We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:
54 ÷ 6 + 3² = 4 + 4²
We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.
1) 62 − 22 = 4 + 7⋅22
We just solve each side, we will get:
40 = 158
This is not a true equation.
2) 54 ÷ 6 + 3² = 4 + 4²
9 + 9 = 4 + 16
18 = 18
This is a true equation.
3) 8042 = 10 − 22 − 1
Clearly, this is not a true equation.
4) 19 − 2⋅5 = 9⋅73 −9
19 - 10 = 657 - 9
9 = 648
This is not a true equation.
Then the only true equation is the second one:
54 ÷ 6 + 3² = 4 + 4²
If you want to learn more, you can read:
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What is the measure of angle n°?
Select the correct answer.
if g(x) = f(1/3x) which statement is true?
OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.
ОВ. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.
oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.
Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g.
Answer:
D
Step-by-step explanation:
It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.
The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Let us take the function g(x) as f(1/3 x).
This means that g(x) takes the value of f at 1/3 of x's value.
If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.
When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.
This is because every point on the graph of f now has 1/3 of its original x-coordinate.
The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).
The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.
Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
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Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?
Answer:
Yes
Step-by-step explanation:
Because it’s a trapezoid and those can be trapezoid because they have one pair of parallel sides and a parallelogram has two pairs of parallel sides so a parallelogram is also a trapezoid.
Factor
10x + 100x + 250
a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails
If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246
So the probability of that is 24,6 %
Good Luck
To factor f2 + 6f + 9, find the factor of 9 with both positive signs and whose sum is ____
I need help..
What angle is congruent to ∠C?
Step-by-step explanation:
Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.
Make x the subject of the formula x + t = q
Answer:
x = t - q
Step-by-step explanation:
because to make q, you need to add x and t
so to make x the subject, you should subtract q
Example
x + t = q
t = 7
q = 36
x = t - q
36 -7 = 29
x = 29
The temperature was -16 degrees at noon. By 2:00 PM it dropped to 10 Degrees. What was the temperature at 2:00 Pm
Solve
2^3n-4>0
...................
Answer:
2^3n-4>0 4
Step-by-step explanation:
brainlies me plsss
22% of what number is 24.2
Answer:110
Step-by-step explanation:
24.2/x = 22/100
Where x is the number we are looking for
cross multiply
24.2*100 = 2420
22*x=22x
22x=2420
22x/22=2420/22
x= 110
so 24.2 is 22% of 110
Answer:
If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change.
Step-by-step explanation:
If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change Multiply a number by the fraction 100/100, and its value doesn't change.
The price of oranges is proportional to the number of oranges if
One orange costs 1200 Rs. Find:
A. The price of 12 oranges.
B. The amount of oranges that cost 32,000 Rs.
#1
Cost of 1orange=1200
Cost of 12 oranges:-
[tex]\\ \sf\longmapsto 1200(12)=14400[/tex]
#2
Total cost=32000Cost of one orange=1200Total oranges
[tex]\\ \sf\longmapsto 32000\div 1200[/tex]
[tex]\\ \sf\longmapsto 2666.6[/tex]
[tex]\\ \sf\longmapsto 2667[/tex]
find the proabilty of rolling factors of 5 on both sides.
it takes an ant farm 3 days to consume 1/2 of an apple. At that rate in how many days will the ant farm consume 3 apples
Answer:
18 days
Step-by-step explanation:
1/2 apple = 3 days
3 apples = 18 days
Beth,nina, Juan,Lucy and Abdul love fruit. all of them exept lucy and Nina love mangos. only the girls like watermelon. all of the apart from abdul and beth like papayas. only abdul, juan and nina like pears. only juan and lucy do not like pineapple. everyone wirh an a in their name likes cherries. who likes the largest variety of fruit ?
Answer:
The answer would be Nina
Step-by-step explanation:
beth- likes mangos, watermelon, and pineapple
nina- likes watermelon, papayas, pears, pineapple and cherries
juan- likes mangos, papayas and pears
lucy likes watermelon and papayas
abdul- likes mangos, pears and pineapples
( nina has the most amount of fruit liked between everyone else)
so the answer has to be Nina.
Directions:
It’s easy for people to get stuck in their own minds or their own worlds instead of seeing the perspectives of others. Take a moment to consider the perspective of the characters listed. Choose one character. Write a short paragraph to explain the perspective of that character by putting yourself “in their shoes.” Consider these questions:
What might be his or her struggles?
How does the character see the world around himself or herself?
What decisions would you make if you were in the character’s place?
Be sure to use specific examples or textual evidence from research, the readings in this class, or your own experiences and knowledge.
Prompt:
Topic 1: Perspective of Montresor in “The Cask of Amontillado”
Topic 2: Perspective of Princess Irene in The Princess and the Goblin, Chapter 14
Answer: Montresor struggles with anger, and grudges. Montresor feels remorse at the end but excuses it as the dampness of the catacombs.
He sees the world without justice and sees to make justice for himself. In the story he talks about the misgivings and insults he receives from fortunato. He takes vengeance against him.
(haven´t read book based off summary) Princess Irene shares a friendship that is strong. I infer this based off the trust and bonding they share in the book. She struggles against goblins.
Step-by-step explanation: I really hope this helps havent read the books in a long time.!!
36 x 1/9, show work please !
Answer:
4 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
39 × [tex]\frac{1}{9}[/tex]
39 times 1 is 39
39/9 is 4.33333333 Which is also, 4 [tex]\frac{1}{3}[/tex]
4,505 in expanded form
can someone pls help me with this
Answer:
were is the qn?
Step-by-step explanation:
ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS
You didn't really describe what we're supposed to do, but I'm going to assume they want you to graph it.
The first equation has a slope of 3/5x, meaning that for every 3 units it moves upwards, it moves right 5 units. It has a y-intercept of 8, meaning that the line will cross through (0, 8) on the coordinate plane. Start your point on (0, 8) and draw a line that goes up 3 units and 5 units.
The second equation has a slope of -4/5x, meaning that for every 4 units it moves upwards, it moves left 5 units OR for every 4 units it moves down it moves 5 units right. The y-intercept is 1, so the line will go through (0, 1). Start your point on (0, 1), and draw a line that follows the slope, just like last time.
If this is all correct and the best answer, please give me brainliest as I'm trying to rank up. Thanks!
A family drove to a resort at an average speed of 30 mph and later returned over the same road at an average speed of 50 mph. Find the distance to the resort if the total driving time was 8 hours.
Answer:
150 Miles
Step-by-step explanation:
Let's say it takes x time to get there.
X x 30=(8 - 6) x 50 (The distance is the same)
30X=400 - 50X=7 X=5 hours.
So the distance is 5 x 30=150 miles.
Solve the equation below 2(t+4)=7+5(t-4)
Answer:
t= 7
Step-by-step explanation:
2(t +4)= 7 +5(t -4)
Expand:
2t +2(4)= 7 +5t +5(-4)
2t +8= 7 +5t -20
2t +8= 5t -13
Bring constants to one side, t terms to the other:
5t -2t= 13 +8
Simplify:
3t= 21
Divide both sides by 3:
t= 21 ÷3
t= 7
Find the value of 2cosx+1=0;0 less than x less than 360°
Answer:
120°; 240°
Step-by-step explanation:
Let's first solve for [tex]cosx[/tex]: [tex]2cosx=-1 \rightarrow cosx=-\frac12[/tex] At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is [tex]-\frac12[/tex] on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.
5.
The perimeter of a regular octagon is 88 cm.
a) Write an equation you can solve to find the side length of the octagon.
b) Solve the equation.
Answer: a) side length = perimeter ÷ 8
b) 11cm
Step-by-step explanation:
side length = the perimeter ÷ 8( there are 8 sides in an octagon)
= 88 ÷ 8
= 11cm
hope u understand
Doug digs a hole that is 1.7 feet below ground level. He plants a bush that is 3 7/10 feet tall from the bottom of the root to the top branch. how much of the Bush is above the ground? (help this assignment is apart of my grade!)
Answer:
2 feet
Step-by-step explanation:
37/10 - 1.7
3.7 - 1.7
2.0
= 2 feet
PLEASE HELPPPPPPPPPPPPPPPP!!!
Answer:
6 years
Step-by-step explanation:
5% of 1000 is 50
1. $1050
2. $1100
3. $1150
4. $1200
5. $1250
6. $1300
how do I become good at fortine
Answer:
practice.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Answer:
umm work harder I guess -,-
Step-by-step explanation:
If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?
A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.
Answer:
Step-by-step explanation:
Correct answer:
3√3
Explanation:
General formula for the diagonal of a cube if each side of the cube = s
Use Pythagorean Theorem to get the diagonal across the base:
s2 + s2 = h2
And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:
h2 + s2 = d2
s2 + s2 + s2 = d2
3 * s2 = d2
d = √ (3 * s2) = s √3
So, if s = 3 then the answer is 3√3
simplify (5 cubed)to the power of 6 leaving your answer in index form
Answer:
I got up to 25 to the power of 6
Step-by-step explanation:
5 cubed is 25, Hope this leads you in the right direction
Find the median of the first 13 natural numbers
Answer
116.4k+ views
Hint: We will write the first ten odd natural numbers and then add them to find their sum. We will then substitute the values in the formula of arithmetic mean , a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.
Complete step-by-step answer:
We have to find the arithmetic mean of first ten odd natural numbers .
Natural numbers are counting numbers and starts from 1.
Odd numbers are not multiples of 2.
The first ten odd natural numbers are 1,3,5,7,9,11,13,15,17,19.
Arithmetic mean is calculated by adding all the observations by the total number of observations.
Arithmetic mean is given by a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.
Therefore, we will calculate the sum of the first ten odd natural numbers.
⇒1+3+5+7+9+11+13+15+17+19⇒100
Now, we will divide this by 10 as there are a total 10 numbers.
10010=10
Hence, the arithmetic mean of first ten odd natural numbers is 10.
Note: Arithmetic mean is also known as average or simply mean. Odd numbers are not divisible by 2. The sum of n odd natural numbers is also given by n2