Answer:
Midpoint: (2.4, -1)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
With that in mind,
(3.2 + 1.6)/2 = 2.4
(2.5 - 4.5)/2 = -1
Answer:
(2.4, -1)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates
(3.2+1.6)/2 = 4.8/2 = 2.4
To find the y coordinate of the midpoint, average the y coordinates
(2.5+-4.5)/2 = -2/2 = -1
(2.4, -1)
Dylan scored a total of 48 points in the first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
Answer:
g = 48 divided by 4
Step-by-step explanation:
Answer:
g=48/4
Step-by-step explanation:
this thing / mean divided
You are given the sequence of digits "0625", and can insert a decimal point at the beginning, at the end, or at any of the other three positions. Which of these numbers can you not make? 6 25 6 25 5 8 5 8 1 16 1 16 25 4 25 4 25 2 25 2
Answer:
25/4
Step-by-step explanation:
Because I say so
Using the given points, determine the slope.
(8, 1) and (8, -4)
slope = -5
slope = 0
slope is undefined
Answer:
slope is undefined
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-4 -1)/(8-8)
= -5/0
We cannot divide by zero so the slope is undefined
Answer:
Slope is undefined .
Step-by-step explanation:
(8, 1) (8, -4)y2 - y1
m = ---------------
x2 - x1
-4 - 1 -5
m = --------------- = ----- - = 0
8 - 8 0
Please please help guys
Answer:
234.85
Step-by-step explanation:
This was easy!!!
(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!
Answer: C. $234.85
Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month) = $234.85 (how much the gardener made)
1/2log25-2log3+log8
Answer:
log base 10 of 40/9, log(40/9), or 0.6478
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Answer:
D. a = 29, b = 16, c = 24, d = 30, e = 22
Step-by-step explanation:
got it right on edge
The number of students who like both algebra and geometry is 27.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.
The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.
The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.
The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).
We are given that:
A = 45
G = 53
U = 75
U - (A ∪ G) = 6
Now,
U - (A ∪ G) = 6
75 - (45 + 53 - A ∩ G) = 6
27 = A ∩ G
Therefore,
The number of students who like both algebra and geometry is 27.
Learn more about the Venn diagram here:
https://brainly.com/question/1605100
#SPJ5
The complete question.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Find the number of students who like both algebra and geometry.
Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?
Answer:
y = 14
Step-by-step explanation:
y ∝ [tex]\frac{1}{x}[/tex]
=> y = [tex]\frac{k}{x}[/tex] -------------(1)
Where k is the constant of proportionality
Now,
x = 7, y = 4
Putting in (1)
4 = [tex]\frac{k}{7}[/tex]
So,
=> k = 28
Now y = ? when x = 2
Putting x and k in (i)
y = [tex]\frac{28}{2}[/tex]
y = 14
Answer:
[tex]y=14[/tex]
Step-by-step explanation:
[tex]y \propto 1/x[/tex]
[tex]y=k/x[/tex]
[tex]4=k/7[/tex]
[tex]4 \times 7 = k[/tex]
[tex]28=k[/tex]
[tex]y=28/x[/tex]
[tex]y=28/(2)[/tex]
[tex]y=14[/tex]
Please Hurry!!!! A Newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft above the ground, and then anchored to the ground 4ft from the base of the tree. How much wire is needed for the trees
Answer:
5 ft, I think
1 Point
Write a mathematical sentence that expresses the information given below.
Use cas your variable name. If necessary:
type < = to means
or > = to mean >.
Henry had charged 933 dollars to his credit card. Even after the cost of his
next purchase, he was still under his credit limit of 1500 dollars.
Answer here
Answer:
933+x < 1500
Step-by-step explanation:
Let x be the next purchase
The first charge of 933 and the next purchase is less than 1500 dollars
933+x < 1500
Answer:
1500>933+c
Step-by-step explanation:
,............
A banker has $1000 to invest. She deposits part of it in a stock paying 4%, and the rest in bonds that offer 5% return. If the total interest earned in one year was $440, how much was invested at each rate?
Answer:
Step-by-step explanation:
Given that:
4x + 5x = $440
9x = $440
x = $49 (Approx.)
So, she received :
from the stock = 4 x 49 = $196
from the bond = 5 x 49 = $245
SO, now, how much did she invest ?
Answer:
Step-by-step explanation:
Let x represent the amount invested at 4% and y the amount at 5%. Then x + y = 1000.
Then:
0.04(1000 - x) + 0.05x) = 440 (total interest)
Then:
40 - 0.04x + 0.05x = 440, or
0.01x = 400, or
x = 40000 (not possible, because the principal is only $1000.
Something's wrong here. Double check to ensure that you've copied the problem down correctly.
PLEASE ANSWER ASAP FOR BRAINLIEST!!!!!!!
Answer:
2144.66
Step-by-step explanation:
V = 4/3 π r^3
Answer:2144.66
Step-by-step explanation:
formula for volume of a sphere- v=4/3 pi r^3
v=4/3 pi 8^3
V= 4/3 pi 512
v=2048pi
v=2144.66
which function is graphed below
Answer:
y = tan(x) - 2
Step-by-step explanation:
Answer:
y=tan(x)-2
Step-by-step explanation:
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle
Answer:
30° each
Step-by-step explanation:
Complementary angles are those that add up to 90° so if they are all equal then it's
90/3=30°
Answer: 30° each
Complementary angles are those that add up to 90° just to remind you!!
Find the area of a rectangle with the following dimensions
Length=×+3
Width=4
Answer:
4x+12
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = (x+3) *4
Distribute
A = 4x+12
► Find the surface area of cylinder whose base diameter is 5cm
and height is 30cm.(pi=22/7)
Answer:
510.71 cm^2Solution,
[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment...
Answer :
Here,
Diameter = 5cm so, radius = 5/2 = 2.5
Height = 30 cm
Surface area of a cyclinder = 2πr(r+h)
= 2 × 22/7 × 2.5 ( 30 + 2.5 )
= 5 × 22/7 × 32.5
= 510.71 cm²
square root of 0.925 by long division method
0.96176920308
Hope it Helps you :)Solve (x-4)^2=5 (Full question shown in the image below)
Answer:
Answer is option a) x = 4 ±√5
Step-by-step explanation:
[tex]given \: equation \: is \\ {(x - 4)}^{2} = 5 \\ taking \: sqareroot \: on \: bot \: sides \\ x - 4 = ± \sqrt{5 } \\ x = 4± \sqrt{5} [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Let f(x)=5x+2 and g(x)=5x^2+4x. After simplifying, (f⋅g)(x)=______
Answer: [tex]f(g(x))=25x^{2}+20x+2\\[/tex]
Step-by-step explanation:
(f·g)(x) also means f(g(x)).
So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.
[tex]f(g(x))=5(5x^{2}+4x)+2[/tex]
Now distribute the 5.
[tex]f(g(x))=25x^{2}+20x+2[/tex]
This is as simplified the equation gets as it is not factor-able.
A relação entre o tempo e a distância percorrida pelo ciclista é uma função? Justifica.
Answer: Yes, it is a function.
Step-by-step explanation:
This question is:
"A relation between time and distance traveled by a biker is a function?"
Well, as you may know, a function is a relation where each value in the domain or input, has only linked one value in the range or output.
In this relation the domain is time and the range is the distance.
Now, as you know, at each given time, the distance of the biker can be only one (he can not be at different locations at the same time) so this relation is actually a function.
Find the area of this irregular figure. All angles are right angles. 128 in2 296 in2 256 in2 80 in2
Answer:
256in²
Step-by-step explanation:
Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16
384-128=256in²
Which fraction is closer to 1 than 0?
3
8
5
10
7
12
6
14
Answer:
[tex]7/12[/tex]
Step-by-step explanation:
[tex]3/8=0.375[/tex]
[tex]5/10=0.5[/tex]
[tex]7/12 \approx 0.58333333333[/tex]
[tex]6/14 \approx 0.42857142857[/tex]
Therefore, 7/12 is the closest to 1 than 0.
WILL GIVE 60 PTS! PLEASE HELP ME!!!! ANYTHING WILL HELP JUST EXPLAIN HOW TO GET THE ANSWER X is increased by 50% and decreased by 30% . What is the result? I am giving 60 points!
Answer:
[tex]\frac{5x+1}{5}[/tex]
Step-by-step explanation:
Given Condition:
=> x+50%-30%
=> x+20%
=> [tex]x+ \frac{20}{100}[/tex]
LCM = 100
=> [tex]\frac{100x+20}{100}[/tex]
Taking 20 common
=> [tex]\frac{20(5x+1)}{100}[/tex]
=> [tex]\frac{5x+1}{5}[/tex]
Hope this helps!
Don't hesitate asking anything regarding this!
HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!
Answer:
58
Step-by-step explanation:
First, find the interior angle adjacent to the angle GFD.
180 - (34+24) = 180 - 58 = 122
Now, the exterior angle = 180 - 122 = 58
hope this helps
please help :( best explanation i give brainliest :)
Answer:
Chopped tomatoes
= 3/4 x 800 = 600g
Stock
= 3/4 x 600 = 450 ml
Red wine
= 3/4 x 300 = 225 ml
Answer: See below
Step-by-step explanation:
For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.
Chopped tomatoes
[tex]\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}[/tex] [cross multiply]
[tex]400x=240000[/tex] [divide both sides by 400]
[tex]x=600g[/tex]
We will need 600 g chopped tomatoes.
------------------------------------------------------------------------------------------
Stock
[tex]\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}[/tex] [cross multiply]
[tex]400x=180000[/tex] [divide both sides by 400]
[tex]x=450[/tex]
We will need 450 ml of stock.
------------------------------------------------------------------------------------------
Red wine
[tex]\frac{400g}{300ml} =\frac{300g}{x}[/tex] [cross multiply]
[tex]400x=90000[/tex] [divide both sides by 400]
[tex]x=225[/tex]
We will need 225 ml of red wine.
please explain while solving
Answer:
48Step-by-step explanation:
In the picture above
I hope it helps :)
Whats is rusult of : ( - 2x² )³ . ( - 3x )²
Answer:
[tex]-72x^8[/tex]
Step-by-step explanation:
=> [tex](-2x^2)^3*(-3x)^2[/tex]
=> [tex]-8x^6*9x^2[/tex]
=> [tex](-8*9) *(x^6x^2)[/tex]
When bases are same powers are to be added
=> [tex](-72)(x^{6+2})[/tex]
=> [tex]-72x^8[/tex]
Answer:
[tex]- 72x^{8}[/tex]
Step-by-step explanation:
[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]
Distribute the exponents to the brackets.
[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]
[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]
[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]
[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]
[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]
Multiply like terms and add exponents with same bases.
[tex]- 72 \times x^{2+6}[/tex]
[tex]- 72 \times x^{8}[/tex]
A savings account pays 4 1/2% interest. How much interest
will be earned on $450 in 3 years? How much money will
be in the account in 3 years?
i already know the answer i just need help solving it help!!!
Answer: Amount in account after 3 years $513.52
Interest accrued in 3 years is $63.52
Step-by-step explanation:
450 x 4.5% = 20.25
Add to balance 20.25 + 450 = 470.25
470.25 x 4.5% = 21.16
Add to balance 21.16+470.25=491.41
491.41 x 4.5% = 22.11
Add to balance 22.11 + 491.41 = 513.52
Use triangle ABC to write the value of sin B as a ratio. Use triangle ABC to write the value of sin B as a ratio.
Answer:
[tex] \sin(b) = \frac{12}{13} [/tex]
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, … starts with two 1s, and each term afterward is the sum of its two predecessors. Which one of the ten digits is the last to appear in the ones position of a number in the Fibonacci sequence?
Answer:
6
Step-by-step explanation:
Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:
$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$
The last digit to appear in the units position of a number in the Fibonacci sequence is $6.
The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].
The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.
The next terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.
Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.
Learn more here:
https://brainly.com/question/13247630?referrer=searchResults
What is 3x+2y=-12 in Y=Mx+b form? Please answer ASAP
Hey there! :)
Answer:
y = -3/2x - 6
Step-by-step explanation:
Begin by isolating the 'y' variable:
3x + 2y = -12
Subtract both sides by 3x:
2y = -3x - 12
Divide both sides by 2:
y = -3/2x - 6
Therefore, the equation in y = mx + b form is:
y = -3/2x - 6
Answer:
y= -1.5x-6
Step-by-step explanation:
In order to turn this equation into y=mx+b form, we need to move x to the other side.
Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x
Step 2 : Now that we have everything on the right side, divide the equation by 2.
Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.