In the exercise we first formulate and then replace values to find an unknown;
It is important to first look at what data the exercise gives us and then place them in the correct way, it must coincide with what the graph shows us.
can you solve this quickly
Answer:
A
Step-by-step explanation: The lines are only intersecting with each other once
Answer:
A) 1 solution; consistent and independent
Step-by-step explanation:
on the graph the line only intersects once so there is only 1 solution and if 2 graphs have at least 1 solution it is considered consistent and if it has only one solution then it is independent.
Hopes this helps please mark brainliest
Write an equation for a circle in standard
form with a center at (-6, 5) and passes
through the point (-11, 3).
Answer:
is a way to express the definition of a circle on the coordinate plane. The formula is ( x − h) 2 + ( y − k) 2 = r 2. h and k are the x and y coordinates of the center of the circle. ( x − 9) 2 + ( y − 6) 2
Step-by-step explanation:
Hope it helped the answer is up there☝
A water tank contains 55 gallons of water when Baxter begins to drain it. Water drains from the tank at a rate of 2 gallons per minute. Write a linear equation to model this situation.
i'm confused
The linear equation to model the situation of water when Baxter begins to drain it is 55 + 2x = y.
Describe the term linear equation?A linear equation is indeed an algebraic equation with only a constant and the first-order (linear) term of the form y=mx+b, in which m is the slope and b is just the y-intercept. The above is sometimes referred to as a "linear equation of two variables," in which y and x are the variables.The initial amount is 55 gallons and will not change.
The amount of water in the tank is increasing by 2 gallons per minute.
The minutes are the independent variable, which we can represent with the x.
The amount just at end of the minutes is the dependent variable, which we can represent with the y.
The linear equation;
55 + 2x = y
Thus, the linear equation to model the situation of water when Baxter begins to drain it is 55 + 2x = y.
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Jina needs to memorize words on a vocabulary list for Latin class. She has memorized 12 of the words, which is three-fourths of the list. How many words are on the list?
12 words is 3/4 or 75% of the list
How many words are=
Find 100- 75=25%
25%= 1/4 = 3/4÷3
Then divide 75%/3= 12/3= 4
Now add 12words + 4 words = 16 words
Then answer is, there are 16 words
Which of the following is equivalent to 1.92?
A.1.92%
B.19.2%
C.25/23
D.1 23/25
Answer :A i think
Step-by-step explanation:
If y = 45° and a = 7√2 cm, find the
exact area of the triangle.
a
X
C
y
b
Answer:
tan y = a/b = 1
(.tan 45° = 1)
a=b
Areas a=1/2 a * b = 1/2 =1/2 * 7√2 * 7√2 cm
b = 7√2 cm
= 49cm²
Step-by-step explanation:
joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day. on days when he doesn't walk, he runs all that distance at the gym. but if he walks 2 blocks, he cuts of 1/12 a mile off his run. today joshua walked 12 1 12 blocks. how far will he run at the gym?
3.75 miles he run at the gym.
What is distance?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.
On days when he doesn't walk, he runs all that distance at the gym.
But he walks 2 blocks, he cuts of 1/12 a mile off his run.
Today Joshua walked 12 blocks.
As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.
He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.
4.25 - 6(1/12) = 3.75
Therefore, 3.75 miles he run at the gym.
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Suppose that you are designing an aluminum can which will hold a volume of 200pi cm^3 of soup. Find the value of the radius that minimizes the amount of aluminum used, and justify that this gives a local minimum. Include units.
The value of the radius that minimizes the amount of Aluminium is 4.64 cm and it gives the local minimum of the function
How to determine the value of the radius that minimizes the amount of Aluminium?From the question, the volume of the aluminium is given as
Volume = 200pi cm^3
Rewrite this volume properly using the correct symbols and units
So, we have the following representation
Volume = 200π cm³
Solving further, we make use of the volume of a cylinder (i.e. a can)
The volume of a sphere is represented as
V = πr²h
Substitute Volume = 200π cm³ in
πr²h = 200π
Make h the subject in the above equation
This gives
h = 200π/πr²
Cancel the common factors
h = 200/r²
The surface area of a can is
A = 2πr(h + r)
So, we have
A = 2πr(200/r² + r)
This gives
A = 400π/r + 2πr²
Differentiate the function
This gives
A' = -400π/r² + 4πr
Set the differentiated function to 0
-400π/r² + 4πr = 0
So, we have
-400π/r² = -4πr
Cross multiply
-400π = -4πr³
Divide through by -4π
r³ = 100
Take the cube roots
r = 4.64
Hence, the radius that given minimum material is 4.64 cm
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Graph the following quadratic equation y=5x^2
Given:
[tex]y=5x^2[/tex]We have the graph below:
hello, I need help asap on this following problem. I don’t know how to approach and don’t want to get it wrong.
The slope-intercept form of a line equation is given by:
[tex]y=mx+b[/tex]Where m is the slope of the line and b is the y-intercept. From the problem, we identify:
[tex]m=-0.6[/tex]To find b, we use the fact that when x = 20, y = 13:
[tex]\begin{gathered} 13=(-0.6)20+b \\ 13=-12+b \\ \\ \Rightarrow b=25 \end{gathered}[/tex]Finally, for x = 16 (the corresponding y is the height of the candle after 16 hours):
[tex]\begin{gathered} y=-0.6(16)+25=-9.6+25 \\ \\ \therefore y=15.4\text{ cm} \end{gathered}[/tex]Lamar is 4 times as old his brother Malcolm. In 2 years; Lamar will be 3 times as old as Malcolm is than. How old will Lamar be in 2 years?
In 2years time, Lamar will be 18years old by application of an algebraic expression x for the unknown value.
What is algebraAlgebra is the branch of mathematics that helps to represent problems or unknown values in the form of mathematical expressions.
Algebraically, let us represent the age of Malcolm with the unknown value x
then the age of Lamar will be 4x
In 2years time;
Malcolm's age = x + 2
Lamar's age = 3(x + 2) {3times as old as Malcolm}
Also
Lamar's age = 4x + 2 {Lamar's age plus 2years}
So
4x + 2 = 3(x + 2)
open bracket by expansion
4x + 2 = 3x + 6
collect like terms
4x - 3x = 6 - 2
x = 4
Hence, substituting the known value of x in the algebraic expressions of x for Malcolm's age and 4x for Lamar's age, we have 4years and 16years respectively. And in 2years time Lamar will be 18years
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Which system of inequalities is shown?55-5.5O A. y>xy<2B. y> xy> 2O c. y< xC.y<2D. y 2
The equations of the two lines are y=2 (the horizontal one) and y=x (the diagonal line).
The region is 'under' y=x without including such line, and 'above' y=2 without including that line.
Therefore, the system of inequalities whose solution is the shaded region is
[tex]\begin{gathered} y>2 \\ and \\ yThus, the answer is y>2, yWhich theorem, term, or corollary is represented by the picture?
The triangle is an Corollary 1 to the isosceles triangle theorem.
Given that,
In the picture we have a triangle,
We have to find which triangle is it.
From the triangle,
The 2 sides are equal and the 2 angles are also equal.
So, The triangle is an Corollary 1 to the isosceles triangle theorem.
According to the isosceles triangle theorem, if two triangle sides are congruent, then the angles across from those sides are likewise congruent.
An isosceles triangle is one with two sides that are the same size and a third side that is a different size.
Therefore, The triangle is an Corollary 1 to the isosceles triangle theorem.
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What are the properties of a translation?Give the coordinates of the.T(3, -1 (AABC) for A(5, 0), B( -1, 2), C(6, -3)
Solution:
Given the coordinates of the image;
[tex]T_{(3,-1)}(\triangle ABC):A(5,0),B(-1,2),C(6,-3)[/tex]The coordinates of the new image is;
[tex]\begin{gathered} A^{\prime}(5+3,0-1),B^{\prime}(-1+3,2-1),C^{\prime}(6+3,-3-1) \\ \\ A^{\prime}(8,-1),B^{\prime}(2,1),C^{\prime}(9,-4) \end{gathered}[/tex]What is the solution to this equation? 6+7 (b−1) = 5+b
Responses:
A. b = 0
B. b = 1
C. b = 2
D. b = 5
(K12 question math 5.04)
The solution of the given equation is 1. Therefore, option B is the correct answer.
The given equation is 6+7(b-1) = 5+b.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows:
Now, 6+7b-7 = 5+b
⇒ 7b-1=5+b
⇒ 7b-b=5+1
⇒ 6b=6
⇒ b=1
The solution of the given equation is 1. Therefore, option B is the correct answer.
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The volleyball team has a record of 6 wins and 2 losses. What other team has a proportional win-loss record? Basketball: 12 wins, 5 losses Football: 3 wins, 1 loss Wrestling: 12 wins, 6 losses Debate: 3 wins, 4 losses
The number of win and losses of the volleyball team is related by a constant number, 3. This means that they're proportional. To find if the other teams also have proportional win-loss records we need to divide the number of their wins by the number of losses, if the result is an integer number, then they're proportional. We have:
[tex]\begin{gathered} \text{ basketball=}\frac{12}{5}=2.4 \\ \text{ football=}\frac{3}{1}=3 \\ \text{ wrestling=}\frac{12}{6}=2 \\ \text{ debate =}\frac{3}{4}=0.75 \end{gathered}[/tex]Since the football team has a proportional win-loss record with the same proportion as the Volleyball team, then this is the correct answer.
please help The table below shows the probability distribution of a random variable Y. What is the expected value of Y? Write your answer as a decimal.
Step 1. We are given a table with values for Y and their corresponding probability P(Y).
Required: Find the expected value of Y.
Step 2. First, we will label the Y values as Y1, Y2, Y3, Y4 as shown in the diagram:
And we will label the corresponding probabilities as P1, P2, P3, and P4, shown in the following diagram:
Step 3. The formula to calculate the expected value E(Y) is:
[tex]E(Y)=Y_1P_1+Y_2P_2+Y_3P_3+Y_4P_4[/tex]Step 4. Substituting the values from step 2 into the formula from step 3:
[tex]E(Y)=(14)(0)+(15)(0.6)+(16)(0.3)+(17)(0.1)[/tex]Solving the operations:
[tex]\begin{gathered} E(Y)=0+9+4.8+1.7 \\ E(Y)=15.5 \end{gathered}[/tex]The expected value is 15.5
Answer: 15.5
please help me someone with math I screenshot the question please help
The correct order of the steps in a trial from first to last, include the following:
Jury selection.Opening statements.Presentation of evidence.Closing statements.Jury deliberation.VerdictSentencingWhat is a trial court?A trial court can be defined as a court of original jurisdiction where issues of fact, evidence, laws, and testimony for a litigation are first received, considered and decided, based on the deliberation by the jury.
Generally speaking, the citizen jury are legally empowered by the constitution to perform the following actions and activities:
Engage in legal proceedings.Deliberate and carry out an investigation with respect to a potential criminal case.Determine whether or not an evidence is quite sufficient to warrant trial of an accused person in a court of competent jurisdiction.In conclusion, a trial court is saddled with the responsibility of persuading the citizen jury before giving its verdict and sentencing a guilty offender, as the case may be.
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In an experiment, the probability that event B occurs is -, and the probability that event A occurs given 7 기 7 that event B occurs is - 8 What is the probability that events A and B both occur? Simplify any fractions.
ANSWER
P(A and B) = 1/2
EXPLANATION
By the Bayes Theorem we have a relationship between the given probabilities:
[tex]P(A\text{ and B)}=P(B)\cdot P(A|B)[/tex]In this problem P(B) = 4/7 and P(A|B) = 7/8:
[tex]P(A\text{ and B)}=\frac{4}{7}\times\frac{7}{8}=\frac{4}{8}=\frac{1}{2}[/tex]Margie is 4.25 feet tall . The maple tree in her backyard is 5.5 times taller than her. How tall is the maple tree?
Answer:
Given that,
Margie is 4.25 feet tall
The maple tree in her backyard is 5.5 times taller than her.
To find the height of the maple tree.
we get,
Height of the maple tree is,
[tex]=4.25\times5.5[/tex][tex]=23.375[/tex]Maple tree is 23.375 feet tall.
What are the x and y intercepts? What do they mean in terms of the graph?
The slope of the line that passes through the points ( 0 , 3 ) a n d ( 5 , 13 )
The formula of a slope:
[tex]\huge\begin{array}{ccc}m=\dfrac{y_2-y_1}{x_2-x_1}\end{array}[/tex]
We have two points:
[tex](0,\ 3)\to x_1=0,\ y_1=3\\\\(5,\ 13)\to x_2=5,\ y_2=13[/tex]
Substitute:
[tex]m=\dfrac{13-3}{5-0}\\\\m=\dfrac{10}{5}\\\\\boxed{m=2}[/tex]
Answer:
Slope = 2
Step-by-step explanation:
Now we have to,
→ find the slope of the line.
Formula we use,
→ Slope(m) = (y2 - y1)/(x2 - x1)
Then the slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (13 - 3)/(5 - 0)
→ m = 10/5
→ [ m = 2 ]
Hence, the slope is 2.
Write8600asaBabylonianNumeral.
First we need to divide 8600 by 3600 and the remainder divide it by 60, let's see how it goes:
This means that we can write 8600 like this:
[tex]8600=3600x2+60x23+20[/tex]With the quotients and the laste residue we can make the block of symbols:
find range of f(x)=4/3x^2-3x
Answer:
y>= -27/16
Step-by-step explanation:
I just put in the calculator
NEED HELP FAST FOR GEOMETRY 10TH PLEASEEEEEE
Answer:
The answer is the first option
Step-by-step explanation:
Tan is opposite over adjacent
so its 24/10
simplify
12/5
hope this helped
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
A pair of parallel lines is cut by a transversal, as shown:
Which of the following best represents the relationship between angles A and B? (4 points)
Group of answer choices
A = 2B
B = 180 degrees − A
A = B
A = 180 degrees − B
Answer:
A incorrect
Step-by-step explanation:
the degree is a optional request
The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer: |28| |62| |90|
Mobile device: |46| |64| |110|
Column totals: |74| |126| |200|
What is the joint relative frequency of students who use a mobile device in an online class?
Relative frequency of students who use online class in percentage = 62.17%
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
For example 2% means [tex]\frac{2}{100}[/tex]. Here 2 is expressed as a fraction of 100.
Here,
Number of students using mobile in traditional class = 46
Total number of students in traditional class = 74
Relative frequency of students who use online class in percentage =
[tex]\frac{46}{74} \times 100[/tex]
= 62.17%
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the theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the:
The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the Central Limit Theorem
The Central Limit Theorem is a statistical theorem that states that, given a sufficiently large sample size, the distribution of the mean of any sample will be approximately normal, regardless of the shape of the distribution from which the sample was drawn.
In other words, the theorem states that the mean of a large sample will be close to the mean of the population, and that the standard deviation of the distribution of the sample mean will be small.
The theorem is important because it provides a way to approximate the distribution of any sample statistic, as long as the sample size is large enough. This is useful because many statistical tests, such as hypothesis tests and confidence intervals, require that the data be normally distributed.
The theorem is also important because it provides a way to quantify the amount of error that is introduced when a sample is used to estimate a population parameter. This is known as the standard error, and it is equal to the standard deviation of the distribution of the sample mean divided by the square root of the sample size.
The Central Limit Theorem is one of the most important theorems in statistics, and it is widely used in many different fields.
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A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games?A.3:5B.3:8C.5:3D.8:3
in irder to solve this problem
we need to now that the probability to win one coin toss is 0.5
so other thing we need to know is
there all these possible scenarios that will happen
w= win
L=lose
WWW
WWL
WLW
LWW
LLW
LWL
LLW
LLL
as you can see only in 3 scenarios when the cougar win exactly 2
so the correct answer is B