Answer:
5 x-intercepts at most.
Step-by-step explanation:
Polynomial function with degree of 5
End behavior: falls to the left and rises to the right OR falls to the right and rises to the left .
Can have 0,1,2,3 or 4 turning points; can have
0,1,2,3,4 or 5 x-intercepts
A quintic polynomial, which is of degree 5, can have at most 5 x-intercepts as per the Fundamental Theorem of Algebra.
Explanation:A quintic polynomial is a polynomial of degree 5. According to the Fundamental Theorem of Algebra, a polynomial of degree n will have exactly n roots, or solutions. However, not all roots necessarily represent x-intercepts, as some might be complex roots.
On a graph, x-intercepts are points where the polynomial touches or crosses the x-axis, corresponding to the real roots of the polynomial equation. So, in general, a quintic polynomial will have at most 5 x-intercepts. This is because a polynomial of degree n can intersect the x-axis at most n times.
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Stella initially put $5 into a piggy bank. Over the next few years she continued to put all of her coins in the piggy bank, such that each year the amount of money in the piggy bank doubled. Determine the equation that represents this situation and use it to decide which of the following graphs represents the amount of money, A(x), in Stella's piggy bank after x years.
Answer: Z.
Step-by-step explanation:
They want you to figure formula then find right graph, but do it fastest way. If it doubles each year, graph can't be straight line, eliminate Y.
A(0) has to be $5, eliminate W. A(1) has to be double A(0), eliminate X. Check: Z shows A(1) is 10, A(2) is 20.
Answer:
The equation is A(x) = 5(2)ˣ and the graph is Graph Z.
Step-by-step explanation:
Equations on compounding interest (which this essentially is) are of the form
A(x) = p(1+r)ˣ, where p is the amount of principal, r is the interest rate and x is the amount of time.
Since Stella begins with $5, the principal is 5.
Since the amount of money doubles each year, this means we add an extra 100%; this makes r equal to 1.
This gives us the equation
A(x) = 5(1+1)ˣ = 5(2)ˣ
This graph will not be linear, as there is not a constant rate of change (there are different amounts added every year).
She begins with $5. This means the y-intercept of the graph will be 5.
After 1 year, the amount of money doubles; this makes it 10. The only graph that is not linear and goes through (0, 5) and (1, 10) is graph Z.
Simplify the expressions. 3/2 − 1/2 a+ 2/3 a+ 3/2
Answer:
[tex]\frac{a}{6}+3[/tex]
Step-by-step explanation:
We have been given an expression and we are asked to simplify our given expression.
[tex]\frac{3}{2} -\frac{1}{2}a+ \frac{2}{3} a+\frac{3}{2}[/tex]
First of all let us combine like terms.
[tex](\frac{2}{3} -\frac{1}{2})a+(\frac{3}{2}+\frac{3}{2})[/tex]
Now let us have a common denominator for the constant terms of a.
[tex](\frac{2*2}{3*2} -\frac{1*3}{2*3})a+(\frac{3}{2}+\frac{3}{2})[/tex]
[tex](\frac{4}{6} -\frac{3}{6})a+(\frac{3}{2}+\frac{3}{2})[/tex]
Now let us simplify the numerators.
[tex](\frac{4-3}{6})a+(\frac{3+3}{2})[/tex]
[tex](\frac{1}{6})a+(\frac{6}{2})[/tex]
Let us divide 6 by 2.
[tex]\frac{1}{6}a+3[/tex]
[tex]\frac{a}{6}+3[/tex]
Therefore, our expression simplifies to [tex]\frac{a}{6}+3[/tex].
To rent a certain meeting room, a college charges a reservation fee of $37 and an additional fee of $5.70 per hour. The chemistry club wants to spend less than $59.80 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t
Answer: t < 4 hours
Step-by-step explanation:
Renting = $37 + t x $5.70
If $37 + t$5.70 < $59.80
t$5.70 < $59.80 - $37
t$5.70 < $22.80
t < $22.80/$5.70
t < 4 hours
[tex]\textit{\textbf{Spymore}}[/tex
If events X and Y are INDEPENDENT, then A) P(X|Y) = P(X) B) P(Y|X) = P(Y) C) P(X and Y) = P(X) x P(Y) D) A, B, and C are all correct
Answer:
The correct option is D.
Step-by-step explanation:
It is given that events X and Y are two independent events.
Two events are called independent events if the occurrence of one does not affect the probability other. It means
[tex]P(X\text{ and }Y)=P(X)\cdot P(Y)[/tex]
[tex]P(X\cap Y)=P(X)\cdot P(Y)[/tex] ..... (1)
Therefore option C is correct.
We know that
[tex]P(X|Y)=\frac{P(X\cap Y)}{P(Y)}[/tex]
Using equation (1),
[tex]P(X|Y)=\frac{P(X)\cdot P(Y)}{P(Y)}[/tex]
[tex]P(X|Y)=P(X)[/tex]
Therefore option A is correct.
We know that
[tex]P(Y|X)=\frac{P(X\cap Y)}{P(X)}[/tex]
Using equation (1),
[tex]P(Y|X)=\frac{P(X)\cdot P(Y)}{P(X)}[/tex]
[tex]P(Y|X)=P(Y)[/tex]
Therefore option C is correct.
Since options A, B and C are correct, therefore we can say that correct option is D.
Final answer:
If events X and Y are INDEPENDENT, then option C) P(X and Y) = P(X) x P(Y) is correct.
Explanation:
If events X and Y are INDEPENDENT, then option C) P(X and Y) = P(X) x P(Y) is correct.
For two events to be independent, the probability of their intersection (P(X and Y)) must be equal to the product of their individual probabilities (P(X) x P(Y)).
In other words, if X and Y are independent events, the chance of both X and Y occurring is equal to the chance of X occurring multiplied by the chance of Y occurring.
classify each triangle by its angles and its sides
Answer:
Acute
Step-by-step explanation:
The last angle is 71 which is less than 90
Answer:
acute triangle
Step-by-step explanation:
The sum of the two angles given is more than 90°, so the remaining angle is less than 90°. All angles are acute angles, so the triangle is an acute triangle.
Which values from the specified set make up the solution set of the inequality?
4n<16 ; {1,2,3,4}
Select ALL OF THE correct answers.
A. 1
B. 2
C. 3
D. 4
Answer:
A. 1B. 2C. 3Step-by-step explanation:
The specified set is fairly limited in size, so we can simply check all the choices and see which works:
For n ∈ {1, 2, 3, 4}
... 4n ∈ {4, 8, 12, 16}
Of these values, only the first three {4, 8 12} are less than 16. (16 is equal to 16, not less than 16.)
The corresponding values of n are {1, 2, 3}.
Identify the expressions that are equivalent to expression given . 3(x-3)
A. 3x-6
B. 3x-8-1
C. X+2x-3
D. X-3+x-3+x-3
[tex]3(x-3)=(3)(x)+(3)(-3)=3x-9\\\\A.\ 3x-6\qquad NOT\\\\B.\ 3x-8-1=3x-9\qquad YES\\\\C.\ x+2x-3=3x-3\qquad NOT\\\\D.\ x-3+x-3+x-3=3x-9\qquad YES[/tex]
50 POINTS! David's Bright laundry detergent commercials claim 9 out of 10 people prefer it. If this is true, how many people out of 250 should prefer David Bright's?
Answer:
225 people.
Step-by-step explanation:
It is 225 people because if you imagine that those 250 people are all made up of groups of ten, there are 25 groups. One person in each group does not prefer David Bright's and there are 25 groups so there are 25 people in the group of 250 people that do not prefer David Bright's. 250-25=225 people.
You want to expand a small patio that is 5 feet by 7 feet as seen in the above diagram. You want to expand it by the same amount, x feet, on each side as shown in the diagram below.
What is the area of the original patio?
What is the area of section A?
What is the area of section B?
What is the area of section C?
The total area of the new patio is the sum of the areas. What is that sum?
Multiply the new area using the length (7+x) and width (5+x).
Are the two areas from 5. and 6. the same?
What is the area of the new patio if you expand it x = 3 feet?
1. Area of the original patio: 35 ft^2
The original patio has is a rectangle with length = 7 feet and width = 5 feet. The area of a rectangle is given by the product between length and width:
[tex]A=L \cdot W[/tex]
Therefore, since in this case L=7 and W=5, the area of the original patio is
[tex]A=(7 ft)(5 ft)=35 ft^2[/tex]
2. Area of section A: 7x ft^2
Section A is also a rectangle, with length = 7 feet and width = x. Therefore, the area of this section is equal to:
[tex]A=L\cdot W=(7 feet)(x)=7x[/tex]
3. Area of section B: 5x ft^2
Section B is also a rectangle, with length = x and width = 5 feet. Therefore, the area of this section is equal to:
[tex]A=L\cdot W=(x)(5 feet)=5x[/tex]
4. Area of section C: [tex]x^2 ft^2[/tex]
Section C is a square, with side equal to x. The area of a square is equal to the square of the length of the side:
[tex]A=L^2[/tex]
therefore, in this case, since L = x, the area of this section is
[tex]A=(x)^2 = x^2[/tex]
5. Total area of the new patio using addition: [tex]x^2 +12x+35[/tex] ft^2
The total area of the new patio is equal to the sum of the four areas calculated in the previous sections:
[tex]A=35 +7x +5x+x^2 = x^2 +12x+35[/tex] ft^2
6. Total area of the new patio using multiplication: [tex]x^2+12x+35[/tex]
The total area of the new patio is equal to the product between the length (7+x) and the width (5+x):
[tex]A=(7+x)(5+x)=35+7x+5x+x^2=x^2+12x+35[/tex] ft^2
7. Yes
As we can see by comparing the area calculated in 5. and the area calculated in 6., the two areas are equal.
8. 80 ft^2
We already have the formula for the area of the new patio:
[tex]A=x^2+12x+35[/tex]
If we substitute x=3, we find the value of the area:
[tex]A=(3)^2+12\cdot 3+35=9+36+35=80[/tex]
PLEASE HELP I HAVE 10 MINS!! find each side length round to the nearest tenth if necessary
Answer:
39
Step-by-step explanation:
Use the Pythagorean theorem! So 15^2+36^2=x^2. So x^2=1521 or x=39
In △ABC, AB=9, BC=12, m∠B=90°, and m∠A=α.
What is sin α?
Enter your answer as a simplified fraction, like this: 3/14
[tex]\text{Use the Pythagorean theorem:}\\\\AB^2+BC^2=AC^2\\\\AC^2=9^2+12^2\\\\AC^2=81+144\\\\AC^2=225\to AC=\sqrt{225}\\\\AC=15\\\\sine=\dfrac{opposite}{hypotenuse}\\\\\text{We have}\ opposite=12\ \text{and}\ hypotenuse=15.\ \text{Substitute:}\\\\\sin\alpha=\dfrac{12}{15}=\dfrac{12:3}{15:3}=\dfrac{4}{5}[/tex]
Final answer:
In a right triangle with given side lengths and angles, sin α can be calculated using the opposite side and the hypotenuse. The sine function in trigonometry is essential for understanding relationships between angles and sides in triangles. The value of sin α = 3/5.
Explanation:
In this case, we have a right triangle ABC with AB = 9, BC = 12, ∠B = 90°, and ∠A = α.
To find sin α, we use the definition of sine in a right triangle: sin α = opposite/hypotenuse.
Therefore, sin α = opposite/hypotenuse = AB/AC = 9/15 = 3/5.
Determine which relation is a function. A. Option C: Coordinate grid with graph of a circle centered at point (zero, zero) B. Option D: Coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and fourth quadrants C. Option A: Coordinate grid with graph of vertical line at x equals three D. Option B: Coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and third quadrants
Answer:
Option D
Step-by-step explanation:
Its is the last option because all the others fail the vertical line test. The vertical line test says that if you can draw a vertical line through the graph which intersects it at more than 1 point then its NOT a function. For example Option A, a circle, the vertical axis passes through the graph at 2 points.
Answer:
D. Option B: Coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and third quadrants
Step-by-step explanation:
The vertical line test says if a line going straight up and down passes through more than one point of a relation, than the graph is not a function.
A. Option C: Coordinate grid with graph of a circle centered at point (zero, zero)
A circle fails the vertical line test so it cannot be a function
B. Option D: Coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and fourth quadrants
This will fail the vertical line test. The first and fourth quadrants are above each other.
C. Option A: Coordinate grid with graph of vertical line at x equals three
A vertical line will fail the vertical line test
D. Option B: Coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and third quadrants
This will pass the vertical line test. The first and third quadrants are diagonal from each other.
Use natural logarithms to solve the equation. 7e2x – 5 = 27 Round to the nearest thousandth.
Answer:
the answer is 0.760
NEED HELP BADLY PLEASE ANSWER ITS ONLY ONE QUESTION
The vertex of a quadratic function is (-3,5). This means that:
The x-intercept is -3 and the minimum or maximum y value is 5.
The minimum or maximum value of the function is -3 and the axis of symmetry is y=5.
The minimum or maximum value of the function is -3 and the y-intercept is 5.
The axis of symmetry is x=-3 and the minimum or maximum y value is 5.
The x-intercept is -3 and the y-intercept is 5.
The axis of symmetry is x=-3 and the minimum or maximum y value is 5.
Step-by-step explanation:The vertex is the extreme point of the quadratic function. The graph is left/right symmetrical about the vertex, so the x-value defines the axis of symmetry. The y-value is the extreme, the maximum or minimum.
_____
Comment on the attachment
The graph shows two quadratic functions (red, blue), each with its vertex at (-3, 5). You can see that the line x=-3 is the axis of symmetry of each of them. You can also see that y=5 is the extreme value of the function (maximum or minimum).
Suppose your car gets 28 miles per gallon of gasoline, and you are driving at 55 miles per hour. Using unit analysis, find the amount of gas you use every hour.
1 27/28 ≈ 1.964 gallons/hour
Step-by-step explanation:You want gallons in the numerator of your unit rate, but that unit is in the denominator of the mileage rate. So, the computation must involve division by 28 mpg. Hours is already in the denominator of 55 mph, so the computation will involve multiplication by that rate.
... (55 mi/h)/(28 mi/gal) = (55 mi/h)·(1 gal/(28 mi)) = 55/28 gal/h
... = 1 27/28 gal/h
Final answer:
To calculate the gas usage per hour, divide the speed of 55 mph by the car's fuel efficiency of 28 mpg, resulting in approximately 1.9643 gallons of gas used per hour.
Explanation:
To determine the amount of gas used every hour by a car that gets 28 miles per gallon (mpg) and is travelling at 55 miles per hour (mph), we can use unit analysis as follows:
Understand the given information: The car's fuel efficiency is 28 mpg, and its speed is 55 mph.Set up the units so that miles cancel out, and you are left with gallons per hour. This can be done by dividing the speed of the car (in miles per hour) by the fuel efficiency (in miles per gallon).Compute the amount of gas used per hour: 55 mph / 28 mpg = 1.9643 gallons per hour (rounded to four decimal places).Therefore, the car uses about 1.9643 gallons of gasoline per hour when driving at a constant speed of 55 mph.
I need help with this!
Which scale factors produce a expansion under a dilation of the original image?
Select each correct answer.
A. −2
B. −0.75
C. 0.75
D. 2
Choose two correct answers!
A. -2
D. 2
Step-by-step explanation:"Expansion" means the magnitude of the scale factor is more than 1. Your choices for that are -2 and 2.
(0.75 and |-0.75| are less than 1.)
Answer: A. −2 and D. 2
Step-by-step explanation:
A scale factor (k) is number which is used to scale a figure.
It is basically used to either reduce or enlarge the size of the figure
When |k| = 1 then there is no change in size.When |k|> 1 then there is an expansion .When |k| < 1 then there is an reduction.A dilation is transformation which uses scale factor to produce the images of same shape as original but of different size.
From the given options , |-2|>1 and |2|>1 where as |-0.75|=0.75<1 and |0.75|<1
Therefore the scale factors produce a expansion under a dilation of the original image are : -2 and 2.
Hence, the correct options are A. −2 and D. 2 .
I will give brainliest (I'm sorry if i cant type)
Jamie is x years old. His friend Ana is the same age.
Enter an expression in the box to represent the sum of Jamie and Ana's ages.
if u don't answer u aren't getting brainliest
Answer:
2x
Step-by-step explanation:
You want the sum ...
... Jamie's age + Ana's age
... = x + x
... = 2x
_____
Comment on answer form
For this sort of problem, it isn't clear whether the preferred answer is the sum (x+x) or the simplified sum (2x).
Find the midpoint between A and B, given that A=(-1,+9i) and B=(5-3i)
Answer:
2 + 3i, midpoint is (2,3)
Step-by-step explanation:
we need to find the midpoint between (-1+9i) and B=(5-3i)
To find the midpoint of two points (a+bi) and (c+di) in a complex plane,
we apply formula
[tex]\frac{a+c}{2} + \frac{b+d}{2} i[/tex]
A = (-1+9i) and B=(5-3i)
Midpoint for AB is
[tex]\frac{-1+5}{2} + \frac{9+(-3)}{2}i[/tex]
[tex]\frac{4}{2} + \frac{6}{2}i[/tex]
2 + 3i , so midpoint is (2,3)
What is the distance, in units, from 0 to point P on the number line.
Answer:
4 1/2
Step-by-step explanation:
The point is marked at -4 1/2 on the number line. The distance from there to the origin is 4 1/2 units.
(Distances and lengths are always positive—as are values derived from them, such as perimeter or area.)
The distance from 0 to any given point P on a number line is simply the absolute value of the point's coordinate.
Explanation:The distance from a point to zero on a number line is determined by the absolute value of the point's coordinate. For example, let's say Point P is situated at 5 on a number line. The distance from 0 to Point P would then simply be the absolute value of 5, which is 5 units.
Another example could be if Point P is located at -3 on the number line. In this case, the distance from 0 to Point P is the absolute value of -3, which again, equals 3 units.
So basically, the distance from 0 to any point P on a number line is just the absolute value of the coordinate of that point.
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Nicole will spend more than $30 on gifts. So far, she has spent $17 . What are the possible additional amounts she will spend? Use c for the additional amount (in dollars) Nicole will spend. Write your answer as an inequality solved for c
Nicole has already spent 17 dollars, and will spend c more dollars, for a total of [tex] 17+c [/tex] dollars.
We want this total to be more than 30, so we have
[tex] 17+c>30 [/tex]
Solving this inequality for c yields
[tex] c > 13 [/tex]
The question asks about the additional amount Nicole will need to spend to exceed a total of $30. Given she has already spent $17, the inequality c > 13 represents the additional amount, in dollars, Nicole must spend to meet this requirement. Therefore, Nicole must spend more than $13.
Explanation:The question is about calculating the possible additional spending of Nicole in order to ensure her total spent will exceed $30. Nicole has already spent $17. As per the condition, set up the inequality which indicates that Nicole will spend more than $30. It's mentioned that we can use c for the additional amount Nicole will spend. Therefore:
17 + c > 30
This inequality can be solved for c by subtracting 17 from both sides:
c > 30 - 17
So,
c > 13
This means Nicole will have to spend more than $13 additionally to ensure her total spending is more than $30.
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A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 50º with the ground. What is the height x, to the nearest foot, of the balloon? A) 85 feet B) 96 feet C) 115 feet D) 128 feet
I know the setup is like this,
Sin(50) =(x/150)
(but I don't have a calculator and the online ones aren't working - plz help)
Answer:
C) 115 feet
Step-by-step explanation:
Assuming your setup is correct and the question is asking the height, given that the length of the slant rope is 150 ft, you find x by multiplying the equation by 150:
... 150*sin(50°) = x ≈ 115 ft
Almost any on-line calculator will compute this value. If you don't specifiy the angle is degrees, you will need to verify that it is properly interpreted. (It may be interpreted as radians. Different calculators make different assumptions.)
The Google or Bing search boxes are pretty reliable calculators. Usually * is suitable as the multiplication indicator, and / works for division. They follow the order of operations rigorously, so parentheses are needed for numerators, denominators, and exponents when more than a single number is involved.
_____
There are on-line equation solvers, too. I've found them to be more fussy and less useful. One likes to give irrational results as the ratio of two (large) integers, for example.
Answer:
115 feet
Step-by-step explanation:
Given : A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 50º with the ground.
To Find: What is the height x, to the nearest foot, of the balloon?
Solution:
We are given a set up :
[tex]sin 50 ^{\circ}=\frac{x}{150}[/tex]
Using scientific calculator find the value of sin 50
0.76604
[tex]0.76604=\frac{x}{150}[/tex]
[tex]0.76604 \times 150=x[/tex]
[tex]114.906=x[/tex]
Hence the height of the balloon is 115 feet.
Option C is correct.
Find the length of the midsegment.
Answer:
50
Step-by-step explanation:
The length of the midsegment is half the length of the base segment, so you have ...
... 2(6x +2) = 2x +84
... 10x = 80 . . . . . . . . . simplify, subtract 2x+4
... x = 8
The length of the midsegment is 6·8+2 = 50.
Sat scores. sat scores of students at an ivy league college are distributed with a standard deviation of 250 points. two statistics students, raina and luke, want to estimate the average sat score of students at this college as part of a class project. they want their margin of error to be no more than 25 points. (a) raina wants to use a 90% confidence interval. how large a sample should she collect? (b) luke wants to use a 99% confidence interval. without calculating the actual sample size, determine whether his sample should be larger or smaller than raina's, and explain your reasoning. (c) calculate the minimum required sample size for luke.
The confidence interval for confidence level of [tex]1-\alpha[/tex] is
[tex]\left(\overline x-Z_{\alpha/2}\dfrac\sigma{\sqrt n},\overline x+Z_{\alpha/2}\dfrac\sigma{\sqrt n}\right)[/tex]
where [tex]\overline x[/tex] is the sample mean, [tex]Z_{\alpha/2}[/tex] is the critical value for the given confidence level, [tex]\sigma[/tex] is the standard deviation of the population, and [tex]n[/tex] is the sample size. The margin of error is the [tex]Z_{\alpha/2}\dfrac\sigma{\sqrt n}[/tex] term.
a) For a confidence level of [tex]1-\alpha=0.90[/tex], we have [tex]Z_{\alpha/2}=Z_{0.05}\approx1.64[/tex]. So in order to have a margin of error of at most 25 points, we have
[tex]1.64\dfrac{250}{\sqrt n}=25\implies n\approx268.96[/tex]
so Raina should collect a sample of at least 269 students.
b) A confidence interval with a higher confidence level would more closely approximate and reflect the population, so it stands to reason that Luke should collect a larger sample than Raina to meet his 99% confidence spec.
c) For a confidence level of [tex]1-\alpha=0.99[/tex], we have [tex]Z_{\alpha/2}=Z_{0.005}\approx2.58[/tex]. Then the margin of error would at most satisfy
[tex]2.58\dfrac{250}{\sqrt n}=25\implies n\approx665.64[/tex]
so that Luke should collect a sample of at least 666 students.
To calculate the sample size required for a given margin of error in a confidence interval, you can use the formula: n = (z * σ) / E. For Raina's 90% confidence interval with a margin of error of 25, she should collect a sample size of 17. Luke's sample size for a 99% confidence interval should be larger than Raina's, and he should collect a minimum sample size of 26.
Explanation:To calculate the sample size required for a given margin of error in a confidence interval, you can use the formula:
n = (z * σ) / E
Where:
n = sample size
z = z-score corresponding to the desired confidence level
σ = standard deviation of the population
E = margin of error
(a) To find the sample size for Raina's 90% confidence interval with a margin of error of 25, we plug the values into the formula:
n = (1.645 * 250) / 25 = 16.45
Since sample sizes must be whole numbers, Raina should collect a sample size of 17.
(b) Luke's 99% confidence interval will require a larger sample size because the z-score for 99% confidence is larger than for 90% confidence. Therefore, without calculating the actual sample size, we can determine that Luke's sample size should be larger than Raina's.
(c) To calculate the minimum required sample size for Luke's 99% confidence interval, we use the same formula and plug in the values:
n = (2.576 * 250) / 25 = 25.76
Rounding up, Luke should collect a minimum sample size of 26.
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Ab is 10. 8 units long if ABC is dilated by a scale factor of k equals 1.3 what is the length of a'b'
Whic number is divisible by 3?
A. 35
B. 133
C. 103
D. 153
Answer:
D
Step-by-step explanation: 153 divided by 3 = 51
Answer:
D. 153
Step-by-step explanation:
Which number is divisible by 3?
A number is divisible by 3 if you add all the digits and it is divisible by e.
A. 35
3+5 = 8
8/3 has a remainder so it is not divisible by 3
B. 133
1+3+3 = 7
7/3 has a remainder so it is not divisible by 3
C. 103
1+0+3 =4
4/3 has a remainder so it is not divisible by 3
D. 153
1+5+3 =9
9/3 =3 153 is divisible by 3
Item 19 A plant has an initial height of 1 inch and grows at a constant rate of 3 inches each month. A second plant that also grows at a constant rate has an initial height of 4 inches and is 28 inches tall after 1 year. After how many months are the plants the same height?
if it takes 10 1/2 hours to walk 27.6 miles how long would it take to walk 1 mile?
about 0.380435 hours . . . approximately 22 minutes 49.6 seconds
Step-by-step explanation:Start with this equation ...
... 10.5 hours = 27.6 miles
And divide both sides by 27.6
... 10.5/27.6 hours = 1 mile
... 0.380435 hours = 1 mile
find the value of x & y.
x = 77.56 cm
y = 69.71 cm
Step-by-step explanation:The mnemonic SOH CAH TOA reminds you that ...
... Cos = Adjacent/Hypotenuse
so ...
... cos(64°) = (34 cm)/x
... x = (34 cm)/cos(64°) ≈ 77.56 cm
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It also reminds you ...
... Tan = Opposite/Adjacent
so ...
... tan(64°) = y/(34 cm)
... (34 cm)·tan(64°) = y ≈ 69.71 cm
How to find the interval(s) the function is increasing on a graph.
Look for any interval where the curve is going uphill as you read it from left to right. The interval your teacher will want is the x interval that corresponds to this upward motion.
Let ABCDEFGH be a cube and M the midpoint of GH. It is known that the distance between the lines BM and AD is a[tex]\sqrt{5}[/tex]. What is the length of AB?
Answer:
√5
Step-by-step explanation:
We suppose the vertices are named clockwise around the top of the cube, then clockwise around the bottom (looking down from above the cube), with vertex E below vertex D. Then line AD is in plane ADEF, and line BM is in plane BCHG.
The distance between the named parallel planes is the distance between the lines. That distance is AB, which is given as √5.
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A diagram helps.