9514 1404 393
Explanation:
A)
Let t and f represent the numbers of two-point and four-point questions, respectively.
__
B) The number of points for each type of question is the product of the point-value per question and the number of questions of that type.
2t + 4f = 100 . . . . . the test is worth 100 points
t + f = 40 . . . . . . . . there are 40 questions on the test
_____
Additional comment
The test will have 30 two-point questions and 10 four-point questions.
Does anyone know these answers?
Answer:
1. M
2. H
3. A
4. K
5. B
6. C
7. G
8. E
and so on
Step-by-step explanation:
definitions to know:
same side interior/exterior angles
vertical angles
alternate interior/exterior angles
corresponding angles
PLEASE HELP ME!!! ASAP SHOW YOUR WORK!!! Given cos x =√15/4 and 90°< x 180°, find the exact value for cos 2x
Answer:
x=34 because you simplify it and then take 45 and at it to it
Explain what a graph for Jed’s test scores {61%, 65%, 73%, and 79%} would look like if it was not misleading. Make sure it is different than Jed’s graph – that some may say is misleading.
Answer:
61
^
^
^ 65 73
^ 79 ^ ^
^ ^ ^ ^
-----------------------------------------------------------------------------------------------------------------
Test 1 Test 2 Test 3 Test 4
Answer: the test doesn't explain the order it was taken or dates. So it can be misleading
Step-by-step explanation:
Write the equation's of the lines using the given information
m=-2, (3, -7)
Answer:
y = -2x-1
Step-by-step explanation:
The formula for a line is [tex]y-y_{1} = m(x-x_{1})[/tex].
Plug in the information given in the problem: y-(-7) = -2(x-3)
So you get y+7 = -2x+6.
The final form you want needs to be equal to y (that means you want y by itself on the left side of the equals), so subtract 7 from both sides.
You get y = -2x-1
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-7})~\hspace{10em} m = -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-2}(x-\stackrel{x_1}{3}) \\\\\\ y+7=-2x+6\implies \blacktriangleright y=-2x-1 \blacktriangleleft[/tex]
rebecca has 12 photos she wants to hang side by side on her wall.
A. if she only wants to display 8 of the photos, in how many ways can she choose 8 photos she wishes to eventually display?
B. in how many ways can she arrange all 12 photos?
C. if rebecca wants to have the 10 out of 12 photos in specific places, how many ways could she order the 12 photos?
We want to find different ways of selecting and ordering elements. The answers are:
A) C = 395
B) combinations = 479,001,600
C) combinations = 239,500,800
First, we know that Rebecca has 12 photos.
A) She wants to choose 8 of these 12 photos, we want to see in how many ways she can choose these 8 photos.
Remember that for a set of N elements, the number of different combinations of K elements (such that K is smaller than N) is given by:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
Here we have N = 12 and K = 8, then:
[tex]C(12, 8) = \frac{12!}{(12 - 8)!*8!} = \frac{12!}{4!*8!} = \frac{12*11*10*9}{4*3*2*1} = 495[/tex]
So there are 495 different ways of choosing 8 photos out of the 12.
B) Now we want to see in how many ways she can arrange all 12 photos.
The first photo can be any one of the 12, so there we have 12 options.The second photo can be any one of the remaining 11 (so we have 11 options).The third photo can be any one of the remaining 10, and so on.The total number of combinations is just the product between the numbers of options, we got:
[tex]combinations = 12*11*10*9*8*7*6*5*4*3*2*1 = 479,001,600[/tex]
C) Now we must combine the two things we did before, first, we select 10 out of the 12 photos, and then we want to find in how many ways we can arrange these 10 photos.
[tex]C(12, 10) = \frac{12!}{(12 - 10)°*10°} = \frac{12*11}{2} = 66[/tex]
And we multiply this by the total number of arrangements of these 10 photos, that is just given by 10!, so we get:
[tex]c = 66*10! = 66*(10*9*8*7*6*5*4*3*2*1) = 239,500,800[/tex]
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A stream drops 30 feet in elevation over a horizontal distance of 2640 feet. What is the stream gradient
The stream gradient of a stream that drops 30 feet in elevation over a horizontal distance of 2640 feet is 0.01136363636.
Stream gradient is the ratio of drop in elevation of a stream per units horizontal distance. Therefore,
stream gradient = vertical change in elevation / horizontal distance
where
vertical change in elevation = 30 feet
horizontal distance = 2640 feet
stream gradient = 30 / 2640
stream gradient = 0.01136363636
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help on theses two pls I appreciate it here is 50 points , reporting if you write anything and not writing the answer .
Answer: hi , b other one b too
Answer:
19) b
20) b
Step-by-step explanation:
Plsss help I will give you the branlyest answer
Answer:
4 1/4 is the answer u want
Help help help help help help soon people help
Answer:
A'(5,1)
B'(6,-3)
C'(2,3)
Step-by-step explanation:
assuming the translation is right 3, just add 3 to each x value
A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90° counterclockwise about the origin. What are the first roles of the image of the triangle?
The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).
Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).
If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have (2, 13),(2, 7), and (-6,7).
If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).
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Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours
my graph is the y axis is 1000 and the x axis is 20
Hi there!
We can begin by writing an equation for each company.
Let x = number of hours
Company A:
y = 250 + 50x (hourly rate is $50)
Company B:
y = 150 + 75x (hourly rate is $75)
We can set the two equations equal to each other to find their intersection point:
250 + 50x = 150 + 75x
Solve for x:
250 - 150 = 75x - 50x
100 = 25x
x = 4
Solve for y by plugging x into an equation:
y = 150 + 75(4) = 150 + 300 = 450
Thus, the lines intersect at (4, 450)
4 hours ⇒ $450 dollars
How many numbers less or equal to 300 are divisible by 3, 4, or both, but not by 9?
The numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are 142.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a 3 - digit number as 300.
Assume that the numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are [x].
Sequence of numbers divisible by 3 -
3, 6, 9, 12, ...., 300
300 = 3 + (n - 1)3
297 = 3n - 3
n(3) = 100
Sequence of numbers divisible by 4 -
4, 8, 12, ..., 300
300 = 4 + (n - 1)4
296 = 4n - 4
n(4) = 75
Sequence representing numbers less than 300, divisible by 9 -
9, 18, 27, ..., 297
297 = 9 + (n - 1)9
n(9) = 33
So, the numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are -
[x] = n(4) + n(3) - n(9)
100 + 75 - 33
175 - 33
142
Therefore, the numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are 142.
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1
The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units.
Procedure - Determination of the volume of a solid of revolutionLet [tex]f(x) = 1[/tex], [tex]g(x) = x^{1/2}[/tex] and [tex]h(x) = x^{2}[/tex], both [tex]g(x) [/tex] and [tex]h(x)[/tex] have the following intersection points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (1,1)[/tex]. This means that the interval of x-coordinates for the solid of revolution is [tex]x \in [0, 1][/tex].
The integral formula for the volume of the solid of revolution ([tex]V[/tex]), in cubic units, is:
[tex]V = \pi \int\limits^{1}_{0} {[h(x)-f(x)]^{2}} \, dx - \pi \int\limits^{1}_{0} {[g(x)-f(x)]^{2}} \, dx [/tex] (1)
After substituting on each function and simplifying terms we get the following integral:
[tex]V = \pi \int\limits^{1}_{0} {(x^{2}-1)^{2}} \, dx - \pi \int\limits^{1}_{0} {(x^{1/2}-1)^{2}} \, dx [/tex]
[tex]V = \pi\left[\int\limits^{1}_{0} {x^{4}} \, dx - 2\int\limits^{1}_{0} {x^{2}} \, dx -\int\limits^{1}_{0} {x} \, dx + 2\int\limits^{1}_{0} {x^{1/2}} \, dx \right][/tex]
And the volume of the solid of revolution is:
[tex]V = \pi \cdot \left(\frac{1}{5}-\frac{2}{3} -\frac{1}{2}+\frac{4}{3} \right)[/tex]
[tex]V = \frac{11\pi}{30} [/tex]
The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units. [tex]\blacksquare[/tex]
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the 7th term of a Gp is 192 and it common ratio is 2 find the first term
[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}[/tex]
What is the weight of a dry substance in 150 g of a 3% substance solution?
4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.
The function f(x) = mx + 5 is its own inverse. Find the value of m?
mx + 5 = (x - 5) / m
mx + 5 = x/m - 5/mAnswer:
Step-by-step explanation:
first find the inverse equation
y = mx + 5
y - 5 = mx
(y - 5) / m = x
(x - 5) / m = f⁻ˣ(x)
The original function is a line with slope m and y intercept of 5
The inverse function is a line with a slope 1/m and x intercept of 5
so the common line is where m = 1/m
m = 1/m
m² = 1
m = ± 1
The only line with a common slope between these two options is when
m = -1 and y intercept is 5
HELP QUICK!!! I Really need the answer l'll give you ten points.
The second of three numbers is 5 times the first. The third number is 3 more than the second. If the second is decreased by twice the third, the result is -21. Find the Three numbers
Answer:
tag archives and records and counting the days
Answer:
1st number is 6
2nd number is 30
3rd number is 33
Step-by-step explanation:
Let x be the first number.
The second of three numbers is 5 times the first = 5x
The third number is 3 more than the second = 5x + 3
If the second is decreased by twice the third, the result is -21.
Multiply the third number by 2.
2(5x + 3)
= 10x + 6
Subtract the second number to it.
(5x)-(10x + 6) = -21
-5x - 6 = -21
Use APE or Addition Property of Equality
-5x = -21 + 6
-5x = -15
Use DPE or Division Property of Equality to get the value of x
[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]
x = 3
Now put the value of x in the equation
first number(x) = 6
second number(5x) = 5(6) = 30
third number(5x + 3)
5(6) + 3
30 + 3 = 33
simplify
21m^2−122m+112/9m^2−196
Answer:
3m-8/7m+14
Step-by-step explanation:
If ACD and BAC are alternate interior angles and mACD=101°
Answer is A. 101°
Step-by-step explanation:
If an opossum is 40 cm long, and a bat is 20 cm long. So an opossum is how many times as long as a bat?
40/20=2
So an opossum is 2 times as long as a bat
A caterer needs between 42 and 50
cupcakes for dessert. Name two possible
numbers between 42 and 50 that are
multiples of 4. Explain.
Answer:
404 & 408
Step-by-step explanation:
Jenna's basketball team is behind by eleven points. If their team makes a three-point shot, they will need to score
another
polnts to tie the game.
zero
fourteen
eight
eleven
Answer:
8
Step-by-step explanation:
11-3=8
11-3=8 must subtract for anser
Help me plsssssss jdhdhdhdud
Answer:
5/2
Step-by-step explanation:
c (constant of proportionality) = y/x = 5/2 in this case
Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per year. The turbines were upgraded, and now their average annual output is 30% more.
What is the new average yearly output?
kilowatt hours=
30% × 390 = 117
= 390 - 117
= 507 kw/h
(7 x 10^-6)(7 x 10^-6) pls help <:D
we have (7 x 10^-6)(7 x 10^-6) = (7 x 10^-6)^2 = 49 x 10^-3 = 0.049
ok done. Thank to me :>
Use a table to find the solution to the situation.
Stan needs a mime. Mime A is offering his services for an initial $150 in addition to $25 per hour. Mime B
is offering her services for an initial $45 in addition to $40 per hour. When will the two mimes charge the
same amount of money?
The two mimes will charge the same amount of money after
hours.
Answer:
The answer is 3 hours
Step-by-step explanation:
If the area of rectangular plot is 200 cm and its length is 10 m. find out its breadth.
Answer:
The area of a rectangle is A=l x w.
So, 200=10 x w
Divide both sides by 10.
20 = w
The width of the rectangle is 20 m.
:)
Which equation is an identity?
A)
3x + 4 = 5x - 1
B)
2x + 3 = 2x + 4 - 1
C)
5x = 10
D)
- 3x + 1 = -3x - 5
Answer:
B) 2x + 3 = 2x + 4 - 1
Step-by-step explanation:
A) 3x + 4 = 5x - 1
2x = 5
x = 2/5
B) 2x + 3 = 2x + 3
True
C) 5x = 10
x = 2
D) -3x + 1 = -3x - 5
False
Johnny Rockefeller had a bad credit rating and went to a local cash center. He took out a $100.00 loan payable in two weeks for $107.50. What is the percent of interest paid on this loan?
Answer:
7.5% Because out of 100 parts there are an additional 7.5 of them. Good luck mate.