Answer:
A
Step-by-step explanation:
Equate f(x) to 8 , that is
[tex]2^{x}[/tex] = 8 = 2³
Since bases on both sides are equal, both 2, then equate exponents
x = 3
The value of the x when the exponential function shown in the graph f(x) = 2ˣ is 8 is when x = 3, which is option A.
Here, given the graph of the function,
f(x) = 2ˣ
We have to find the value of x when f(x) = 8.
In order to find the value of x, when f(x) = 8, we have to write as,
f(x) = 8
2ˣ = 8
Now write 8 as an exponent with base 2.
2ˣ = 2³
Hence the value of x = 3
Learn more about Exponential Functions here :
https://brainly.com/question/9919887
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What is the area of the label on a soup can that is 8 inches high and has a diameter of 4 inches? Round to the nearest hundredth. Assume the label wraps around the entire height of the can and does not overlap. SHOW WORK..
Answer:
Area of label = 100 inch² (Approx.)
Step-by-step explanation:
Given:
Height of label = 8 inches
Diameter of label = 4 inches
Find:
Area of label
Computation:
Design of label = Rectangle
So,
Width of label = 2πr
Width of label = 2(3.14)(4/2)
Width of label = 2(3.14)(2)
Width of label = 12.56 inches
Area of label = Height of label x Width of label
Area of label = 12.56 x 8
Area of label = 100.48
Area of label = 100 inch² (Approx.)
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 40.0°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{WX}{VW}[/tex] = [tex]\frac{57}{68}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{57}{68}[/tex] ) ≈ 40.0° ( to the nearest tenth )
What is the function rule for the line?
Answer:
y =2/3x -2
Step-by-step explanation:
The y intercept is -2
The slope is
m = (y2-y1)/ (x2-x1)
Using the points (0,-2) and (3,0)
m = ( 0 - -2)/(3 -0)
= (0+2)/(3-0)
= 2/3
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y =2/3x -2
Matt covers a distance of 300 miles in 10 hours. Given that he covers an equal distance every hour, find the distance covered by him in 4 hours.
what is the value of x that makes PQ || RS
a. 42
b. 55
c. 51
d. 100
pls give a step to step explanation if you can
Answer:
x = 55
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
3x-65 = 2x-10
Subtract 2x from each side
3x-2x -65 = 2x-2x-10
x-65 = -10
Add 65 to each side
x-65+65 = -10+65
x = 55
Volume of this hemisphere give answer to one decimal place
Answer:
[tex] \implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3}\pi {r}^{3} \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3} \times \dfrac{22}{7} \times 8 \times 8 \times 8 \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3} \times \dfrac{22}{7} \times 512 \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{22528}{21} \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = 1072.8\: {cm}^{3} \\ [/tex]
Steve is traveling from Atlanta to Houston, a distance of 704 miles. If he divides the trip into two parts,
which the ratio of the parts is 2:5, how many miles does he drive in each section?
Answer:
201.14 , 502.85
Step-by-step explanation:
704/7 = 100.57
2*100.57 = 201.14
5*100.57 = 502.85
Identify the form of each equation.
2x + 8y = 5 is in (select)
V
y-9=5(x - 6) is in (select)
V
y = 7x + 6 is in (select)
V
9x - 2y = -6 is in (select)
Answer:
Step-by-step explanation:
The first one is in standard form;
the second one is in point-slope form;
the third one is in slope-intercept form;
the last one is in standard form
These are all lines, so as you can see, there are 3 different formats for writing the equation of a line.
Which table of ordered pairs represents a proportional relationship?
Answer:
fijate bien
Step-by-step explanation:
Steve's math homework took him 17 minutes. His science homework took him 22 minutes. How much time did it take Steve to finish his math and science homework?
Answer:
39 minutes for both
Step-by-step explanation:
22+17=39
Answer:
It took Steve 39 minutes to finish both his math and science.
Step-by-step explanation:
17+22=39
Enter an equation in point-slope form for the line.
Slope is 4 and (-2,-1) is on the line.
The equation of the line in point slope form is:
Answer:
[tex]y+1=4(x+2)[/tex]
Step-by-step explanation:
Hi there!
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the slope and the point
[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]
I hope this helps!
hey are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound. How 0 35. much did the oranges appreciate (percent of increase)?
SHOW YOUR WORK.
Answer:
Solution given:
in 1990
cost of orange[C.P]=$0.56
in 2003
cost of orange[S.P]=$0.86
now
increased price[profit]=S.P-C.P=$0.86-$0.56=$0.3
Now
increased percent [profit%]=?
we have
profit%=profit/c.p*100%
=0.3/0.56*100=53.57℅
Therefore
the oranges appreciated by 53.57%
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Given:-are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per poundFind:-percentage of increasing Solution:-we have, 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound.
so,
C.P of 1990=0.56$c.p of 2003=0.86$[tex]\sf{increase_{(profit)}=0.86-0.56=0.3 }[/tex]
we know that,
[tex]\bold{ profit\%=\dfrac{profit}{C.P}×100 }[/tex]
According to the question,
[tex]\sf{percentage_{(profit)}=\dfrac{0.3}{0.56}×100 }[/tex] [tex]\sf{percentage_{(profit)}=\dfrac{5357}{100} }[/tex] [tex]\sf{percentage_{(profit)}=53.57\% }[/tex]What are the x-intercepts of the parabola?
A: (4.5, 0) and (5, 0)
B: (0, 4.5) and (0, 5)
C: (0, 5) and (0, 4)
D: (5, 0) and (4, 0)
Answer:
D: (5, 0) and (4, 0)
Step-by-step explanation:
The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.
Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).
A vertical light pole on a hillside casts a
shadow of 55 m long down the hill. If the
angle of elevation of the sun is 48.3° and the
angle of inclination of the hill is 21.4. Find
the height of the pole.
Answer: [tex]37.4\ m[/tex]
Step-by-step explanation:
Given length of shadow [tex]l=55\ m[/tex]
Hill inclination [tex]21.4^{\circ}[/tex]
Angle of elevation for sun [tex]48.3^{\circ}[/tex]
Suppose the length of the pole is [tex]h[/tex]
from the figure, and using sine rule. It can written
[tex]\Rightarrow \dfrac{55}{\sin 41.7^{\circ}}=\dfrac{h}{\sin 26.9^{\circ}}\\\\\Rightarrow h=55\cdot\dfrac{\sin 26.9^{\circ}}{\sin 41.7^{\circ}}\\\\\Rightarrow h=55\cdot 0.68011\\\Rightarrow h=37.40\ m[/tex]
can yaweeeeeeeee hlp
Answer:
( 25 x 100 )
option 1 is the answer
Step-by-step explanation:
Remaining options are not correct since they don't have 100 as a factor.
1/2a=11
a=? P.S I am not in high school I am in 4TH GRADE!!!
Answer:
a: 1/22
Step-by-step explanation:
cross multiply 1/2a=11
which will give 22a=1
divide both sides by 22
to give a=1/22
Line ab and cd (if presented in the picture) are straight lines. Find x (the pictures are not scaled)
Answer:
[tex]x + 2x + 34 + 20 = 180 [/tex]
Answer:
x=42
Step-by-step explanation:
Statement Reason
1. m∠AOB = 180° — Def. of straight ∠
2. m∠AOE + m∠EOF + m∠FOB = m∠
AOB —- Parts − whole Postulate
3. x + 2x+34° + 20° = 180° —- Substitution
4. x = 42°. —- Algebra
This is statement and reason! (no problem rsm people)
−5x−9y=3 plus 5x−9y=-2
Answer:
-18y=1
Step-by-step explanation:
Sorry if this is wrong, I was just guessing...
Can someone help me with this task please? !!
Answer:
1. are you serious to ask ? it is written right there in the question itself. x=0, f(0)=y=6
2. the slope is 3
3. -4/3
4. $1.50 per book
5. -2
Step-by-step explanation:
1. the table itself says it for x=0. f(x) for x=0 is 6.
2. as explained do often already. the slope is the ratio of y/x showing how many units y changes, when x changes a unit or another surviving number of units.
the table shows when x increases by 1 unit, y increases by 3 units. so, the slow is 3/1 or simply 3.
3. again slope (see 2.).
going from M to N x increases by 4 units (from 1 to 5), and y decreases by 3 units (from 3 to 0).
so, the slope is y changes / x change = 4/-3 or simply -4/3
4. rate of change is
(f(a) - f(b)) / (a - b)
e.g.
(275 - 50) / (250 - 100) = 225 / 150 = 1.5
5. again very simple. which of the provided answer options appears in the f(x) column ?
the result of a function is the functional or y value calculated by the formula when responding the generic variable (like x) by the specified input value.
Can someone help me with this math homework please!
Answer:
I'm pretty sure it is 0.75
Step-by-step explanation:
It is a3 so that means it is the 3rd answer in the sequence.
Answer:
The sequence is adding 0.25
Using the graph, determine the equation of the axis of symmetry.
Answer:
x = - 3
Step-by-step explanation:
The axis of symmetry passes through the vertex ( turning point ) of the graph and is a vertical line with equation
x = c ( c is the value of the x- coordinate of the vertex )
The vertex is (- 3, - 1 ) with x- coordinate - 3 , then
equation of axis of symmetry is x = - 3
how can you find the slope of a line and use it to
solve problems?
Answer:
Step-by-step explanation:
1) Mark two points on the line in the graph.
2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)
Run -----> difference in x-coordinates (x2 - x1)
3) Plugin the values in the below mentioned formula.
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
1.If slope = 0, then the line is parallel to x-axis.
2. If slope is undefined, then the line is parallel to y-axis.
3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.
Solutions when y = 0 are the same as
The graph below has__
solutions when y = 0
The axis of symmetry is x =___
EXPRESS in power notation
1. -1/8
2. -64/27
Express in rational number
1. (-3/2)
2. (1/5)
simplify (-4/3)³(2/5)-⁴ ÷ (7/4)
Answer:
Solution given:
1:
-1/8=[tex]\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}[/tex]
2. -64/27
=[tex]\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}[/tex]
Express in rational number
1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4
2. (1/5)=1/5*5/5=5/25
and
(-4/3)³(2/5)-⁴ ÷ (7/4)
(-4³/3³)(2-⁴/5-⁴)÷7/4
(-64/27)(5⁴/2⁴)÷7/4
(-64/27)(625/16)÷7/4
(-64*625/(27*16))*4/7
-2500/27*4/7
-10000/169
(-100/13)²
Determine wether the graph shows a positive correlation, negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in this situation.
Answer:
the answer is C.
Step-by-step explanation:
in this situation as time passes, the number of quarts picked decreases.
hope it helps!
The table shows the change in yards for 3 plays in a football game. Use the information below to complete statements below.
Answer:
Step-by-step explanation:
Kay do you just not know about "football" ?? what was confusing you about this question??
question 1 ) play C
question 2) play A
question 3) 13 less yards ,
Please help me with this question please and thank you ❤️
Answer:
x = -1
Step-by-step explanation:
3x - 1/9 (27) = 18
3x - 3
Divide both sides be 3
x = -1
Answer:
x = 7
Step-by-step explanation:
to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :
3x - 1/9(27) = 18
3x - 3 = 18
3x = 21
x= 7
The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 48 inches. Find the scale factor as a decimal, and the measure of each side of the triangle.
Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.
[tex]3x+4x+5x=48[/tex]
[tex]12x=48[/tex]
Divide both sides by 12.
[tex]x=\dfrac{48}{12}[/tex]
[tex]x=4[/tex]
Now, the measures of sides are:
[tex]3x=3(4)[/tex]
[tex]3x=12[/tex]
Similarly,
[tex]4x=4(4)[/tex]
[tex]4x=16[/tex]
And,
[tex]5x=5(4)[/tex]
[tex]5x=20[/tex]
Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.
Answer:
The scale factor is 4.
Sides are 12 inches, 16 inches, 20 inches.
Step-by-step explanation:
The ratio is 3 : 4 : 5 and the perimeter is 48 inches.
Let the scale is p.
The length of sides is 3 p , 4 p and 5 p.
So, the perimeter is
3 p + 4 p + 5 p = 48
12 p = 48
p = 4
So, the scale factor is 4.
Sides are 12 inches, 16 inches, 20 inches.
What is the area of this figure
Help please
Step-by-step explanation:
A you see here, we have 3 different shapes. a Triangle, a big and small rectangle. Lets start with the triangle.
between the 8 in's, theres a gap. 5+4=9,
9+8+8=25. we have the length of the triangle.
9*25 divided by 2= 112.5. thats are area of the triangle.
for the bigger rectangle, 20*9=180, the area of the rectangle, and the smaller rectangle at the bottom is 16.
Now we add:
112.5+180+16=308.5
hope this helps!
What is the value of y? 72
Answer:
D. 54
Step-by-step explanation:
54 + 54 = 108, and 72 + 180 equals 180 degrees.
This is due to the fact all angles in a triangle add up to 180 degrees.