Answer:
D
Step-by-step explanation:
The midpoint is the average of the 2 endpoints, that is
midpoint = [tex]\frac{-7+12}{2}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5 → D
the sum of 5 consecutive even numbers is 130. find the numbers.
Answer:
22, 24, 26, 28, 30
Step-by-step explanation:
If the sum of 5 numbers is 130, that means the average of these numbers is 26.
If it is the average then it is the middle, or the third number. The two numbers before it would then be 22 and 24 by subtracting twos, and the two numbers after it would be 28 and 30 by adding twos.
22, 24, 26, 28, 30
Answer:
22,24,26,28,30
Step-by-step explanation:
I call the unknown number x
I write consecutive numbers in terms of x.
x+ (x+2) + (x+4) + (x+6) + (x+8) = 130
5x + 20 = 130
5x = (130 - 20)
5x = 110
x = 22 = smallest even number
x + 2 = 24 = second even number
x +4 = 26
x + 6 = 28
x + 8 = 30
I need help ASAP!!! Please explain how to solve the problem I am stuck
Answer:
( x - 11 )^2 + ( y - 5 )^2 = 4^2
Step-by-step explanation:
The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
h and k are the co-ordinates of the center of circle and r is the radius
We have,
r=4
(h,k)=(11,5)
( x - h )^2 + ( y - k )^2 = r^2
or, ( x - 11 )^2 + ( y - 5 )^2 = 4^2
If you simplify,
x^2-22x+121+y^2-10y+25=16
or, x^2+y^2-22x-10y+146-16=0
or,x^2+y^2-22x-10y+130=0
Answer:
( x - 11 )^2 + ( y - 5 )^2 = 4^2
Step-by-step explanation:
A manufacturing plant earned 4000 pesos per man-hour of labor when it opened. Each year, the plant earns an additional 6% per man-hour. What expression gives the amount the plant earned per man-hour of labor 3 years after it opened?
Answer:
866.16??????
Step-by-step explanation:
The amount is 4,494.40 plant earned per man-hour of labor 3 years after it opened.
It is required to find the amount the plant earned per man-hour of labor 3 years after it opened.
What is a geometric sequence ?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant. where r is the common ratio between successive terms.
Given:
A manufacturing plant earned 4000 pesos per man-hour of labor.
Rate= 6% per man-hour.
Time=3 years
We can consider the geometric sequence formula
[tex]A_{n} = A_{1} r^{n-1}[/tex]
[tex]A_{1}[/tex]= 4000
r = 1.06/1 = 1.06
n = 3
Substitute:
[tex]A_{3} = 4000(1.06)^{3-1} \\A_{3} = 4000(1.06)^{2}\\A_{3}= 4000(1.1236)\\A_{3} = 4,494.40[/tex]
Therefore, the amount is 4,494.40 plant earned per man-hour of labor 3 years after it opened.
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Find the missing value.
Hint: Use the number line to find the missing value.
-(-7)=5
{ #
-15
→
15
-10
-5
0
5
10
Answer:
= -2
Step-by-step explanation:
-2 -(-7)
= 5
I hope this Helps!Solve this for me please it would be very much appreciated
Answer:
x= 8
Step-by-step explanation:
Right angled triangle :
Use Pythagorean theorem,
Base² + altitude² = hypotenuse²
x² + ( 2x - 1)² = (2x +1)²
(2x + 1)² - (2x-1)² -x² = 0
[tex]\boxed{(a+b)^{2}-(a-b)^{2}=4ab}[/tex] {here, a = 2x and b = 1}}
4*2x*1 - x²= 0
8x - x² = 0
x(8 - x) =0
x = 0 {Ignore} or 8 - x= 0
-x = -8
x = 8
x = 8
In the figure below j ll h find the values of x and y
Answer:
26
Step-by-step explanation:
Given: Lines J and H are parallel lines. O intersects both lines equally.
Since two angles equal 180, that will be what (4y + 12) and 64 will be equal to.
(4y + 12) + 64 = 180
76 + 4y = 180
-76 -76
-------------------
4y = 104
y = 26
x and y is both 26 because they are vertical angles.
Hope this helped.
Elsa draws an angle that measures 56. Tristan draws a congruent angle.
Tristan says his angle is obtuse. Is he correct? Why or why not
Answer:
False
Step-by-step explanation:
If an angle is congruent, it means that the angle is equal to the first angle which is 56 degrees, in theory, it would be false because 56 degrees is an acute angle and not obtuse.
please help me guys its important
Answer:
1441.08in^3
Step-by-step explanation:
Is there a way to solve this without l'hopital's rule?
The conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule,
How to solve the limit expression?The limit expression is given as:
[tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex]
The limit of the expression cannot be solved without l'hopital's rule, because a direct substitution of ∞ for x would result in the following expression ∞/∞
i.e.
[tex]\lim_{x \to \infty} \frac{6 (2^{\infty}) - 1}{5(\infty)^2+ 10} = \frac{\infty}{\infty}[/tex]
So, the best way is to apply the l'hopital's rule.
This is done as follows:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \lim_{x \to \infty} \frac{f'(x)}{g'(x)}[/tex]
When the numerator and the denominator are differentiated, we have:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln(2)\cdot 2^{x + 1}}{10x}[/tex]
Further, differentiate
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{x + 1}}{10}[/tex]
Now, we can substitute [tex]\infty[/tex] for x
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{\infty + 1}}{10}[/tex]
Evaluate the numerator
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{\infty}{10}[/tex]
Evaluate the quotient
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \infty[/tex]
Hence, the conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule
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At a breakfast buffet, 63% of people choose coffee for their beverage while 23% choose juice,
Also, 20% choose both coffee and juice. What percentage of people chose coffee only
The percentage of people who chose only coffee will be 43%.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
At a breakfast buffet, 63% of people choose coffee as their beverage while 23% choose juice.
Also, 20% choose both coffee and juice.
Then the percentage of people who chose only coffee will be given by the difference of 63% and 20%.
⇒ 63% - 20%
⇒ 43%
Thus, the percentage of people who chose only coffee will be 43%.
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If the graph of y=|x| is translated so that the point (1,1) is moved to (4,1) what is the equation of the new graph?
This question is solved using translation concepts, and doing this, it is found that the equation of the new graph is:
[tex]y = |x - 3|[/tex]
--------------------------
When a function f(x) is translated a units to the left, we get f(x - a).
--------------------------
In this question:
The original function is [tex]y = |x|[/tex]
Point (1,1) is moved to (4,1), that is, 3 is added to the x-coordinate, meaning that the function was shifted 3 units to the left.
Thus, the new equation is:
[tex]y = g(x) = f(x - 3) = |x - 3|[/tex]
A similar question is given at https://brainly.com/question/23602866
If f(x) = x2 - 4x and f(-3), then the result is:
o -3.
O 21.
0 -21.
Answer:
answer is 6
Step-by-step explanation:
f(x) = x2 - 4x
f(-3)= -3*2-4*-3
=-6-(-12)
=6
Find the distance between the pair of points.
(7, 3) and (-6, -4)
A. 2.4
B. 11
C. 1.4
D. 14.8
What are m/_EFG and m/_GFH
Answer:
m/_EFG= -5 and m/_GFH= 5
Step-by-step explanation:
set the linear equations equal to eachother so that it looks like
2n+23=3n+37 then you have to combine like terms by rearranging the equations. you move the numbers by canceling them out. and what you do to one side must be done to the other. after you do this the equation should look like this.
2n - 3n = -23 + 37
then finish combining the terms
-1n = 14
then divide to get -14
the final step is to plug -14 back into your original equations in the place of n. then you solve to get your answer.
2 x -14 + 23 = -5 and 3 x -14 + 37 = 5
A pet shop owner buys large bags of dry cat food that contain 10kg. He wants to make up bags that contain 200g of cat food. How many 200g bags of cat food can he make from one large bag?
Answer:
50 bags
Step-by-step explanation:
1 kg = 1000 grams
10 kg * 1000g/ 1kg = 10000 g
Divide 10000 grams by 200 g
10000g / 200g = 50
What do you think happens to the graph
of f(x) = x2 if we multiply it by 3? Make a
guess. It undergoes a ...
I
A. Vertical Stretch
B. Vertical Shrink
Answer:
b. vertical shrink
Step-by-step explanation:
What x 1/4 = 2
? X 1/4 = 2
It’s an equation
traders fix the price of cosmetic items 30% above the cost price when he sold an item at 25% discount there was a loss of Rs 15 find the cost price and marked price of the item
Cost price is Rs600 and marked price is Rs780.
Must click thanks and mark brainliest
factorise the following 1. x²-2x+15.... 2. y²-19y+90
Answer:
1. x²-2x+15
This can't be factored, I've tried multiple ways now, but it just can't be factored.
2. y²-19y+90
Let's factor y^2−19y+90
y^2−19y+90
The middle number is -19 and the last number is 90.
Factoring means we want something like
(y+_)(y+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -19
Multiply together to get 90
Can you think of the two numbers?
Try -9 and -10:
-9+-10 = -19
-9*-10 = 90
Fill in the blanks in
(y+_)(y+_)
with -9 and -10 to get...
(y-9)(y-10)
Answer:
(y−9) (y−10)
the product of the product of 7 and 2 and the product of 8 and p
Answer:
((7*2)*(8p))
Step-by-step explanation:
The product of 7 and 2 basically means you multiply them. The product of 7 and 2 is 14 and the product of 8p cannot be known because p is undefined so keep it as 8p. the product of 14 and 8p is 112p but the answer I stated above is the unsimplified version.
2.
three vertius of sect. A B C D are A (2, 2), B (-3,2), ((
Plot those point and find the quad of D and find the area
of dood. ABCD.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option C, 93.6 mi³
Step-by-step explanation:
Volume of the triangular prism,
(8×3.9/2)×6
= 93.6 mi³
There is a sequence of rigid transformations that takes A to A', B to B', and C to "
same sequence takes D to D'. Draw and label D':
Answer:
I think it's D
Step-by-step explanation:
Answer: I think its D
Step-by-step explanation:
Rigid transformation moves a shape without changing the size of the shape.
See attachment for the diagram that shows the position of D'
You invest $5000 into an account that has a 2.7% annual interest rate and is compounded quarterly. Approximately how long will it take until you have $7,500 in your account?
Since the interest is compounded, we will have to use the compound interest formula.
We Weill plug 7500 in for A, because that's the amount of money that we want to have at the end of some amount of time.
5000 will go in for P because that's the starting amount.
2.7% will be converted into a decimal percentage form. You can do this by dividing by 100, which you will get .027, and then plug that in for r, the rate.
Since the interest is compounded quarterly, n = 4.
After a bit of number crunching, you will get to the point where you have to solve for an exponent. You can easily do this by using the natural log ln(). One property of logarithm is that you can take the exponent and place it in front of the log. Now you can divide both sides to separate and solve for t.
It take 10.5 years for the investment to grow to $7,500 in the account with a 2.7% annual interest rate compounded quarterly.
Given:
P = $5000
r = 2.7% = 0.027 (as a decimal)
n = 4 (quarterly compounding)
A = $7500
The formula for compound interest:
[tex]\[ A = P\left(1 + \frac{r}{n}\right)^{nt} \][/tex]
Substituting these values into the formula
[tex]\[ 7500 = 5000\left(1 + \dfrac{0.027}{4}\right)^{4t} \][/tex]
Dividing both sides of the equation by $5000, we have:
[tex]1.5 = (1.00675)^{(4t)[/tex]
Assuming a natural logarithm (ln), we have:
ln(1.5) = [tex]ln((1.00675)^{(4t))[/tex]
Using the logarithm property,[tex]ln(a^b) = b * ln(a)[/tex], simplify the equation:
[tex]ln(1.5) = 4t * ln(1.00675)[/tex]
Now, dividing both sides of the equation by 4 * ln(1.00675):
t = ln(1.5) / (4 * ln(1.00675))
t = 10.5 years.
Therefore, it will take 10.5 years for the investment to grow.
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I need help ASAP!!!Please explain your answer
Answer:
Step-by-step explanation:
V = B * h
B = pi r^2
r = 12 km
B = 12^2 * pi
B = 144 * pi
h = 7 km
Volume = 144 *7 * pi
Volume = 1008 * pi
Volume = 3165.1
Which property is illustrated by the equation 3 (m n) = (3 m) n?
Answer:
The property illustrated by the equation 3(mn) = (3m)n is associative property of multiplication. This answer has been confirmed as correct and helpful.Answer:
associative
Step-by-step explanation:
What is the next term in the sequence?
2, -4, 8, -16, ...
Answer:
32
Step-by-step explanation:
it multiplies by -2 every time
Ayuda por favor Por favor
Answer:
the answer is 1 and 1/2
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which of the following statements is true?
A. A data set will always have exactly one mode
B. A data set can have multiple modes
C. A data set will always have at least one mode
D. A data set will never have a mode
Answer:
B. A data set can have multiple modes.
D. A data set will never have a mode.
Step-by-step explanation:
reason for B: some data are referred to as multimodal data because they have multiple modes.
reason for D: data can lack a mode if no value appears more than two times, or frequently.
Consider the following linear system.
-2x+5y=23
-10x+ky=115
The value of k that will produce a system with an infinite number of solutions is:
a. -25
b. 25
c. -5
d. 5
Answer:
b. 25
Step-by-step explanation:
To have an infinite number of solutions, both equations must be equal.
-2x + 5y = 23
-10x + ky = 115
Multiply both sides of the first equation by 5 and write it. Rewrite the second equation below the first equation.
-10x + 25y = 115
-10x + ky = 115
For the equations to be equal, you must have
25y = ky
Divide both sides by y.
k = 25
Answer: b. 25
