Answer:
"a[b(b + 6) +7(a²-2)]" (the third one)
Step-by-step explanation:
Solve. if there is more than one solution, separate them with comas. (y-4)(y+7)=0
Answer:
y= 4
Step-by-step explanation:
(y-4) (y+7)=0
(4-4) (4+7)=0
(0) (11)=0
11*0=0
. f(x) = Square root of quantity x plus eight. ; g(x) = 8x - 12 Find f(g(x)). (1 point) f(g(x)) = 2 Square root of quantity two x plus one. f(g(x)) = 8 Square root of quantity x plus eight. - 12 f(g(x)) = 2 Square root of quantity two x minus one. f(g(x)) = 8 Square root of quantity two x plus one.
Answer:
[tex]f(g(x))[/tex] = [tex]\sqrt{8x - 4}[/tex]
Step-by-step explanation:
• [tex]f(x) = \sqrt{x + 8}[/tex]
• [tex]g(x) = 8x - 12[/tex]
[tex]f(g(x))[/tex] is the combination of the functions [tex]f(x)[/tex] and [tex]g(x)[/tex] such that [tex]g(x)[/tex] is the input to the function [tex]f(x)[/tex] .
This means, we have to replace the original input of [tex]f(x)[/tex], which is [tex]x[/tex], with the function [tex]g(x)[/tex].
∴ [tex]f(g(x))[/tex] = [tex]f(8x - 12)[/tex]
⇒ [tex]\sqrt{8x - 12 + 8}[/tex]
⇒ [tex]\sqrt{8x - 4}[/tex]
Puedes colorear el 20% del triangulo? Aqui tienes una pista
Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)
Part B: Write a verbal expression for 3(n + 8). (5 points)
The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".
Linear ExpressionA linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.
Part AFirst, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.
The word more will be represented for the add symbol (+). Thus,
the algebraic expression is 6+7x.
Part BThe expression 3*(n+8) can be represented for the sentence:
The triple of the sum between the numbers n and 8.
Learn more about the algebraic expression here:
https://brainly.com/question/2164351
#SPJ1
Help question below study island
(4 + 8 ÷ 2) × 5 – 1?
Answer:
Step-by-step explanation:
(4+8/2)*5-1
8*5-1
39 is your answer
1. Ellie has 2/8 pound of cheese. She used 1/2 of the cheese to make tacos. Since there are 16 ounces in one pound, how many ounces of cheese does Ellie use to make tacos?
The ounces of cheese Ellie uses to make tacos is 2
What is a unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Calculation :
1 pound = 16 ounces
Total cheese Ellie has = [tex]\frac{2}{8}[/tex] pound
Cheese required to make tacos = [tex]\frac{2}{8}[/tex]×[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex] pounds
Ounces of cheese required to make cheese are [tex]\frac{1}{8}[/tex] × 16 = 2 ounces
learn more about the unitary method here :
brainly.com/question/17110989
#SPJ1
Help please I need this asap
Answer:
It is a little hard to see. I think that it is 10.
Step-by-step explanation:
They break even where the two lines intersect. If you look at the bottom of the graph and find 10 and then trace that straight up, I think that is where I see the lines crossing.
Based on your calculations so far, how many cubic meters of water did the hull of the titanic have to displace to stay afloat?
The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.
What is the titanic calculations about?The RMS Titanic is known to be a ship that is said to be owned by the White Star Line.
This is known to be the biggest British passenger liner that was said to have sank when it was on its maiden voyage in the year 1912 in the North Atlantic Ocean.
Note that it sank because it was said to have hit an iceberg on Sunday, 14 April 1912.
The Titanic was said to be about 46,328 gross register tons and was known to have displaced about 52,310 tons of water.
So, 1 ton (displacement) ≈ 0.99109 cubic meters (m³)
Therefore, 52,310 tons
= 52,310 × 0.99109 m³
≈ 51843.918 m³
Therefore, The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.
Learn more about titanic from
https://brainly.com/question/2939247
#SPJ1
Find dy/dx when r=2 2cos(theta) , then find slope of tengent line at point(4, 2pi)
The slope of tangent line at point(4, 2pi) is undefined.
For given question,
We have been given a polar equation r = 2 + 2cos(θ)
We need find dy/dx as well as the slope of tangent line at point(4, 2π).
We know that, for polar equation we use,
x = r cos(θ) and y = r sin(θ)
plug the given value of r into these equations we get:
⇒ x = r cos(θ)
⇒ x = (2 + 2cos(θ) ) × cos(θ)
⇒ x = 2(cos(θ) + cos²(θ))
⇒ x = 2cos(θ) + 2cos²(θ)
Similarly,
⇒ y = r sin(θ)
⇒ y = (2 + 2cos(θ) ) × sin(θ)
⇒ y = 2(sin(θ) + sin(θ)cos(θ))
⇒ y = 2sin(θ) + 2sin(θ)cos(θ)
Now we find derivative of x and y with respect to theta.
[tex]\Rightarrow \frac{dx}{d\theta} =-2sin(\theta)+2(-2cos(\theta)sin(\theta))\\\\\Rightarrow \frac{dx}{d\theta} =-2sin(\theta)-2sin(2\theta)[/tex] .............(1)
Similarly,
[tex]\Rightarrow \frac{dy}{d\theta}=2cos(\theta)+2(cos^2(\theta)-sin^2(\theta))\\\\\Rightarrow \frac{dy}{d\theta}=2cos(\theta)+2(cos(2\theta))[/tex] ..............(2)
Now we find dy/dx
⇒ dy/dx = (dy/dθ) / (dx/dθ)
From (1) and (2),
[tex]\Rightarrow \frac{dy}{dx} =\frac{2cos(\theta)+2cos(2\theta)}{-2sin(\theta)-2sin(2\theta)} \\\\\Rightarrow \frac{dy}{dx} =\frac{2(cos(\theta)+cos(2\theta))}{-2(sin(\theta)+sin(2\theta))}\\\\\Rightarrow \frac{dy}{dx} =-\frac{cos(\theta)+cos(2\theta)}{sin(\theta)+sin(2\theta)}[/tex]
We know that The slope of tangent line is given by dy/dx.
So, the slope is: [tex]m =-\frac{cos(\theta)+cos(2\theta)}{sin(\theta)+sin(2\theta)}[/tex]
Now we need to find the slope of tangent line at point(4, 2pi)
Substitute θ = 2π in above slope formula.
[tex]\Rightarrow m =-\frac{cos(2\pi)+cos(2\times 2\pi)}{sin(2\pi)+sin(2\times 2\pi)}\\\\\Rightarrow m=-\frac{1+cos(4\pi)}{0+sin(4\pi)}\\\\\Rightarrow m=-\frac{1+cos(4\pi)}{sin(4\pi)}[/tex]
⇒ m = ∞
The slope of tangent line at point(4, 2pi) is not defined.
This means, the tangent line must be parallel to Y-axis.
Therefore, the slope of tangent line at point(4, 2pi) is undefined.
Learn more about the slope here:
https://brainly.com/question/10785137
#SPJ4
does anyone know how to do this? pls help
Answer:
-3
Step-by-step explanation:
If you reflect over the y-axis and then move 2 units to the left(x-2), then ABCD will be 3 units above EHGF. Since you need to move it down 3 units to map ABCD onto EHGF, you will need to do y-3, which is the same as y+-3
Examine the ratios to find the one that is not equivalent to the others.
StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction
Which ratio is different from the other three?
The ratio is different from the other three is StartFraction 6 Over 10 EndFraction; 6/10.
RatioA ratio is a number representing a comparison between two named things.
StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction
2/5 = 6/10 = 8/20 = 12/30
2/5 = 0.4
6/10 = 0.6
8/20 = 0.4
12/30 = 0.4
Therefore, the ratio is different from the other three is StartFraction 6 Over 10 EndFraction; 6/10
Learn more about ratio:
https://brainly.com/question/2328454
#SPJ1
Money in a savings account is compounded continuously over time, t, and is modeled by the function f(t)=1000e0.047t. what is the rate at which the balance grows?
Compounded continuously the balance grows at a continuous rate of 1.7%.
What is compound interest ?
Compound interest is when you earn interest on both the money you've saved and the interest you earn. So let's say you invest $1,000 (your principal) and it earns 5 percent (interest rate or earnings) once a year (the compounding frequency).The model used for continuous compounding is
f(t) = Pe^(rt)
where P is the principal amount, and r is the interest rate being compounded. Assuming a typo in your given equation, you have
f(t) = 1000·e^(0.017t)
Matching the various parts of the equation, we see that P = 1000 and r = 0.017 = 1.7%.
Therefore, the balance grows at a continuous rate of 1.7%.
Learn more about compound interest
brainly.com/question/14295570
#SPJ4
The expression above can also be written in the form . For this expression, a = , b = , and c = . b 3 and 5/5
For this expression, the variables are equal to:
a = 15b = 7c = 4What is an expression?An expression is a mathematical equation which shows the relationship existing between two or more numerical quantities or variables.
Given the following expression:
[tex]\sqrt[4]{15^{7} }[/tex]
From the law of indices, we have:
[tex]\sqrt[c]{a^{b} } =a^{\frac{b}{c} } \\\\\sqrt[4]{15^{7} } =15^{\frac{7}{4} }[/tex]
For this expression, the variables are:
a = 15b = 7c = 4Read more on expressions here: https://brainly.com/question/12819629
#SPJ1
Answer: A = 15, B = 7, C = 4, I got it right
:)
Find the length of the function over the given interval. x = 2y from y = −1 to y = 1
The length of the function x = 2y is 2√5 units
According to the given question.
We have a function
x = 2y
Since, we know that the length of the function in the interval [a, b] is given by
l = [tex]\int\limits^a_b\sqrt{1+(\frac{dx}{dy}) ^{2} } \,dy[/tex]
Where, l is the length of the function.
Now, differentiating the given function x = 2y w.r.t y.
Therefore,
dx/dy = 2
So, the length of the given function x = 2y from y = -1 to y = 1 is given by
l = [tex]\int\limits^1_{-1}{\sqrt{1+2^{2} } } \,dy[/tex]
⇒ l = [tex]\int\limits^1_{-1} {\sqrt{1+4} } \,dy[/tex]
⇒ l = [tex]\int\limits^1_{-1}{\sqrt{5} } \,dy[/tex]
⇒ l = √5[1 - (-1)]
⇒ l = √5(2)
⇒ l = 2√5
Hence, the length of the function x = 2y is 2√5 units.
Find out more information about length of the function here:
https://brainly.com/question/10729208
#SPJ4
A mini-lottery involves selecting 2 numbers between 1 and 10. What is the probability of correctly picking the two numbers?
a) 2/10
b) 1/30
c) 2/90
d) 2/100
The probability of correctly picking the two numbers is 2/10.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability of correctly picking the two numbers = (numbers that have to be selected to win / total numbers)
2/10
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 64 meters cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
What is the volume of the sphere?
The graph of the function g(x) = -x is shown on the grid below.
Graph the function h(x) = -x +2+3 in the interactive graph.
←++
-9-8-7-6-5-4-3-2
888610321
9
Y
7+
6+
5+
4+
3.
2.
-2-
-3+
-4+
-5+
-6+
$7
-8+
69
-9.
2 3 4 5 6 7 8 9
y= g(x)
→x
The graph is shown in the attached image.
The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.
This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).
The graph is given below.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of y = -x is a straight line that passes through the origin and has a slope of -1.
It extends infinitely in both directions and has a negative slope, which means that as x increases, y decreases.
The graph of y = |x + 2| - 3 is a bit more complex.
The absolute value function |x + 2| means that the value of x + 2 is taken, and then the absolute value of that value is calculated.
The absolute value function always returns a positive value, so the graph of y = |x + 2| is a V-shaped curve that opens upwards and passes through the point (-2, 0).
The minus sign outside the absolute value function means that the entire curve is reflected about the x-axis, so the graph of y = -|x + 2| is also a V-shaped curve, but this time it opens downwards.
Finally, the +3 at the end of the equation means that the entire graph of
y = -|x + 2| is shifted upwards by 3 units.
Thus,
The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.
This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ5
At school, the teacher surveyed the color preferences of 21 students. Out of every
7 students surveyed, 4 said they liked blue the best. How many students said their favorite
color was blue?
Taking into account the definition of proportion, 12 students said their favorite color was blue.
Definition of ratioThe ratio is the comparison of two quantities and is measured from the division of two values. In other words, the ratio between two magnitudes is defined as their ratio or division; that is, given the quantities a and b, the ratio between them is a÷b.
The result of this division can be understood as how many times one quantity is in another.
Definition of proportionThe relationship of equality that exists between two ratios, that is, between two comparisons between two determined quantities, is known as a proportion. So if a/b corresponds to the ratio, then a/b = c/d equals a proportion.
Students that said their favorite color was blueAt school, the teacher surveyed the color preferences of 21 students. Out of every 7 students surveyed, 4 said they liked blue the best. This can be expressed as a proportion as follow:
4÷7= x÷ 21
where x is the number of students of the 21 students surveyed who like blue.
Solving:
(4÷7)×21= x
12= x
Finally, 12 students said their favorite color was blue.
Learn more about proportion:
brainly.com/question/27396612
brainly.com/question/27125652
#SPJ1
where should i place the points!!! help!!
Answer:
-7
Step-by-step explanation:
Find the area of a kite with diagonal length of 10 and 25 meters.
The Area of the kite with the given diagonals is: 125 square meters.
What is a Kite?A kite can be described as a quadrilateral having four (4) sides, which can be categorized into two pairs of congruent sides, each of them is adjacent to the other. A kite has two diagonals that intersect, where by the longer diagonal divides the smaller diagonal into equal halves.
An example of a kite is shown in the image attached below, where:
JL and KM are the diagonals of the kite.
How to Find the Area of a Kite?The formula for finding the area of a kite is given as:
Area = 1/2 × (product of the lengths of the diagonals)
Given the following:
Length of diagonal 1 = 10 meters
length of diagonal 2 = 25 meters
Area = 1/2 × (product of the lengths of the diagonals) = 1/2 × (10 × 25)
Area of kite = 1/2 × (250)
Area of kite = 1/2 × (250)
Area of kite = 125 square meters.
Learn more about the area of a kite on:
https://brainly.com/question/2292872
#SPJ1
PLS SOLVE ASAP. I will mark brainlest.
Answer:
• [tex](w \cdot u) (7)[/tex] = [tex]\bf 8[/tex]
• [tex](u \cdot w) (7)[/tex] = [tex]\bf 22[/tex]
Step-by-step explanation:
We are given:
[tex]u(x) = x^2 + 6[/tex]
[tex]w(x) = \sqrt{x + 9}[/tex].
• [tex](w \cdot u) (7)[/tex]. read as "w of u of 7", means we have to input 7 into the function [tex]u(x)[/tex], and use the output we get as input for the function [tex]w(x)[/tex] :
[tex](w \cdot u) (7)[/tex]
⇒ [tex]w(u(7))[/tex]
⇒ [tex]w(7^2 + 6)[/tex]
⇒ [tex]w(55)[/tex]
⇒ [tex]\sqrt{55 + 9}[/tex]
⇒ [tex]\sqrt{64}[/tex]
⇒ [tex]\bf 8[/tex]
• Similarly, we can evaluate [tex](u \cdot w) (7)[/tex] :
[tex](u \cdot w) (7)[/tex]
⇒ [tex]u(w(7))[/tex]
⇒ [tex]u(\sqrt{7 + 9})[/tex]
⇒ [tex]u(\sqrt{16})[/tex]
⇒ [tex]u(4)[/tex]
⇒ [tex]4^2 + 6[/tex]
⇒ [tex]\bf 22[/tex]
The answers are :
(w o u)(7) = 8
(u o w)(7) = 22
To find the first answer, substitute u(x) in w(x), and set x = 7.
u(7) = 7² + 6 u(7) = 49 + 6u(7) = 55w(u(7)) = √(55 + 9)w(u(7)) = √64w(u(7)) = 8(w o u)(7) = 8To find the second answer, substitute w(x) in u(x), and set x = 7.
w(7) = √(7 + 9)w(7) = √16w(7) = 4u(w(7)) = 4² + 6u(w(7)) = 16 + 6u(w(7)) = 22(u o w)(7) = 22help with math and explain plsss
Step-by-step explanation:
cotθcosθ=1tanθ⋅1cosθ
Use the standard deviation to identify any outliers in the given data set.
{35, 31, 29, 34, 6, 31, 32, 30}
Considering the standard deviation, the data-set has no outliers.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.For the given data-set, the mean is:
(35+31+29+34+6+31+32+30)/8 = 28.5.
Hence the standard deviation is:
[tex]S = \sqrt{\frac{(35-28.5)^2+(31-28.5)^2+(29-28.5)^2+(34-28.5)^2+(6-28.5)^2+(31-28.5)^2+(32-28.5)^2+(30-28.5)^2}{8}} = 8.7[/tex]
A measure is said to be an outlier if it is more than 3 standard deviations for the mean. Hence the thresholds are:
Less than 28.5 - 3 x 8.7 = 2.4.More than 28.5 + 3 x 8.7 = 54.6.Since all values are between 2.4 and 54.6, the data-set has no outliers.
More can be learned about the standard deviation of a data-set at https://brainly.com/question/24754716
#SPJ1
how many lengths of strings measuring 0.8meters long can be cut from a piece of string measuring 0.5kilometers
0.0016
reduce expression if possible by canceling the common factors
If two qrs complexes are less than 15 mm apart (three large boxes), what does this signify?
What this has to signify would be the fact that there is a the spread of a stimulus through the ventricles.
What is the QRS complex?This is used to refer to the term that has to do with the combination of the different types of waves. These are the Q wave, the R wave as well as the S wave. This is used in ECG measurement. It has to do with the measurement of the chambers of a person heart to check its normal function.
When the ECG are in this category, it can be regarded as a high. This may put a person to have the more likelihood of having a death that is caused by coronary diseases.
Read more on the QRS complex here:
https://brainly.com/question/10842164
#SPJ1
b)______ is the number of times a particular value occurs in a given data
Answer:
the frequency is the number of times a particular value occurs in a given data.
An $8.5$-by-$11$-inch piece of paper is folded in half repeatedly (never being unfolded), each time shortening what was then the longer side. What is the length of the longest side, in inches, immediately after the second fold
Answer:
5.5
Step-by-step explanation:
For the first fold, we cut the 11-inch side in half, resulting in an 8.5-by-5.5-inch piece. After the second fold, we have a 4.25 by 5.5 piece after halving the 8.5 inch side. The length is 5.5 inches.
A study of 860 u.s. atms (automated teller machines) found that the average surcharge for withdrawals from a competing bank was $1.15. (source: public interest research groups) what is known about the atms from a competing bank?
The statement is false as the sample is a few ATMs of the total ATMs in US.
What do you mean by ATM?An automated teller machine, or ATM, is a customized computer that makes it simple for bank account holders to manage their money. One can use it to print a statement of account activity or transactions, check account balances, withdraw or deposit money, and even buy stamps.Customers can carry out simple financial transactions using an automated teller machine (ATM), an electronic banking facility, without the assistance of a branch person or teller.With no assistance from the bank, withdraw money whenever you need to. The consumers' privacy is guaranteed. Rupee withdrawals are quicker than bank withdrawals and do not require standing in long lines. Since no bank employees are involved in the transaction, maintenance costs are lower.Two primary types of automated teller machines (ATMs) exist. One is a basic, straightforward device that lets you check your balance, change your PIN, obtain small statements, and get account notifications. The more sophisticated units offer possibilities for a line of credit and bill payment and cash or check deposits.The sample is only 860 ATMs and not total ATMs in US thus, a sample of 860 ATMs have taken and conducted the survey.
Thus, the statement is false as the sample is a few ATMs of the total ATMs in US.
To learn more about ATMs, refer to:
https://brainly.com/question/27835947
#SPJ4
The equation y = 1000x - 5000 represents the monthly profits of a start-up dry cleaning company. Time in months is x and profit in dollars is y. The first date of operation is when time is zero. However, preparation for opening the business began 3 months earlier with the purchase of equipment and supplies. Graph the linear function for x-values from -3 to 8
The attached graph represents the graph of the linear equation y = 1000x - 5000 on a scale of 1 to 1000 units on both axes
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to graph the linear function?The equation of the linear function is given as:
y = 1000x - 5000
The x values are given as:
x = -3 to 8
This means that the domain of the function is [-3, 8] or -3 <= x <= 8
So, we set x = -3 and x = 8, and we calculate the y values.
So, we have:
y = 1000 * -3 - 5000 = -8000
y = 1000 * 8 - 5000 = 3000
So, we draw two points at (-3, -8000) and (8, 3000) and connect the dots
See attachment for the graph of the function
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ1
