Answer:
Step-by-step explanation:
h(t)=16t²+144t +4
=16(t²+9t+(9/2)²)-16(9/2)²+4
check your problem statement.
Given that 38 × 92 = 3,496, does 3.8 × 0.92 = 0.3496, 3.496, or 34.96?
Answer:
3.496
Step-by-step explanation:
Multiply these two by getting rid of the decimal:
38 -decimal is moved one place here.
x092 -decimal is moved two places here.
3496 -move decimal three places over.
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answer:
m∠5+m∠6=180°
m∠2+m∠3=m∠6
m∠2+m∠3+m∠5=180°
Step-by-step explanation:
Verify each option
case A) we have
m∠5+m∠3=m∠4 ----> equation A
we know that
m∠3+m∠4=180° -----> by supplementary angles
m∠4=180°-m∠3 ----> equation B
substitute equation B in equation A
m∠5+m∠3=180°-m∠3
m∠5+m∠3+m∠3=180°
This equation is true when m∠2=m∠3
Therefore Is not always true
case B) we have
m∠3+m∠4+m∠5=180° ----> equation A
we know that
m∠3+m∠4=180° -----> by supplementary angles
m∠4=180°-m∠3 ----> equation B
substitute equation B in equation A
m∠3+(180°-m∠3)+m∠5=180°
m∠5=0°
This option is not true
case C) we have
m∠5+m∠6=180°
we know that
m∠5 and +m∠6 are supplementary angles
so
Their sum is always 180 degrees
Therefore this option is always true
case D) we have
m∠2+m∠3=m∠6 -----> equation A
we know that
m∠5+m∠6=180° ----> by supplementary angles
m∠6=180°-m∠5 ----> equation B
substitute equation B in equation A
m∠2+m∠3=180°-m∠5
m∠2+m∠3+m∠5=180°
Remember that the sum of the interior angles of a triangle must be equal 180 degrees
Therefore this option is always true
case E) we have
m∠2+m∠3+m∠5=180°
Remember that the sum of the interior angles of a triangle must be equal 180 degrees
This option is always true
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a radio caller won the grand prize, where the caller gets to
spin a wheel with prizes of $500, $750, $1,250, $21500,
$5,000, $10,000, and $25,000 on a wheel. The probability
the wheel lands on $500 is }, landing on $750 is
crIN
landing on $1,250 is 25,
, landing on $2,500 is 25, landing
on $5,000 is 25, landing on $10,000 is 25, and landing on
$25,000 is
25 •
What is the expected amount of money
the radio caller should win if the caller gets to spin the
wheel once?
O $5,050
O $6,450
O $4,100
O $3,650
Answer: To find the expected amount of money the radio caller should win, you can multiply the prize amount by the probability of winning that prize, and add those products for each prize. The expected value is also known as the mean value.
$500 * 1/8 = $62.50
$750 * 1/8 = $93.75
$1,250 * 1/8 = $156.25
$2,500 * 1/8 = $312.50
$5,000 * 1/8 = $625.00
$10,000 * 1/8 = $1250.00
$25,000 * 1/8 = $3,125.00
Total expected value = $62.50 + $93.75 + $156.25 + $312.50 + $625.00 + $1250.00 + $3,125.00 = $5,050.00
So, the expected amount of money the radio caller should win if the caller gets to spin the wheel once is $5,050.
It's worth to mention that the probability for each prize is the same, but the prizes are not the same so each prize win will be different according to the prize amount.
The expected value doesn't assure that the prize will be won, but it's a good approximation of the prize the caller could win.
Step-by-step explanation:
The Barker family just left the local pet store with Lucky, their new family dog. The pet store owner told the Barker family that for the next 6 months, Lucky would grow at an average rate of 9 pounds per month. Currently, Lucky is 2 months old and weighs 3 pounds. Age, in months 2 3 4 5 6 7 8 Weight, in pounds 3 at 2 months old Part A: Complete the given table that represents Lucky's current weight, in pounds, as a function of his age, in months. Part B: Graph the data in the table from Part A. Be sure to label the graph and all data points. Part C: Create a linear model that represents the Lucky's current weight, in pounds, as a function of his age, in months. Part D: If Lucky continues to grow at the rate of 9 pounds per month beyond the expected six months, how much will Lucky weigh by the time he is one year old?
The table is given below.
The graph is given below.
The linear model that represents lucky's current weight in pounds as a function of his age in months is
f(x) = 9x - 15.
Lucky's weight in one year is 93 pounds.
What is a function?A function is a relationship between inputs where each input is related to exactly one 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,
Lucky current age and weight = 2 months and 3 pounds.
The growth rate of lucky per month = 9 pounds.
Table of age and weight of lucky.
Age (months) Weight (pounds)
2 3
3 12
4 21
5 30
6 39
7 48
8 57
Now,
The coordinates on the graph from the table are:
(2, 3), (3, 12), (4, 21), (5, 30), (6, 39), (7, 48), and (8, 57).
The graph of the table is given below.
Now,
The function for the weight of the lucky in x months.
f(x) = mx + c
m = 9
(2, 3) = (x, f(x))
So,
3 = 9 x 2 + c
c = 3 - 18
c = -15
So,
f(x) = 9x - 15
Where x is the number of months.
Now,
The weight of lucky in one year i.e 12 months.
This means,
x = 12 months
f(12) = 9 x 12 - 15 = 108 - 15 = 93
Thus,
The table is given above.
The graph is given below.
The function for lucky weight in x months is f(x) = 9x - 15.
The weight of lucky in one year is 93 pounds.
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Find the length of a using the Pythagorean theorem
Answer:
a = 12
Step-by-step explanation:
a² + 9² = 15²
a² = 15² - 9²
a² = 225 - 81
a² = 144
take the square root of both sides
a = 12
Answer:
[tex] {a }^{2} + {9}^{2} = {15}^{2} \\ {a}^{2} = - 81 + 225 \\ {a}^{2} = 144 \\ a = \sqrt{144 \: } \\ a = 12[/tex]
A recipe for punch requires 20 grams of drink mix for 5 liters.
How many grams of drink mix are needed per liter of water?
rewrite the rectangular equation x^2+y^2-8y=0 as a polar equation
Answer:
We'll use the following identities:
r = √(x2 + y2), from which we also have r2 = x2 + y2
y = r*sinθ
First, let's re-write your equation:
r = 8*sin(θ). Multiply both sides by r:
r2 = 8r sin(θ)
Now, we'll use substitute using the identities:
x2 + y2 = 8y
Re-arrange and complete the square:
x2 + y2 - 8y = 0
x2 + (y-4)2 - 16 = 0
x2 + (y-4)2 = 16
This represents a circle with center (0,4), and radius 4.
Step-by-step explanation:
sorry if it wrong
Using elimination, what is the solution to the following system?
x+3y= 26
x+y= 14
Answer:
x=8, y=6. (8, 6).
Step-by-step explanation:
x+3y=26
x+y=14
------------
x+3y=26
-(x+y)=-14
-----------------
x+3y=26
-x-y=-14
---------------
2y=12
y=12/2
y=6
x+3(6)=26
x+18=26
x=26-18
x=8
i am number between 47 and 53 no two of my factors are the same number what number am i
A number between 47 and 53 such that the prime factors are not repeated is:
3*17 = 51
How to find the number?Remember that any number can be written as a product of prime factors.
If we want to find a number between 47 and 53, such that there are no repeated factors, we just need to take different primes and multiply them.
For example:
2*3*5*7 = 210
There are no repeated factors, but the number is not in the desired range.
2*5*7 = 70
Still not in the range.
You can try some times until you get for example:
3*17 = 51
This a number in the desired range, such that their prime factors are not repeated.
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Jake has a floor that is 64 square feet. He wants to tile the entire floor using large tiles that measure 3 feet by 5 feet. The tiles may be cut as needed. What is the fewest number of tiles required to fill the space while also requiring the fewest tiles to be cut? Show a diagram of the completed floor.
The number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .
What is area ?
Area can be defined as the total space taken by a 2-dimensional surface or shape of an object.
Given
Jake has a floor that is 64 square feet.
He wants to tile the entire floor using large tiles that measure 3 feet by 5 feet.
The area of 3 feet by 5 feet could be = 3 * 5 = 15 square meters.
number of tiles required to fill the space could be = 64 / 15
that is 4.3 (approx )
Hence , the number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .
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can someone help NO LINKS PLEASE or i will literally report you lol
Answer:
Rectangular Prism Volume = [tex]210cm^{3}[/tex]
Total Volume of Composite Figure = [tex]247.68cm^{3}[/tex]
a(n)=6+(n-1)(-2) what its the fourth sixth and thirteenth terms
Answer:
4th term = 0
6th term = -4
13th term = -18
Step-by-step explanation:
a(n) = 6 + -2(n-1)
a(4) = 6 + (-2)(3) which is 6-6
a(6) = 6 + (-2)(5) which is 6-10
a(13) = 6 + (-2)(12) which is 6-24
9. A bag contains 40 slips of paper, numbered 1-40. If one slip is chosen at random, what is the
probability of not choosing a multiple of 10?
Answer:
The probability is 0.9
Step-by-step explanation:
Suppose that we have a bag with N outcomes (such that these N outcomes have the same probability of being randomly drawn from the bag, we can suppose that the outcomes are given elements, like marbles or something like that.)
Suppose now that there are K of these elements with a given property.
The probability of randomly drawn one of these K elements is equal to the quotient between the number of these elements in the set (K) and the total number of elements in the bag (N)
The probability is: P = K/N
In this case, we know that there are 40 slips of paper, numbered from 1 to 40.
We want to find the probability of NOT choosing a multiple of 10.
The multiples of 10 in that range are:
10*1 = 10
10*2 = 20
10*3 = 30
10*4 = 40
So we have 4 multiples of 10, then we have 36 non-multiples of 10.
The probability of drawing at random a number that is not a multiple of 10, is equal to the quotient between the number of slips of papers with numbers that are not multiples of 10 (36) and the total number of slips of paper (40)
P = 36/40 = 0.9
The probability is 0.9
Chau will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an
additional $0.11 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.07 per mile driven.
for what amount of driving to the two plans cost the same amount?
What is the cost when the two plans cost the same?
Answer:
I don't know
Step-by-step explanation:
i don't know
Is (2, 3) a solution for the equation 2x + 3y = 6?
Answer:
No
Step-by-step explanation:
Input the values and see if the equation is true.
2x + 3y = 6
(2, 3) x = 2, y = 3
2(2) + 3(3) = 6
4 + 9 = 6
13 ≠ 6
Question
Enter a linear equation that models the situation.
A drugstore sells pens for $1.40 each and notebooks for $2 each. The owner would like to sell $40 of these
items each day. Use p for the number of pens and n for the number of notebooks.
A linear equation that models the situation is
= 40.
Answer:
1.40p+2n=40
Step-by-step explanation:
8. Using the formula C= id, find the circumference of a circle with a
diameter of 9 cm.
A. 28.26 cm B. 28.26 m C. 29.26 cm D. 29.26 m
Answer:
Circumference of a circle, C
[tex]C=\pi d= \pi 9=28.26cm\\Option \ A[/tex]
5700 dollars is placed in an account with an annual interest rate of 6.5%. To the nearest year, how long will it take for the account value to reach 20900 dollars?
It will it take 56 years for the account value to reach $20,900.
What is Simple Interest?This amount is calculated based on the principal amount of a loan or the first deposit in a savings account. Simple interest does not compound, thus, a creditor will only pay interest on the principal amount and a borrower would never have to pay more interest on the previously accumulated interest.
formula for calculating Simple Interest, S.I:
S.I = P * R * T
100
Where,
S.I = Simple Interest
P =Pricipal
R = rate ( in percentage)
T= Time
To how long will it take for the account value to reach $20,900
S.I = $20,900
R = 6.5%
P =$ 5,700
T =?
S.I = P * R * T
100
$20,900 = $ 5,700 * 6.5 * T
100
Cross multiplying and Making Time, T subject of the formula we have:
$20,900 * 100 = $ 5,700 * 6.5 * T
T= $20,900 * 100
$ 5,700 * 6.5
T= 56.41
T ≈ 56 years
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whats 2+2 pls i have a test tomorrow i need to pass it
which expressions are equivalent to 2(-6c + 3) + 4c
A. -8c + 6
B. 3(-4c + 2)+4c
C. None of the Above
Answer:
A and B
Step-by-step explanation:
2(-6c + 3) + 4c
According to PEMDAS, we should evaluate the parentheses first.
However, the parentheses are already simplified completely.
Now we look for exponents. However, there are no exponents.
Next is multiplication. We can see there is a 2 directly outside of the parentheses. Distribute the 2 across each term in the parentheses.
-12c + 6 + 4c
Now combine like terms with addition.
-8c + 6
We can see that A. -8c + 6 is an answer choice.
Let's look at B. 3(-4c + 2) + 4c
Following the same steps, we will move on to multiplication.
-12c + 6 + 4c
Combine like terms with addition.
-8c + 6
This is also an answer choice.
Hope this helps!
Which set of lengths CAN form a triangle?
6, 9, 12
3, 3 ,7
1, 2, 3
6, 9, 15
A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph. What is the cost of a 1-mile ride?
The cost of a one mile ride is given as follows:
$6.
How to model the situation?The cost per mile is constant, hence a linear function is used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope, representing the cost per mile.b is the intercept, representing the basic fee.A taxi driver charges a $2 fee plus an additional $4 per mile, hence the slope and the intercept are given as follows:
m = 4, b = 2.
Thus the function that gives the cost for a x mile ride is:
y = 4x + 2.
The cost for a one mile ride is of:
y = 4(1) + 2 = $6.
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A new business borrows $320,000 at a yearly simple interest rate of 7%.
The total
amount the company repays for the loan and interest is $678,400. How long did it
take to pay off the loan? Pls help Mee!!
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 678400\\ P=\textit{original amount deposited}\dotfill & \$320000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years \end{cases} \\\\\\ 678400 = 320000[1+(0.07)(t)] \implies \cfrac{678400}{320000}=1+0.07t\implies \cfrac{53}{25}=1+0.07t \\\\\\ \cfrac{53}{25}-1=0.07t\implies \cfrac{28}{25}=0.07t\implies \cfrac{\frac{23}{25}}{0.07}=t\implies \boxed{16=t}[/tex]
A survey where political groups try to collect information about what voters think is called a * Ballot initiative Public opinion poll Electoral College Acondidate is chosen to run for office is called
Answer:
Step-by-step explanation:
A person selected by others to run for office is the nominee.
Sorry for bad quality but can anyone help plz will mark brainliest.
clothing,fuel,groceries and utility bill
Do you know how to do this
Answer:
B
C
E
Step-by-step explanation:
For the geometric sequence, the common ratio is 2 and the 12th term is a12 =6144. What is the first term?
A. a1=2
B.a1=3
C.a1=4
D.a1=5
Answer:
B. a1 = 3
Step-by-step explanation:
Since we have the comon ratio and 12th term, we could just divide the 12th term (6144) by 2 11 times until we get to the 1st term:
[tex]6144 /2/2/2/2/2/2/2/2/2/2/2 = 3[/tex]
For a better understanding of the question, let's use the formula for geometric equations:
a(r)^(n-1)
1. Let's plug in the values we know
r = common ratio = 2 n = 12a(2)^(12-1)
2. Set equation equal to 6144 (Since we use n = 12) and solve for a
a = 6144/ (2^11) a = 3To confirm this, let's use the formula for geometric equations again:
a(r)^(n-1)
a = first term = 3
r = common ratio = 2
3(2)^(12-1) = 6144
Therefore, a1 = 3
6029-5817 is the correct answer 45
the answer is 212 .... not sure where 45 came from
Identify and write down the keywords in the word problem. (1.) Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3. Evaluate the expression 2g + 3a when g = 4 and a = 8 to find the cost of buying 4 cartons of grape juice and 8 cartons of apple juice. What is the difference in price Missy and Jared paid? Show your work.
The cost of the 4 cartons of grape juice and 8 cartons of apple juice will be $32 and the difference is $12.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3.
The cost of 4 grapes and 8 apples will be,
Cost = 2g + 3a
Cost = ( 2 x 4 ) + ( 3 x 8 )
Cost = 8 + 24
Cost = $32
The difference in the price Missy and Jared paid is,
Difference = $32 - $ 20
Difference = $12
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Find the equation of the exponential function represented by the table below: 1 4 16 64