Answer:
when the value of the slope gets bigger, the graph of a line gets steeper
Step-by-step explanation:
Please hurry!
Which of the following is true of the values of x and y in the diagram below?
A. y < x
B. y > x
C. y + x = 1
D. y/x = 1
Answer:
y/x = 1
Step-by-step explanation:
sin 45 = cos 45 = y /1 = x/1
so y = x
or y/x =1
5) The radius of a circle is 6mm. If the sector area is 14.14 mm2, what is the degree measure of the sector?
Answer:
Step-by-step explanation:
sector area = angle/360 * pi * r^2
14.14 = angle/360 * 22/7 * 6^2
14.14 = angle/360 * 22/7 * 36
(360 * 14.14 * 7)/(22 * 36) = angle
angle = 44.99 = 45 degrees
Which equation are correct set ups to solve for the hypotenuse ** 2 answers
(Solve and Round decimal to the nearest hundredths )
Answer:x^2=2^2+4^2. x=4.47
Step-by-step explanation:
Opposite=m=2
Adjacent=n=4
Hypotenuse=x
x^2=m^2+n^2
x^2=2^2+4^2
x^2=4+16
x^2=20
x=√20
x=4.47
A spinner numbered 1 through 12 is spun. Find the probability that
the number spun is an 11 given that the number spun was an odd
number. Please write your answer as a fraction.
Answer:
[tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Let A be the event of getting an odd number.
P(A) be the probability of getting an odd number.
Total odd numbers here are 6 i.e. [tex]\{1,3,5,7,9,11\}[/tex]
Here, total numbers in the game are 12 i.e [tex]\{1,2,3,....,12\}[/tex].
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}[/tex]
Let B be the event of getting 11.
P(B) be the probability of getting 11.
Total number of possible cases is 1.
[tex]P(B) = \dfrac{1}{12}[/tex]
[tex]P(A \cap B)[/tex] is the probability that we get 11 and an odd number.
Possible number of cases = 1
[tex]P(A\cap B) = \dfrac{1}{12}[/tex]
P(B/A) is the probability that we get an 11 given that it is an odd number.
[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}[/tex]
Hence, P(B/A) = [tex]\dfrac{1}{6}[/tex]
Answer:
The probability in fraction is [tex]\frac{1}{12}[/tex].
Step-by-step explanation:
Total number of outcomes is = 12
Now we have to find the probability that spun number is 11.
That means favorable outcome is 1.
In this case, the probability can be determined by dividing the number of favorable outcomes by the total outcome. Accordingly, the total outcomes are 12 and favorable outcome is 1.
[tex]\text{P(The spun number is 11)}= \frac{\text{Favorable outcomes}}{\text{total outcomes}} \\\text{P(The spun number is 11)}= \frac{1}{12} \ (in \ fraction)\\\text{P(The spun number is 11)} = 0.083 \ (in \ decimal)[/tex]
What is the value of q2– p2 for q = 4 and p = 2?
O A. 2
B. 4
C. 8
O D. 12
E.
14.
Answer:
q2- p2
4*2-2*2
8-4
B.4
Step-by-step explanation:
The value of q² - p² is 12 for the given value of p and q.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, The value of p = 2 and q = 4
the value of q² - p² for the given value
=> q² - p² = 16 - 4
=>q² - p² = 12
therefore, For the specified values of p and q, the value of q2 - p2 is 12.
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What is the volume of the cylinder? Use 3.14 for pi.
A. 715.92 cm3
B. 489.84 cm3
C. 3183.96 cm3
D. 1469.52 cm3
Answer:
V = 1469.52 cm^3
Step-by-step explanation:
cylinder volume = base area * height
= ( pi * R^2) * h
= pi * 6^2 * 13 = 1469.52 cm^3 (ANS)
The inside of a refrigerator in a medical laboratory measures 17 inches long by 18 inches wide by 42 inches high. How many cubic inches can it hold?
Answer:
12,852
Step-by-step explanation:
V= l*w*h
V=17*18*42
V= 12,852
Horatio transferred a balance of $2600 to a new credit card at the beginning
of the year. The card offered an introductory APR of 4.3% for the first 5
months and a standard APR of 13.7% thereafter. If the card compounds
interest monthly, which of these expressions represents Horatio's balance at
the end of the year? (Assume that Horatio will make no payments or new
purchases during the year, and ignore any possible late payment fees.)
O A 152800(0,00)" (.cz
O B. (120)(1.0) (2017
(32001, 2003" (1.1980
O D. (2000, 1900 og
O C. ($2600) 1+
Answer:
Step-by-step explanation:
2600(1+0.043/12)^6(1+0.137/12)^7
A rectangle perimeter and its are have the same numerical value. The width of the rectangle is 3 units. What is the length of the rectangle in units
Answer:
six
Step-by-step explanation:
3x6=18 and 3+3+6+6= 18.
A cone is cut by a plane parallel to its base. The small cone on top is similar to the large cone, with a similarity ratio of 1 : 2. The ratio between the volume of the small cone to that of the frustum is _ : _.
Answer:
1:1Step-by-step explanation:
The ratio between the volume of the small cone to that of the frustum is 1:1.
Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.
Ming would like to buy a plane ticket so she can visit her family this Thanksgiving, which is November 26. She has found that tickets for flights on days closer to Thanksgiving are more expensive than flights on days further away from Thanksgiving. A calendar from an airline company showing ticket prices by day is below.
Answer:
$165
Step-by-step explanation:
Answer:
156$
Step-by-step explanation:
What are the solution(s) to the quadratic equation 9x^2 = 4?
Answer:
x = ± 2/3
Step-by-step explanation:
9x^2 = 4
Divide each side by 9
9/9x^2 = 4/9
x^2 = 4/9
Take the square root of each side
x = ±sqrt(4/9)
x = ± 2/3
9x^2=4
/9 /9
x^2=4/9
sqrt both sides
x=+/-[tex]\sqrt{4/9}[/tex]
x=+/-([tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex])
x=+/-2/3
Answer:
x=2/3, x=-2/3
Find the quotient.
3 divided by 3636
A. 1,212
B. 1,202
C. 122
D. 112
E. 102
help asap!!
A police department used a radar gun to measure the speed of a sample of cars on the highway. Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a standard deviation of 8 mph. Using this distribution what is the z-score of a 65-mph speed limit?
Answer:
The z-score of a 65-mph speed limit is -0.75
Step-by-step explanation:
Here, we want to calculate the z-score
To calculate the z-score, we make use of the z-score formula
Mathematically;
z-score =(x-mean)/SD
from the question we identify the values as x = 65 mph, mean = 71 mph, Standard deviation(SD) = 8 mph
Plugging these values into the equation above, we have
z-score = (65-71)/8 = -6/8 = -0.75
At a camp, kids can choose swimming, art, or music.
40 kids choose swimming, 16 choose art, and 24 choose music.
What is the ratio of kids who choose art to kids who choose swimming?
Answer:
3:5
Step-by-step explanation:
all figures can be divided by 8, so
swimming- 40/8= 5
arts 16/8= 2
music 24/8= 3
therefore, the ratio would be 3:5
Answer:
3/5
Step-by-step explanation:
I took it but got it wrong so i did the math problem and got this 3/5
The perimeter of quadrilateral ABCD is 640. The perimeter of quadrilateral LMNO is 144. What is LM
Answer:
LM = 36
Step-by-step explanation:
A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.
Perimeter of a quadrilateral is the addition of all 4 sides.
Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.
See attachment for diagram used in solving the question.
Perimeter of square = length+ length+ length+ length
= 4× length
Perimeter of quadrilateral ABCD:
640 = 4×length
Length = 640/4
Length = 160
Perimeter of quadrilateral LMNO:
144 = addition of all 4 lengths
144 = LM + MN + NO +OL
Since we are considering a square all the sides are equal.
LM = MN = NO = OL
144 = 4×LM
LM = 144/4
LM = 36
If 99 people have a mean incame of doolar 400, how much is the mean incame increased by the addition of a woman with an incame of doolar 1500
Answer:
Step-by-step explanation:
Mean income of 99 people = $ 400
Sum of income of 99 people = 400 * 99 = $ 39600
Income of a woman = $ 1500
Income of 100 people = 39600 + 1500 = $41100
Mean of 100 people = 41100/100 = $411
411 - 400 = $11
Mean income increases by $11
caroline works 8 hours a day 5 days a week she earns £440 each week
how much does she earn per hour ?
Answer:
She earns £11 per hour
Step-by-step explanation:
You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.
Caroline will earn £11 for working per hour.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that caroline works 8 hours a day 5 days a week she earns £440 each week.
The earnings for an hour will be calculated as,
Total hours = 8 x 5 = 40 hours
Earning per hour = £440 / 40
Earning per hour = £11
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I really need help please.
I need the 8 characteristics of a square in the quadrilaterals!
I found some of them in internet but is very confusing, please heeeeeeelp :"(
Answer:
In Euclidean geometry, a quadrilateral is a four-sided 2D figure whose sum of internal angles is 360°. The word quadrilateral is derived from two Latin words ‘quadri’ and ‘latus’ meaning four and side respectively. Therefore, identifying the properties of quadrilaterals is important when trying to distinguish them from other polygons. So, what are the properties of quadrilaterals? There are two properties of quadrilaterals:
Step-by-step explanation:
Using sigma notation write the geographic series: 6+12+24+48+96
Answer:
[tex] $$\sum_{n=1}^{5} 6(2^{n-1}) $$ [/tex]
Step-by-step explanation:
6 + 12 + 24 + 48 + 96 =
= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16
= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4
= 6 * 2^(n - 1)
[tex] $$\sum_{n=1}^{5} 6(2^{n-1}) $$ [/tex]
The sum of two numbers is 198. If one number is 20% larger than the other number, what are the numbers?
x + y = 198
y = 1.20 x
x + 1.2 x = 198
2.2x = 198
x = 198/2.2 = 90
y = 198 - 90 = 108
Answer: 90 and 108
Answer:
108 and 90
Step-by-step explanation:
let the two numbers be x and y
from the question let y be the greater number
therefore, y = 20%x +x
y=20/100x + x
y=(20x+100x)/100
y=120x/100
y=1.2x
from the question
x+y=198______(1)
x+1.2x=198
2.2x=198
x=198/2.2
x=90
from (1)
x+y=198
90+y=198
y=108
x=90 y=108
Find the area of the following parallelogram
Answer:
6 cm^2
Step-by-step explanation:
The area of a parallelogram is
A = bh where b is the base and h is the height
A = 3 *2 = 6 cm^2
A group of 3 adults and 10 children bought tickets to watch a dance
performance. Each adult ticket cost $7 more than each child ticket.
The group paid a total of $125. What was the cost of each child ticket?
Answer:
6
Step-by-step explanation:
guess and check 6(10)+((6+7)5)=125
What is it that when you take away the whole, you still have some left over?
Answer:
wholesome!!! brainliest pls :)
Answer:
wholesome
Step-by-step explanation:
you take away the first word which is whole
and u still have the word some left over
hope this helped if this isnt what ur looking for plz tell me
If f(x) = x + 2 and g(x) = 3x + 4, then f(g(x)) = ? A) 3x + 6 B) 3x + 10 C) 3x2 + 6x + 4 D) 3x2 + 10x + 6
Answer:
A. 3x+6
Step-by-step explanation:
To answer this problem you would want to replace the g(x) equation with for the x in the f equation and solve/simplify.
f(x)=x+2, g(x)=3x+4
(3x+4)+2
3x+6
An art teacher buys 9 bags of cotton balls. There are 68 cotton balls in each bag.
Which expression is best to estimate the number of cotton balls the teacher
buys?
9+70
9*60
9*70
9+60
Answer:
9*70
Step-by-step explanation:
It is not 9+70 or 9+60 because for this problem multiplication is required.
This problem seems to want you to round to the nearest ten's place. Because the one's place in 68 is above 5, the number will round up.
This means that the answer will be 9*70
Answer:
9*70
Step-by-step explanation:
Rebecca earns $6.25 per hour working after school. She needs at least $125.00 if she wants to buy a new bicycle. Which inequality shows the solution to how many hours Rebecca must work to earn the money for the bicycle? Let h equal the number of hours Rebecca must work.
Answer: the answer is in the steps.
Step-by-step explanation:
6.25h ≤ 125.00
A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk the cow gives, and x is the number of pounds of grass it eats.
Answer:y=2.5 x
Step-by-step explanation:
Given
Cow give 5 gallon of milk if it eats 2 pound of grass
i.e. it gives 2.5 gallon of milk if it eats 1 pound of grass
So we can say cow given 2.5 times of milk in gallon for each pound it eats
If cow eats x pounds of grass then it must yield 2.5 times of milk
Suppose milk is denoted by y
therefore we can write
y=2.5 x
Therefore y=2.5 x represent the relation between grass and milk produced
PLZ HELP MATH!
ASAP MANY POINTS REWARDED!
Answer:
Isosceles
Step-by-step explanation:
Two sides are equal to each other and not the same length as the other side, so it'd be an isosceles triangle.
Please please thank you
Answer:
option 2
452.16
You would need to use this equation...
V=πr²h
3.14 * (4)² * 9
= 452.16 cm³