If f(x) = 2(3^x) + 1, what is the value of f(2)?
(1) 13
(3) 37
(2) 19
(4) 54
Answers
Answer:
Given
F ( x ) = 3 x 2 + 1 , to find F ( − 2 ) , we have to just put
x = − 2 in the formula for F ( x ) .
therefore , F ( − 2 ) = 3 ( − 2 ) 2 + 1 = 3 ( 4 ) + 1 = 13 .
Related Questions
Let measure of angle B be 18 degrees and BC = 9. Find the length of AC, BA and the measure of angle C. Round to 1 decimal place when needed. Show all of your work.
Answers
Answer:
m∠C = 72°
BA = 8.6
AC = 2.8
Step-by-step explanation:
We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:
m∠A + m∠B + m∠C = 180°
And substitute what we have:
90° + 18° + m∠C = 180°
108° + m∠C = 180°
m∠C = 72°
In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:
cos(∠B) = [tex]\frac{BA}{BC}[/tex]
cos(18°) = [tex]\frac{BA}{9}[/tex]
9 * cos(18°) = BA
BA ≈ 8.559508647
And when we round, we get:
BA = 8.6
In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:
sin(∠B) = [tex]\frac{AC}{BC}[/tex]
sin(18°) = [tex]\frac{AC}{9}[/tex]
9 * sin(18°) = AC
AC ≈ 2.781152949
We can round this to:
AC = 2.8
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Answers
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
PLEASE HELP
the balance on an 8 year loan is 9,768. if the simple interest rate is 4% what did the principal borrow
Answers
Answer:
Step-by-step explanation:
what
Henry's paycheck was 3,200$. He spent 25% of his paycheck on rent and 0.37 of his paycheck on other expenses. How much money did henry have left?
Answers
Answer:
3,138
Step-by-step explanation:
hope this helps!
ASAP
(AND HOW DID YOU GET THE ANSWER)
- Will mark brianist
Answers
its c
Step-by-step explanation:
Answer:
A) The mean would increase
Step-by-step explanation:
Find the probability of rolling divisors of 8.
Answers
The divisors of 8 are 1,2,4, and 8
I’m interpreting as rolling the number on the die not the sum of the dice
So it’s 3/6 numbers on the die or 1/2 and there are two dice to rolling a divisor of 8 on both dice is 1/2 x 1/2 or 1/4
There are 4 brown socks and 14 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then he pulls
out another sock and puts it on his left foot.
What is the probability that Jason has two brown socks on his feet?
Answers
Answer:
2/51
Step-by-step explanation:
# of brown socks = 4
# of blue socks = 14
total # of socks = 18
The probability of pulling 1 brown sock = 4/18
If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks
So after the first pull ( if it were to be a brown sock )
there would only be 3 brown socks and 17 total socks
So the probability of pulling a brown sock then would be 3/17
Finally we multiply the two probabilities to get the answer
4/18 * 3/17 = 2/51
Hence, the answer is 2/51
y=x+3
y=1/3x-5
solve and graph
Answers
Answer:
(-9, -12)
Step-by-step explanation:
Given the expressions
y=x+3
y=1/3x-5
Equating both expressions;
y = y
x + 3 = 1/3x - 5
x - 1/3x = -5 -3
2/3 x = -8
x/3 = -4
x = -12
Since
y = x+ 3
y = -12 + 3
x = -9
Hence the required solution is (-9, -12)
At the end of her work day at the Ferguson Corporation, Sarah usually
walks to the subway station to travel home. Today, she is walking to the
Springdale Town Center first to take care of some errands. She will then
continue walking to the subway station to travel home. The map of these
routes is shown below.
2000 feet
Subway
Ferguson
Corporation
Station
Springdale
Town Center
If Sarah walks to the Springdale Town Center from the Ferguson
Corporation and then to the Subway Station, how much farther will she
walk than if she walks directly to the Subway Station from the Ferguson
Corporation? Show all of your work.
Answers
Answer:
1263.7032 feets
Step-by-step explanation:
Distance from Ferguson corporation to Springdale Town center ; let the distance = x
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 27 = x / 2000
0.5095254 * 2000 = x
1019.0508 feets
Distance from Springdale to Subway station, this is the hypotenuse :
Hypotenuse = √(1019.0508² + 2000²)
Hypotenuse = √5038464.7
Hypotenuse = 2244.6524 feets
Total distance walked from Ferguson to Springdale, then to Subway ;
(1019.0508 + 2244.6524) feets = 3263.7032 feets
Additional distance walked :
(3263.7032 feets - 2000 feets) = 1263.7032
In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:
[tex]H=1263.7032 feets[/tex]
We can use the definition of tangent to calculate:
[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]
Now using the Pythagorean theorem we have:
[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]
See more about triangles at brainly.com/question/2269348
For the triangle above, write the correct part of the triangle (opposite, adjacent, otr hypotenuse)
For the triangle above, write the trigonometric ratio for each function. (Use “/” for fraction bar)
Will give brainliest
Answers
Answer:
this is the answer please give brainliest
Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles
Answers
Answer: 0.5
Step-by-step explanation:
Given
There are 3 blue and 1 yellow marble
The chance of picking two marble out of 3 is [tex]^3C_2[/tex]
The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]
Therefore, the probability of picking 2 blue marbles
[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]
BRAINLY! BRAINLIST. HELP ME. HELP. ANY QUESTION!!!
Answers
Answer:
Number one is 1624cm²
Number two is 32in²
For these problem you area calculating the surface area of the given objects. To calculate surface area you find the area of each side of the object and adding them together. length multiplied by width is the equation for area.
Simplify:
3x2 – 2x + 1 = [?]
x=2
Answers
Answer:
9
Step-by-step explanation:
3×2² -2×2 +1 = 3×4-4+1=12-4+1=9
Answer:
9
Step-by-step explanation:
Substitute x = 2 into the expression
3(2)² - 2(2) + 1
= 3(4) - 4 + 1
= 12 - 4 + 1
= 8 + 1
= 9
100 ÷ 10 • 2 • 4 ÷ 2
40
0.625
20
10
Answers
Answer:
40
Step-by-step explanation:
100/10*2*4/2
10*2*4/2
20*4/2
20*2
40
If this helps please mark as brainliest
Answer:
40
Step-by-step explanation:
100/10=10
10*2=20
20*4=80
80/2=40
You spin a spinner labeled 1-10 evenly. what are the chances you will get an odd number?
Answers
Answer:
1/2
Step-by-step explanation:
On a number line 6.64 would be located 
Answers
look at the screenshot pls help
Answers
Answer:
A = 6
B = 5.5
Step-by-step explanation:
16/8 = 2 so just multiply by 2 for 3, and divide by 2 for 11
yes
Step-by-step explanation:
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
Answers
The cost of a t-shirt is £3 and the cost of a hat is £2.
What is a linear equation?
When an equation contains one or more variables with exponents as 1 then such equations are linear equations.
For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.
Let the cost of a t-shirt is £m and the cost of a hat is £n.
Formulate two linear equations using the given statements in the question.
[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]
Obtain the value of m from equation (1).
[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]
Substitute the obtained value of m into equation (1) and find n.
[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]
Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.
[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]
Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.
Learn more about linear equations at https://brainly.com/question/11897796
#SPJ2
I’m lost, my deadline in 7 days and I’m virtually brain dead, anyone know dis
Answers
Answer:
[tex]x=\frac{3+-\sqrt{13}}{2}[/tex]
Step-by-step explanation:
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answers
Answer:
5/16 pounds
Step-by-step explanation:
The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.
Answer:
0.3125 pounds
Step-by-step explanation:
Each wedge of cheese weights 0.1325 pounds
Solve (3^p times 81 = 9) for p
Answers
Answer:
p = -2
Step-by-step explanation:
Start by dividing both sides by 81 to get the power by itself.
[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]
Write the fraction using a power of 3.
[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]
This assumes you know about negative exponents: [tex]a^{-n}=\frac{1}{a^n}[/tex]
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
Answers
2. x=8/125
3. x=5
4. x=4/5
Find the distance speed=96km/h time=20 mins
Answers
Answer:
32km
Step-by-step explanation:
speed=96km/h
time=20mins=1/3hour
Distance=Speed×Time➜96×1/3
➜96/3
➜32km
What is 2√47. please help me. I need this ASAP
Answers
Answer:
13.7113092008
Step-by-step explanation:
hope this helps
Answer:
As a decimal form it is 13.71130920... If you are looking for another form just tell me I am happy to help
Step-by-step explanation:
A map scale has 1cm:3miles the distance between two towns 7 cm what is the real life distance between the two towns?
Answers
Answer: 21 miles
Step-by-step explanation:
7x3 = 21 miles
Please help!! Will give BRAINLIEST!!!!
Answers
Answer:
domain is all real numbers except -6
Step-by-step explanation:
Answer:
domain is all real numbers except -6
Step-by-step explanation:
Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)
Answers
Answer:
If you still need the answer it’s c
Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,
The factorization is the form
(x-a) (x-b) where a and b are the zeros
(x-3) (x-2)
Which expression is equivalent to csc x – sin x?
a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x
Answers
good luck :)
Answer:
a edge 2021
Step-by-step explanation:
Terry wants to order tickets online for an amusement park. The cost of the tickets is
$15.00 per person. There is also a $3.50 one-time service fee for ordering tickets online.
Write an expression in terms of n that represents the cost for ordering n tickets online.
Answers
Answer:
15x+3.5=N
Step-by-step explanation:
hope this helps :)
Answer:
15.00n+3.50
Step-by-step explanation:
I think it is that scence I am not sure what the todal is but if that is wrong just flip flop it scence $15 will always be with the vareable in this case scence it isthe only number that can change but multiplying with 2+.
find YZ pls fast correct
Answers
Answer:
44Step-by-step explanation:
According to intersecting chords theorem:
21(2x - 6) = 30(x + 1)42x - 126 = 30x + 3042x - 30x = 126 + 3012x = 156x = 156/12x = 13Find the value of YZ:
YZ = 30 + 13 + 1 = 44[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{21(2x - 6) = 30(x + 1)}[/tex]
[tex]\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}[/tex]
[tex]\large\textsf{21(2x) = 42x}[/tex]
[tex]\large\textsf{21(-6) = -126}[/tex]
[tex]\large\textsf{30(x) = 30x}[/tex]
[tex]\large\textsf{30(1) = 30}[/tex]
[tex]\large\textsf{42x - 126 = 30x + 30}[/tex]
[tex]\large\text{Put ALL your LIKE TERMS TOGETHER}[/tex]
[tex]\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}[/tex]
[tex]\large\textsf{42x - 30x = 12x}[/tex]
[tex]\large\textsf{126 + 30 = 156}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{12x = 156}}[/tex]
[tex]\large\text{DIVIDE 12 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}[/tex]
[tex]\mathsf{\dfrac{156}{12}=\bf 13}[/tex]
[tex]\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}[/tex]
[tex]\large\textsf{30 + 1 + 13}[/tex]
[tex]\large\textsf{30 + 1 = \bf 31}[/tex]
[tex]\large\textsf{= 31 + 13}[/tex]
[tex]\large\textsf{= \bf 44}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]