3x^2-|y| when x=-5 and y=-2
Answer:
3x²-|y|
= 3(-5)²-|-2|
=75-2
=73
which of the segments below is a radius?
Answer:
OZ
Step-by-step explanation:
radius goes from the circle center point, outward.
Answer: OZ, OK, OG
Step-by-step explanation: each of these segments have a connection directly from the center of the circle to the edge of the circle
calculate the area, in square units, bounded above by x=y√−1 and x=−59y 7 and bounded below by the x-axis.
The given equation "x=y√−1" seems to be incomplete or contains a typographical error.
To calculate the area bounded above by the curve x=y√−1 and x=−59y^7 and below by the x-axis, we need to find the limits of integration and set up the definite integral.
First, we need to find the intersection points of the two curves. Equating y√−1 and −59y^7, we can solve for y to find the y-values at the intersection points. Then we can set up the integral as the definite integral from the lower limit to the upper limit of the curve y√−1. The limits of integration will be the y-values of the intersection points.
Once we have set up the integral, we can integrate the function y√−1 with respect to y and evaluate the result. This will give us the area bounded above by the curve x=y√−1 and x=−59y^7 and below by the x-axis.
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Classify the relationship between the pair of angles:
3 and 12
alternate exterior
alternate interior
consecutive interior
corresponding
Answer:
Consecutive Interior
Find the value by evaluating the function. Do not include spaces in your answer.
Answer:
Solution is 34
Step-by-step explanation:
to find f(8) you plug in 8 for x in the equation
f(x)=4(8)+2=34
hope this helps.
Let U = {(x, y, z) € R^3 | x + 2y – 3z =0}. a) (2pt) Show directly (by verifying the conditions for a subspace) that U is a subspace of R^3. You may not invoke results learned in class or from the notes. b) (2pts) Find a basis for U. You must explain your method. c) (1pt) Using your answer from part b) determine Dim(U).
a) U is subspace of R^3.
b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.
c) 2.
a) To show that U is a subspace of R^3, we need to verify the following three conditions:
i) The zero vector (0, 0, 0) is in U.
ii) U is closed under addition.
iii) U is closed under scalar multiplication.
i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.
ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:
x1 + 2y1 - 3z1 = 0 (by definition of U)
x2 + 2y2 - 3z2 = 0 (by definition of U)
Adding these two equations, we get:
(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0
which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.
iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:
x + 2y - 3z = 0 (by definition of U)
Multiplying both sides of this equation by c, we get:
cx + 2cy - 3cz = 0
which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.
Since U satisfies all three conditions, it is a subspace of R^3.
b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:
x = 3z - 2y
y = (x - 3z)/2
Substituting z = t into these equations, we get:
x = 3t - 2y
y = (x - 3t)/2
Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:
(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)
Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.
c) Since the basis for U has two elements, the dimension of U is 2.
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help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
Other than the unit of measurement i am genuinely confused by this because (as far as I know) there is no possible way of figuring this out. The unit is obviously meters but I have no idea what the answer is. You should ask your teacher to explain it to you because it's confusing.
A humane society claims that 30% of U.S. households own a cat. In a random sample of 210 U.S. households, 35% say they own a cat. Is there enough evidence to show this percent has increased? Identify the appropriate null and alternative hypotheses.A humane society claims that 30% of U.S. households own a cat. In a random sample of 210 U.S. households, 35% say they own a cat. Is there enough evidence to show this percent has increased? Identify the appropriate null and alternative hypotheses.A. H_{0}: p = 0.30 \text{ vs. } H_{a}: p > 0.30H0:p=0.30 vs. Ha:p>0.30B. H_{0}: p = 0.30 \text{ vs. } H_{a}: p < 0.30H0:p=0.30 vs. Ha:p<0.30C. H_{0}: p = 0.35 \text{ vs. } H_{a}: p > 0.35H0:p=0.35 vs. Ha:p>0.35D. H_{0}: p = 0.35 \text{ vs. } H_{a}: p < 0.35H0:p=0.35 vs. Ha:p<0.35
We do not have enough evidence to show that the proportion of households owning a cat has increased from 30%.
The appropriate null and alternative hypotheses in this scenario would be:
H0: p = 0.30 (the proportion of households owning a cat is equal to 30%)
Ha: p > 0.30 (the proportion of households owning a cat has increased from 30%)
To determine if there is enough evidence to support the alternative hypothesis, we can conduct a hypothesis test using a significance level (alpha) of 0.05. We would calculate the test statistic using the formula:
z = (sample proportion - population proportion) / standard error
In this case, the sample proportion is 0.35, the population proportion is 0.30, and the standard error can be calculated using the formula:
SE = sqrt[(p * q) / n]
where p is the population proportion (0.30), q is 1 - p (0.70), and n is the sample size (210).
Plugging in these values, we get:
SE = sqrt[(0.30 * 0.70) / 210] = 0.038
Then, we can calculate the test statistic:
z = (0.35 - 0.30) / 0.038 = 1.32
To determine if this test statistic is significant, we can compare it to the critical value from a z-table. For a one-tailed test at a significance level of 0.05, the critical value is 1.645. Since our test statistic of 1.32 is less than the critical value of 1.645, we fail to reject the null hypothesis.
Therefore, we do not have enough evidence to show that the proportion of households owning a cat has increased from 30%.
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Will mark brainliest if you get the correct answer.
Answer:
2×2×5×7=20×7=140
2×3×6×7=36×7=252
252+140=392
A car traveled 180 miles at a constant rate. If the car traveled for 5 hours,
what was the rate of travel (in miles per hour) of the car?
Answer:
36 mph
Step-by-step explanation:
In this question, we are trying to find how many miles the car drives PER hour.
We know that the car traveled 180 miles, and within the travel it took the car 5 hours.
To find your answer, we would simply divide 180 by 5 to see how many miles she drove per hour.
Solve:
180/5 = 36
This means that the rate of travel of the car is 36 mph.
What is the exponential form of the logarithmic equation?
4=log0.7(0.2401)
The exponential form of the logarithmic equation 4 = \(log_{0.7} (0.2401)\) is
0.7⁴ = 0.2401
4 = \(log_{0.7} (0.2401)\)
The exponential form of the logarithmic equation can be represented below:
Using logarithm rules,
logₐ b = x
Can be represented in exponential form as follows:
aˣ = b
Therefore,
4 = \(log_{0.7} (0.2401)\)
using the logarithm rule described above can be represented in exponential form as follows:
0.7⁴ = 0.2401
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Answer:
0.7⁴ = 0.2401
Step-by-step explanation:
Multiply (1/3) (1/5)
The product between the two fractions is equal to 1/15.
How to take the product between the two fractions?When we want to take the product between two fractions, we need to multiply the numerators and the denominators together.
This means that if we have two fractions (a/b) and (c/d), the product between them is written as:
(a/b)*(c/d) = (a*c/b*d)
In this case we have:
(1/3)*(1/5)
Using the above rule we can solve the product as:
(1/3)*(1/5) = (1*1)/(3*5)
(1/3)*(1/5) = 1/15
That is the solution for the product.
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sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions. 1 ≤ r < 5, 3 4 ≤ ≤ 7 4
The region in the plane consists of points whose polar coordinates satisfy the given conditions, and it is enclosed by the circles r = 1 and r = 5, and the rays θ = 3π/4 and θ = 7π/4.
A more detailed explanation of the answer.
To sketch the region in the plane, follow these steps:
1. Identify the polar coordinate conditions: 1 ≤ r < 5, 3π/4 ≤ θ ≤ 7π/4.
2. Plot the radial boundaries: r = 1 and r = 5. These are circles with center at the origin (0, 0) and radii of 1 and 5, respectively.
3. Identify the angular boundaries: θ = 3π/4 and θ = 7π/4. These are rays extending from the origin at angles of 3π/4 (135°) and 7π/4 (315°), respectively.
4. Sketch the region enclosed by the radial and angular boundaries. The region will be a sector of an annulus (ring-like shape) bounded by the two circles and the two rays.
The region in the plane consists of points whose polar coordinates satisfy the given conditions, and it is enclosed by the circles r = 1 and r = 5, and the rays θ = 3π/4 and θ = 7π/4.
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At Grocery Mart, strawberries cost $2.99 for 2 pounds and at Baldwin Hills Market, strawberries cost $3.99 for 3 pounds.
a) What is the unit price of strawberries at Baldwin Hills Market? If necessary, round to the nearest penny.
factorize:
a)x³-3x²+2x-6-xy+3y
b)mn-mx-n+x
\(\displaystyle \Large \boldsymbol{} a) \ \underline{x^2-3x}+\underline{2x-6}-\underline{xy+3y}=\\\\\\x(x-3)+2(x-3)-y(x-3)=\boxed{(x-3)(x-y+2)} \\\\\\b) \ mn-mx-n+x=m(n-x)-(n-x) =\boxed{ (m-1)(n-x)}\)
Find the Taylor polynomial T3(x)for the function f centered at the number a.
f(x)=1/x a=4
The Taylor polynomial T3(x) for the function f centered at the number a is expressed with the equation:
T₃(x) = (1/4) + (-1/16)(x - 4) + (1/32)(x - 4)² + (-3/128)(x - 4)³
How to determine the Taylor polynomialFrom the information given, we have that;
f is the functiona is the centerIf a = 4, we have;
To find the Taylor polynomial T₃(x) for the function f(x) = 1/x centered at a = 4,
x = a = 4:
f(4) = 1/4
The first derivatives
f'(x) = -1/x²
f'(4) = -1/(4²)
Find the square value, we get;
f'(4) = -1/16
The second derivative is expressed as;
f''(x) = 2/x³
f''(4) = 2/(4³)
Find the cube value
f''(4) = 2/64
f''(4) = 1/32
For the third derivative, we get;
f'''(x) = -6/x⁴
f'''(4) = -6/(4⁴)
Find the quadruple
f'''(4) = -6/256
f'''(4) = -3/128
The Taylor polynomial T₃(x) centered at a = 4 is expressed as;
T₃(x) = (1/4) + (-1/16) (x - 4) + (1/32 )(x - 4)² + (-3/128) (x - 4)³
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Directions:Use the quotient rule to simplify the following monomials.
ANYONE PLEASE HELP ME I REALLY NEED THE ANSWER RIGHT NOW BECAUSE I HAVE TO PASS THIS LATER I HOPE Y'ALL CAN HELP ME:(
I'LL MARK YOU AS THE BRAINLIEST!
SOMEONE HELP ME PLEASE
Answer:
26/35
Step-by-step explanation:
So we gotta add it together, so 1/7+0.6 or 1/7+3/5. Common denominator is 35, so the answer is 26/35
Which is a recursive formula for the sequence 99. 4, 0, –99. 4, –198. 8, where f(1) = 99. 4? f(n 1) = f(n) 99. 4, n ≥ 1 f(n 1) = f(n) – 99. 4, n ≥ 1 f(n 1) = 99. 4f(n), n ≥ 1 f(n 1) = –99. 4f(n), n ≥ 1
A recursive formula for the sequence is: f(n+1) = f(n)-99.4, n ≥ 1
Consider the given sequence.
99.4, 0, -99.4, -198.8, . . .
We can observe that each next term of the sequence is decreased by -99.4
i.e., f(0) = 99.4
f(1) = f(0) - 99.4
f(1) = 99.4 - 99.4
f(1) = 0
f(2) = f(1) - 99.4
f(2) = 0 - 99.4
f(2) = -99.4
From these calculations we can say that the n-th term would be,
f(n) = f(n - 1) - 99.4
Therefore, recursive formula: f(n+1) = f(n) - 99.4
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Please help! Me and my bestie are both stuck on this. . .
Use table to solve the inequality 2x<2
Answer:
x>1
Step-by-step explanation:
Answer:
-2, 0, 2, 4, 6 these are the answers for the boxes and they are in order. solution x<1
Step-by-step explanation:
if you look at the box you will see that it says x and 2x at the bottom. The x at the top is the same as the one at the bottom. So they want you to multiply the number in the row of x by the number below x I hope this helps
38
Is that a perfect square
Answer:
yea, its a perfect square
Step-by-step explanation:
The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards. A graph titled Money Left after Purchase. The x-axis shows packs of cards bought, numbered 1 to 9, and the y-axis shows the money left (in dollars), numbered 2 to 18. Blue diamonds appear at points (1, 16), (2, 12), (3, 8), (4, 4), (5, 0). How much money will she have if she doesn't buy any packs of baseball cards? $16 $18 $19 $20
Answer:
its D
Step-by-step explanation:
The money left will be $20
What is a slope ?The slope is used to measure the inclination of a straight line regarding abscissa axis ( x axis) .
Given : x=0 ( no pack is bought)
to find : y = ? ( money left )
slope of a straight line = y2-y1 / x2-x1
Let us take two coordinates from the given ones (1,16) and (5,0)
slope = 0 -16 / 5-1 = -16 /4 = -4
since , slope is same for any coordinate for the whole line
to find y , using coordinate (1,16) and (0,y)
-4 = y-16 / 0-1
4 = y- 16
y = 20
answer is option d) $20 will be left if she doesn't buy any pack
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Seamus shares 15 kilograms of watermelon equally among himself and 4 friends. Each person leaves behind 1.3 kilograms of watermelon.
How many kilograms did each person eat?
______ kilogram(s)
Each person ate 8.5 kilograms of watermelon.
To find out how many kilograms of watermelon each person ate, we need to subtract the amount of watermelon each person left behind from the total amount of watermelon that was initially shared.
The total amount of watermelon shared is 15 kilograms, and there are 5 people in total (Seamus and his 4 friends).
Each person left behind 1.3 kilograms of watermelon, so we can calculate the total amount left behind by multiplying 1.3 kilograms by the number of people, which is:
1.3 kilograms/person * 5 people = 6.5 kilograms
Now, to determine the amount of watermelon each person ate, we subtract the total amount left behind from the total amount shared:
Total amount shared - Total amount left behind = Amount each person ate
15 kilograms - 6.5 kilograms = 8.5 kilograms
Therefore, each person ate 8.5 kilograms of watermelon.
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What number would go in the blank? 4 x 6 = 6 x ___
6
4
10
Answer:
4
Step-by-step explanation:
4 x 6 = 6 x 4
PLEASE HELP ME ASAP!!!
TY :D
Answer:
10 dimes 50 pennies 5x10=50
There's a line that includes point (1, 10 ) with a slope of 1 ,write it in slope intercept form
Answer:
y= x-9
Step-by-step explanation:
Plug the values into the slope intercept equation:
y-y1 = m (x - x1)
where:
m is the slope
y1 is the y value from the given point
x1 is the x value from the given point
what method was probably used to construct the pyramids
Evidence points to the Egyptians using gypsum mortar – also known as plaster of Paris – in constructing pyramids during the Pharaonic period. The first Egyptologist to identify this method was Alfred Lucas in 1926.
very easy and you get 10 points
Answer and Step-by-step explanation:
The answer to this question is 21.
We can easily find the height of the triangle by going to the bottom point of the triangle and counting up each line.
The height is equal to 6.
When we create this line for the height, it sections off two triangle, one with a side of 4 and the other with a side of 3.
To find the area of a triangle, we must Multiply the side lengths together, then Divide by 2.
Triangle 1
4 × 6 = 24
24 ÷ 2 = 12
Triangle 2
3 × 6 = 18
18 ÷ 2 = 9
Now, we add together the areas to get the area of the full triangle.
12 + 9 = 21.
The area of the triangle is 21 \(cm^2\).
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Change to decimal form 5.125
Answer:
Already in decimal form.
Step-by-step explanation:
5.125 = 5.125
Last question!!! please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
======================================================
Explanation:
Draw out a right triangle as you see below.
Let's use the pythagorean theorem to find 'a'
\(a^2 + b^2 = c^2\\\\a = \sqrt{c^2 - b^2}\\\\a = \sqrt{(9.9)^2 - (7.3)^2}\\\\a = \sqrt{44.72}\\\\a \approx 6.6873\\\\a \approx 6.7\\\\\)