Answer:
120 deg
Step-by-step explanation:
Use the given information below to determine the value of x.
A. 121
B. 180
C. 59
D. 62
If f(x) =1/2x + 7 and g (x) = 6x -8 find (f•g)(5)
Answer:
(f•g)(5)= [tex]\frac{309}{44}[/tex]
Step-by-step explanation:
f(x) =1/2x + 7
g (x) = 6x -8
f(g(5))
f(22)=[tex]\frac{1}{2x}[/tex]+7
= [tex]\frac{1}{44}[/tex]+7
=[tex]\frac{309}{44}[/tex]
PLZ HELP NO BAD ANSWERS!!
Multiple Choice
3.75 is the correct answer
In order to figure out the half-life, you divide to sample by 2. In order to find how many times to divide it you divide 15 by 3 and get 5. Therefore, you divide 120 by 2, 5 times and get 3.75
Triangle DEF is shown below.
Use the drop-down menu to explain how to determine the angle measures of any triangle that is similar to triangle DEF. Click the arrows to choose and answer from each menu.
A triangle similar to DEF will have an angle that measures *choose...* degrees, an angle that measures *choose...* degrees, and an angle that measures *choose...* degrees
Answer:
A triangle similar to DEF will have an angle that measures 45 degrees, an angle that measures 65 degrees, and an angle that measures 70 degrees
Step-by-step explanation:
Given
See attachment for complete question
Required
Angles of a triangle similar to [tex]\triangle DE F[/tex]
First, calculate the angle at D
[tex]D + 110^o = 180^o[/tex] ---- angle on a straight line
Collect like terms
[tex]D = 180^o - 110^o[/tex]
[tex]D = 70^o[/tex]
Next, calculate the angle at F
[tex]F + 135^o = 180^o[/tex] ---- angle on a straight line
Collect like terms
[tex]F = 180^o -135^o[/tex]
[tex]F = 45^o[/tex]
Lastly, the angle at E
[tex]D + E + F = 180^o[/tex] --- angles in a triangle
Make E the subject
[tex]E = 180^o - D - F[/tex]
[tex]E = 180^o - 70^o - 45^o[/tex]
[tex]E = 65^o[/tex]
A triangle similar to [tex]\triangle DE F[/tex] will have 45, 70 and 65 degrees as its angles
Allison drove home at 58 mph, but her brother Austin, who left at the same time, could drive at only 40 mph. When Allison arrived, Austin still had 90 miles to go. How far did
Allison drive?
......miles
Answer: 290 miles
Step-by-step explanation:
Given
Allison drove with a speed of 58 mph
Austin drove with a speed of 40 mph
If both start at the same time
suppose Allison takes t hours to reach the destination. So, the difference between the distance traveled in t hours is 90 miles
[tex]\Rightarrow 58t-40t=90\\\Rightarrow 18t=90\\\Rightarrow t=5\ hr[/tex]
Distance traveled by Allison is [tex]58\times 5=290\ miles[/tex]
An online vendor requires that customers select a password that is a sequence of upper-case letters, lower-case letters and digits. A valid password must be at least 10 characters long, and it must contain at least one character from each of the three sets of characters. What is the probability that a randomly selected string with exactly ten characters results in a valid password
Answer:
0.0283642
Step-by-step explanation:
Number of uppercase letters = 26
Number of lowercas = 26 alphabets = 10
Number of password characters = 10
Hence total number of passwords with exactly 10 characters (26 + 26 + 10) ^10 = 62^10 = 839299365868340224 passwords
Password with 10 strings, and having atleast one upper, lower and digit character :
26^1 * 26^1 * 10^1 * (26+26+10)^7 = 23806114737966080 (1 upper, lower and digit character, the remaining 7 could be any of them)
Probability = required outcome / Total possible outcomes
P(password with atleast 1 upper, lower and digit character) = 23806114737966080 / 839299365868340224
= 0.0283642
CAN SOMEONE HELP ME WITH THIS 25 POINTS TY :)
Answer:
Hello!
Here are the coordinates and a picture example!
Original coordinates: -3, -5
New coordinates: 3, -5
Hope that helps!
A floor tile is 20 inches wide. If the perimeter of the tile is 72 inches, what is the length of the tile?
Answer:
16 inches
Step-by-step explanation:
Given,
Perimeter = 72 inches
Breadth = 20 inches
Perimeter = 2 ( L+B )
72 = 2 ( L+20)
72= 2L + 40
72-40=2L
32/2=L
L=16 inches
therefore , lenght of the tile is 16 inches
Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, with x representing the ratings and y representing price, we find that the regression equation has a slope of 130 and a y-intercept of -350.
Required:
a. What is the equation of the regression line?
b. What does the symbol y represent?
Answer:
[tex](a)\ y = 130x -350[/tex]
(b) y represents the price of the hotel
Step-by-step explanation:
Given
[tex]b = 130[/tex] --- slope
[tex]a = -350[/tex] --- y intercept
Solving (a): The equation of the regression line.
The general form of the equation of the regression line is:
[tex]y = bx + a\\[/tex]
Substitute values for b and a;
[tex]y = 130x + (-350)[/tex]
Remove bracket
[tex]y = 130x -350[/tex]
Solving (b): What y represents
From the question, we understand that: y stands for price
Hence, the symbol y represents the price of a hotel. The value of y depends on x (the ratings)
In a class of 20 students, 12 are girls, what is the probability that a student chosen at random is a boy?
Let A = {a,b,c} and let B = {1,2,3}. Determine n(AB)
Answer:
6
Step-by-step explanation:
really dude, im in 7th grade and answerd this.
The complex plane is also known as what?
Jena has a small jewelry box in the shape of a cube with side lengths of two inches. How much greater is the volume of her large jewelry box with the dimensions 7 inches, 5 inches, and 4 inches?
Plz help no links please
Answer:
216 cubic inches
Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.
What is a cube?
A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.
Given, length of the each side of Jena's small jewelry box = 2 inches.
Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.
Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.
Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.
Hence, the difference = (140 - 8) inches³ = 132 inches³.
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Based on the way living things are organized, what level combines to form tissues? Cells Molecules Organs Organ systems
Answer:
Cells
Step-by-step explanation:
HTH!
Which expression is equivalent to expression shown?
Answer:
3⁷ × 1/3⁴
Step-by-step explanation:
3⁷ × 3¯⁴
The above expression can be simplified as follow:
3⁷ × 3¯⁴
Recall,
a¯ⁿ = 1/aⁿ
Thus,
3¯⁴ = 1/3⁴
Therefore,
3⁷ × 3¯⁴ = 3⁷ × 1/3⁴
Find the measure of each numbered angle or are.
Sarah has a new puppy and she wants to maximize her outdoor time, so she builds her a fenced in play area. She has 40 feet of fencing, and she wants to fence off a rectangular area next to her house. The house will be one side of the play area, so that side needs no fencing. In order for the puppy to have adequate space, the area needs to be at least 5 feet long and5 feet wide. What is the largest area she could have? Is there a smallest area she could have if she wants to use all 40 feet of fencing?
Answer
Step-by-step explanation:
yes 20 feet long
The largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet. The smallest area she could have while using all 40 feet of fencing is 100 square feet.
To maximize the area of the play area, we can consider the dimensions that will allow for the largest possible rectangle. Let's denote the width of the play area as "w" (in feet) and the length as "l" (in feet).
Since one side of the play area is already taken care of by the house, we need to use the remaining 40 feet of fencing to enclose the other three sides.
We have two equal sides (width) and one side (length) that needs to be fenced.
Considering the given conditions:
The area needs to be at least 5 feet long and 5 feet wide.
The total length of the fencing is 40 feet.
Let's consider the possible scenarios:
Scenario 1: The width and length are both 5 feet.
In this case, the total length of the fencing required would be:
2 * 5 feet (width) + 5 feet (length) = 15 feet.
However, since we have 40 feet of fencing available, this scenario is not possible.
Scenario 2: The width is 10 feet, and the length is 20 feet.
In this case, the total length of the fencing required would be:
2 * 10 feet (width) + 20 feet (length) = 40 feet.
This scenario satisfies all the given conditions and uses all 40 feet of fencing. The area in this case would be:
Area = Width * Length = 10 feet * 20 feet = 200 square feet.
Therefore, the largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet.
As for the smallest area she could have while using all 40 feet of fencing, that would be when the play area is a square. Since all sides of a square are equal, the play area would be a square with sides of 10 feet each. The area in this case would be:
Area = Side * Side = 10 feet * 10 feet = 100 square feet.
So, the smallest area she could have while using all 40 feet of fencing is 100 square feet.
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Find the level of measurement (nominal, ordinal, interval, or ratio) and type quantitative or qualitative) for the following variable.
a. End-of-year stock classification (high yield, medium yield, or low yield)
b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long.
c. Temperature (in degrees Celsius)
d. Duration (in minutes) of a call to a customer support line
Answer:
a. Nominal and qualitative.
b. Ratio and quantitative.
c. Interval and quantitative.
d. Interval and quantitative.
Step-by-step explanation:
A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;
1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
3. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
4. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
In this scenario, the level of measurement and data type are listed below;
a. End-of-year stock classification (high yield, medium yield, or low yield): the level of measurement is nominal because they are categorized. Also, the type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.
b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long: the level of measurement is a ratio because they can be arranged in order. Also, it's a quantitative data because it is numerical in nature.
c. Temperature (in degrees Celsius): the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.
d. Duration (in minutes) of a call to a customer support line: the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.
the length of a rectangle is 52 cm and its perimeter is 200 cm.what is the area of the rectangle
Answer:
2496 cm sq.
Step-by-step explanation:
Length equals 52cm and Perimeter is 200cm.
Area = Length x Breadth (or Width).
To find the area we have to first find the breadth.
2 x (Length + Breadth) = Perimeter.
Substituting what's given in the question, we get:-
2 x ( 52 + Breadth) = 200
52 + Breadth = [tex]\frac{200}{2}[/tex]
52 + Breadth = 100
Breadth = 100 - 52
Breadth = 48cm.
So, Area equals-------->
Length x Breadth
= 52 x 48
Area = 2496 cm sq.
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
Step-by-step explanation:
Number 5 is L because you have 18 coins but you only want to find the probability of the pennies. So take 3/18 and simplify to 1/6 by dividing both the numerator and the denominator by 3.
Number 6 can be (-6x - 3), just use the distributive property on the original expression.
Answer:
5. I.
6. -6x - 3
Step-by-step explanation:
For number five you add up all the coins, which equals 18. Secondly, you see how many pennies there are. There are 3 so the answer is 3/18. Then you simpy into 1/6.
For number six, you want to multiply 3 by -2x and then multiply 3 by -1. You will get the answer -6x -3. If you see a number outside the parenthesis then multiply by the number inside of it.
During the last week of the semester, students at a certain college spend on the average 4.2 hours using the school’s computer terminals with a standard deviation of 1.8 hours. For a random sample of 36 students at that college, find the probabilities that the average time spent using the computer terminals during the last week of the semester is a) At least 4.8 hours (Draw the bell curve) b)
Answer:
0.97725
Step-by-step explanation:
Given :
Population mean, μ = 4.2
Population standard deviation, σ = 1.8
Sample size, n = 36
Obtain the Zscore of x = 4.8
Zscore = (x - μ) ÷ (σ / √n)
Zscore = (4.8 - 4.2) ÷ (1.8 / √36)
Zscore = 0.6 ÷ 0.3
Z = 2
Hence,
P(Z ≤ 2)
Using the Z probability calculator :
P(Z ≤ 2) = 0.97725
help plsssss A gardener needs 6 bushels of a potting medium of 40% peat moss and 60% vermiculite. He decides to add 100% vermiculite to his current potting medium that is 50% peat moss and 50% vermiculite. How many bushels of the 100% and the 50/50 mixture does he need?
Answer:
THISE IS YOUR ANS I HOPE IT IS HELPFULL
What is the inverse of the function g(x)=x^3/8+16
Answer:
The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]
Step-by-step explanation:
Inverse of a function:
Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.
In this question:
[tex]y = \frac{x^3}{8} + 16[/tex]
Exchanging x and y:
[tex]x = \frac{y^3}{8} + 16[/tex]
[tex]\frac{y^3}{8} = x - 16[/tex]
[tex]y^3 = \frac{x-16}{8}[/tex]
[tex]y = \sqrt[3]{\frac{x-16}{8}}[/tex]
The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]
In the question below, you can eliminate two answers quickly? Which two
can you ELIMINATE? Explain why.
Choose the graph below that meets all three of the following requirements:
lim f(x) = 3 lim f(x)=-1 lim f(x) = 2
X-1
x-1
Answer:
Your answer would be D
Step-by-step explanation:
Write the equation in slope-intercept form:
3y = 2x +15
Answer:
y = 2/3x + 5
Step-by-step explanation:
Hope this helps! :)
can I get help? no links!! there can be multiple answers ( picture attached)
Can you pls help me fast
Which of the following is not an inequality?
A
435 ≥ 5p + 4
B
g - 7 < 100
C
18x + 9y
D
a > 6b
Please look at the image
Answer:
[tex]n \leqslant 4[/tex]
Step-by-step explanation:
[tex] - 3n - 5 \geqslant - 17[/tex]
[tex] - 3n \geqslant - 12[/tex]
[tex] \frac{ - 3n}{ - 3} \leqslant \frac{ - 12}{ - 4} [/tex]
[tex]n \leqslant 4[/tex]