Answer:
Even function.
Step-by-step explanation:
An odd function has symmetry with respect to the origin.
[tex]\text{A function is odd }\Leftrightarrow f(-x)=-f(x)[/tex]
The sine function is an odd function:
[tex]\sin(-\theta)=\sin(\theta)[/tex]
An even function has symmetry with respect to the y-axis.
[tex]\text{A function is even}\Leftrightarrow f(-x)=f(x)[/tex]
The cosine function is an even function:
[tex]\cos(-\theta)=\cos(\theta)[/tex]
Is the function [tex]f(\theta)=2\cos(\theta)[/tex] an odd or even function?
It is an even function.
What happens in the function is a vertical stretch by a factor of 2. The y-intercept is equal to 2.
The ground temperature at sea level is 60 degrees F. For every 100-foot increase in elevation, the temperature rises 1/10 of one degree. At an altitude of 2,000 feet, what will be the likely temperature? A. 58 degrees F B. 62 degrees F C. 72 degrees F D. 80 degrees F Show ALL work please!!
====================================================
Explanation:
x = elevation in feet
y = temperature in fahrenheit
The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.
The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.
We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60
Now plug in x = 2000 to find the temperature at this elevation
y = 0.001x+60
y = 0.001*2000+60
y = 2+60
y = 62
Answer:
B.62
Step-by-step explanation:
60 + (2000/100) We find 20 is the answer to the division
60 + (20 * 1/10) We find 2 is the answer to the multiplication
60 + (2)
We can then + for elevation or - or depression or decrease.
= 62
= 62 degrees.
PLZZ HELPP!! Water is poured from a 1.5 L water bottle into an empty glass until both the glass and the bottle are 3/4 full. What is the volume of the glass?
Answer:
0.5 L
Step-by-step explanation:
volume of bottle: 1.5 L
amount of water = 1.5 L
volume of glass: x
3/4 full is the same as 0.75 full
vol of water in bottle + vol of water in glass = total vol of water
0.75(bottle) + 0.75(glass) = 1.5
0.75(1.5) + 0.75x = 1.5
0.75x = 0.375
x = 0.5
What is the probability of rolling a number less than three on a six-sided die?
Answer: The probability would be 1/3.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Only '1' and '2' are less than '3' on a 6-sided die.
Thus, only 2 out of 6 outcomes are of interest.
The probability of rolling a number less than three on a six-sided die is therefore 1/3.
3. If a function maps Set A to Set B, do all elements of Set A
have to be used?
Answer:
So we have a function such that:
Takes elements of Set A, and maps them into Set B.
So Set A is the domain, and Set B is the range.
Where the domain is defined as the set of all the possible inputs of a function, and the range is the set of the possible outputs.
In principle, yes, if f(x) maps Set A into Set B, all the elements of Set A should be used, why?
Because we need to check if there is a problem with Set A, for example the function f(x) = 1/x has a problem when x = 0, so we remove x = 0 from the domain of that function.
So, a function is only a function if it maps ALL the elements of its domain into only one element in the range.
In two or more complete sentences, explain the theorem used in solving for the range of possible lengths of the third
side, AB of ^ABC
Answer:
pythagorean theorem - The length of the hypotenuse squared will always equal the sum of A squared and B sqaured. The equation is A^2 + B^2 = C^2.
Step-by-step explanation:
For Example
A = 4 A^2 = 16
B = 2 B^2 = 4
C = ? C^2 = ?
16 + 4 = 20
[tex]\sqrt{20}[/tex] ≈ 4.5
C/Hypotenuse = 4.5
Given: ΔABC, AC = BC, AB = 3 CD⊥ AB, CD = 3 Find: AC
3.35 (3 sig.fig)
Given:Triangle ABC
AC = BC, AB = 3, CD perpendicular to AB, CD =3
Find:AC (Hypotenuse)
Step-by-step solution:AC = BC shows that Triangle ABC is an isosceles triangle.
As CD is perpendicular to AB, and, both sides
(AC & BC) have equal angles and length, making the line CD cut right across the triangle.
(Point D is in the middle of Line AB)
Resulting in 2 EQUAL triangles in Triangle ABC.
To find one of the 2 triangles:
1. Take Line AB and divide it in half as both sides are equal.
Line AD = 3 / 2
= 1.5
2. Use the Pythagoras Theorem to find Line AC (Hypotenuse). [c^2 = a^2 + b^2]
a : Line AD = 1.5
b : Line CD = 3
c^2 = 1.5^2 + 3^2
c^2 = 2.25 + 9
c^2 = 11.25
c = (Square Root) 11.25
c = 3.35 (3 significant figure)
Therefore, the answer is:
3.35
What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please!
Answer:
A.
Step-by-step explanation:
Find the area of the triangle: 26-20=6. 14x6=84/2=42. Now that we calculated the triangle's area, we need to find out the rectangle's. 20x14=280. Add them up: 280+42=322 mm^2. Triangle: b x h/2. Rectangle: l x h.
The area of a 2D form is the amount of space within its perimeter. The area of the given figure is 322 mm². The correct option is A.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure can be broken into a rectangle and a right-angle triangle, in order to calculate the area of the given polygon.
The area of the rectangle with a length of 20mm and height of 14 mm is,
Area of the rectangle = 20mm × 14mm
= 280 mm²
The area of the right-angled triangle with a base length of 6mm and height of 14 mm is,
Area of the triangle = (1/2) × 6mm × 14mm
= 42 mm²
Now, the total area of the given figure can be written as,
The total area of the given figure
= Area of the rectangle + Area of the triangle
= 280 mm² + 42 mm²
= 322 mm²
Hence, the area of the given figure is 322 mm².
Learn more about the Area here:
https://brainly.com/question/1631786
#SPJ5
URGENT!!! REALLY NEED HELP!!!
FIRST *CORRECT* ANSWER WILL BE BRAINLIST!!!!!
The bar graph shows the percent of students that chose each drink in the school
cafeteria. Which statement about the graph is true?
Answer:
1st option
Step-by-step explanation:
Because .3*300=90
.3=30%
Answer:
If 300 lunches were served, then 90 chose milk (7).
Step-by-step explanation:
To determine that this is the correct answer, you can just divide 90/300, which is equal to 0.3 or 30%. When you look at the graph, you can see that "milk" is equal to 30%, so this statement is true.
Here can somebody help me with this problem
Answer:
H, 40%
Step-by-step explanation:
We can start out simple by finding out the number of cars in each category.
30 remote-controlled cars
90 non remote-controlled cars.
20% of the remote controlled cars are yellow, meaning that there are 6 yellow remote controlled cars.
Since 50% of the total cars are yellow, there are 60 yellow cars. Subtracting this from the yellow remote controlled cars, there are 54 yellow non remote contolled cars.
What this means is that 54/90 of the non-remote cars are yellow, and 36/90 of the non-remote cars are yellow. 36/90 is just 2/5, which means that our answer is H, 40%.
PLEASE HELP PLEASE WILL MARK BRAINLY
Answer:
1,4,7,9,10
7,28,49,63,70
table thingy
Step-by-step explanation:
The amount multiplied is 7- we can divide or multiply accordingly because it is 7 dollars per feet of fencing.
Somebody please help me on this math problem
Answer:
I believe that the answer is F.
Step-by-step explanation:
The y coordinate is about the test score (per question is assume).
It if is per question then 5 points will be handed out for every four questions or 1.25 per question.
Answer:
F
Step-by-step explanation:
Find the slope:
two points were given (1, 5/4) and (0, 0) because if you get zero question right you will recieve zero points.
Slope: 5/4
y= (5/4)x
Lets check F
You get 4 questions rights then you will get 5 points.
What is the value of y?
Answer:
63 degrees
Step-by-step explanation:
(180-54)/2=126/2=63
Answer:
The value of y is 63
Step-by-step explanation:
The sum of angles in a triangle is 180°.
The angles in the triangle are 54°, y°, y°
Sum of angles in the triangle = 54° + y° + y° = 54 + 2y°
To find y, equate the sum of the angles in the triangle to 180°
54° + 2y° = 180°
2y° = 180° - 54°
2y° = 126°
y = 126/2 = 63
AHH, I need help .....again. ik this one is easy my brain is just - also, what is a good excuse to tell my teacher because this assignment is past due by one day bc i thought it was due on the 6 but .... it wasn't . And idk what to say plz help !!! thx :D
Answer:
fraction: 87/100. decimal: 0.87
Step-by-step explanation:
Because there are 10 rows and 10 colums, you know the denominator is 100 because it is 10x10.
Then I counted the first 80 blue squares and knew it was 80 because it is 8 rows and 10 colums. Then I added 7 blue squares because that is above the 80, and 80+7 is 87. So, the fraction is 87/100.
100ths places in decimals is two places, so the 87 would be in the first two decimal places, so it would be 0.87.
Sorry if this is confusing, and I hope it helps :)
Answer:
Fraction = 87 over 100 or [tex]\frac{87}{100}[/tex] The decimal = 0.87
Step-by-step explanation:
first what I did was I counted all of the total squares which was 100 then I counted all of the Shaded squares which was 87.then I put 87 over 100 as a fraction and try to figure out if that was its simplest form which it was. for the decimal all I had to do was take 87 and divide it by 100
help me plz i need help
During a science experiment, the temperature of a certain substance was recorded at three different times. Use this information to complete the statements below. The time at which the temperature is below 0°C is ___ (3:00,4:00,5:00) The time with the highest temperature is ___(3:00,4:00,5:00) The temperature at 3:00 is ____(closer too, farther from) 0°C than is the temperature at 4:00. HELP ASAP
Answer:
Step-by-step explanation: The time at which the temperature is below 0°C is 3:00
The time with the highest temperature is 4:00 The temperature at 3:00 is closer too zero than the temp at 4:00
what is the domain of the function shown in the graph below
answer type: interval, all real numbers, all values except one, all values except two
interval:
interval [3,6]
as you can see only values of x, having a value y in the graph.
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
The answer is B
Step-by-step explanation:
A line has Zero slope is when the line is parallel to the x-axis. The slope of the first pair of coordinates will have no slope or zero slopes.
What is the slope of a line?The slope of a line is given by the formula,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]
where (x₂,y₂) and (x₁,y₁) are the coordinates of any point on the line of slope.
1. For the first slope, the given coordinates are
(-3,2),(-1,2),(1,2),(3,2)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{2-2}{-3-3}=\dfrac{0}{-6}=0[/tex]
Thus, the slope of the line is 0. And if we plot the points on the graph we will see that the slope of the line is 0.
2. For the second slope, the given coordinates are
(-3,3),(-1,1),(1,-1),(3,-3)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{3-(-3)}{-3-3}=\dfrac{6}{-6}=-1[/tex]
Thus, the slope of the line is -1. And if we plot the points on the graph we will see that the slope of the line is -1.
3. For the third slope, the given coordinates are
(-5,-5), (0,0), (5,5)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{-5-5}{-5-5}=\dfrac{-10}{-10}=1[/tex]
Thus, the slope of the line is 1. And if we plot the points on the graph we will see that the slope of the line is 1.
4. For the fourth slope, the given coordinates are
(-2,5), (-2,0), (-2,5)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{5-0}{-2-(-2)}=\dfrac{5}{0}[/tex]
Thus, the slope of the line is undefined. And if we plot the points on the graph we will see that the slope of the line is undefined or at 90° from the x-axis.
Hence, the slope of the first pair of coordinates will have no slope or zero slopes.
Learn more about Slope of the line:
https://brainly.com/question/2514839
The t distribution approaches the _______________ distribution as the sample size ___________.
Answer:
Normal; increases.
Step-by-step explanation:
In Statistics and probability, a student t-distribution also known as the t-distribution refers to the continuous probability distribution which can be used to estimate population parameters when the population variance or standard deviation is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.
The t-distribution approaches the normal distribution as the sample size increases because the parameters becomes negligibly smaller.
This ultimately implies that, when the degree of freedom of a t-distribution curve is increased in comparison with that of a normal distribution, the value of probability becomes significantly similar.
Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window panes is an expression with a whole-number exponent. Write an expression with exponents to find the total number of panes in 12 windows.
Answer:
I believe it's (4^2)*12
Step-by-step explanation:
To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes
Hope this helps! ∪ω∪
I would like to have some help please! ❤ thank youu I need help on the 2 question that is "write three expressions containing exponentz so that each expression equals 81."
Answer:
Below
Step-by-step explanation:
Notice that 81 = 9 * 9
So here is the first expression:
● 9^2
9 is 3^2 so 9^2 is 3^4
That's another expression
● 3^4
81 = 9*9 = 3*3*3*3 = 3^3 *3
That's another expression
● 3*3^3
You can keep manipulating the product and create many expressions like:
● 3^2 * 3^2
● 9 * 3^2
Math is not my strong point..
Answers:
20in
16in
18in
Would also appreciate an explanation if possible, so I can understand myself. But it’s alright if it’s not provided.
Find the lateral area of this cone
what is the volume of a sphere when the radius is 7, PLZ HELP WILL RATE THE BRANLIEST
Answer:
[tex]V=1437.33\ \text{unit}^3[/tex]
Step-by-step explanation:
We need to find the volume of a sphere when the radius is 7. To find volume we must know the formula used to find the volume of a sphere. The formula of volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3\\\\V=1437.33\ \text{unit}^3[/tex]
So, the volume of a sphere when the radius is 7 is [tex]1437.33\ \text{unit}^3[/tex].
Answer:
V≈1436.76
Step-by-step explanation:
i searched it on google
h(x+1)=x^2-4 evaluate function by substuting x+1
Answer:
h(x + 1) = (x+3)(x-1)
Step-by-step explanation:
Simply plug the value of x+1 into the equation for x.
h(x) = x^2 - 4
h(x + 1) = (x + 1)^2 - 4
h(x + 1) = x^2 + 2x + 1 - 4
h(x + 1) = x^2 + 2x - 3
h(x + 1) = (x+3)(x-1)
Cheers.
Answer:
h(t)= t² - 2t -3
Step-by-step explanation:
h(x+1)= x²-4 is the given function
We can write it x²-4 as:
(x+2)(x-2)= (x+1+1)(x+1 - 3)Substituting x+1 with t. Then function is:
h(t)= (t+1)(t-3)= t² - 2t -3or
h(t)= t² - 2t -32. Solvex2 - 6x = -5 by completing the square , Show all work for the steps below . ( a ) Forx ? - 6x + = -5+ , what value of c is used to complete the square ? ( b ) Substitute the value for c in Part 2 ( a ) . Then complete the square to rewrite the equation as the square of a binomial . ( c ) Solve for x
Answer:
see explanation
Step-by-step explanation:
Given
x² - 6x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 5 + 9 [ part a, c = 9 ]
(x - 3)² = 4 [ part b ]
Take the square root of both sides
x - 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 3 to both sides )
x = 3 ± 2
Thus part c is
x = 3 - 2 = 1
x = 3 + 2 = 5
Find the median of the data in the dot plot below.
Answer:
it's 40
Step-by-step explanation:
because, there's five numbers on each side of 40
Answer:
Step-by-step explanation:40
Nine-tenths of a 70 foot long driveway has already been paved. How many
feet of the driveway have been paved so far?
Answer:
63
Step-by-step explanation:
becuase when you divide 70 by 10, you will get 7 which then when you mutiply it by 9, you will get 63
Evaluate 3a2 + 4b2 for a =
2 and b = 3.
O
168
48
O
36
Answer:
48
Step-by-step explanation:
a=2
b=3
3a^2+4b^2
3(2)^2+4(3)^2
3(2)(2)+4(3)(3)
3(4)+4(9)
12+36
48
Hope this helps ;) ❤❤❤
Does the table represent a linear function ??
Answer:
No.
Step-by-step explanation:
The points from the table need to have a constant slope for the function to be linear.
Slope is rise over run.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For (1,1) and (2,2):
[tex]m=\frac{2-1}{2-1}=\frac{1}{1}=\boxed{1}[/tex]
The slope is 1.
For (3,6) and (4,24):
[tex]m=\frac{24-6}{4-3}=\frac{18}{1}=\boxed{18}[/tex]
The slope is 18.
1 ≠ 18
Since the slopes of the points are no consistent, the table represents a nonlinear function.
Therefore,
The table does NOT represent a linear function.
Find the area of the ACTUAL gym
Step-by-step explanation:
The three main types of exercise are cardiovascular exercise, strength training and stretching. All three types of exercise are important for physical fitness. Cardiovascular aerobic exercise is repetitive, rhythmic exercise that increases your heart rate and requires you to use more oxygen.
Answer:
6.67
Step-by-step explanation:
