Answer:
[tex]15^4[/tex]
Step-by-step explanation:
Given the following question:
[tex]15\times15\times15\times15[/tex]
In order to find the exponent of the given expression we count how many times the number is being multiplied by itself, that number would then be the exponent.
[tex]15\times15\times15\times15[/tex]
They're four 15's
[tex]15^4[/tex]
To prove the answer:
[tex]15\times15\times15\times15=50625[/tex]
[tex]15^4=50625[/tex]
[tex]15^4[/tex]
Hope this helps.
Solve the equation. (7x + 1 /16 = 1 /2
Answer:
x=1/16
Step-by-step explanation:
[tex]7x + 1 /16 = 1 /2\\\\7x=1/2-1/16\\\\7x=8-1/16\\\\7x=7/16\\\\x=7/16*7\\\\x=7/112\\\\x=1/16[/tex]
Eighteen is 25% less than what number?
Answer:
72
Step-by-step explanation:
multiply 18 by 4,
since 100/4 is 25, and four quarters makes a dollar, multiply it by 4
18(4) = 72
Katie is making cookies. She makes a batch of 18 cookies. Her little brother Bridger ate some of the cookies and Katie wants to see how many are left. How many cookies did Bridger eat? How many are left over?
Answer:
15 cookies
Step-by-step explanation:
Well she has 18 and well we know that
some = a few= 3
SO all you have too is subtract 18-3
and get 15 cookies ;)!
YW!
How do I solve this ?
Step-by-step explanation:
12 in long requires 96 pounds.
inversely proportional means that if I double the length of the handle, I need only half of the force.
so,
24 in long requires 48 pounds.
the product of both factors is constant for the system.
c = 12×96 = 1152 = 24×48 = ...
c is called "work". it is force times distance and usually expressed in joules.
(a)
so, the force is then work / distance.
force = 1152 / length
(b)
60 = 1152 / length
60 × length = 1152
length = 1152/60 = 288/15 = 96/5 = 19.2 in
the handle must be 19.2 in long to do the same work with 60 pounds of force (i.e. to loosen the bolt with 60 pounds of force).
Find [tex]\frac{d^2y}{dx^2}[/tex] if [tex]x^2y^2=1[/tex]
Options:
A. [tex]\frac{2y}{x^2}[/tex]
B. 0
C. [tex]\frac{y}{x}[/tex]
D. [tex]\frac{-y}{x}[/tex]
E. [tex]\frac{-y}{x^2}[/tex]
Answer:
A) [tex]\frac{d^2y}{dx^2}=\frac{2y}{x^2}[/tex]
Step-by-step explanation:
Use implicit differentiation to find dy/dx
[tex]x^2y^2=1\\\\\frac{d}{dx}(x^2y^2)=\frac{d}{dx}(1)\\ \\x^2(\frac{d}{dx}y^2)+(\frac{d}{dx}(x^2))y^2 =0\\\\2yx^2\frac{dy}{dx}+2xy^2=0\\\\2xy(x\frac{dy}{dx}+y)=0\\ \\x\frac{dy}{dx}+y=0\\ \\x\frac{dy}{dx}=-y\\ \\\frac{dy}{dx}=-\frac{y}{x}[/tex]
Determine d²y/dx² using dy/dx
[tex]\frac{dy}{dx}=\frac{-y}{x}\\ \\ \frac{d^2y}{dx^2}=\frac{(x)[\frac{d}{dx}(-y)]-(-y)[\frac{d}{dx}(x)] }{x^2}\\ \\ \frac{d^2y}{dx^2}=\frac{-x\frac{dy}{dx}+y}{x^2}\\ \\ \frac{d^2y}{dx^2}=\frac{-x(\frac{-y}{x})+y}{x^2}\\\\ \frac{d^2y}{dx^2}=\frac{-(-y)+y}{x^2}\\\\ \frac{d^2y}{dx^2}=\frac{y+y}{x^2}\\\\ \frac{d^2y}{dx^2}=\frac{2y}{x^2}[/tex]
Helpful tips
When doing implicit differentiation, make sure to treat "y" as a constant and write dy/dx next to the y-term because it's differentiated with respect to xThe product rule is [tex]\frac{d}{dx}[f(x)g(x)]=f(x)[\frac{d}{dx}g(x)]+[\frac{d}{dx}f(x)]g(x)[/tex]The quotient rule is [tex]\frac{d}{dx}[\frac{f(x)}{g(x)}]=\frac{f(x)[\frac{d}{dx}g(x)]-g(x)[\frac{d}{dx}f(x)]}{(g(x))^2}[/tex][tex]\frac{dy}{dx}[/tex] represents the first derivative of y with respect to x and [tex]\frac{d^2y}{dx^2}[/tex] represents the second derivative of y with respect to xLet me know if you have any more questions!
Leonard went fishing and caught 40 fish in 8 hours. Charlotte went fishing and caught 32 fish in 8 hours. On average, how many fish did Leonard catch in one hour? On average, how many fish did Charlotte catch in one hour? Use unit rates to determine who caught fish faster.
To find the average divide total caught by total hours:
Leonard = 40 / 8 = 5 fish per hour
Charlotte = 32/8 = 4 fish per hour
Leonard caught more fish per hour.
Answer:
See Below.
Step-by-step explanation:
average: fishes caught/time takenFor Leonard: 40/8 = 5 fishes/hr
For Charlotte: 32/8 = 4 fishes/hr
On average, 5 fishes Leonard caught in one hour.On average, 4 fishes Charlotte caught in one hour.From this, we can identify that Leonard caught more fishes per hour or faster.
What is the area of the figure? Explain.
Answer:
24 cm²
Step-by-step explanation:
The rectangular section on the right is 8 - 4 = 4 cm wide.
It is 3 + 1.5 = 4.5 cm tall.
The area of the rectangular section is ...
A = LW
A = (4.5 cm)(4 cm) = 18 cm²
__
The triangular section on the left is 4 cm wide and 3 cm high. Its area is ...
A = 1/2bh
A = 1/2(4 cm)(3 cm) = 6 cm²
The total shaded area is the sum of the areas of the triangular section and the rectangular section:
area = 18 cm² +6 cm² = 24 cm² . . . area of the figure
HELP!!!! In the diagram, which pair of angles are corresponding angles? 1 and 8, 4 and 6, 3 and 7, 2 and4????
Answer:
Diagram not visible!
Corresponding angles are equal.
Step-by-step explanation:
I think you would have to ask the question again.
Which of the following is likely to keep Harry from being approved for a loan? a. Harry's debt-to-income is a stable 39%. B. Harry's credit score currently sits at 702. C. Harry has a gross monthly income of $3800. D. Harry was able to offer his vacation home as collateral for the loan. Please select the best answer from the choices provided A B C D.
Answer:
the answer is A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
I think it is
serena paid $24.60 for 7 1/2 gal of gasoline
Answer:
For each gallon, serena payed $3.28.
Step-by-step explanation:
Answer:
Serena paid 3.28 for each gal of gasoline
Step-by-step explanation:
Simply, divide 24.60 by [tex]7\frac{1}{2}[/tex] and you get 3.28 (your answer)
I need help please please please
Answer:
diameter =20 inches
radius = d÷ 2
=20 ÷2
r. = 10 inches.
Answer:
10 inches
Step-by-step explanation:
radius is half of the diameter and half of 20 is 10
An investor bought 50 shares of stock for $98.40 per share when the value of the stock was $142.00 per share
The profit on the shares is $2180
How to determine the profit on the sharesFrom the question, we have the following parameters that can be used in our computation:
Number of shares = 50
Cost price = $98.40
Current price = $142.00
The profit on the shares is then calculated as
Profit = (Current price - Cost price) * Number of shares
Substitute the known values in the above equation, so, we have the following representation
Profit = (142 - 98.40) * 50
Evaluate
Profit = 2180
Hence, the profit is $2180
Read more about shares at
https://brainly.com/question/25818989
#SPJ1
4. What is the solution to the inequality
below?
2x + 10 < 40
A x< 10
CX > 10
B x < 15
D x> 15
Answer:
the answer I got was B
Step-by-step explanation:
subtact 10 from both sides:
2x + 10 - 10 < 40 - 10
simplify the arithmetic:
2x < 40 - 10
simply again:
2x < 30
divide:
30 / 2 = 15
the system equations 2y=14-2x and y=-x+7
Answer:
Hey there!
When we are given what one of our variables is equal to, we can easily solve the system of equations via substitution, which is where we take the variable value, plug it into the other equation, and solve for the other variable.
In this case, we just take our value for y and plug it in for the value for y in the first equation and solve for x.
2(-x+7)=14-2x
-2x+14=14-2x
-2x=-2x
x=x
As we can see, there are infinitely many solutions to this first equation, which means that there is no possible way to solve for y because x has infinitely many solutions, so there are infinitely many solutions to this system of equations, because they are both the same line.
I hope this helps! :D
I need help!!!!!!!!!!!
i) less than
ii) greater than
iii) less than
iv) greater than
Step-by-step explanation:
do you need the calculations too?
A bouncy ball is dropped such that the height of
its first bounce is 4.75 feet and each successive
bounce is 75% of the previous bounce's height.
What would be the height of the 9th bounce of
the ball? Round to the nearest tenth (if
necessary).
The rate at which the ball drops from the height is an illustration of an geometric sequence
The height of the 9th bounce of the ball is 0.4 feet
How to determine the height of the ballThe given parameters are:
Initial height, a = 4.75
Rate, r = 75%
Bounce, n = 9
The function that represents the height of the ball is:
[tex]H = ar^{n[/tex]
So, we have:
[tex]H = 4.75 * (75\%)^{9[/tex]
Evaluate
[tex]H = 0.4[/tex] --- approximated
Hence, the height of the 9th bounce of the ball is 0.4 feet
Read more about geometric sequence at:
https://brainly.com/question/12006112
A box of candy weighs 340. 23 grams and costs $18. 99. If 1 gram is approximately 0. 03527 ounces, what is the unit price per ounce of the candy? a. $0. 53 b. $0. 67 c. $1. 58 d. $1. 97.
Unit price per ounce of the candy of 340.23 grams is $1.58
What is ounce and gram ?Ounce and gram are two different unit of mass and relation between them is 1 gram = 0.03527 ounces .
In the question it is given that weight of candy is 340.23 grams
And it costs $18.99
Now we can covert grams to ounces as
[tex]1 \text{gram}= \ 0.03527 \text{ounces}\\[/tex]
Hence
[tex]340.23 \text{gram}= \ 340.23\times 0.03527 \text{ounces}\\\\\\340.23 \text{gram}=11.99 \ \text{ounces}\\[/tex]
Now 11.99 ounces of candy cost $18.99
So 1 ounce of candy cost 18.99/11.99= $1.58
Unit price per ounce of the candy of 340.23 grams is $1.58
To learn more about gram visit: https://brainly.com/question/26161082
Please help me solve this inequality thank you
Answer:
x < 4
Step-by-step explanation:
12x - 11 < 37 ( add 11 to both sides )
12x < 48 ( divide both sides by 12 )
x < 4
The net for a cube is shown below. Find the lateral surface area of the
cube.
8 m
Answer:
48 m
Step-by-step explanation:
8 times 6 which is how many sides a square has.
What is the value of x in this figure?
x = 22
x = 68
X = 90
Answer:
2nd Option 68 :)
Step-by-step explanation:
Solve for x in the equation 2x2-5x+1 -3.
29
41
o xtv
O
O
o x + V47
Answer: B.
Step-by-step explanation: 2x² + x - 6x - 3
= 2x² - 5x - 3
Tell me if you get the answer right.
Parallelogram ABCD is a rhombus. Side BC= 5 cm and segment AO = 3.8 cm. what is the area of ABCD
The area of a shape is the amount of space it occupies
The area of the rhombus is 24.7 square inches
How to determine the area of the rhombusStart by calculating the length BO using the following Pythagoras theorem
[tex]BC^2 = AO^2 + BO^2[/tex]
So, we have:
[tex]5^2 = 3.8^2 + BO^2[/tex]
Evaluate the exponents
[tex]25 = 14.44 + BO^2[/tex]
Collect like terms
[tex]BO^2 = 25 - 14.44[/tex]
[tex]BO^2 = 10.56[/tex]
Take the square roots
[tex]BO = 3.25[/tex]
The area of the rhombus is then calculated as:
[tex]Area = \frac{2BO * 2AO}{2}[/tex]
This gives
[tex]Area = \frac{2 * 3.25 * 2 * 3.8}{2}[/tex]
[tex]Area = 24.7[/tex]
Hence, the area of the rhombus is 24.7 square inches
Read more about areas at:
https://brainly.com/question/24487155
a number y squared plus twice the same number minus seventy-four
Step-by-step explanation:
Key words:
Squared - To the power of 2.Plus - AdditionTwice - 2 Times/DoubleMinus - SubtractionLet's create an equation:
y is squared.
[tex] {y}^{2} [/tex]
Then, added to twice the same number.
[tex] {y}^{2} + {y}^{4} [/tex]
Lastly, minus by 74.
[tex] {y}^{2} + {y}^{4} - 74[/tex]
is your equation.
Arnold and jamie are both performing the same experiment. Arnold does 20 trials and gets 7 positive results. Jamie does 10 trials and gets 3 positive results. What is the best estimate for the probability of a positive result. Marking brainliest
A. 1/2
b. 1/3
c. 1/4
d. 1/5
Answer:
B
Step-by-step explanation:
This is all 1/3 of the number of times the experiment was tried to put in perspective john has 10 apples and he gives 3 away that's about 1/3 of the amount of apples
Please name every primary number up to 1000
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997
Step-by-step explanation:
168 total
I need help please I need problem 2
Diagonals of paralleogram bisect eachother
[tex]\\ \rm\longmapsto 5x=30[/tex]
[tex]\\ \rm\longmapsto x=30/5[/tex]
[tex]\\ \rm\longmapsto x=6[/tex]
As we know that, Diagonal of parallelogram bisect each other. That means the two halves of the diagonal are equal. According to this property;
[tex]5x = 30[/tex]
Now, Solve for x by dividing both sides of equation by 5 to eliminate the coefficient of x
[tex]x = 6[/tex]
Verification:[tex]5x = 30[/tex]
x = 6[tex]5 \times 6 = 30 \\ 30 = 30[/tex]
solve: this equation down below:
7×10n=700
Answer:
n = 10
Step-by-step explanation:
[tex]7 \times 10n = 700 \\ 10n = \frac{700}{7} \\ 10n = 100 \\ \frac{10n}{10} = \frac{100}{10} \\ n = 10[/tex]
Story Problems Level 1
Ean buys lilies and gladiolas
He buys 36 total flowers
He pays $126 total.
Lilies cost $2, gladiolas cost $5
How many of each flower did he buy?
State the variables carefully
(hint,go look at the go karts and bikes prob
Total cost
Guys pls help me asap
Answer:ngl ion een kno cuh
Step-by-step explanation:
A basketball team played six games. In those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. Which was the mean amount by which the team won or lost over the six games?
A. -3 points
B. 2 points
C. 3 points
D. 6 points
How many points did Miguel earn?
Billy earned 32 points on the quiz.
Miguel earned 5 more points than Billy.
Answer:
Miguel earned 37 points.
Step-by-step explanation:
32+5=37