The output value of (y) will be 1 .
In mathematics, an exponential function is a function of the form f(x) = ax. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0. Exponential functions, as the name suggests, involve exponents. But note that the base of the exponential function has a constant and the exponent has a variable, not vice versa.We have given an exponential function [tex]y=10.5^x[/tex] ......(1)
It is given that input value is 0 which means that replace the x with the input value in the given function.
Putting x = 0 in the equation (1) , we get
[tex]y=10.5^0[/tex]
Value of any number raised to power zero is always one .
[tex]y=1[/tex]
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how do I turn this into an equation to solve for x
To solve the for x the equation will be 3x° = 80° - x° and the value of x is 20°.
When two or more lines meet at a common point it is known as intersecting lines.
According to the question we have been given that there are two lines who are intersection at a point. And we have been given measure of two angles.
Let the first angle be given as ∠A and the second angle be given as ∠B.
The measure of angles given to us are :
∠A = 3x° and ∠B = (80 - x)°
We know that when two lines intersect then the vertically opposite angles are equal, that is
∠A = ∠B
Putting the required values we get
3x° = 80° - x°
4x° = 80°
x = 20°
Hence the value of x = 20°. Thus the measure of ∠A = 60° and ∠B = 60°
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Help asap! 45 pts!
What is the third reason in the angle proof?
∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.
Given that, AD bisects ∠BAC and ∠1≅∠3.
What is an angle bisector?An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.
Since AD bisects ∠BAC, ∠BAD=∠DAC.
That is ∠1≅∠2 (AD bisects ∠BAC into two equal angles)
Since ∠1≅∠2 and ∠1≅∠3 (given)
We get, ∠2≅∠3
∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.
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Find the values of a through e that make these two relations inverses of each other.
a=
b=
c=
d=
e=
DONE✔
2 of 11
-3.8
b
-1.4
-0.2
1.0
y
-3.1
3.2
с
4.4
5.0
x
-3.1
3.2
1.7
d
5.0
ע
a
-2.6
-1.4
-0.2
Answer:
hmm I'm pretty sure a is 3.2
Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.
Let s represent the weight of the boxes that Steven lifted.
Which expression represents the total number of pounds Nathan lifted?
A. s + 12
B. 15(s+12)
C. 12(s+13)
D. 13(s+12)
Answer:
we assume the two boys lifted the same amount of weight of boxes. Let s be the weight of the boxes Steven lifted. Hence,
Step-by-step explanation:
13 ( s+12) = 15 s
where s + 12 means that the box lifted by Nathan weighed 12 more than that of Steven.
we solve,
s = 78 pounds
such that Nathan's is 90 pounds.
Given AB where A (3,4) and B (-1,-2), translate left 2 and up 1, then rotate 90 degrees clockwise about the point C(1,3). Graph and list the coordinates of A"B"
pls help urgently!!!!
The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.
What are the coordinates of the image of a line segment?
In this problem we must find the coordinates of a new line segment, generated after making translations and rotation, two kinds of rigid transformations. First, determine the coordinates of the ends of the line segments by translation formula:
A'(x, y) = (3, 4) + (- 2, 1)
A'(x, y) = (1, 5)
B'(x, y) = (- 1, - 2) + (- 2, 1)
B'(x, y) = (- 3, 1)
Second, determine the coordinates of the ends of the line segment by using the rotation formula:
A''(x, y) = O(x, y) + ((A'x - Ox) · cos θ - (A'y - Oy) · sin θ, (A'x - Ox) · sin θ + (A'y - Oy) · cos θ)
A''(x, y) = (1, 3) + ((1 - 1) · cos (- 90°) - (5 - 3) · sin (- 90°), (1 - 1) · sin (- 90°) + (5 - 3) · cos (- 90))
A''(x, y) = (1, 3) + (2, 0)
A''(x, y) = (3, 3)
B''(x, y) = O(x, y) + ((B'x - Ox) · cos θ - (B'y - Oy) · sin θ, (B'x - Ox) · sin θ + (B'y - Oy) · cos θ)
B''(x, y) = (1, 3) + ((- 3 - 1) · cos (- 90°) - (1 - 3) · sin (- 90°), (- 3 - 1) · sin (- 90°) + (1 - 3) · cos (- 90))
B''(x, y) = (1, 3) + (- 2, 4)
B''(x, y) = (- 1, 7)
The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.
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What tells us how many steady beats go in a measure?
Answer:
You'll spot the time signature in the beginning of the music – it's two numbers stacked vertically. The top number tells you how many beats there are in one measure.
Step-by-step explanation:
hope it helps
if a cubic box (all sides the same length) has a volume of 1.0 l, what is the length of each side of the box in cm?
The length of each side of the box is 10 centimeter.
Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.
Given,
The volume of the cubic box = 1 liter
We know 1 liter= 1000 cubic centimeter
Volume of the cubic box= [tex]x^3}[/tex]
Then,
[tex]x^{3}=1000\\ x=\sqrt[3]{1000}[/tex]
x=10 centimeter
Hence, the length of each side of the box is 10 centimeter.
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What is the solution to the equation below? 4+square root of x =10
Is 13/16 a real number
In a survey of 232 professional athletes, it was found that 121 of them owned a convertible, 100 of them owned a giant screen tv, and 93 owned a sporting goods store. 18 owned a convertible and a store, 38 owned a tv and a store, and 54 owned a covertible and a tv. 5 owned all three items. how many athletes did not own any of the three items? how many owned a covertible and a tv, but not a store? how many athletes owned a convertible or a tv? how many athletes owned exactly one type of item in the survey? how many athletes owned at least one type of item in the survey? how many owned a tv or a store, but not a convertible?
In a survey of 232 professional athletes, 23 athletes do not own any of the three items. 49 owns a convertible and a tv, but not a store. 163 athletes owns a convertible or a tv. 109 athletes owns exactly one type of item in the survey. 209 athletes owns at least one type of item in the survey. 55 owns a tv or a store, but not a convertible.
Using Venn diagram, a diagram used to present the relationship between sets in a logical form, we analyze the given information.
athletes who do not own any of the three items = 232 - (121 + 100 + 93) +(54 + 38 + 18) - 5 = 23
athletes who owns a convertible and a tv, but not a store = 54 - 5 = 49
athletes who owns a convertible or a tv = (121 + 93) - (18 + 38 - 5) = 163
athletes who owns exactly one type of item in the survey = (121 - 54 - 18 + 5) + (100 - 38 - 54 + 5) + (93 - 18 - 38 + 5) = 109
athletes who owns at least one type of item in the survey = 121 + 100 + 93 - 54 - 38 - 18 + 5 = 209
athletes who owns a tv or a store, but not a convertible = (100 - 54 -38 + 5) + (93 - 18 - 38 + 5) = 55
See attached photo for reference.
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The initial population of a small town was 2.53 thousand. The population grows at a rate of 2.15% each year. After how many years will the population have doubled?
The number of years that the population has doubled will be 33 years.
What is an exponent?Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
A little town had a population of 2.53 thousand upon its founding. The population increases by 2.15% annually. Then the equation will be
y = 2.53(1.0215)ˣ
The number of years that the population has doubled will be
2 × 2.53 = 2.53(1.0215)ˣ
2 = (1.0215)ˣ
x ln1.0215 = ln2
x = 32.58 ≈ 33 years
The number of years that the population has doubled will be 33 years.
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The table shows a proportional relationship between x and y. x 1 2 3 y 3 6 9 The proportionality constant (y to x) is .
Answer:
x = 1, y = 3.
Step-by-step explanation:
1/3
2/6
and
3 to 9
are all the same.
what is 0.000 064 3 in standard form
Answer:
the answer is 6.43 × 10-5
G(x) = 2x + 9
G=15
Do you know how g=15
Answer:
(x)=6
Step-by-step explanation:
2x3=69+6=15so your answer should be 6 for (x) so you could get g=15determine whether the data described are discrete or continuous. relative humidity levels in operating rooms at local hospitals.
The data for relative humidity levels in operating rooms at local hospitals must be continuous.
For given question,
Continuous data is a type of numerical data that refers to the unspecified number of possible measurements between two points.
These numbers are not always clean and tidy like those in discrete data, as they're usually collected from precise measurements.
Variables in these data sets often carry decimal points.
When values in a data set are countable and can only take certain values, it is called discrete data.
In this question,
we need to find the type of data for relative humidity levels in operating rooms at local hospitals.
The data records of relative humidity levels carry decimal points.
Therefore, the data for relative humidity levels in operating rooms at local hospitals must be continuous.
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f(x) = (½)x + 3
Rate of change ?
End behavior?
The rate of change is 1/2.
the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
What is the rate of change?
Here we have a simple linear function:
y = (1/2)*x + 3
Remember that for a general linear function we have:
y = a*x + b
Where a is the rate of change and b is the y-intercept.
Then comparing our function with the general one, we can see that the rate of change is 1/2.
Now, because the rate of change is positive, we can see that when x tends to infinity the function also tends to infinity.
And when x tends to negative infinity also does f(x).
Then the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
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I need help with decimals asap 100 points
need help fast
Answer:
f. 8.0
g. 34.4
h. 83.8
i. 121
j. 35.2
Step-by-step explanation:
f. 4.1 + 3.9 = 8.0
g. 23.1 + 7.6 + 3.7 = 34.4
h. 53.2 + 3.1 + 27.5 = 83.8
i. 11.1 + 17.3 + 92.6 = 121
j. 24.1 + 7.9 + 3.1 = 35.2
Solve the equation for the red variable.
please help :(
Answer:
V = [tex]\frac{Bh}{3}[/tex]
Step-by-step explanation:
B = 3 × [tex]\frac{V}{h}[/tex] ( multiply both sides by h to clear the fraction )
Bh = 3V ( divide both sides by 3 )
[tex]\frac{Bh}{3}[/tex] = V
Which drivers race times were the most variable
Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05
Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12
Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds
Please help I need this by today
Driver C and Driver B are variable
There are 5 adults and 8 children in a group. what is the total cost for the group to ride the Ferris wheel??
If a group of 5 adults and 8 children, went for a ride of the Ferris wheel, and if the ticket cost $1 per person, irrespective of age, then total cost of tickets for the whole group will be $13.
As per the question statement, a group of 5 adults and 8 children, went for a ride of the Ferris wheel and the ticket costed $1 per person, irrespective of age.
We are required to calculate the total cost of tickets for the whole group.
Since the ticket cost was same for persons of all ages, therefore, total members of the group who wanted to ride the Ferris wheel was
(8 + 5) = 13.
As per the Unitary method, we have to calculate the value of 13 tickets from the data on the value of a single ticket provided to us in the question statement, i.e., we simply need to multiply the number of tickets with the cost of a single ticket to obtain our desired answer.
Therefore, cost of 13 tickets with each ticket costing $1 is [tex](13*1)=13[/tex] Dollars.
Unitary Method: In Mathematics, the unitary method is a technique of solving a problem, where first, we find the value of a single unit, and then find the required value by multiplying the value of the single unit.To learn about Unitary Method, click on the link below.
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Please I really need help on this!!!!
Answer:
502.7 cubic units
Step-by-step explanation:
When a rectangle is rotated about the side, a cylinder is formed.
Height of the cylinder will be the length of the rectangle of the side about rotated.
Height = h = VY = 10 units
Radius = r = VW = 4 units
[tex]\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}[/tex]
= 3.142 * 4 * 4 * 10
= 502.7 cubic units
Drag and drop the range of each data set into the boxes
The range of data set 1 is 20 and the range of data set 2 is 25.
From the given figure, the observations in data set 1 are 20, 25, 25, 25, 30, 30, 30, 35, 35 and 40.
The observations in data set 2 are 35, 40, 40, 45, 45, 45, 50, 50, 55 and 60.
What is the range?In statistics, the range of a set of data is the difference between the largest and smallest values, the result of subtracting the sample maximum and minimum. It is expressed in the same units as the data.
From data set 1:
Highest observation = 40 and lowest observation = 20.
So, range = 40-20=20
From data set 2:
Highest observation = 60 and lowest observation = 35.
So, range = 60-35=25
Therefore, the range of data set 1 is 20 and the range of data set 2 is 25.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
D. A monthly truck payment
Please help with problem 24
Answer: Domain: All real numbers
Range: y<-2, y>=0
Step-by-step explanation:
Domain: All real numbers ==> x can be less than zero and greater than or equal to zero.
Range: y<-2, y>=0
-x-2, x>0
-x-2+2, x>2
-x, x>2
x, x<-2
y, y<-2
-x, x<=0
x, x>=0
y, y>=0
Answer:
Step-by-step explanation:
Domain 5
range 2
Find the exact solution of x.
X²=16
X=4
No solution
X=_+4
X=-4
Answer:
(-4, 4)
Step-by-step explanation:
x can be either negative 4 or positive 4. A negative number squared is a negative number times a negative number, which will be a positive number.
a student receives test scores of 62, 83, and 91. the student's term project score is 88 and her homework score is 76. each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homework grade is 15% of the final grade. what is the student's mean score in the class?
Final answer:
The student's mean score in the class is calculated as 80.6
What is mean in statistics ?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means. The mean represents the average or middle value of all the data in a dataset as a single number. One of many measures of central tendency, it is also referred to as the arithmetic average.
The mean is significant because it reveals the location of the dataset's median value. Because it contains data from each observation in a dataset, the mean is also significant.
Explanation:
Let [tex]x1 = 62, x2 = 83, x3=91, x4=88, x5=76[/tex]
Test scores count for 20% of the grade, final grades for 25%, and homework grades for 15% of the grade. Therefore
[tex]w1 = w2= w3 = 0.20\\w4 = 0.25\\w5 = 0.15[/tex]
[tex]= > \frac{12.4 + 16.6 + 18.2 + 22+11.4}{1}[/tex]
Which becomes,
[tex]= 80.6[/tex]
According to weights proportionate to values in the final grade, the weighted mean yields the mean value. The observed values are multiplied by the weights, which are then divided by the total number of weights.
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A bus leaves for Faisalabad at 4:30 p.m. It takes 1 hour 25 minutes to reach there .At what time will it reach Faisalabad
Stella earned a grade of 62% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Stella get wrong?
Answer: 76 problems wrong
Step-by-step explanation:
62%=
62/100=0.62
0.62*200=124 problems right
200-124=76 problems wrong
5x+3-2x=7x+3 sometimes always never
The true statement is sometimes true
How to determine the true statement?The equation is given as
5x + 3 - 2x = 7x + 3
Evaluate the like terms on each side of the equation
So, we have
3x + 3 = 7x + 3
Evaluate the like terms on both sides
4x = 0
Divide both sides by 4
x = 0
This means that the equation is only true when x = 0
Hence, the true statement is sometimes true
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Record which place digit it is in the number below
Answer:
1: is in the million
6: is in the hundred thousand
7: is in the ten thousand
5: is in the thousand
8: is in the hundred
9: is in the ten
2:is in the one