Answer:
p=-2
Step-by-step explanation:
Start off by adding 3 to both sides:
-6p-3=9
+3 +3
Now you have this:
-6p=12
Now divide both sides by -6
-6p/-6=12/-6
p=-2
I hope this helps, and have a great day! <3 :)
Answer
-6p - 3 = 9
+ 3 + 3
-6p = 12
6 6
p = -2
Help me plzzzz!!!!
Graph: y-3=1/2(x+2)
Answer:
Step-by-step explanation:
First you need to find the Slope Intercept form or find the point and slope.
The point is: (-2,3)
and the slope is: 1/2
y - 3 = 1/2(x + 2)
y - 3 = 1/2x + 1
y = 1/2x + 1 + 3
y = 1/2x + 4
Slope intercept form: y = 1/2x + 4
Graph is show below ---
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V
Robert models the volume of a popcorn box as a right rectangular prism. Its dimensions are
2
2 in by
2
1
2
2
2
1
in by
7
7 in. How many cubic inches of popcorn would it hold when it is full? Round your answer to the nearest tenth if necessary.
The popcorn box can hold 35 cubic inches of popcorn when it is full.
How to calculate the volume of the popcorn box?To find the volume of the popcorn box modeled as a right rectangular prism with dimensions 2 inches by 2.5 inches by 7 inches, you need to multiply the three dimensions together:
Volume = Length × Width × Height
In this case, the dimensions are:
Length = 2 inches; Width = 2.5 inches ; Height = 7 inches
Now, multiply the dimensions:
Volume = 2 × 2.5 × 7
Volume = 5 × 7
Volume = 35 cubic inches
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There are 10 number cards, numbered 1 - 10, what is the probability of randomly selecting an even number from the cards? Determine the likelihood of this event.
The likelihood of the event is 1/2
A standard baseball diamond is a square 90 feet on each side. Find the distance of a throw made from the catcher 3 feet behind home plate in an attempt to throw out a runner trying to steal second base. Round to the nearest whole number.
Answer:
130 fr
Step-by-step explanation:
Distance (d) from home plate to second base:
d² = 90² + 90² = 16200
d = \(\sqrt{16200}\) = 127.28 ≅ 127
Now add the 3 ft behind home plate:
127 + 3 = 130 ft
Someone help pleaseeeeee I will report if ur wrong k ;))
Answer:
15
Step-by-step explanation:
\(\frac{6-3}{0.4-0.2}\) -> \(\frac{3}{0.2}\) ->15
PYTHAGOREAN THEOREM!! HELP!! BRAINLIEST!! 20 POINTS!!
I know A and B! I need help with the rest!
Part A
The Pythagorean Theorem states that for any given right triangle, a^2+ b^2 = c^2.
Using the Pythagorean Theorem, what would be the relationship between the areas of the three squares (1, 2,and 3)?
Part B
Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
Part C
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.
Part D
Write an expression for the area of square 5 by combining the area of the four triangles and one square.
Part E
Since the areas of square 4 and square 5 are the same, set the two expressions equal.
Part F
Which term is on both sides of the equal sign? Since it’s on both sides of the equal sign, you can cancel it out. What is the expression after canceling out the common term?
Part G
What does the equation show after you cancel out a common term?
The relationship between the areas of the three squares is that square A plus square B equals the area of square C.
What is Pythagorean Theory?The Pythagorean theorem is a fundamental idea in geometry that states that for any right-angled triangle, the square of the length of the longest side (opposite the right angle) is equal to the sum of the square of the lengths of the two remaining sides. This equation can be expressed as:
\(a^2 + b^2 = c^2\)
Thus, the relationship between the areas of the three squares is that square A plus square B equals the area of square C.
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Rashon is trying to pick out an outfit for the first day of school. He can choose from 3 pairs of pants, 5 t-shirts, and 2 pairs of shoes. How many different outfits does Rashon have to choose from?
Answer:
30
Step-by-step explanation:
To find the number of different outfits:
3*5*2 = 30
They can choose from 30 different outfits.
Which term can be added to both sides of the equation
by completing the square?
+
a
a so that the equation can be solved
2
O
2a
O
ca.
Help please
Step-by-step explanation:
my instagram account bdq.frk follow please
Help out with this question please!
Answer:
my answer is A
Step-by-step explanation:
if you work out the equation where you know that at the x intercept y=0 you will find A to be true
How to find a coterminal angle between 0 and 360° ?
A coterminal angle is an angle that has the same initial side and terminal side as a given angle. The difference between the angle and the coterminal angle is a multiple of 360 degrees.
The following steps can be used to find a coterminal angle between 0 and 360 degrees:
Step 1: Identify the given angle. Let's assume that the given angle is 100 degrees.
Step 2: Add or subtract multiples of 360 degrees to the given angle to obtain a new angle that has the same initial and terminal sides. To obtain the angle that is between 0 and 360 degrees, add or subtract 360 degrees from the angle until the result is between 0 and 360 degrees.There are two ways to do this.
The first method is to add or subtract multiples of 360 until the result is between 0 and 360 degrees. The second method is to divide the given angle by 360 degrees and then multiply the quotient by 360 degrees.
The first method:Subtract 360 degrees from 100 degrees to get -260 degrees. Add 360 degrees to -260 degrees to get 100 degrees, which is between 0 and 360 degrees. Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.
The second method:Divide 100 degrees by 360 degrees to get a quotient of 0.27777777778. Multiply 0.27777777778 by 360 degrees to obtain 100 degrees, which is between 0 and 360 degrees.
Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.
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Find the area and perimeter of this shape.
Answer:
55
Step-by-step explanation:
since, it is a parallelogram we can find the area easily just by multiplying the base and height
A=bh
A=55m2
GEOLOGY Shan used a surveying tool to map a region of land for his science class. To determine the height of a vertical rock formation, he measured the distance from the base of the formation to his position and the angle between the ground and the line of sight to the top of the formation. The distance was 43 meters, and the angle was 36°. What is the height of the formation to the nearest meter? 36° 43 m
The formation's height is 31 meters to the closest meter.
What exactly is meant by height?In mathematics, height is defined as the vertical distance between an object's top and bottom. It is also referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.
Height, altitude, and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height is a standard bodily measurement that is commonly measured in feet (ft) + inches (in) in the United States and centimeters (cm) abroad. Because they are length measurements, the SI unit would be meters.
We can use the tangent function to calculate the formation's height, h.
tan ( 36°) = h/43
Here, we have to multiply both sides by 43 we get,
43tan (36°)= h
h=31m
Therefore, the height of the formation to the nearest meter is 31m.
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What is the simplest form of this expression?
7(-4a-4) + (-4) (-6a-5)
The statistic that reflects the distribution of values for a variable is called?
Answer:
Standard Deviation
Step-by-step explanation:
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
50 POINTS PLEASE HELP
find the area of quadrilateral RSTU
Answer:
29.5
Step-by-step explanation:
First, you find the area of a 7 by 5 rectangle.
Then you subtract the two triangles that are the access pieces.
A standing wave can be mathematically expressed as y(x,t) = Asin(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.
The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.
At time t=0,
the standing wave can be mathematically expressed as
y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.
This means that the displacement of the string is zero at time t=0.
However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.
As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).
The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.
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What is the percent
increase from 70 to 77?
Percentage change = 10%
We can use the formula:
Percent change = \(\frac{New-Old}{Old}\) x 100
Percent change = \(\frac{77-70}{70}\)x100
Percent change = \(\frac{7}{70}\) x 100
Percent change = 0.1 x 100
Percent change = 10%
Answer: 53.9
Step-by-step explanation:
Can someone help me with this
Answer:
a = 17
c = 9
Step-by-step explanation:
2a + 3c = 61
3a + 5c = 96
3a = 96 - 5c (solve for 'a'. Then you can substitute)
a = 32 - \(\frac{5}{3}\) c
2(32 - \(\frac{5}{3}\)c) + 3c = 61 (Substitute)
64 - \(\frac{10}{3}\)c + 3c = 61 (\(\frac{10}{3}\) = 3 \(\frac{1}{3}\). So subtracting, adding a negative, leaves \(\frac{-1}{3}\))
-\(\frac{1}{3}\) c= -3
c = 9
2a + 3(9) = 61
2a + 27 = 61
2a = 34
a = 17
Select the correct answer.
Which function has a zero with a multiplicity of 2?
Answer:p(x)=(x-1)(x-3)²
Step-by-step explanation:
The polynomial p(x)=(x-1)(x-3)² is a 3rd degree polynomial, but it has only 2 distinct zeros. This is because the zero x=3, which is related to the factor (x-3)², repeats twice. This is called multiplicity. It means that x=3 is a zero of multiplicity 2, and x=1 is a zero of multiplicity 1.
h(x) = 3x; Find h(-6)
whats is 47 over 15 as a decimal rounded to the nearest hundredth
3.13
47/15=3.13333333333333333333333... and to the nearest hundredth would be 3.13. let me know if im wrong, i love feedback!
Quick! Evaluate (-2 2/5)^2 !
Answer:5.76
Step-by-step explanation:
-2 2/5=-2.4
(-2.4)^2=5.76
Rewrite the following to be in the form y = a(b)^x.
g(x) = 6(2)^x+3
y = 100(5)^x-2
We can rewrite g(x) = 6(2)ˣ⁺³ and y = 100(5)ˣ⁻² in the form y = a(b)ˣ as g(x) = 48(2)ˣ and y = 4(5)ˣ respectively
How to rewrite expressions in the form y = a(b)ˣ?
An exponential function is a mathematical function in which the input, or the variable, is raised to a power.
The most common form of an exponential function is f(x) = eˣ, where e is the base of the natural logarithm and x is the exponent.
In order rewrite g(x) = 6(2)ˣ⁺³ and y = 100(5)ˣ⁻² in the form y = a(b)ˣ, you need to apply your knowledge of indices.
g(x) = 6(2)ˣ⁺³ can be rewritten as:
g(x) = 6(2)ˣ⁺³
g(x) = 6(2)ˣ × 2³
g(x) = 6(2)ˣ × 8
g(x) = 48(2)ˣ
Also, y = 100(5)ˣ⁻² can be rewritten as:
y = 100(5)ˣ⁻²
y = 100(5)ˣ × 5⁻²
y = 100(5)ˣ × (1/5²)
y = 100(5)ˣ × 1/25
y = 4(5)ˣ
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The graph shows how a motorboat travels around a lake. What does the graph most likely show?
The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.
Option D is the correct answer.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
The x-axis can be assumed as 10 minutes for each unit.
Now,
From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.
From x = 10, the line on the graph is horizontal this means, the speed is constant.
Thus,
The speed of the boat increases steadily for 10 minutes and travels at a constant speed.
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a group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". when this interesting creature dies, it explodes itself into a number of baby piknits called gogles. the scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. after the piknits died they counted the number of gogles that each piknit produced. they wanted to know if the weight of the piknits can be used to predict the number of gogles.
As per the given correlation, the appropriate null and alternative hypothesis for calculating number of goggles is
H0 : No linear relation
H1 : there is a relation
What is meant by correlation?
In math, correlation is referred as a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).
And it is a common tool for describing simple relationships without making a statement about cause and effect.
Based on the given question, a group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.
And we also know that, they wanted to know if the weight of the piknits can be used to predict the number of gogles.
Here from the given information, the null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of goggles
And the Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles
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1. What is the m2<5? Explain how you know. (2 points)
2.What is the measure of the sum of the angles in a triangle? (2 points)
3. L3 is in a triangle with L4 and L5. Write and solve an equation to find the m L3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. L2 is in a straight line with L1 and L3. Write and solve an equation to find the m L2 (2 points)
Somebody answer this for me
your right its that one
Answer:
its d and e
Step-by-step explanation:
what is the probability rule for deciding whether events a and b are independent
Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).
Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.
Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.
Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.
P(A ∩ B) = P(A) * P(B)
Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.
Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.
In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).
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solve t^2y'+2ty-y^3=0
The general solution to the given differential equation is
y = ± √(1 / (2ln|t| + 4/t - C2))
Solution to the differential equationTo solve the given differential equation, we can use the method of separable variables. Let's go through the steps:
Rearrange the equation to separate the variables:
t^2y' + 2ty - y^3 = 0
Divide both sides of the equation by t^2:
y' + (2y/t) - (y^3/t^2) = 0
Now, we can rewrite the equation as:
y' + (2y/t) = (y^3/t^2)
Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:
(1/y^3)dy = (1/t - 2/t^2)dt
Integrate both sides of the equation:
∫(1/y^3)dy = ∫(1/t - 2/t^2)dt
To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.
-1/2 ∫du = ∫(1/t - 2/t^2)dt
-1/2 u = ln|t| + 2/t + C1
-1/2 (y^(-2)) = ln|t| + 2/t + C1
Multiply through by -2:
y^(-2) = -2ln|t| - 4/t + C2
Now, take the reciprocal of both sides to solve for y:
y^2 = (-1) / (-2ln|t| - 4/t + C2)
y^2 = 1 / (2ln|t| + 4/t - C2)
Finally, taking the square root:
y = ± √(1 / (2ln|t| + 4/t - C2))
Therefore, the general solution to the given differential equation is:
y = ± √(1 / (2ln|t| + 4/t - C2))
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The heights of 200 adults were recorded and divided into two categories.
6' or over
Under 6
12
86
Male
Female
3
Which two-way frequency table correctly shows the marginal frequencies?
Answer:
The correct answer would be Table A in your case.
Step-by-step explanation:
12 + 3 = 15
86 + 99 = 185
and 98 + 102 = 200
Meaning those are true statements.
The correct frequency of the given table will be an option (A).
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
The frequency of an occurrence or a value is the number of times it happens.
In other words, a frequency table is a table in which we have some data and their frequency.
Given the data and frequency in the question
In option (A) ;
12 + 3 = 15 and 86 + 99 = 185
12 + 86 = 98
3 + 99 = 102
98 + 102 = 200 and 15 + 185 = 200 hence all are correct so it will be correct answer.
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