Answer:
A 4^15 * 5^10
Step-by-step explanation:
When moving to the other side of a fration the exponent changes sign
4^3 / 5^-2 = 4^3 * 5^2
When taking an exponent to anexponet, multiply the exponents
(4^3 * 5^2)^5 = 4^15 * 5^10
Answer A
x^2+21x+1=5x+4
solve by completing the square show all work
(will give brainliest)
Answer:
x = 0.1854 and x = -16.1854
Step-by-step explanation:
refer to photo
HELLLLPPPPPPP PLEASEEEEEE BEGGGGI G SOMEONE PLEASEEEEEEEEE
Answer:113
Step-by-step explanation:
A company makes fish tanks in the shape of right rectangular prisms. The company has an order for a fish tank that must be exactly 4 feet long and hold at least 35 cubic feet of water. The company wants to save money on materials and will make the tank with the smallest surface area possible. The dimensions of the tank must be in whole foot increments and a top is included in the construction What dimensions for the width and height of the fish tank will satisfy the requirements
The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .
What is dimension?Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.
According to the given problem,
let , b = is the width of the fish tank
h = is the height of the fish tank given that , hold at least 35 cubic feet of water .
so ,
4×b×h ≥ 35
⇒ h ≥ 35/4b
now , surface area of the fish tank
⇒ 4b + 2× 4h + 2× bh
now substitute the value of h
here
⇒ ≥ 4b +70/b + 35/2
⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )
therefore ,
= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,
h = 35 / 4 × 4 = 2.1875 round off h = 2
so , the minimum surface area of fish tank is
⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48
hence , the height and the width of the fish tank is 2 and 4 .
learn more about dimension here :brainly.com/question/27022535
#SPJ2
READ THE IMAGE WILL GIVE BRIANLIENSTAINERSTALIN
Question 5 options:
9
5
3
12
If you start with $1000 and invest it in account that pays 3% interest compounded once a year. How much
money will you have in 10 years? (Show your equation)
Answer:
[tex]A = P(1 + \frac{r}{n} )^{nt}\\\\P = 1000\\r = 3\% = \frac{3}{00} = 0.03\\n = 1\\t = 10\\\\A = 1000( 1 + \frac{0.03}{1} )^{10}= 1000(1.03)^{10} =\$1343.92[/tex]
After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different trucks with same height of ladders. The first truck costs $145,000 and will cost $0.31 per mile traveled based on the current gas prices. The second truck will cost $160,000 but gets better gas mileage, costing $0.27 per mile. They need to decide which truck is the best deal.
Answer:
the first truck
Step-by-step explanation:
the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000
the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.
so,
I think, this is a very significant number of truck cost compared with gas cost
for the best deal, the first truck is the best choice.
what photo should i chose???
Answer:
Top right figure (the trapezoid)
Step-by-step explanation:
Line symmetry means that if you draw a line that cuts the figure, and reflect the figure across that line, the figure does not change.
Now, if we use vertical lines, a figure will have a line symmetry if it is exactly the same in the left as it is in the right.
And we can see that none of the figures meets this condition.
If instead, we use horizontal lines, then the figure must be equal above and below.
Particularly the "L" and the "t" can be discarded.
Also, the bottom right image can be discarded, as the bottom is clearly different than the top.
But the top right figure (the trapezoid) is exactly the same in the bottom as in the top, so if we reflect that image across a horizontal line that cuts it in two halves, the figure will not change, so that is the figure that has line symmetry,
what is the probility of tossing talls twice
Please solve with explanation
Answer:
Rewrite the equation as 28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1).
28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1)
Simplify (7a^2+2a−3)(4a^2−1).
28a^4+ma^3−19a^2−2a+3=28a^4−19a^2+8a^3−2a+3
Move all terms not containing m to the right side of the equation.
ma^3=8a^3
Divide each term by a3 and simplify.
m=8
Step-by-step explanation:
Hope to help you
Liz records her pet hamster's weight once every month for one year. How many observations does she make?
Answer: 12 observations
Step-by-step explanation:
1 year = 12 months
Number of observations = 1 per month
Therefore number of observations
for a year = 1 × 12
= 12 observations.
Which of the following expressions is equal to squared +25? O A. (x+5012 O B. (x-50 O C. (x + 10 (x-151) O D. (X - 5)(x+51)
Answer:
(x-5i)(x+5i)
Step-by-step explanation:
Given the expression
(x-5i)²
Expand
(x-5i)(x+5i)
= x² - 5ix + 5ix - 25i²
= x² - 25i²
Since i² = -1, hence;
(x-5i)(x+5i) = x² - 25(-1)
(x-5i)(x+5i) = x² + 25
Hence the required expression is (x-5i)(x+5i)
A recipe that serves 4 people uses 3 potatoes. How many potatoes are needed to serve 20 people?
Answer:
14
Step-by-step explanation:
You need to count by 4´s. So:
4, 8, 12, 16, 20.
3, 6, 9, 12, 14.
I lined them up for you to understand it easier
What is the length of the hypotenuse?
Answer:
h=15feet.
Step-by-step explanation:
using Pythagoras theorem
h²=p²+b²
h²=12²+9²h²=144+81h=√225h=15feet.hope it helps.
stay safe healthy and happy.[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢ ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢ \sqrt{225 \: {ft}^{2} } = c \\ ⇢ \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Can someone help its math :)
Answer:
m<F = 53
Step-by-step explanation:
Exterior angles thm:
5x - 10 + 3x + 14 = 100
8x + 4 = 100
8x = 104
x = 13
m<F:
3x + 14
3(13) + 14
39 + 14
53
complete the inequality for this graph acellus
Answer:
[tex]y < x + 1[/tex]
Step-by-step explanation:
ùr ãñswer høpe it helps you...How do i use composition and decomposition to determine the area of a polygon?
Answer: Decompose means the opposite, to take apart
Step-by-step explanation: In this lesson, the words composition and decomposition are used to describe how irregular figures can be separated into triangles and other polygons. The area of these parts can then be added together to calculate the area of the whole figure.
Which of the following lines is parallel to the line that passes through (-1, -3) and (5,0)?
Matthew worked a summer job and saved $900 each
summer for the last 4 years. He also has been awarded a
grant in the amount of $5,000 and he received $3,000 in
scholarships. He estimated the first year of college to cost
$13,000. If he uses his savings, the grant, and his
scholarship, how much more will he need to pay for the
first year of college?
Answer:
1400
Step-by-step explanation:
hope that helps <3
log(2x+5)+10=13 SHOW WORK PLEASE
Answer:
x = 497.5
Step-by-step explanation:
that's the correct answer with solution
Two stores carry a similar stereo for the same original price and $573. Store A offers a 25% discount and the Store B sells the stereo for $446.94. Which store gives the bigger percent discount
Answer:
Razz
May 30, 2O21
100 - 16 = 84
.84*573 = 481.32
which is more than 458.40
I NEED HELP ASAP! In a magic square, the sum of the numbers in each row, column, and diagonal is the same. Write and solve equations to find the values of a, b, and c.
Answer:
[tex]a=22,\\b=31,\\c=13[/tex]
Step-by-step explanation:
When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.
Sample solution:
[tex]a+25+28=16+25+34,\\\\a+28=16+34,\\a+28=50,\\a=\boxed{22}[/tex]
[tex]16+b+28=16+25+34,\\b+44=75,\\b=\boxed{31}[/tex]
[tex]34+c+28=16+25+34,\\c+28=41,\\c=\boxed{13}[/tex]
helppppppppppp no links or you'll get reported
Answer:
1.95
Step-by-step explanation:
area = (1/2 ×1 ×1 )×3 = 1.5 ( for sides)
area = ( 1/2 ×1 ×0.9) = 0.45 for base
area =1.5+0.45 = 1.95
write the number into 3 significant figures 7.00956
=================================================
Explanation:
Use a marker to highlight the first three digits on the left. That would be the 7, 0 and 0.
The digit just to the right of that second "0" is the digit "9". Since this 9 is larger than 5, we'll bump the 7.00 up to 7.01
The 0 in 7.01 is significant because it's between two nonzero values. So we have three sig figs here.
NEED HELP ASAP!!!!!The perimeter of a ractangle is 176 ft. If the ratio of the length to the width is 9 : 2, what is the length of each side?
(P = 2l + 2w)
P=2l+2w
l+w equals half of the perimeter
220/2=110
the ratio of the length to the width is 7:3
7x+3x=110
10x=110
x=11
7*11=77 for the length
3*11=33 for the width
A=l*w
A=77*33
A=2541 square inches for the area
maybe you are getting the formula mixed up ?!?!
need help with finding measurement for the cylinder
Answer:
3
Step-by-step explanation:
[tex]\pi V = \pi r^{2} h\\75\pi = \pi 5^{2} h\\75\pi =25\pi *h\\h = 3[/tex]
Help me please thank you for
Answer:
I don't know
Step-by-step explanation:
Sorry
Answer:
Just at a glance I'm pretty sure it would be B.
3.
A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is
red: green : blue =
12:5:2
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.
Answer:
32
Step-by-step explanation:
Since there is 112 more red marbles than green marbles,
7 units= 112
1 unit= 112÷7= 16
2 units(no. of blue marbles)=16×2=32
What is the length of the hypotenuse?
Answer:
15 feet
Step-by-step explanation:
PLEASE ANSWER URGENT
Answer:
D
Step-by-step explanation:
i need help with this
Answer:
7x^2 + 8x-7
7×4^2 + 8×4-7
7×16+32-7
112+25
137