Answer:
92.4 m^2
Step-by-step explanation:
Area of Trapezoid: h(b1+b2)/2
6.6 (14.2 + 7.6 + 6.2) / 2
= 6.6 (28) / 2
= 184.8/2
= 92.4 m^2
a) the quadratic x^2-4x-21 can be written in the form (x+a)^2+b find the values of and and b
b) hence, or otherwise, solve the equation x^2-4x-21=0
BEST ANSWER GETS TO CHOOSE BRAINLESST OR FOLLOW!
Answer:13 is>
14 is =
15 is >
16 is<
17 is<
18 is =
Step-by-step explanation:
I just know plz mark brainliest
which of the following represents 8 square root x^3 in exponential form
Answer:
x^3/8
Step-by-step explanation:
Use n √ a^ x = a ^x/ n to rewrite 8 √ x ^3 as x ^3/ 8 .
Which graph represents a function with direct variation?
help asap!!
PLLZZZZZZZZZZZZ HELP ME :(((((((((
Answer:
Least children=9
Step-by-step explanation:
there can be at least 1 row of 6 kids with 3 left so that is 9 kids. and there can be at least 1 row of 8 kids with 3 left so there is 11 kids. So the least number of kids possible is 9.
Is the relation a function?
{(-6, -1), (5,-1), (0, -1), (-2, -1), (3, -1)}
Answer:
yes it is a function
Step-by-step explanation:
For that no two x values are the same with different y values
HELP ASAP it says my questions should be at least 20 characters long so what I’m saying right now doesn’t mean anything.
Answer: See pic above for answer. I got it from Photomath
Plz put brainliest
[tex]( {2}^{ - 1} + {3}^{ - 1} )^{2} [/tex]
solve.
will give the brainliest
Answer:
25/36
Step-by-step explanation:
(2^-1 + 3^-1)^2
➡
➡
(1/2 + 1/3)^2
➡
(5/6)^2 = 25/36
What is the equation in slope-intercept form of a line with slope of 5 and y-intercept of 3?
y=5x+3
Because the starting value(y intercept is 3) and the slope(x) is 5
Find the surface area of the cylinder.
7 cm
5 cm
Answer:
A≈527.79
Step-by-step explanation:
A=2πrh+2πr2=2·π·7·5+2·π·72≈527.78757
Micheal has 1/2 of a yard of fabric to make book covers. Each book cover is made from 1/8 of a yard of fabric. How many book covers can Micheal make?
Answer:
4
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{8}[/tex] = 4
Which equation represents a line parallel to the line whose equations is -2x + 3y =
-4 and passes through the point (1,3)?
Answer:
2. y - 3 = 2/3 (x - 1).
Step-by-step explanation:
-2x + 3y = -4
3y = 2x - 4
y = 2/3 x - 4/3 - so the slope is 2/3.
The slope of a line parallel to it is also 2/3.
It also passes through the point (1, 3).
Using the point-slope form of a line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line, we have:
y - 3 = 2/3 (x - 1) <--- is the required equation.
Answer:
2
Step-by-step explanation:
parallel lines have same slope with different intercept
y= mx+b
m is going to be same with different b
so the given function is:
-2x+3y=-43y= 2x-4y= 2/3x - 4/3Given options:
1. y-3= - 2/3(x-1) ⇒ y= -2/3x +3 + 2/3 ⇒ y= -2/3x +11/3
it has different slope, so is not parallel2. y-3= 2/3(x-1) ⇒ y= 2/3x+3-2/3 ⇒ y= 2/3x + 7/3
it has same slope, so is parallelit should be passing through point (1,3)3= 2/3+7/3 ⇒ 3=3, yes it does3. y-3= -2/3(x+1) ⇒ y= - 2/3x +3- 2/3 ⇒ y= -2/3x + 7/3
it has different slope, is not parallel4. y-3= 2/3(x+1) ⇒ y= 2/3x +3+ 2/3 ⇒ y= 2/3x +11/3
it has same slope, so is parallelit should be passing through point (1,3)3= 2/3+11/3 ⇒ 3≠13/3, no it doesn'tIf g(x) = -4x + 5, find g(2x-1).
Answer:
- 8x + 9
Step-by-step explanation:
To evaluate g(2x - 1) substitute x = 2x - 1 into g(x), that is
g(2x - 1)
= - 4(2x - 1) + 5 ← distribute parenthesis and simplify
= - 8x + 4 + 5
= - 8x + 9
Answer:
= - 8x + 9
Step-by-step explanation:
= - 8x + 4 + 5
= - 8x + 9
A new car is purchased for 23400 dollars. The value of the car depreciates at 11.5% per year. To the nearest year, how long will it be until the value of the car is 12700 dollars?
Answer: 5 years
Step-by-step explanation:
Using same formula as for Compound Interest:
12700 = 23400 (1-.115)^t
12700 = 23400 x 0.885^t
0.885^t = 127/234
Convert decimal into fraction:
177/200^t = 127/234
Take logarithm of both sides of thr equation:
t = log 177/200 (127/234)
t = 5.00242
Find the solution(s) to x^2- 14x + 49 = 0.
O A. x=-2 and x = 7
B. x= -1 and x = 14
C. x= 7 only
D. x = 7 and x = -7
Answer:
[tex] \boxed{C. \: x = 7 \: only} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} - 14x + 49 = 0 \\ \\ = > {x}^{2} - (7 + 7)x + 49 = 0 \\ \\ = > {x}^{2} - 7x - 7x + 49 = 0 \\ \\ = > x(x - 7) - 7(x - 7) = 0 \\ \\ = > (x - 7)(x - 7) = 0 \\ \\ = > {(x - 7)}^{2} = 0 \\ \\ = > x - 7 = 0 \\ \\ = > x = 7[/tex]
Tiffany cells 2 kinds of homemade tomato sauce
Answer:
b
Step-by-step explanation:
Let x represent the number of quarts of Tuscan sauce and
y represents the number of quarts of marinara sauce Tiffany makes.
A quart of Tuscan sauce requires 6 tomatoes and 1 cup of oil
x quarts requires 6x tomatoes and 1x cups of oil
A quart of her marinara sauce requires 5 tomatoes and 1.25 cups of oil
y quarts requires 5y tomatoes and 1.25 y cups of oil
She has 45 tomatoes and 10 cups of oil on hand.
So the constraints are
6x+5y≤45
1x+1.25y≤10
x>=0 and y>=0
After drawing a diagram of what's required to make 1 quart of Tuscan and 1 quart of Marinara sauce, you can more clearly choose answer choice (B) 6x + 5y < (or equal to) 45, x + 5/4y < (or equal to) 10, x>(or equal to)0, y>(or equal to)0.
please mark brainliest :)
What is the midpoint of the segment below? (2,3)(-3,-2)
Answer:
(-0.5, 0.5)
Step-by-step explanation:
If those two points are endpoints, just use the midpoint formula.
(-0.5, 0.5)
Answer:
(-1/2,1/2)
Step-by-step explanation:
To find the midpoint, add the x coordinates and divide by 2
(2+-3)/2 = -1/2
add the y coordinates and divide by 2
(3+-2)/2 = 1/2
The midpoint is (-1/2,1/2)
Becky made 4 quarts of chicken noodle soup in a big pot, then served 112-cup bowls of soup to 6 people. How much soup is left in the pot?
Answer:
1qt 3c
Step-by-step explanation:
I need help with is question ASAP please
The y-intercept looks like it's 0 and the slop looks like 6/2 or 3 or maybe 7/2
Find the value of x in the triangle pair below
Answer:
x=16.97056274... or 12[tex]\sqrt{2}[/tex]
Step-by-step explanation:
the hypotenuse of a 45, 45, 90 triangle is the length of the leg times the square root of 2
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.
Card A
Card B
Amount
$1,389.47
$1,065.32
APR
16%
12%
Monthly Payment
$39.38
$28.05
After 4 years, approximately how much will Marcia have saved in interest by consolidating the two balances?
a.
$1,890.24
b.
$133.92
c.
$543.84
d.
$1,346.40
ANSWER IS B
Answer:
Option B ,$133.92 is correct
Step-by-step explanation:
By consolidating both balances in Card B,APR of 12% would apply to funds in card A as well
Let us approach the question by solving for monthly payment of Card A using 12% APR as follows while making use of excel pmt formula:
=pmt(rate,nper,-pv,fv)
rate is the monthly rate on the card which is 12%/12=1%
nper is the number of months of payment which is 12 months * 4 years=48
pv is the current balance in the card which is $1,389.47
fv is the total amount of monthly repayment which is taken as zero
=pmt(1%,48,-1389.47,0)=$ 36.59
Using 16% monthly payment is $39.38 which is given already
Total monthly payments for 16%=$39.38*48=$1890.24
Total monthly payments for 12% APR=$36.59*48=$1756.32
savings in total repayments=savings in interest=$1890.24 -$1756.32 =$133.92
Answer:
B. $133.92
Step-by-step explanation:
Just took the test and got it right
A few years ago, a country consumed 19,400,000 barrels of oil per day. That same year, there were about 119,000,000 households in that country. A barrel of oil is 42 U.S. gallons. Estimate how many gallons each household in the country consumed each day that year by rounding down all three numbers. (Round 19,400,000 barrels to 19,000,000 barrels, 119,000,000 households to 115,000,000 households, and 42 gallons to 40 gallons. Round your answer to two decimal places.)
_________ gal/household/day
Calculate the answer without using estimation and compare the two results. (Round your answer to two decimal places.)
___________gal/household/day
Following are the calculation to fill in the blank:
For Part a)
Each home in this town consumed
[tex]\to 40 \times \frac{19000000}{115000000}\\\\\to 40 \times \frac{19}{115}\\\\\to 40 \times 0.165\\\\\to 6.6 \ \text{gallons of oil per day}[/tex]
For Part b)
Without completing the sentence,
[tex]\text{Total consumption = 19200000 barrels}\\\\\text{Total number of households = 118000000}[/tex]
As a result, each household consumed.
[tex]\to \frac{19200000}{118000000} \\\\\to \frac{192}{1180} \ (barrels)\\\\[/tex]
In the given scenario, each barrel includes 42 gallons of oil. Therefore, every household consumed [tex]42 \times \frac{192}{1180} = 6.83 \ gallons[/tex] oil each day.
Learn more:
brainly.com/question/14798687
Hence, each household will consume 6.60 gallons per day.
Total Households of that country =115000000 (approx.)
Total barrels used per day =19000000 (approx.)
Given 1 barrel = 40 gallons (approx.)
So total gallons used per day = 19000000 x 40 =760000000
So each household will consume gallons per day = total gallons used per day / Total household of that country
=[tex]=\frac{760000000}{ 11500000}[/tex]
=6.60 gallons/household/day
So each household will consume 6.60 gallons per day.
Learn More: https://brainly.com/question/12272570
Jake is earning money for a new TV. So far, he has put $54.29, $87.20, and $21.44 into his savings account. How much money has Jake saved?
add all the values together
54.29+87.20=141.49
141.49+21.44=162.93
Answer:
$162.93
Step-by-step explanation:
Do 54.29 + 87.20 + 21.44 and get 162.93 than put this $ in front of you answer then you have $162.93
please help as soon as possible
I WILL MARK YOU AS BRAINLIEST
Answer:
Last choice
Step-by-step explanation: Subtract 11 and then divide by 3. A would be greater than -2 and last choice shows that
PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS
solve this system of equations
3y-5x=12
y=1/3x
Answer:
x=-3
y=-1
(-3,-1)
Answer:
(-3, -1).
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Pls help me on this................
Answer:
Step-by-step explanation:
Please Help me it’s geometry
Answer:
Option C.
Step-by-step explanation:
Given: In [tex]\Delta OPQ,m\angle O=107^{\circ},m\angle P=28^{\circ} [/tex].
In [tex]\Delta OPQ[/tex],
[tex]m\angle O+m\angle P+m\angle Q=180^{\circ}[/tex] (Angle sum property)
[tex]107^{\circ}+28^{\circ}+m\angle Q=180^{\circ}[/tex]
[tex]135^{\circ}+m\angle Q=180^{\circ}[/tex]
[tex]m\angle Q=180^{\circ}-135^{\circ}[/tex]
[tex]m\angle Q=45^{\circ}[/tex]
Now,
[tex]m\angle O>m\angle Q>m\angle P[/tex]
In a triangle, the greatest angle has largest opposite side and smallest angle has smallest opposite side. So, we conclude that
[tex]PQ>OP>QO[/tex]
Therefore, the correct option is C.
If f(x) = 2x + 1 and g(x) = x-2 what is the value of f(g(f(3)))? This is so confusing plz help me will mark brainliest A) 1 B) 3 C) 5 D) 7 E) 11
Answer:
11
Step-by-step explanation:
f(3) = 2*3+1 = 6+1 = 7
Then find g(7)
g(7) = 7-2 = 5
Then find f(5)
f(5) = 2*5 +1 = 10+1 = 11
f(g(f(3))) = 11
Answer:
11
Step-by-step explanation:
f(x)=2x + 1
f(3)= 2.3 + 1
f(3)=7
f(g(f(3))) = f(g(7))
Now, we have to find g(7)
g(x)=x -2
g(7)= 7 -2
g(7)=5
f(g(f(3))) = f(g(7)) = f(5)
now we have to find f(5)
f(x)=2x + 1
f(5)=2.5 + 1
f(5)=11
Hope this helps ^-^
00:00
Brice is finding the sum of 468 and 241 by breaking it into smaller problems
He uses place value and finds the sums of the hundreds, tens, and ones.
What is the sum of the tens? Enter your answer in the box.
1
Line I and h intersect at what point
Answer:
please show where the lines are graphed in a picture
Step-by-step explanation: