Answer:
Step-by-step explanation:
Formula for calculating the surface area of the box S = 2(LW+LH+WH) where
L is the length of the box
W is the width of the box
H is the height of the box
If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;
S = 2(4(4)+4H + 4H)
S = 2(16+8H)
S = 32+16H
Hence, The function that represents the surface area of this box as a
function of its height is S = 32+16H where H is the height of the box
Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;
S = 32+16H
S = 32+16(6.5)
S = 32+106
S = 138in²
Hence the total surface area of the box is 138in²
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $2690 and her stock in Company B was worth $2980. The stock in Company A has decreased 20% since last year and the stock in Company B has decreased 10%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
14.7 %Step-by-step explanation:
let us total the amount in her portfolio
Company A was worth $2690
Company B was worth $2980.
Total = $5670
when The stock in Company A decreases by 20% she will have
$2690 *0.8= $2152
Company A will worth $2152
when The stock in Company B decreases by 10% she will have
$2980 *0.9= $2682
Company A will worth $2682
In all after the decline in are portfolio is $2152+$2682= $4834
the difference for the original amount in her investment is = $5670-$4834
= $836
The total percentage decrease in the investor's stock account
= (836/5670)*100= 0.147*100= 14.7 %
Answer:
14.7%
Step-by-step explanation:
It’s 14.7%
Pls make me brainliest
Area of square = 135 mm²
Perimeter of square=
Answer:
About 11.62 by 11.62
A square had equal sides so you find the square root of 135 and that is rounded to 11.62.
So the perimeter would be about 46. But 46.48 exactly.
Answer:
P≈46.48
A= Area
135
Step-by-step explanation:
What is the equation of the polynomial function?
Answer:
f(x) = (1/2)(x-2)^2(x+1)(x+2)
Step-by-step explanation:
You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.
Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.
However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.
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The area of a square garden is 9 yd*2..
How long is each side of the garden?
Answer:
18 yards i think
Step-by-step explanation:
-n if n = -16 I need help
(It says high school at the top but it's supposed to be middle school)
Answer: 16 is the correct answer.
Step-by-step explanation: -n if n=-16 --16 two negatives equal positive and makes it +16.
The difference between a number and 20 is 45...
Answer:
Step-by-step explanation:
25
4) Let A = {7, 8, 9, 10, 11, 12), B = {9, 11, 13), C = {7, 8, 10, 12), D = {7, 12), and U = {7, 8, 9, 10, 11, 12, 13). 4) Вас A) True B) False
It is true as A consist {7,8,9,10,11,12} and B consists of{9,11,13} and C consist of {7,8,10,12} and D has{7,12} there are the set of numbers from 7 to 13 only so the answer is true that U={7,8,9,10,11,12,13}.
To make five cups of lemonade you mix three cups of water with two cups of lemon juice. If there are sixteen cups in a gallon, how many cups of lemon juice are needed to make ten gallons of lemonade
Answer:
64 cups of lemon juice
Explanation:
First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:
5 cups of lemonade→2 cups of lemon juice
16 cups of lemonade→x
x=(16*2)/5=6.4 cups of lemon juice
Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:
1 gallon of lemonade→6.4 cups of lemon juice
10 galons of lemonade→x
x=(10*6.4)/1=64 cups of lemon juice
According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.
Micheal has saved 22.40 cents Kevin saved 3/4 of the amount that micheal saved. Jack saved 5 times as much as kevin. What is the total amount of all three
Answer:
$151.20
Step-by-step explanation:
(22.40x0.75)+(22.40x5)+22.40=151.20
A cell phone manufacturer designed the new packaging shown below that will hold a cell phone, accessories, and an owner's manual. Which is the volume of the new packaging? A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches. The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches. 130 in.3 120 in.3 110 in.3 90 in.3
Answer:
90 inches³
Step-by-step explanation:
Given that:
A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches.
The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches
Volume of rectangular prism = (width * length * height)
Volume of smaller prism: ( 5 * 1 * 2) inches = 10inch³
Volume of larger prism : (5 * 4 * (1 +3)) inches
(5 * 4 * (1 +3)) inches = (5 * 4 * 4) inches = 80 inches³
Total volume of the new packaging:
Volume of smaller + volume of larger prism
10 inches³ + 80 inches³ = 90 inches³
solve for the variable.
r
—— + 4 = 5
10
help quick!
Identify 21, 46, and 57 as prime or composite.
HELP!!
21 is composite because its factors are 1, 3, 7 and 21. If a number has 3 or more factors, then it's composite.
46: 1, 23, 46.
57: 1, 3, 19, 57.
Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
The numbers 21, 46, and 57 are composite numbers.
Given,
21, 46 and 57
We need to identify which are prime or composite numbers.
What are prime numbers and composite numbers?Prime number - The numbers whose factor is only 1 and itself.
Example: 2, 5, 7
2 x 1 = 2
5 x 1 = 5
7 x 1 = 7
Composite number - The numbers which have factors other than itself and 1.
Example: 4, 6, 8
4 = 2 x 2
6 = 2 x 3
8 = 2 x 4
Find the factors
21 - 7 x 3
46 - 2 x 23
57 - 3 x 19
We see that each number has factors other than 1 and itself.
So,
21, 46, and 57 are composite numbers.
Thus 21, 46, and 57 are composite numbers.
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Help needed ASAP will give brainliest to the person that answers this
Ans option 3? it can be converted to a fraction!
Answer:
it depends on the number of decimals
Step-by-step explanation:
Consider the partial construction of a line parallel to liner through point Q.
What would be the final step in the construction?
Draw a line through P and S.
Draw a line through W and S.
Draw a line through Q and S.
Draw a line through T and S.
Answer:
Option (3)
Step-by-step explanation:
To construct a line parallel to the line through point Q we will follow the following steps,
1). We join two points P (on the line) and point Q above the line PT with the help of a straightedge.
2). Now we will copy the angle QPT at point P with the help of a compass (Arcs as shown in the figure)
3). Finally we will join points Q and S to construct a line QS parallel to the line PT.
Therefore, Option (3) will be the answer.
4. 6t -5+5t = 105 (t = 4; t = 7;t = 10)
Answer:
t = 10.
Step-by-step explanation:
We can combine like terms, getting 11t - 5 = 105.
Add both sides by 5, getting 11t = 105 + 5 = 110.
We can then divide both sides by 11, getting t = 10.
Convert 50 m/s to miles/hr
Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000. What is the explicit function that represents Mark's salary?
Answer:
65000(1.02)^n.
Step-by-step explanation:
Salary = 65000(1.02)^n where n is the number of years he has worked for the company.
So after one year he earns $6500* 1.02 and after 2 years $65000 * 1.02^2.
The exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]
What is an exponential function?The mathematical expression f(x)=exp or e^x denotes the exponential function.
The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
Given that Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so its employees' salaries keep up with inflation. At the end of the first year, Mark will have made $65,000.
The exponential function for the salary will be written as:-
[tex]Salary = 65000(1.02)^n[/tex]
where n is the number of years he has worked for the company.
So after one year, he earns $6500 x 1.02, and after 2 years $65000 x 1.02².
Therefore, the exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]
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If f(x) = 5x + 40, what is f(x) when x = -5? 0 g -8 O 7 O 15
answer is 15
[tex]f(x)=5x+40\\f(-5)=5(-5)+40\\f(-5)=-25+40\\f(-5)=15[/tex]
If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.
option D is correct.
Here, we have,
given that,
f(x) = 5x + 40
now, we have to find the value of f(x) when x = -5.
To find the value of f(x) when x = -5,
we substitute -5 into the function f(x) = 5x + 40:
we get,
f(-5) = 5(-5) + 40
= -25 + 40
= 15
Therefore, f(x) when x = -5 is 15.
Hence, If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.
option D is correct.
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onde step equations (add/subtract)
-6 = t -1 =???
Step-by-step explanation:
If we are solving for t, we have to remember that we have to isolate the variable (get its on its own). Since -1 is with t on the same side of the equation right now, we have to move the -1 to the other side of the equation. To do so, we add it's opposite to the right side (+1). Then, the -1 cancels out so we are left with an isolated t.
-6 = t - 1 (+1)
-6 = t
But we are not done yet! Whatever we do on one side, we have to do on the other side. Since we added 1 to the right, we have to add 1 on the left, too. So we add 1 to -6.
(+1) -6 = t
-6 + 1 = -5
-5 = t
Our final answer: t = - 5 (it can also be written as - 5 = t, but most people prefer the variable going first)
A 16-cup bottle of fabric softener costs $16.80. What is the price per pint?
===============================================
Work Shown:
1 pint = 2 cups
8 pints = 16 cups (multiply both sides by 8)
We have an 8 pint bottle costing $16.80, so we can say
8 pints = 16.80 dollars
1 pint = 2.10 dollars (divide both sides by 8)
Answer:
$2.10
Step-by-step explanation:
2 cups in 1 pint
16 cups= 8 pints
16 cups = 16.80
16.80 divided by 8 = 2.1
4x - 4y = 1 Solve the equation for y. 10 points!
Answer:
infinite solutions
y = x - 1/4
Step-by-step explanation:
4x - 4y = 1
4y = 4x - 1
y = x - 1/4
substitute
4x - 4(x - 1/4) = 1
4x - 4x + 1 = 1
0 = 0
infinite solutions
Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!
Answer:
see explanation
Step-by-step explanation:
Using sum to product identities
cos x - cos y = - 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{x-y}{2}[/tex] ) = 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{y-x}{2}[/tex] )
cos x + cos y = 2cos([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )
Note that
sin10° = sin(90 - 10)° = cos80°
Thus
[tex]\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2}) }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2}) }[/tex] ← cancel 2 from numerator/ denominator
= [tex]\frac{sin45}{cos45}[/tex] × [tex]\frac{sin35}{cos35}[/tex]
= tan45° × tan35° { tan45° = 1 ]
= 1 × tan35°
= tan35° ← as required
Answer: see proof below
Step-by-step explanation:
* Use the following Co-function Identity: sin A = cos(90 - A)
* Use the following Sum to Product Identities:
cos x - cos y = 2 sin [(x + y)/2] · sin [(x - y)/2]
cos x + cos y = 2 cos [(x + y)/2] · cos [(x - y)/2]
* Use the Unit Circle to evaluate cos 45 = sin 45 = √2/2
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \qquad \quad \dfrac{\cos 10-\sin 10}{\cos 10+\sin 10}\\\\\\\text{Co-function Identity:}\qquad \dfrac{\cos 10 -\cos (90-10)}{\cos 10+\cos (90-10)}\\\\\\\text{Product to Sum Identity:}\quad \dfrac{2\sin (\frac{10+80}{2})\sin (\frac{80-10}{2})}{2\cos (\frac{10+80}{2})\cos (\frac{80-10}{2})}\\\\\\\text{Simplify:}\qquad \qquad \qquad \qquad \dfrac{2\sin (45)\sin (35)}{2 \cos (45)\cos (35)}[/tex]
[tex].\qquad \qquad \qquad \qquad \qquad = \dfrac{2(\frac{\sqrt2}{2}) \sin (35)}{2(\frac{\sqrt2}{2}) \cos(35)}\\\\\\.\qquad \qquad \qquad \qquad \qquad = \tan (35)[/tex]
LHS = RHS: tan 35 = tan 35 [tex]\checkmark[/tex]
A graph where the horizontal axis shows time (t), numbered 1 to 4, and the vertical axis shows height (h) numbered 10 to 60. Solid circles appear at point (0, 48), point (1, 64), point (3, 0). A solid curved line connects all 3 points.
Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds.
What is the domain?
Answer:
the answer is A
Step-by-step explanation:
just did it
Answer:
a
Step-by-step explanation:
PLEASE HELP! (this isn’t math but I really need this in the next few mins) An assignment my gaming and animations teacher gave me said to explain (insert game)’s objectives, operation, obstacles, and outcomes. I don’t know what an operation means here. Please help
Answer:
Gaming Functions
Step-by-step explanation:
I think your teacher is implying for you to explain the function and the "works" behind the game. Maybe talk about the game's programming or the way it's overall structured?
4t – 3 – (3t +1) = 5t – 4 can i get some help?
0t
Step-by-step explanation:
4t-3-(3t+1)=5t-4
4t-3-3t-1=5t-4
t-3-1=5t-4
t-4=5t-4
t=5t
0=6t
0=t
(Im not 100% sure about this but i think this is the answer)
Please I need help please hurry I will mark brainliest
Step-by-step explanation:
Remember: the formula for solving for volumes:
l • w • h
An easy way to do this is to convert all the numbers to decimals.
3 1/2 = 3.5
5 1/4 = 5.25
4 = 4
Now, we can multiply.
3.5 • 5.25 • 4 = 73.5
Convert 0.5 to a fraction: 1/2
Our final answer: D: [tex]73 \frac{1}{2}[/tex]
What is the intersection of AC and plane Q?
What change would you get from £10 if you spent £9.17? Give your
answer in pence
Answer:
£0.83
Step-by-step explanation:
This is a simple subtraction problem.
You have 10 pence. You buy something with 9.17 pence.
10 - 9.17
0.83
Label your answer in pence.
£0.83
Good luck mate :)
Can someone help me please I need to turn this in tomorrow
Answer:
1. 24 different 4-digit numbers can be formed.
Step-by-step explanation:
2. The probability that the number 3 will be the first or third digit is 1:1, which is equal to 1/2 and 50%
3. The probability is 3:1, 3/4, or 75%
4. What is the probability that the first digit will be the number 3 and the second digit will be the number 7? Answer: 1/12
the area of a square with a width of 2√5 in simplest form
Answer:
20
Step-by-step explanation:
(2√5)²=
4*5=20