Answer:
B. 91
Step-by-step explanation:
When you add all the test scores you get 455, then you have to divide by how many test scores there were (5) and then you get 91.
Hope this helped! Have a good day!
Help! Please answer the question below!
Evaluate (if possible) the six trigonometric functions of the real number t. (if an answer is underfunded, enter UNDEFINED)
T= 4 π/3
Sin t=
Cos t=
Tan t=
Csc t=
Sec t=
Cot t=
Answer:
Step-by-step explanation:
sin= - square root 3/2
cos= -1/2
tan= square root 3
csc= -2 square root 3/2
sec= -2
cot= square root3/4
Answer:
[tex]\sin\left(\frac{4\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\frac{\sqrt{3}}{3}[/tex]
We first find the corresponding angle of 4π/3.
[tex]\frac{4\pi}{3}-\pi=\frac{\pi}{3}[/tex]. And 4π/3 is in the third quadrant. There tan and cot are positive and rest are negative.
[tex]\sin\left(\frac{4\pi}{3}\right)=-\sin\left(\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\cos\left(\frac{\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\tan\left(\frac{\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\csc\left(\frac{\pi}{3}\right)=-\frac{2}{\sqrt{3}}=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-\sec\left(\frac{\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\cot\left(\frac{\pi}{3}\right)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
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Write an equation for the nth term of the arithmetic sequence 56, 48, 40, 32, ....
An equation for the nth term of the arithmetic sequence is an
Answer:
an = 56-8(n-1)
Step-by-step explanation:
This is an arithmetic sequence
The common difference is 48 - 56 =-8
a1 = 56
an = a1+d(n-1)
an = 56-8(n-1)
The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.
What is the geometric representation of the given integral?The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.
Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.
Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.
By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.
Learn more about integration
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The diagram shows a prism.
0.5 m
2 m
0.5 m
side elevation
2 m
2 m
front
side
front elevation
Draw the front elevation and the side elevation
of the prism on the grids.
Use a scale of 2 squares to 1 m.
Diagrams can be drawn using scale ratios, which can either represent enlargement or compression
The dimensions of the side elevation are given as:
0.5 m, 2 m and 0.5 m
The dimensions of the front elevation are given as:
2 m and 2 m
Using a scale of 2 squares to 1 m, the scaled dimensions become:
Side elevation: 1 square, 4 squares, 1 squareFront elevation: 4 squares and 4 squaresSee attachment for illustration of the scaled measurement
Read more about scales and dilations at:
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What is the product of the polynomials below?
(3x^2 - 2x - 3)(5x^2 + 4x + 5)
Answer:
15x^4+2x^3-8x^2-22x-15
Step-by-step explanation:
Answer:
Your answer is
5x^4+2x^3-8x^2-22x-15
Step-by-step explanation:
I just simplified
What is the probability of spinning blue on the image shown?
ITS ON THINK THRU MATH NEED HELP
Answer:
So for the first spinner, the probability of the arrow pointing to blue on a spin is 1/4, the probability of it pointing to green is 1/4 and so on. This assumes that each section is the same physical size.
Step-by-step explanation:
Answer:
Where is the picture
Step-by-step explanation:
please help mee! ill mark you brainliest! pleaseeee& thank qq!
Answer:172in
Step-by-step explanation:
Answer:
SA=172
Step-by-step explanation:
SA=2lw+2wh+2lh
=2(10)(2)+2(2)(5.5)+2(10)(5.5)
=172
Rounded to the nearest hundredths 27.5=3+5(k-9.5)
Answer:
12 = k
Step-by-step explanation:
Begin: 27.5 = 3 + 5 (k-9.5)
1. Always begin with the parenthesis, which is 5(k-9.5), which comes out to be 5k - 47.5 since the 5 must be multiplied by the k and the -9.5.
Now: 27.5 = 3 + 5k - 47.5
2. Combine the 3 and -47.5, which comes to be -44.5
Now: 27.5 = -44.5 + 5k
3. Add 44.5 to both sides, to make the right side have only the 5k, and the left side to have 72
27.5 + 44.5 = -44.5 + 44.5 + 5k
Now: 72 = 5k
4. Divide both sides by 5 to be left with just what k equals
72/5 = 5k/5
Final Answer: 12 = k
Please help need it in 1 hour plz help will mark brainleist
Answer:
I can not see the question
Step-by-step explanation:
The population of browns burg is 25000. In ten years, it is expected to grow by 8.5%. How many people will live there in ten years?
A bus took 1 hour and 30 minutes. How many minutes is that?
Answer: 90 mins
Step-by-step explanation:
1hr=60 mins+ 30 mins
Answer:
90 minutes.
Step-by-step explanation:
Conversion ratio of hours to minutes:
1 hour = 60 minutes.
Add the two numbers together:
60 minutes + 30 minutes = 90 minutes.
90 minutes is your answer.
~
Lilly found 40 seashells. She
put 10 seashells in each bucket. How many
buckets did Lilly use? Show your work.
--------- buckets
Answer:
4 buckets
Step-by-step explanation:
40 divided by 10 is 4
Answer:
4 bucket
Step-by-step explanation:
We can either use division or repeated subtraction in this case! Division is easier!
40/10 = 4
4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)
Plz help plzzzzzzzzz
Answer:
47.13cm
Step-by-step explanation:
2×3.142×7.5cm
Answer:
47.13
Step-by-step explanation:
c=2πr
c=2×3.142×7.5cm
c=6.284×7.5cm
c=47.13cm
The question is in the screenshot attached. Thank you!
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
Suppose matrix D is the inverse of matrix C. Which of the following is equal to D?
O CDD
O CCD
O DDD
O CCC
==========================================
Explanation:
C and D are inverses of each other. When they multiply together, they will produce the identity matrix I
C*D = I
D*C = I
note: this is the uppercase letter 'i' and not the number one. The 'i' stands for 'identity'. Another thing to note is that matrix multiplication is not normally commutative, but it works for matrix inverses.
--------------------
So this means C*D*D = (C*D)*D = (I)*D = I*D = D because multiplying the identity matrix with some matrix X leads to the same matrix X.
This is why the first choice is the answer.
The second choice doesn't work because C*C*D = C*(C*D) = C*(I) = C*I = C
The third choice doesn't work because we don't have any C's here. All we can say is that D*D*D = D^3
Similarly choice 4 doesn't work as all we can say is C*C*C = C^3.
Which of the following questions describes the equation g + (-4) = -5?
What number, when subtracted from negative four, is equal to negative five?
What number, when added to negative five, is equal to negative four?
What number, when subtracted from negative five, is equal to negative four?
What number, when added to negative four, is equal to negative five?
Answer:
What number, when added to negative four is equal to negative five.
Step-by-step explanation:
Rearange the numbers to get -4+g=-5.
This eqation now reads -4 plus a number g is equal to -5, and can also be read as what number (g) added to -4 = -5.
If we were to solve for g we would get g= -1.
Hope this helps!
G=-1 so
What number, when added to negative four, is equal to negative five
Evaluate functions
х
h(x) = 17+
6
h(-18) =
Answer:-1.277778 i think
Step-by-step explanation:
i think this means h(x) = (17+6)÷x
in which case h(-18) = (17+6)÷(-18) = -1.2777778
would help if you put the question in standard format
I need some help? :(
Answer:
imposable posable and all the way down like that
Step-by-step explanation:
Corresponding angles of AABC and ADEF are congruent. Does this prove that the triangles are congruent? Justify.
Answer:
Hi can you please tell of which grade question is this ?
Answer:
C
Step-by-step explanation:
Congruent corresponding angle makes triangle similar. For triangles to be congruent both the corresponding angles and the corresponding sides must be congruent.
does anyone know this
Answer:
x = 12.24
Step-by-step explanation:
In any circle the following ratio can be used.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex] , substitute values
[tex]\frac{1.88}{2(8.8)\pi }[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )
17.6π x = 276.8 ( divide both sides by 17.6π )
x = [tex]\frac{276.8}{17.6\pi }[/tex] ≈ 12.24
Answer:
12.24°
Step-by-step explanation:
I hope it helps :)
Domain: All real numbers
Domain: 3 > 0
Domain: X < 0
Range: All real numbers
Range: y > 0
Range: y < 0
Answer:
Domain: x >0
Range : y < 0
Step-by-step explanation:
Math question down below
Meghan needs to board her cats and dogs at a kennel while she is on vacation. Pet Hotel charges $42.50 for a cat and $64.00 for a dog for a total cost of $277.00. Animal Spa charges $35.50 for a cat and $50.50 for a dog, for a total cost of $222.50.
Write a system of equations to represent each charge. Let x represent the number of cats and let y represent the number of dogs.
Pet Hotel: ?
Animal Spa: ?
Answer:
Pet Hotel: 42.50 x + 64 y =277
Animal Spa: 35.50x + 50.5y = 225.50
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each place:
For Pet Hotel, the total cost (277) must be equal to the product of the number of cats (x) and the charge per cat (42.50) plus the product of the number of dogs (y) and the charge per dog (64) .
Mathematically speaking:
Pet hotel: 42.5 x + 64 y =277
Same process for Animal Spa:
Animal Spa: 35.5 x + 50.5y = 225.50
The system is:
42.5 x + 64 y =277 (Pet Hotel)
35.5 x + 50.5y = 225.50 (Animal Spa)
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g - 1)(3)?
O9-3-(4 + 3)2
6 -3 - (4 – 32)
6(3) - 4 + 32
6(3) - 4-32
ОО
Bess took several excellent pictures of Mount St. Helens' eruptions. She decided to sell her enlarged pictures at different prices from $3 to $5.
If she sold 50 pictures, which of these is a reasonable estimate of the money she could make?
O A $90 to $150
O B. $150 to $250
OC. $120 to $200
OD. $160 to $300
OE. $300 to $500
witch of the expressions below could be used to find the amount of space occupied by the cone
Answer:
V = 1/3 * πr²*h
Step-by-step explanation:
That's the formula for volume of a cone
The length of a rectangle is 3 units more than the width. The area of the rectangle is
40 units. What is the length, in units, of the rectangle?
Answer:
8 units for the length
Step-by-step explanation:
Let l = length
w = width
l = w+3
A = l*w
substitute what we know
40 = (w+3) *w
distribute
40 = w^2 +3w
Subtract 40 from each side
0 = w^2 +3w -40
Factor
0 = (w+8) (w-5)
Using the zero product property
w+8 =0 w-5=0
w= -8 w=5
Since the width cannot be negative
w=5
l = w+3 = 5+3
l = 8 units
You can buy 3 apples at the Quick Market for $1.35. You can buy 5 of the same apples at Stop and Save for
$1.00. Which place is the better buy?
Answer:
stop and save
Step-by-step explanation:
The reason for this is because if you can buy 5 apples for 1 dollar so that is 20 cents each but the other one is 45 cents for 1 apple at quick market
Answer:
stop and save because you can get two additional apples paying only 95 cents
Step-by-step explanation:
3x1.35= 4.05
5x1=5
Which are perfect squares? Check all that apply.
A) 9
B) 24
C) 16
D) 200
E) 169
F) 625
Answer:
A
Step-by-step explanation:
Answer:
A. 9
C. 16
E. 169
F. 625
Step-by-step explanation:
Find the decimal equivalent to 415.
0.26
0.2ModifyingAbove 6 with bar
ModifyingAbove2.6 with bar
ModifyingAbove2.6 with bar
Answer:
[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)
Step-by-step explanation:
We want to find the decimal equivalent of 4/15.
[tex]\dfrac{4}{15}=0.266666666.....[/tex]
Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:
[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]
The correct option is B.
Answer:
i got you bro the answer is 0.26 with a line on top of the 6
