_____the number or variable that is raised to a power in an exponential expression
Answer:
Base
Step-by-step explanation:
To give an example, in the expression [tex]10^6[/tex], 10 is our base and 6 is our exponent or power.
Latoya earns $25.05 for 3 hours of tutoring. How much money does latoya earn each hour?
Answer:
$8.35 per hour
Step-by-step explanation:
Take the dollars and divide by the hours to determine the dollars per hour
25.05/3
$8.35 per hour
6 times a number is 16 less than the square of that number. Find the positive
solution
Answer:
8
Step-by-step explanation:
Data shows the probability of dying feom cardiovascular disease is 0.45 and that the probability from dying ofncancer is .22. What is the probability of dying from some other cause?
Answer:
0.33
Step-by-step explanation:
because 0.45 plus 0.22 is 0.67 which means the other probability is 0.33.
The probability of dying from some other cause will be 0.33. Probability always lies between 0 and 1.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,
The given data in the problem is;
P(A) is the probability of dying from cardiovascular disease = 0.45
P(B) is the probability of dying from cancer = 22
P is the probability of dying from some other cause =?
The probability of dying from some other cause will be found as;
[tex]\rm P =1- P(A)+P(B) \\\\ \rm P =1- 0.45+0.22 \\\\ \rm P =0.33[/tex]
Hence the probability of dying from some other cause will be 0.33.
To learn more about the probability refer to the link;
https://brainly.com/question/11234923
What is the base area of a cylinder with a volume of 150 cubic cm and a height of 10 cm?
Final answer:
The base area of a cylinder with a volume of 150 cubic cm and a height of 10 cm is 15 square centimeters, obtained by dividing the volume by the height.
Explanation:
To find the base area of a cylinder with a known volume and height, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius of the base, and h is the height. Since the volume (V) is 150 cubic cm and the height (h) is 10 cm, we can rearrange the formula to solve for the base area (A): A = V/h.
By substituting the given values into our rearranged formula, we get: A = 150 cm³ / 10 cm = 15 cm². Thus, the base area of the cylinder is 15 square centimeters.
The data shown has a least-squares regression line of y=3.2x−6.4.
Use the drop-down menus to complete the statements and identify the residual of the data point (8,19.2).
Point (8,19.2) is ___ the least-squares regression line.
A. on
B. below
C. above
The value of the least-squares regression line at x=8 is ___.
A. -6.4
B. 0
C. 12
D. 19.2
E. 25.6
So, the residual of the data point (8,19.2) is ____.
A. -19.2
B. -12
C. 0
D. 12
E. 19.2
Answer:
1) B. on, 2) D. 19.2, 3) C. 0
Step-by-step explanation:
1) The value of y according to the regression line is:
[tex]y = 3.2\cdot (8) - 6.4[/tex]
[tex]y = 19.2[/tex]
Hence, the point (8,19.2) is on the least-squares regression line.
2) The value of y according to the regression line is 19.2.
3) The residual is the difference between the value from the regression line and the real value. In this case, the residual value is 0.
Final answer:
The data point (8,19.2) lies on the least-squares regression line. The value of the least-squares regression line at x=8 is 19.2. Hence, the residual of the data point (8,19.2) is 0.
Explanation:
The data point (8,19.2) is on the least-squares regression line since when we substitute x=8 into the equation y=3.2x−6.4, we get y=3.2(8)−6.4 which simplifies to y=25.6−6.4, yielding y=19.2, which is exactly the y-value of the given data point.
The value of the least-squares regression line at x=8 is therefore 19.2 which corresponds to option D.
Since the observed y-value is exactly predicted by the regression line at this x-value, the residual for the data point (8,19.2) is 0, which represents the difference between the observed y-value and the value predicted by the regression formula. Therefore, option C is correct for the residual.
Which is a factor of x2 + 8x – 48? (x – 6) (x + 4) (x – 16) (x + 12)
Answer:
(x+12)
Step-by-step explanation:
The middle number is 8 and the last number is -48.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 8
Multiply together to get -48
Can you think of the two numbers?
Try -4 and 12:
-4+12 = 8
-4*12 = -48
Fill in the blanks in
(x+_)(x+_)
with -4 and 12 to get...
(x-4)(x+12)
But, since (x-4) isn't an option, the answer would be (x+12)
Answer:
(x + 12)
Step-by-step explanation: It's D on edg
A circle has a sector with area 1/2 pi and central angle of 1/9 pi radians. What is the area of the circle
Answer:
[tex]9\pi[/tex] sq. units.
Step-by-step explanation:
It is given that a circle has a sector with area [tex]\frac{1}{2}\pi[/tex] and central angle of [tex]\frac{1}{9}\pi[/tex] radians.
We know that, the area of sector is
[tex]A=\dfrac{1}{2}r^2\theta[/tex]
where, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute the values of A and [tex]\theta[/tex].
[tex]\dfrac{1}{2}\pi=\dfrac{1}{2}r^2(\dfrac{1}{9}\pi)[/tex]
[tex]1=r^2(\dfrac{1}{9})[/tex]
[tex]9=r^2[/tex]
[tex]3=r[/tex]
The radius of the circle is 3 units.
So, the area of circle is
[tex]A=\pi r^2[/tex]
[tex]A=\pi (3)^2[/tex]
[tex]A=9\pi[/tex]
Therefore, the area of circle is [tex]9\pi[/tex] sq. units.
If hannah uses 300 ounces for 3 people how much will she use for 9 people
Answer:
she will use 900 ounces for 9 people
Step-by-step explanation:
Answer:
900 ounces
Step-by-step explanation:
you would take 300 and divide it by 3 because thats how many people were listed, then you would get 100 per person as a unit rate. Multiply 100 by 9 and you have your answer!
What is the volume (V) and surface area (SA) of a rectangular prism that is 11 ft long, 8 ft wide, and 4 ft tall?Immersive Reader
Janet has $120. If she saves $20 per week, in how many days will she have $500? *
Answer:
19 weeks
Step-by-step explanation:
Make an equation
120+20x=500
Subtract 120 on both sides
20x=380
Divide by 20 on both sides
x=19
Hope this helps!
Find the area of the shaded sector below. Use 3.14 for
Answer:
816.4
Step-by-step explanation:
i multiplied 65,4 and 3.14 to get 816.4
A school bus has 23
seats that will fit 3
students each and
one seat that will fit 2
students. How many
students will fit on
the bus?
Answer:
101
Step-by-step explanation:
Answer:
The correct answer is 71.
a) Work out the value of (square root of 5)^2 x (square root of 3)^2?
Answer:
15
Step-by-step explanation:
Square root of 5=√5
Square of the square root=(√5)^2
=5
Square root of 3=√3
Square of the square root=(√3)^2
=3
So (square root of 5)^2×(square root of 3)^2
5×3
15
Therefore the final answer is 15
If you could only plot 5 points to graph y=sinx, which points would you choose? How would you connect these points? Please explain
If you could only plot 5 points to graph y = cosx, which points would you choose? How would you connect these points? Please explain this too!
Answer:
For both graph I would choose the following points: 0°, 90°, 180°, 270° and 360°. I would connect the points (in both cases) with an smooth arc.
Step-by-step explanation:
x sin(x) cos(x)
0° 0 1
90° 1 0
180° 0 -1
270° -1 0
360° 0 1
Point B has coordinates (4,2). The x-coordinate of point A is negative 1. The distance between point A and point B is 13 units. What are the possible coordinates of point A?
The possible coordinates of point A are
Answer:
5.8 and 7.4
Step-by-step explanation:
PLEASE HELP ME I DONT UNDERSTAND
Answer:
Picture #1: x=16 ; y=10
Picture #2: x=21 ; y=15
Picture #3: x=18
Step-by-step explanation:
Picture #1:
(8x-14)* and (5x+34)* are Alternate Exterior Angle so they are congruent. And (8x-14)* and (5y+16)* are supplementary so they equal 180*.
Picture #2:
(6x+7)* and (3x-16)* are supplementary so they equal 180*. And (6x+7)* and (11y-32)* are Vertical Angles so they are congruent.
Picture #3:
(7x-6)* and (4x-7)* are supplementary so they equal 180*.
Factor the trinomial 3x2 + 16x + 21
Answer:
(3x+7)(x+3)
Step-by-step explanation:
Factors 3x^2+16x+21
3x^2+16x+21
=(3x+7)(x+3)
Answer:
[tex]3 {x}^{2} + 16x + 21 \\ 3 {x}^{2} + 9x + 7x + 21 \\ 3x(x + 3) + 7(x + 3) \\ = (3x + 7)(x + 3)[/tex]
What two numbers added equal 40 but when subtracted equal 10?
PLZ!!!!!!!!!!!!!!!!!!!! HELPPPPPPPPPPPPPPPPPPPP
Answer:
25 and 15
You can easily make a system of equations:
x + y = 40
x - y = 10
Solving for x on equation 2 gets x = 10 + y.
Plugging in this into the first equation, you get 10 + y + y = 40
Thus, 10 + 2y = 40
y = 15.
Plugging this back into either equation gets x = 25.
Started at 15 degrees and dropped 4 degrees and dropped 4 degrees each minute
Answer:
15-4 11 -4x
Step-by-step explanation:
Solve the systems of equations by substitution
3/8x + 1/3y = 17/24
X + 7y = 8
Answer:
If your solving for y...
The answer would be: y = -9/8x + 17/8 I believe.
For the second one... it would be : y = -1/7x + 8/7
Step-by-step explanation:
What is the volume of a sphere with a radius of 1 foot? (Use 3.14 for π.) 37.68 ft 3 12.56 ft 3 4.19 ft 3 50.24 ft 3
Each bacterium in a petri dish splits into 2 bacteria after one day. The function b(d) = 600 • 24 models
the number of bacteria, b, in the petri dish after d days.
Part A)
What is the initial number of bacteria in the petri dish?
Part B)
How many bacteria will be in the petri dish after 5 days?
Answer:
(a)Initial Number of Bacteria=600
(b)[tex]\text{Number of bacteria after 5 days}=19200[/tex]
Step-by-step explanation:
Given an initial number [tex]b_0[/tex] of bacteria in a petri dish, and each bacteria splits into 2 bacteria after one day.
The function [tex]b(d) = 600 \cdot 2^d[/tex] models the number of bacteria, b after d days.
Part A
Given [tex]b(d) = 600 \cdot 2^d[/tex]
When d=0,
The initial number of bacteria in the petri dish,
[tex]b_0=b(0) = 600 \cdot 2^0=600[/tex]
Part B
After 5 days, when d=5
[tex]b(5) = 600 \cdot 2^5=600 \cdot 32\\\text{Number of bacteria after 5 days}=19200[/tex]
Rotation maps point K24,-15 to K-15,-24 whats the rotation?
Answer:
90 degree CW
Step-by-step explanation:
Since the point is at (24, -15) and was rotated to (-15, -24):
x, y --> y, -x
This is a 90 degree rotation clockwise
which expression is equivalent to -2/5(x + 0.8) + 1/50
Answer:
-0.4x - 0.30 or [tex]-\frac{2x}{5} - \frac{3}{10}[/tex]
Step-by-step explanation:
Change all the fractions to decimals.
-2/5 = -0.4 Distribute that over x and 0.8 1/50 = 0.02
you get -0.4x -0.32 + 0.02
Change all the decimals to fractions.
0.8 is 8/10 so -2/5 times 8/10 is -16/50
-2x/5 - 16/50 + 1/50 add or subtract the fractions to get -15/50 Then reduce (÷5)
-2x/5 - 3/10
Which of the following fractions is the largest: 13/16, 3/4, 7/10, or 5/8?
From the given set of fractions, 13/16 is the largest fraction.
The given set of fractions are 13/16, 3/4, 7/10, and 5/8.
We need to check which of the given fractions is the largest.
How to order the fractions?To order fractions from least to greatest, start by finding the lowest common denominator for all of the fractions. Next, convert each of the fractions by dividing the lowest common denominator by the denominator and then multiplying the top and bottom of the fraction by your answer.
Now, the LCM of denominators of the fractions is as follows:
16, 4, 10 an 8 LCM= 2×2×2×2×5=80
Make the denominators equal to LCM.
That is, 65/80, 60/80, 56/80, and 50/80
Here, 65/80 is the largest, since the numerator is the greatest number.
Therefore, from the given set of fractions 13/16 is the largest fraction.
To learn more about the order of fractions visit:
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HELP ASAP MARKJNG AS BRAINLIST
Answer:
114°
Step-by-step explanation:
By property of intersecting chords inside a circle.
[tex] \because \angle \: 1 = \frac{1}{2} (x + y) \\ \\ \therefore \: \angle \: 1 = \frac{1}{2} (96 + 132) \\ \\ \therefore \: \angle \: 1 = \frac{1}{2} \times 228\\ \\ \huge \red { \boxed{\therefore \: \angle \: 1 = 114 \degree}}[/tex]
I need help with this please I’ll mark as brilliant
12(x - 4) + 4(x + 7)
Answer:
16x -20
Step-by-step explanation:
12(x - 4) + 4(x + 7)
12x - 48 + 4x +28
16x - 20
Answer:
16x - 20
Step-by-step explanation:
Given
12(x - 4) + 4(x + 7) ← distribute both parenthesis
= 12x - 48 + 4x + 28 ← collect like terms
= 16x - 20
Simplify -3(2x-7) + 5(4x-8).
Answer:
14x-19
Step-by-step explanation: Now can someone answer my question look at my page