Answers
Answer:
12
Step-by-step explanation:
Related Questions
Use the Distributive Property to expand the expression. (r + 11)2
Answers
Answer:
2r+22 because you have to multiply the r by 2 and then you also have to multiply the 11 by 2 making it 2r+22
multiply each number/variable in the parentheses by 2
Find a formula for the exponential function passing through thepoints (-1, 2/5 ) and (3,250)
Answers
The exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
what are functions?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
from the question:
This is the shape of the exponential function:
f(x) = a *\(b^x\)
where a represents the starting point and b represents the exponential function's base.
We must solve the system of equations to determine the values of a and b that meet the requirements:
a * \(b^(-1)\) = 2/5 (equation 1)
a *\(b^3\)= 250 (equation 2)
We can solve for an in equation 1 by multiplying both sides by b:
a = (2/5) * b
Substituting this expression into equation 2, we get:
(2/5) * b *\(b^3\) = 250
Simplifying, we get:
\(b^4 = 3125\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
to know more about functions visit:
https://brainly.com/question/12431044
#SPJ1
The red line in the figure is an altitude of triangle HJL. Using right angle
trigonometry, write an equation involving sinH.
Answers
Answer:
x = z sin H
Step-by-step explanation:
\(\sin H = \frac{x}{z} \\ \\ \implies \: x = z \: \sin H\)
how many positive integers of 3 digits may be made from the digit 1,2,3,4,5, each digit may be used just once
Answers
60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.
According to the question,
We have the following information:
3 digits integers are to be made from 1,2,3,4 and 5
So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.
Now, we have:
Total number of digits = 5
Number of digits to be made = 3
So, we have:
\(^{5} P_{3}\)
Solving this expression:
5*4*3
60
Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.
To know more about digits here
https://brainly.com/question/28062468
#SPJ4
who proposed that a punched card be used for counting the census?
Answers
Herman Hollerith proposed the use of punched cards for counting the census.
The punched card system for counting the census was proposed by Herman Hollerith. Hollerith was an American inventor and statistician who developed the punched card tabulating machine. He presented his idea in the late 19th century as a solution to the challenge of processing and analyzing large amounts of data efficiently.
Hollerith's system involved encoding information on individual cards using punched holes to represent different data points. These cards were then processed by machines that could read and interpret the holes, enabling the automatic counting and sorting of data. The punched card system revolutionized data processing, making it faster and more accurate than manual methods.
Hollerith's invention laid the foundation for modern computer data processing techniques and was widely adopted, particularly by government agencies for tasks like the census. His company eventually became part of IBM, which continued to develop and refine punched card technology.
In summary, Herman Hollerith proposed the use of punched cards for counting the census. His invention revolutionized data processing and laid the groundwork for modern computer systems.
Know more about census here,
https://brainly.com/question/32843211
#SPJ11
40% of the students like music, and 12% of the students like music and dance.what percent of those that like music also like dance?
Answers
the students that like music also like dance is 30%.
What is the percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.
40% of the students like music
12% of the students like music and dance.
p(A)=0.4
p(A∩B)=.12
p(A|B)= p(A∩B)/p(A)
=0.4/0.12= 0.3
Hence the students that like music also like dance is 30%.
Learn more about percentages, by the following link.
https://brainly.com/question/24304697
#SPJ4
Let B(t) = t represent the rate at which Ryan buys board games, measured in board games per year, after t years for t > 0. Let D(t) = 3t represent the rate at which Ryan donates the board games, losing them from his collection, measured in board games per year after t years for t> 0. If Ryan has 80 board games at t = 0 years, to the nearest board game, how many board games does Ryan have at t = 3 years? A. 76 B. 80 C. 84 D. 88
Answers
The number of board games Ryan has at t = 3 years can be determined by calculating the net change in his collection over that time period.
In the given scenario, Ryan buys board games at a rate of B(t) = t per year, and donates them at a rate of D(t) = 3t per year. To find the net change in his collection, we need to subtract the rate of donation from the rate of acquisition.
At t = 3 years, the rate at which Ryan buys board games is B(3) = 3 games per year, and the rate at which he donates board games is D(3) = 3(3) = 9 games per year. Therefore, the net change in his collection is 3 - 9 = -6 games per year.
Since the net change is negative, it means that Ryan is losing board games from his collection at a faster rate than he is acquiring them. Starting with 80 board games at t = 0 years, after 3 years, he would have 80 - 6(3) = 80 - 18 = 62 board games.
Therefore, to the nearest board game, Ryan would have approximately 62 board games at t = 3 years. Hence, the answer is not listed among the options given.
Learn more about subtract here: https://brainly.com/question/13619104
#SPJ11
(t) dr. ringo star's biology class had a standard deviation on the final exam equal to 9.2. riff raff obtained a raw score on the final exam equal to 85 which corresponds to a z-score of 1.5 on the final exam. what was the mean of dr. ringo star's biology final exam (round to two decimal places)?
Answers
71.2 was the mean of dr. ringo star's biology final exam when z-score of 1.5 .
What does "z-score" mean?
The Z-score provides information on how far a given value deviates from the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations above or below the mean a specific data point falls. In essence, standard deviation represents the degree of variability present in a given data collection.How many standard deviations a given measurement deviates from the mean is shown by its Z-score (also known as standard score). In other words, your data are simply rescaled or standardized. Each observation in a distribution is assigned a Z-score to indicate its exact location.X - μ/σ = Z
85 - μ/9.2 = 1.5
μ = 85 - ( 1.5 * 9.2 )
μ = 71.2
Learn more about Z-score
brainly.com/question/15016913
#SPJ4
An angle measures 116.6° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
148.3° and 31.7°
Step-by-step explanation:
Supplementary angles add up to 180°
Let x represent the angle we are trying to find
Let y represent the supplementary angle of x
We have x + y = 180 [1]
We are given
x - y = 116.6 [2]
Add both equations. [1] + [2]
x + y + x - y = 180 + 116.6
2x = 296.6
x = 296.6 / 2 = 148.3
y = 180 - 148.3 = 31.7
Therefore the two angles measure 148.3° and 31.7°
Check:
148.3 - 31.7 = 116.6
Convert slope intercept form for 4y-12x=4x+3
Answers
Answer:
y = 4x + 3/4
Step-by-step explanation:
The slope intercept form is y = mx + b
Our equation is 4y - 12x = 4x + 3
4y - 12x = 4x + 3
4y = 16x + 3
y = 4x + 3/4
So, the answer is y = 4x + 3/4
"Heavy Water" is a name given to a compound used in some nuclear reactors. Heavy water costs about $1,500 per gallon. If a nuclear plant spent $10,500 on heavy water, how many gallons of water were bought?
Answers
Answer:
7 gallons of water were bought
Step-by-step explanation:
This question can be solved using a rule of three.
One gallon costs $1,500. How many gallons cost $10,500?
1 gallon - $1,500
x gallons - $10,500
\(1500x = 10500\)
\(x = \frac{10500}{1500}\)
\(x = 7\)
7 gallons of water were bought
How do I solve 7+4.5 ( 1 + 4x) = -17.5 I have to explain how to do it
Answers
11.5 + 18x = -17.5
-11.5. -11.5
18x = - 29
Then you divide both sides by 18 to isolate the variable
Help please I’ll add more points for the answer and working out
Answers
\(▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ \)
a) A = 4Bb) A = 20c) B = 9solution is in attachment !
Find the values of X and Y in the parallelogram.
Answers
Answer: x=-5, y=20
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so AB=CD.
\(x^{2}-15=-2x\\x^{2}+2x-15=0\\(x+5)(x-3)=0\\x=-5, 3\)
But as distance must be positive, as CD=-2x, x must be negative, so x=-5.
Opposite angles of a parallelogram are congruent, so \(m\angle D=m\angle B\).
\(4y+26=106\\4y=80\\y=20\)
Raúl is mixing a cleaning spray. The instructions say to combine 2 cups vinegar with 1 cup water. Raúl wants to make 15 cups of spray. How many cups of vinegar and how many cups of water should Raúl use?
Answers
vinegar = 5x2 = 10 cups
water = 5x1 = 5 cups
what's cubed root / 3 time's negative 1 minus 8 time's 3
Answers
Answer:
ummmm i uhhh :/
Step-by-step explanation:
Determine the number of solutions for the quadratic function f(x) = -x^2 + 3x - 9.
Answers
Answer:
0
Step-by-step explanation:
Rewrite the equation as x^2-3x+9=0
find the determinant.
D = b^2-4ac = (-3)^2-4*1*9 <0
no solution
Jamal is 8 miles away from his house. He rides his bike home toward home at a speed of 12 mph..
How far away from home is he after a half hour?
Answers
Hi there!
Your answer to this question would be, B) 2 miles.
Happy to Help!
One example of a mathematical model is an equation that describes the relationship between two quantities.
a. True
b. False
Answers
Answer:
True
Step-by-step explanation:
Linear equations are often used to model the relationship between the dependent variable that is affected by changes in the independent variable.
For instance, the linear function: f(x) = 2x + 3, where f(x) is the output (dependent variable) depends on the value of the input, x (independent variable).
Therefore, the correct answer is True.
Which expressions are equivalent to this expression? y + y + y + 3z
Answers
The expressions that are equivalent to the expression y + y + y + 3z are 3y + 3z and 3(y + z)
How to determine the expressions that are equivalent?From the question, we have the following parameters that can be used in our computation:
y + y + y + 3z
To start with, expressions that are equivalent are expressions that have equal values when evaluated
Using the above as a guide, we have the following:
Evaluate the like terms in y + y + y + 3z
So, we have the following representation
y + y + y + 3z = 3y + 3z
Factor out 3 from the expression
So, we have the following representation
y + y + y + 3z = 3(y + z)
Hence, the equivalent expressions of y + y + y + 3z are 3y + 3z and 3(y + z)
Read more about equivalent expressions at
https://brainly.com/question/15775046
#SPJ1
Can we form a triangle with length 4cm 5cm 9cm?.
Answers
Answer:
No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:
5 + 4 is not greater than 9.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Brian has $100 in his pocket. As he is walking home 1/4th of the money falls out of his wallet. Of the remaining money, he uses $15 to buy girl scout cookies. Lastly, of the remaining money he loses 1/3rd. How much money does he have left by the time he makes it home?
Answers
Answer:
$40
Step-by-step explanation:
Brian starts at $100, then loses 1/4th of the money,
100/4 = 25,
then you subtract 25 from 100, which gives you 75
With the remaining $75, he spends $15 on girl scout cookies,
75 - 15 = 60
He then has $60 remaining, but while walking home, loses 1/3 of the total amount.
60/3 = 20,
you then subtract 20 from 60, which gives you 40
Therefore, $40 is what is remaining.
a farmer finds that if she plants 95 trees per acre, each tree will yield 80 bushels of fruit. she estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. how many trees should she plant per acre to maximize her harvest?
Answers
She should plant 118 trees per acre to maximize her harvest area. This will yield 96 bushels per tree.
95 trees per acre x 80 bushels per tree = 7600 bushels
96 trees per acre x 77 bushels per tree = 7392 bushels
97 trees per acre x 74 bushels per tree = 7158 bushels
98 trees per acre x 71 bushels per tree = 6938 bushels
99 trees per acre x 68 bushels per tree = 6732 bushels
100 trees per acre x 65 bushels per tree = 6500 bushels
101 trees per acre x 62 bushels per tree = 6262 bushels
102 trees per acre x 59 bushels per tree = 6038 bushels
103 trees per acre x 56 bushels per tree = 5828 bushels
104 trees per acre x 53 bushels per tree = 5532 bushels
105 trees per acre x 50 bushels per tree = 5250 bushels
106 trees per acre x 47 bushels per tree = 4978 bushels
107 trees per acre x 44 bushels per tree = 4716 bushels
108 trees per acre x 41 bushels per tree = 4452 bushels
109 trees per acre x 38 bushels per tree = 4188 bushels
110 trees per acre x 35 bushels per tree = 3925 bushels
111 trees per acre x 32 bushels per tree = 3663 bushels
112 trees per acre x 29 bushels per tree = 3407 bushels
113 trees per acre x 26 bushels per tree = 3151 bushels
114 trees per acre x 23 bushels per tree = 2895 bushels
115 trees per acre x 20 bushels per tree = 2300 bushels
116 trees per acre x 17 bushels per tree = 1972 bushels
117 trees per acre x 14 bushels per tree = 1638 bushels
118 trees per acre x 11 bushels per tree = 1306 bushels
Therefore, 118 trees per acre will yield the highest harvest of 1306 bushels.
Learn more about area here
https://brainly.com/question/13194650
#SPJ4
Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. which inequality models the number of weeks, x, Jacob can withdraw for $40 to maintain the minimum balance required?
Answers
Start writing an expression that represents the balance of the account after the withdrawal each week
\(1000-40x\)then, complete the inequality taking into account the conditions of leaving a minimum of $400
\(1000-40x\ge400\)solve the inequality
\(\begin{gathered} -40x\ge400-1000 \\ -40x\ge-600 \\ 600\ge40x \\ \frac{600}{40}\ge x \\ 15\ge x \\ x\leq15 \end{gathered}\)Which expression is equivalent to 16^3?
a. 2^7
b. 2^11
c. 2^12
d. 2^64
Answers
Answer:
C.
Step-by-step explanation:
a. 2^7 = 128
b. 2^11 = 2048
c. 2^12 = 4096
d. 2^64 = 1.844674407 * 10^19
16^3 = 4096
what is a paired t-test? question 4select one: a. given a single numeric variable, a test for that variable's population mean b. given a single categorical variable, a test for that variable's population mean c. given a two numeric variables, a test for the difference of those variable's population means d. given a two numeric variables measured on the same or very similar units, a test for the mean of the differences between those variables
Answers
d. A paired t-test is a statistical test used to determine if there is a significant difference between the means of two related or paired samples.
It is used when two numeric variables are measured on the same or very similar units and the goal is to test for the mean of the differences between those variables. For example, it could be used to test whether a new drug treatment is significantly more effective than a placebo treatment, by measuring the difference in response between the same individuals receiving the two treatments. The paired t-test is also sometimes called a dependent samples t-test or a matched pairs t-test.
To know more about T-test,
https://brainly.com/question/29443181
#SPJ11
11(8+7x)+21 ANSWER ASAP PLZ
Answers
Answer:
First we distribute 11 which gives us 88 + 77x. 88 + 77x + 21 = 77x + 109.
Answer:
Brainliest!!!
hint: if you need your answer to be answered asap put more points
edit: nvm you put a decent account
Step-by-step explanation:
11(8+7x)+21
88+77x+21
77x+109
Will mark as brainliest!!!!!
Just need help with 5-8
Answers
how do i delete this
Answer:
For Question 5, X=7.5
Step-by-step explanation:
This triangle is bisected by an altitude. This proves that the triangle is cut in half. Because the bisected base lengths are equal, we know that 2x=15. Divide 15 by 2 to get 7.5 .
x[infinity] k=0 4 5(−2)k (−3)k =
Answers
X[infinity] k=0 4 5(−2)k (−3)k = 24/11.
Using the formula for the sum of an infinite geometric series, with first term a=4, common ratio r=5(-2)(-3)^(-1)=-5/6:
X[infinity] k=0 4 5(−2)k (−3)k = a / (1 - r) = 4 / (1 - (-5/6)) = 4 / (11/6) = 24/11.
Therefore, X[infinity] k=0 4 5(−2)k (−3)k = 24/11.
To know more about geometric series refer here:
https://brainly.com/question/4617980
#SPJ11
Pls answer answer pls
Answers
Answer:
48 :)
Step-by-step explanation:
120 divided by 10 = 12
12 x 4 = 48
Answer:
yo momma
Step-by-step explanation:
ha