Answer:
x= 7
Step-by-step explanation:
Let the unknown number be x
[tex] {x}^{2} = 49[/tex]
Square root both sides
[tex] \sqrt{ {x}^{2} } = \sqrt{49} [/tex]
Simplify
[tex]x = 7[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
Let the number be 'x'
Create an equation
[tex] \sf{ {x}^{2} = 49}[/tex]
Squaring on both sides
[tex] \dashrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{49} }}[/tex]
[tex] \dashrightarrow {\sf{ \: x = 7}}[/tex]
Hope I helped!
Best regards!
if DF = 61 and EF = 18, find DE
The measure of length DE if DF = 61 and EF = 18 is 43
From the question, we are given the following measurement:
DF = 61
EF = 18
Required:
DE
Using the expression to find the measure of DE
DE + EF = DF
Substitute the given values
DE + 18 = 61
Subtract 18 from both sides
DE + 18 - 18 = 61 - 18
DE = 43
Hence the measure of DE is 43
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A = a+b+c/3 Solve for b this is a literal equation problem please show steps
Answer:
[tex]b=3A-a-c[/tex]
Step-by-step explanation:
[tex]$A=\frac{a+b+c}{3} $[/tex]
Multiply both sides by 3
[tex]$3A=a+b+c $[/tex]
Add [tex]-b-c[/tex] both sides
[tex]3A-a-c=b[/tex]
[tex]b=3A-a-c[/tex]
Find the distance between the points (7,-3)and (-5,-3)
Answer:
12
Step-by-step explanation:
Since we have to find the distance, look at each point. The Y-values of both points are the same, so we don't have to take that into consideration. Then, take the absolute value of an X-value subtracted from another X-value. This will lead you to get 12. We never get a negative number, since distance is a scalar value, one that does not include direction, which means no negative values in numerical terms.
The distance between two points (7,-3)and (-5,-3) is 12.16 units.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
The distance between the points (7,-3)and (-5,-3)
x₁=7, y₁=-5,x₂=-5 and y₂=-3
Now plug in these values in the distance formula
Distance=√(-5-7)²+(-3+5)²
=√(-12)²+(2)²
=√144+4
=√148=12.16
Hence, the distance between two points (7,-3)and (-5,-3) is 12.16 units.
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A cylinder has a radius of 7 cm and a height of 12 cm. Calculate the total surface area. (Take π = 22/7
Total surface area of cylinder :
[(22/7)(7)²] × 2 ( area for 2 circles )
+
[ 2(22/7)(7) ] ×12 ( circumference of circle × height )
=
836 cm²
i hope my solution helps :))
1. Pick a sport and name two categorical variables and two numerical variables
Answer:
Football
Categorical variables:
Type of game= Ball game
Governing body= Federation Internacionale de Football Association (FIFA)
Numerical Variables
Number of players in each team= 11
Number of teams involved= 2
Step-by-step explanation:
A categorical variable is data about a subject that tells its category, type or description. It answers the what, when, why, which, and where questions. The game of football is categorized as a ball game and the governing body that supervises it is FIFA. This answers the question of 'Which governing body supervises the game of football?
Numerical variables give details of a subject in terms of figures, or measurements. To answer the question of how many people play the game of football in each team, we state that there are 11 players and the number of teams that can play at the same time is 2.
what is a geometric sequence with a first term of 3/4 and a constant ratio of 4
Answer:
Below
Step-by-step explanation:
A geometric sequence is a sequence where you keep multiplying a term by the ratio to generate the next one.
The first term is 3/4
Let n0 = 3/4
The next term is n1.
To get n1 we must multiply n0 by the ratio 4.
● n1 = n0×4
This formula gives us the second term. We need a general one that can generate all the terms of the sequence.
Let S(n) be a term of this sequence.
To get n we have multiplied n0 (the first term) by 4 (the ratio) one or many times. Precisely, n times.
So:
● S(n )= n0 ×4^n
no is 3/4
● S(n)= (3/4) × 4^n
This formula generates any term from this geometric sequence. If you want to calculate the 77th term then just replace n with 77.
Answer:
Step-by-step explanation:
To find the next term, multiply the previous term by constant ratio
a₁ = 3/4
[tex]a_{2}=\frac{3}{4}*4=3*1 = 3\\[/tex]
a₃ = a₂ * constant ratio = 3 * 4 = 12
a₄ = a₃ * constant ratio = 12 *4 = 48
Geometric sequence :
3/4, 3,12, 48, 192,.......
The midpoint of MN is point P at (-4, 6). If point M is at (8, -2), what are the coordinates of point N?
O (-16, 14)
O (-10,5)
O (22)
O (6,2)
Answer:
N(- 16, 14 )
Step-by-step explanation:
Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ )
Use this formula and equate to the coordinates of the midpoint P
let the coordinates of N = (x, y ), then
[tex]\frac{1}{2}[/tex](8 + x ) = - 4 ( multiply both sides by 2 )
8 + x = - 8 ( subtract 8 from both sides )
x = - 16
[tex]\frac{1}{2}[/tex] (- 2 + y ) = 6 ( multiply both sides by 2 )
- 2 + y = 12 ( add 2 to both sides )
y = 14
Thus
coordinates of N = (- 16, 14 )
five states in a country have 4 star hotels. Assume the country has 50 states. (a) what fraction of the states can claim at least one four star hotel? (b) how many states do not have a four star hotel (c) write a fraction of states without a four star hotel
Part A:
Since five states have four-star hotels, only those five states can claim at least one four-star hotel and since there are 50 states, we can write this as 5/50 or 1/10.
Part B:
50 - 5 = 45 states don't have a four-star hotel.
Part C:
45/50 or 9/10 of the states do not have a four-star hotel.
Best of Luck!
Answer:
The fraction of states with a four-star hotel 9/10.
The number of states without a four-star hotel is 5
The fraction of states without a four-star hotel is 1/10
NOT 45.
Casey dug a cubical hole to bury a memory box as a time capsule. The volume of the dirt he removed is 729 cubic inches. How many inches deep is the hole?
Answer:
The hole is 9 inches deep
Step-by-step explanation:
Volume of a cubicle hole = a^3
Where a= side edge of the cube
Volume of dirt removed = 729 cubic inches
How many inches deep is the hole
Volume of a cubicle hole = a^3
729 = a^3
Find the cube root of both sides
3√729 = 3√ a^3
9 = a
a= 9 inches
The hole is 9 inches deep
Check:
9^3
=9 *9*9
= 729
I run at a constant pace, and it takes me 18 minutes to run to the store from my house. If the store is 2 miles away, and my friend's house is 1 mile away from my house, how many minutes will it take me to run from my house to my friend's house?
Answer:
9 minutes
Step-by-step explanation:
if the store is 2 miles, and your friends house is 1, and you run at a constant pace both times, youre dividing the time in half
18 divided by 2 = 9
Answer:
10 minutes
Step-by-step explanation:
What’s the value of f(5)?
Answer:
f(5) = 25
Step-by-step explanation:
f(x) = 3x + 10
f(5) = 3(5) + 10
f(5) = 15 + 10
f(5) = 25
Answer:
f(5) = 25
Step-by-step explanation:
f(x) = 3x + 10
Let x = 5
f(5) = 3*5+10
= 15+10
= 25
What conditions would determine whether or not two numbers' GCF is equal to one of the original numbers?
Step-by-step explanation:
GCF is literally abbreviated to "Greatest Common Factor". In order for two numbers to have the same GCF they must have a number that they both could be multiplied by.
I also suggest using a factor tree. Super useful when figuring out the rest of the common factors.
(love ur picture of aang btw)
If l||m and m∠6 = 4x - 15 and m∠7 = x + 30, then m∠6 = 15 35 39 45
Answer: 45
Step-by-step explanation:
4x-15 = x+30
3x = 45
x = 15
Then plug 15 into the equation to get the answer of 45.
The difference of two numbers is 28. If one number is 11, find the other number
Answer:
39
Step-by-step explanation:
28 + 11 = x
39 = x
Check your answer:
39 - 11 = 28
28 = 28
Answer:
28 this is because it's the expression of salad
Please Help A Dude
And sorry for the sucky pic
Answer:
B
Step-by-step explanation:
by a rule of angles in parallel lines we have that
angle 4 + angle 5 =180
so we have
(3x+15)+(2x-10)=180
(3+2)x+(15-10)=180
5x+5=180
5(x+1)=180
x+1=36
x=36-1
x=35
Answer:
B. 35
Step-by-step explanation:
<4 and <5 are supplementary angles and their sum is = 180°
3x + 15 + 2x - 10 = 180 add like terms
5x + 5 = 180
5x = 175
x = 35
Complex Numbers
Subtract.
7-(-6+3i)-(-3-i)
Fourteen more than three times a number is the
same as ten less than six times the number. Write
an equation for this situation and then find the
number.
Answer:
14+3*x = 10-6*x
Step-by-step explanation:fourteen more means 14+ 3 times a number means 3 multiplied by a number x is the number of your choice and 10 less means 10 - and 6 times the number means 6*x
What are the
coordinates of the
midpoint of XY with
endpoints X(-2,-6) and
Y(3,10)? (9,-6)
Answer:
Step-by-step explanation:
(-2+3)/2 = 1/2
(10 + (-6))/2 = 4/2 = 2
(0.5, 2) are the coordinates of midpoint XY
I WILL GIVE BRAINILEST!!! Elvira is interested in collecting data about how many students use each of the tables during each lunch period. She has recorded some data on Post-It Notes to analyze later. Here are the notes she has recorded: ● Some students are sitting at the front table. (I got distracted by an incident in the back of the lunchroom,and forgot to record how many students.) ● Each of the students at the front table has been joined by a friend, doubling the number of students at the table. ● Four more students have just taken seats with the students at the front table. ● The students at the front table separated into three equal-sized groups. One group remained and all the other students left. ● As the lunch period ends, there are still 12 students seated at the front table. a) Create an equation and solve it to answer the above question. b) If the bullet points were in a different order, would the equation and answer still be the same? Use an example to help explain your answer.
Answer:
yes
Step-by-step explanation:
2 plus 2 is 4
Simplify using order of operations: 10/2+3+6+3/3
Answer:
15
Step-by-step explanation:
10/2 + 3 + 6 + 3/3
= 5 + 3 + 6 + 1
= 15
15 is the answer.
(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?
5 units
6 units
10 units
25 units
The line segments are translated 2 units to the left to form J'K' and M'N'. Which statement describes J'K' and M'N'?
Line segments J'K' and M'N' do not intersect and are closer together than JK and MN.
Line segments J'K' and M'N' intersect at (−2, 0) and are two times farther apart than JK and MN.
Line segments J'K' and M'N' intersect at (0, −2) and are two times closer together than JK and MN.
Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.
Answer:
The answer is "Option a and Option d".
Step-by-step explanation:
In the given-question, the numbering of the choices was missing so, we define the number after that we define its explanation:
In question 1, the translations were only the axis, which moves in the length of a segment, that doesn't change. Even so, the graph shifts only by growth, that's why the E'F 'duration will be the same as the EF length, which equals to "5 units".
In question 2, both JK and MN shifts to the left two units, and there would be no difference throughout the space between them, that's why the choice "d" will be correct.
The calculator has a broken 1 key and broken 7 key ,and a broken plus key .Write at least on way to make each of the following numbers 17,41,71,.
which is the net for the figure shown
The radius of a circle is 3 meters. What is the circle's circumference?
r=3 m
Use 3.14 for .
Hi. im kinda stuck on this question.
Any help would be appreciated.
Find the operation used in solving the question and answer the questions that follow .
Answer:
26)11
27)5
28)20
hope this helps :)
Answer:
The addition sign is adding on 4 to the problem
Step-by-step explanation:
Take the first on for example
8+2=14
8+2=10
The + would add 4 to the problem :)
Jane drew a point A located at (-2,-3) and point C located at (8,-3). What is the x-coordinate of point B that bisects? AC
Answer:
x equals 3
(-2, -3) and (8, -3) the middle of the x coordinate is 3
?????? help pls lolll
Answer is -9
Multiplying by 1/4 is the same as dividing by 4
-36(1/4) = -36/4 = -9
View an Example Mulder and Scully are driving to the same town. Mulder leaves the office at :30 a.m. averaging mph. Scully leaves at :00 a.m., following the same path and averaging mph. At what time will Scully catch up with Mulder?
Complete question :
Mulder and Scully are driving to the same town. Mulder leaves the office at 9:30 a.m. averaging 51 mph. Scully leaves at 10:00 a.m., following the same path and averaging 57 mph. At what time will Scully catch up with Mulder?
Answer:
2:15 p.m
Step-by-step explanation:
Given the following :
Mulder :
Speed = 51mph
Time he left office = 9:30 a.m
Scully :
Speed = 57mph
Time she left office = 10:00 a.m
Time difference = (10:00 - 9:30)a.m = 30 minutes = half an hour = 0.5 hour
Let Scully's travel time when she catches up = s
Therefore, Mulder's time at the same moment = (s + 0.5)
Recall:
distance = speed × time
Hence,
Scully's distance : 57 * s = 57s
Mulder's distance : 51 * (s + 0.5)
Equating both :
57s = 51(s + 0.5)
57s = 51s + 25.5
57s - 51s = 25.5
6s = 25.5
s = 25.5 / 6
s = 4.25 hours
Hence scully will catch up with Mulder after 4.25 hours
10:00am + 4.25 hours = 2:15p.m
Write a unit rate that compares the quantities described.
180 people on 3 planes.
Answer:
Hey there!
The correct answer is 60 people on one plane.
Hope this helps :)
Answer: 60:1
Step-by-step explanation: it asks for a unit rate I'm not trying to catch beef but the above is half answered thank you for your time.
Please help with this I still do not know what I am doing
Answer:
See Below
Step-by-step explanation:
150 = p + 78 ------ you want to get the p to one side and the other number the the other side of the =
(78 - 150) = p (78 - 78) ---- what ever you do to one side you do to the other
72 = p
s - 51 = 12 (same thing as above)
s (-51 + 51) = 12 + 51
s = 63
65 = blank + 7 ( you can put a letter like x or y because they number is not determined yet)
65 = x + 7 (same as above)
( 7 - 65 ) = x ( 7 - 7 )
58 = x