Answer:
A
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
A y = \(\frac{1}{2}\) x+ 2 ← has slope m = \(\frac{1}{2}\)
B y = - \(\frac{1}{2}\) x + 7 ← has slope m = - \(\frac{1}{2}\)
C y = 2x + 4 ← has slope m = 2
D y = \(\frac{1}{2}\) x + \(\frac{5}{4}\) ← has slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes
• the product of the slopes of perpendicular lines = - 1
- \(\frac{1}{2}\) × 2 = - 1
then lines B and C are perpendicular
Pat was in a fishing competition at
Lake Pisces. He caught some bass
and some trout. Each bass
weighed 3 pounds, and each trout
weighed 1 pound. Pat caught a
total of 30 pounds of fish.
He got 5 points in the
Solve this system to find out how many bass and trout pat caught
competition for each bass, but
since trout are endangered in
Lake Pisces, he lost 1 point for
each trout. Pat scored a total of
42 points.
Question 1
The number of bass are 9 and the number of trout are 3.
Given that, Pat was in a fishing competition at Lake Pisces. He caught some bass and some trout.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be the number of bass and y be the number of trout.
Each bass weighed 3 pounds, and each trout weighed 1 pound. Pat caught a total of 30 pounds of fish.
So, 3x+y=30 --------(I)
Since trout are endangered in Lake Pisces, he lost 1 point for each trout. Pat scored a total of 42 points.
5x-y=42 --------(II)
Use elimination method
Add equation (I) and (II), we get
3x+y+5x-y=30+42
⇒ 8x=72
⇒ x=9
Put x=9 in equation (I), we get
3(9)+y=30
⇒ y=3
Hence, the number of bass are 9 and the number of trout are 3.
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Please Help Me, I need an answer ASAP.
The measure of < BAP in the figure of the circle is 30 degrees
How to find < BAP< ACB covers same angle as < APB
therefore
< ACB = < BAP = 120
complete the line PB to form another radius. since radius of a circle are equal, an isosceles triangle is created
Isosceles triangle has a unique property of 2 equal equal sides and equal base angles. one of the angles of the isosceles triangle is < BAP
solving with the new triangle APB
< BAP = < PBA (base angles of isosceles triangle)
< BAP + < PBA + 120 = 180
2 < BAP = 180 - 120
2 < BAP = 60
< BAP = 30 degrees
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Variances indicate a.the cause of the variance. b.who is responsible for the variance. c.when the variance should be investigated. d.that actual performance is not going according to plan.
Option c. is the correct answer.
When the variance should be investigated.
A variance is the difference between a result's actual value and what was anticipated or budgeted. Variances can be either positive or negative. When the actual is higher than the projected or budgeted amount, a favorable variance occurs. The variance is unfavorable when actuals fall short of the amounts allocated in the budget. A variance therefore shows whether or not the actual performance is proceeding as expected.
While,
Option a. is inaccurate. As, the cause of the variance can vary, depending on factors like changes in delivery costs, market costs, production techniques, the use of subpar materials, seasonal factors, or even a simple mistake. Therefore, additional research and subsequent actions are needed to identify the cause of the variance. The cause of a variance cannot be identified by the variance itself.
Option b. is inaccurate. A variance only shows the discrepancy between the anticipated and actual amounts. It makes no mention of who is to blame for the deviation.
Option d. is inaccurate. After variances are identified, one of the most important steps is to investigate them. When actual performances significantly deviate from anticipated outcomes, variations are typically investigated.
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Can I get someones help anyone?
Answer:
1: 180-degree Rotation.
2: Reflection across the X-Axis
3: Translation 3 units left, and 3 units up.
Step-by-step explanation:
Answer:
180-degree Rotation.
Reflection across the X-Axis
Translation 3 units left, and 3 units up.
Do great on your text!!! :3
DETAILS PREVIOUS ANSWERS Which one of the following statements is TRUE O The series M8 sin?n is divergent by the Integral Test n+1 n=0 oo O The series į (-1)" is convergent by the Integral Test n2 n=1 00 00 O If an 1 f(n), for all n = 0 and dx is divergent, then an is convergent f(x) n=0 00 O If an = f(n), for all n 2 0 and an converges, then 1 f(x) dx converges n=1 00 00 O If an = f(n), for all n 2 0, then ans * SR* f(x) dx n=0 x Submit Answer
The correct statements are:
a. The series ∑ sin(n)/(n+1) is divergent by the Integral Test.
d. If an = f(n) for all n ≥ 0 and ∑ an converges, then ∫ f(x) dx converges from n=1 to infinity.
a. The series ∑ sin(n)/(n+1) from n=0 to infinity:
In this case, f(n) = sin(n)/(n+1), which is positive, continuous, and decreasing for n ≥ 1. Therefore, the statement is true, and the series is divergent.
b. The series ∑ (-1)ⁿ / n² from n=1 to infinity:
Similarly, using the integral test, we can compare the series to the integral ∫ (-1)ˣ / x² dx.
As, this integral does not converge since the absolute value of the integrand does not converge.
Therefore, the statement is false, and the series is not convergent.
c. If ∑ a(n) converges and an = f(n) for all n ≥ 0, then ∫ f(x) dx converges from n=0 to infinity:
This statement is false.
d. If an = f(n) for all n ≥ 0 and ∑ an converges, then ∫ f(x) dx converges from n=1 to infinity:
This statement is true. If an = f(n) for all n ≥ 0 and the series ∑ an converges, then by the integral test, the integral ∫ f(x) dx from n=1 to infinity will also converge.
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I got -3(23q+15) but it says its wrong
Answer:
-72q - 48
Step-by-step explanation:
Use didtributive property to multiply -9 by 5 + 9q-3 - 45 - 72qSubtract 45 from -3 to get -48-48 - 72qThe you have to switch the equation around to because the variable has to be on the left.Answer:
-75q - 45
Step-by-step explanation:
Given expression,
→ -3q - 9(5 + 8q)
Simplifying the expression,
→ -3q - 9(5 + 8q)
→ -3q + (-9 × 5) + (-9 × 8q)
→ -3q - 45 - 72q
→ -75q - 45
Hence, answer is -75q - 45.
this is the last question somebody help.
NEED ANSWERS QUICK! Will give BRAINLIEST!
Answer:
2893.14/321.46=9
Step-by-step explanation:
in 9 months he will run out of money
PLEASE ELXPLAIN IM GIVING 30 POINTS
John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs to maintain a ratio of pumpkin to green beans of 4 to 2. If he wants to use a total of 114 cans, how many cans of green beans should he use?
A.
21 cans
B.
38 cans
C.
6 cans
D.
36 cans
Answer:
John used 76 cans of pumpkin and (76/2) = 38 cans of green beans.
So the answer is:
B. 38 cans.
The ratio of pumpkin to green beans is 4 to 2, which can be simplified to 2 to 1. This means that for every 2 cans of pumpkin, John needs 1 can of green beans.
Let x be the number of cans of pumpkin used. Then the number of cans of green beans used is x/2.
The total number of cans used is x + x/2 = (3/2)x.
We know that the total number of cans used is 114, so:
(3/2)x = 114
Multiplying both sides by 2/3:
x = 76
Therefore, John used 76 cans of pumpkin and (76/2) = 38 cans of green beans.
So the answer is B. 38 cans.
Find the area of the largest rectangle that can be inscribed in a semi-circle of radius 4.
Answer: 50.24
Step-by-step explanation: 4x4x3.14 / radius x radius x pi/ 3.14
Find the area of the following color regions?
Answer:
72 m²
Step-by-step explanation:
12 m × 8 m = 96 m²
(12 × 4) ÷ 2 = 24 m²
96 m² - 24 m²
72 m²
The wall around a playground is 410 m.if one wall along the length is 80 m what is the length of the wall along the breadth what is the area of playground.
The length of the wall = 125m
The area of the Playground = 10000\(m^{2}\)
What is geometry?
A branch of mathematics that broadly deals with the measurement, properties, and connections of points, lines, angles, surfaces, and solids: the investigation of qualities of given elements that hold true even after being subjected to predetermined transformations.
Given data:
Perimeter of the playground=410m
length of the wall = 80m
The playground's width can be calculated as follows if its length is 80 meters:
(Formula of Perimeter of a rectangle)
P=2(L+B)
410=2(80 +B)
410= 160 + 2B
2B= 410-160
2B= 250
B= 125 m
This results in a 125 m length for the playground.
The area of playground.
Area = Length x Width
Area = 80 x 125
area = 10000\(m^{2}\)
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Two fractions equivalent to each fraction of 6/18
Answer:
6/18=1/3=2/6=3/9=4/12=5/15
If A is the angle between the vectors u =(5, 0,82 ) and v = (0,0,1). What is the value of cosine of A? (Round off the answer upto 2 decimal places) Question 2 If A and B are matrix: A-la a2] = rai аз as bı [b1 b2 B= [bz b4] If a1 = 4, a2=7, a3 = 8, 24 = 4, also, b1 = 5, b2 = -1, b3 = 3, b4 = 0, then find inner product of (A, B)? (Round off the answer upto 2 decimal places) Question 1 u = (2+26 1. 1 + 88 1,0). Find norm of uie. I u 11? (Round off the answer upto 2 decimal places)
The analysis of the matrices and vectors components indicates;
a) coa(A) = 1
b) <A, B> = 37
c) ||u|| ≈ 91.79
What is a vector?A vector is an mathematical object has magnitude and direction. Vector quantities can be represented by an ordered list of numbers, representing the components of the vector.
a) The cosine of the angle between the vectors, can be obtained from the dot product formula as follows;
cos(A) = (5)·(0) + (0)·(0) + (82)·(1) = 82
The magnitudes of the vectors are; ||u|| = √(5² + 0² + 82²) = 82
||v|| = √(0² + 0² + 1²) = 1
cos(A) = (u·v)/(||u||·||v||) = 82/82 = 1
cos(A) = 1
b) The inner product of the matrices; \(A=\begin{bmatrix} 4&7 \\ 8& 4 \\\end{bmatrix}\) and \(B = \begin{bmatrix}5 &-1 \\ 3&0 \\\end{bmatrix}\) can be found from the sum of the product of the corresponding entries of the matrices as follows;
<A, B> = 4 × 5 + 7 × (-1) + 8 × 3 + 4 × 0 = 37
The inner <A, B> = 37
c) The norm of a vector is defined as the square root of the sum of the squares of the components of the vector, therefore;
||u|| = √(|2 + 26i|² + |1 + 88i|² + |0|²)
|2 + 26i| = √(2² + 26²) = √(680)
|1 + 88i| = √(1² + 88²) = √(7745)
||u|| = √((√(680))² + (√(7745))² + (0)²) = √(8425) ≈ 91.79
The norm of the vector is ||u|| ≈ 91.79
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which measure of variability is the most direct way to measure how dispersed a set of scores is?
The most direct way to measure how dispersed a set of scores is, is by using the range. The range is calculated by subtracting the lowest score from the highest score in the dataset, which gives a quick and easy measure of the spread of the scores.
However, the range can be influenced by extreme scores and may not provide a complete picture of the variability. Other measures of variability, such as the standard deviation and variance, take into account the variability of all scores in the dataset and provide a more robust measure of variability.
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The angle measures of a triangle are shown in the diagram.
What is the value of x?
The angle measures of a triangle are shown in the diagram.
What is the value of x?
The value of x is 44.
What do you mean by triangle?The most basic type of triangle is an equilateral triangle, which has three sides of equal length and three equal angles. Another common type of triangle is the right triangle, which has one right angle (90 degrees) and two other angles that add up to 90 degrees. Scalene triangles have no sides or angles of equal length, while isosceles triangles have at least two sides of equal length.
Triangles have many interesting and useful properties that can be used in geometry and other areas of mathematics. For example, the Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. This theorem can be used to find the length of a missing side in a right triangle.
Triangles also have an important relationship with circles. The circumcenter of a triangle is the center of the circle that passes through all three vertices of the triangle, while the incenter of a triangle is the center of the circle that is tangent to each of the triangle's sides.
From the triangle angle sum theorem, we know that the sum of all angles in a triangle is 180 degrees. So for triangle ABC, we have:
angle ABC + angle BCA + angle CAD = 180
50 + (3x - 10) + 2x = 180
Combining like terms and solving for x, we get:
5x = 220
Therefore, x = 44.
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What is the slope of the line shown in the graph?
1) -1
2) -2
3) -1/2
4) 2
What is the equation in standard form of the line that passes through the point (4, -3) and has a
slope of -1
Answer:
y=-1x+1
Step-by-step explanation:
There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?
Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. If c represents the cost of Sally’s groceries, which expression represents Sally’s grocery bill?
HELPPPPPMEEEEEEEEEEEEE
Answer:
20
Step-by-step explanation:
Movies went on sale for $4 off the original price . Jacob bought 3 movies . He paid $24 . What was the original price of a movie?
Complete the sentences to show how to write and solve an equation to answer this question
Define a variable. Let x=_______
The equation that models the problem is ______
To solve the equation first _____ next _________.
The required with the help of the equation model original price of a movie was $12.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Define a variable. Let x = the original price of a movie.
The equation that models the problem is 3(x - 4) = 24. This equation represents the total cost Jacob paid after taking the discount.
To solve the equation, first distribute the 3 on the left side of the equation: 3x - 12 = 24.
Next, isolate the variable by adding 12 to both sides of the equation: 3x = 36.
Finally, solve for x by dividing both sides by 3: x = 12.
Therefore, the original price of a movie was $12.
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Agatha drives 73 1/2 miles through two towns in 2 1/3 hours. What is her average speed in miles per hour?
Answer:
31 1/2
Step-by-step explanation:
average speed = distance/time
average speed = (73 1/2 miles)/(2 1/3 hours)
= (147/2 miles)/(7/3 hours)
= 147/2 * 3/7 miles/hour
= 441/14 miles/hour
= 31 1/2 miles/hour
5 + (-2)=
A. -3
B. 3
C. -2
D. -5
E. 0
Answer:
it is b because I did the math and got that
Answer:
3 or B
Step-by-step explanation:
The positive becomes a negeative turning your problem into 5 - 2 = 3
Is 8/10 equal to 21/25
Answer:
21/25 is greater than 8/10. so no they arent equal to each other
Answer:
No 8/10 is 0.8
21/25 is 0.84
there Is difference of 0.04
Match the description to the graph:
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help pls help. I will mark you as Brainly if you help me, also I will also very thank to u.
Answer:
1.)B 2.)C 3.)D
Step-by-step explanation:
sanaakantulong please give me brainlist
#carry on schoolAnswer:
The first distance is b. The second distance is c. And the last distance is d.
Step-by-step explanation:
For the first one it is b because she does not stop walking from one place to the other and same with d. But c is different because she did not get to her destination and ran back home so she did not complete the trip.
who wants to be friends? and what is the square root of a decimal
Answer:
Mee
Step-by-step explanation:
What is the length of TE?
Answer: 20 units
Step-by-step explanation: Set the two half diagonal values equal to each other. When you solve for x, the value is 3. Substitute it back in and the half diagonals equal 10. Multiply it by two and the dial length is 20. You can use this length for TE because it is a diagonal. Hope this helps!
Given the graph below, determine the values for a and b in the equation y=blog3(x+a). If a value is a non-integer then type it as a reduced fraction.
The values of b and a for the logarithmic function in this problem are given as follows:
a = -4.b = -2.1.How to define the logarithmic function?The logarithmic function in the context of this problem has the format given as follows:
\(y = b\log_3{x + a}\)
The vertical asymptote is at x = -4, hence:
\(y = b\log_3{x - 4}\)
When x = 5, y = -1, hence the parameter b is obtained as follows:
\(-1 = b\log_3{5 - 4}\)
0.477b = -1
b = -1/0.477
b = -2.1.
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Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)
Answer:
(f - g)(x) = x² - 3x - 70
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x² - 2x - 63
g(x) = x + 7
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = x² - 2x - 63 - (x + 7)Distribute -1: (f - g)(x) = x² - 2x - 63 - x - 7Combine like terms (x): (f - g)(x) = x² - 3x - 63 - 7Combine like terms (Z): (f - g)(x) = x² - 3x - 70