=2[2(\cot(\pi t+2))(-\pi \csc^2(\pi t+2))][/tex]
So:
[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]
A 160 ft. long wire has a resistance of 16.2 12. What would the resistance of 8 ft. of wire be?
Answer: Resistance = 0.8106 ohms.
Step-by-step explanation:
Electrical resistance is proportional to the length of a wire.
The relationship between resistance and length of a wire can be expressed as;
L1/R1 = L2/R2
Let L1 = 160 ft, R1 = 16.212 ohms
L2 = 8ft, R2 = ?
Substitutes all the parameters values into the formula
160/16.212 = 8/R2
Cross multiply
160R2 = 129.696
R2 = 129.696/160
R2 = 0.8106 ohms.
Therefore, the resistance of 8 ft. of wire will be 0.8106 ohms.
HELP!!Which expression has the same value as -18 divided by ( -9)? A. -18 divided by 2 B. -12 divided by (-3) C. -10 divided by 5 D. -8 divided by (-4)
Answer:
DStep-by-step explanation:
-18/-9=2
A:
-18/2=-9
B:
-12/-3=4
C:
-10/5=-2
D:
-8/-4=2
Thus the answer is D
y=-2
x=-2y=6
y=-2
x+2y=6
x=-2
2x-y=3
x=-2
2x+y=-3
Answer:x+y=24
is the respuesta
6,000 = bu + 4,000. Given the above equation with constant b, what is the value of 600,000 + 100 bu + 400,000 in millions?
Answer:
1.2 million
Step-by-step explanation:
First multiply the equation by 100. You get:
600,000 = 100bu + 400,000
Now recognize that you can substitute:
600,000 + 100bu + 400,000
= 600,000 + (600,000)
= 1,200,000
That’s 1.2 million.
The value of the equation given is 1.2 millions.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,
So, In the equation 1, multiply by 100, we get,
6,000 = bu + 4,000
600000 = 100 bu + 400000
Now, put this in equation 2,
600,000 + 100 bu + 400,000
= 600000 + 600000
= 1200000
= 1.2 millions
Hence, the value of the equation given is 1.2 millions.
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In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the value of x?
Answer:
x = 12
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side
14x + 12 = 180 ( subtract 12 from both sides )
14x = 168 ( divide both sides by 14 )
x = 12
What percent of the rectangle below is shaded?
Answer:
80% of the rectangle is shaded.
Step-by-step explanation:
There are 10 rows and of those rows 8 are shaded.
Answer:
D
Step-by-step explanation:
80/10
10 20 30 40 50 60 70 80 90 100
8 shaded so 80 percent
Suppose that public opinion in a large city is 62% in favor of increasing taxes to support the after-school programs and 38% against such an increase. If an interview of the random sample of 450 people from this city is conducted, what is the approximate probability that more than 180 of these people will be against increasing taxes?
Answer:
19.21%
Step-by-step explanation:
What we must do is calculate the z value in order to find the probability.
We have that z is equal to:
z = (x - n * p) / (n * p * q) ^ (1/2)
where x is the value to evaluate and is 180, n random sample that is 450 and p that is the probability that is 38 and q the complement of p, therefore it is 62%, we replace:
z = (180 - 450 * 0.38) / (450 * 0.38 * 0.62) ^ (1/2)
z = 0.87
increasing taxes = P (x> 180)
= P (z> 0.87)
= 1 - P (z <= 0.87)
= 1 - 0.8079
= 0.1921
In other words, the probability is 19.21%
Answer:
P (z> (0.4 - 0.38) / SQUARE ROOT OF (0.62*0.38)/450)
Step-by-step explanation:
Got it right! If you calculate this, you actually will get 19.21%, as the previous answer states.
Earned 5 points, have a lovely day!
The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33
Answer: 3/21=1/7
Step-by-step explanation:
Jason’s budget is shown in the circle graph below. His total monthly budget is $3,000. How much does Jason spend on groceries?
A $25
B $150
C $450
D $750
Answer:
D.) 750
Step-by-step explanation:
3000-25%= 2250
3000-2250=750
Answer:
(D) $750
Step-by-step explanation:
[tex]3000* 0.25=750[/tex]
A frequency table for the 30 best lifetime baseball batting averages of all time is shown to the right. These data can be graphically displayed as a histogram. Which of the following graphs correctly displays the data from the table? A. Graph A B. Graph B C. Graph C D. Graph D E. Graph E
Answer:
Graph A
Step-by-step explanation:
Graph B correctly displays the data from the table. So, the correct option is B.
What is Graph?A graph is a framework made up of a number of things, some of which are paired together to form "related" objects. The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
The term "graph" designates a functional graph or "graph of a function," often known as a plot. A graph is an arrangement of points and lines linking some (potentially empty) set of them in mathematical parlance.
Class 0.330 - 0.339 has the highest incidence in the table provided in the question, followed by class 0.340 - 0.349, and then class 0.350 - 0359.
The lowest frequency belongs to classes 0.320-0.329 and 0.360-0.369, and both classes share the same frequency.
Therefore, the correct option is B.
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SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
243,729
Step-by-step explanation:
You just need to multiply each number by 3.
I hope this help you :)
Answer:
243, 729
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
1, 3, 9, 27, 81,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
1 - first term
3 - second term
1 ? ? = 3
1 × 3 = 3
So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
1, 3, 9, 27, 81,...
1 × 3 = 3
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
So, since 'multiply three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
81 × 3 = 243
243 × 3 = 729
Therefore, the next two terms in the sequence are 243, 729.
If 3* = 54, then which of the following must be true?
Answer: 3 < pi < 4
Step-by-step explanation:
Helpppppppp??????????
Answer:
Answer is option d
Answer is given below with explanations.
Step-by-step explanation:
We can prove that the two triangles are similar.
We can prove this using AA criterion of similarity.
In triangle DNC and triangle QSC
Vertically opposite angles are equal.
Then Angle QCS = Angle DCN
Two parallel lines cut by a transversal line make the alternate angles are equal.
Then Angle NDC = Angle CQS
By AA criterion of similarity
TRIANGLE DNC ~ TRIANGLE QSC
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
What is the solution to -2(8x - 4) < 2x + 5?
O x>
O x<
X>6
x < 6
Answer:
1/6 <x
Step-by-step explanation:
-2(8x - 4) < 2x + 5
Distribute
-16x +8 < 2x+5
Add 16x to each side
-16x+16x +8 < 2x+16x+5
8 < 18x +5
Subtract 5 from each side
8-5 <18x
3 <18x
Divide by 18
3/18 <x
1/6 <x
-2(8x - 4) < 2x + 5
Expand the brackets.
-16x +8 < 2x + 5
Add -2x and -8 on both sides.
-16x -2x<5-8
-18x<-3
Multiply both sides with -1 (reverse the inequalty).
18x>3
Divide 18 into both sides.
18x/18>3/18
x>1/6Construct line m such that the y-coordinate of every point is 1 1/2 and construct line n such that the z-coordinate of every point is 5 1/2
Answer:
Check below
Step-by-step explanation:
Hi there!
1)Assuming that we're dealing with a Three Dimensional plane, with their three axes xyz.
To construct a line m in which every y-coordinate is y= [tex]1\tfrac{1}{2}=\frac{3}{2}=1.5[/tex], to have the y -coordinate will be constant on [tex]1\tfrac{1}{2}[/tex].
Similarly, the same for the line n with its z-coordinate fixed on [tex]5\tfrac{1}{2}[/tex]
2) Since we're on a 3D plane with not two but three axes x, y, and z, the line in 2D (just x and y view) will be seen as planes. Check the second picture, please.
The parabola whose equation is
y = ax2 + bx + c passes through the points
(-3, -40), (0, 29), and (-1, 10). What is an
equation of the line of symmetry?
PLEASE EXPLAIN bc I really don’t understand
Answer:
29
Step-by-step explanation:
23
can you divide by zero
Answer:
No
Step-by-step explanation:
When you divide by 0, you will get an undefined error. When you try to graph a divide by 0, you will get asymptotes.
Answer:
no
Step-by-step explanation:
Which of the following are solutions to lx-1|=5x+2? Check all that apply
Answer:
x=-3/4 x=-1/4
Step-by-step explanation:
x-1=5x+2
-3=4x
x=-3/4
x+1=5x+2
-1=4x
x=-1/4
idk so help pls
10 point
Answer:
30 milk chocolates
Step-by-step explanation:
42 ÷ 7 = 6 - a fraction of the chocolates
6 x 5 = 30 - the milk chocolates (7+5 = 12 which is the whole fraction).
A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). The center of dilation is the origin and (x, y) changes to (3x, 3y). What are the vertices of the dilated image?
Answer:
(-15,12),(6,18)(12,-9)
Step-by-step explanation:
Given
A (-5, -4), B (2, 6), and C (4, -3)
Dilated from (x,y) to (3x,3y)
Required
Vertices of the dilated image
First, the scale factor has to be calculated
This is calculated as thus;
Dilation = Original * Scale Factor;
In case of (x,y) to (3x,3y)
So, we have
[tex](3x,3y) = Scale\ Factor * (x,y)[/tex]
Simplify brackets
[tex]3(x,y) = Scale\ Factor * (x,y)[/tex]
Divide both sides by (x,y)
[tex]\frac{3(x,y)}{(x,y)} = \frac{Scale\ Factor * (x,y)}{(x,y)}[/tex]
[tex]\frac{Scale\ Factor * (x,y)}{(x,y)}=\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =3[/tex]
Now, the vertices of the new image can be calculated;
Using the formula: Dilation = Original * Scale Factor;
At vertex A(-5,4)
Dilation = (-5,4) * 3
Dilation = (-5*3 ,4*3)
Dilation = (-15,12)
At vertex B(2,6)
Dilation = (2,6) * 3
Dilation = (2*3 ,6*3)
Dilation = (6,18)
At vertex C(4,-3)
Dilation = (4,-3) * 3
Dilation = (4*3 ,-3*3)
Dilation = (12,-9)
Hence, the vertices of the dilated image are (-15,12),(6,18)(12,-9)
If P(x,y) is the point on the unit circle determined by real number 0, then tan0=
Answer: 0
Step-by-step explanation:
You can solve for tangent by dividing sin by cos.
Looking at the unit circle, at 0, sin is 1 and cos is 0, so you would simply have 0/1, which equals zero.
Answer:
y/x. Just took a quiz and this was the answer