2(x2 + 6) – 3 vy when x = 3 and y = 64.
Answers
Answer:
73
Step-by-step explanation:
you would do distributive property we know x= 3 so on the inside would be 32 now since we are doing distributive property you multiply 32x2 and 6x2
then you add them together and after you subtract 3 from 76 which = 73
Related Questions
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).
Answers
Answer:
x = 5 is the solution
Step-by-step explanation:
See the attachment for table values.
f(x) = g(x) for x = 5
The solution to the equation ...
2.5x -10.5 = 64(0.5^x)
is x = 5.
you randomly choose one shape from the bag. find the number of ways the event can occur. find the favorable outcomes of the event
Answers
(a) The number of ways that the event can occur is 6.
(b) Probabilities are :
1) 1/2, 2) 1/6 and 3) 1/3.
(a) Given a bag of different shapes.
Total number of shapes = 6
So, if we select one shape from random,
total number of ways that the event can occur = 6
(b) Number of squares in the bag = 3
Probability of choosing a square = 3/6 = 1/2
Number of circles in the bag = 1
Probability of choosing a circle = 1/6
Number of stars in the bag = 2
Probability of choosing a star = 2/6 = 1/3
Hence the required probabilities are found.
Learn more about Probability here :
https://brainly.com/question/14210034
#SPJ1
Use curve sketching guidelines to sketch y = x + 3 a) Give the domain in interval notation. b) Identify the Intercepts if any. c) Determine whether there's symmetry. d) Determine any horizontal, vertical or slant asymptotes if they exist. e) Find f 'to determine Intervals of Increase/Decrease. f) Find f" to determine the concavity and any Inflection Point(s). g) Use your answers above to generate the graph of y.
Answers
a) Domain: (-∞, +∞)
b) Intercepts: x-intercept at (-3, 0)
c) Symmetry: No symmetry
d) Asymptotes: No horizontal, vertical, or slant asymptotes
e) Intervals of Increase/Decrease: Increasing for all x
f) Concavity/Inflection Points: Constant concavity, no inflection points
g) Graph: A straight line with a positive slope intersecting the y-axis at (0, 3) and the x-axis at (-3, 0)
a) The domain of the function y = x + 3 is (-∞, +∞) since there are no restrictions on the input x. The graph y=x+3 is sketched below.
b) To find the intercepts, we set y = 0 and solve for x:
0 = x + 3
x = -3
Therefore, the function intersects the x-axis at (-3, 0).
c) There is no symmetry in the function y = x + 3 because it is a linear function.
d) Since y = x + 3 is a linear function, there are no horizontal or vertical asymptotes. Similarly, there are no slant asymptotes.
e) To find the intervals of increase and decrease, we need to find the derivative f'(x):
f'(x) = 1
The derivative f'(x) = 1 is positive for all values of x. This means that the function is always increasing.
f) To find the concavity and any inflection points, we need to find the second derivative f''(x):
f''(x) = 0
The second derivative f''(x) = 0 is always zero for the function y = x + 3, indicating a constant concavity of the function. There are no inflection points.
g) Based on the information above, we can generate the graph of y = x + 3. Since it is a linear function with a positive slope and no inflection points, the graph will be a straight line slanting upwards. It will intersect the y-axis at (0, 3) and the x-axis at (-3, 0).
To know more about Intercepts, refer here:
https://brainly.com/question/14180189
#SPJ4
suppose you were stranded on a desert island without a calendar or clock. how could you tell what time of year it was
Answers
In such a scenario, relying on celestial observations such as the position of the sun, moon, and stars would likely be the primary means to estimate the time of year. Additionally, monitoring weather patterns, temperature fluctuations, and any other observable environmental changes on the island could provide some clues. However, determining the exact time of year would be more challenging without additional reference points or indicators.
If one were stranded on a desert island without a calendar or clock, there are several natural indicators they could use to determine the time of year:
Observation of celestial bodies: By observing the position of the sun, moon, and stars in the sky, I could make rough estimates of the time of year. The sun's path across the sky changes throughout the year, with higher or lower positions at different times. The length of daylight and the position of constellations can also provide clues.Climate and weather patterns: Different times of the year have distinct climate and weather patterns. Observing changes in temperature, humidity, rainfall, or wind patterns can give hints about the season.Plant and animal behavior: Seasonal changes affect the behavior of plants and animals. Blossoming flowers, fruit ripening, migration patterns of birds, or breeding activities of animals can provide valuable information about the time of year.Tides: Monitoring the tides can offer insights into the time of year. Tidal patterns are influenced by celestial bodies, and certain tidal variations can be associated with specific times of the year.By combining these observations and patterns, one could make a reasonable estimation of the time of year, despite the lack of a calendar or clock.
Learn more on: https://brainly.com/question/2950662
#SPJ11
Deborah has $56 in her bank account currently. She earns $8 per hour at her job at the local ice cream shop. Micah has $32 in his bank account and earns $12 per hour at his job mowing lawns. How many hours do they need to work to have the same amount of money in their bank accounts?
Answers
do 3 over 4 and 9 over 12 form a proportion
Answers
Answer:
0 over 12
Step-by-step explanation:
3/4 is equal to 9/12
so your basically taking 9/12 from 9/12
I can't really understand the whole concept of isosceles, can someone help me out??
Answers
Answer:
3
Step-by-step explanation:
The period T, in seconds, of a simple pendulum as a function of its length l, in feet, is given by T(l)=2π 32. 2 l. Express l as a function of T and determine the length of a pendulum with period of 2 seconds. Use 3. 14 for π and round to the nearest hundredth
Answers
The length of a pendulum with a period of 2 seconds is approximately 51.
the formula for the period of a simple pendulum as a function of its length is given as:
t(l) = 2π √(l/32.2)
we can rearrange this equation to solve for l:
t(l) = 2π √(l/32.2)
t(l)/(2π) = √(l/32.2)
[t(l)/(2π)]² = l/32.2
l = 32.2 * [t(l)/(2π)]²
to determine the length of a pendulum with a period of 2 seconds, we can substitute t = 2 seconds into the equation above:
l = 32.2 * [2/(2π)]²
l = 32.2 * [1.2732]²
l ≈ 51.92 feet 92 feet when π is taken to be 3.14 and rounding to the nearest hundredth.
Learn more about pendulum here:
https://brainly.com/question/29268528
#SPJ11
The point (-4,7) lies on the graph of y =(x +8)^2+k. where k is some constant. Which other point must also lie on the same graph?
(12,4)
(-5,72)
(5,72)
(4,12)
Answers
Answer:
No other given point lie on the same graph
Step-by-step explanation:
Equation : \(y =(x +8)^2+k\)
We are given that The point (-4,7) lies on the graph of \(y =(x +8)^2+k.\)
So, Point(-4,7) satisfies the given equation
So,\(7=(-4+8)^2+k\)
7=16+k
-9=k
So, The equation is \(y =(x +8)^2-9\)
Now substitute the given points
(12,4)
\(4=(12+8)^2-9\)
4=400-9
\(4\neq 391\)
So,(12,4) not lies on the graph
(-5,72)
\(72=(-5+8)^2-9\)
72=9-9
\(72\neq 0\)
So,(12,4) not lies on the graph
(5,72)
\(72=(5+8)^2-9\)
72=169-9
\(72\neq 160\)
So,(12,4) not lies on the graph
(4,12)
\(12=(4+8)^2-9\)
12=144-9
\(12\neq 135\)
So,(12,4) not lies on the graph
So, No other given point lie on the same graph
x-15/3 = 18x. How to solve this question? I will mark the first answerer as brainliest.
Answers
Explanation:
X-15/3 = 18x
Multiply both sides by 3
(x-15/3) * 3 = (18x) * 3
x - 15 = 54x
Subtract x from the left hand side
x-x-15 = 54x
-15 = 54x - x
-15 = 53x
Divide both sides by 53
-15/53 = 53x/53
-15/53 = x
30 pts answer correct plzzzz
Answers
Answer:
b
Step-by-step explanation:
b is correct
Answer:
Option 1
Step-by-step explanation:
∠EGB ≅ ∠EHD {Corresponding angles
∵ ∠AGF ≅∠EHD {transitive equality property}
(3.4+6.6)x (1.8+2.7)
Answers
Answer:
Step-by-step explanation:
17.98 don't ask
Answer:
45
Step-by-step explanation:
1. 3.4 + 6.6 can be simplified to 3 + 6 and 0.4 + 0.6
2. 3 + 6 = 9
3. 0.4 + 0.6 = 1
4. 9 + 1 = 10 (3.4 + 6.6 = 10)
1. 1.8 + 2.7 can use the same thing
2. 1 + 2 = 3
3. 0.8 + 0.7 = 1.5
4. 3 + 1.5 = 4.5 (1.8 + 2.7 = 4.5)
End: 10 x 4.5 = 45!
Hope this helped!
Who called King George III "the Royal Brute of Great Britain."?
Answers
The American founding father and litterateur Thomas Paine referred to as King George III" the Royal Brute of high-quality Britain."
Paine was a main figure within the American Revolution and was a fierce advocate of american independence from British rule. He wrote a series of influential pamphlets, which includes" Common feel" and" The Rights of man," which helped to excite assist for the progressive reason.
In his thoughts, Paine often blamed the British monarchy and its leaders, including King George III, whom he saw as a dictator and an oppressor. His slicing phrases helped to rally reinforcement for the purpose of America self-reliance and performed a significant element in shaping the path of history.
Learn more about Thomas Paine:-
https://brainly.com/question/20520322
#SPJ4
ILL MARK THE BRAINLIEST, PLEASE HELP WITH THIS MATH QUESTION (HIGH SCHOOL)
Answers
Answer:
Well I know that a and b must equal the same,
They both equal zero
Step-by-step explanation:
a=0
a=\(\frac{64}{b}\)
Step-by-step explanation:
So, the question is asking for us to find \((ab)^{\frac{3}{2} }\).
Let's find a and b, then plug it into the expression.
\(\frac{a}{3+\sqrt{5} } = \frac{3-\sqrt{5} }{b} \\\\Multiply//3+\sqrt{5} * both//sides\\a = \frac{(3+\sqrt{5} )*(3-\sqrt{5} )}{b} \\\\Solve\\a = \frac{4}{b}\\ Do//the//same//steps//but//for//b\\The//answer//for//b//is:\\b = \frac{4}{a} \\Now//insert//into//expression\\((\frac{4}{b})(\frac{4}{a}))^{\frac{3}{2} } \\\\\frac{64}{b^{\frac{3}{2} }a^{\frac{3}{2} } }\)
The diagram shows the graph of y=2x+c, where c is a constant.
Find the value of k.
Answers
Answer:
k=6.5
Step-by-step explanation:
by the graph, when x=0, y=-3
y = 2x+c
-3=2(0)+c
then,
c=-3
for y = 10,
10=2(k)-3
k=6.5
I WILL GIVE BRAINLIEST:)) Use the table to find the products of the two polynomials. Write your answer in descending order.
Answers
Answer:
A) 4\(x^{4}\)-4\(x^{3}\)-16\(x^{2}\)+16x
B)4\(x^{4}\)-4\(x^{3}\)-16\(x^{2}\)+16x
Step-by-step explanation:
look at picture
Consider F and C below. F(x, y) = (2x, 8y), C is the arc of the parabola x = y2 from (4, -2) to (1, 1) (a) Find a function f such that F = Vf. f(x, y) = (b) Use part (a) to evaluate les F. dr along the given curve C.
Answers
The zeros of the quadratic function f(x) = 8x² - 16x - 15 are x = 1 – and x = 1.A quadratic function is a type of polynomial function where the highest exponent of the variable (usually x) is 2.
In the standard form of a quadratic function, it is represented by f(x) = ax² + bx + c, where a, b, and c are constants.How to find the zeros of a quadratic function, The zeros of a quadratic function can be found by solving the quadratic equation ax² + bx + c = 0. The solutions of the quadratic equation are the x-intercepts or the zeros of the quadratic function. In the given quadratic function, f(x) = 8x² - 16x - 15, a = 8, b = -16, and c = -15.
Substituting the values of a, b, and c in the quadratic formula,x = [-b ± √(b² - 4ac)] / 2awe get,x = [-(-16) ± √((-16)² - 4(8)(-15))] / 2(8)x = [16 ± √(256 + 480)] / 16x = [16 ± √736] / 16x = [16 ± 2√184] / 16x = [2(8 ± √184)] / 16x = (8 ± √184) / 8x = 1 ± 0.5√46Therefore, the zeros of the quadratic function f(x) = 8x² - 16x - 15 are x = 1 – and x = 1.
To know more about factorization visit:
https://brainly.com/question/25998167
#SPJ11
Evaluate cos 300' without using a calculator,
2
O A. 1 /
O B. 1
о
c
va
Answers
Answer:
\(Cos \ 300 = \dfrac{1}{2}\)
Step-by-step explanation:
\(\sf \boxed{Cos \ (2\pi - \theta) = Cos \ \theta}\)
Cos 300 = Cos ( 360 - 60)
= Cos 60
\(\sf = \dfrac{1}{2}\)
The Jurassic Zoo charges $6 for each adult admission and $3 for each child. The total bill for the 187 people from a school trip was $648. How many adults and how many children went to the zoo?
Answers
Answer:
29 adults went to the zoo
158 children went to the zoo
Explanation:
Let x represent the number of adults that went to the zoo
Let y represent the number of children that went to the zoo
From the question, we can go ahead and set up the below system of equations;
\(\begin{gathered} x+y=187\ldots\ldots\ldots\text{Equation 1} \\ 6x+3y=648\ldots\ldots\text{.}\mathrm{}\text{Equation 2} \end{gathered}\)We'll go ahead and solve the above system of equations simultaneously following the below steps;
Step 1: Express y in terms of x in Equation 1;
\(\begin{gathered} x+y=187 \\ x-x+y=187-x \\ y=187-x\ldots\ldots\ldots\text{.Equation 3} \end{gathered}\)Step 2: Substitute y in Equation 2 with (187 - x) and solve for x;
\(\begin{gathered} 6x+3(187-x)=648 \\ 6x+561-3x=648 \\ 3x+561=648 \\ 3x=648-561 \\ 3x=87 \\ \frac{3x}{3}=\frac{87}{3} \\ x=29 \end{gathered}\)So 29 adults went to the zoo
Step 3: Substitute x in Equation 3 with 29 and solve for y;
\(\begin{gathered} y=187-29 \\ y=158 \end{gathered}\)So 158 children went to the zoo
O is the center of the circle, if ∠OPQ = 25° & ∠ORQ = 20°, find ∠PQR and ∠POR
Answers
The values of ∠PQR = 45° and ∠POR = 90°.
The circumference of a circle is defined as its linear distance around it. In other words, if a circle is opened to form a straight line, the length of that line equals the circumference of the circle.
The radius of a circle is the distance between the circle's center and any point on its circumference. It is usually denoted by the letters 'R' or 'r'.
Given that
O is the center of the circle, if ∠OPQ = 25° &∠ORQ = 20°
We have to determine the values of ∠PQR and ∠POR
Sol. OP = OQ
⇒∠OQP = ∠OPQ = 25° [Radii of the same circle]
Similarly, ∠OQR = 20°
∠PQR = 25° + 20°
∠PQR = 45°
Furthermore ∠POR = 2 ∠PQR [the angle at the centre is twice the angle at the circumference].
⇒∠POR = 2 × 45°
∠POR = 90°.
Therefore the values of ∠PQR = 45° and ∠POR = 90°.
To learn more about circles visit
https://brainly.com/question/11213974
#SPJ1
Bryce practice his piano for 1/3 hour each day. How many hours each week does Bryce been practicing piano?
Answers
Answer: 2¹/₃ hours per week
Step-by-step explanation:
Bryce practices his piano for 1/3 hours each day.
The number of days in a week is 7 days so to find out the number of hours he practices per week, multiply the number of hours practiced per day by 7.
= 1 /3 * 7
= 7 / 3
= 2¹/₃ hours per week
how many acres are in a piece of property measuring 620' x 430'?
Answers
There will be 6.11 acres in a piece of property measuring 620' x 430'
To calculate the number of acres in a piece of property, you need to convert the measurements from feet to acres.
1 acre is equal to 43,560 square feet.
Given that the property measures 620' x 430', you can calculate the area in square feet by multiplying the length by the width: 620' x 430' = 266,600 square feet.
To convert the area from square feet to acres, divide the square footage by 43,560: 266,600 square feet / 43,560 = 6.11 acres (rounded to two decimal places).
Therefore, the piece of property measures approximately 6.11 acres.
Learn more about acres at https://brainly.com/question/32041761
#SPJ11
Which description best describes an Irrational number? (2 Points) A repeating decimal A fraction A perfect Square A non-terminating non-repeating decimal
Answers
If tan m = One-half and tan n = –6, what is the exact value of tan(m + n)?
Negative StartFraction 11 Over 2 EndFraction
Negative StartFraction 11 Over 8 EndFraction
StartFraction 11 Over 8 EndFraction
StartFraction 11 Over 4 EndFraction
Answers
Answer:
B. -11/8
Step-by-step explanation:
Given:
tan m = ½
tan n = -6
Required:
Exact value of tan(m + n)
Solution:
Find m and n:
\( tan (m) = \frac{1}{2} \)
\( tan (m) = 0.5 \)
\( m = tan^{-1}(0.5) \)
m = 26° (approximated)
\( tan (n) = -6 \)
\( n = tan^{-1}(-6) \)
n = -80° = 280° (i.e. 360 - 80)
Exact value of tan(m + n) = tan(26 + 280)
tan(306)
tan(307) = -1.37638192 ≈ -11/8
Answer:
B) -11/8
Step-by-step explanation:
its correct on edge
there are two separate stacks of circular coins. the first stack has h coins stacked ontop of each other to form a cylinder. the second stack has h coins stacked on top of each other to form an oblique cylinder.do the cylinders have the same volume? why or why not?
Answers
The cylinders formed by stacking circular coins on top of each other will not have the same volume if they are formed in different ways. In this case, the first stack forms a cylinder with a vertical axis, while the second stack forms an oblique cylinder with an axis that is not vertical.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder. Since both stacks have the same number of coins stacked on top of each other (h coins), the height of both cylinders will be the same. However, the radius of the base will be different for the two cylinders.
In the case of the first stack, the coins are stacked directly on top of each other to form a cylinder with a base that is perfectly circular. Therefore, the radius of the base is the same for every coin in the stack. This means that the radius of the base of the cylinder will be constant, and the volume of the cylinder will only depend on the height.
On the other hand, in the case of the second stack, the coins are not stacked directly on top of each other. Instead, they are arranged in a slanted manner, forming a base that is not perfectly circular. As a result, the radius of the base will vary depending on the position of the coin in the stack. This means that the volume of the oblique cylinder will depend on both the height and the varying radius of the base.
Therefore, the cylinders formed by the two separate stacks of circular coins will have different volumes due to the difference in the base shape and the varying radius of the base in the oblique cylinder.
To learn more about oblique cylinder :brainly.com/question/30941473
#SPJ11
Help me pls I am confused for al parts of this pls help.
Answers
Answer:
i think it's 5/4
Step-by-step explanation:
Jeremy can buy two tacos at 75 cents each and a medium drink for $1.00—or a "value meal" with three tacos and a medium drink for $3. For him, the marginal cost of the third taco would be?
A. 0
B. $0.75
C. $1.00
D. $0.50
Answers
Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.
Buying two tacos individually:
Cost of two tacos: 2 tacos * $0.75/taco = $1.50Buying the value meal with three tacos:
Cost of the value meal: $3.00To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:
Marginal cost = Cost of buying two tacos individually - Cost of the value mealMarginal cost = $1.50 - $3.00Marginal cost = -$1.50
The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A librarian is expanding some sections of the city library. He buys books at a special price from a dealer who charges one price for any hardback book and another price for any paperback book. For the children's section, Mr. Howard purchased 100 new hardcover books and 72 new paperback books, which cost a total of $1,760. He also purchased 97 new hardcover books and 72 new paperback books for the adult fiction section, spending a total of $1,718. What is the special price for each type of book?The special price is $ for hardcover books and $ for paperback books.
Answers
The system of equation is 100x + 72y = 1760 and 97x + 72y = 1718. The special price is $14 for hardcover books and $5 for paperback books.
What is linear equation?Equations are declarations of equality between two mathematical expressions containing one or more variables. A linear equation is one in which the maximum power of the variable is one. Any arithmetic equation can be solved using linear equations, which can also be used to find the precise value or root of the variable that answers the question.
Let us suppose the price of hardback covers = x.
Let us suppose the price of paperback covers = y.
Given that, Mr. Howard purchased 100 new hardcover books and 72 new paperback books, which cost a total of $1,760.
100x + 72y = 1760........(1)
He also purchased 97 new hardcover books and 72 new paperback books for the adult fiction section, spending a total of $1,718.
97x + 72y = 1718.........(2)
The system of equation to describe the situation is:
100x + 72y = 1760.
97x + 72y = 1718
To find the solution subtract the two equations:
100x + 72y = 1760.
- (97x + 72y = 1718)
Thus,
3x = 42
x = 14
Substitute the value of x in equation 1:
100(14) + 72y = 1760
1400 + 72y = 1760
72y = 360
y = 5
Hence, the special price is $14 for hardcover books and $5 for paperback books.
Learn more about linear equations here:
https://brainly.com/question/29739212
#SPJ1
a=14; what does 15+5+a equal
Answers
Answer:
34
Step-by-step explanation:
So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:
15 + 5 + 14
15 + 5 = 20
20 + 14 = 34
All you do is replace a with 14 then add 15, 5 and 14 getting 34.
HOPE IT HELPED
64 - (16/3)= 208/3
I need help understanding HOW the answer to this is 208/3. Please give an explanation ASAP!!
Answers
Answer:
64 - (-16/3) = 208/3
Step-by-step explanation:
I think the problem may be written incorrectly. For this to be correct, it must be 64- (-16/3) = 208/3.
To get 203/3 you have to find a common denominator because in order to subtract (or add) fractions, they must have the same denominator.
However, 64 does not have the same denominator as -16/3!!
We can write 64 as 64/1, and to give it the same denominator as -16/3, we need to multiply the denominator by 3
BUT we have to do the same thing to the numerator!!! We can't only change the denominator. If one changes, the other has to change too.
So lets multiply the numerator and denominator by 3. 64 x 3 = 192
1 x 3 = 3
Now we have 192/3
Subtracting a negative number is the same as adding. So instead we can write 192/3 + 16/3
Add 192 and 16 to get 208, so now you have 208/3