Answers
Answer:
B. 1/25
Step-by-step explanation:
This question asks us to find (-2), or f(x) when x is equal to -2.
We know that f(x)=5^x. We also know that we are trying to find f(-2). Therefore, we must substitute -2 in for x.
f(x)=5^x
x= -2
f(-2)= 5^-2
Negative exponents follow the rule:
x^-b= 1/x^b
Rewrite the exponent according to this rule.
5^-2=1/5^2
f(-2)= 1/5^2
Evaluate the exponent in the denominator.
5^2=5*5=25
f(-2)=1/25
f(-2) is equal to 1/25, therefore B is the correct answer.
Answer:
Ok,you just need to replace the x for -2
F(x)=5^x
[tex]f(-2)=5^{-2}[/tex]
[tex]f(-2)=\frac{1}{25}[/tex]
So, the correct answer is B
I hope this help you :)
Related Questions
Which is the correct formula to calculate the volume of a sphere?
a.
Four-thirds pi r squared
c.
One-third pi r cubed
b.
Four-thirds pi r cubed
d.
4 pi r cubed
Please select the best answer from the choices provided
A
B
C
D
Not a
Answers
Answer:
B
Step-by-step explanation:
Volume of Sphere = 4/3 x 3.14 (pi) x r^2
please help answer this
Answers
Step-by-step explanation:
Girls - 2 over 5 times 250 over 1 = 100
Boys - 3 over 10 times 250 over 1 = 75
Total number of people - Girls + Boys
250 - 100 + 75
250 - 175 = 75
Therefore,
Adult = 75
Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B.
Answers
Answer:
[tex]m=-\frac{1}{6} \approx -0.1667[/tex]
[tex]M=(1,\frac{17}{2} )=(1,8.5)[/tex]
[tex]d=\sqrt{37} \approx 6.083[/tex]
Step-by-step explanation:
(i) For two different points on a line, the slope m is defined as the difference on the y-axis divided by the difference on the x-axis:
[tex]m=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}[/tex]
Where:
[tex](x_1,y_1)=(-2,9)\\\\(x_2 , y_2)=(4,8)[/tex]
So:
[tex]m=\frac{8-9}{4-(-2)} =\frac{-1}{6} \approx -0.1667[/tex]
(ii)
To find the coordinates of the midpoint, you can use the following formula:
[tex]M=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]
Therefore:
[tex]M=(\frac{-2+4}{2} , \frac{9+8}{2} )=(\frac{2}{2} , \frac{17}{2} ) =(1,8.5 )[/tex]
(iii) The distance between two points is given by the following formula:
[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }[/tex]
Hence:
[tex]d=\sqrt{(4-(-2))^{2}+(8-9)^{2} } =\sqrt{(6)^{2}+(-1)^{2} } =\sqrt{36+1} =\sqrt{37} \\\\d\approx 6.083[/tex]
i dont get itttttttttttttttttttttttt
Answers
Answer:
the last option, all nums greater than -3
Step-by-step explanation:
Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the length of its radius
Answers
Answer:
Half; twice
Step-by-step explanation:
In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".
Thus,
2r = d
r = d/2
For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.
Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius
Suppose that g(x) = x2 - 5. Which statement best compares the graph of g(x)
with the graph of f(x) = x??
A. The graph of g(x) is shifted 5 units right.
Ο Ο Ο
B. The graph of g(x) is shifted 5 units up.
C. The graph of g(x) is shifted 5 units down.
o
D. The graph of g(x) is shifted 5 units left.
Answers
Answer:
Step-by-step explanation:
The vertex, or work, form of a parabola is
[tex]y=(x-h)^2+k[/tex], where h and k are the coordinates of the vertex. If the parabola has the equation
[tex]y=(x-2)^2+5[/tex], the vertex is sitting at (2, 5)---> (h, k). h = 2, k = 5. If we have nothing in a set of parenthesis with the x, there is no side to side movement. Our parabola does not have any parenthesis around the x, so no side to side movement. But it does have a -5. That means that the parabola has moved DOWN 5 units from its starting position of (0, 0). -k means the parabola moves down; +k means the parabola moves up.
So our parabola has shifted 5 units down, choice C.
Select all angle measures for which sin(∅) = - ( (√2) /2)
a) 3π/4
b) 5π/4
c) 7π/4
d) 9π/4
e) 13π/4
I do not understand the steps to take, thank you for any help
Answers
Answer:
b) 5π/4
c) 7π/4
e) 13π/4
Step-by-step explanation:
sin θ = -½√2
There's really no algebra to be done here. There are two ways you can solve. One, you can use a calculator. Two, you can memorize your unit circle.
Either way, it helps to draw the unit circle. sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2. This happens at two places: θ = 5π/4 and 7π/4.
Next, we need to check the options that are greater than 2π.
9π/4 is the same as π/4.
13π/4 is the same as 5π/4.
So the three correct answers are 5π/4, 7π/4, and 13π/4.
Answer:
B
C
D
Step-by-step explanation:
45/30 in its simplest form
Answers
Answer:
3/2
Step-by-step explanation:
45/30 can be simplified.
The highest common factor of 45 and 30 is 15.
45÷15/30÷15
Divide.
3/2
The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2. Obi spent £20 that day. Obi now had £8 less than Rudy. How much did they have initially altogether?
Answers
Answer:
Initially, they have £28 altogether
Step-by-step explanation:
Obi: Rudy=5:2
this means that Obi had 5x and Rudy has 2x in their wallets.
Obi spent £20 and 5x-20 left. Obi now had £8 less than Rudy
thus,
2x-(5x-20) =8
2x-5x+20=8
-3x=-12
x=4
obi =5x
=5*4
=20
Rudy =2x
=2*4
=8
This means that initially Obi had £20 and Rudy had £8
Total if Rudy and obi
=£8+£20
=£28
Using the graphing method, which of the following choices is the
solution of system: 3y = x-9
y = -x + 1
Answers
Answer:
y=x_1 is the solution of system
Pls answer i will mark as branliest
Answers
Hope it helped!!!!
Answer:
Part A:
x = 80 degrees
Part B:
A => Corresponding Angles (They correspond to each other)
Hope This Helps!
Don't hesitate asking anything regarding this!
A rectangle has a length of 12 mm and a width of 15 mm. A new rectangle was created by multiplying all of the dimensions by a scale factor of 1 3 . A rectangle with length 12 millimeters and width 15 millimeters. A smaller rectangle with length 4 millimeters and width 5 millimeters. Which statement best describes the change in the perimeter of the new rectangle? The new perimeter will be One-half times the perimeter of the original rectangle. The new perimeter will be One-third times the perimeter of the original rectangle. The new perimeter will be 2 times the perimeter of the original rectangle. The new perimeter will be 3 times the perimeter of the original rectangle.
Answers
Answer:
4 mm by 5 mm1/3 the perimeter of the originalStep-by-step explanation:
When each of the dimensions is multiplied by 1/3, the result is a rectangle that is ...
(12 mm)·(1/3) by (15 mm)·(1/3) = 4 mm by 5 mm
The result is ...
a smaller rectangle with length 4 millimeters and width 5 millimeters
__
The perimeter of the smaller rectangle has the same ratio to the original that the side lengths do.
The new perimeter will be 1/3 times the perimeter of the original rectangle.
The change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.
What is the perimeter of a rectangle?For a known length and width of a rectangle, the expression for calculating the perimeter of a rectangle is 2(L × w).
From the given information:
A rectangle's length = 12 mm, and width = 15 mm
Using a Scale factor of 1 : 3A new smaller rectangle's length = 4 mm, and width = 5 mmTherefore, we can deduce that the change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.
This is because by using the scale factor:
[tex]\mathbf{\dfrac{1}{3}(12) \times \dfrac{1}{3}(15)}[/tex]
We can get the value for the length and width of the new smaller rectangle as 4 mm and 5 mm respectively.
Learn more about the perimeter of a rectangle here:
https://brainly.com/question/19819849
#SPJ2
What is the mean of this set: {2, 6, 7, 9, 9, 9)?
6
7
Ο Ο Ο Ο
8
9
Answers
Answer:
6.8 nearly 7
Step-by-step explanation:
beacuse mean is sum of all terms in a data/number of terms in the data
Answer: 7
Step-by-step explanation:
To find the mean of a set, you take the sum of the set and divide it by the number of numbers in the set.
[tex]\frac{2+6+7+9+9+9}{6} =\frac{42}{6} =7[/tex]
Which is the correct rearrangement of the following
formula, making t the subject?
w = vt-6
t = (w - 6)? t = (w + 6)?
t = w2 - 6
t = w2 +6
Answers
Answer:
[tex]t = \frac{w + 6}{v} [/tex]
[tex]vt - 6 = w \\ vt = w + 6 \\ \frac{vt}{v} = \frac{w + 6}{v} \\ t = \frac{w + 6}{v} [/tex]
Answer:
t as a subject
Answer:
t = w+6 / v
PLEASE HELP!!!!! I NEED ANSWERSSSSS
Answers
Answer:
I went into snippet and graphed the equations in the JPG.
Step-by-step explanation:
To start off, we'll begin with the first equation: y=-3x+8
When graphing an equation you want to find the y intercept first (where the line meets the y axis). In this equation the y intercept is the positive 8. You will count 8 up the y axis to find your first point in this equation, (0,8)
Next you will use the slope given to finish graphing the equation. The slope in this equation is -3x or -3/1x. Starting from point (0,8) you will travel down three and to the right once. This will give you your next point of the line (1,5) You will continue this process, traveling down three and to the right one starting from the point you left off on. Your final points of the line for the first equation are: (0,8) (1,5) (2,2) (3,-1) (4,-4) and (5,-7). Graph these 6 points and draw a line connecting them together.
Now for the next equation: y=4/5x-1
Like the last equation you will need the Y intercept first and this equation's is -1, so you will travel down one along the y axis, making the first point for this equation (0,-1)
Following the same steps as the last equation, you will now graph the slope which is 4/5x, meaning you will travel up 4 and to the right 5. The final points you should have for this equation on the graph are: (0,-1) (5,3) and (-5,-5). Draw the line connecting these points together and there you have it, the second equation on a graph.
P.S- Sorry the graphs are sloppy it's kind of hard to graph using a computer mouse
Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would my speed in still water have been?
Answers
Answer:
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
Step-by-step explanation:
Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:
[tex]c + v = \frac{d}{h}[/tex]
Where:
[tex]c[/tex] - Current speed, measured in miles per hour.
[tex]v[/tex] - Speed of the person regarding current, measured in miles per hour.
[tex]d[/tex] - Distance travelled downstream, measured in miles.
[tex]h[/tex] - Time spent on travelling, measured in hours.
Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:
[tex]v = \frac{d}{h} - c[/tex]
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
Which is the scale factor of the dilation?
Answers
Answer:
needs more information!
Step-by-step explanation:
need more information
Solve log x = 4. x = 4 x = 40 x = 1,000 x = 10,000
Answers
Answer:
x = 10000
Step-by-step explanation:
log x = 4
Raise each side to the base of 10
10^log x = 10 ^4
x = 10 ^4
x = 10000
Answer:
x = 10,000
Step-by-step explanation:
I got it right on the test.
10 people have pink cups. then 5 of those 10 people got red cups and threw the pink cups away. how many people have pink cups?⇒⇒
Answers
Answer:
5 people have pink cups
Step-by-step explanation:
10-5=5
:D
Answer:
5
Step-by-step explanation:
10-5=5
^--^
The following scatter plot demonstrates the relationship between to two variables x and y. The scatter plot shows what. correlation between the variables
Answers
Answer:
Positive correlation
Step-by-step explanation:
From the scatter plot shown in the graph above, we can observe that the data points that are clustered in a band run upwards from left of the graph to the right.
In simple terms, both variables move along the same direction, which means, as variable on one axis increases, the variable on the other axis increases as well.
This shows that the variables depicted on the scatter plot are positively correlated. It shows a positive correlation between the variables.
The relationship between the variables on the scatter plot it a positive correlation
From the graph, we have the following highlights
As the x-values increase, the y-values also increase The points appear to be on a straight lineWhen the x and the y values increase or decrease in the same direction, then the correlation of the graph is positive.
Hence, the relationship between the variables on the scatter plot it a positive correlation
Read more about correlation at:
brainly.com/question/7289927
Help, please!! I need the answer
Answers
Answer:
D
Step-by-step explanation:
What is the decimal multiplier to decrease by 4.8%?
Answers
Answer:
0.952
Step-by-step explanation:
You want to know the multiplier that causes a value to be decreased by 4.8%.
Percentage decreaseA value is said to be "decreased by 4.8%" when 4.8% of the original value is subtracted from the original value:
value - 4.8% × value . . . . . . the meaning of "decreased by 4.8%"
= value × (1 -4.8%) . . . . . . . . . factor out "value"
= value × (1 -0.048) . . . . . . . . . express the percentage as a decimal
= value × 0.952
The decimal multiplier that decreases a value by 4.8% is 0.952.
On average,ea rectangular garden ha an area of 144 meter square. During a redesign of the garden center, the dimension of the rectangular garden are altered but the area is unchanged .The width is doubed and length is decreased by 12m.
Answers
Answer:
New dimensions are; Width = 12m and Length = 12m
Step-by-step explanation:
Let length of rectangle be L
Let width be W
Area of rectangle has a formula;
Area = Length x Width = LW
We are given the area = 144 m²
So,
LW = 144 - - - (eq1)
Now, we are told that width is doubled and length is decreased by 12m but area remains the same.
Thus, we have;
Width as 2W and Length as L - 12.
Area = 2W(L - 12)
So,
2W(L - 12) = 144 - - - (eq2)
Equating eq 1 and 2,we have;
LW = 2W(L - 12)
W will cancel out to give;
L = 2(L - 12)
L = 2L - 24
2L - L = 24
L = 24m
From equation 1, LW = 144
Thus; W = 144/L = 144/24
W = 6m
So new design of rectangle now has a dimension of;
Width = 2W = 2 × 6 = 12m
Length = L - 12 = 24 - 12 = 12m
So, new dimensions are; Width = 12m and Length = 12m
If you can, please help answer this algebra question. Which terms are true about the given function?
Answers
Answer:
third option
Step-by-step explanation:
When x is less than 3, f(x) is negative so the first statement is false. The second statement is also false because the entire function is not positive. The third statement is true because when x is less than 3 f(x) is negative. The fourth statement is false because the entire function is not negative.
A line contains the point (-4,6) and has a slope of -2/3 write the equation of the line using point-slope form
Answers
Answer:
(y-6)=-2/3(x+4)
Step-by-step explanation:
An automobile jack raises the car 1/2 of an inch for each stroke of the lever. How
many strokes of the lever are needed to lift the car 5 inches?
(do not include the units)
Answers
1 inch is two 1/2’s so it takes two strokes to lift the car 1 inch.
2 strokes per inch x 5 inches = 10 total strokes.
The answer is 10
2. The average age of 25 students is 10years
and the average age of another class
30 Students is 15 years. Find the average age
of students of the two classes
Answers
Answer:
12.7 years to the nearest tenth.
Step-by-step explanation:
The total of the ages for the 25 students = 10*25 = 250.
For the 30 students it is 15*30 = 450.
The average for the 2 classes = (250 + 450) / (25 + 30)
= 700 / 55
= 12.7 years to the nearest tenth.
When you multiply a function by -1 what is the effect on its graph?
Answers
Answer:
Step-by-step explanation:
Depends on what you mean by multiplying by - 1. I assume you are not going to multiply the y or f(x) term by - 1.
If that is so, take an example. Suppose you have a graph that is y=x^2
That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.
When you multiply the right hand side by - 1, the graph you get will be y = - x^2.
That opens downward and the focus is on the - y axis.
That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.
Answer:
c
Step-by-step explanation:
ape x
Twice a certain number minus 7 is equal to 5. What is the number.
Answers
Answer:
6
Step-by-step explanation:
Let the number be x.
2x - 7 = 5
Add 7 to both sides.
2x = 5 + 7
2x = 12
Divide 2 into both sides.
x = 12/2
x = 6
The number is 6.
Answer:
6
Step-by-step explanation:
2x-7=5
2x=12
x=6
x=the varible that represents the number
What is the vertex of the quadratic function?
f(x) = (x – 8)(x – 4)
A. (4,8)
B. (-6,4)
C. (6,-4)
D. (-4,8)
Answers
Answer:
C(6,-4)
Step-by-step explanation:
-8+-4=-12
-12÷2=-6
I hope this helps
Answer:
C
Step-by-step explanation:
(6,-4)