write the equation of each line in slope-intercept form. then graph the line described by the equation
passes through (5,-4) and (-6,5)
(the question is number 6)
Answers
Related Questions
The picture is above I’ll mark as brainliest.
Answers
Answer:
?=5
Step-by-step explanation:
So let's do 16-6 (3*2)
10/2=5
Answer: ?=5
Step-by-step explanation:
In a rectangle the opposite sides are congruent (same length).
So we have ?+?+3+3=16
Let's use a variable for ?
x+x+3+3=16
Since there are 2 of the variable x we can write it as 2x since 2 of something means it's doubled. We can also combine 3 and 3.
2x+6=16
Let's subtract 6 from both sides.
\(2x+6-6=16-6\\2x=10\)
Now let's divide both sides by 2 to find the value of x (which is ?)
\(\frac{2x}{2} =\frac{10}{2} \\x=5\)
The value of x/? is 5.
what is the value of r if 3r =243
Answers
Answer:
Making r the subject
r=243/3 = 81.
3r = 243
r = 243/3
r= 81
hope it helps you ♡♡
Which of the following does not satisfy the equation
Answers
Answer: Option D = \(2\left(-10^2\right)-5\cdot \:36=-380\)
Step-by-step explanation:
What is the slope of the line through the points (-2, -1) and (4, 3)?
1. 3/2
2. 5/2
3. 2/5
4. 2/3
Answers
Answer:
4. 2/3
Step-by-step explanation:
Plug the coordinates into the formula.
y2 - y1 / x2 - x1
= 3 - (-1) / 4 - (-2)
= 2/3
5.) A woman put $580 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for the vear in dollars and cents? (Round to the nearest cent) 6.) Pamela bought an electric drill at 85% of the regular price. She paid $32.89 for the drill. What was the regular price? (Round to the nearest cent)
Answers
The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents
To find the interest we can use this following formula:Interest = P x R x T.
Where:
P = Principal amount (the beginning balance).
R = Interest rate
T = Number of time periods
In this case, we are given that;
Principal amount (P) = $580
Interest rate (R) = 6,5 %
Time = 1 year
Hence, The amount of the interest = 6,5% of $580
= 0.065 × $580
= $37.7
1 dollar = 100 cents
Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents
To find the regular price of the electric drill, we can use this following formula:P = (1 – d) x
Where,
P = Price after discount
D = discount rate
X = regular price
In this case, we are given that:
P = $32.89
D = 85% = 0,85
Hence, the regular price:
P = (1 – D) x
32.89 = (1 – 0.85) X
32.89 = 0.15X
X = 32.89/0.15
X= 219.27
1 dollar = 100 cents
Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents
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how much money is 10 quarters 17 dimes 40 nickels and 15 pennies
Answers
Answer:
$6.35
Step-by-step explanation:
10 quarters =
10 × .25 = $2.50
17 dimes =
17 × .10 = $1.70
40 nickels =
40 × .05 = $2.00
15 pennies =
15 × .01 = $0.15
2.50+1.70+2.00+.15
= 6.35
The total is $6.35.
If the marked price of an article is Rs.x, discount amount is
Rs. y and the VAT amount is Rs. z, Calculate the selling
price of the article including VAT.
Answers
Answer:
The marked price of an article is Rs. x, and selling price is Rs. y
Price difference = Rs. (x−y)
Now, on Rs. x, there is a discount of Rs. (x−y)
Thus, on Rs. 100, there will be a discount of Rs.
x
(x−y)
×100%.
what is the slope of the line?
Answers
Answer:
No Solution
Step-by-step explanation:
Slope is rise/run
rise = 1
run = 0
you can't divide by 0 so no solution
Answer:
The slope of the line is undefined.
Step-by-step explanation:
The slope of a line is given by \((y_2-y_1)/(x_2-x_1)\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points on the line. Since this is a vertical line, \(x_2-x_1\) will, however, be equal to zero. We cannot divide by zero, so the slope of the line is not defined.
Please help!!! prove triangle abe is congruent to triangle cde
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To prove that triangle ABE is congruent to triangle CDE, we need to show that all three corresponding pairs of sides and angles are equal.
Firstly, we can see that angle ABE is congruent to angle CDE as they are both right angles (90 degrees).
Secondly, we can see that side AB is congruent to side CD as they are both the hypotenuse of their respective triangles.
Lastly, we need to show that side AE is congruent to side CE. We can do this by using the Pythagorean theorem.
In triangle ABE, we have:
AE^2 = AB^2 - BE^2
In triangle CDE, we have:
CE^2 = CD^2 - DE^2
Since AB is congruent to CD and BE is congruent to DE (they are corresponding sides), we can substitute and simplify:
AE^2 = CD^2 - DE^2 - BE^2
CE^2 = CD^2 - DE^2
Therefore, if we subtract the second equation from the first, we get:
AE^2 - CE^2 = -BE^2
Since BE is a positive length, -BE^2 is negative. Therefore, AE cannot be equal to CE.
Thus, we have shown that triangle ABE is not congruent to triangle CDE.
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PLese help me please please
Answers
Answer:
d. 2√286
Step-by-step explanation:
To find x, we need to use pythagoras theory:
a² + b² = c², where c is the hypotenuse or the slant of the triangle
Substitute (plug in) in the values:
x² + 15² = 37²
Simplify:
x² + 225 = 1369
x² = 1369 - 225 (I subtracted 225 from both sides)
x² = 1144
x = √1144 = 2√286
there is a 20% chance that a risky stock investment will end up in a total loss. if you invest in 25 independent risky stocks, what is the probability that fewer than six of these 25 stocks end up in total losses?
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There is a 20% chance that a risky stock investment will end up in a total loss. If you invest in 25 independent risky stocks, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.
Given data:
Probability of getting a total loss in one investment = 20% = 0.20
Probability of not getting a total loss in one investment = 1 - 0.20 = 0.80
Number of investments = 25
We need to find the probability that fewer than six out of these 25 risky investments end up in total losses.
We will use the binomial distribution formula here:P(X < 6) = Σp(x) (from x = 0 to x = 5)
Here, Σ is the summation signp(x) = probability of x successes in 25 trials, which is given by the formula:
p(x) = [ nCx * p^x * (1-p)^(n-x)]
Where, n = number of trial
s = 25
p = probability of success = 0.80
q = probability of failure = 1 - p = 0.20n
Cx = n! / (x! × (n-x)!) = combination of n items taken x at a time
We need to substitute these values in the formula and calculate the probability:
P(X < 6) = Σp(x) (from x = 0 to x = 5)
P(X < 6) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)
P(X < 6) = \([25C0 * (0.80)^0 * (0.20)^25] + [25C1 * (0.80)^1 * (0.20)^24] + [25C2 * (0.80)^2 * (0.20)^23] + [25C3 * (0.80)^3 * (0.20)^22] + [25C4 * (0.80)^4 * (0.20)^21] + [25C5 * (0.80)^5 * (0.20)^20]\)
P(X < 6) ≈ 0.91
Therefore, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.
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According to the rules of significant figures, 3.92 +0.7. = 4.6. This is because the least precise value in the problem is 0.7, which is precise only to thetenths digit, so the answer must also be rounded to the nearest tenth.
A. True
B. False
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Answer:
true for A P E X
Step-by-step explanation:
A scale model of a building is 6in tall. The scale of the model is 1in. :50ft. How tall is the actual building?
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Answer:
300 ft
Step-by-step explanation:
wrongngngngngngngnngngngngngngngngngngngngngngngngng
Answers
Answer:
hh
Step-by-step explanation:
hjjhjhbj
Central conservative forces: (a) Consider the force F= r2kr^ : Is this force conservative? Is it central? If it is conservative find the potential energy V(r). For full marks you need to justify your answer and explain any assumptions that you make.
Answers
The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force
To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.
A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:
∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.
Calculating the components of F = r^2k(r^):
Fx = 0, since there is no force component in the x-direction.
Fy = 0, since there is no force component in the y-direction.
Fz = r^2kr^.
Taking the partial derivatives, we have:
∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.
∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.
Substituting these values into the curl equation, we get:
∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).
Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.
Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).
For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.
Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.
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which of the following describes a scenario in which a chi-square goodness-of-fit test would be an appropriate procedure to justify the claim? responses a statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. the statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample. a statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. the statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample. a principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. the principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria. a principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. the principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria. a campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories. a campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories. a manager of a water treatment plant would like to investigate whether there is a relat
Answers
a) The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
b) A Chi-Square goodness of fit test.
a) A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported and that's why we know that the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
Chi-Square goodness of fit is used to find out how the observed value of a given phenomenon is significantly different from the expected value. In Chi-Square goodness of fit test, the sample data is divided into intervals.
In this case, we have one categorical variable which is the distribution of individuals within several social groups. We want to see if the actual distribution of the variable is significantly different from the distribution within several social groups as claimed(expected) by the newspaper.
Hence, we will use chi-square goodness of fit test for this case.
b) A Chi-Square goodness of fit test.
Here the variable is the distribution of individuals purchasing season pass at an amusement park. The variable has 4 categories based on the age group of the individuals.
A tourist company wants to test the actual distribution of individuals within each age group and wants to check if it is significantly different from the expected distribution i.e the one claimed by the amusement park.
The tourist company randomly sampled 200 individuals entering the park.
The proportion of individuals within each group as claimed by the amusement park is given.
Hence, we will use chi-square goodness of fit test to test if the actual distribution within each group is significantly different or not from the claimed distribution.
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log(3x² + 5x + 3) ≥ 0 for all real values of x .
Prove by counter- example that this statement is false
Answers
The counter-example that proves the statement is false for x = -1.
To prove that the statement is false, we need to find a counter-example, which is a value of x that makes the inequality false.
First, let's rewrite the inequality using the exponential form:
log(3x² + 5x + 3) ≥ 0
This means that the expression inside the logarithm must be greater than or equal to 1:
3x² + 5x + 3 ≥ 1
Simplifying:
3x² + 5x + 2 ≥ 0
Now, we need to find a value of x that makes the inequality false. One way to do this is to look for a value of x that makes the left-hand side of the inequality negative. For example, if we substitute x = -1, we get:
3(-1)² + 5(-1) + 2 = 0
So, the left-hand side of the inequality is equal to 0, which is not greater than or equal to 1. Therefore, the inequality is false for x = -1.
In conclusion, we have found a counter-example (x = -1) that proves the original statement is false.
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BRAINLIEST, THANKS AND 5 STARS IF ANSWERED BOTH CORRECTLY. What is the 7th term in this geometric sequence? 3, 12, 48, 192.. ---------- What is the ratio (multiplier) of the following geometric sequence? 4, 2, 1, 0.5
Answers
Answer:
see below
Step-by-step explanation:
3, 12, 48, 192
We are multiplying by 4 each time (12/3 =4)
The 5th term
192 *4 =768
The 6th term
768 *4 =3072
The th term
3072 *4 =12288
To find the common ratio, take the second term and divide by the first
2/4 = 1/2
The common ratio is 1/2
Problem 1
Answer: 12288---------------------------
Explanation:
The first term is a = 3 and the common ratio or multiplier is r = 4. We start with 3 and multiply each term by 4 to get the next one. The nth term of this geometric sequence is
a(n) = a*(r)^(n-1)
a(n) = 3*(4)^(n-1)
Plug in n = 7 to get the seventh term
a(7) = 3*(4)^(7-1)
a(7) = 3*(4)^6
a(7) = 3*4096
a(7) = 12288
====================================================
Problem 2
Answer: 1/2 or 0.5----------------------
Explanation:
To find the common ratio, we pick any term but the first one and divide it over its previous term
r = common ratio
r = (second term)/(first term) = 2/4 = 1/2 = 0.5
r = (third term)/(second term) = 1/2 = 0.5
r = (fourth term)/(third term) = 0.5/1 = 0.5
Each term is cut in half to get the next one.
Consider this right triangle with given measures.
What is the length of the missing leg?
Answers
Answer:
The answer is 6 feet.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Find the circumference of a tire that has a radius of 11 inches. Use 3.14 for N.
Answers
Answer: 69.08 in
Step-by-step explanation:
The formula for circumference is:
2πr
If we substitute 3.14 for π, the formula is:
2(3.14)(11) = 69.08 in
Answer:
2386.0232
Step-by-step explanation:
Find the are, and then find the circumference.
At his comic book store, Korey's Comics, Korey sells approximately $3,250 in comic books each month.
But as a comic book dealer, Korey only pays $1,285 for these comic books. Korey's monthly operating expenses, including labor, are $875. Calculate Korey's monthly net income.
Answers
Answer:
Korey's monthly net income is $1090Step-by-step explanation:
The spending is the cost plus expenses:
1285 + 875 = 2160Net income is the difference of money made and spent:
3250 - 2160 = 1090How many solutions does the nonlinear system of equations below have?
Answers
Answer:
OneStep-by-step explanation:
There is only one intercepting point, it means one solution.
Can y’all help me with this math question please
Answers
Answer:
\(\angle K\)
Step-by-step explanation:
When looking for corresponding angles, compare their order in the names. Since T and K are the first letters in the names of the triangles, they correspond.
On a map of the Thunderbird Country Club golf course, 1.5 inches equals 45 yards. How long is the 17th hole if the map shows 8.5 inches?
Answers
The 17th hole would be 255 yards long.
What are ratio and proportion?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
hole = c yards
1.5 / 40 = 8.5 /c
1.5 * c = 45 * 8.5
1.5 * c = 382.5
c = 255 yards
Hence, the 17th hole would be 255 yards long.
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Andre shot three arrows and they landed at (-5,4),(-8,7),and(1,6). What is his Total score? Explain your reasoning
Answers
I've attached the graph showing the colored regions of the archery target.
The scores for the colored regions are;
Yellow: 10 points
Red: 8 points
Blue: 6 points
Green: 4 points
White: 2 points
Answer:
16
Step-by-step explanation:
From the graph, At coordinate of (-5,4), the colored region is blue which means a score of 6 points.
From the graph, At coordinates of (-8,7), the colored region is red which means a score of 8 points
From the graph, At coordinates of (1,6), the colored region is white which means a score of 2 points
Thus, total score = 6 + 8 + 2 = 16
Step-by-step explanation:
Here are the scores for landing an arrow in the colored regions of the archery target.
Yellow: 10 points
Red: 8 points
Blue: 6 points
Green: 4 points
White: 2 points
Andre shot three arrows and they landed at (-5,4),(-8,7),and(1,6). What is his Total score? Explain your reasoning
A. 14
B.16
C. 5
D 12
Answer: the answer is A. 14 i took the test and i got it wrong because i put B. 16 because of the answers of this question but the correct answer is A. 14
please correct me if i am wrong
PLEASE FIND THE ANSWER FAST!!!!
Answers
Step-by-step explanation:
(4.4)^2 = b^2 + (2)^2
(4.4)^2 - (2)^2 = b^2
root 19.36 - 4 = b
root 15.36 = b
8 root 6/5 (8 root 6 divided by 5) = b
Area of the parallelogram = b × h
= (8 root 6 divided by 5) × 4.4
= 17.24440779 cm^2
There are 1,765,000 five thousand dollar bills in circulation and 3,460,000 ten thousand dollar bills in circulation. Choose one bill at random (wouldn't that be nice!). What is the probability that it is a ten thousand dollar bill?
Answers
Answer: 0.662201
Step-by-step explanation:
Number of five thousand dollar bills in circulation = 1,765,000
Number of ten thousand dollar bills in circulation = 3,460,000
Total bills in circulation = 1,765,000 + 3,460,000 = 5225000
If one one bill is chosen at random, the probability that it is a ten thousand dollar bill will be:
= Number of ten thousand dollar bills in circulation / Total bills in circulation
= 3,460,000 / 5225000
= 0.662201
The probability that it is a ten thousand dollar bill is 0.662201.
Ms. Hart wrote the expression s – 11.
Write a sentence about a real-life situation that matches this expression.
Answers
Answer:
Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.
For the equation shown below, solve for \( y \) as a function of \( x \) and express the result in function notation. Use \( f \) for the name of the function. \[ -12 x+4 y=32 \] The function is
Answers
The function that represents the given equation is:
f(x) = 3x + 8
The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.
Adding 12x to both sides, we get 4y = 12x + 32.
To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.
Hence, the function that expresses y as a function of x is:
f(x) = 3x + 8.
Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.
In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.
Therefore, the function that represents the given equation is:
f(x) = 3x + 8
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For breakfast each day, you plan to flip a coin to decide whether to have cereal or toast. When you flip heads, you will have cereal. When you flip tails, you will have toast. Your friend predicts that you will have cereal 15 times this month. Is your friend correct? Explain your reasoning.
Answers
Answer: yes
Step-by-step explanation:
there is a 50% chance of landing on heads which means that you are statistically likely to have cereals for half a month and toast for half a month. half a month is usually 15 days so your friend is correct
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