Answer:
30 students
Step-by-step explanation:
The 15 students that came were 30% of the class:
30% = 15 students
To find 100%, we can first find 10% by dividing both sides by 3
10% = 3 students
(30% ÷ 3 = 10%, 15 ÷ 3 = 5)
Then, multiply both sides by 10 to get 100%
100% = 30 students
(10% × 10 = 100, 3 × 10 = 30)
If f(x) is an exponential function where f(-2) = 1 and f(7) = 63, then find the
value of f(1), to the nearest hundredth.
An exponential function is represented as: [tex]\mathbf{f(x) = ab^x}[/tex]
The value of f(1) is 3.95
f(-2) = 1 means that:
[tex]\mathbf{ab^{-2} = 1}[/tex]
f(7) = 63 means that:
[tex]\mathbf{ab^{7} = 63}[/tex]
Divide both equations
[tex]\mathbf{\frac{ab^7}{ab^{-2}} = \frac{63}{1}}[/tex]
Apply law of indices
[tex]\mathbf{b^9 = 63}[/tex]
Take 9th root of both sides
[tex]\mathbf{b =1.58}[/tex]
Make a, the subject in [tex]\mathbf{ab^{-2} = 1}[/tex]
[tex]\mathbf{a = \frac{1}{b^{-2}}}[/tex]
[tex]\mathbf{a = b^2}[/tex]
Substitute [tex]\mathbf{b =1.58}[/tex]
[tex]\mathbf{a = 1.58^2}[/tex]
[tex]\mathbf{a = 2.50}[/tex]
So, we have:
[tex]\mathbf{f(x) = ab^x}[/tex]
[tex]\mathbf{f(x) = 2.50 \times 1.58^x}[/tex]
Substitute 1 for x
[tex]\mathbf{f(1) = 2.50 \times 1.58^1}[/tex]
[tex]\mathbf{f(1) = 3.95}[/tex]
Hence, the value of f(1) is 3.95
Read more about exponential functions at:
https://brainly.com/question/3127939
The product of 18 and Q algebra expression
Answer:
18q
Step-by-step explanation:
18*q=18q
Hope that helped :)
Answer:
[tex]18 \times q[/tex]
[tex]18q[/tex]
multiply 18 by q to get 18q as the answer
Find the measure of each marked angle.
Answer:
X= 15, m∠78°
Step-by-step explanation:
Since the angles are vertically opposite
Therefore their measurements are equal
Therefore (2x + 48 ) = (5x + 3 )
So,
[tex](2x + 48) = (5x + 3)\\(2x-5x)= (3-48)\\-3x = -45\\x = -45/-3\\x = 15[/tex]
[tex](2x + 48)\\=( 2* 15 + 48)\\= 30 + 48\\=78\\\\(5x + 3)\\=(5*15 + 3)\\=75+3\\=78[/tex]
They both equal 78°
Four students are playing a card game. They decide to choose the first person to play by each selecting a card from the 52-card deck and looking for the highest card in value and suit. They rank the suits from lowest to highest: clubs, diamonds, hearts, and spades. (a) If the card is replaced in the deck after each student chooses, how many possible configurations of the four choices are possible
Answer:
Step-by-step explanation:
5X-50+2X+80-X=180..............
Hey there!
5x - 50 + 2x + 80 - x = 180
COMBINE the LIKE TERMS
= 6x + 30 = 180
SUBTRACT 30 to BOTH SIDES
6x + 30 - 30 = 180 - 30
CANCEL out: -30 - 30 because that gives you 0
KEEP: 180 - 30 because it helps solve for the x-value
6x = 180 - 30
180 - 30 = 150
NEW EQUATION: 6x = 150
DIVIDE 6 to BOTH SIDES
6x/6 P 150/6
CANCEL out: 150/6 because that gives you the result of the x-value
x = 150/6
SIMPLIFY IT!
x = 25
Therefore, your answer is: x = 25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Factor the following
1. 15x+ 20
2. 18x-12
3. 6m+8n+4
(3n-4n+1)-(8n-4n+17)
Answer:
-5n - 16
Step-by-step explanation:
Step 1: Distribute the negative sign.
[tex]3n - 4n + 1 + (-1)(8n) + (-1)(-4n) + (-1)(17)[/tex] [tex]3n - 4n + 1 - 8n +4n - 17[/tex]Step 2: Combine like terms.
[tex](3n-4n-8n+4n)+(1-17)[/tex] [tex]-5n - 16[/tex]Therefore, the answer is -5n - 16.
help me with this problem please
Answer:
[tex]y = \frac{ - 3x + 6}{2} = \\ x = 4 \\ y = \frac{ - 3 \times 4 + 6}{2} = \frac{ - 12 + 6}{2} = \frac{ - 6}{2} = - 3[/tex]
The formula for the volume of a cone is shown below. V represents the volume, r radius and h height.
What is the height of a cone with a volume of 110 cubic cm and a base of 5 cm (so the radius is 2.5 cm)
V=1/3pir^2h
Answer:
110/5=2
2,5.5=15
2+15=17
Step-by-step explanation:
From an elevation of 0.5 m below the surface of the water, a swimmer dives at a rate of 0.25 m/s. What is the depth of the swimmer after 4 minutes?
Answer:
gg
Step-by-step explanation:
2x + y + 6z = + 1
3x + 2y + 5z = 16
7x + 3y - 4z = 11
Answer:
1) x=1/2-y/2-3z
2)x= 16/3- 2y/3- 5z/3
3)x= 11/7- 3y/7+ 4z/7
Step-by-step explanation:
isolate the variable, to do that divide each side by the factors that don't contain the variable
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
5 packages of water and 3 packages of cheese sticks
Step-by-step explanation:
the least common multiple of 6 and 10 is 30
please help me, please
Answer:
A: 51
B:45
C:29
D:-316
Answer:
a. 51
b. 9
c. -3
d. -316
A package of 5 pairs of insulated gloves costs $38.45 What is the unit price of the pairs of gloves? pls answer fast!!!!
Answer:
7.69 per gloves
Step-by-step explanation:
1) Delectable Cookie Company sells chocolate chip cookies for $6.95 per pound and
white chocolate cookies for $5.95 per pound. How many pounds of chocolate chip
cookies should be mixed with 4 pounds of white chocolate cookies to obtain a mixture
that sells for $6.75 per pound?
Answer: 16lbs
Step-by-step explanation: CCC=Chocolate Chip Cookie; WCC=White Chocolate Cookie.
Set up a table showing the pricing ($/lb) and pounds (lbs) for both cookies. The total value of the WCC is $23.8 ($5.95/lb x 4 lbs). The value of the CCC is 6.95x, where x is the lbs CCC.
CCC WCC
6.95 5.95 $/lb
x 4 lbs
6.95x 23.8 $ Total value [$/lb * lbs]
We want x lbs of CCC cookies such that the total value of cookies divided by the total number of lbs is equal to $6.75/lb. That can be written as:
(6.95x + 5.95*4)/(x+4) = 6.75 [Total value of cookies divided by total weight equals $6.75]
(6.95x + 23.8)/(x+4) = 6.75
6.95x + 23.8 =6.75x + 27
0.2x = 3.2
x = 16 lbs
We need 16 lbs of CCC added to the 4 lbs of WCC for a total weight of 20 lbs and a price of $6.75/lb.
A nursery has $50,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 27% and the profit on a red maple tree is 17%. The profit for the entire stock is 20% how much was invested in each type of tree. I NEED THE ANSWER ASAP PLEASE
Answer:
Sorry do not have your answer
Step-by-step explanation:
Please help me find the answer.
Answer: sqrt 91
Step-by-step explanation:
We can substitute in y here as 30, so that 60+102=2x^2
182=2x^2
In the order of operations, it states that exponents comes before multiplication
91=x^2
So x will be the square root of 91
I’ve spent too long on this. Pls help!!
Answer: bro i dont know. SORRY :(
Answer:
14 10 cent coins
Step-by-step explanation:
Assumption method:
Assume all are 10 cent
10x48=$4.80
8.20-4.80=3.40
10x47=$4.70
1x20=$0.20
$4.70+$0.20=$4.90
Gap= $3.40
Difference=$4.90-$4.80=$0.10
Gap÷Difference= $3.40÷0.10=34 20 cent coins
48-34=14 10 cent coins
I think its like this.
What does angle A equal
y=5x+2 I just need to find the slope
Answer:
the slope is 5. this is bc the m in y=mx+b is the slope
Determine whether the pair of lines is parallel, perpendicular, or neither.
x−2y=−1
y=5x−3
Answer:
neither
Step-by-step explanation:
put the first equation in slope intercept form
x-2y=-1
-2y= -x -1
y = 1/2x +1/2
the slope is not the same, and it is not the opposite, so it is neither
have a lovely day <3
There are 20 passengers in 10 cars. How many passengers per car?
Answer:
2 in each car. Simple.
Step-by-step explanation:
Answer: it’s two cause 20 divided by 10 is 2.
solve the equation and check the solution 3x+2(x+2)=22-3(2x-5)
Answer:
x=3
Step-by-step explanation:
how much are 3 books if they add up to $24 and all of the prices are multiples of 4
help o don’t know any of theses answers please help me
Answer:
it's c
Step-by-step explanation:
c is the answer becuse its showing u that ob is perpenlicular to Ac
83% of408 ndjfjjfjfjfjfjfjfjfjfjfjfjfnfnnfndndnd
Answer:
338.64
Step-by-step explanation:
Multiply 408 by .83 and get 338.64.
plsss someone help mee asap. Giving brainliest!!
Answer:
12.2
the answer is 12.2
using the check method
you will know I am correct
Solve for x
And show work
Answer:
2x - 20 + 7 = x - 1
2x - 13 = x-1
2x = x+12
x = 12
QUICKKK QUICCKK QUICKK PLZZZ HELPP ME
How do you graph 2x+5
Answer:
Read explanation
Step-by-step explanation:
First you put a point on (0,5). Then you perform rise/run which is the slope. The slope is 2. So from (0,5) you go up 2 and to the right one and make another point. You then use a ruler and draw a line connecting them and put arrows at the end.