Answer:
The Correct Answer is: A
Step-by-step explanation:
A: No Solutions
This is the correct answer.
I really hope that this answer will help anyone in need of an answer.
Thank you!!
Amelia has a savings account that has an annual yield of 5.2%. Find the balance of the account after each of the first five years if
her initial balance is $2000.
Answer:
Balance of the account after 5 year = $2,577 (Approx)
Step-by-step explanation:
Given:
Initial deposit = $2000
Annual yield (r) = 5.2% = 5.2 / 100 = 0.052
Number of year (n) = 5 year
Find:
Balance of the account after 5 year = ?
Computation:
[tex]Amount = Initial\ deposit(1+r)^n\\\\Amount = 2,000(1+0.052)^5\\\\Amount = 2,000(1.052)^5\\\\Amount = 2,000(1.28848302)\\\\Amount = 2,576.96604[/tex]
Balance of the account after 5 year = $2,577 (Approx)
What percent of the students, who have a computer, do not have a phone?
Answer:
if it was out of all of the data it would be 76 / 300
The population of Gilbert increased 275%. Which of the following are equivalent to 275%?
257
27 1\2
The 2 3/4 or 2.75 is equivalent to 275%.
What is Percentage?The percentage formula is used to calculate the amount or percentage of anything in terms of 100. Percentage indicates "per hundred" in its most basic form. The percentage formula is used to express a number between zero and one. It is a number that is expressed as a fraction of 100. It is represented by the sign% and is mostly used to compare and find ratios.
The population of Gilbert increased by 275%. The equivalent to 275% will be:
To express as fraction and decimal, we divide 275 by 100.
= 275/100
= 2 3/4
= 2 + 0.75
= 2.75
So, the equivalent fraction is 275% = 2 3/4 or 2.75.
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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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What is the equation of the graph below?
On a coordinate plane, a curve goes through (0, 0). It has a maximum of 1 and a minimum of negative 1. It goes through one cycle at StartFraction 2 pi Over 3 EndFraction
y = sine (StartFraction x Over 3 EndFraction)
y = sin(3x)
y = sin(0.3x)
y = sine (StartFraction 2 x Over 3 EndFraction)
Answer:
B
Step-by-step explanation:
just took the test on edge
By using the given information, the period particularly, we conclude that the function is y = sin(3x).
What equation describes the given graph?
First, we know that:
The function goes through (0, 0).The maximum is 1The minimum is -1With these 3 considerations, we know that the function is something like:
y = sin(k*x)
So we only need to find the value of k.
We also know that the period of the function is: (2/3)*pi
This means that:
sin(k*(x + (2/3)*pi) = sin(k*x)
Remember that the period of the sine function is 2pi, then:
k*(2/3)*pi = 2pi
k/3 = 1
k = 3
Then the function is:
y = sin(3x).
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What are the solutions to the equation 0 = x2 - X-6? Select two options
X=-3
X=-2
Ex=0
x=2
X = 3
Step-by-step explanation:
x2 - x - 6 = 0
x2 - 3x + 2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
x - 3 = 0. x + 2 = 0
x = 3 x = - 2
Option no 2 and 5 are the correct answer
What is the value of x?
16
34
4 cm
8.5 cm
What’s the area ?
Answer:
34 square cm.
Step-by-step explanation:
I am assuming by the number of measurements given that the shape is a rectangle.
[tex]\text {Formula for area of a rectangle: }A = w * l[/tex]
With 4 as the width and 8.5 as the length:
[tex]4*8.5 = 34[/tex]
The rectangle should be [tex]34cm^2.[/tex]
Which of the following represents the range if the function g(x) below? G(x) = 5(x - 2) ^ 2 - 7
Answer:
[-7,∞)
Step-by-step explanation:
This function is a parabola that has a positive coefficient, so the parabola will open upwards (or make a smile if you want to call it that). The vertex is located at (2,-7) because of the vertex equation, so you know that the y values are greater than or equal to -7.
The floor of a rectangular shelf has a length 5 feet greater than its width. James will increase both dimensions of the shelf by 3 feet. As an expression, how much more is the new area compared to the original area of the floor of the shelf?
Answer:
area of shelf=x*x+5=x²+5x
new area=x+3*x+8=x²+11x+24
the new area is 6x+24 more than original
Step-by-step explanation:
hope this helps
I need help with this math problem please
Ok where is the question
hi what is the answer
Answer:
A = 176.63 cm²
Step-by-step explanation:
Area of circle = π r ²
A = (3.14)(7.5)²
A = (3.14)(56.25)
A = 176.63 cm²
Answer:
Area of circle = pi x radius^2 = 3.142 x 7.5^2 = 176.74 (cm2)
Hope this helps!
:)
find the value of (27)^2/3
Answer:
9
Step-by-step explanation:
27 = 3³
27^⅔
3³^⅔
3^(3×2/3)
3²
9
A cube is a rectangular prism with the same measurement for length, width and height. If a cube is 6
inches tall, what is its volume?
Answer:
216 inches cubed
Step-by-step explanation:
To find the volume you need length times width times height. Since it is a cube it would be 6 inches * 6 inches * 6 inches which is 216 inches cubed.
Volume of the cube is 216 cubic inch
What is Cube?A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex
What is Rectangular prism?A rectangular prism is a 3D figure with 6 rectangular faces
What is Volume?Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface
Given,
A cube is a rectangular prism with the same measurement for length, width and height
Height of the cube h= 6 inches
Length of the cube l= 6 inches
Width of the cube w= 6 inches
Volume of the cube = l× w × h
Volume of the cube = 6×6×6 =216 cubic inch
Hence the volume of cube is 216 cubic inch
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Help please. If I get the answer right you will get brainliest
Answer:
x [tex]\geq[/tex] -4
Step-by-step explanation:
-7x+13≥41
-13 -13
-7x ≥ 28
-7 -7
x ≥ -4
How many solutions does this system have?
2x+3y=-3
3x+6y=-9
one
two
an infinite number
no solution
Step-by-step explanation:
I think the answer is one
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
Can anyone help me out with number one?
Answer:
[tex]232 cm^{2}[/tex] (B.)
Step-by-step explanation:
Don't overwhelm yourself. Take a deep breath and look at the triangle that has the height of 14 cm.
Recall that the area of a triangle is A= 1/2bh
The base of the triangle is 8 cm, if you eyeball it with the square. The height is given as 14.
1/2 (14)(8)
= 56 cm^2 x 2
= 112 cm^2
Great! We found two of the triangles (there are two of these, look at the paper)
Now let's take a look at the second triangle with the height of 12 cm.
Eyeball the base, which is 6 cm from the square in the middle.
1/2 (6)(12)
= 36 x 2
= 72 cm^2 (there are two of these triangles)
The easy part comes. The area of a square is simply
A= bh
= (6)(8)
= 48 cm^2.
ADD 'EM UP
48 + 72 + 112
= 232 cm^2
Answer:
B) 232
Step-by-step explanation:
Do 14 x 8 to find the top and bottom triangle. 112. Then do 12 x 6 to find the left and right triangle. 72. The find the area of the rectangle 6 x 8 = 48. Add up all the answers. 112 + 72 + 48 = 232 is the answer.
A bag holds 10 blue marbles, 2 white marbles, and 8 red marbles. Without looking into the bag, William selects a marble and then returns it to the bag. If he selects 2 marbles in this way, what is the probability that both will be blue?
A.10%
B.25%
C.50%
D.75%
Answer: C
Step-by-step explanation:
Because 8 + 2 = 10 and that is half and blue is the other half so it’s 50%
Bobby has 3 hats, 5 shirts, 10 pairs of pants, and 6 pairs of shoes, how many different outfits does Bobby have?
Answer:
900
Step-by-step explanation:
3*5*10*6=900
Consider a single spin of the spinner.
Which events are mutually exclusive? Choose all that apply.
a
landing on an unshaded sector and landing on a number less than 2
b
landing on a shaded sector and landing on a 3
c
landing on an unshaded portion and landing on an odd number
d
landing on a shaded sector and landing on an even number
e
landing on a shaded sector and landing on a number greater than 3
The question is incomplete
Find attached to the question, the appropriate diagram
Answer:
a) landing on an unshaded sector and landing on a number less than 2
b) landing on a shaded sector and landing on a 3
Step-by-step explanation:
Mutually exclusive events are two events that can occur separately on their own but they cannot occur together or at the same time.
The options given are explained below:
We have two shaded sectors: 1 and 4
We have two unshaded sectors : 2 and 3
a) landing on an unshaded sector and landing on a number less than 2
Looking at option a, we find out that it is possible for the spinners to land on an unshaded sector separately likewise on a number less than 2 but it cannot land on an unshaded sector AND and number less than 2 because looking at the spinner, the numbers on the unshaded sectors are 2 ( is equal to two) and 3 ( which is above 2).
Therefore this option is mutually exclusive and correct.
b) landing on a shaded sector and landing on a 3
It is possible to land on a shaded sector likewise it is possible to land on a 3 but it is not possible to land on a shaded sector and land on a 3 at the same time.
This is because, the number on the shaded sector is 1 and 4 and the number on the unshaded sector is 2 and 3, we have only one spinner so the spinner can only land on one sector at a time.
Therefore, Option b is a mutually exclusive event and it is a correct option.
c) landing on an unshaded portion and landing on an odd number
The unshaded portion on the spinner has number 2 and 3 on them, therefore it is possible to land on an unshaded portion and odd number which is 3 at the same time.
Option c is not a mutually inclusive event and it is wrong.
d) landing on a shaded sector and landing on an even number
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and even number which is 4 at the same time.
Option d is not a mutually inclusive event and it is wrong.
e)landing on a shaded sector and landing on a number greater than 3
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and a number greater than 3 which is 4 at the same time.
Option e is not a mutually inclusive event and it is wrong.
Therefore, option a and option b are mutually exclusive events and they are correct.
Answer:
a. landing on an unshaded sector and landing on a number less than 2
e landing on a shaded sector and landing on a number greater than 3
Step-by-step explanation:
Two events ; for example events A and B are said to be mutually exclusive , if they cannot both occur simultaneously.In set theoretical notation , we say that the two sets A and B are disjoint set.
i.e
A ∩ B = ∅
Pr (A ∩ B) = 0
The intersection of A and B is an empty set and as such there is no intersection.
From the given options; option a and e are correct because ;
a.
landing on an unshaded sector and landing on a number less than 2
Landing on an unshaded portion would 2 or 3.
Landing on a number less than 2 would be 1.
There is no intersection and as such these events are mutually exclusive.
e.
landing on a shaded sector and landing on a number greater than 3
Landing on a shaded portion would be 1 or 4.
Landing on a number greater than 3 would be just 4.
The intersection of both events will be an empty set (∅)
As such these events are not mutually exclusive.
PLEASE HEP ASAP!! BRAINLIEST
What is the scale factor for this dilation? Show your work!
Answer:
2/3
Step-by-step explanation:
Distance MS = √[(6-(-3))²+(3-3)²]= 9
Distance M'S' = √[(4-(-2))²+(2-2)²] =6
scale factor = |M'S'| /|MS|= 6/9 = 2/3
What kind of sequence is this?
43, 86, 172, 344, ...
arithmetic
geometric
both
neither
Answer:
Geometric Sequence
Step-by-step explanation:
Hope this helps! Have a nice day!
Answer:
aa
Step-by-step explanation:
aa
help please now
The table below shows data from a random survey of juice preferences.
Types of Juice Number of People
Orange --------- 75
Apple --------- 110
Kale ---------- 65
Part A
Complete the probability model by listing the probabilities for each event based on the data recorded in the table.
S = { O, A, K}
Events ------------ Probabilities
Prefer orange ----- P(orange)= __ %
Prefer apple ------ P(apple)= __ %
Prefer kale -------- P(kale)= __ %
Part B
Based on the data, estimate how many of 400 juice drinkers will prefer apple juice.
The number of juice drinkers who prefer apple juice is __
Answer:
Part A
30
44
26
Part B
176
Step-by-step explanation:
Total: 65+110+75 = 250
P(O) = 75/250 × 100 = 30%
P(A) = 110/250 × 100 = 44%
P(K) = 65/250 × 100 = 26%
Apple juice:
44% of 400
44/100 × 400
176
Please help and explain. Thank you :)
Answer:
= 6^13
Step-by-step explanation:
6^3 • 6^10
= 6^3 • 6^10
= 6^(3 + 10)
= 6^13
Answer:D
Step-by-step explanation:
A. 6^3 * 6^10 = 6^13
It has the same base so you will make it stay the same and add the exponents.
I will mark brainliest but I am in a hurry
What is the solution to the equation x/6 =4/12?
x = 1
x = 2
x = 4
x = 6
Answer:
X=2
Step-by-step explanation:
12 divided by 6 is two, cut 4 in half it's 2
How many triangles exist with the given angle measures?
Answer:
The answer would be one triangle. it is only one triangle because the sum of the angles of any triangle have to equal 180°. So if you add all of the angles you gave us, that would equal 180°.
I hope that was the answer you were looking for.
Step-by-step explanation:
Find the value of x and y. Will mark brainliest.
Answer:
17 = x
25 = y
Step-by-step explanation:
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:
Using the triangle below, what is Cos A?
Answer:
a\b
Step-by-step explanation:
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