Answer:
23.8%
Step-by-step explanation:
Step 1: Divide 142 by 596;
The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:
142/596 = 142 ÷ 596 = 0.23825503355705
Step 2: Multiply 0.23825503355705 by 100
The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:
0.23825503355705 × 100 = 23.83
Step 3: Round 23.83 to the nearest tenth
To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.
23.83 rounded to the nearest tenth = 23.8%
where is the center of the circle and the radius is how many units?
Answer:
8,9,5
Step-by-step explanation:
Find possible zeroes
f(x)=3x^6+4x^3-2x^2+4
The possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are [tex]\mathbf{\pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}[/tex]
How to determine the possible zeros?The function is given as:
f(x) = 3x^6 + 4x^3 -2x^2 + 4
The leading coefficient of the function is:
p = 3
The constant term is
q = 4
Take the factors of the above terms
p = 1 and 3
q = 1, 2 and 4
The possible zeros are then calculated as:
[tex]\mathbf{Zeros = \pm\frac{Factors\ of\ q}{Factors\ of\ p}}[/tex]
So, we have:
[tex]\mathbf{Zeros = \pm\frac{1,2,4}{1,3}}[/tex]
Expand
[tex]\mathbf{Zeros = \pm\frac{1,2,4}{1},\pm\frac{1,2,4}{3}}[/tex]
Solve
[tex]\mathbf{Zeros = \pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}[/tex]
Hence, the possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are [tex]\mathbf{\pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}[/tex]
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claire and martin are trying to determine the length of a slug. Claire has a mesuring stick whose markings are 1 cm apart, and Martin has a measuring stick whose markings are 0.1cm apart.
Claire's measuring stick would make a more precise measurement
How to determine the precise measurement?The given parameters are:
Claire = 1 cm
Martin = 0.1 cm
The 0.1 cm marking would make a more accurate measurement.
This is so because the length of a slug would most likely be in decimal centimeters
However, this doesn't translate to a precise measurement.
Hence, Claire's measuring stick would make a more precise measurement
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Zaidah plans a raised flower bed 2 ft high by 15 ft wide by 24 ft long. The mulch, soll, and peat mixture used to fill the raised bed costs $12.75 per cubic yard. What is the total cost (in dollars) of the
Ingredients used to fill the raised garden?
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's get started ~
[tex]\qquad \sf \dashrightarrow \: volume = length \sdot width \sdot height[/tex]
[tex]\qquad \sf \dashrightarrow \: v = (24) \sdot(15) \sdot(2)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 720 \: \: ft {}^{3} [/tex]
now, we know :
[tex]\qquad \sf \dashrightarrow \: 1 \: \: yard {}^{3} = 27 \: \: ft {}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 1 \: \: ft {}^{3} = \cfrac{1}{27} \: \: yard {}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 720 \: \: ft {}^{3} = \cfrac{1}{27} \times 720 \: \: yard {}^{3} [/tex]
[tex]\qquad \sf \approx\: 26.67 \: \: yard {}^{3} [/tex]
now, total cost of ingredients used is :
[tex]\qquad \sf \dashrightarrow \: 26.67 \times 12.75[/tex]
[tex]\qquad \sf \dashrightarrow \: 340.04[/tex]
so, total cost is $ 340.04
Four students are simplifying the expression 5x(–3 – 7x).
Which student’s work is correct?
5x(–3 – 7x)
(5x)(–3) – 7x
–15x –7x
5x(–3 – 7x)
(5x)(–3) – (5x)(7x)
–15 – 35x
5x(–3 – 7x)
–3 + 5x – 7x
–3 – 2x
5x(–3 – 7x)
(5x)(–3) + (5x)(–7x)
–15x – 35x2
Answer:
So the questions isn't clear enough, but I could tell u that the nearest answer is the last answer, but without the multiplied 2
It's _15x_35xsquared
Answer:
5x(–3 – 7x)
(5x)(–3) + (5x)(–7x)
–15x – 35x2
Step-by-step explanation:
D
Nicole sold 15 tickets to the school play and Andrew sold 24 tickets. what is the ratio of the number of tickets Nicole sold to the number of tickets Andrew sold
Answer:
5:8
Step-by-step explanation:
Nichole sold 15 while Andrew sold 24, so the ratio is 15:24. Simplify the ratio by dividing both sides by 3, and we’ll get 5:8.
Find the exact solutions of x2 − 3x − 5 = 0 using the quadratic formula. Show all work! 75 points please help!!!!!
Answer:
[tex]x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}[/tex]
Step-by-step explanation:
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Given quadratic equation:
[tex]x^2-3x-5=0[/tex]
Define the variables:
[tex]\implies a=1, \quad b=-3, \quad c=-5[/tex]
Substitute the defined variables into the quadratic formula and solve for x:
[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{3 \pm \sqrt{9+20}}{2}[/tex]
[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]
Therefore, the exact solutions to the given quadratic equation are:
[tex]x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}[/tex]
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Answer:
[tex]\boxed {\frac{3+\sqrt{29}}{2}} \boxed{\frac{3-\sqrt{29}}{2}}[/tex]
Step-by-step explanation:
Quadratic Formula :
[tex]\boxed {\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}}[/tex]
We are given the equation x² - 3x - 5 = 0.
Here,
a = 1b = -3c = -5Solving :
3 ± √3² - 4(1)(-5) / 2(1)3 ± √29 / 2Hence, the solutions are :
[tex]\boxed {\frac{3+\sqrt{29}}{2}} \boxed{\frac{3-\sqrt{29}}{2}}[/tex]
What is the solution to the following system of equations?
x-3y=6
2x + 2y = 4
(-1,3)
(3,-1)
(1, -3)
(-3,1)
Answer:
(b) (3,-1)
Step-by-step explanation:
One can determine the correct answer by checking to see if it satisfies the equations.
CheckingThe first equation can be rewritten to ...
x = 6 +3y . . . . . . . add 3y to both sides
This makes it easier to check answer choices:
a) -1 = 6 +3(3) . . . . no
b) 3 = 6 +3(-1) . . . . yes . . . . . (3, -1) is the solution
c) 1 = 6 +3(-3) . . . . no
d) -3 = 6 +3(1) . . . . no
__
Additional comment
We can further convince ourselves this is the correct choice by seeing if it satisfies the second equation:
2x +2y = 4 . . . for (x, y) = (3, -1)
2(3) +2(-1) = 4 . . . . yes
Find the distance between points H(8, 2) and K(6, 10). Round your answer to the nearest tenth
Step-by-step explanation:
when you mark such points on a coordinate grid, and mark also the coordinate differences in x and y direction as soft lines, you notice that these coordinate difference lines and the direct connection between the 2 points create a right-angled triangle.
so, Pythagoras applies :
c² = a² + b²
with c being the Hypotenuse (the baseline opposite of the 90° angle, which is the direct connection between the 2 points). a and b are the legs (coordinate differences).
so,
distance² = (8 - 6)² + (2 - 10)² = 2² + (-8)² = 4 + 64 = 68
distance = sqrt(68) = 8.246211251... ≈ 8.2
A solid right square prism is cut into 5 equal pieces parallel to its bases. The volume of each piece is V = 1/5s2h.Solve the formula for s. help asap
The solution of the formula for s is:
[tex]s = \sqrt{\frac{5V}{h}}[/tex]
What is the symbolic equation?The equation is:
[tex]V = \frac{1}{5}s^2h[/tex]
To solve for s, we isolate it, hence:
[tex]s^2 = \frac{5V}{h}[/tex]
[tex]s = \sqrt{\frac{5V}{h}}[/tex]
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60 POINTS PLEASE HELP NOW
The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).
How to find the pre-image of the triangle
In this problem we must use a transformation rule known as dilation, a kind of rigid transformation, to derive the preimage of the triangle, whose formula is:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Now we proceed to find the preimage of the triangle: O(x, y) = (0, 0), k = 2/3
Point A'
A'(x, y) = (0, 0) + (2/3) · [(6, 2) - (0, 0)]
A'(x, y) = (4, 4/3)
Point B'
B'(x, y) = (0, 0) + (2/3) · [(- 3, 0) - (0, 0)]
B'(x, y) = (- 2, 0)
Point C'
C'(x, y) = (0, 0) + (2/3) · [(1.5, 4.5) - (0, 0)]
C'(x, y) = (1, 3)
The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).
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6) Ron bought a car 8 years ago for $15,694. If the rate of depreciation is 4.75% per year, what is the value of
Ron's car now? Round answer to nearest cent.
O a.) $10,642.94
Ob.) $10,332.94
Oc.) $10,632.94
Od.) $10,662.94
How many proportional relationships are shown in the coordinate plane below/
Answer:
I wish I could I didnt do good with this in math
Using the drawing what is the vertex of angle 4?
Answer: A
Step-by-step explanation:
1376x13 please solve this equation and show work
The value of 1376 * 13 is 17888
How to solve the expression?The expression is given as:
1376 * 13
Express 1376 as 1300 + 76
(1300 + 76) * 13
Expand
1300 * 13 + 76 * 13
Evaluate the product
16900 + 988
Evaluate the sum
17888
Hence, the value of 1376 * 13 is 17888
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paulette spent 45.50 on concert tickets before fees. there was a service fee of 6% added on to her purchase.
The original price of concert tickets before the addition of service fee is 42.93
PercentageAmount spent on tickets including service fee = 45.50Percentage if service fee = 6%Original cost before service fee = x45.50 = x + (6% of x)
45.50 = x + (0.06 × x)
45.50 = x + 0.06x
45.50 = 1.06x
x = 45.50/1.06
x = 42.9245283018867
Approximately,
x = 42.93
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suppose that fanf g are continuous functions,
12_(^28 f(x)dx=19, and 12 (^28 g(x)dx =35.
Find
12_ f^28 [kg(x)-2f(x)] dx, where the coefficient
k=7
those are intergral symbols with numbers on
top and bottom. please show work. thanks
The required result based on given continuous functions is: 207. See the explanation for same below.
A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.
Since G and F are continuous functions,
[tex]\int_{12}^{28}) \, f(x) dx[/tex] = 19
[tex]\int_{12}^{28}) \, f(x) dx[/tex] = 35
Therefore,
[tex]\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx[/tex]
= K [tex]\int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx[/tex]
So, given that K = 7, we have
7 x 35 - 2 x 19
= 245 - 38
= 207
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Please answer the question below . Help is greatly appreciated!
Using proportions, it is found that 40 ml of water have to be added to make the ratio of oil to water of 1:3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The jar contains 100 ml of oil and water in the ratio 1:4, hence:
The amount of oil is: 1/5 x 100 = 20 ml.The amount of water is: 4/5 x 100 = 80 ml.Oil was added to make the ratio 1/2, hence:
[tex]\frac{20 + x}{100 + x} = \frac{1}[3}[/tex]
3(20 + x) = 100 + x
60 + 3x = 100 + x
x = 20.
Then there are 40 ml of oil and 80 ml of water, for a total of 120 ml. Now we want a ratio of 1:3, that is, 3/4 of the mixture being water, hence:
[tex]\frac{80 + x}{120 + x} = \frac{3}{4}[/tex]
4(80 + x) = 3(120 + x)
320 + 4x = 360 + 3x
x = 40
40 ml of water have to be added to make the ratio of oil to water of 1:3.
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Find the sum of the geometric series given a1 = 5, r = 3, n = 12.
The sum of the geometric series is 1328600
How to determine the sum?The given parameters are:
a1 = 5
r = 3
n = 12
The sum of the terms is:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
This gives
[tex]S_n = \frac{5 * (1 - 3^{12})}{1 - 3}[/tex]
Evaluate the difference
[tex]S_n = \frac{5 * (1 - 531441)}{-2}[/tex]
This gives
[tex]S_n = \frac{5 * - 531440}{-2}[/tex]
Evaluate
[tex]S_n = 1328600[/tex]
Hence, the sum of the geometric series is 1328600
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How do i find the slope of these points? (−4, 3) and (2, 9)
Answer:
Divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Step-by-step explanation:
Answer:
The value of the slope b/n these two pts. will be 1.
Step-by-step explanation:
Greetings !
For finding slope from two points of a line (x₁, y₁) and (x₂, y₂), we use the formula (y₂ - y₁) / (x₂ - x₁).
Thus, m=(y₂ - y₁) / (x₂ - x₁)
m=(9-3)/(2-(-4))m=6/6m=1.Suppose you have $1500 in your savings account at the end of a certain period of time. You invested $1000 at a 2.71% simple annual interest rate. How long, in years, was your money invested? State your result to the nearest hundredth of a year.
The time taken in years for money invested to accumulate to $1500 is 18.45 years
Simple interestPrincipal = $1000Interest rate = 2.71% = 0.0271t = ?Simple interest = Total savings - principal
= 1500 - 1000
= $500
Simple interest = principal × rate × time
500 = 1000 × 0.0271 × t
500 = 27.1 × t
500 = 27.1t
t = 18.4501845018450
Approximately,
t = 18.45 years
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The total area of a picture and its frame can be represented by ^l + 2f h^w + 2f h, where l and w represent the length and width of the picture, respectively, and f represents the thickness of the frame.
a. Sketch a diagram to represent this scenario.
b. What binomial multiplication represents the area of an 8" # 12" picture and its frame?
c. Multiply the binomials from b., and combine like terms to simplify.
d. What is the total area of an 8" # 12" picture and its frame if the frame is 1.5" thick?
The answers to the question are
b. (l + 2f) (w + 2f)
c. f + 4, f + 6
d. 52.25
a. The diagram is an attachment.
B. How to solve for the binomial multiplicationThe equation says
(l + 2f) (w + 2f)
We have the lengths of w and l as 8 and 12 respectively. Hence we have
(8 + 2f) (12 + 2f) as the area
c. (8 + 2f) (12 + 2f)
= 96 + 16f + 24f + 4f²
= 4f² + 40 f + 96
We have to factorize this using the quadratic equation calculator
f + 4, f + 6
= f = -4 and f = -6
d. If it is 1.25 thick we would have
1.25 x 2 = 2.5
12 - 2.5 = 9.5
8 - 2.5 = 5.5
Area = l * w
= 5.5 * 9.5
= 52.25
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A restaurant hands out a scratch-off game ticket with prizes being worth
purchases at the restaurant. The back of the ticket lists the odds of winning
each dollar value: 0.4 for $10, 0.2 for $25, 0.01 for $30, and 0.004 for $75.
What are the odds that the ticket is worth at least $25?
Using the probability concept, the odds that the ticket is worth at least $25 are of 1:3.67.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering the probability, the odd is given by:
o = probability:(1 - probability)
From the given table, the probability that the ticket is worth at least $25 is:
p = 0.2 + 0.01 + 0.004 = 0.214.
Hence the odd is:
o = 0.214/(1 - 0.214) = 0.214/0.786 = 1:3.67.
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James has $20 in his wallet and makes $10 per hour. Kelly has $50 in her wallet but only makes $8 per hour.
How many hours of work will it take for these two people to have the same amount of money?
Answer:
At 15 hours of work they will be equal.
Step-by-step explanation:
James: y = 10x + 20
Kelly: y = 8X + 50
Set them equal to each other and solve
10x + 20 = 8x + 50 Subtract 8x from both sides of the equation
2x + 20 = 50 Subtract 20 from both sides of the equation
2x = 30 Divide both sides by 2
x =15
find the slope of this line
Answer:
2
Step-by-step explanation:
Select two points that the red line goes through like (0,-10) and (2,-6). If I start at the bottom left of the red line, I can see that I am moving to the right and up. That means that the slope will be positive. As my x is increasing so is my y. Starting at point (0,-10) 2 space, but each space counts as 2, so I really move up 4. Then I check to see how much I moved right. It is only one space, but again, I am counting by 2s, so I really moved 2 units to the right.
The fraction would be 4/2 which just equals 2/1 or 2.
What is the measure of angle A?
250
140
70
110
Using the angle of intersecting tangents theorem, the measure of angle A is: C. 70°
What is the Angle of Intersecting Tangents Theorem?Based on the angle of intersecting tangents theorem, measure of angle A = 1/2(the positive difference of the intercepted arcs).
Measure of one of the intercepted arcs = 250°
The second intercepted arc = 360 - 250 = 110°
Positive difference of the intercepted arcs = 250 - 110 = 140°
Measure of angle A = 1/2(140)
Measure of angle A = 70°
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Answer:
the answer is 70. hope this helps <3
Step-by-step explanation:
There are some 1-dollar bills, some 5-dollar bills, and a 20-dollar bill in an envelope. The number of 1-dollar bills is five times the number of the 5-dollar bills. We randomly pull a bill from the envelope. How many 1-dollar bills are in this envelope if the expected value of the bill pulled is $2.00?
Answer:
the number of 1 dollars bills was 5 si make 1 more 5 dollars so 8n total it is 10 dollars.
To support the tree a guy wire 8.1 m long is attached to the trunk and then secured in the ground find the height of the leafty part of the tree to the nearest tenth
The height of the leafy part will be 6m.
How to calculate the height?Other part of the question:
At the same time, a vertical pole 3m high vast s shadow 4m long.
Based on the information given, the height will be:
h/8 = 3/4
h = (3 × 8)/4
h = 6
Therefore, the height is 6m.
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define cultural identity in your own words
Cultural identity component of an individual which makes him identifiable with a given group. For example, British Asian is a cultural identity.
What is the Meaning of Cultural Identity?Cultural identity can be described as a component of an individual which makes him identifiable with a given group that share the same characteristics.
Examples of cultural identities may include the following:
ReligionEthnic backgroundTraditionNationalityFoodI can state that I am a British Asian. British Asian is my cultural identity.
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Find the coordinates of the vertices of the triangle if it’s rotated 270° counterclockwise.
If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;
X' = (3, -1)
Y' = (2, -2)
Z' = (-1, -3)
Rotation of coordinatesIf the coordinates (x, y) is rotated 270° counterclockwise, the resulting coordinate point will be;
(x, y) - > (y, -x)
From the given triangles, the coordinate points are expressed as
X = (1, 3)
Y = (2, 2)
Z = (3, -1)
If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;
X' = (3, -1)
Y' = (2, -2)
Z' = (-1, -3)
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