Answer:
0.2, 0.21, 0.25 (1/4), 0.2666666 (4/15)
Step-by-step explanation:
The graph shows the savings in Andre's bank account.
Explain what the vertical intercept represents in this situation.
Answer:
The y-intercept represents the initial (opening) amount in Andre's bank account: $40
Step-by-step explanation:
The y-intercept represents the initial (opening) amount in Andre's bank account: $40
Answer:
The initial amount
Step-by-step explanation:
Let's find equation of line
(0,40)(4,60)Slope
\(\\ \tt\hookrightarrow m=60-40/4=5\)
Equation in point slope form
\(\\ \tt\hookrightarrow y-40=5(x)\)
\(\\ \tt\hookrightarrow y=5x+40\)
A picture frame has a perimeter of 100 cm. It’s width is 4 cm less than twice its length. What is the width of the picture
frame?
18 cm
32 cm
48 cm
50 cm
Jessica earned $14 by baby sitting 4 hours
What's Jessica rate and Jessica's Unit Rate?
Answer:
$3.50
Step-by-step explanation:
14 ÷ 4 = 3.5
good luck, i hope this helps :)
For the function f(x)=x+4−−−−−√
, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is
The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.
To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.
The change in the function between x = 2 and x = 6 is:
f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6
The change in the input variable between x = 2 and x = 6 is:
6 - 2 = 4
So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:
(√10 - √6) / 4
To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:
(√10 - √6) / 4 ≈ 0.29
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lamonte car used 5 gallons to travel 125 miles.how many gallons of gas would he need to travel 400 miles
Answer:
Step-by-step explanation:
1. Get mileage per gallon by dividing miles traveled by gallons used
\(\frac{125}{5} = 25 mpg\\\)
2. Divide miles you want to travel by the mileage per gallon you got on the first step
\(\frac{400}{25} = 16 gallons\)
Loren already knows that he will have $500,000 when he retires. If he sets up a payout annuity for 30 years in an account paying 10% interest, how much could the annuity provide each month?
Loren could receive a monthly payout of approximately $4,646.81 from the annuity to last for 30 years at a 10% annual interest rate.
What is annuity?
A contract between you and an insurance company known as an annuity entails you making a lump sum payment or a series of payments in exchange for regular payments starting either right away or in the future.
To calculate the monthly payout that Loren can receive from an annuity for 30 years, use the formula for the present value of an annuity -
PV = PMT x [(1 - (1 + r)^(-n)) / r]
Where PV is the present value of the annuity (the amount of money Loren has at retirement), PMT is the monthly payout, r is the monthly interest rate (10%/12 = 0.00833), and n is the number of monthly payments (30 years x 12 months/year = 360 months).
Substituting the given values into the formula -
$500,000 = PMT x [(1 - (1 + 0.00833)^(-360)) / 0.00833]
Solving for PMT -
PMT = $500,000 / [(1 - (1 + 0.00833)^(-360)) / 0.00833]
PMT = $4,646.81
Therefore, The value is obtained as $4,646.81.
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Vashti and Stacy measure the width of the gym at their school. It is 17 yards wide.
[Hint: There are 36 inches in 1 yard.]
Part A
column first. Vashti writes the partial
3 by the tens column first.
Stacy is finding the width of the gym, in inches, by adding the partial products of
17 x 36. She finds three of the partial products. Which statement explains
the partial product Stacy is missing?
Which explanation correctly describe
the same or different?
Width of the gym = 42 + 60 + 300+?
Stacy and Vashti's products w
products can be added in any
Stacy is missing the partial product, 21, because she still needs to find
3 ones x 7 ones.
Stacy and Vashti's products we
products have to be multiplied
factors in the wrong order, so s
Vashti.
Stacy is missing the partial product, 210, because she still needs to
find 3 tens x 7 ones.
Stacy is missing the partial product, 600, because she still needs to
find 6 tens x 1 ten
Stacy and Vashti's products wo
products have to be multiplied f
factors in the wrong order, sos!
Stacy
3
5
Esther wants to solve the problem using an equation. Help her write an equation to determine how many text messages Lexie could send in any number of minutes.
Find the missing value in Kenny’s table.
Solve Esther’s equation. Will she get the same answer as Kenny?
What is Lexie’s unit rate? That is, how many text messages can she send in
minute
Answer2/0
Step-by-step explanation:
HELP PLEASE NEED IT THANKS
Answer:
<
Step-by-step explanation:
1) Substitute 5 into the question
\(\frac{4(5)}{4}\)\(2(5)-3\)2) Work out the sides
\(\frac{4(5)}{4} =5\)\(2(5)-3=7\)3) Put it into an inequality
5 < 7
Hope this helps, have a great day!
what is the length of the third side of the park in Tania's drawing
Question 4 of 16
If the probability of rain today is 35%, what is the probability that it will not rain
today?
A. 100%
B. 65%
C. 35%
D. 50%
Answer:
I think the answer is B. 65%
Find the angle, in degrees between 0 and 360∘, which intersects the unit circle at the point (−√3/2,−1/2).
Do not include the degree symbol in your answer. For example, if the answer was 20∘, you would enter 20.
An interviewer officer selects a person not suitable for the job is:
Select one:
a. Two Directional Bias
b. None of these
c. Three Directional Bias
d. Unbaised Error
e. one direction Bias
Note: Answer B is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.
The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.
In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.
An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.
There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.
The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.
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In calculus, it can be shown that
e^x=infintesigmak=0 x^k/k!
We can approximate the value of for any x using the following sum e^x=infintesigmak=0 x^k/k!
a) Approximate e^2.2 n=3
Answer: \(7.39466666\)
Step-by-step explanation:
Setting \(x=2.2\) and \(n=3\),
\(e^{2.2} \approx \sum^{3}_{k=0} \frac{2.2^{k}}{k!}=\frac{2.2^0}{0!}+\frac{2.2^1}{1!}+\frac{2.2^2}{2!}+\frac{2.2^3}{3!} \approx 7.39466666\)
Answer:
7.39466667 (8 d.p.)
Step-by-step explanation:
We can approximate the value of eˣ for any x using the following sum formula:
\(\boxed{e^{x} \approx \displaystyle \sum^n_{k=0}\dfrac{x^k}{k!}}\)
To approximate \(e^{2.2}\) with n = 3, substitute x = 2.2 and n = 3 into the given sum formula:
\(e^{2.2} \approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\)
To calculate the sum, substitute k with each value from 0 to 3 and add the results together:
\(\begin{aligned}e^{2.2} &\approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\\\\&= \dfrac{2.2^0}{0!}+\dfrac{2.2^1}{1!}+\dfrac{2.2^2}{2!}+\dfrac{2.2^3}{3!}\\\\&= \dfrac{1}{1}+\dfrac{2.2}{1}+\dfrac{4.84}{2}+\dfrac{10.648}{6}\\\\&= 1+2.2+2.42+1.774666666...\\\\&=7.39466667\; \sf (8\;d.p.)\end{aligned}\)
Therefore, the approximate value of \(e^{2.2}\) is:
\(\large \textsf{$e^{2.2}$}=\boxed{7.39466667}\; \sf (8\;d.p.)}\)
Note: To obtain a more accurate approximate value, increase the value of n.
A teacher had 52 boxes of chocolates with 34 pieces of
chocolate in each box. She wanted to give them to 26 girls and
to 32 boys. Each girl got 36 pieces of chocolate. How many
pieces of chocolate did each boy get?
__ pieces of chocolate
Answer:
each boy will get 26 pieces of chocolate
Answer:
The boys got 26 pieces of chocolate (gender inequality, lol)
Step-by-step explanation:
52 x 34 = 1768
26 x 36 = 936
1768 - 936 = 832
832/32 =
26How can 6.38 x 0.08 = 6.9768? (Show your steps please!)
Answer:
6.38 × 0.08 = 5,104 not 6,9768 .
step by step attached
The following functions all have domain {1,2,3,4,5} and codomain 1,2,3. For each, determine whether it is jective, bijective, 3. (only) injective, (only) sur neither injective nor surjective. (a) f - {1 2 3 4 5}
{1 2 1 2 1} (b) f - {1 2 3 4 5}
{1 2 3 1 2}
(c) f(x) = { x if x < 3 x -3 if x > 3
The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.
(a) f - {1 2 3 4 5} -> {1 2 1 2 1}
This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.
(b) f - {1 2 3 4 5} -> {1 2 3 1 2}
This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.
(c) f(x) = { x if x < 3, x - 3 if x > 3}
This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.
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Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
What is a functiοn?In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.
(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.
Hence,
Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
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The distances between Centerville, Springfield, and Capital City form a right triangle. The distance between Centerville and Springfield is 913 kilometers and the distance between Springfield and Capital City is 976 kilometers.
Anwell travels from Centerville to Springfield, then on to Capital City. Yue travels directly from Centerville to Capital City. How much farther does Anwell travel than Yue?
Answer:
Step-by-step explanation:
x+9
x0+
10
Anwell travels a distance of 552.533 km more than Yue.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given that,
The distances between Centerville, Springfield, and Capital City form a right triangle.
The triangle is given below.
This is a right angled triangle, where the hypotenuse is the distance between Centerville and Capital city.
Using Pythagoras Theorem,
Hypotenuse² = (Leg 1)² + (Leg 2)²
x² = (913)² + (976)²
x² = 1786145
x = √1786145 = 1336.467
Distance that Yue travels = 1336.467 km
Distance Anwell travels = 913 km + 976 km = 1889 km
Difference = 1889 km - 1336.467 km = 552.533 km
Hence Anwell travels 552.533 km more than Yue.
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What is 13/20 as a part to part ratio
65%
Convert fraction (ratio) 13 / 20 Answer: 65%
Find the area of the rectangle on this centimetre grid.
Answer:
A = 35 cm²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
by counting the squares on the sides
length = 7 cm and width = 5 cm , then
A = 7 × 5 = 35 cm²
PLEASE HURRRY
if m abd = 74 what are m abc and dbc whats the degrees of m
The correct measure of m<ABD = 79degrees
The measure of m<DBC and m<ABC are 45 and 34degrees respectively.
Find the diagram to the question attached.
From the diagram, we are given the following measures;
m<DBC = 5x + 4
m<ABC = 8x - 3
m<ABD = 79degrees
From the diagram, we can see that;
m<DBC + m<CBA = m<ABD
5x + 4 + 8x - 3 = 79
13x + 1 = 79
13x = 79 - 1
13x = 78
x = 78/13
x = 6
Get the measure of m<ABC
m<ABC = 8x - 3
m<ABC = 8(6) - 3
m<ABC = 45 degrees
Get the measure of m<DBC
m<DBC = 5x + 4
m<DBC = 5(6) + 4
m<DBC = 34degrees
Hence the measure of m<DBC and m<ABC are 45 and 34degrees respectively.
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Hello,
2x+1=x(2+0)
True or false???????
Answer:
false right
Step-by-step explanation:
Which graph displays points that correspond to the x and y values in the table?
hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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The sum of a number x and 4 is less than 12 which of the following inequalities represents this statement
Answer:
x < 8
Step-by-step explanation:
All you need to do is solve the inequality for x, by moving 4 to the right side as I have shown below:
x + 4 < 12
x + 4 - 4 < 12 - 4
x < 8
What is the cube root of -1,000p^12q^3
Answer:
-10p4q
Step-by-step explanation:
1 point
Andrea received a $100.00 gift card to an online clothing store. SHe uses
the gift card to buy a shirt for $20.99. She also wants to use the gift card to
buy some pants which cost $10.29. Which of these inequalities describes
the situation, where n is the number of pants Andrea wants to buy?
20.99 + 10.29n 2 100
20.99 + 10.29n s 100
20.99 - 10.29n 2 100
20.99 - 10.29n s 100
Select all of the following equations that have the
Answer:
20.99+ 10.29n s 100
Step-by-step explanation:
Well your variable is the number of pants she wants to buy, so on top of the shirt she bought it would 20.99 + 10.29n, but you wouldn't put 100$ at the end of the sentence because for all you know she could have gone past 100 dollars. Hope this helps! Also, if we are counting this from 100 it is better to just subtract 20.99 from 100 and divide by 10.29.
there are 84 students in the glee club. there are 12 more boys than girls. What is the ratio of the number of girls to the number of boys?
Answer:
I am so sorry if I'm wrong but I think it's 9:5?
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression. Write the algebraic expression that Danielle should write. Type your expression with no spaces.
The translation of the verbal expression "4 less than twice a number" in to an algebraic expression is 2n - 4.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression.
Let the number is n.
The phrase can be expressed as,
2n - 4.
Therefore, the expression is 2n - 4.
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Jessica is making muffins. To make her batter, she has to mix 2/3 of a cup of brown sugar with 3/4 of a cup of milk. If Each muffin requires 1/12 of a cup of batter, how many total muffins can Jessica make?
A) 10 muffins
B) 12 muffins
C) 15 muffins
D) 17 muffins
Answer:
Jessica can make 17 muffins
Step-by-step explanation:
\(\frac{3}{4}+\frac{2}{3} = \frac{17}{12}\)
\(\frac{17}{12} *12 = 17\)