Answer:
6
Step-by-step explanation:
In order for 132* to be a multiple of 2, the digit * must be even.
In order for 132* to be a multiple of 3, the sum of all digits must be a multiple of 3. That is (1 +3 +2 + *) = 6+* is a multiple of 3. Since 6 is already a multiple of 3, then * must be a multiple of 3.
Single-digit values of * that are both even and a multiple of 3 are 0 and 6. We know that any number ending in 0 will be a multiple of 5, so we cannot use that digit.
The only possible digit that makes 132* a multiple of 2 and 3, but not 5, is 6.
Help!
Use the given conditions to write an equation for the line in point-slope form.
Passing through (-5, -7) and (-8, -6)
A) y− 7 = −13(x−5) or y −6 = −13(x−8)
B) y+7= −13(x+8) or y+6 = −13(x+5)
C) y+7 = −13(x+5) or y+6 = −13(x+8)
D) y+7 = −13(x+5) or y +6 = −13(x+7)
[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-6-(-7)}{-8-(-5)}\implies \cfrac{-6+7}{-8+5}\implies \cfrac{1}{-3}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-7)=-\cfrac{1}{3}[x-(-5)]\implies y+7=-\cfrac{1}{3}(x+5)[/tex]
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-(-6)=-\cfrac{1}{3}[x-(-8)]\implies y+6=-\cfrac{1}{3}(x+8)[/tex]
A line in the Cartesian plane passes through the points (5,8) and (9,15). What is the slope of the line?
A. 4⁄7
B. –7⁄4
C. –4⁄7
D. 7⁄4
[tex]\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{15}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{15-8}{9-5}\implies \cfrac{7}{4}[/tex]
Solve the system of equations given below
[tex]
y-15=3x \\
-2x+5y=-3 \\ \\
-2x+y-15=0 /\cdot2 \\
-2x+5y-3=0 /\cdot(-2) \\ \\
-4x+2y-30=0 \\
4x-10y+6=0 \\ \\
-8y-24=0 \\
\boxed{y=-3} \\ \\
-3-15=3x \\
\boxed{x=-6}
[/tex]
The answer is C. (-6, -3)
Hope this helps.
r3t40
For this case we have the following system of equations:
[tex]y-15 = 3x\\-2x + 5y = -3[/tex]
We multiply the first equation by -5:
[tex]-5y + 75 = -15x[/tex]
Now we add the equations:
[tex]-2x-5y + 5y + 75 = -3-15x\\-2x + 75 = -3-15x\\-2x + 15x = -75-3\\13x = -78\\x = \frac {-78} {13}\\x = -6[/tex]
We find the value of the variable "y" according to the first equation:
[tex]y = 3x + 15\\y = 3 (-6) +15\\y = -18 + 15\\y = -3[/tex]
The solution of the system is: (-6, -3)
Answer:
(-6, -3)
Option C
A sack of potato with 14 lbs. 9 oz. After Wendy makes potato salad for a picnic does sac wait 9 lbs. 14 oz. What is the week of the potato Wendy's use for the potato salad
Answer:
Your answer should be 4 pounds 6 ounces.
Step-by-step explanation:
If you subtract how much the potato sack was before she made the potato salad from how much it was after, this gives you how much the potato she used weighed.
The amount of a sample remaining after t days is given by the equation p(t)=A(1/2)^t/h, where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?
Answer:
9.4 days
Step-by-step explanation:
Filling in the given numbers, we can solve for t:
0.18 = 1·(1/2)^(t/3.8)
log(0.18) = (t/3.8)log(1/2)
t = 3.8·log(0.18)/log(0.50) ≈ 9.4 . . . . days
The best estimate of the age of the sample is 9.4 days.
Answer:
9.4 days
Step-by-step explanation:
The z-statistic for a sample of delmar's practice times is 1.41. how should this statistic be interpreted in terms of the hypothesis test?
Answer:
Part 1: Answer C) There is not enough evidence to reject H0
Part 2: Answer C) There is not enough evidence to accept or reject his claim.
Step-by-step explanation:
Just did it on edge
The z-statistic of 1.41 means the sample mean is 1.41 standard deviations to the right of the population mean, if we assume the null hypothesis is true. The corresponding p-value is approximately 0.1587, which is greater than the commonly used threshold (0.05), leading us to not reject the null hypothesis.
Explanation:The z-statistic of 1.41 in the sample of Delmar's practice times can be used to draw conclusions about the sample's relationship to the population in a hypothesis test. It represents how many standard deviations an element (or group of elements, like a sample mean) falls from the mean or average of a population. A z-statistic of 1.41 means that the sample mean falls 1.41 standard deviations to the right of the population mean, assuming the null hypothesis to be true.
This information is useful in determining the p-value, which is the probability of observing a test statistic as extreme as the one calculated, assuming that the null hypothesis is true. If the p-value is smaller than the predetermined significance level (let's assume α=0.05), we would reject the null hypothesis. The p-value corresponding to z=1.41 in a two-tailed test is approximately 0.1587. Since this p-value is greater than 0.05, we would not reject the null hypothesis and state that we do not have enough evidence to suggest that Delmar's practice times are significantly different from the population.
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solve for x and show all your work
3x + 4 = 16
Answer:
x=4
Step-by-step explanation:
16-4=12
3x=12
3*4=12
Answer: [tex]x=4[/tex]
Step-by-step explanation:
You need to find the value of the variable "x".
To solve for "x", the first step is to apply the Subtraction property of equality, which states that:
[tex]If\ a=b\ then\ a-c=b-c[/tex]
Then, you need to subtract 4 from both sides of the equation:
[tex]3x + 4 = 16\\3x + 4-4 = 16-4\\3x=12[/tex]
And finally, you can apply the Division property of equality, which states that:
[tex]If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}[/tex]
Then you can divide both sides of the equation by 3, getting:
[tex]\frac{3x}{3}=\frac{12}{3}\\\\x=4[/tex]
What is the tangent ratio for ∠A?
Answer:
Tan <A = 1/2
Step-by-step explanation:
SOH CAH TOA
TOA (opposite/adjacent)
So, the answer is 1/2
because the opposite of <A is 1 and the adjacent is 2.
For this case we have to define trigonometric relations of rectangular triangles, that the tangent of an angle is given by the leg opposite the angle on the leg adjacent to the angle. Then, according to the figure we have:
[tex]tg (A) = \frac {1} {2}[/tex]
Answer:
[tex]tg (A) = \frac {1} {2}[/tex]
Which of the following are true statemetns about a 30-60-90 triangle?
I think it is a and b but I'm not sure
Answer:
Use the hyper link
Step-by-step explanation:
I took a picture on the unit.
Answer:
A.The longer leg is √3 times as long as the shorter
B. The hypotenuse is twice as long as the shorter leg
Step-by-step explanation:
The 30-60-90 is a special triangle with two acute angles 30° and 60°
The side across from the 30°= shorter leg
The side across from 60°=longer leg
The side across from 90°=hypotenuse
If we take the shorter side to be x and hypotenuse to be 2x then the longer leg will be;
Apply Pythagorean relationship
a² + b² =c²
c²-a²=b² where-----------c=2x and a=x
(2x)² - x² = b²
4x² - x² =b²
3x² = b²
√3x²=b
x√3 =b
Hence longer leg is √3 times longer than the shorter leg which is x and the hypothenuse 2x is twice the shorter leg which is x
In right △ABC, the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find the sides of △ABC if AD = 8 cm and DH = 4 cm.
Answer:
[tex]AC=8\sqrt{3}\ cm\\ \\AB=16\sqrt{3}\ cm\\ \\BC=24\ cm[/tex]
Step-by-step explanation:
Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.
By the Pythagorean theorem,
[tex]AD^2=AH^2+DH^2\\ \\8^2=AH^2+4^2\\ \\AH^2=64-16=48\\ \\AH=\sqrt{48}=4\sqrt{3}\ cm[/tex]
AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:
[tex]\dfrac{CA}{CD}=\dfrac{AH}{HD}\\ \\\dfrac{CA}{CD}=\dfrac{4\sqrt{3}}{4}=\sqrt{3}\Rightarrow CA=\sqrt{3}CD[/tex]
Consider right triangle CAH.By the Pythagorean theorem,
[tex]CA^2=CH^2+AH^2\\ \\(\sqrt{3}CD)^2=(CD+4)^2+(4\sqrt{3})^2\\ \\3CD^2=CD^2+8CD+16+48\\ \\2CD^2-8CD-64=0\\ \\CD^2-4CD-32=0\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144\\ \\CD_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm 12}{2}=-4,\ 8[/tex]
The length cannot be negative, so CD=8 cm and
[tex]CA=\sqrt{3}CD=8\sqrt{3}\ cm[/tex]
In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,
[tex]AB=2CA=16\sqrt{3}\ cm[/tex]
By the Pythagorean theorem,
[tex]BC^2=AB^2-AC^2\\ \\BC^2=(16\sqrt{3})^2-(8\sqrt{3})^2=256\cdot 3-64\cdot 3=576\\ \\BC=24\ cm[/tex]
Suppose the initial height of a Pumpkin is 12 feet and the pumpkin is being launched with a velocity of 61 feet per second. Use this information to find out the maximum height the pumpkin will go before landing.
Please show your work
(98 points)
The answer is:
The maximum height before landing will be 69.7804 feet.
Why?Since there is no information about the angle of the launch, we can safely assume that it's launched vertically.
So, we can calculate the maximum height of the pumpkin using the following formulas:
[tex]y=y_o+v_{o}*t-\frac{1}{2}gt^{2}[/tex]
[tex]v=vo-gt[/tex]
Where,
y, is the final height
[tex]y_o[/tex], is the initial height
g, is the acceleration of gravity , and it's equal to:
[tex]g=32.2\frac{ft}{s^{2} }[/tex]
t, is the time.
Now, we are given the following information:
[tex]y_{o}=12ft\\\\v=61\frac{ft}{s}[/tex]
Then, to calculate the maximum height, we must remember that at the maximum height, the speed tends to 0, so, calculating we have:
Time calculation,
We need to use the following equation,
[tex]v=vo-gt[/tex]
So, substituting we have:
[tex]v=61\frac{ft}{s}-32.2\frac{ft}{s^{2}}*t\\\\-61\frac{ft}{s}=-32.2\frac{ft}{s^{2}}*t\\\\t=\frac{-61{ft}{s}}{-32.2\frac{ft}{s^{2}}}=1.8944s[/tex]
We know that it will take 1.8944 seconds to the pumpkin to reach its maximum height.
Maximum height calculation,
Now, calculating the maximum height, we need to use the following equation:
[tex]y=y_o+v_{o}*t-\frac{1}{2}gt^{2}[/tex]
Substituting and calculating, we have:
[tex]y=y_o+v_{o}*t-\frac{1}{2}gt^{2}[/tex]
[tex]y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}[/tex]
[tex]y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}\\\\y_{max}=12ft+115.5584ft-16.1\frac{ft}{s^{2}}*(3.5887s^{2})\\\\y_{max}=127.5584ft-57.7780ft=69.7804ft[/tex]
Hence, we have that the maximum height before the landing will be 69.7804 feet.
Have a nice day!
Jalen randomly chooses a number from 1 - 10 . What Is the probability he chooses a number greater than 3?
A. 3/5
B. 1/5
C. 7/9
D. 7/10
The answer will be D. 7/10 because you have 10 numbers and you want to have a number greater than 3 so it would be 10-3=7 and 7 would go over 10 because there are 7 numbers greater than 3 but less than 10.
The probability he chooses a number greater than 3 is 7/10, the correct option is D.
What is Probability?Probability is the likeliness of an event to happen.
Jalen randomly chooses a number 1-10
Probability = ( No. of favourable outcomes)/ Total Outcomes
The chances of getting the number more than 3 is 7
Total numbers are 10
The probability he chooses a number greater than 3 is 7/10.
Therefore, the correct option is D.
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Which function is equivalent to f(x) = e2x ?
Im pretty sure this is the answer F (x) = e^2x + 1
I need help with this 50 points
Answer:
Step-by-step explanation:
Vertically stretched. The action of vertically stretched is accomplished by altering a in
y = a* abs(x)
What that means is that you make a > 1. In this case, a = 2
So far, what you have is
y = 2*abs(x)
Six units down. The action of 6 units down is accomplished by a number added or subtracted to/from absolute(x). down is minus, up is plus.
y = 2*abs(x) - b. Since we are moving down, b<0
y = 2*abs(x) - 6
Four Units Right. This is the tough one because it is anti intuitive. You would think you should be adding something somewhere to get a right hand movement.
Not true.
To move right you subtract something in the brackets.
y = 2*abs(x - 4) - 6
Graph
Just to make things complete, I have graphed this for you. Desmos is wonderful for this kind of problem.
red: y = abs(x)
blue: y = 2*abs(x - 4) - 6
Answer:
Step-by. step explanation:
Rhea is solving a math puzzle. To find the solution of the puzzle, she must find the product of two numbers. The first number is the sum of 23 and x, and the second number is 18 less than two times the first number. Which of the following functions represents the product of these two numbers?
First number = 23+x
Second number = 2(23+x)-18 = 46 +2x -18 = 2x +28
Now multiply each term by each term :
23 +x * 2x +28
23 * 2x + 23 * 28 + x *2x + x*28=
46x + 644 + 2x^2 + 28x =
Final answer = 2x^2 +74x +644
The answer is D.
Answer:
The product of two numbers is [tex]P(x)=2x^2+74x+644[/tex]
Step-by-step explanation:
We are given that The first number is the sum of 23 and x,
First number = 23+x
The second number is 18 less than two times the first number.
Second Number = [tex]2(23+x)-18[/tex]
The product of two numbers : [tex](23+x)(2(23+x)-18)[/tex]
[tex](23+x)(46+2x-18)[/tex]
[tex](23+x)(28+2x)[/tex]
[tex]2x^2+74x+644[/tex]
Let P(x) denotes the product
So, The product of two numbers is [tex]P(x)=2x^2+74x+644[/tex]
Hence Option D is true .
The product of two numbers is [tex]P(x)=2x^2+74x+644[/tex]
Can you guys please help
if you add 3 to it it would be 6
A gym surveyed 100 female members. These members were chosen at random from the gym's membership database. Participants were asked the question, "Do you prefer to use the easy weight-lifting machines or the harder free weights?"
A report of the survey results stated that female members at the gym prefer the weight-lifting machines over the free weights.
Select ALL statements that correctly evaluate the report.
Answer:
Step-by-step explanation:
The sample is not biased. The members were selected at random from the gym's female population.
The question is biased. It described the weight lifting machines as "easy" and the free weights as "harder".
The second and third choices are correct.
For real number a, which of the following equations are true ? Select all that apply.
ANSWER
[tex] \lim_{x \to \: a}(x) = a[/tex]
[tex]\lim_{x \to \: a}(a) = a[/tex]
[tex]\lim_{x \to \: 5}(x) = 5[/tex]
EXPLANATION
For real number 'a',
[tex] \lim_{x \to \: a}(x) = a[/tex]
is true because we have to plug in 'a' for x.
[tex]\lim_{x \to \: a}(a) = a[/tex]
This is also true because limit of a constant is the constant.
[tex]\lim_{x \to \: 5}(4) = 5[/tex]
is false. The correct value is
[tex]\lim_{x \to \: 5}(4) =4[/tex]
[tex]\lim_{x \to \: 5}(x) = 5[/tex]
is also true because we have to substitute 5 for x.
[tex]\lim_{x \to \: a}(a) = x[/tex]
is also false
The limit should be
[tex]\lim_{x \to \: a}(a) = a[/tex]
Answer:
A, B, D
Step-by-step explanation:
Answers for the rest of the quick check
1. A,B,D
2. 16, D
3. 10a, B
4. 3, D
Good Luck :)
A triangle has an angle that measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles?
Answer:
Step-by-step explanation:
sum of angle of triangle is 180 degree
5x+8x+50degree =180 degree
13x= 180-50
13x= 130
x= 130/13
x=10
5x= 5*10=50degree
8x= 8*10 =80degree
The value of other two angles of triangle are 50 and 80 degrees.
Angles of triangle:Let us consider that other two angles of triangle are 5x and 8x.
Given that, one angle of triangle is 50 degree.
By property of triangle, sum of all three angles is equal to 180 degrees.
[tex]5x+8x+50=180\\\\13x=130\\\\x=130/13=10[/tex]
Other two angles of triangle are,
[tex]5x=5*10=50\\\\8x=8*10=80[/tex]
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Which of the following points is on a circle if its center is (-13,-12) and a point on the circumference is (-17, -12)?
A. (-17,-13)
B. (-9, -17)
C. (-12, 13)
D. (-9, -12)
Answer:
D
Step-by-step explanation:
Obtain the equation of the circle in standard form
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 13, - 12), thus
(x + 13)² + (y + 12)² = r²
The radius is the distance from the centre (- 13, - 12) to the point on the circumference (- 17, - 12)
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 17, - 12) and (x₂, y₂ ) = (- 13, -12)
r = [tex]\sqrt{(-13+17)^2+(-12+12)^2}[/tex] = [tex]\sqrt{16}[/tex] = 4
Hence
(x + 13)² + (y + 12)² = 16 ← in standard form
Substitute the coordinates of each point into the left side of the equation and check
A (- 17, - 13) : (- 4)² + (- 1)² = 16 + 1 = 17 ≠ 16
B (- 9, - 17) : 4² + (- 5)² = 16 + 25 = 41 ≠ 16
C (- 12, 13) : 1² + 25² ≠ 16
D (- 9, - 12) : 4² + 0² = 16
Since (- 9, - 12) satisfies the equation, it is on the circle → D
Point D (-9, -12) is on the circumference of the circle centered at (-13,-12) with a radius of 4 units.
Explanation:To determine which point is on the circumference of a circle with the center at (-13,-12) and a known point on the circumference (-17, -12), we must first find the radius of the circle. The radius can be found by calculating the distance between the center and the known circumference point, which here is the horizontal distance between (-13,-12) and (-17, -12), equal to 4 units. Now, we have to check which of the given points is 4 units away from the center (-13,-12). After checking all options, the correct answer is D. (-9, -12).
To confirm, calculate the distance between the center and point D:
Distance = √((-9 - (-13))^2 + (-12 - (-12))^2)\
Distance = √((4)^2 + (0)^2)\
Distance = √(16)\
Distance = 4
Therefore, point D lies on the circumference of the circle as it is the same distance (radius) from the center as the known point (-17, -12).
use a cube and a cylinder to build a new shape. Repeat. Draw to show how you can combine these two new shapes to make a larger shape
Check the picture below.
If these two shapes are combined then the new shape is generated. Then the new shape will be given below.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A cube and a cylinder are given.
If these two shapes are combined then the new shape is generated. Then the new shape will be
The shape is given below.
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How do you evaluate trig functions without a calculator
You can't in theory. Only a few "nice" values are known, because they lead to particular triangles. For example, we have
[tex]\sin(0)=0,\quad \cos(0)=1[/tex][tex]\sin(30)=\frac{1}{2},\quad \cos(30)=\frac{\sqrt{3}}{2}[/tex][tex]\sin(45)=\cos(45)=\frac{\sqrt{2}}{2}[/tex]You can add other angles using symmetries, for example, you can compute sin(60) using sin(90-x) = cos(x), or similar stuff.
You can also use the double/half angles identities to add another couple of angles in our list, but that's it.
All of the following are equivalent, except _____.
2x + x
x(2 + 1)
2x²
3x
2x+x = 2x^2
X(2+1) = 2x^2
2x^2 stays the same
Therefore the answer is d 3x is not the same as the rest
Answer:
2x^2
Step-by-step explanation:
2x+x=3x
x(2+1)=2x+x=3x
3x
Graph the solution set of the system of inequalities or indicate that the system has no solution.
y ≥ 2x – 4
x + 2y ≤ 7
y ≥ -2
x ≤ 1
The graph of inequality have many solution .
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
The system of inequalities:
y ≥ 2x – 4
x + 2y ≤ 7
y ≥ -2
x ≤ 1
values to the graph of inequalities we will have to make inequalities into equal sign
y ≥ 2x – 4
y = 2x – 4
x y
0 -4
1 -2
2 0
Now,
As per graph of inequalities rules:
The solid line for ≤ and ≥.If the symbol ≥ or > is used, shade above the line.
x + 2y ≤ 7
x + 2y = 7
x y
0 3.5
1 3
2 2.5
Now,
As per graph of inequalities rules:
The solid line for ≤ and ≥.If the symbol ≤ or < is used, shade below the line.
y ≥ -2
y = -2
Now,
As per graph of inequalities rules:
The solid line for ≤ and ≥.If the symbol ≥ or > is used, shade above the line.
x ≤ 1
x = 1
Now,
As per graph of inequalities rules:
The solid line for ≤ and ≥.If the symbol ≤ or < is used, shade below the line.
Therefore, the darker part in graph is common part of all 4 inequalities with point (1,-2) and (1,3) .
Hence, The graph of inequality have many solution .
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A number generator was used to simulate the percentage of people in a town who ride a bike. The process simulates randomly selecting 100 people from the town and was repeated 20 times. The percentage of people who ride a bike is shown in the dot plot.
Which statement is true about the population of the town?
Answer:
Step-by-step explanation:
Of the 20 trials, 18 of them ended up between 60 and 75. So most likely, 60% to 75% of the town rides a bike.
The true statement about the dot plot is (c) Most likely, 60% to 75% of the town rides a bike.
How to interpret the dot plot?From the dot plot, we have the following sample between 60 and 75%
Sample = 3 + 4 + 6 + 5
Evaluate
Sample = 18
The above means that 18 out of the 20 trials fall between 60 and 75%
This means that between 60 and 75% of the town rides a bike
Hence, the true statement about the dot plot is (c)
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Evaluate 7 − (−1).
6
−6
8
−8
Simplify brackets
7 + 1
Simplify
8
Answer: C. 8
Answer:
minus and minus is plus
7+ 1 is 8 :)
The midpoint of AB =
Answer:
(-.5, 0)
Step-by-step explanation:
y ---- 2÷2=1, y-1= 1-1=0
x ---- 3÷2 =1.5, x-1.5= 1-1.5= -.5
Answer:
( -0.5, 0 )
Step-by-step explanation:
Add the 0 before 5, it matters if its right or wrong. The Answer is ( -0.5 , 0 ). ADD THE 0 !!!!!
Which inequality statement best represents the graph?
f(x) > –x2 + x – 1
f(x) < x2 + x – 1
f(x) < –x2 + x – 1
f(x) > x2 + x – 1
Answer:
f(x) < –x2 + x – 1
Step-by-step explanation:
The graph is going down so we know that there is a maximum, therefore the A value has to be negative. This rules out f(x) < x2 + x – 1 and f(x) > x2 + x – 1 . The shaded area of the graph is below which indicates that f(x) has to be less than the function. This means the correct answer is f(x) < –x2 + x – 1 .
Answer:
[tex]y>-x^2 +x-1[/tex]
Step-by-step explanation:
Lets find the inequality that best describes the given statement
The graph of the parabola is upside down so the value of 'a' is -1
It means the equation for the parabola becomes [tex]y=-x^2 +x-1[/tex]
Now to get inequality , lets pick a point from the shaded part .
Lets pick (0,0), plug in 0 for x and 0 for y
[tex]y=-x^2 +x-1[/tex]
[tex]0=-(0)^2 +(0)-1[/tex]
[tex]0=-1[/tex]
0 is greater than -1
[tex]y>-x^2 +x-1[/tex]
Evaluate the line integral c f · dr, where c is given by the vector function r(t). f(x, y) = xy i + 6y2 j r(t) = 14t4 i + t6 j, 0 ≤ t ≤ 1
[tex]\vec r(t)=14t^4\,\vec\imath+t^6\,\vec\jmath[/tex]
[tex]\mathrm d\vec r=(56t^3\,\vec\imath+6t^5\,\vec\jmath)\,\mathrm dt[/tex]
[tex]\vec f(x,y)=xy\,\vec\imath+6y^2\,\vec\jmath\implies\vec f(x(t),y(t))=14t^{10}\,\vec\imath+6t^{12}\,\vec\jmath[/tex]
Then the line integral is
[tex]\displaystyle\int_C\vec f\cdot\mathrm d\vec r=\int_0^1(14t^{10}\,\vec\imath+6t^{12}\,\vec\jmath)\cdot(56t^3\,\vec\imath+6t^5\,\vec\jmath)\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^1(36t^{17}+784t^{13})\,\mathrm dt=\boxed{58}[/tex]
The line integral c f dot dr for the given parameters can be calculated by substituting values of functions r(t) and f(x, y) into the line integral, then integrating over t from 0 to 1.
Explanation:To solve this problem, we start by writing the vector valued function r(t) and the vector field f(x, y) in component form. Given that r(t) = 14t4i + t6j and f(x, y) = xyi + 6y2j, the line integral c f dot dr becomes a definite interval where we integrate over t from 0 to 1.
In this case, we're essentially finding the work done by the vector field f as a particle moves along the path described by r(t). To calculate this, we need to find dr/dt which in our case evaluates to 56t3i + 6t5j.
Subsequent substitution of x = 14t4 and y = t6 into f will provide a new vector ft for f dot dr. Now we can find f dot dr by multiplying corresponding components of ft and dr/dt, add them up, and then integrate over t from 0 to 1.
Learn more about Line Integral here:https://brainly.com/question/34566674
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zoes living room rug is 3 feet wide and 7 feet long she will cover the rug with 6 inch cardboard pieces for a painting project how many cardboard pieces will zoe need
Zoe will need 84 pieces if they are 6” by 6”
For this case we have that by definition, 1 foot equals 12 inches.
So:
[tex]3 \ ft = 36 \ in\\7 \ ft = 84 \ in[/tex]
So, the area of the Zoes carpet is:
[tex]A = 36 * 84 = 3024 \ in ^ 2[/tex]
If the cardboard pieces are[tex]6 \ in\ by\ 6 \ in[/tex], then the area is:
[tex]36 \ in ^ 2[/tex]
To indicate the number of necessary pieces we divide:
[tex]\frac {3024} {36} = 84[/tex]
Thus, 84 pieces of cardboard are needed
Answer:
84