Answer:
Subtract the biggest number and smallest number to get range
Step-by-step explanation:
Answer:
to find it, first order the data from least to greatest. then subtract the smallest value in the set.
Step-by-step explanation:
mathgoodies.com
Help with these twoo
Answer:
g(N)=3 + 7n
80 = 3 + 7n
move the variable to the left hand side so
80 - 7n = 3
now do 3 - 80 to get -7n = -77
now divide both sides by -7 to get
n=11
2nd
p(x) = 4x
6= 4x
so swap the equations so its
4x = 6
next divide both sides by 4
x = 3/2 or 1.5
Step-by-step explanation:
you guys know the drill,
Triangle ABC has side lengths of 2 cm, 4 cm and 5 cm. Triangle DEF has side lengths of 6 cm, 11cm, and 20 cm. Can triangle ABC and triangle DEF be dilations of each other? Explain.
Answer:
No because they are not proportional. 2•3=6 but 4•3 does not equal 11.
For the function f(x) = x23, the average rate of change to the nearest hundredth over the interval 2 d x d 4 is
Given:
Consider the function is:
[tex]f(x)=\dfrac{x^2}{3}[/tex]
To find:
The average rate of change over the interval 2 ≤ x ≤ 4.
Solution:
We have,
[tex]f(x)=\dfrac{x^2}{3}[/tex]
At [tex]x=2[/tex],
[tex]f(2)=\dfrac{2^2}{3}[/tex]
[tex]f(2)=\dfrac{4}{3}[/tex]
At [tex]x=4[/tex],
[tex]f(4)=\dfrac{4^2}{3}[/tex]
[tex]f(4)=\dfrac{16}{3}[/tex]
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
So, the average rate of change over the interval 2 ≤ x ≤ 4 is:
[tex]m=\dfrac{f(4)-f(2)}{4-2}[/tex]
[tex]m=\dfrac{\dfrac{16}{3}-\dfrac{4}{3}}{2}[/tex]
[tex]m=\dfrac{\dfrac{16-4}{3}}{2}[/tex]
On further simplification, we get
[tex]m=\dfrac{12}{3\times 2}[/tex]
[tex]m=\dfrac{12}{6}[/tex]
[tex]m=2[/tex]
Therefore, the average rate of change over the interval 2 ≤ x ≤ 4 is 2.
I need help with basic geometry please help !
Answer:
Step-by-step explanation:
take 50 degree as reference angle
using sin rule
sin 50 = opposite/hypotenuse
0.766 = x /3
0.766*3 = x
2.298 = x
2.30 = x
What point has coordinates of (-5,-2)
Point C has the coordinates: (-5, -2)
Answer:
c
Step-by-step explanation:
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store.
Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery
Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
Who reaches the store first? By how much time (in hours)? Round to the nearest hundredth if
needed.
Answer:
Susie reaches the store first being ahead by 0.06 hours.
Step-by-step explanation:
20 miles going 45 miles/hour.
20 miles / (45 miles / hour) = 20 miles hours / 45 miles =
= 20 hours / 45 = 4/9 hours = 0.44 hours
25 miles going 50 miles/hour.
25 miles / (50 miles / hour) = 25 miles hours / 50 miles =
= 25 hours / 50 = 1/2 hours = 0.5 hours
So Susie needs less time (= arrives first).
the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours
as additional practice :
0.06 hours is 60 × 0.06 minutes.
60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.
Pls help not sure how to answer
Answer:
i think its yz but not sure
Step-by-step explanation:
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
Height of Water in a Pool
Time
(min)
AN
Height
(in.)
8
12
16
20
24
o The height of the water increases 2 inches per
minute.
o The height of the water decreases 2 inches per
minute
O The height of the water was 2 inches before any
water was added
O The height of the water will be 2 inches when the
pool is filled
6
8
10
900Answer:900
Step-by-step explanation:
A rectangular lawn is yards by 26 yards. It would cost $6.00 per yard to install a fence around the lawn. How much would it cost to put a fence around the lawn?
what is the value of x? x+15=2x-40
Answer:
55 =x
Step-by-step explanation:
x+15=2x-40
Subtract x from each side
x-x+15=2x-x-40
15 = x-40
Add 40 to each side
15+40 = x-40+40
55 =x
Answer:
x = 55
Step-by-step explanation:
x+15=2x-40
take away x from both sides and add 40 on both sides to get the like terms on each side
55 = x
ILL GIVE BRAINLIEST!!
Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car A is 0.46, and the probability that she will purchase car B is 0.34. What is the probability that she will not purchase either car A or car B? (1 point)
The total of the two cars is 0.46 + 0.34 = 0.8
The total of all probabilities needs to equal 1
The probability of not buying either car is 1 - the sum of the two probabilities
1-0.8 = 0.20
The probability of not buying either car is 0.20
Find the 100th and the nth term for each of the following sequences.
Here's an answer! Hope it's helpful!
answer plz plz plz plz plz
C. 270
Hope this helps! :)
Answer:
A.)90 degrees
Step-by-step explanation:
If x + 7 = 10, then x =
Answer: x=3
Step-by-step explanation:
Subtract 7 from both sides to isolate x
[tex]x+7-7=10-7\\x=3[/tex]
PLEASE HELP ME PLS U WOULD BE A LIFE SAVER AND ILL GIVE U BRAINLY PLS
In a game of chance, players spin a pointer on the spinner with eight equal-sized sections.
The sample space is 1,1,2,3,3,4,5,5
What are the probabilities of each outcome in the sample space? ( write each answer in fraction form) p.s the answer is supposed to be more than one fraction.
Step-by-step explanation:
a) Since there are 2 #1 in the spinner, the probability of landing on a 1 is 2/8 or 1/4
b) Since there is only one #2, the probability is only 1/8.
c) Probability of landing on #3 is 2/8 or 1/4.
d) Probability of landing on a #4 is 1/8
e) Just like the case of #1 & #3, there are 2 chances out of eight that it will land on a #5 so the probability is 2/8 or 1/4
The coordinates of AB are A(2,3) and B(8,1) The perpendicular bisected of AB is CD and point C lies on AB the length of CD is 10 units
Answer:
The Coordinates of Point C are C(5,2)
The slope of CD is 3
The possible coordinates of point D(a,b) are (6, 5) and (4, -1)
Step-by-step explanation:
According to the Question,
Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.Now, Let The Coordinates of Point C are C( x , y ) .
Thus, C( x , y ) = [tex]\frac{(8+2)}{2} , \frac{(1+3)}{2}[/tex]The Coordinates of Point C are C( x , y ) = [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).
And, The slope of AB = [tex]\frac{(1-3)}{(8-2)}[/tex] ⇒ [tex]\frac{-2}{6}[/tex] ⇔ [tex]\frac{-1}{3}[/tex] .Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex] = [tex]\frac{-1}{\frac{-1}{3} }[/tex] ⇔ 3.
Let the coordinate of D be (a, b) then⇒ √{ (b - 2)² +(a - 5)² } = √10
on squaring both sides we get,
⇒ a² - 10a + 25 + b² - 4b + 4 = 10
⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)
We Know, the slope of CD = 3⇒Thus, (b - 2)/(a - 5) = 3
⇒ b - 2 = 3a - 15
⇒ b = 3a - 13 ⇔⇔ (Equation 2)
Putting value of Equation 2 into Equation 1, We get⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19
⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19
⇒10a² - 100a + 240 = 0
⇒a² - 10a + 24 = 0
⇒(a - 4)(a - 6) = 0
⇒a = 4 or a = 6
Now,
When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).
NEED HELP ASAP !!!! SOMEONE HELP ME
Answer:
A
Step-by-step explanation:
cos(71)x19=6.1
6.1 =6
Answer:
ladder is 20 feet long.So answer is option c.
Step-by-step explanation:
let the length of a ladder be x
take 71 degree as reference angle
using sin rule
sin 71 =opposite/hypotenuse
0.94=19/x
x=19/0.94
x=20.21
x=20 feet
NEED THIS ASAP
I really need help
Please help meeee
Don’t need to explain
Answer:
152 cups were ordered.
Step-by-step explanation:
Let the number of small size cups = x
And the number of medium size cups = y
Total number of cups used = 63
Therefore, first equation will be,
x + y = 63 -------(1)
Brewers emptied = 147 oz
Quantity of coffee in a small cup = 8 oz
Total amount of coffee in small cups = 8x
Quantity of coffee in a medium cup = 12 oz
Total amount of coffee in medium cups = 12y
Therefore, second equation will be,
8x + 12y = 147 -------(2)
Multiply equation (1) with 12 and subtract is from equation (2)
(8x + 12y) - (12x + 12y) = 147 - 756
-4x = -609
x = 152.25
Therefore, 152 cups of small size coffee were ordered.
A toy store's percent of markup is 45%. A model train costs the store $50. Find the
markup.
Answer:
$22.50
Step-by-step explanation:
Answer:
$95 is the markup
Step-by-step explanation:
Add 45+50=95
PLEASEEEE HELP!!!!!!!!!!!
Question 6
In the diagram, line I and line m are parallel, m24 = 7x + 5 and m25 = 5x + 27. Solve for x.
7
1
2
4
3
8
5
7
7
6
А A
x = 5
B
X = 11
С
x = 13
D
X = 14
Answer:
x=11
Step-by-step explanation:
this would now be...
7x+5=5x+27
collect like terms
7x-5x=27-5
2x=22
make x the subject of the formula
x=22/2
x=11
its urgent please help ASAP ty!!
Answer:
the answer choices oh uhm I think i
What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?
[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{1}{2} + \frac{1}{3} [/tex]
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.
The L. C. M for 2 and 3 is 6.
Now, multiply the L.C.M. with both numerator & denominator.
[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]
[tex]= \frac{3}{6} + \frac{2}{6} [/tex]
Now that the denominators are equal, we can add them.
[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Which number is between
Answer:
D
Step-by-step explanation:
7.17 x 10(4) = 71,700
8.17 x 10(5) = 817,000
Any numbers between 71,700 and 817,000 is obv the answer
I did the math
A 69,200
B 7,200,000,000
C 7,570
D 80,530
Pretty obv that D be the only one that is inbetween 71,700-817,000
(excuse my spelling pls)
square root of 44,100 by division
210 IS THE POSSIBLE ANSWER
Answer have to be units please and thank you
If the quadratic equation has the form y = ax 2and y = ax 2+ c, then their axis of symmetry must always be?
9514 1404 393
Answer:
x = 0
Step-by-step explanation:
When there is no linear term in the equation, the axis of symmetry is x=0.
__
The values 'a' and 'c' represent a vertical scale factor and a vertical translation, respectively. They do not change the axis of symmetry from that of the parent function, which is x=0.
Find the missing measurement in this parallelogram.
Can someone please help?????
I must show the work
Answer:
35º
Step-by-step explanation:
u = 180 - 145
u = 35
1. "is going"
Which principal part of the verb is used in the following sentence?
Eunice is going to the prom with Zeke.
A. past
B. present
C. past participle
D. present participle
Help me to do this question
Answer:
Step-by-step explanation:
1) Vertically opposite angles are equal.
x + 30 = 180 - 2x
Add '2x' to both sides
x + 30 +2x = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
x = 150/3
x = 50
2) Let the angle be x
It's complement angle = 90 - x
[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]
The angles are : 36 , 54
3) Let the angle be x
It's supplement = 180 - x
[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]
Angles are 30 , 150
4) Ratio = 7 : 3
The angles are = 7x , 3x
7x + 3x = 180
10x = 180
x = 180/10
x = 18
7x = 7 * 18 = 126
3x = 3 * 18 = 54
Angles are 126 , 54
1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.
Given: x + 30° and 180° - 2x are vertically opposite angles
⇒ x + 30° = 180° - 2x
⇒ 3x = 150°
⇒ x = 50°
2. Let the complement be : C
Given : The other angle is two third of its complement
[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]
Two angles are said to be Complementary if their sum is equal to 90°
[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]
[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]
[tex]\sf{\implies 5C = 270}[/tex]
[tex]\sf{\implies C = 54}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]
Answer: The size of the angle which is two third of its complement is 36°
3. Let the supplement be : S
Given : The other angle is one fifth of its supplement
[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]
Two angles are said to be Supplementary if their sum is equal to 180°
[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]
[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]
[tex]\sf{\implies 6S = 900}[/tex]
[tex]\sf{\implies S = 150}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]
Answer: The size of the angle which is one fifth of its supplement is 30°
4. Two supplementary angles are in the ratio 7 : 3
Let the supplementary angles be : 7S and 3S
Two angles are said to be Supplementary if their sum is equal to 180°
⇒ 7S + 3S = 180°
⇒ 10S = 180°
⇒ S = 18°
First Angle : 7S = (7 × 18) = 126°
Second Angle : 3S = (3 × 18) = 54°
