Answer:
-7n=73-10
-7n=63
n=-63/7
Answer:
\(10 - 7n = 73 \\ - 7n = 73 - 10 \\ - 7n = 63 \\ 7n = - 63 \\ n = \frac{ - 63}{7} \\ \boxed{ n = - 9}\)
n = -9 is the right answer.f(-10) = 4, ƒ(8) = -5
Answer: f(x)=-.5x-1
Step-by-step explanation:
I believe this is the answer you are looking for. Because if you plug in -10 for x and it gives you 4. Do the same with 8 and you get -5
Hope this helps :)
If 20% of a number is 24, find 5% of that number.
3) Each volume of an encyclopedia has two covers, each 1/4-inch thick, and 300 pages of text that are 2-inthick. The books are arranged in order on a shelf. How far does a bookworm travel who burrows his way from the first page of Volume I to the last page of Volume III?
Answer:
7 inches
Step-by-step explanation:
Volume 1 - 300 pages 2 inches
back cover 1/4 inch
Volume 2 - front cover 1/4 inch
300 pages 2 inches
back cover 1/4 inch
Volume 3 - front cover 1/4 inch
300 pages 2 inches
Find the volume of this square
based pyramid.
5ft
6 ft
[? ]ft
Answer:
48 ft³
Step-by-step explanation:
To find the height, you can use the slant height and the base.
Using the Pythagorean Theorem and 3 as the triangle's base,
a²+b²=c²
3²+b²=5²
9+b²=25
b²=16
b=4
The height of the pyramid is 4.
Volume formula for the pyramid is \(\frac{1}{3} *b*h\)
Inserting our measurements:
\(\frac{1}{3} *6*6*4=\\2*6*4=\\12*4=\\48\)
Distribute to create an equivalent expression with the fewest symbols possible.
6(3c - 5d + 6) =6(3c−5d+6)=6, left parenthesis, 3, c, minus, 5, d, plus, 6, right parenthesis, equals
Using the distributive property, it is found that the equivalent expression is:
18c - 30d + 36
What is the distributive property?It is a property that the outside term multiplies each of the inside terms.
In this problem, the expression is:
6(3c - 5d + 6).
Hence, we apply the property, with the outside term 6 multiplying each of the inside terms, hence the equivalent expression is given by:
6(3c - 5d + 6) = 18c - 30d + 36.
More can be learned about the distributive property at https://brainly.com/question/2807928
–4k + –11.11 = –3.23
Answer:
Your answer is: k = -1.97
Step-by-step explanation:
Hope this helped : )
Answer:
k = − 1.97
Step-by-step explanation:
mark me brailiest plz, and hope this helps!
What is the value of 4.3X 10^5
Answer: 430000
Step-by-step explanation: you have to do pemdas
Answer: 430,000. /four hundred thirty thousand
Step-by-step explanation:
The value of 4.3 x 10^5 is 430,000.
To understand this, the notation 4.3 x 10^5 represents a number in scientific notation, where 4.3 is the coefficient or significand, and 10^5 is the exponent. The exponent of 10 tells us how many places to move the decimal point to the right. In this case, the exponent 5 means we need to move the decimal point five places to the right.
Starting with 4.3, we move the decimal point five places to the right to get 430,000. So, 4.3 x 10^5 is equivalent to 430,000.
Is the following number rational or irrational?
- 13/12
A: rational
B: irrational
Answer:
B. irrational
Step-by-step explanation:
-13/12 = −1.083333333
Giving brainliest!
The expression on the left side of an equation is shown below.
3 (x + 1) + 9 = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Group of answer choices
3 (x + 4)
2 (x + 6) + x
4(x – 3) – x
3 (x + 1) + 9 x
If the equation has no solution, the expressions that can be written in the box on the other side of the equation are A. 3(x + 4) and B. 2(x + 6) + x.
What is an equation?An equation represents a mathematical statement showing that two or more expressions share equality in value.
Equations show the equal or equivalent relationship between two mathematical expressions.
We depict equations using the equation symbol (=).
Given equation:
3 (x + 1) + 9 = box
= 3x + 3 + 9
= 3x + 12
A. 3(x + 4)
= 3x + 12
B. 2(x + 6) + x
= 2x + 12 + x
= 3x + 12
C. 4(x – 3) – x
= 4x - 12 - x
= 3x - 12
D. 3(x + 1) + 9x
= 3x + 3 + 9x
= 12x + 3
Thus, Options A and B can be written in the box on the other side of equation 3 (x + 1) + 9 = box, unlike Options C and D.
Learn more about equations at brainly.com/question/2972832
#SPJ1
Answer:
I think the answer is C if im wrong i am so srry
Step-by-step explanation:
Find the real solutions of a polynomial equation 5x² + 2 3x4, = Separate answers by commas. Enter exact answers using integers and fractions, not decimal approximations.
The real solutions of the equation 5x² + 23x⁴ = 0 are:
x = 0, x = √(-5/23), x = -√(-5/23)
The polynomial equation you provided seems to have a typographical error, as it is not properly formatted. However, I will assume that you meant:
5x² + 23x⁴ = 0
To find the real solutions of this equation, we can factor out the common term "x²" and rewrite it as:
x²(5 + 23x²) = 0
Now we have two factors: x² = 0 and (5 + 23x²) = 0. Let's solve them individually:
x² = 0:
Taking the square root of both sides, we get:
x = 0
5 + 23x² = 0:
Subtracting 5 from both sides, we have:
23x² = -5
Dividing both sides by 23, we get:
x² = -5/23
Taking the square root of both sides, we have:
x = ±√(-5/23)
So the real solutions of the equation 5x² + 23x⁴ = 0 are:
x = 0, x = √(-5/23), x = -√(-5/23)
Please note that √(-5/23) is an imaginary number, as the expression inside the square root is negative.
Learn more about polynomial equation here:
https://brainly.com/question/30196188
#SPJ11
Which is a coefficient in the expression (3x5)+4x
Answer:
15 + 4 x
Step-by-step explanation:
multiple all
then answer is
=15 + 4x
Caroline, Krutika and Natasha share some sweets in the ratio 2:5:3. Caroline gets 12 sweets. How many more sweets does Krutika get over Natasha?
Answer:
12 sweets
Step-by-step explanation:
2:5:3.
caroline gets 12 so multiply the ratio by 6.
12:30:18
Krutika has 30, Natasha has 18.
30-18=12
so 12 sweets
Hope this helps plz mark brainliest :D
When you have -13+20 how exactly did you get 7?
How do you find the base of a shape given the dimensions of the cross section?
Ex. An eight feet long plank has a cross section of two by three, what is the base?
Answer:
2
Step-by-step explanation:
The base of a shape can be found by measuring the width of the cross section. In the example you provided, the base of the plank is 2 feet.
y=-2x+10 through 3,-1
Answer:
dawdaw
Step-by-step explanation:
dawda
if z is a standard normal variable find the probability that (p(-0.73) < z <2.27
If z is a standard normal variable find the probability that p(z < 2.01)
The probability that (-0.73 < z < 2.27) is approximately 0.7569, while the probability that (z < 2.01) is approximately 0.9783.
To find the probability that (-0.73 < z < 2.27) where z is a standard normal variable, we can use the standard normal distribution table or a calculator. The probability can be calculated as P(-0.73 < z < 2.27) = P(z < 2.27) - P(z < -0.73). By referring to the standard normal distribution table, we can find the corresponding probabilities and subtract them to obtain the desired result.
To find the probability that (p(-0.73) < z < 2.27), where z is a standard normal variable, we can use the standard normal distribution table or a statistical software.
From the standard normal distribution table, we can find the corresponding probabilities for each z-value:
P(z < -0.73) = 0.2320 (from the table)
P(z < 2.27) = 0.9889 (from the table)
To find the probability that p(-0.73) < z < 2.27, we subtract the probability corresponding to the lower z-value from the probability corresponding to the higher z-value:
P(-0.73 < z < 2.27) = P(z < 2.27) - P(z < -0.73)
= 0.9889 - 0.2320
= 0.7569
Therefore, the probability that (-0.73 < z < 2.27) is approximately 0.7569.
For the second question, to find the probability that p(z < 2.01), we can use the standard normal distribution table:
P(z < 2.01) = 0.9783 (from the table)
Therefore, the probability that (z < 2.01) is approximately 0.9783.
To know more about probability, refer here:
https://brainly.com/question/31574107#
#SPJ11
What is the congruence correspondence, if any, that will prove the given triangles congruent?
Answer:
Step-by-step explanation:
In ΔFYG & ΔBUH
∠F = ∠B
FY = BU
YG = UH
ΔFYG ≅ ΔBUH { Angle Side Side congruent}
the base is one greater than the amount. If the percentage is 93.75, then find the amount and the base
The base is 16 while the amount is 15 giving a percentage of 93.75%
Percentage
Percentage is a number or ratio expressed in a fraction of 100. It is represented in percentage sign.
Let x represent the base and y represent the amount.
The base is one greater than the amount. Hence:
x = y + 1x - y = 1 (1)The percentage is 93.75%, hence:
y/x = 93.75%
y/x = 0.9375
y = 0.9375x
0.9375x - y = 0 (2)
From equation 1 and 2:
x = 16, y = 15
The base is 16 while the amount is 15.
Find out more on percentage at: https://brainly.com/question/24304697
What is 24 divided by 849 please do have a remainder and show your work.
When 24 is divided by 849, the result would be 8/283 or 0.0283.
What is the result of 24 divided by 849?When 24 is divided by 849, the result would be a value that is less than 1.
This is because 24 is less than 849 and so 849 would be unable to go into it a single time.
The result would then be:
= 24/849
Simplifying it can be done by using the GCF of 3:
= (24 / 3) / (849 / 3)
= 8/283
= 0.0283
Find out more on greatest common factors at https://brainly.com/question/219464.
#SPJ1
The table shows the weights of onions at a grocery store.
Answer:
Formula: 0.12x = y
Step-by-step explanation:
5 × 0.12 = 0.60
3 × 0.12 = 0.36
14 × 0.12 1.68
5x2 – 10xy + 5y2 – 20z2.
The answer is 5 (x - y + 2z) (x- y - 2z)
A polynomial or integer is simply resolved into factors that, when multiplied together, produce the original or initial polynomial or integer. The factorization method allows us to simplify any algebraic or quadratic equation by representing the equations as the product of factors rather than by expanding the brackets. Any equation can have an integer, a variable, or the algebraic expression itself as a factor.
The algebraic expressions can be factored using one of four techniques.
Method of common factorsMethod of grouping termsFactorization using identities(x+a) (x+b) form factorsNow, solving the following question,
= 5 [ \(x^{2}\) - 2xy + \(y^{2}\) ] - 4\(z^{2}\)
= 5 [ \((x-y)^{2}\) - \(2z^{2}\)
= 5 (x - y + 2z) (x - y - 2z)
Therefore, the factors are 5 (x - y + 2z) (x - y - 2z)
The following question is incomplete. The correct question is:
Factorize the given equation.
5\(x^{2}\) - 10xy + 5\(y^{2}\) - \(20z^{2}\)
To know more about factorization:
brainly.com/question/25829061
make p the subject of t=p+m/p-m
Answer:
t=9+m/9-m
Step-by-step explanation:
Add. State the sum in simplest terms.
16-p
(p+4)(p-6)
+ 1⁄4 › P‡ − 4,6
p+4
The sum in simplest terms is 1/(p-6)
What is LCM?
Least Common Multiple is the meaning of the acronym LCM. The smallest number that both numbers can divide by is known as the least common multiple (LCM) of two numbers. It can also be computed for two or more different numbers. There are numerous ways to calculate the LCM of a given collection of numbers. Utilizing the prime factorization of each number and then calculating the product of the highest powers of the common prime factors yields the LCM of two integers in a short amount of time.
(16-p)/[ (p+4)(p-6) ] + 2/ (p+4)
Take LCM = (p+4)(p-6)
= [ 16-p + 2(p-6) ] / [ (p+4)(p-6) ]
= [ 16-p + 2p-12) ] / [ (p+4)(p-6) ]
= ( p +4 ) / [ (p+4)(p-6) ]
= 1/(p-6)
To learn more about the LCM from the given link
https://brainly.com/question/1622425
#SPJ1
Larry has at least 3 more books than Pat. If Pat has 6 books, what do you know about the number of books Larry has?
Answer:
Larry has at least 9 books
Step-by-step explanation:
just add 6 and 3 to get 9. and since it says at least 3 more, you would know that even after adding them, he would have at least 9.
That was a bad explanation, but I hope you know what I mean, if you dont, just comment on my answer and ask any questions about it :)
i need answer please
Answer:
Below in bold.
Step-by-step explanation:
Radius of the pizza = 1/2 * 8 = 4 in.
Area of the whole pizza = π r^2
= π * 4^2
= 8 π
So if you take 1/8 away
the area left = 7/8 * 8 * π
= 7π
Taking π to be 22/7:
= 7 * 22/7
= approximately 22 in^2.
Dylan has a square piece of metal that measures 18 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch?
the number 1,000 is equivalent to _______.
A. 10 to the power of 5
B. 10 to the power of 4
C. 10 to the power of 3
D. 10 to the power of 2
Your entry level position at the law firm is $34,000 and it increases by 2.5% each year.
A. Write an exponential function to represent this situation.
B. What will your salary be in 5 years? Round your answer to the nearest dollar.
pls I need this I'll give away the rest of my points
Answer:
A) \(S(n) = 34000(1.025^{n})\)
B) $38,468
Step-by-step explanation
\(34000 (1.025^{5}) = 38,467.8792\)
Show transcribed data
Find the directions in which the function increases and decreases most rapidly at P_0. Then find the derivatives of the function in these directions. f(x, y) = x^2 + xy + y^2, P_0(-1, 4) The direction in which the given function f(x, y) = x^2 + xy + y^2 increases most rapidly at P_0 (-1, 4) is u = i + j. (Type exact answers, using radicals as needed.) The direction in which the given function f(x, y) = x^2 + xy + y^2 decreases most rapidly at P_0 (- 1, 4) is - u = i + j. (Type exact answers, using radicals as needed.) The derivative of the given function f(x, y) = x^2 + xy + y^2 in the direction in which the function increases most rapidly at P_0 (-1, 4) is D_u f = (Type an exact answer, using radicals as needed.) The derivative of the given function f(x, y) = x^2 + xy + y^2 in the direction in which the function decreases most rapidly at P_0 (-1, 4) is D_-u f = (Type an exact answer, using radicals as needed.)
The direction in which the given function\(f(x, y) = x^2 + xy + y^2\)increases most rapidly at P_0 (-1, 4) is \(u = < 2/√53, 7/√53 >\), the direction in which the function decreases most rapidly at P_0 is \(-u = < -2/√53, -7/√53 >\), the derivative of the function in the direction of the gradient is\(D_u f = √53,\)and the derivative of the function in the opposite direction of the gradient is \(D_-u f = -√53.\)
The direction in which a function increases most rapidly at a given point is the direction of the gradient of the function at that point. The gradient of the function \(f(x, y) = x^2 + xy + y^2\) is given by:
\(∇f = < 2x + y, x + 2y >\)
At the point P_0 (-1, 4), the gradient is:\(∇f(P_0) = < 2(-1) + 4, -1 + 2(4) > = < 2, 7 >\)
The direction in which the function increases most rapidly at P_0 is the unit vector in the direction of the gradient:
\(u = ∇f(P_0)/||∇f(P_0)|| = < 2/√53, 7/√53 >\)
The direction in which the function decreases most rapidly at P_0 is the opposite of the direction of the gradient:\(-u = < -2/√53, -7/√53 >\)
The derivative of the function in the direction of the gradient is the dot product of the gradient and unit vector in the direction of the gradient:
\(D_u f = ∇f(P_0) · u = < 2, 7 > · < 2/√53, 7/√53 > = (4 + 49)/√53 = 53/√53 = √53\)
The derivative of the function in the opposite direction of the gradient is the dot product of the gradient and the unit vector in the opposite direction of the gradient:
\(D_-u f = ∇f(P_0) · -u = < 2, 7 > · < -2/√53, -7/√53 > = (-4 - 49)/√53 = -53/√53 = -√53\)
Know more about function here:
https://brainly.com/question/12431044
#SPJ11
Solve the following system of equations by substitution. Show all steps.
f (x) = -x^{2} + 2x +3
g (x) = -2x + 3
Answer:
Given system of equations:
\(\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}\)
To solve by substitution, equate the equations and solve for x:
\(\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}\)
Therefore, the x-values of the solution are \(x = 0\) and \(x = 4\).
To find the y-values of the solution, substitute the found values of x into the functions:
\(f(0)=-(0)^2+2(0)+3=3\)
\(g(0)=-2(0)+3=3\)
\(f(4)=-(4)^2+2(4)+3=-5\)
\(g(4)=-2(4)+3=-5\)
Therefore, the solutions to the given system of equations are:
\((0, 3)\) and \((4, -5)\)