Answer:
C(0,6)
Step-by-step explanation:
1) find the length of the base of the triangle
AB = 7-3 = 4
2) find the the height of the triangle
A = (base x height)/2
A x 2 = base x height
height = (A x 2)/base
height = (12 x 2)/4 = 6
3) find the equation of the line that passes threw the points AB
the two points have the same y so the equation of the line is
y = 0
4) use the formula of the distance between a point and a line to find C
|ax+by+c|/√a^2 + b^2 = distance
x = 0
y = 6
C (0,6)
What is the volume of this shape to the nearest tenth
Four office desks that are 4 1/8 feet long are to be placed together on a wall that is 16 5/8 feet long. Will they fit on the wall?
Madison created two functions: For function A the value of Y is two less than four times the value of X.
The table below represents Function B
In comparing the rates of change, which statement about Function A and Function B
Answer:
b. Function A has a greater rate of change than Function B has
Answer:
b. Function A has a greater rate of change than Function B has
Anna is in a cave 30 feet below the cave entrance. She descends 17 feet, then ascends 22 feet. Find her new position relative to the cave entrance.
Anna's new position relative to the cave entrance is _____
feet.
Answer:35
Step-by-step explanation:
We add or subtract from left to right to find the value of the expression:
3
Because the result is negative, she is below the cave entrance (by 35 feet).
Answer:
25 ft
Step-by-step explanation:
round 98,376 to the nearest thousand
Answer:
98000
Step-by-step explanation:
y=-3x-5
y=4x+9
What is the point of intersect between the system of equations?
Answer: (2, -1) is where they intersect.
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Where is the link to your question? I can't answer thing without a link my guy- :/
A family eats at a restaurant and leaves a tip that
increases the cost of the meal by 20%. The cost of the
meal before the tip is $41.27. How much is the cost of the
meal with the tip included?
Answer:
49.52
Step-by-step explanation:
Answer:
49.52 !!
Step-by-step explanation:
They’re correct ⬆️
I’m not sure what the answer is
Answer:
biosphere then ecosystem then community populations then organisms
the minute hans on the clock shown below has a length of 7.5 cm. which of the following is closest to the distance that the tip of the hand travels as it moves from 12 to 4
Answer:
16
Step-by-step explanation:
The following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.
Calculation of the distance:
Since the minute hans on the clock shown below has a length of 7.5 cm
And, the tip of the hand travels as it moves from 12 to 4
So,
For full rotation it should be like [tex]2\pi[/tex] radians
Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians
So
[tex]= 7.5 \times 2.094[/tex]
= 15.7 cm
Learn more about distance here: https://brainly.com/question/13448007
Find the length of FN is 20*pie ft. what is the radius round your answer to the nearest 10th
9514 1404 393
Answer:
26.67 feet
Step-by-step explanation:
The arc length is given by the formula ...
s = rθ . . . . . . where r is the radius and θ is the angle in radians
Here, the angle is 360° -225° = 135° = 3π/4 radians
Filling in the known information, we have ...
20π = r(3π/4)
r = 80/3 . . . . . divide by the coefficient of r
r ≈ 26.67 . . . . feet
if someone could please answer this question and explain how to solve it that would be so helpful.
Answer:
x=4
Step-by-step explanation:
x=4
Step-by-step explanation:
first subtract 4 from both sides of the equation 2x+4-4=12-4
simplify 2x=8
divide both sides of the equation by the same term
2x=8
2 2
cancel the terms that are in the numerator and denominator then decide the numbers
x=4
The ratio of yellow blocks to red blocks is 3:5, and the ratio of blue blocks to red blocks is 7:2.
What is the ratio of yellow blocks to blue blocks?
=========================================================
Explanation:
The ratio of yellow to red is 3:5. This could mean we have any of the following situations (pick one):
3 yellow, 5 red6 yellow, 10 red9 yellow, 15 redand so on. In general, we would have 3x yellow blocks and 5x red blocks. The ratio 3x:5x reduces to 3:5 when dividing both parts by x. The x is some positive whole number. The order is important because yellow must be listed first, then red second.
The same idea applies to the other ratio 7:2, which is the blue to red. In that case, we could have...
7 blue, 2 red14 blue, 4 red21 blue, 6 red28 blue, 8 red35 blue, 10 red42 blue, 12 redand so on. Notice that items in bold (in each list) have "10 red" as part of it. This is directly from the fact we multiply the 5 and 2 to get 5*2 = 10.
So we can connect the two ratios to have: 6 yellow, 10 red, 35 blue.
The ratio of yellow to blue is 6:35. This is the final answer. We cannot reduce this ratio any further due to 6 and 35 having no common factors other than 1. It's the same as saying the fraction 6/35 can't be reduced further.
Write an equation of a line with slope -4 and y- intercept of 0
Answer:
y=-4x
Step-by-step explanation:
Given that 3x - 8y = 28
Find y when x = 9
Give your answer as a fraction in its simplest form
Answer:
y = -1/8
Step-by-step explanation:
substitute 9 in for x in the equation
3(9) - 8y = 28
27 - 8y = 28
-27 from both sides to get
-8y = 1
divide both sides by -8
y = -1/8
Rewrite the expression 7x^2 + 7x - 42 as THREE factors where one of the factors is an integer value.
========================================
Explanation:
First factor out the GCF 7
7x^2 + 7x - 42
7*x^2 + 7*x + 7*(-6)
7(x^2 + x - 6)
Now focus on factoring x^2+x-6
We need to find two numbers that multiply to -6 and add to 1. Those values are 3 and -2. That means x^2+x-6 factors to (x+3)(x-2).
The 7(x^2 + x - 6) then turns into 7(x+3)(x-2)
The factor out front, the "7", is the integer factor. The other factors (x+3) and (x-2) are binomial factors.
7, (x + 3), and (x - 2) are the three factors of the given expression.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
We can factor out the common factor of 7 from the given expression to get:
[tex]7(x^2 + x - 6)[/tex]
Now, we need to factor the quadratic expression x^2 + x - 6. We can do this by finding two numbers that multiply to -6 and add to 1 (the coefficient of x).
The two numbers are 3 and -2, since 3 x -2 = -6 and 3 + (-2) = 1.
So we can write [tex]x^2 + x - 6[/tex] as (x + 3)(x - 2).
Substituting this back into the expression we have:
[tex]7(x + 3)(x - 2)[/tex]
Therefore, the three factors are 7, (x + 3), and (x - 2).
Learn more about expression here:
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find the volume of the prism
Answer:
The volume is: [tex]135m^3[/tex]
Step-by-step explanation:
Given
[tex]h = 5m[/tex] ---- height
[tex]l=9m[/tex] -- length
[tex]w = 6m[/tex] --- width
Required
Determine the volume (V)
The volume of a triangular prism is:
[tex]V = 0.5lwh[/tex]
So, we have:
[tex]V = 0.5 * 5m * 9m * 6m[/tex]
[tex]V = 135m^3[/tex]
Plz help me well mark brainliest if you correct!!.....
Answer:
Option D, 8
Step-by-step explanation:
absolute value of -5 = 5
absolute value of 3 = 3
Therefore,
5 + 3 = 8
Hope this helps!
The value of all of the quarters and dimes in a parking meter is $6. There are twice as many quarters as dimes. What is the total number of dimes in the parking meter?
Answer:
subject?
Step-by-step explanation:
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 and a standard deviation of $290. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Answer:
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $2,275 and a standard deviation of $290.
This means that [tex]\mu = 2275, \sigma = 290[/tex]
Sample of 65:
This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]
Finding the mean to be at least $2,095 per month
This is 1 subtracted by the p-value of Z when X = 2095. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
twice y is at most 29
Answer:
2t=29
Step-by-step explanation:
the phrase is at most means we set the constant 29 less than or equal to the term 2t using the (<=) operator
The expression below represents the distance between two points on a number line.
|-5 – 4|
Which number line shows the two points?
Answer:
A
Step-by-step explanation:
|-5 - 4|
The expression represents the absolute value of - 5 - 4 ;
-5 - 4 = - 9
|-5-4| = 9
Hence, the distance between the two points is 9.
Hence, the number line which shows the two points is A.
When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level. Required:
a. Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.
b. Suppose that when the reactor is first shut down, the radiation level is 3 × 1017 units. After 60 s the level has dropped to 5.6 × 1013 units. Write the particular equation.
c. Sketch the graph of radiation level versus time.
d. It is safe to enter the reactor compartment
when the radiation level has dropped to
7 × 10–3 units. Will it be safe to enter the reactor compartment 5 min after the reactor has been shut down? Justify your answer.
Answer:
hold on ill edit this once i get answer!! <3
Step-by-step explanation:
pls help!! person with correct answer will be marked brainliest
Answer:
X= 14
The acute angle measures 34 degrees.
The obtuse angle measures 146 degrees.
Step-by-step explanation:
To solve this question, start by solving for x. In order to solve for x, know that angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle. A supplementary angle is an angle in which the sum of two angles equal 180 degrees.
Since angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle, we know that the sum of the two angles equal 180 degrees. To find x, write an equation that sets angle (10x+6) degrees and angle (3x-8) degrees equal to 180 degrees. The equation will look like (10x+6) + (3x-8) =180. To start solving the equation, combine like terms, which will look like 13x-2=180. Next, add 2 to both sides, and the equation will look like 13x = 182. Then, divide both sides by 13, and x will equal 14.
Since the x is now known, the actual degrees of the angles can be found. To find the actual degrees of both angles, start by plugging 14 into each angle equation.
For 10x+6, plug 14 into x, and the equation will look like 10(14)+6. Next, simplify the equation, and the answer will be 146 degrees. The 146 degrees is the obtuse angle because an obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
For 3x-8, plug 14 into x, and the equation will look like 3(14)-8. Next, simplify the equation, and the answer will be 34 degrees.The 34 degrees is the acute angle because acute angles measure less than 90 degrees.
To check if the angles are correct, add both angles, and the answer will equal 180 degrees, which then makes them supplementary angles.
The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175. Use c for the number of code books and f for the number of flashlights. What is the equation of the second inequality? *
Answer:
The second inequality is 2c + 5f ≤ 175
Step-by-step explanation:
Given - The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175.
To find - What is the equation of the second inequality?
Proof -
Let us assume that,
The number of code books = c
The number of flashlights = f
So,
Given that, She needs at least 50 of a combination of code books and flashlights
⇒ c + f ≥ 50
Now,
Given that, Each code book costs $2 and each flashlight costs $5.
So,
Cost of c code books = 2c
Cost of f flashlight = 5f
And Given, The budget for escape room supplies is no more than $175.
⇒2c + 5f ≤ 175
∴ we get
The second inequality is 2c + 5f ≤ 175
Degree and Radian Measures
Convert the given radian measure to a degree measure.
1.2 /pi (π)
a. -216°
b. 108°
c. 216°
d. -108°
Please select from the best choices provided
Answer:
C. 216°
Step-by-step explanation:
I calculated it logically
A drawer contains black socks and white socks. A person randomly selects two socks without replacement. The probability of selecting two black socks is 120703 and the probability of selecting a black sock on the first draw is 819. What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
Answer:
0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Black sock on the first draw.
Event B: Black sock on the second draw.
The probability of selecting a black sock on the first draw is 8/19.
This means that [tex]P(A) = \frac{8}{19}[/tex]
Black socks on both draws:
The probability of selecting two black socks is 120/703
This means that [tex]P(A \cap B) = \frac{120}{703}[/tex]
What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(B|A) = \frac{\frac{120}{703}}{\frac{8}{19}}[/tex]
[tex]P(B|A) = \frac{120}{703}*\frac{19}{8}[/tex]
[tex]P(B|A) = \frac{120*19}{703*8}[/tex]
[tex]P(B|A) = 0.4054[/tex]
0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
20 points and brainiest
Mark wants to invest his money in a bank account and has been presented with two options.
Time of Deposit Year 1 Year 2 Year 3 Year 4
Account A $1000 $1100 $1200 $1300 $1400
Account B $1000 $1100 $1210 $1331 $1464.10
Part A: Which account is linear? Which is exponential?
Part B: Which account is the better investment? Why?
Part C: Write an equation to model each of the accounts.
Which of the following choices demonstrates the converse of the Pythagorean theorem correctly? (Assume that angle C is the right angle in the triangle ABC. a, b, c stands for side lengths BC, AC, and AB respectively)
A) If a2 + c2= b2, it’s a right triangle
B) If c2 + b2=a2, it’s a right triangle
C)If a2 + b2=c2, it’s a right triangle
D) None of the above.
PLEASE HELP
Which line is a linear model for the data?
THIS ISNT MY ANSWER
Answer:
The upper left
Step-by-step explanation: