Answers
Related Questions
61/100in word form,decimal
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If the cubic function P(x) includes the points (−4, 0), (0, 0), and (2, 0), which of the following represents this function?
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The function cannot be determined with the given information.
Explanation:The given points (-4, 0), (0, 0), and (2, 0) indicate that the function is a cubic function with three real roots. A cubic function is of the form P(x) = ax^3 + bx^2 + cx + d. Since the function passes through the x-axis at (-4, 0), (0, 0), and (2, 0), the roots of the cubic function are -4, 0, and 2. Therefore, the function can be written as P(x) = a(x + 4)(x - 0)(x - 2). However, since a cubic function with three real roots has an odd degree, the coefficient 'a' must be negative or positive. This means that the function can also be written as P(x) = -a(x + 4)(x - 0)(x - 2) or P(x) = a(x + 4)(x - 0)(x - 2). So, the correct representation of the function cannot be determined with the given information.
if the parent function is 3 square root x, describe the translation of the function y=3 square root x-4 +3
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Note [tex]f(x)=3\sqrt{x}[/tex] so [tex]f(x-4)=3 \sqrt{x-4} [/tex] so [tex]f(x-4)+3= \sqrt{x-4}+3 [/tex].
We just analyse the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive x direction. f(x)+3 corresponds to a vertical translation 3 units in the positive y direction.
So overall, the parent function moves 4 units right and 3 units up. This is a translation by the vector [tex] \left[\begin{array}{r}4&3\end{array}\right] [/tex].
Answer:
Step-by-step explanation:
Four units to the rights and three units up from ^3 square x.
Dominic picks oranges from 18 trees. He picks 11.4 pounds of oranges from each tree. How many total pounds does Dominic pick?
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11.4 * 18 is 205.2
He picked a total of 205.2 pounds of oranges from the 18 trees.
Hope this helps
3 sin2(θ) + 16 sin(θ) − 35 = 0
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now, before continuing on the first root, recall that the sine has a range of -1 ⩽ sin(θ) ⩽1, however 5/3 is greater than 1, and therefore is out of range, meaning, there's no such angle, so we've got zilch there.
now, let's check the second root,
[tex]\bf sin(\theta )+7=0\implies sin(\theta )=-7\implies \measuredangle \theta =sin^{-1}(-7)[/tex]
well, hell -7 is smaller than -1, so is also outside the range for sine, and so, the second root gave also zilch, so, in short, there's no such angle.
how many books can you get in a storage bin that is 4 feet high and 9 feet long and 11 feet wide
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V=bh or l x w x h
So, 9 times 11 is 99.
99 times 4 is 396, which is the volume.
You did not specify the size of the books, so all we can say is that the volume of the bin is 396 cubic feet.
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. a pollster contacts 92 people in the 18-21 age bracket and finds that 78 of them respond and 14 refuse to respond. when 284 people in the 22-29 age bracket are contacted, 265 respond and 19 refuse to respond. assume that 1 of the 376 people is randomly selected. find the probability of getting someone in the 22-29 age bracket or someone who refused to respond.
Answers
= (284+14) / 376
= 0.792
= 0.79
Final answer:
The probability of selecting a person from the 22-29 age bracket or someone who refused to respond is approximately 79.3% out of the total number of people contacted.
Explanation:
The student is asking about finding the probability of selecting either a person from the 22-29 age bracket or someone who refused to respond from a combined group of people contacted in a survey. To solve this problem, we use the addition rule of probability. The total number of people is 376. The number of people who are in the 22-29 age bracket is 284, and the number of people who refused to respond is 14+19=33. However, this would include those who refused from the 22-29 bracket twice, so we subtract the 19 from the 22-29 age group who refused, leaving us with 33-19=14. Thus, the total number in either category is the sum of these, 284+14=298.
The probability (P) of picking someone from the 22-29 age bracket or someone who refused to respond is therefore calculated as:
P = Number in either category / Total number = 298 / 376 ≈ 0.793 or 79.3%
suppose that a pair of 7 sided dice is tossed. What is the expected value of the sum?
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The expected value of the sum when rolling a pair of 7-sided dice is 8.
Explanation:When rolling a pair of 7-sided dice, each die has numbers 1 through 7 on its faces. To find the expected value of the sum, we need to calculate the average of all possible sums.
The first die can have 7 possible outcomes, and for each outcome, the second die can also have 7 possible outcomes. This gives us a total of 7*7=49 possible outcomes. The sums of these outcomes range from 2 (1+1) to 14 (7+7).
To find the expected value, we multiply each sum by its probability and sum them up. Since each sum has an equal probability of occurring (1/49), we can simplify the calculation:
Expected value = (2*1/49) + (3*1/49) + (4*1/49) + ... + (14*1/49) = 8
Therefore, the expected value of the sum when rolling a pair of 7-sided dice is 8.
“Find the equation of the line passing through (8,-2) & (7,-4). Write your equation in point-slope AND slope intercept forms.
Point slope form using (8,-2) _____
Point slope form using (7,-4) _____
Slope intercept form: y=2x-18
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the equation of the line in point-slope------------> (y – y1) = m(x – x1)
the equation of the line in slope intercept forms. -----> y =mx+b
find the slope m
point (8,-2) & (7,-4).
m=(y2-y1)/(x2-x1)---------> (-4+2)/(7-8)=-2/-1----------> m=2
Part A)
find the equation of the line in point-slope using (8,-2)
(y – y1) = m(x – x1)---------> (y-(-2)) = 2*(x – 8)-------> y+2=2x-16
y=2x-16-2--------> y=2x-18
Part B)
find the equation of the line in point-slope using (7,-4)
(y – y1) = m(x – x1)---------> (y-(-4)) = 2*(x – 7)-------> y+4=2x-14
y=2x-14-4--------> y=2x-18
Part C)
find the equation of the line in slope intercept forms
using (7,-4)
y=mx+b--------> -4=2*7+b----------> -4=14+b-----------> b=-18
then
y=2x-18
Part D)
find the equation of the line in slope intercept forms
using (8,-2)
y=mx+b--------> -2=2*8+b----------> -2=16+b-----------> b=-18
then
y=2x-18
In the number 35.3816, the underlined three is __________ the other three.
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The three in the tens place is 100 times bigger than the other three.
.3*100= 30
I hope this helps!
~kaikers
given the equation W=CE2/2, solve for C
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CE^2 = 2W
C = 2W/E^2 Answer
Answer:
[tex]C=\frac{2W}{E^2}[/tex]
Step-by-step explanation:
[tex]W=\frac{CE^2}{2}[/tex]
Solve for C
To solve for C, we need to get C alone
LEts start with eliminating 2 from the denominator
Multiply the equation by 2 on both sides
[tex]2W= CE^2[/tex]
To isolate C, divide both sides by E^2
[tex]\frac{2W}{E^2} =C[/tex]
[tex]C=\frac{2W}{E^2}[/tex]
subtracting/adding mixed fractions
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= 3 2/4
= 3 1/2
b)
= 7 10/15 + 2 3/15
= 9 13/15
A quality control engineer tests the quality of produced computers. suppose that 5% of computers have defects, and defects occur independently of each other.
a. what is the expected number of defective computers in a shipment of twenty? 1
b. find the probability of exactly 3 defective computers in a shipment of twenty.
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For n=20, p=0.05,
the mean number of defects is np=20*0.05=1
[tex]P(x)=C(n,x)p^x(1-p)^{n-x}[/tex]
[tex]P(X=3)=C(20,3)0.05^3(1-0.05)^{20-3}[/tex]
[tex]=1140(1.25*10^{-4}(0.41812)[/tex]
[tex]=0.05958[/tex]
Answer: probability of exactly 3 defects in a sample of 20 is 0.05958
Would you expect a scatterplot comparing speed of a car in time it takes to drive 10 miles to show a positive association a negative association or no association explain you’re thinking
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help!!!
All rectangles can also be classified as which of the following? Select all that apply. r
rhombus
square
parallelogram
trapezoid
quadrilateral
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rhombus
parallelogram
quadrilateral
hope it helps
Answer:
All rectangles can also be classified as which of the following? Select all that apply. r
rhombus
square
parallelogram
trapezoid
quadrilateral
Step-by-step explanation:
In plane geometry, a rectangle is a parallelogram.
Parallelogram: its opposite sides are parallel, it can also be a square, or a rhombus.
In Euclidean geometry, a quadrilateral is a polygon that has four sides and four vertices.
The answer is: Rhombus, square, parallelogram, and quadrilateral.
what is r divided by 8
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r/8
Jerome went on a hike. He climbed three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles per hour?
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d = 3/4 mile
t = 2/3 hour
r = ????
r = 3/4 // 2/3 Invert and multiply the denominator
r = 3/4 * 3/2 = 9/8 = 1 1/8
If your calculator handles fractions, you can use it to do this. If not you can change this to a decimal.
d = 3/4 = 0.75 miles
t = 2/3 hour = 0.666666666 hours.
r = ???
d = r*t
r = d/t
r = 0.75 / 0.66666667
r = 1.125 miles / hour
which gives you exactly the same answer 1.125 = 1 1/8
Final answer:
Jerome's hiking speed was calculated by dividing the distance he hiked, three-fourths of a mile, by the time it took him, two-thirds of an hour. This yielded a hiking speed of 1.125 miles per hour.
Explanation:
To calculate Jerome's hiking speed in miles per hour, we need to divide the distance he hiked by the time it took him. Jerome hiked three-fourths of a mile in two-thirds of an hour. To find the speed, we use the formula:
Speed = Distance ÷ Time
Speed = ¾ mile ÷ ⅓ hour
To divide fractions, we multiply by the reciprocal of the denominator:
Speed = ¾ × ⅔ = 3/4 × 3/2 = 9/8
This fraction simplifies to 1⅛ (1.125) miles per hour. So, Jerome's hiking speed was 1.125 miles per hour.
It is important to remember that when we talk about speed, we are referring to the distance traveled over a certain period of time regardless of the direction of travel.
Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.
Outcome Heads Tails
Relative frequency 0.38 0.62
Select from the drop-down menus to correctly complete each statement.
The relative frequency of heads is
40%.
Mr. Clark's claim about the theoretical probability is likely to be
.
This means that the theoretical probability of tails is most likely
for this coin.
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Since he claims the probability of heads is 40%, that should be what we see in an experiment. 0.38 is very close to 0.40, or 40%, so this is true. Therefore his claim is likely to be true, and the probability of tails should be about 60%.
Dr. Silas studies a culture of bacteria under a microscope. The function b(t)=50(1.4)^t represents the number of bacteria t hours after Dr. Silas begins her study.
a) What is the y-intercept of the function? What does this mean in the context of the problem?
b) Is this exponential growth or decay? How do you know?
c) How many bacteria would there be 5 hours after Dr. Silas began her study?
Please show all your work!
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[tex]b(t)=50(1.4) ^{t} [/tex]
[tex]b(0)=50(1.4)^{0} [/tex]
[tex]b(0)=50(1)[/tex]
[tex]b(0)=50[/tex]
We can conclude that the y-intercept of our function is (0,50), and it represents the initial bacteria population in the sample.
b) To find if the function is growing or decaying, we are going to convert its decimal part to a fraction. Then, we will compare the numerator and the denominator of the fraction. If the numerator is grater than the denominator, the function is growing; if the opposite is true, the function is decaying.
Remember that to convert a decimal into a fraction we are going to add the denominator 1 to our decimal and then we'll multiply both of them by a power of ten for each number after the decimal point:
[tex] \frac{1.4}{1} . \frac{10}{10} = \frac{14}{10} = \frac{7}{5} [/tex]
Now we can rewrite our exponential function:
[tex]b(t)=50( \frac{7}{5})^{t} [/tex]
Since the numerator is grater than the denominator, it is growing faster than the denominator; therefore the function is growing.
c) The only thing we need to do here is evaluate the function at t=5:
[tex]b(t)=50(1.4)^{t} [/tex]
[tex]b(5)=50(1.4)^{5} [/tex]
[tex]b(5)=50(5.37824)[/tex]
[tex]b(5)=268.912[/tex]
We can conclude that after 5 hours Dr. Silas began her study will be 268.9 bacteria in the sample.
The function relates to a bacteria count that starts at 50, grows exponentially due to the base of the exponent being greater than 1, and is projected to reach approximately 192 bacteria after 5 hours.
Explanation:a) The y-intercept of the function is the value of the function when t = 0. For the function [tex]b(t)=50(1.4)^t[/tex], if you substitute 0 for t, you get [tex]50(1.4)^0[/tex] which simplifies to 50. Consequently, the y-intercept is 50 which in context, means the study started with 50 bacteria.
b) This function represents exponential growth. We know this because the base of the exponent (1.4) is greater than 1. If the base had been less than 1, it would represent exponential decay.
c) To determine the number of bacteria 5 hours into the study, we need to substitute 5 for t in the formula.
Hence, [tex]b(5)=50(1.4)^5 = approximately 192.2.[/tex] The number of bacteria cannot be in fractions, thus we consider this as approximately 192.
Learn more about Exponential Growth here:https://brainly.com/question/12490064
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What is the simplified form of the expression? x8 2y10 5x5
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x8* 2y10 * 5x5
product of two powers that have the same base is equal to a power of said base that has as exponent the sum of the exponents
x8* 2y10 * 5x5----------> (1)*(2)*(5)*[x^(8+5)]*y^10=10*[x^13]*y^10
the answer is 10*[x^13]*y^10
20 POINTS!!
a triangle has side lengths 20cm, 27cm, 21cm. is the triangle a right angle? show your work
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400 + 441 = 729
881 = 729 (does not equal)
Not a right traingle
Find direction numbers for the line of intersection of the planes x + y + z = 1 and x + z = 0. (enter your answers as a comma-separated list.)
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The cross product of the normals of the planes gives the direction vector of their line of intersection.
One drawer in a dresser contains 7 blue socks and 7 white socks. a second drawer contains 5 blue socks and 1 white socks. one sock is chosen from each drawer. what is the probability that they match? express the answer in decimals.
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What is the approximate distance between the points (-5, 1) and (-2, 3) on a coordinate grid? A.7.81 units B.3.61 units C.2.23 units D.3.32 units
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[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
Where 1 and 2 stands for the points, so in your case the formula is the following
[tex] \sqrt{( - 2 - - 5) {}^{2} + (3 - 1) } [/tex]
[tex] \sqrt{ {3}^{2} + 2 {}^{2} } [/tex]
[tex] \sqrt{9 + 4} [/tex]
[tex] \sqrt{13} =3.605...[/tex]
So your answer is about 3.61
Answer:
3.61
Step-by-step explanation:
Julia is an intern at an architecture firm. She is given an assignment to create a bell-shaped structure that is symmetrical. She writes the function f(x)=3 squareroot -|x-2|+6 to model the structure. Find the piecewise function that matches this absolute value function. Then, graph the function using a graphing calculator and describe what you see.
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Answer:
The given function is
f(x)= 3 [tex]\sqrt\left- |x \right-2 |+6[/tex] ⇒[Absolute value function]
F(x)= 1. 3[tex]\sqrt {-(x-2)+6}[/tex] =[tex]3\sqrt {-x+2+6}=3\sqrt{-x+8}[/tex] when (x-2≥0→x≥2) ⇒[ Piecewise function]
2. [tex]3\sqrt{-[-(x-2)]+6}=3\sqrt{x-2+6}=3\sqrt{x+4}[/tex] when [ x-2<0→x<2]⇒[ Piecewise function]
We see there is a shape which is is in the form of dome,point of intersection of two curves being (2,7.348), symmetrical on both side of line x=2.
A trapezoid has an area of 15 square feet. If the bases are 4 feet and 6 feet , what is the height of the trapezoid? Hurry Big test tomorrow this the last one
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so plug that back into the equation and you get
15=10/2 *h
15=5*h
from here, you know that 15/5 equals 3 and therefore the height of the trapezoid is 3.
Good Luck on ur Big Test!
Final answer:
The height of the trapezoid is 3 feet.
Explanation:
To find the height of a trapezoid with given bases and area, you can use the formula for the area of a trapezoid, which is the average of the two bases multiplied by the height. The formula is as follows:
Area = ½ × (base1 + base2) × height
Given that the area of the trapezoid is 15 square feet and the two bases are 4 feet and 6 feet, the formula becomes:
15 = ½ × (4 + 6) × height
This simplifies to:
15 = ½ × 10 × height
Therefore, we can calculate the height by dividing the area by 5 (which is half of 10):
height = 15 ÷ 5 = 3 feet
So, the height of the trapezoid is 3 feet.
A box has dimensions of 3 inches, 5 inches and 7 inches what is the surface area
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2(3*5+5*7+7*3)
2(15+35+21)
2(71)
SA= 142
Final answer:
The surface area of a box with dimensions of 3 inches by 5 inches by 7 inches is calculated using the formula 2lw + 2lh + 2wh, resulting in a total surface area of 142 square inches.
Explanation:
To calculate the surface area of a box with dimensions of 3 inches, 5 inches, and 7 inches, you would use the surface area formula for a rectangular prism. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
In this case:
Length (l) = 3 inches
Width (w) = 5 inches
Height (h) = 7 inches
Now, plug these dimensions into the formula:
Surface Area = 2(3 inches × 5 inches) + 2(3 inches × 7 inches) + 2(5 inches × 7 inches)
Surface Area = 2(15) + 2(21) + 2(35)
Surface Area = 30 + 42 + 70
Surface Area = 142 square inches
Therefore, the surface area of a box with dimensions of 3 inches by 5 inches by 7 inches is 142 square inches.
Write the equation of the line passing through (−1, 0) and (0, −3).
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The equation of the line passing through (-1, 0) and (0, -3) is y = -3x - 3, where -3 is the slope, and -3 is also the y-intercept.
The equation of a line can be written in slope-intercept form as y = mx + b, where m is the slope of the line, and b is the y-intercept. To find the slope m, we can use the two points given; the slope is the change in y over the change in x, which is (-3 - 0)/(0 - (-1)) = -3/1 = -3. With the slope found, and knowing that the line passes through the point (0, -3), we can say the y-intercept b is -3. The equation of the line through the points (-1, 0) and (0, -3) is y = -3x - 3.
the segments shown below could form a triangle ac=9. cb=8. ba=17
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Here 9+8=17 (not greater), so these segments do not form a triangle.
No, the triangle can not form.
What is Triangle inequality?The sum of any two sides of a triangle is greater than the third side.
Given:
ac=9. cb=8. ba=17
The question is attached below.
We know each triangle satisfy the triangle inequality which state that the sum of the two shorter sides must exceed the length of the third side.
But ,9+8=17 which equal to the third side .
So, these segments do not form a triangle.
Learn more about triangle inequality here:
https://brainly.com/question/1163433
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You want to apply a fertilizer to your lawn. The directions on the bottle call for mixing 3 ounces of fertilizer with 2 gallons of water. Your sprayer holds 5 gallons. To completely fill the sprayer with a proper mixture, how many ounces of fertilizer must you use?
A. 61⁄5
B. 52⁄3
C. 71⁄2
D. 31⁄3
Answers
Answer: 5 2/3
Step-by-step explanation: