Well... for starters:
[tex]
\frac{5}{2}=5\times\frac{1}{2} \\
\frac{5}{2}=\frac{5}{1}\times\frac{1}{2}
[/tex]
And the rule is [tex]\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}[/tex]
Therefore:
[tex]\frac{5}{2}=\frac{5\times1}{1\times2}\Longrightarrow\boxed{\frac{5}{2}=\frac{5}{2}}[/tex]
sammy earns $18.50 in two hours of work at this rate how much will he earn for 7 hours of work
Please mark me as brainliest if this answer is correct and nobody tops it.
So, 18.50/2 = 9.25, so you can just multiply 9.25 by 7
9.25 · 7 = 64.75.
So Sammy earned $64.75, hope she buys something nice for herself with it. :)
Find the dimensions of a rectangle whose width is 6 miles less than its length and whose area is 112 square miles.
Answer:
Step-by-step explanation:
Be the sides x[tex]x, x+6[/tex] you know [tex]x(x+6) = 112[/tex] or [tex]x^2 +6x -112 = 0[/tex][tex]x= -3 \pm \sqrt{9+112} = -3\pm 11[/tex] the solution is [tex]x=8, x=-14[/tex] The negative answer is to be discarded, your rectangle has sides 8 and [tex]8+6=14[/tex] miles
The length of the rectangle is 14 miles and the width of the rectangle is 8 miles.
How to find the area and the perimeter of a rectangle?For a rectangle with length and width L and W units, we get:
Area of the rectangle = (L × W) unit^2
Perimeter of the rectangle = 2(L + W) units
Let the width of the rectangle be represented by W, while the length is represented by L.
Given the width is 6 miles less than its length, therefore, the width can be written as,
W = (L - 6) miles
Now given the area of the rectangle is 112 sq. miles, therefore, the area of the rectangle can be written as,
Area of the rectangle = Length × Width
112 = L × W
112 = L × (L-6)
112 = L²-6L
L = 14, -8
Since the length, L can not be negative, the value of L is 14 miles, therefore, the width will be 8 miles.
Hence, the length of the rectangle is 14 miles and the width of the rectangle is 8 miles.
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Which equation can be used to find the value of x?
the answer is B. hope this helps.
Answer:
the answer is B)
Step-by-step explanation:
Dmitri's mom is making him a yent to use for backyard camp outs with his friends. How much material will Dimitri's mom need for the tent, including the floor
Answer:
The answer is 21.4.
Step-by-step explanation: Thank me later :)
Answer:
21.4
Step-by-step explanation:
Identify the sine function with the given attributes.
amplitude: 1; period: 2; phase shift: 3; vertical shift: 4
Answer:
Last option
[tex]f(t)=sin(\pi(t -3)) + 4[/tex]
Step-by-step explanation:
The general sine function has the following form
[tex]y = Asin(bt-\phi) + k[/tex]
Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.
[tex]\frac{2\pi}{b}[/tex] is the period: time it takes the wave to complete a cycle.
k is the vertical displacement.
[tex]\phi[/tex] phase shift
We know that:
amplitude: 1; period: 2; phase shift: 3; vertical shift: 4
Thus:
[tex]A =1[/tex]
[tex]\frac{2\pi}{b}=2[/tex]
[tex]b=\pi[/tex]
[tex]\phi=3[/tex]
[tex]k=4[/tex]
Then the function is:
[tex]f(t)=sin(\pi(t -3)) + 4[/tex]
The answer is last option
What is the inverse of the function f(x)=2x-10?
A)h(x)=2x-5
B)h(x)=2x+5
C)h(x)=1/2x-5
D)h(x)=1/2x+5
Answer: Try D
Step-by-step explanation:
Find the probability. Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?
Answer:
3/36 (1/12) or 0.08333... or approximately an 8% chance of rolling a sum greater than 10 (i.e., sum of 11 or 12)
Step-by-step explanation:
There are 36 unique combinations of the 6 sides of the 2 dice
Roll a 1 and a 1 = one combination
Roll a 6 and a 6 = another combination
But roll a 2 and a 3 is treated as unique and different from rolling a 3 and a 2
If you create a 6 x 6 grid where you map out all the possible unique sum combinations of rolling two 6-sided dice you'll find at the very end/bottom of the grid that there are two ways to roll an 11 (5 then a 6; 6 then a 5) and only one way to roll a 12 (6 then a 6). That means there are 3 ways to get a sum greater than 10 out of 36 unique possible combinations
Can you guess why the sum of 7 is "Lucky Seven"?
Jennifer works part time making crafts. She is paid $12 for each plaque that she completes. One particular week, she made 30 plaques. Find her gross income for the week.
Answer:
360
Step-by-step explanation:
Jennifer earned a total of $360 by making 30 plaques in one week.
Explanation:The subject of this question is Mathematics. Your question is how much Jennifer earned for making 30 plaques in one week if she's paid $12 each. To find out, you simply multiply the number of plaques (30) by how much she earns for each one ($12). So, 30 plaques * $12/plaque = $360. Therefore, Jennifer's gross income for the week is $360.
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2, -2, 2, -2, . . . is an example of an infinite alternating sequence.
True Or
False
Answer:
True
Step-by-step explanation:
Because it is going back and forth it is
Please help me out ........!!!
Answer:
x= 437.3 ft
Step-by-step explanation:
1: You need to find the angle opposite of x. :
90-29 = 61 degrees.
2. Use the trig function sine and substitute values:
sin61= (x/500)
500sin61 = x
x=437.309 ft
Please help!
In circle Y, what is m?
82°
100°
106°
118°
Answer:
The correct option is: 82°
Step-by-step explanation:
In the given diagram, two chords [tex]RT[/tex] and [tex]SU[/tex] are intersecting.
According to the Angle of intersecting chord theorem, "If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle."
That means here......
[tex]94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°[/tex]
So, the measure of arc [tex]TU[/tex] is 82°
Last year, Norvin purchased 42 shares of Stock A at $50 per share, 124 shares of Stock B at $25 per share, and a four-year $3500 bond with an 8.54% coupon for $5950. Norvin sold both stocks today. Stock A is worth $58 per share and Stock B has a value of $29 per share. Assuming neither stock paid a dividend, which investment has the highest rate of return? (4 points)
Stock A
Stock B
Bond
Stock A and Stock B
And please explain why!
Answer:
Stock A and Stock B
Step-by-step explanation:
After 1 year, the value of Stock A is 58/50 = 1.16 times what it was, an increase of 16%.
After 1 year, the value of Stock B is 29/25 = 1.16 times what it was, an increase of 16%.
The bond has coupon value of $298.90 each year, about 5.02% of the amount invested. (However, the value of the bond at the end of 4 years is only $3500, so represents a net loss of about $1254.40 over that time period. We're not quite sure why Norvin purchased this bond at that price.)
Stock A and Stock B have the highest rate of return.
1. Find the area. The figure is not drawn to scale.
13.05 is the answer because the area of a triangle is A=1/2bh (base times height divided by 2) and 2.9x9=26.1 and 26.1 divided by 2 is 13.05
please answer question attached
Answer:
The measure of the other acute angle is 38°
Step-by-step explanation:
we know that
In a right triangle, the sum of the two acutes angles must be equal to 90 degrees (are complementary angles)
Let
x -----> the measure of the other acute angle
x+52°=90°
Solve for x
Subtract 52° both sides
x=90°52°
x=38°
Can someone please explain this.
Answer:
The correct option is option A
Step-by-step explanation:
We have the following expression:
sqrt(18x^3) - sqrt(9x^3) + 3sqrt(x^3) - sqrt(2x^3)
We know that sqrt(a*b) = sqrt(a)sqrt(b)
Applying this, we have:
sqrt(18)sqrt(x^3) - 3sqrt(x^3) + 3sqrt(x^3) - sqrt(2)sqrt(x^3)
sqrt(x^3)[ sqrt(18) - sqrt(2)]
sqrt(x^3)[ 3sqrt(2)- sqrt(2)]
sqrt(x^3)[2sqrt(2)]
Then we now that:
sqrt(x^3)[2sqrt(2)] = 2x*sqrt(2x)
The correct option is option A
The general form of an exponential function is y = abx. Use the regression calculator to find the values of a and b for the water lily population growth. Round to the nearest thousandth. a = and b =
Answer:
a=3.915 and b=1.106
Step-by-step explanation:
This is the answer on edju
A _____ has two-fold rotational symmetry.
A. circle
B. equilateral triangle
C. square
D. line
A circle, square and a line has a two fold symmetry.
What is rotational symmetry?A figure is said to be rotationally symmetric if when it is rotated along its axis remains the same. F
Given is to find the quotient when 6 is divided by 444.
If an object appears identical after a rotation of 180 degrees, that is twice in a 360 degrees rotation, then it is said to have a 2-fold rotation axis. A circle, square and a line has a two fold symmetry.
Therefore, a circle, square and a line has a two fold symmetry.
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PLEASE HELP! Daniela has a rectangular yard with a pool in the shape of a semicircle. How many square feet of grass does Daniela need to cover her yard, but not the pool?
Answer:
Part 1) Area of rectangle [tex]3,600\ ft^{2}[/tex]
Part 2) Area of semicircle [tex]1,413\ ft^{2}[/tex]
Par 3) Total area of grass [tex]2,187\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The total area of grass is equal to the area of rectangle minus the area of semicircle
step 1
Find the area of rectangle
The area of rectangle is equal to
[tex]A=45*80=3,600\ ft^{2}[/tex]
step 2
Find the area of semicircle
The area of semicircle is equal to
[tex]A=\frac{1}{2}\pi r^{2}[/tex]
we have
[tex]r=60/2=30\ ft[/tex] -----> the radius is half the diameter
substitute
[tex]A=\frac{1}{2}(3.14)(30)^{2}[/tex]
[tex]A=1,413\ ft^{2}[/tex]
step 3
Find the total area of grass
[tex]3,600\ ft^{2}-1,413\ ft^{2}=2,187\ ft^{2}[/tex]
If one pair of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
a. True
b.False
Yes by definition of parallelogram
Answer:
False
Step-by-step explanation:
Simple Question. Easy Points
Find x and y...
Answer:
From the information we have, we can prove that ΔBDA is similar to ΔCDB:
∠BDA≅∠CDB, ∠BAD≅∠CBD
=> ΔBDA ~ ΔCDB
=> BD/CD = AD/BD
=> 8/x = 15/8
=> x = (8 · 8)/15 ≈ 4.267
And we also have:
AD/BD = AB/BC
=> 15/8 = 17/y
=> y = (17 · 8)/15 ≈ 9.067
*I could be wrong though
Answer:
x = 4.267 and y = 9.067
Step-by-step explanation:
The triangle on the left and the triangle on the bottom are similar triangles.
Therefore, the following equation of ratios is true:
y 8
------- = ------
17 15
resulting in 15y = 8(17). Then 8(17)/15 = 9.067.
Also:
x 9.067
----- = -----------
8 17
resulting in 17x = 8(9.067) = 72.533
Then x = 72.533/17 / 17 = 4.267
In summary, x = 4.267 and y = 9.067.
You determine that the standard deviation for a sample of test scores is 0. This tells you that:
A) all the test scores must be 0.
B) all the test scores must be the same value.
C) there is no straight-line association.
D) the mean test score must also be 0.
E) you made a mistake because the standard deviation can never be 0.
Answer:
Your answer is A,B,AND D
Step-by-step explanation:
The standard deviation for a sample of test scores is 0 tells you that, B) all the test scores must be the same value.
What is Standard Deviation?Standard deviation is a measure in statistics which describes how much is each quantity given deviates from the mean of the whole population.
When a sample of test scores are having a standard deviation of 0, this tells you that, the deviation of each of the values from the mean is 0.
This means that all the values must have the same value.
Suppose the data set is, 1, 1, 1, 1, 1.
All the data points are same.
Mean = 1
Deviation of each of the point from mean = 0
So standard deviation = 0
All the test scores are 0 is a special case of the above case where all the test scores are same.
Hence option B is correct.
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a private plane is traveling due east at a rate of 155 mph. a south wind is blowing 35 mph. what is the actual velocity of the plane?
Answer:
158.9 mph E 12.7° S
Step-by-step explanation:
Since the components of the motion are perpendicular to each other then magnitude of the resultant can be found using the Pythagorean theorem:
|v| = √(155^2 +35^2) ≈ 158.9 . . . . mph
The angle can be found using the tangent relationship:
tan = opposite/adjacent
The angle south of east will be
angle = arctan(35/155) ≈ 12.7°
The velocity vector can be described by ...
158.9 mph E 12.7° S
_____
As a bearing, the vector might be described as either of ...
• 158.9 mph at 102.7°
• 158.9 mph S 77.3° E
1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?
2) A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has 4 more of the twenties. The total value of the money is $305.00. Find the number of twenty-dollar bills. What is the equation?
Answer:
Part 1) Helen's age is 32 years old and Jane's age is 24 years old
Part 2) 13 twenty-dollar bills
Step-by-step explanation:
Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?
Let
x----> Helen's age
y---> Jane's age
we know that
x=y+8 ----> equation A
(x-20)=3(y-20) -----> equation B
substitute equation A in equation B and solve for y
(y+8-20)=3(y-20)
y-12=3y-60
3y-y=60-12
2y=48
y=24 years
Find the value of x
x=y+8
x=24+8=32 years
Part 2)
Let
x-----> the number of five-dollar bills
y----> the number of twenty-dollar bills
we know that
5x+20y=305 -----> equation A
y=x+4 ------> x=y-4 ------> equation B
substitute equation B in equation A and solve for y
5(y-4)+20y=305
5y-20+20y=305
25y=325
y=13 twenty-dollar bills
Find the value of x
x=y-4
x=13-4=9 five-dollar bills
A sinusoidal function whose period is 1/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.
What is the equation of the function described?
f(x)=7sin(4πx)+3
f(x)=7cos(4x)+3
f(x)=7sin(4x)+3
f(x)=7cos(4πx)+3
Answer:
https://brainly.com/question/10395117
Step-by-step explanation:
Answer:
f(x)=7sin(4x)+3
Step-by-step explanation:
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
A) (0, 4)
B) (4, 0)
C) no intersection point
D) infinite intersection points
D. Infinite intersection points
Divide both sides of the second equation by 2 to find that it is equal to y = 4 - x, which is the same as the first equation.
Since they are the same equation, they are always touching each other since they are the exact same line, which means they are always intersecting, and there are infinite intersection points.
According to the Venn diagram below, what is (image below)
A. 3/25
B. 4/25
C. 2/25
D. 1/25
Answer:
P(A ∩ B ∩ C) is 1/25 ⇒ answer D
Step-by-step explanation:
* Lets talk about the Venn diagram
- There are three circles intersect each other
- The number of elements ∈ (A ∩ B) and ∉ C = 5
∴ n(A ∩ B) and ∉ C = 5
- The number of elements ∈ (A ∩ C) and ∉ B = 6
∴ n(A ∩ C) and ∉ B = 6
- The number of elements ∈ (C ∩ B) and ∉ A = 4
∴ n(C ∩ B) and ∉ A = 4
- The number of elements ∈ (A ∩ B ∩ C) = 2
∴ n(A ∩ B ∩ C) = 2
- The number of elements ∈ A and ∉ B , C = 9
- The number of elements ∈ B and ∉ A , C = 8
- The number of elements ∈ C and ∉ A , B = 7
- The number of elements ∉ A , B , C = 9 ⇒ outside the circles
- The total elements in the Venn diagram is the sum of all
previous numbers
∴ The total number in the Venn diagram = 5 + 6 + 4 + 2 + 9 + 8 + 7 + 9 =
50
* To find the probability of (A ∩ B ∩ C), find the total number in
the Venn diagram and the number of elements in the intersection
part of the three circles
∵ The total elements in the Venn diagram = 50 elements
∵ n(A ∩ B ∩ C) = 2
∴ P(A ∩ B ∩ C) = 2/50 = 1/25
* P(A ∩ B ∩ C) is 1/25
What is the value of d?
Round your answer to the nearest tenth.
Answer:
11.9 mm
Step-by-step explanation:
We can find d by applying the cosine rules.
d² = 21² + 27² - 2(21)(27) cos (25)
d² = 441 + 729 - 1027.75
d² = 142.25
d = √142.25
d = 11.9 mm (nearest tenth)
At a competition with 4 runners, 4 medals are rewarded for first place through fourth place. Each model is different. How many ways are there to award the medal?
Decide if the situation involves a permutation or a combination, and then find the number of ways to award the medals.
A. Permutation; number of ways =24
B. Combination; number of ways = 24
C. Permutation; number of ways = 1
D. Combination; number of ways =1
A. Permutation; number of ways =24
Answer:
Option A. Permutation; number of ways = 24
Step-by-step explanation:
At a competition with 4 runners, 4 medals are rewarded for place place to fourth place.
We have to tell in this situation we will use permutation or combination to find the number of ways, medals can be rewarded.
We know when order matters then permutation is applied.
So number of ways to award the medals will be = 4! = 4×3×2×1 = 24
Therefore, option A. permutation : number of ways = 24 is the answer.
EASY Brainliest. What is the parent graph?
Answer:
D
Step-by-step explanation:
The given function builds on the parent graphy = x^2.
The answer is D. y=x^2
Match the pairs of equivalent expressions.
y – 0.32y
y + 0.32y
arrowRight
0.68y
arrowRight
arrowRight
1.32y
Answer:
y - 0.32y = 0.68y
y + 0.32y = 1.32 y
Step-by-step explanation:
To simplify expressions, add/subtract using the coefficients of the terms.
y – 0.32y should be 1 - 0.32 = 0.68. This simplifies to 0.68y.
y + 0.32y should be 1 + 0.32 = 1.32. This simplifies to 1.32y.
7/5y = y+2/5y
0.68y = y-0.32y
3/5y = y-2/5y
1.32y = y+0.32y
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