For the first graph, slope = 1/5.
For the second graph, slope = -1/2.
For the third graph, slope = 2.
For the fourth graph, slope = 1.42.
What is the slope of the line?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)
For the first graph, the coordinates will be (-15, 0) and (0, 3)
Slope = 3 - 0/0-(-15)
= 3/15
Slope = 1/5
For the second graph, the coordinates will be (0, 5) and (10, 0)
Slope = 0 - 5/10- 0
= -5/10
Slope = -1/2
For the third graph, the coordinates will be (2.5, 0) and (0, -5)
Slope = -5-0/0 - 2.5
= -5/-2.5
Slope = 2
For the fourth graph, the coordinates will be (-2.8, 0) and (0, 4)
Slope = 4 - 0/0 - (-2.8)
= 4/2.8
Slope = 1.42
Hence,
For the first graph, slope = 1/5.
For the second graph, slope = -1/2.
For the third graph, slope = 2.
For the fourth graph, slope = 1.42.
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I need help with this question please. The graph below is just option A. Also, I have options to choose from.
From geogebra
Answer Letter A
A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
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HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:i think its the second one
Step-by-step explanation:
What is 2/5 + 1/4+7/10
Answer:
1 7/20
Step-by-step explanation:
Answer:
27/20 or 1 7/20
Step-by-step explanation:
1) make the denominators the same
2/5 multiplied by 4 on top and bottom =8/201/4 multiply by 5 = 5/207/10 multiply by 2 = 14/202) add the numerators
8+5+14=273) the denominator stays the same
27/204) simplify it to 1 7/20
which polynomial identity can be proved using the polynomial division given below? \(a + b \sqrt{ {a}^{3 } + b {}^{3} } \)answer choices:A. \( {a}^{3} + b {}^{3} = (a + b)(a {}^{2} - 2ab + b {}^{2} )\)B. \(a {}^{3} + b {}^{3} = (a + b)(a {}^{2} + ab + b {}^{2} )\)C. \(a {}^{3} + b {}^{3} = (a + b)(a {}^{2} - ab + b {}^{2} )\)D. \(a {}^{3} + b {}^{3} = (a + b)(a {}^{2} + 2ab + b {}^{2} )\)
a+ b / √ (a^3 + b^3)
then
a^3 + b^3 = (a + b)•( a^2 - ab + b^2)
Then answer is, OPTION C)
Simplify the expression.
4(-8x + 5) – (-33x – 26) = ______
Answer:
14+33x
Step-by-step explanation:
you have to break it up
4x(-3)+33x+26 MILTIPLY
-12+33x+26 CALCULATE
Solution is 14+33x
I HOPE THIS HELPS YOU
In a survey of 130 randomly selected students at a school, 30% of them said that math was their favorite subject. If there are 850 students in the school, how many students would choose math as their favorite subject?
Answer:
225
Step-by-step explanation:
Emma rents a car from a company that rents cars by the hour. She has to pay an initial
fee of $95, and then they charge her $9 per hour. She has $300 available to spend on
car rental. What is the greatest number of hours for which she can rent the car? (The car
cannot be rented for part of an hour)
Answer:
22 hours
Step-by-step explanation:
if you take 300-95 you get 205 from there, you take 205 and divide by nine to see how much money Emma has to rent the car. you would get 22.7 repeating. therefore, she can rent a car for 22 hours.
Jenny has finished 15 of the 20 lessons in her piano book liam has finished the same percent of lessons from his piano book hi book contains 40 lessons how many lessons has liam fineshed
Answer:
Liam has finished 30 of his lessons
Step-by-step explanation:
Jenny has completed 15 out of 20 lessons, which means that she has completed 75% of her lessons. If Liam has completed the same percentage of lessons, then he has completed 30 of his lessons. 40(.75) = 30.
6x + 3x =
combine like terms
Answer:
9x
Step-by-step explanation:
6x + 3x
6 + 3 = 9
add the x and you get 9x
i hope this helps
Answer:
6x + 3x = 9x
Step-by-step explanation:
6 and 3 have the same coefficient meaning you can combine them and add them to get 9x.
Please help asap...its not middle school math its high school math
Simplifying the above function
\(y=-16(t^2-25\text{)}\)The axis of symmetry will be obtained when y = 0
\(\begin{gathered} 0=-16(t^2-25\text{)} \\ \text{Dividing both sides by -16} \\ t^2\text{ - 25 = 0} \end{gathered}\)\(\begin{gathered} t^2\text{ = 25} \\ t\text{ =}\sqrt[\square]{25} \\ \\ t\text{ =5} \end{gathered}\)
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
What is the probability that the mean amount of cereal ¯
in 5 randomly selected boxes is at most 9.65?
The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.
What is the probability?The Central limit theorem is used to find the probability
Data given:
sample size = 5.
mean, μ = 9.70 ounces
standard deviation, σ = 0.03 ounce.
To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.
z = (x - μ) / (σ / √n)wherex is the sample mean,
μ is the population mean,
σ is the population standard deviation, and
n is the sample size.
For the sample mean of 9.65 ounces in 5 boxes:
z = (9.65 - 9.70) / (0.03 / √5)
z ≈ -0.05 / (0.03 / √5)
Using a calculator, we find that the probability is approximately 0.4801.
Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.
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The manager of a grocery store wants to determine what proportion of people who enter
his store are his regular customers. What size sample should he take so that at 95%
confidence the margin of error will not be more than 0.1?
answer:
74
Step-by-step explanation:
The sample size for the given confidence interval is 96.
What is a confidence interval?A range of estimates for an unknown parameter is called a confidence interval (CI). A confidence level calculates a confidence interval; The most common confidence level is 95 percent. The confidence level is the percentage of corresponding CIs that contains the actual value of the parameter over time.
Given confidence of margin is at 95%
E = 0.1 = margin of error
95% confidence interval of Z = 1.96
sample size = n, which is given by
n = (Z/E)²(p)(1 - p)
n = (1.96/0.1)²(0.5)(0.5)
n = 96.04 = 96 approx
Hence, the sample size is 96.
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What is the value of S4 for
0 554
O
64
O
(J1
14
O 516
05/0
O
56
n-1
24 (1)
n=1
?
Answer: It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.
Step-by-step explanation:
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Man I gotta get smarter I wish my kindergarten brain was in my 5th grade brain :,(
Answer:
A
Step-by-step explanation:
only in the square are all angles right angles (90 degrees). in the rhombus no angle is a right angle.
so, A is already correct (for one shape but not both).
B is true for both shapes (all sides are equally long).
C is true for both shapes, as also 4 equal angles represent 2 pairs of equal angles.
D is true for both shapes. both have 2 pairs of parallel sides/lines.
Which function has a greater maximum?
�
(
�
)
=
−
2
(
�
+
4
)
2
+
1
f(x)=−2(x+4)
2
+1f, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, plus, 4, right parenthesis, squared, plus, 1
A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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Guys i actually need help
Answer:
Rotation
Step-by-step explanation:
Answer:
That is just rotation.
Step-by-step explanation:
It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.
It also not the others because if you were to put reflection that would it would the opposite.
A crate has a length of 19 1/3 feet, a width of 7 2/3 feet, and a height of 7 5/6 feet. What is the volume?
Answer:
931 10/54
Step-by-step explanation:
First you multiply 19 x 7 x 7 to get 931, then you multiply 1/3 x 2/3 x 5/6 to get 10/54. Finally you put them together to get 931 10/54
what does "and" mean in maths?
Answer:
and mean another questions
Answer:
add
Step-by-step explanation:
for example two and two makes
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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Find the perimeter of the figure if the following
is true:
a = x2
b = 4x + 8
c = 2x²
d = x
Match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.
The slope (m) and y-intercept (b) with the equation of the line in slope-intercept form are given as: m = 2 and b = 5 is y = 2x + 5; m = 3 and b = 5 is y = 3x + 5; m = 5 and b = 4 is y = 5x + 4.
How to Write the Equation of a Line in Slope-intercept Form?If m represents the slope of a line and b represents its y-intercept, the equation of the line in slope-intercept form is written as: y = mx + b.
Where m = 2 and b = 5, the equation of the line would be expressed as: y = 2x + 5.
Where m = 3 and b = 5, the equation of the line would be expressed as: y = 3x + 5.
Where m = 5 and b = 4, the equation of the line would be expressed as: y = 5x + 4.
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the product of two numbers is 1576 if one is 63,what will the other number be?
Answer: 1513.
Step-by-step explanation:
This is just another way to write subtraction! So just write it as a subtraction problem.
1576-63 = 1513 ^^
What is true about any point on a coordinate plane with a negative
x-coordinate and a y-coordinate that is not zero?
A. It lies in the top half of the coordinate plane.
B. It lies in Quadrant I or IV.
C. It lies to the right of the y-axis.
D. It lies in Quadrant II or III.
Answer:
the answer is B
Step-by-step explanation:
i guessed and got it right
Answer: D. It lies in Quadrant II or III
Step-by-step explanation: It asks for any point on a coordinate plane with a NEGATIVE X COORDINATE.
With this we can use this image (Shown below) to help us find out the answer... Quadrants II and III both have a negative X-coordinate
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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Parametric Functions
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
The three sides of base of triangular prism are 6cm,5cm,x cm respectively.If the length of prism is 20 and its lateral surface area is 360 square cm find the value of x
Answer: 7
Step-by-step explanation:
We know that the base sides of the triangular prism are 6cm, 5cm, and
\(x\) cm. We also know that the length of the prism is 20.
To calculate the lateral surface area of the triangular prism, we need to use the following equation:
\((a + b + c)\) x \(length\)
So we can input our values, to get this:
\((6 + 5 + x) 20 = 360\)
Then we solve the equation by the following steps:
\(= > 6+5+x = \frac{360}{20} = 18\\= > 11 + x = 18\\= > x = 7\)
Hope this helps, if you have any further inquiries about this, please reply back. :)
Type 4 points found on the circumference of the following equation. Exact points only, no approximations.
(x-3)^2 +(y+2)^2+49
The points on the circumference are (3, 5), (3, -9), (8, -2 + √24) and (8, -2 - √24))
How to determine the points on the circumference of the circle?The circle equation is given as:
(x-3)^2 +(y+2)^2= 49
Rewrite as:
(y+2)^2= 49 -(x-3)^2
Take the square root of both sides
y+2= ±√[49 -(x-3)^2]
Subtract 2 from both sides
y = -2 ± √[49 -(x-3)^2]
Next, we determine the points
Set x = 3
y = -2 ± √[49 -(3-3)^2]
Evaluate
y = -2 ± 7
Solve
y = 5 and y = -9
So, we have
(x, y) = (3, 5) and (3, -9)
Set x = 8
y = -2 ± √[49 -(8-3)^2]
Evaluate
y = -2 ± √24
Solve
y = -2 - √24 and y = -2 + √24
So, we have
(x, y) = (8, -2 + √24) and (8, -2 - √24)
Hence, the points on the circumference are (3, 5), (3, -9), (8, -2 + √24) and (8, -2 - √24)
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(Score for Question 1: ___ of 10 points)
1. There are 8 ounces in 1 cup and 16 cups in 1 gallon.
(a) Diane brought 4.5 gallons of water to a campout. How many ounces of water did she bring? Show your work.
(b) Diane started a hike with 24 ounces of water in her backpack. What fraction of a gallon of water did she start the hike with? Show your work.
Answer:
The total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
What is cost price per ounce?The cost price per ounce is the amount of money required to buy one ounce of a brand or goods.
To find the cost price per ounce, divide the total amount of cost of the goods to the total number of goods.
1. There are 8 ounces in 1 cup and 16 cups in 1 gallon. Diane brought 4.5 gallons of water to a campout. Let x ounces of water, did she bring. Thus,
\(x=4.5\times16\times8\\x=576\rm\; ounces\)
Diane started a hike with 24 ounces of water in her backpack. The fraction of gallons in 24 ounces is,
\(n=\dfrac{24}{8\times16}\\n=\dfrac{3}{16}\)
Thus, the total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
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