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
Solve.
-7} + (-5) + 8 = 0
6
-21
-4.5
3
Answers
Answer: -4=0
Step-by-step explanation:
The deposit on one can is $0.05, what is the deposit on 23 cans?
Answers
Answer: $1.15
Step-by-step explanation:
Data 1 can(c)=0.05
23 cans(c)=x
Only step, multiply 23x0.05=1.15
Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c
Answer: $1.15(Don't forget the dollar sign)
I hope this helps!
- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?
Answers
Answer:
20
Step-by-step explanation:
1000g = 1 kil0
2 x 1000 = 2000g
Number of cakes = 2000 / 100 = 20
what value of x makes 8x - 20 equals to 44?
Answers
Answer:
x = 8
Step-by-step explanation:
8x - 20 = 44
8x - 20 + 20 = 44 + 20
8x = 64
8x ÷ 8 = 64 ÷ 8
x = 8
What were the dimensions of the original photo? 11 inches by 11 inches 5 inches by 5 inches 3 + 4 StartRoot 2 EndRoot inches by 3 + 4 StartRoot 2 EndRoot inches 3 4 StartRoot 2 EndRoot inches by 3 4 StartRoot 2 EndRoot inches
Answers
Answer:
11x11 inches
Step-by-step explanation:
You are missing the first part of the problem, which is the following:
"Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?"
With this in mind, we just need to solve the equation and determine the value of x. The equation is:
(x - 3)² = 64
Solving this, we have:
x - 3 = √64
x - 3 = 8
x = 8 + 3
x = 11Therefore, we can conclude that the original dimensions of the photo are 11x11 inches.
Hope this helps
Answer:
11x11
Step-by-step explanation:
use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150
Answers
Answer:
See Explanation
Step-by-step explanation:
This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.
Solving (a): The equation
Pick any [tex]two[/tex] [tex]points[/tex]on the [tex]trend[/tex] line
[tex](x_1,y_1) = (30,40)[/tex]
[tex](x_2,y_2) = (80,70)[/tex]
[tex]y = 0.6x + 22[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{70 - 40}{80-30}[/tex]
[tex]m = \frac{30}{50}[/tex]
[tex]m = 0.6[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0.6(x - 30) + 40[/tex]
[tex]y = 0.6x - 18 + 40[/tex]
[tex]y = 0.6x + 22[/tex]
Solving (b): y, when [tex]x = 21[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]x = 21[/tex]
[tex]y = 0.6 * 21 + 22[/tex]
[tex]y = 12.6 + 22[/tex]
[tex]y = 34.6[/tex]
Solving (c): x when [tex]y=150[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]y=150[/tex]
[tex]150 = 0.6x + 22[/tex]
Collect like terms
[tex]0.6x = 150 -22[/tex]
[tex]0.6x = 128[/tex]
Solve for x
[tex]x = \frac{128}{0.6}[/tex]
[tex]x = 213.3[/tex]
You are on a boat and measuring the height of a lighthouse, off in the distance. Your boat is 45ft from the coast. You measure the angle of elevation from your point on the boat to the top of the lighthouse to be 59∘. Find the height of the lighthouse to the nearest foot.
Answers
x is the angle of elevation
Opposite is the height of the light house
Adjacent is the distance from coast
Tan(x) = opposite/adjacent
tan (59) = opposite/ 45
tan(59) x 45 = opposite
opposite = 74.893
The height of the light house (from sea level) is 75 foot.
Naveen earns Rs 55,000 per month .He spends 3/5 of his income every month and saves the rest of the money .Find his monthly savings ?
Answers
Answer:
Rs.22000
Step-by-step explanation:
Given data
Naveen earns Rs 55,000 per month
He spends 3/5 of his income every month
Let us find the amount he spends
=3/5*55,000
=165000/5
=Rs.33000
Hence the savings is
= 55,000-33000
=Rs.22000
Alexia surveyed 50 classmates about their favorite ice cream flavors. Each
classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
Coffee
14%
Chocolate
42%
Vanilla
Strawberry
18%
How many more of Alexia's classmates chose chocolate than chose vanilla?
Answers
Answer:
8
Step-by-step explanation:
Line p is parallel to line q. Which proof explains why the sum of the interior angles of the triangle must be 180⁰?
Answers
Answer:
See proof below
Step-by-step explanation:
Find the diagram attached.
From the diagram, sum of angle on the straight line l is 180degrees that is:
<A' + <B' + <C' = 180° .... 1
Also note that
<A = <A' (corresponding angle) ...2
<B = <B' (corresponding angle) ... 3
<C = <C' (vertically opposite angle) ...4
Substitute 2, 3 and 4 into 1, we will have:
A+B+C = 180°
This shows that the sum of the interior angles of the triangle A B and C is 180°
find the quotient of 45÷ 5
Answers
The probability of getting a sum of 7 or 11 by rolling two dice is 2/9 True or false please answer my question
Answers
Answer:
IT IS FALSE
Step-by-step explanation:
What trig function do you use to find x
Answers
Answer: Sine
Step-by-step explanation:
From the point of the angle we can see that x is the opposite. Since x is the opposite and the hypotenus is given then from SOHCAHTOA the trigonometric function used I finding x is sine.
Answer:
sine
Step-by-step explanation:
have a great day and I hope helpful
how is 4(x+3) equal to 12+4x
Answers
Answer:
When distributed, 4(x+3) = 12+4x
What is the perimeter of the kite?
a.44
b.140
Answers
Answer:
B.) 140 is your answer for your problem
IF U ANSWER THIS U ARE SWAG
Is the triangle equilateral, isosceles, or scalene? Pls explain ur answer too
Answers
Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2
Answers
Answer:
B97.60
Step-by-step explanation:
I got b bc if u add all the number up u get that answer.
If the rectangle below is enlarged using a scale factor of 1.5, what will the perimeter of the new rectangle be?
Group of answer choices
24 in
54 in
16.5 in
33 in
Answers
Answer:
33 in
Step-by-step explanation:
hope this helps i think it's right
Given: sintheta=5/13
Find sin: 2theta
Answers
Answer:
sin 2θ=120/169
Step-by-step explanation:
What value of x makes this statement true?
3.2 = 2x + 12
Answers
Answer:
-4.4
Step-by-step explanation:
help me solve this please
Answers
[tex] \huge\underline{ \underline{ \bf{Answer࿐} }}[/tex]
parallel sides measure :
10 ft -(a)12 ft. -(b)Area :
44 ft²height (h) = x
___________________
[tex] \boxed{Area = \frac{1}{2} \times (a + b) \times h}[/tex]
[tex] \dfrac{1}{2} \times (10 + 12) \times x = 44[/tex][tex] \dfrac{1}{2} \times 22 \times x = 44[/tex][tex]11x = 44[/tex][tex] \boxed{ 4 \: \: ft}[/tex]Therefore, height of Trapezoid is 4 ft
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Ciana Thomas drove her car 11,500 miles last year. Her fixed costs totaled $1,214 and her variable costs totaled $2,450. What was her cost per mile?
Answers
Answer:
11502
Step-by-step explanation:
URGENT!!
The length of a rectangle is five more than double the width. Find the dimensions if the
perimeter is 88m.
Answers
Answer:
13, 31
Step-by-step explanation:
Set the width as x.
Length: 2x + 5
Perimeter:
(x) + (2x + 5) + (x) + (2x + 5) = 88
Simplify.
6x + 10 = 88
Solve.
6x = 78
x = 13
Substitute this into the previous equations
Width: 13
Length: 31
Answer:
The length is 31m and the width is 13m.
Step-by-step explanation:
Start by translating the word problem into an equation. 5 more than double the width is written as 2w + 5. Then substitute that into the equation for the perimeter. It should look something like this:
88 = 2(2w +5) + 2w
Then simplify by combining like terms and solve for the width (w).
88 = 6w + 10
78 = 6w
13 = w
Now that we have the width, we can plug it back into the equation we made for the length.
l = 2w + 5
l = 2(13) + 5
l = 26 + 5
l = 31
I hope this could help!
Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3
Answers
Find the surface area and volume of the pyramid.
Answers
Given:
The figure of a square base pyramid.
To find:
The area of volume of the pyramid.
Solution:
The area of square base is:
[tex]B=(side)^2[/tex]
[tex]B=(16)^2[/tex]
[tex]B=256[/tex]
Area of one triangular side of the pyramid is:
[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_1=\dfrac{1}{2}\times 16\times 13[/tex]
[tex]A_1=104[/tex]
Now, the total surface area of the pyramid is:
[tex]A=B+4A_1[/tex]
[tex]A=256+4(104)[/tex]
[tex]A=256+416[/tex]
[tex]A=672[/tex]
Therefore, the surface area of the pyramid is 672 square m.
The volume of the pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area and h is the vertical height of the pyramid.
Substituting [tex]B=256,\ h=6[/tex], we get
[tex]V=\dfrac{1}{3}(256)(h)[/tex]
[tex]V=(256)(2)[/tex]
[tex]V=512[/tex]
Therefore, the volume of the pyramid is 512 cubic meters.
Hence the correct option is d.
Find the volume of a drum with a radius of 7 inches and a height of 15 inches
Answers
Answer:
pi*15*7^2=735pi=2309 (to the nearest whole number)
What is Limit of h (x) as x approaches 10 plus? 12.5 13 18.5 19
Answers
Answer:
the answer is C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
please answer below :-)
Answers
Answer:
Ur answer is B!!!
Step-by-step explanation:
I have no time to explain but trust me ive had this question
Liam is planning a trip to Ireland and plans to pay for his airfare using Air Miles. The cost
for a flight from Toronto to Dublin is $625 plus $123 in fees and HST. Liam will need a
return ticket as well which retails for the same cost. Liam also intends to use his Aeroplan
points to get the flight. The cost of a flight in Aeroplan points is 80,000 one way and does
not include additional fees, but does include HST. Liam currently has 120,000 Aeroplan
points and plans to drain his account on these flights. How much will Liam pay for his
trip?
Hint: Sales Tax (HST) in Ontario is 13%
Answers
The best price found on Skyscanner for a flight from Dublin to Toronto is €289. This was found by aggregating across different carriers and is the cheapest price for the whole month. How long does it take to fly from Dublin to Toronto? 7h 20min is the average flight time from Dublin to Toronto. How many airlines fly direct from Dublin to Toronto?
YA'LL LOOK
https://picrew.me/image_maker/678875/complete?cd=CoL7ZrEndz
whats the square root of 81
Answers
Answer:
Square root of 81 is 9
Step-by-step explanation: