Given the function [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1) = 15
The given function is:
[tex]f(x)=8^x+7[/tex]
To find f(1), substitute x = 1 into f(x) and evaluate for the result
[tex]f(1)=8^1+7[/tex]
Simplify the resulting equation to get the final result
f(1) = 8 + 7
f(1) = 15
Therefore, given [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1) = 15
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Solve 2^2x-3 = 128. X =
Answer:
x=131/4
Step-by-step explanation:
please help!!!!!!!!!
Answer:
reserved tickets = 6 and general admissions tickets = 15
Step-by-step explanation:
[tex]25r + 10g = 150[/tex]
Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.
Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g
[tex]25(0) + 10g = 150 \\ 10g = 150[/tex]
divide both sides by 10
[tex] \frac{10g}{10} = \frac{150}{10} \\ g = 15[/tex]
Now set g equal to zero since he isn't buying any general tickets. Solve for r.
[tex]25r + 10(0) = 150 \\ 25r = 150[/tex]
divide both sides by 25
[tex] \frac{25r}{25} = \frac{150}{25} \\ r = 6[/tex]
If 6 numbers have a mean of 5, and five of the numbers are 3, 2, 1, 7, and 6, what is the sixth number?
Answer:
see below
Step-by-step explanation:
the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11
What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?
y = -2/3x is the answer
What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?
y=-2/3x
what fraction is this shape is shaded
4(t²-5t) + 3u³ when t=4 and u=5?
ASAP
Answer: 359
Step-by-step explanation:
4(t²-5t) + 3u³ plug in the t and u
= 4[4²-5(4)] + 3(5)³
= 359
can i have help with this please
Answer:
Your answer is [tex]2c^{2}[/tex]
A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.
Answer:
Step-by-step explanation:
a)
p
(
red marbles
)
=
6
6
+
8
p
(
red marble
)
=
3
7
b)
p
(
o
d
d
n
u
m
b
e
r
s
)
=
3
+
4
6
+
8
p
(
o
d
d
n
u
m
b
e
r
s
)
=
1
2
c)
p
(
red marbles or odd numbers
)
=
p
(
red marbles
)
+
p
(
odd numbers
)
−
p
(
red marbles and odd numbers
)
p
(
red marbles or odd numbers
)
=
6
14
+
7
14
−
3
14
p
(
red marbles or odd numbers
)
=
10
14
d)
p
(
Blue marbles or even number
)
=
p
(
Blue marbles
)
+
p
(
even numbers
)
−
p
(
blue marbles and even numbers
)
p
(
Blue marbles
)
=
8
14
p
(
even numbers
)
=
7
14
p
(
Blue marbles or even number
)
=
8
14
+
7
14
−
4
14
p
(
Blue marbles or even number
)
=
11
14
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What is Probability in Math? - Definition & Overview
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Chapter 24 / Lesson 7
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The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.
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it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour
Answer:
Step-by-step explanation:
Clays rate is 1/2 hour per lawn. We can write this as Rate = 3/2 hr/lawn.
If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:
(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.
a 4 foot statue has a shadow of 3 feet.next to the statue is a telephone pole with a shadow of 18 feet.what is the height of the telephone pole
Answer:
c 15.9 m
Step-by-step explanation:
you are welcome
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
d>-7
Step-by-step explanation:
i'll mark brainiest if right answer
Answer: x=2 y=18
Step-by-step explanation
Solve for x and not to scale
Answer:
x = 90
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{BC}{NE}[/tex] = [tex]\frac{AB}{TN}[/tex] , substitute values
[tex]\frac{3}{27}[/tex] = [tex]\frac{10}{x}[/tex] ( cross- multiply )
3x = 270 ( divide both sides by 3 )
x = 90
A shipping box is shaped like a rectangular prism. The box is 1 1/5 feet wide, 3 feet long, and 4 1/2 feet tall. What is the volume of the shipping box
Answer:
4.95
Step-by-step explanation:
The volume of the rectangular prism is 16.2 ft³.
What is volume?The volume of any object defined the capacity of it, how much it can hold something is called its volume.
Given is rectangular prism, we need to find the volume of the same,
So, we know that the volume of a rectangular prism is the product of its dimensions.
V = length × width × height.
[tex]V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3[/tex]
[tex]V = \frac{6}{5} \times \frac{9}{2} \times 3[/tex]
V = 162/10
V = 16.2
Hence, the volume of the rectangular prism is 16.2 ft³.
Learn more about volumes, click;
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#SPJ2
If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of RS and ST
Answer:
a. RS= 3x + 1 =64
group like teams
3x =64 - 1
3x=63
divide both sides by 3
Ans: RS= 21
b. ST= 2x - 2 =64
group like teams
2x= 64-2
2x=62
divide both sides by 2
Ans:ST=31
∆ RS= 21 and ST=31
help me please question in picture
Answer:
the answer is 3x as that is the slope
Answer:
3
Step-by-step explanation:
yeah < 3
3x- 25 = 11x -5 + 2x
Please show working.
[tex]3x-25 =11x -5 +2x \\\\\implies 3x -25 = 13x-5\\\\\implies 13x -3x = 5-25\\\\\implies 10x = -20\\\\\implies x = -2[/tex]
What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).
Answer: C
Step-by-step explanation:
need helps i will give brainliest
Answer:
2401
Step-by-step explanation:
two thousand four hundred and one
Step-by-step explanation:
First let's put your equation
[tex]7 {}^{4} [/tex]
This also be phrased as
[tex]7 \times 7 \times 7 \times 7[/tex]
Now let's start solving
[tex]49 \times 7 \times 7 [/tex]
Multiply again and we get
[tex]343 \times 7[/tex]
and finally when we multiply again
[tex]2401[/tex]
Have a good day :) !How do I simplify 12+2c+6d-8c+d
Hello there! :)
12+2c+6d-8c+d
Combine like terms:
2c-8c+d+6d+12
-6c+7d+12
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature :)[/tex]
The simplified equation will be 12+7d-6c. By adding the same terms the equation can be simplified.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
The given equation is;
12+2c+6d-8c+d
By adding the same terms the equation can be simplified;
[tex]\rm 12+2c+6d-8c+d \\\\ 12+7d-6c[/tex]
Hence the simplified equation will be 12+7d-6c.
To learn more about the simplification refer to the link;
https://brainly.com/question/23509407
Help me please (NO WRONG ANSWERS!) Pictures below
what's the opposite of 42?
Answer:
- 42
Step-by-step explanation:
The opposite of 42 is negative 42.
Represent the following expressions as a power of the number a where a≠0 a^2*(a^4)^3÷a^13
100 POINTS NOW
Answer:
aStep-by-step explanation:
[tex]a^2*(a^4)^3:a^{13}=[/tex][tex]a^2*(a^4)^3:a^{13}=\\a^{2 + 4*3-13}=[/tex][tex]a^{14-13}=[/tex][tex]a[/tex]Answer:
the answer is just a
Step-by-step explanation:
Find the slope of the line graphed below. 21 points!
Answer:
The answer is 1.5
Step-by-step explanation
First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!
If for evry 15 there is 25 what is the number for just 5
Answer:
I think it may be 8.3.
Step-by-step explanation:
15 = 25
15÷3=25
25÷3=8.3333333
Round it to 1 decimal place and you get 8.3
PLEASE HELP What appears to be the range of the part of the exponential function graphed?
A- x ≤ 1
B- h(x) ≤ 1
C- x ≤ 5
D - h(x) ≤ 5
Answer:
A) Variable "x" is less than it equal to 1 because your domain can’t have [h(x)] because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the variable "x" coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain
Hope this helps!
Increase 1000 in the ratio 2:5
Answer:
1400
Step-by-step explanation:
2/5×1000=400
1000+400=1400
Step-by-step explanation:
Let the new quantity be x.
x:1000=2:5
x/1000=2/5
(multiply both side by 1000)
[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]
[tex]x = 400[/tex]
A right triangle is formed using point C and H as two of the vertices. Which point best represents the coordinates for point X, the third vertex of a triangle?
Answer:
um probably something like CX and HX
Step-by-step explanation:
no graph
okay, i’ve been given a new question KCNDJXNZNS
Answer: 40
Step-by-step explanation:
The angles in a triangle are equal to 180
We can use this equation to find x
180 = 20 + 3x + x
Then we solve
160 = 4x
x = 40
Answer:
180 = 20 + 3x + x
X = 40
Step-by-step explanation:
180 = 20 + 3x + x
Combine like terms
180 = 20 + 4x
Subtract 20 on both sides
160 = 4x
Divide both sides by 4
40 = x
а Ava and her children went into a movie theater and she bought $48 worth of drinks and candies. Each drink costs $4 and each candy costs $3. She bought 2 more candies than drinks. Graphically solve a system of equations in order to determine the number of drinks, x, and the number of candies, y, that Ava bought.
Answer:
x = 6
y = 8
Explanation and graph is given in picture
I hope it helps.
