Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 {x}^{2} + 23x + 20}}}}}[/tex]
Option A is the correct option.
Step-by-step explanation:
[tex] \sf{(2x + 5)(3x + 4)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial
⇒[tex] \sf{2x(3x + 4) + 5(3x + 4)}[/tex]
⇒[tex] \sf{6 {x}^{2} + 8x + 15x + 20}[/tex]
Collect like terms
⇒[tex] \sf{6 {x}^{2} + 23x + 20}[/tex]
Hope I helped !
Best regards!!
As x goes to positive infinity, y (the function) goes to...
I have no idea how to do this im trying to learn on 3 hours of sleep rn ^-^;
Answer:
[tex]x=7,y=16[/tex]
Step-by-step explanation:
The tick marks you see on the sides denote congruence. If they have the same number of tick marks, then their side length are congruent.
And, recall that congruent side lengths have the same measure.
So, look at the sides with 2 tick marks. They are congruent. Therefore:
[tex]2x+5=x+12[/tex]
Subtract x from both sides:
[tex]x+5=12[/tex]
Subtract 5 from both sides:
[tex]x=7[/tex]
So, x is 7.
Now, look at the sides with only 1 tick mark. Again, they are congruent. Thus:
[tex]y-4=x+5[/tex]
We already know x is 7. So:
[tex]y-4=(7)+5[/tex]
Add:
[tex]y-4=12[/tex]
Add 4 to both sides:
[tex]y=16[/tex]
So, y is 16.
Ari received $100 as a birthday gift and has decided to save this money as well as add $20 of his own money each month. The total money Ari has saved can be estimated using the equation y = 20x + 100, where x is the number of months and y is the total amount of money saved. How much money will Ari have saved after 6 months?
Answer:
$220
Step-by-step explanation:
As per the equation:
y = 20x + 100For x = 6 we get:
y = 20*6 + 100 = 220So Ari will have saved $220 after 6 months
Answer:
14 pennies and 8 nickels
Expla-- Im smart
Which point lies on the line with point-slope equation y - 3 = 4(x + 7)?
A.
(7, 3)
B.
(7, -3)
C.
(-7, -3)
D.
(-7, 3)
Answer:
D.
(-7, 3)
Step-by-step explanation:
Given equation
y - 3 = 4(x + 7)
points are in form of (x,y) that is first value represent value of coordinate and
second value y represents value of y coordinates.
to find which point lies on given line equation we need to substitute value of x and see if value of y obtained is same as given in the option or not.
______________________________________
A.
(7, 3)
substituting x with 7 in the equation
y - 3 = 4(7 + 7)
=> y - 3 = 4(14)
=> y - 3 = 56
=> y = 56+3 = 59
Thus, we see value of y when x is 7 is 59
which is not equal to 3 as given in option A hence option A is not correct choice
B.
(7, -3)
As seen above for x = 7 , y is 59 hence option B is also incorrect
C.
(-7, -3)
substituting x with -7 in the equation
y - 3 = 4(-7 + 7)
=> y - 3 = 4(0)
=> y - 3 = 0
=> y = 0+3 = 3
Thus, we see value of y when x is -7 is 3
which is not equal to -3 as given in option C hence option C is not correct choice
D.
(-7, 3)
As calculated above value of y when x is -7 is 3
hence
option D is correct choice.
Solve the equation for x.
(x=21)= 103
X =
Answer:
Step-by-step explanation:
I don't know if you made a mistake when typing but I am guessing you meant x - 21 = 103
(x-21) = 103 Add 21 to each side
x - 21 + 21 = 103 + 21
x = 124
1
What function family does f(x)=3* belong to.
Answer:
Constant family
Steve can save 9 dollars every day while Maria can save 12 dollars. What is the least number of days it
will take each person to save the same amount of money?
Answer:
The least number of days it will take each person to save the same amount of money is 36 days.
Step-by-step explanation:
We are given that Steve can save 9 dollars every day while Maria can save 12 dollars.
And we have to find the least number of days it will take each person to save the same amount of money.
Whenever we talk about the least common value, the LCM or Least common multiple comes into account.
Here also; the least number of days it will take each person to save the same amount of money will be the LCM or Least common multiple of 9 and 12.
LCM of 9 and 12 is calculated as;
2 = 9 , 12
2 = 9 , 6
3 = 9 , 3
3 = 3 , 1
1 , 1
Here, the second line means that 12 is divisible by 2 at 6, i.e; 2 [tex]\times[/tex] 6 = 12 and so on.
So, the LCM of 9 and 12 = [tex]2\times 2 \times 3 \times 3[/tex] = 36
Hence, the least number of days it will take each person to save the same amount of money is 36 days.
An envelope contains an assortment of photos of the same size. The photos are of children, of pets, or of adults. Billy randomly took a photo from
the envelope, recorded what type of picture it was, and then replaced the photo in the envelope. He did this a total of 10 times. The table shows the
outcomes.
Children Pets Adults
5 3 2
Based on these results, what is the probability the next photo taken from the envelope will be a photo of pets?
Answer:
0.3
Step-by-step explanation:
From the question given above, the following data were obtained:
Children (C) = 5
Pet (P) = 3
Adult (T) = 2
Probability of obtaining a photo of pet, P(P) =?
Next, we shall determine the total outcome i.e the sample space (S).
This is illustrated below:
Sample space (S) = nC + nP + nA
Sample space (S) = 5 + 3 + 2
Sample space (S) = 10
Finally, we shall determine the probability of a photo of pet.
This can be obtained as follow:
Event of obtaining Pet, nP = 3
Sample space (S) = 10
Probability of obtaining a phone of pet, P(P) =?
P(P) = nP/nS
P(P) = 3/10
P(P) = 0.3
Therefore, the probability of obtaining a photo of pet is 0.3
Write 78 as a product of prime factors
Answer:
13 is a prime number, not divisible by any number greater than 1 or less than 13. So the prime factorisation of 78 is: 78 = 2 ⋅ 3 ⋅ 13 This can also be represented by a factor tree:
Step-by-step explanation:
Answer:
78 = 2 ⋅ 3 ⋅ 13
Step-by-step explanation:
78 ends with an even digit, so is divisible by 2 and we find: 78 = 2 ⋅ 39
39 ends with an odd digit, so is not divisible by 2 .
The digits of 39 add up to a multiple of 3 , namely 3 + 9 = 12 . So we can tell that 39 is divisible by 3 : 39 = 3 ⋅ 13
13 is a prime number, not divisible by any number greater than 1 or less than 13 .
So the prime factorization of
78 is:
78= 2 ⋅ 3 ⋅ 13
Plz help asap
Thanks si much♡︎
Answer:
$1136.88 So she earned more than $1135
Step-by-step explanation:
$8.50 an hour.
31.25 week 1 = 265.625
33.75 week 2 = 286.875
36 week 3 = 306
32.75 week 4 = 278.375
In all - 1136.88 (rounded)
1136.875 (not rounded)
A) complete the table (use 4 decimal places when applicable)
B) what percent of the people have exactly one sibling ?
Answer:
Step-by-step explanation:
(A).
No' of siblings Frequency Rel. frequency Cumm. frequency
0 51 0.2429 51
1 37 0.1762 51 + 37 = 88
2 34 0.1619 122
3 41 [tex]\frac{41}{169}=0.2426[/tex] 163
4 47 0.2238 210
(B).
Percent of people having exactly one sibling = [tex]\frac{\text{Frequency}}{\text{Total frequency}}\times 100[/tex]
= [tex]\frac{37}{210}\times 100[/tex]
= 17.62%
The number, N, of napkins used in a restaurant is N =f(C) = 2C, where C is the number of customers.
What is the dependent variable? The independent variable?
Answer:
The dependent variable is N; Number of Napkins
The independent variable is C; Number of Customers
Step-by-step explanation:
Given
[tex]N = f(c) = 2c[/tex]
Required
Determine the dependent and independent variable
Dependent variables are variables that standalone and are not influenced by other variables;
In the given parameters
The customers, C is the independent variable
Independent variables are the opposite of the dependent variables; They depend on other variables for their own values.
In the given parameters
The number of Napkin, N is the dependent variable
solve
3(8-169)-5(4-36)
Write an equation in slope-intercept form of the line that satisfies the given conditions.
Slope 5; y-intercept (0,-9)
Answer:
y = 5x + -9
Step-by-step explanation:
y = mb + b
m = 5
b = -9
Answer:
y = 5x -9
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = 5x -9
A plane is 2 dimensional. Group of answer choices True False
Answer:
Step-by-step explanation:
False
for surge works at the super market as a casheir a bagger and a stocker he earns 7.00$ per hour as a casheir , $6.00 per hour as a bagger and $5.00 oer hour as a stocker in a given week serge works 4 hours as a cashier 9 hours as a bagger and 7 hours as a stocker what is serge average pay per hour
Answer:
$117.00
Step-by-step explanation:
-earns $7.00 per hour as a cashier
-earns $6.00 per hour as a bagger
-earns $5.00 per hour as a stocker
-works 4 hours as a cashier
-works 9 hours as a bagger
-works 7 hours as a stocker
First, find the amount of money earned in the week while working as a cashier. We know from the information we picked out that Surge works $7.00 per hour as a cashier and he works 4 hours that week. Therefore, we need to multiply the amount of money made per hour by the amount of hours worked in a week.:
$7.00/hr * 4 hrs=$28.00 made as a cashier
Next, find the amount of money Surge made as a bagger. Do the same thing as you did with the cashier calculations, except that this time, he earns $6.00 per hour and he works 9 hours as a bagger.:
$6.00/hr * 9 hrs=$54.00 made as a bagger
Then, find the amount of money made as a stocker. It's the same as everything else, just that Surge know earns $5.00 per hour and he works 7 hours as a stocker. So, do the last set of multiplication:
$5.00/hr * 7hrs=$35.00 made as a stocker
Finally, the question asks for the average amount of money made per week, so add up all you calculations to get that average amount:
$28.00+$54.00+$35.00=$117.00
Surge makes an average of $117.00 in a given week.
The serge average pay per hour will be $117.00.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
It is given that earns $7.00 per hour as a cashier, earns $6.00 per hour as a bagger, earns $5.00 per hour as a stocker, and works 4 hours as a cashier -works 9 hours as a bagger -works 7 hours as a stocker.
First, find the amount of money earned in the week while working as a cashier. We know from the information we picked out that Surge works $7.00 per hour as a cashier and he works 4 hours that week. Therefore, we need to multiply the amount of money made per hour by the number of hours worked in a week.:
$7.00/hr x 4 hrs=$28.00 made as a cashier
Next, find the amount of money Surge made as a bagger. Do the same thing as you did with the cashier calculations, except that this time, he earns $6.00 per hour and he works 9 hours as a bagger.:
$6.00/hr x 9 hrs=$54.00 made as a bagger
Then, find the amount of money made as a stocker. It's the same as everything else, just that Surge now earns $5.00 per hour and he works 7 hours as a stocker. So, do the last set of multiplication:
$5.00/hr x 7hrs=$35.00 made as a stocker.
Finally, the question asks for the average amount of money made per week, so add up all your calculations to get that average amount:
$28.00+$54.00+$35.00=$117.00
Therefore, the serge average pay per hour will be $117.00.
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The combined (verbal + quantitative reasoning) score on the GRE (Graduate Record Exam) is normally distributed with mean 1049 and standard deviation 189. Suppose n = 16 randomly selected students take the GRE on the same day.
a. What is the probability that one randomly selected student scores above 1100 on the GRE?
b. Describe the sampling distribution of the sample mean for the 16 students (description should include mean, standard deviation and shape).
c. What is the probability that a random sample of 16 students has a mean GRE score that is less than 1100?
d. What is the probability that a random sample of 16 students has a mean score that is more than 1100?
e. If the sample size in (d) above was increased to 64, what affect would it have on the probability (more, less, the same, can't tell) and why?
Answer:
Kindly check explanation
Step-by-step explanation:
Given The following :
Assume score is normally distributed with;
Mean (m) = 1049
Standard deviation (sd) = 189
Numbw rof observations (n) = 16
A) What is the probability that one randomly selected student scores above 1100 on the GRE?
Zscore = (x - m) / sd
X = 1100
Zscore = (1100 - 1049) / 189
Zscore = 51 / 189 = 0.27
From z-table ; 0.27 correspond to 0.6064
P(X > 1100) = 1 - P(X < 1100) = 1 - 0.6064 = 0.3936
2) sample mean will be equal to population mean = 1049
Sample Standard deviation : (population standard deviation / sqrt (n))
= 189 / sqrt(16) = 189/4 = 47.25
Shape of distribution is approximately normal
3)
P(Z < 1100)
X = 1100
Zscore = (x - m) / standard error
Standard Error = population standard deviation / sqrt (n)
= 189 / 4 = 47.25
Zscore = (1100 - 1049) / 47.25
Zscore = 51 / 47.25 = 1.0793650 = 1.08
From z-table :
P(Z < 1100) = 0.8599
4)
D.)
P(Z > 1100)
X = 1100
Zscore = (x - m) / SE
Zscore = (1100 - 1049) / 47.25
Zscore = 51 / 47.25 = 1.0793650 = 1.08
From z-table :
P(X > 1100) = 1 - P(X < 1100) = (1 - 0.8599) = 0.140
E)
With a sample size of 64
Standard Error becomes:
189 / sqrt(64) = 189/ 8 = 23.63
Zscore = (1100 - 1049) / 23.63
Zscore = 51 / 23.63 = 2.16
P(Z > 2.16) = 1 - P(Z < 2.16) = 1 - 0.9846 = 0.0154
Probability is less due to increase in sample size
What did Taylor and her schoolmates do to be certain their educational endeavors remained secret?
Answer:
They wrapped their school textbooks with paper.
Step-by-step explanation:
Susie King Taylor was born in 1848, a period when African Americans were not allowed to learn how to read and write. She lived with her grandmother and siblings. Taylor would secretly go to the house of her grandmother's friend known as Mrs. Woodhouse. For two years, she would do this secretly with her brother, wrapping her textbooks with paper so as not to be seen by the policemen.
She also made a white friend known as Katie O'Connor who promised to teach her if she did not tell her father. Katie did this for four months. Later, their landlord's son also volunteered to teach Susie.
Today,the badminton team and the basketball team had games.the badminton team plays every 4 days and the basketball team plays every 6 days.after how many days will the teams have their games in the same day?? Please help asap im really struggling right now!
Please help me out!!!
Answer:
[tex]= 2^2^8 \times 3^-^2^0\times 9^4[/tex]
Step-by-step explanation:
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\times\:b\right)^n=a^nb^n\\\left(2^7\times\:3^{-5}\times\:9\right)^4=\left(2^7\right)^4\times\left(3^{-5}\right)^4\times\:9^4\\=\left(2^7\right)^4\cdot \left(3^{-5}\right)^4\cdot \:9^4\\\\= 2^2^8 \times 3^-^2^0\times 9^4[/tex]
Answer:
[tex] {2}^{28}. {3}^{ - 20}. {9}^{4} [/tex]Multiply the exponent 4 by each of the exponents inside the parentheses.
Hope this helps..
Good Luck!The ratio of money in Brian's wallet to Colin's wallet one day was 7:2. Brian spent £39 that day. Brian now had £4 less than Colin. How much did Brian initially have?
Answer:
Step-by-step explanation:
Collin initially have 14
Step-by-step explanation:
Let
x------> money that Brian had initially
y------> money that Collin had initially
we know that
x/y=7/2
solve for x
x=7/2y -------> equation A
y-39=y-4 ------> equation B
substitute equation A in equation B
7/2y-39=y-4
7/2y-y=39-4
5/2y=35
y=14
Answer:
£49.
Step-by-step explanation:
Let the ratio of brain's money to Colin's is 7x : 2x.
From the given info:
7x - 39 = 2x - 4
5x = -4 + 39 = 35
x = 7
So initially Brian had 7*7 = £49.
Colin had £14.
Eight committee members are meeting in a room that has twelve chairs. In how many ways can they sit in the chairs
Answer:
495 different waysStep-by-step explanation:
We will use the combination rule to solve this questions since it bothers selection. Combination has to do with selection.
If r objects are to be selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
If there are Eight committee members meeting in a room that has twelve chairs, the number of ways they can sit in the chair can be done in 12C8 number of ways.
12C8 = 12!/(12-8)!8!
12C8 = 12!/4!8!
12C8 = 12*11*10*9*8!/4*3*2*8!
12C8 = 12*11*10*9/4*3*2
12C8 = 11*10*9/2
12C8 = 11*5*9
12C8 = 495
Hence the committee can sit in the chairs in 495 different ways
Whats the prime factorization of 42
Answer:
3,7,2
Step-by-step explanation:
42 = 21*2
42 = 3*7*2
Ta da!
Hope this helps! :)
(pls mark brainliest)
Answer: The prime factorization is 46 = 2 times 3 times 7.
Step-by-step explanation:
So we have the number 42.
First, break 42 up into 2 and 21.
Then split those two numbers further into 3 and 7 from 21 (because they are the factors of 21).
Since you can't break it down any further, take the prime numbers from there and multiply them against each other. This is why it is called prime factorization.
Don't simplify any further and don't multiply them together. Just keep it as 46 = 2 times 3 times 7. There you go!
What’s half of 4,538
Answer: 2,269
Step-by-step explanation: Divide by 2 to get half of a number
Answer:
2269
Step-by-step explanation:
just simply divide 4538 by 2
What is the graph of the parent linear function. It shows 3 graphs & we pick one! Please help! I have to get this done ASAP! Will give lots of points for the correct answer!!!
Answer:
I'd ont now that your questions
A building feet tall has a shadow that is feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree.
Answer:
The angle of elevation of the sun to the nearest hundredth of a degree is 44.07°
Step-by-step explanation:
Here is the complete question:
A building 86.53 feet tall has a shadow that is 89.39 feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree.
Step-by-step explanation:
Please see the attachment below for an illustrative diagram:
From the diagram
/AC/ is the height of the building
/CB/ is the length of the shadow
/AC/ = 86.53 feet
/CB/ 89.39 feet
θ is the angle of elevation
Consider triangle ABC
/AC/ is the opposite
and /CB/ is the adjacent
From
tanθ =[tex]\frac{Opposite}{Adjacent}[/tex]
Then,
tanθ = [tex]\frac{/AC/}{/CB/}[/tex]
tanθ = [tex]\frac{86.53}{89.39}[/tex]
tanθ = 0.9680
∴θ = tan⁻¹(0.9680)
θ = 44.0686°
θ = 44.07° (to the nearest hundredth of a degree)
Hence, the angle of elevation of the sun to the nearest hundredth of a degree is 44.07°
A square has a side length of 9 feet. What is the area of the square
Answer:
81
Step-by-step explanation:
The area of a square is its side length squared so 9^2 is 81
The price of a share of stock increased $3 each week over a 7-week period. What was the total
change in the price of a share of the stock over this period of time?
Answer:
$21
Step-by-step explanation:
Multiply 7 by 3, since it increased $3 each week for 7 weeks:
7(3)
= $21
So, the total change in the price of a share of stock was $21
a pool in the shape of a rectangular prism is 6 meters long and 3 meters wide. the water in the pool is 1 meter deep.
a. the density of water is about 1 gram per cubic centimeter. find the number of kilograms of water in the pool. question 2
b. you add 6000 kilograms of water to the pool. what is the depth of the water in the pool? write your answer as a fraction. the water is about meters deep.
Answer:
1). Mass of water present= 18000 kg
2).4/3 meters deep
Step-by-step explanation:
Area of the rectangle= 6*3= 18m²
Volume of water in the pool
= Deepness of water*area of rectangle
= 1*18
= 18 m³
density of water is about 1 gram per cubic centimeter
In kg per m³= 1000 kg/me
Mass of water present= density*volume
Mass of water present= 1000*18
Mass of water present= 18000 kg
2)6000 kilograms of water is added to 18000 of
Total mass present= 6000+18000
Total mass present=24000 kg
If density= 1000kg/m³
Volume present= mass/density
Volume present= 24000/1000
Volume present= 24 m³
Area of the rectangle= 18 m²
deepness of the pool= volume/area
deepness of the pool= 24/18
deepness of the pool= 4/3 meters deep
I am a number whose prime factors are all of the prime numbers between 6 and 15. No factor is repeated. What number am I?
Answer:
Question Answer
I am a number whose prime factors are all the prime numbers between 6 and 15 no factor is repeated what number am i? 1001
The number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
We have:
I am a number whose prime factors are all of the prime numbers between 6 and 15.
The prime number between 6 and 15:
As we know, the prime number is the number that is divisible by 1 and itself.
Prime number = {7, 11, 13}
= 7×11×13
= 1001
Thus, the number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.
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