Answer:
two thirds
Step-by-step explanation:
I think that's the answer
Suppose y varies inversely with x. Write an equation if y=7 when x=-4
Answer:
y = -28 ÷ x
Step-by-step explanation:
The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = 7 when x = -4 and y varies inversely with x.
So we substitute the values y = 7 and x = -4 in the equation y = k ÷ x
K = constant, we have to work this out
7 = k ÷ -4
7 × - 4 = k
k = - 4 × 7
k = -28
k = -28 So then we put this back into the original y = k ÷ x to find our final equation which is y = -28 ÷ x
What is the greatest common factor of 7 21 and 70
Answer:
1470
Step-by-step explanation:
I am pretty sure that this is the answer.
Tell me if i am wrong.
Can I get brainliest
Solve x2 − 24x = −80 by completing the square.
What is the solution set of the equation?
{2, 40}
{4, 20}
{5, 16}
{8, 10}
Answer:
{4, 20}
Step-by-step explanation:
x2 − 24x = −80
divide -24 by 2 and square result get 144
x^2 - 24x + 144 = -80 + 144
(x - 12)^2 = 64
x - 12 = root (64)
x = 12 + 8 or x = 12 - 8
x = 20 or 4
The solution set of the considered quadratic equation x^2 − 24x = −80 is given by: Option B: {4,20}
What is completing the squares method for solving the quadratic equations in one variable?The method "completing the squares", as per the name suggests, try to make the quadratic equation of the form such that the x variable is totally covered in single squared term, as the square of a linear expression in x.
The quadratic equation would look something like:
(px + q)^2 = s
where p, q and s are some constants.
We do so, so that we can then use square root and some other operations to get the variable 'x' on one side of the equation, and all the constants on the other side, being solution of the considered quadratic equation.
Expressing the quadratic equation in such form converts the form of the equation which contains 'x' with different powers in different term to a form which contains 'x' single time.
What is the expansion of square of sum of two terms?Suppose that two terms are 'a' and 'b'.
Then, their sum's square is expanded as:
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
For this case, the equation considered is :
[tex]x^2 -24x = -80[/tex]
Comparing the left side with [tex]a^2 + 2ab + b^2[/tex], we see that we can use a = x.
Let we try to make the considered equation look more like the equation [tex]a^2 + 2ab + b^2[/tex] .
[tex]x^2 -24x = -80\\x^2 -2(12)x = -80\\x^2 -2(12)x + 12^2 -12^2 = -80\\x^2 -2(12)x + 12^2 = -80 + 12^2 = 64\\[/tex]
Now, we can use [tex](a+b)^2 = a^2 + 2ab + b^2[/tex] for the left sided expression, as shown below:
[tex]x^2 -2(12)x + 12^2= 64\\\\(x-12)^2 = 64[/tex]
Taking square root, we get:
[tex]\sqrt{(x-12)^2} = \sqrt{64}\\\\(x-12) = \sqrt{(\pm 8)^2} = \pm 8\\or\\\\x = 12 \pm 8\\x = 12+8, x = 12-8\\x = 20, x = 4[/tex]
Thus, the solution set of the considered quadratic equation x^2 − 24x = −80 is given by: Option B: {4,20}
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Consider the reflection of parallelogram PQRS across
the line of reflection,
If RR' = 14, then RZ = 7
If SX = 5, theny = 5.
Answer:
7
XS
Step-by-step explanation:
100% on edge
The reflection of parallelogram PQRS across the line of reflection is 7 XS.
Parallelogram:A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. The Euclidean parallel postulate or one of its equivalent formulations must be used in order to demonstrate the congruence of opposed sides and opposite angles because both conditions are a direct result of this postulate.In contrast, a quadrilateral with only one set of parallel sides is referred to as a trapezoid or trapezium in British or American English.The parallelepiped is a parallelogram's three-dimensional equivalent.
Therefore, the correct answer to the question is 7 XS.
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Gwendelyn, who is a witch, went on an international witch tour. The following table shows the number of spells that she cast in each country.
Country Number of spells
Brazil 111
Argentina 555
Russia 555
Australia 111
Find the mean number of spells cast.
spells
Answer:
the answer is 3
Step-by-step explanation:
Answer: If this is for khan academy the mean is three. :D
Step-by-step explanation:
A father who is 42 years old has a son and a daughter. The daughter is three times as old as the son. In 10 years, the sum of all their ages will be 100 years. How old are the two siblings at present?
Answer:
son is 7 daughter is 21
Step-by-step explanation:
Which graph represents the function f (x) = StartFraction 2 x Over x squared minus 1 EndFraction?
Answer:
Step-by-step explanation:
f(x) = 2 / (x^2 - 1) is better written as
2
f(x) = ------------------
(x - 1)(x + 1)
This is undefined at x = -1 and x = 1; there are vertical asymptotes at x = -1 and x = 1.
The y-intercept is found by letting x = 0; we get
2
f(x) = ------------------ = -2 => (0, -2)
(0 - 1)(0 + 1)
Please, next time, share the answer choices. Thank you.
By analyzing the asymptotes we can find the graph of the rational function. Also a graph is provided below.
Which graph represents the function?We have the rational function:
f(x) = (2x)/(x^2 - 1).
First, you can see that we have two zeros on the denominator. One happens when x = 1 and the other when x = -1.
This means that the graph of this function will have two vertical asymptotes at these values. (four actually as we have one going to each end in each point).
With that description we can find the graph of the function, I will also post it so you can recognize it.
If you want to learn more about rational functions, you can read:
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A jar contains five blue marbles and three red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble. Find the probability of the following event.
Both of the selected marbles are red.
Answer:
The probability that both of the selected marbles are red is [tex]\frac{3}{28}[/tex]
Step-by-step explanation:
Given
Number of red marbles = 3
Number of blue marbles = 5
Required
Probability of selecting two red marbles (without replacement).
First, we need to get the total number of marbles
Total = Red Marbles + Blue Marbles
Total = 3 + 5
Total = 8
Probability is calculated by: Number of required outcome divided by number of possible outcome.
Since there are 3 red marbles out of a total of 8 marbles;
The probability that the first marble you selected is red is 3/8
From the question, you didn't return the marble back to the container.
This means that, there are 2 red marbles and a total of 7 marbles left in the container.
So, the probability that the next marble selected is red is 2/7
Let P(R and R) represent the probability of selecting two red marbles.
This is calculated by multiplying the probability of picking the first red marble and the second red marble.
Hence,
P(R and R) = [tex]\frac{3}{8} * \frac{2}{7}[/tex]
P(R and R) = [tex]\frac{6}{56}[/tex] --- Reduce to lowest term
P(R and R) = [tex]\frac{3}{28}[/tex]
Hence, the probability that both of the selected marbles are red is [tex]\frac{3}{28}[/tex]
What is the height, h, of one of the triangles?
4 ft
8 ft
7 ft
14 ft
Answer:
4 ft
Step-by-step explanation:
the width of two triangles is given as 8 just divide by 2 since answer is asking for only one triangle
Answer:
4
Step-by-step explanation:
Divide 8 by 2.
There are 14 apples in a basket. 8 of these are green. The rest of them are red. (a) what is the ratio of green apples to red apples? (b) what is the ratio of red apples to all apples in the basket?
6:8 - 6 red apples to 8 green apples. 1:1.33 - 1 red apple for every 1.33 green apples. 43% of the apples are red and 57% of the apples are green.
Final answer:
The ratio of green apples to red apples is 4:3, and the ratio of red apples to all apples in the basket is 3:7 after simplification.
Explanation:
To solve the student's question:
First, we find the ratio of green apples to red apples. There are 14 apples in total, 8 of which are green, so 14 - 8 = 6 red apples. The ratio of green to red apples is therefore 8:6, which can be simplified by dividing both sides by 2, resulting in a simplified ratio of 4:3.
Next, we calculate the ratio of red apples to all apples in the basket. Since there are 6 red apples and 14 apples in total, the ratio is 6:14, which simplifies to 3:7 when both sides are divided by 2.
Therefore, the answer for part (a) is a ratio of 4:3, and for part (b) is a ratio of 3:7.
Number of solutions of quadratic equations
The number is always 2, the type depends on the discriminant.
How to find the number of solutions of a quadratic equation?For a general quadratic equation:
ax² + bx + c = 0
We can define the discriminant as:
D = b² - 4ac
And we can have 3 cases:
if D > 0, the quadratic equation has 2 real solutions.
if D = 0, the quadratic has two (equal) real solutions.
if D < 0, the quadratic has 2 complex solutions.
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Helppppppppppp please am struggling
Answer:
x = 60°
Step-by-step explanation:
The circle is 360°, thus
2y + y = 360
3y = 360 ( divide both sides by 3 )
y = 120°
The tangent- secant angle ABT is one half the measure of the intercepted arc AB, thus
x = 0.5 × 120° = 60°
Veronica wants to multiply
23×15\dfrac23\times15
3
2
×15
start fraction, 2, divided by, 3, end fraction, times, 15
. So, she puts
1515
15
15
triangles into
33
3
3
equal-sized groups.
What is
23\dfrac23
3
2
start fraction, 2, divided by, 3, end fraction
of
15? 15?~~
15? will give branlest!
Answer:2737t
Step-by-step explanation:
Answer:
2/3 0f 15 equals 10
Step-by-step explanation:
We see a set of 151515 triangles. The set is split into 333 equal sections, or thirds.Hint #22 / 3To find 2332start fraction, 2, divided by, 3, end fraction of 151515, we can shade 222 thirds. How many triangles are shaded?Three rows of fifteen identical triangles. Lines divide the triangles into 3 groups with 5 triangles each. All 5 triangles in the first group and all 5 triangles in the second group are shaded.1010start color #7854ab, 10, end color #7854ab triangles are shaded.
If the interest rates are the same on a CD, which compounding pays more interest?
annually
semi-annually
monthly
quarterly
The CD that compounds more frequently will pay more interest; thus, monthly compounding yields more interest than quarterly, which in turn is more than semi-annually, with annual compounding paying the least.
Explanation:When comparing the different compounding frequencies for a Certificate of Deposit (CD) with the same annual interest rate, the compounding option that pays more interest is the one that compounds more frequently. Compounding can occur on an annual, semi-annual, quarterly, or monthly basis. The more frequently the interest is compounded, the greater the amount of interest will be earned because each compounding period, the interest is calculated on the initially invested amount plus the previously earned interest.
For example, if interest is compounded monthly, it will be compounded 12 times a year, and each month's interest will begin to earn interest in subsequent months. Similarly, if interest is compounded quarterly, it will be compounded 4 times a year, and semi-annually compounding will occur twice a year. The least frequent is annually compounding, with only one compound per year.
Therefore, the CD that compounds monthly will pay the most interest, followed by the one that compounds quarterly, then semi-annually, and the least will be the CD that compounds annually, assuming the nominal interest rate is the same for all.
If a car used 250.000 W of power to complete a race in 12 s. how much work did the car do?
Answer:
300000
Step-by-step explanation:
Answer: 3,000,000
Step-by-step explanation:
What is the center of the circle given by the
equation (x + 17)2 + (y − 4)2 = 23?
A. (−4, 17)
B. (−17, 4)
C. (17, −4)
D. (4, −17)
Answer:
B. (−17, 4)
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x + 17)^2 + (y − 4)^2 = 23
(x - -17)^2 + (y − 4)^2 = ( sqrt (23))^2
The center is (-17,4) and the radius is (sqrt(23)
A region with a 15-mile diameter has a population density of about 5000 people
per square mile. Find the number of people who live in the region.
Answer:
Approximately 883,572 people
Step-by-step explanation:
I'm assuming the region is a circle.
The formula for finding the area of a circle is A=πr².
Since we know that the diameter of the region is 15 miles, and a diameter is 2 times the radius, the radius must be 7.5 miles. We also know that π is equal to 3.14159265359.
A=πr²
A= 3.14159265359×7.5²
A= 3.14159265359×56.25
A= 176.714586764
The region has an area of 176.714586764 square miles.
176.714586764×5000=883572.933822
We can round this number to the nearest whole, but since we cannot have part of a person, the answer is approximately 883,572 people.
Final answer:
To find the number of people who live in a region with a 15-mile diameter and a population density of 5000 people per square mile, we can calculate the area of the region and then multiply it by the population density.
Explanation:
To find the number of people who live in the region, we need to calculate the area of the region and then multiply it by the population density. The region has a 15-mile diameter, so the radius is half of that, which is 7.5 miles. The formula for the area of a circle is A = πr^2, where π is approximately 3.14. Plugging in the values, the area of the region is A = 3.14 × (7.5)^2 = 176.625 square miles.
Next, we multiply the area by the population density of 5000 people per square mile: 176.625 × 5000 = 883,125 people.
Therefore, there are approximately 883,125 people who live in the region.
Add the polynomials (4x+11)+(12x+2)
Answer:
16x + 13
Step-by-step explanation:
(4x + 11) + (12x + 2)
combine like terms (add the x's and add the numbers)
4x + 12x = 16x
11 + 2 = 13
(4x + 11) + (12x + 2) =
16x + 13
Which number has the least absolute value? A) 30 B) 10 C) −20 D) −40
Answer:-40
Step-by-step explanation:
Because that means below 0
Answer:
10
Step-by-step explanation:
The probability that teddy wins a certain game of chance is 1/4.If teddy plays the game 120 times how many times can he expect to win the game
Answer:
30
Step-by-step explanation:
1/4 of 120 is 30
therefore he can expect to win the game 30 times
Six students eat 6 apples in 33 seconds. How long will it take nine students to eat 19 apples, if they don't cut apples into parts?
Answer:
99
Step-by-step explanation:
It takes each student 33 seconds to eat an apple. This is done in parallel.
The time it would take if each person ate the exact same amount of apples is 69.6 repeating (calculated by (19 * 33) / 9). However, the apples cannot be cut into parts, so we need to round up to the next multiple of 33. Therefore 99 is the answer.
The probability of Sandy flipping a coin twice and getting heads both times is 0.250.250, point, 25. The probability of John's spinner stopping on the color red is \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction.
Which of these events is more likely?
Answer:
they are the same.
Step-by-step explanation:
Both have a 1/4 chance
Answer:
THE are all the same they all hae 1/4 chance
Step-by-step explanation:
I am pretty sure this will help =)
mark me brainliest =)
Have agreat day :)
Clarence made a scale drawing of a classroom. The scale in the drawing is 2 inches represents
9 feet. The actual length of the classroom is 36 feet. What is the length of the classroom on the
scale drawing?
A4 inches
B 8 inches
OC 27 inches
OD 162 inches
Answer:
The answer is B
Step-by-step explanation: The reason for this is you know that 2 in = 9ft so you multiply 9 to get 36/ the height of the classroom. The times you multiply is by equal to it by you multiply by 2 because 2= 9ft not 1=9ft so you take 4 and multiply by 2 and you get 8.
Answer:
B) 8 inches
Step-by-step explanation:
Since the scale of the drawing is 2:9, we will then make this into two fractions that equal each other to make this easier. To do this we will make the ratio 2:9 into a fraction being 2/9. Then we will make the missing value which is the length of the calssroom on the scale drawing over the actual length of the classroom which is 36. We will then make the fractions equal each other. 2/9 = x/36. We can either cross multiply ( 2 x 36 and 9 * x) or we can make the denominators the same. I am going to make the denominators the same. The equation will then look like this: 8/36=x/36. Now we know the value of x is 8. This makes the answer B) 8 inches.
Based on the angle measures in the diagram, what is the value of x?
Answer:
32°
Step-by-step explanation:
Since the outer angle is 99°, the interior angle must be 180° - 99°. That is 81°. We then do the same for the outer angle 113°. So 180° - 113° is 67°. Since the angles of the interior angles must equal 180°, we add 81° and 67°. That equals 148°. Now to figure out x, 180° - 148° is 32°. I hope this helps! Please mark me brainliest!
the value of the discriminant x2 + 6x + 9 = 0
Answer:
X=-3
Not sure if you meant finding the ‘x’ but it would be this
Step-by-step explanation:
am i correct? will mark brainliest
Answer:
no, its 11 for the first one and 45 for the second
Step-by-step explanation:
Answer:
No 16 is 11 and 17 is 45%
Could you heart me and mark me ect.
A safe has a 4 digit lock code that does not include zero as a digit and no digit is repeated what is the probability that the lock code consist of all even digits
to find the total number of outcomes for this event find a permutation of ____ things taken 4 at a time
The total number of outcomes is ___
The total number of favorable outcomes is a permutation of ____ things taken 4 at a time
The probability that the lock code consists of all even digits is _____ out of 3,024
Answer:
3
4
5
Step-by-step explanation:
Answer:
9, 3024, 4 and 24
Step-by-step explanation:
much love
The polynomial x3 + 4x2 - 9x - 36 has 4 terms.
Use factoring by grouping to find the correct
factorization
Answer:
x2(x+4)-9(x+4)
Step-by-step explanation:
=(x2-9)(x+4)
Answer: D or (x²– 9)(x + 4).
The next one is A (difference-of-squares)
The last one is C (x + 3)(x – 3)(x + 4)
Step-by-step explanation: Edge '21
WILL MARK BRAINLIEST Point A' represents the reflection of point A across the y-axis. Which coordinate pair represents the location of point A before the
transformation?
A.(3.-6)
B.(-3,-6)
C.(3,6)
D.(6,3)
Answer:
its -3 6 i got it worng
Step-by-step explanation:
Convert:
61⁄2 feet = how many inches
Answer: 78 inches
Step-by-step explanation: looked it up on google
Answer:
78 inches
explanation:
Because one foot equals 12 inches