Answer:
3
Step-by-step explanation:
81/(-9)/(-3)=3
The number 3 is prime number.
4. Which of the following is true based on the congruence statement triangle △SUN≈ △FOG
Based on the congruence statement triangle △SUN ≈ △FOG, the true statement is SU is Congruent to side FO.
Congruence of the triangle:
Two triangles are said to be congruent if one can be placed over the other so that they coincide (fit together). This means that congruent triangles are exact copies of each other and when fitted together the sides and angles which coincide, called corresponding sides and angles, are equal.
For example,
△ABC ≈ △DEF
then,
Side AB corresponds to DE,BC corresponds to EF , and AC corresponds to DF .
Given,
The congruence statement triangle
△SUN ≈ △FOG
Based on the congruence of the triangle rule,
Here the option
SU is Congruent to side FO.
is the correct option.
To know more about Congruence of the triangle here.
https://brainly.com/question/20521780
#SPJ1
Determine the solutions of the equation:
Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21.
x = −11 and x = 5
x = −81 and x = 45
x = −99 and x = 45. <<<< THIS IS IT
x = −99 and x = 99
PLEASE HELP!!!
The solutions to the absolute value equation given by the word phrase; Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21 are; x = −99 and x = 45.
What are the solutions of the absolute value equation as given in the task content?It follows from the task content that the solutions to the absolute value equations as given by the word phrase are to be determined.
Given;
| (1/3)x + 9 | - 3 = 21
Add 3 to both sides;
| (1/3)x + 9 | = 24
Hence, the result equations are; (1/3)x + 9 = 24 OR (1/3)x + 9 = -24.
Therefore, we have;
(1/3)x + 9 = 24
(1/3)x = 24 - 9
(1/3)x = 15
x = 45.
Also, considering the other equation;
(1/3)x + 9 = -24
Subtract 3 from both sides;
(1/3)x = -33
Multiply both sides by 3;
x = -99.
Ultimately, the solutions of the equation are;
x = −99 and x = 45.
Therefore, the solutions to the absolute value equation given by the word phrase; Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21 are; x = −99 and x = 45.
Read more on solutions of absolute value equations;
https://brainly.com/question/27586979
#SPJ1
Complete the following proof.
Given: y+2 /3=3
Prove: y=7
Proof:
b. Statement: 3(y+2 / 3)=3(3) Reason: ____________
Using the multiplication and the subtraction property, we can prove that the value of y in the equation given is: 7. (see proof below).
How to Solve an Equation?Given the equation, y + 2/3 = 3, to prove that y = 7, we have to solve the given equation in other to find the value of y which must be equal to 7.
(y + 2)/3 = 3 [given]
3 × (y + 2)/3 = 3 × 3 [multiplication property of equality]
y + 2 = 9
y + 2 - 2 = 9 - 2 [subtraction property of equality]
y = 7
Thus, using the multiplication and the subtraction property, we can prove that the value of y in the equation given is: 7.
Learn more about equation on:
https://brainly.com/question/25678139
#SPJ1
To enter an arcade, Linus has to pay a $5 fee. In addition, every arcade game costs an additional $0.25 to play one round. The relationship between the amount of Linus' money spent, or C, and the number of rounds of arcade games played, or r, can be modeled by the equation C=0.25r+5.
The amount of Linus's money spent on 200 rounds of arcade game is $55.
The given question is incomplete, so
Lets suppose that Linus has played 200 round of arcade game and now we will need to determine the amount of Linus's money spent on 200 rounds of arcade game.
Entrance fee of an arcade = $5
Additional cost to play one round = $0.25
With the help of given equation ( C=0.25r+5 ) we will determine the amount of Linus's money spent on 200 rounds of arcade game.
'C' = The relationship between the amount of Linus' money spent
'r' = The number of rounds of arcade games played
Let's solve the equation now,
As we know that r is number of rounds Linus has played which is 200 rounds.
So, C = 0.25r+5
C = 0.25 × 200 + 5
C = 50 + 5
C = $55
Hence, we got that Linus has spent total $55 on 200 rounds of arcade game.
To learn more about this Patterned Question visit : https://brainly.com/question/23082667
#SPJ9
25 points plus brainliest
Answer:
3
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other
so negative reciprocal of -1/3 is 3
If F(x) = 5x-7 and G(x)=√x +13, what is F(G(x)) ?
Answer:
5x - 7 ( √ x + 13)
5x√x + 65x - 7√x -91
√3 (5x - 7) +13 (5x - 7)
(5x - 7) (√3 + 13)
5x(√3 + 13) -7
Drag each label to the correct location on the image.
Find the sum of each pair of rational numbers. plelz help
The addition of the given fractions are;
1) -3³/₅ + -1¹/₅
= -4⁴/₅
2) (-3.5) + (-4)
= -7.5
3) 4.5 + (-3)
= 1.5
4) -5³/₅ + 3¹/₅
= - 2²/₅
How to add fractions?
1) We want to add the fractions as follows;
-3³/₅ + -1¹/₅
= -3³/₅ - 1¹/₅
= -18/5 - 6/5
= -24/5
= -4⁴/₅
2) (-3.5) + (-4)
= -3.5 - 4
= -7.5
3) 4.5 + (-3)
= 4.5 - 3
= 1.5
4) -5³/₅ + 3¹/₅
= -28/5 + 16/5
= - 2²/₅
Read more about Addition of fractions at; https://brainly.com/question/11562149
#SPJ1
Evaluate the expression [8(4)-4^2]+7(4)
Answer:
44
Step-by-step explanation:
big brain
Assessment
42. Marco goes on a recreational scuba diving
expedition. What is a possible diving depth for
his expedition?
A0 meters
B40 meters
400 meters
D-40 meters
O is between M and P, MO= x^2-3, OP=4x-1 and MP= 8x+1. Find length of each story segment.
MO=
OP=
MP=
MO=4-3=1
OP=8-1=7
MP=16+1=17
Given:
MO= [tex]x^2-3,[/tex]
OP=[tex]4x-1[/tex]
MP= 8x+1
O is the midpoint of MP so
MO=OP
[tex]x^2-3[/tex]=[tex]4x-1[/tex]
[tex]x^2-4x-4=0[/tex]
[tex]X^2-2x-2x-4=0\\x(x-2)-2(x-2)\\(x-2)(x-2)\\x=2[/tex]
MO=4-3=1
OP=8-1=7
MP=16+1=17
A line segment's midpoint is a point that is halfway between two points. The midpoint is the same distance between the two ends.
This calculator can be used to find the midpoint, the distance between two points, or an endpoint given the midpoint and the other endpoint. Solutions for Midpoint and Endpoint Calculators
Enter two points in the form of numbers, fractions, mixed numbers, or decimals. The midpoint calculator displays the work to be done:
midpoint of two given points
To learn more about Line Segment from the given link:
https://brainly.com/question/25727583
#SPJ9
differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are .
The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
What is statistical significance?Statistical significance can be used to determine whether a result is more likely the consequence of chance or an important element.Significant results simply imply that you can be sure they are true rather than that you were fortunate (or unfortunate) in the sample you used.Now,
It can be presumed that the test mentioned is the t-test since it uses two samples. A t-t-value, test's which it generates, is what determines its statistical significance. The likelihood that a difference is statistically significant increases with increasing t-value. By dividing the mean difference between two samples by the square root of the sum of the variances of each sample, then by the size of each sample, one may determine the t-value.The likelihood that the difference between two means is statistically significant therefore increases if:a significant mean difference;the samples are substantial;The samples' standard deviations are lower.Hence, The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
To learn more about statistical significance, refer to the link: brainly.com/question/15848236
#SPJ4
Which ratios are equivalent to 8:12
Answer:
Step-by-step explanation:
2:3
Answer:
2:3.
Step-by-step explanation:
If you turn 8:12 into a fraction (8/12), then make it simplest form, it would be 2/3.
2/3 as a ratio is 2:3. Therefore, 2:3 is equivalent to 8:12.
Help please I will give brainliest
Answer:
Option #1, #4 & #5
Step-by-step explanation:
It's rise over run which is y-axis/intercept (up and down) over x-axis/intercept (left or right).
Hope this helps.
Geologic time is divided into units based upon evidence from
Answer:
Fossils
Step-by-step explanation:
Hope this helps.
use the given values to complete the table create quantities proportional to each other and graph them what's the answer?
Answer:
u need to make a more cleat picture and make it straight please so i can answer
Step-by-step explanation:
Kerry paid $8 for his admission ticket to the fair and bought 14 ride tickets.
He spent a total of $43 on admission and ride tickets. Write and solve an
equation to find the cost of one ride ticket. Put the cost of one ticket in the
answer space.
Answer: answer is 4 multiplied by eleven minus one is fourty three
Step-by-step explanation:
find a vector a with representation given by the directed line segment ab−→−, where a(−6,0,1) and b(1,6,−2) .
vector representation of the given vectors will be AB(5,6,-3).
What is vector, explain by giving example?A quantity or phenomena with independent qualities for both size and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
The vector representation will be -
A(x1,x2,x3), B(x1,x2,x3) so, AB will be - (x2 - x1, y2 - y1, z2 - z1)
So, given,
A(−6,0,1)
B(1,6,−2)
AB(1+6, 6-0, -2-1)
AB (5,6,-3)
To learn more about vector representation from given link
https://brainly.com/question/14409307
#SPJ4
Jean makes a 15% commission on any clothing that she sells. Jean sold $50.00 worth of clothes to a customer. How much was her commission?
Answer:
$7.50
Step-by-step explanation:
15% of $50 is 7.50, so she or he made $7.50 from that piece of clothing
Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+by=mx+b.
xx yy
11 1111
22 2222
33 3333
Answer:
gjj uijh
Step-by-step explanation:
Was lulu related to the cubs? cite three (3) pieces of specific evidence here to support your answer:
Yes, Lulu was associated to one of the cubs. Cub #711 because It was discovered it in data set 5 for her parentage.
Why is genetics needed for lion research?They discovered that there is evident genetic evidence of current population fragmentation, which occurs when teams of a species are isolated from each other, by trying to compare the DNA of lions presently to lions from 100 years ago.
This fragmentation could have a long-term effect on the iconic species' genetic health.
What were the advantages for Lulu (#630) in raising the cubs who were not hers?Raising the children together has an evolutionary advantage because it makes sure that Lulu's genetic data is passed down.
Because her cub is one of many, there is safety in numbers.
To know more about the genetics, here
https://brainly.com/question/14926046
#SPJ4
Solve the system by substitution or elimination
y= 2x + 8
y= 3x - 1
Answer: x=9, y=26 (9,26)
How do make a pbandj.
Answer:
Bread, Peanut Butter and jelly
Step-by-step explanation:
Take the bread lay it out grab a spoon and smooth the ingredients on the sandwich bread.
Joseph had the following scores for a four-day tournament. day: 1, 2, 3, 4 score : -1 ,2, -2, -3 what was his total score for the tournament? write your answer as an integer.
The total score of Joseph for four days of the tournament is -4 .
Joseph had the following scores for a four-day tournament,
For the first day i.e., day 1 of the tournament the total score is -1 . For the second day i.e., day 2 of the tournament the total score is 2 . For the third day i.e., day 3 of the tournament the total score is -2 . For the fourth day i.e., day 2 of the tournament the total score is -3 .
To calculate the total score of four days of the tournament we need to add the score of first, second, third and fourth day.
The total score of four days of the tournament = ( -1 ) + ( 2 ) + ( -2 ) + ( -3 )
The total score of four days of the tournament = -4
The total score of Joseph for four days of the tournament is -4 .
To know more about Addition refer to the link:
https://brainly.com/question/24536701
#SPJ4
3x, 4x-2 solve for x
Answer: x=2
Step-by-step explanation:
3x=4x-2
3x-4x=4x-4x-2
-x=-2
x=2
you are leaving for a concert that starts in 5 hours and is 305 miles from your house. what average speed (in miles per hour) would allow you to arrive at the concert on time? miles per hour school starts in 37 minutes and you live 17 miles from school. what average speed (in miles per hour) would allow you to arrive at school on time? miles per hour
The average speed required to reach the concert in time is 61 miles per hour.
The average speed required to reach school in time is 27.567 miles per hour.
What is the average speed?
The average speed of an object is defined as the total distance travelled by an object in a particular interval of time or average time. Mathematically, average speed = total distance / total time taken. Its SI unit is m/s.
Calculation of the average speed
We are given that a concert starts in 5 hours and is 305 miles away from the house, i.e. time = 5 hours and distance 305 miles
Then the average speed in miles per hour is given by total distance / total time
Average speed = 305 / 5
= 61 miles per hour
Further, the time taken to reach school is 37 minutes which when converted to hours becomes 37 / 60 hour
The distance between school and home is 17 miles
So, the average speed = total distance / total time
= 17 / (37 / 60)
= (17 × 60) / 37
= 27.567 miles per hour
Hence, the average speed required to reach the concert in time is 61 miles per hour.
The average speed required to reach school in time is 27.567 miles per hour.
To learn more about the average speed, visit here:
https://brainly.com/question/18102135
#SPJ4
Only 5/8 of the class completed 1/2 of their homework. What is the rate of the homework per class?
What is the value of x if e squared 3x+6=8
Step-by-step explanation:
there is explanation in the answer
Use the equation below to answer correctly fill in the blanks.
y = 3x + 2
Since linear lines are represented by the equation y = mx + b, I know that the slope (m) is
. The b value is
. This means the line is
3 to each figure when the starting value is
.
Answer:
this is sure confusing to me
Solve the following system of equations graphically. Select the graph that shows the correct solution of the system.
x + y = 2
x = 1
Answer:
First one
Step-by-step explanation:
rearrange x + y = 2 in the form y = mx + c
y = -1x + 2
means gradient is -1 and y-intercept is 2. such line is shown in the first graph
see where x = 1 and draw a straight line. Such line is also only shown in the first graph.
it should be the first graph
Evaluate ab 0.5b when a = 1 and b = 5.
Answer:
Step-by-step explanation:
Calculate the formula weights.
mass of
1
mole of
a
b
⋅
(
0.5
b
)
=
0
g