Answer:
900 cm
Step-by-step explanation:
1 : 50
We need the first number to be 18 so multiply by 18
1:18 : 50*18
18 cm : 900 cm
Graph the function g(x) = 3^x + 3 and give its domain and range using interval notation
The question is an illustration of a function using graphs. When a function is plotted on a graph, the x-axis represents the domain, while the y-axis represents the range of the function.
The domain and the range of the given function are:
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex](3,\infty)[/tex]
From the question, we have the function to be:
[tex]g(x) = 3^x + 3[/tex]
First, we plot the graph of g(x)
To do this, we first generate values for x and g(x). The table is generated as follows:
[tex]x = 0 \to g(0) = 3^0 + 3 = 4[/tex]
[tex]x = 1 \to g(1) = 3^1 + 3 = 6[/tex]
[tex]x = 2 \to g(2) = 3^2 + 3 = 12[/tex]
[tex]x = 3 \to g(3) = 3^3 + 3 = 30[/tex]
[tex]x = 4 \to g(4) = 3^4 + 3 = 84[/tex]
In a tabular form, we have the following pair of values
[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ g(x) & {4} & {6} & {12} & {30} & {84} \ \end{array}[/tex]
See attachment for graph
From the attached graph of g(x), we can observe that the curve stretches through the x-axis and there are no visible endpoints.
This means that the curve starts from - infinity to +infinity
Hence, the domain is: [tex](-\infty,\infty)[/tex]
Also, from the same graph, we can observe that the curve of g(x) starts at y = 3 on the y-axis and the curve faces upward direction.
This means that the curve of g(x) is greater than 3 on the y-axis.
Hence, the range is: [tex](3,\infty)[/tex]
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i will give brainliest help please
Answer:
SA = 52 square meters
Step-by-step explanation:
First, the equation I'll be using for this problem is SA=2(wl+hl+hw)! Our width is 4m, our length is 3m, and our height is 2m. To begin to solve this problem we are going to input these values in to the equation above.
SA = 2(4 × 3 + 2 × 3 + 2 × 4)
Next, we are going to multiply our values inside the parenthesis based on the PEMDAS strategy (if you have any questions about this, feel free to ask below :).
SA = 2(12 + 6 + 8)
Now, we can add our values inside the parenthesis.
SA = 2(26)
Finally, all we have to do is distribute the 2 outside of the parenthesis to inside the parenthesis.
SA = 52 square meters
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
if PQR measures 75° , what is the measure of SQR
Answer:
PQR+SQR=180°(angles in a triangle)
75°+SQR=180°
SQR=180°-75°
SQR=105°
Ashley has a rectangle made out of paper that is 8 cm by12 cm. She folds it in half twice, first vertically and then horizontally. The new rectangle looks just like the original rectangle but smaller. What is the area of the new smaller rectangle in square cm
Answer:
[tex]Area =24cm^2[/tex]
Step-by-step explanation:
Given
[tex]L = 8cm[/tex]
[tex]W = 12cm[/tex]
[tex]r = 2[/tex] -- folded twice
Required
The area of the new rectangle
When the length was folder, the new length is:
[tex]l = L/2 = 8cm/2 = 4cm[/tex]
When the width was folder, the new width is:
[tex]w = W/2 = 12cm/2 = 6cm[/tex]
So, the new area is:
[tex]Area =l * w[/tex]
[tex]Area =4cm * 6cm[/tex]
[tex]Area =24cm^2[/tex]
7 There are five women and six men in a group. From this group a committee of 4 is to be chosen. In how many different ways can a committee be formed that contain at least three women?
Answer:
in three (3) ways a committee can formed
The carpet in the school library needs to be replaced. The dimensions of the library floor or shell each square foot of cart bit cost $1.25. What is the total cost of the new carpet for the library
To find the cost, we must:
First, find the area of the carper. It can be found dividing the carper into a rectangle and a right triangle.Then, with the area, in square foot, we have the cost per square foot, which makes it possible to find the total cost.Doing this, we get that the cost is: $3,815, and the correct option is B.
Carpet:
The carpet can be divided into:
A rectangle of dimensions 56 ft and 38 ft.A right triangle of legs 71 - 38 = 33 ft and 56 ft.----------------------------------------------
Area of the rectangle:
The area of a rectangle of dimensions l and w is given by:
[tex]A_r = lw[/tex]
In this question, the dimensions are l = 56 ft, w = 38 ft, so the area, in square feet, is:
[tex]A_r = 56*38 = 2128[/tex]
-------------------------------------------
Area of a right triangle:
The area of a right triangle of legs a and b is given by:
[tex]A_t = \frac{ab}{2}[/tex]
In this question, the legs are a = 56, b = 38, so the area, in square feet, is:
[tex]A_t = \frac{56(33)}{2} = 924[/tex]
----------------------------
Total area:
The total area is the sum of the area of the rectangle with the area of the right triangle, thus:
[tex]A = A_r + A_t = 2128 + 924 = 3052[/tex]
-------------------------
Cost:
Each square foot costs $1.25.
There are 3,052 square feet. So, the cost is:
[tex]C = 1.25*3052 = 3815[/tex]
Thus, the cost is $3,815, and the correct option is B.
A similar question is found at https://brainly.com/question/13209573
7. Solve -4(6x + 3) = -12(x + 10).
Plane P is a cross-section of the solid below. What shape is the cross section?
A. rectangle
B. not enough information
C. hexagon
D. pentagon
Answer:
C. Hexagon
Step-by-step explanation:
The answer is clearly C. Hexagon. This is because the question is referring to the shape shown on Plane P as if it were 2D. Therefore, the shape with 6 sides is a hexagon and cannot be anything else.
The shape is the cross-section is a hexagon.
What is a hexagon?In geometry, a hexagon may be described as a closed two-dimensional polygon with six aspects. The hexagon has 6 vertices and 6 angles also. Hexa means six and gonia approach angles.
All hexagons have six facets, regardless of the sort of hexagon it is. which means that normal hexagons, irregular hexagons, concave hexagons, and convex hexagons all have six facets.
Learn more about hexagon here:-https://brainly.com/question/1615720
#SPJ2
help with summer school
Answer:
19
Step-by-step explanation:
3a -2^3 ÷b
Let a = 7 and b = 4
3*7 -2^3 ÷4
PEMDAS says exponents first
3*7 -8 ÷4
Multiply and divide from left to right
21 - 2
Subtract
19
If you multiply the sum of 546 and 1711 by zero, what will be your result?
Answer:
0
Step-by-step explanation:
any numbers multiply by zero always equals to zero
3. In A PQR, MZP=(4x-5),
m2Q=(8x-50), and MZR=(3x+10).
Which of the following best describes
APQR?
® Right triangle
® Isosceles triangle
© Equlateral triangle
Scalene triangle
Answer:
B
Step-by-step explanation:
The sum of all of them will result in 180. 15x-45=180. x=15. P=55, Q=70 and R=55. It's an isosceles triangle
Answer:
b
Step-by-step explanation:
its b
Find the missing segment in the image below
Answer:
4
Step-by-step explanation:
First, we can take two triangles -- one with 2 as a side and the big one. Literally every side of the triangle with the 2 in it is parallel to its corresponding side the big triangle. Therefore, we can say that the two triangles are similar.
In similar triangles, we can say that the ratios of corresponding sides are the same. Let's say that the bottom side of the big triangle is x, and the question mark is y. Therefore, the hypotenuse of the big triangle is 6+y. Furthermore, the ratio of corresponding sides ((6+y)/y and x/2) are equal, so
(6+y)/y = x/2
Since x is clearly made up of 3 and 2, we can say 3+2=x=5
(6+y)/y = 5/2
multiply both sides by y to remove a denominator
6+y = 5*y/2
multiply both sides by 2 to remove the other denominator
12+2y = 5*y
subtract both sides by 2y to isolate the y and its coefficient
12 = 3y
divide both sides by 3 to isolate the y
y=4
41. A pair of shoes was originally priced at
$90. After two successive discounts of
10% and 5%, what was the final price?
(1) $72.90
(2) $75.00
(3) $76.95
(4) $78.25
(5) $80.40
of 30 and a pe-
Answer:
Step-by-step explanation:
First discount
90/100 * 90 = 81 dollars
Second discount.
Be careful. This is usually a discount from the price in part are.
5% of 81 = 5/100 * 81 = 4.05
81 - 4.05 = 76.95
Your small business spent $40 on food and another $60 on materials. Then, you sold an item for $120, but you had to pay a $90 service fee. Finally, you were given a refund from the Internal Revenue Service (IRS) for $70. If the expression describing these transactions is the following, then how does it evaluate?
Answer:
40$+60$=100$ spent
120$sold
90$ payed
70$ refund
120 (sold) -90 (payed) =30+70 (refund) =100$ (profit)
Step-by-step explanation:
You spent 100$
And you sold and got 120 but you payed 90$ from 120$ money left is 30$
Then they refunded you (pay back the money (give you the money ))
So the money that your left with is 30$ and the refund money is 70$
So add the money that your left with is gives you 100$
SI unit of areaWhat is the SI unit of area
square meter is the SI unit of area.
Megan and Suzanne each have a plant. They track the growth of their plants for four weeks.
Whose plant grew at a faster rate, and what was the rate?
Suzanne’s at 2 inches per week
Suzanne’s at 1.5 inches per week
Megan’s at 3 inches per week
Megan’s at 2.5 inches per week
Answer: Megan's at 3 inches per week
Answer: D (Megan's at 2.5 inches per week)
Step-by-step explanation: Its right.
A washer and a dryer cost $858 combined. The washer costs $92 less than the dryer. What is the cost of the dryer?
Answer:
383
Step-by-step explanation:
Let dryer be d.
(d + 92) + d = 858
2d + 92 = 858
-92 = -92
---------------------
2d = 766
---- ------
2 2
d = 383
The dryer is $383
Hope this helped.
Answer:
$475
Step-by-step explanation:
The dryer costs x.
Since the washer costs $92 less than the dryer, then the dryer costs x - 92.
Combined, they cost $858.
x + x - 92 = 858
2x - 92 = 858
2x = 950
x = 475
Answer: $475
There are 3 red marbles and 8 blue marbles in a bag. (a) What is the ratio of all marbles in the bag to blue marbles? (b) What is the ratio of red marbles to all marbles in the bag?
Answer:
a.) 11:8
b.) 3:11
Step-by-step explanation:
a)
Add all marbles
8 + 3 = 11
Blue marbles = 8
So, the ratio will be 11:8
b)
Red marbles = 3
All marbles = 11
So, the ratio will be 3:11
Hope this helps.
Answer:
Step-by-step explanation:
Find the length of the missing side
Answer:
Step-by-step explanation:
Side=AC=9[tex]\sqrt{2}[/tex]
Side AB= x
Hypotenuse =CB= y
Side AB = 9[tex]\sqrt{2}[/tex]
Hypotenuse CB = 36
An airplane started at 0 feet. It rose 21,000 feet at takeoff. It then descended 4,329 feet because of clouds. An oncoming plane was approaching, so it rose 6,333 feet. After the oncoming plane passed, it descended 8,453 feet, at what altitude was the plane flying?
A large cable company reports that 42% of its customers subscribe to its Internet service, 32% subscribe to its phone service and 23% subscribe to both its Internet service and phone service.
a) What is the probability that a randomly selected customer subscribes to the Internet service or the phone service?
b) What percent of customers subscribe to neither the Internet service nor the phone service?
9514 1404 393
Answer:
a) 51%
b) 49%
Step-by-step explanation:
a) P(A∪B) = P(A) +P(B) - P(A∩B)
P(A∪B) = 42% +32% -23% = 74% -23% = 51%
51% subscribe to one or the other.
__
b) P(¬A∩¬B) = P(¬(A∪B)) = 1 -P(A∪B) = 1 -51% = 49%
49% of customers subscribe to neither service.
Suppose taxi fares from Logan Airport to downtown Boston is known to be normally distributed and a sample of seven taxi fares produces a mean fare of $21.51 and a 95% confidence interval of [$20.52, $22.48]. Which of the following statements is a valid interpretation of the confidence interval?
a. we are 95% confident that a randomly selected taxi fare will be between $2051 and $2421.
b. 95% of all taxi fares are between $2051 and $2421.
c. We are 95% confident that the average tau fare between Logan Airport and downtown Boston will fall between $2051 and $2421.
d. The mean amount of a taxi fare is $22.31, 95% of the time.
Answer:
c. We are 95% confident that the average taxi fare between Logan Airport and downtown Boston will fall between $20.51 and $24.21.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95% confidence interval of [$20.52, $22.48].
We can be 95% sure that the true mean amount of taxis fares in downtown Boston is in this interval, and thus, the correct answer is given by option C.
Mr. Cole packed 20 pounds into a suitcase, and Mrs. Cole packed 23 pounds into the same suitcase. They then had to remove 8 pounds because it was too heavy. How many pounds was their suitcase after making it lighter?
Answer:
35 lbs is the final weight
Step-by-step explanation:
20 +23 = 43 lbs
Then they had to remove 8 lbs
43 - 8 =35
35 lbs is the final weight
(-1)×(-1)×(-1)×(2m+1) times where m is a natural number,is equal to?
1. 1
2.-1
3.1 or-1
4.None
Answer:
(2). -1
Step-by-step explanation:
The given parameter can be represented as:
[tex](-1)^{2m + 1}[/tex]
See comment for correct question
Required
The end result
From the question, we understand that m is a natural number
This means that:
[tex]2m + 1 \to[/tex] odd number
So:
[tex](-1)^{2m + 1} = -1[/tex] --- i.e. -1 to the power of an odd number will give -1
Hence; (2) is correct
The two rectangles have the same perimeters, find the value of x.
Answer:
x = 8ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
x=4
Step-by-step explanation:
2x-2+x+2x-2+x=3+7+3+7
6x-4=20
6x=24
x=4
Graph the function g(x) = 3^x + 3 and give its domain and range using interval notation.
When a function is plotted on a graph, the domain and the range of the function are the x-coordinate and the y-coordinate respectively.
The domain and the range of the given function are:
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex](3,\infty)[/tex]
The given function is:
[tex]g(x) = 3^x + 3[/tex]
First, we plot the graph of g(x)
To do this, we need to generate values for x and g(x). The table is generated as follows:
[tex]x = 0 \to g(0) = 3^0 + 3 = 4[/tex]
[tex]x = 1 \to g(1) = 3^1 + 3 = 6[/tex]
[tex]x = 2 \to g(2) = 3^2 + 3 = 12[/tex]
[tex]x = 3 \to g(3) = 3^3 + 3 = 30[/tex]
[tex]x = 4 \to g(4) = 3^4 + 3 = 84[/tex]
The generated values in tabular form are:
[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ g(x) & {4} & {6} & {12} & {30} & {84} \ \end{array}[/tex]
Refer to the attached image for graph of g(x)
To determine the domain, we simply observe the x-axis.
The curve stretches through the x-axis, and there are no visible endpoints on the axis. This means that the curve starts from [tex]-\infty[/tex] to [tex]+\infty[/tex]
Hence, the domain of the function is: [tex](-\infty,\infty)[/tex]
To determine the range, we simply observe the y-axis.
The curve of g(x) starts at y = 3 on the y-axis and the curve faces upward direction. This means that the curve of g(x) is greater than 3 on the y-axis.
Hence, the range of the function is: [tex](3,\infty)[/tex]
Read more at:
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Function: [tex]g(x) = 3^{x} + 3[/tex]. Domain: [tex]Dom \{g(x)\} = \mathbb{R}[/tex], Range: [tex]Ran \{g(x) \} = (3, +\infty)[/tex], respectively.
In Function Theory, the domain of a function [tex]f(x)[/tex] represents the set of values of the independent variable ([tex]x[/tex]), whereas the range of the function is the set of values of the dependent variable.
The Domain of the Function represents the set of values of [tex]x[/tex] (horizontal axis), whereas the Range it is the set of values of [tex]y[/tex] (vertical axis). After analyzing the existence of Asymptotes, we complement with graphic approaches and conclude where domain and range (in Interval notation) are.
Analytically speaking, the domain of exponential functions is the set of all real numbers and the range of [tex]g(x)[/tex] is any number between [tex]\lim_{x \to -\infty} g(x)[/tex] and [tex]\lim_{x \to +\infty} g(x)[/tex]. In a nutshell, we get the following conclusions in interval notation:
Domain: [tex]Dom \{g(x)\} = (-\infty, +\infty)[/tex], Range: [tex]Ran \{g(x) \} = (3, +\infty)[/tex]
Lastly, we proceed to complement this analysis by graphing function with the help of a graphing tool.
According to the image, domain and range coincides with outcomes from analytical approaches.
A circle has a radius of 10 units and is centered at (-9,9). What is the equation of this circle? \sqrt{9
square root of, 98, end square write the equation of this circle.
A circle has an equation of a form,
[tex](x-a)^2+(y-b)^2=r^2[/tex]
Where [tex](a, b)[/tex] is the center and [tex]r[/tex] is the radius.
The coordinates of your circle center are [tex](a,b)=(-9,9)[/tex] and the radius is [tex]r=\sqrt{98}[/tex], so plug that in,
[tex](x-(-9))^2+(y-9)^2=\sqrt{98}^2[/tex]
and simplify to get the equation,
[tex](x+9)^2+(y-9)^2=98[/tex]
Hope this helps :)
Find the domain and range of the function, f(x)=sin|x|
Answer:
[tex]Domain = (-\infty,\infty)[/tex]
[tex]Range = (0,1)\\[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sin|x|[/tex]
Solving (a): The domain
There is no restriction on the given function because it is not a root function and doesn't have a x denominated fraction
Hence, the domain is:
[tex](-\infty,\infty)[/tex]
Solving (b): The range
The minimum of a sine function is 0
The maximum of a sine function is 1
So, the range is:
[tex](0,1)[/tex]
find the value of the trigonometric ratio
Answer:
3/5
Step-by-step explanation:
sinA = opposite/hypotenuse = BC/AC = 21/35 = 3/5
Does the function f(x) = (0.68)^x represent exponential growth, decay, or neither?
Answer:
The function is always Decreasing
Step-by-step explanation:
By graphing the polyminal in order to determine the intervals over which it is increasing or decreasing we find that it always decreasing.
