Answer:
first 3 terms: 6, 9, 14
16^2+5=261
Step-by-step explanation:
1^2+5= 6
2^2+5= 9
3^2+5= 14
answer the question in the picture
Answer:
A and D
Step-by-step explanation:
Rational numbers that can be written as a fraction of two integers (without a denominator of 0).
The other three cannot be written as a fraction or two integers.
In the diagram below, \overline{ST} ST is parallel to \overline{PQ} PQ. If STST is 55 more than QTQT, RT=10RT=10, and PQ=15PQ=15, find the length of \overline{QT} QT. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.PQRTS
The length of the [tex]\overline{QT}[/tex] can be determined using the given information and
the relationship between corresponding sides of similar triangles.
[tex]\underline{\overline{QT} = 5}[/tex]Reasons:
The given parameters are;
[tex]\overline{ST} \parallel \overline{PQ}[/tex]
ST = QT + 5
RT = 10
PQ = 15
Required: The length of [tex]\overline{QT}[/tex]
Solution:
Using the relationship between corresponding sides of similar triangles, ΔRST and ΔRPQ, we have;
[tex]\displaystyle \frac{\overline{ST}}{\overline{RT}} = \mathbf{\frac{\overline{PQ}}{\overline{RQ}}}[/tex]RQ = QT + RT
Therefore;
[tex]\displaystyle \frac{\overline{ST}}{\overline{RT}} = \mathbf{\frac{\overline{PQ}}{\overline{QT} + \overline{RT}}}[/tex]Which gives;
[tex]\displaystyle \frac{\overline{QT} + 5}{\overline{RT}} = \frac{\overline{PQ}}{\overline{QT} + \overline{RT}}[/tex]
Plugging in the known values gives;
[tex]\displaystyle \frac{\overline{QT} + 5}{10} = \mathbf{\frac{15}{\overline{QT} + 10}}[/tex]
[tex](\overline{QT} + 5) \times (\overline{QT} + 10) = 10 \times 15[/tex]
[tex]\overline{QT}^2 + 10\cdot \overline{QT} + 5\cdot \overline{QT} + 50 = 10 \times 15[/tex]
[tex]\overline{QT}^2 + 15\cdot \overline{QT} + 50 - 150= 0[/tex]
[tex]\mathbf{\overline{QT}^2 + 15\cdot \overline{QT} -100} = 0[/tex]
Factorizing with a graphing calculator gives;
[tex](\overline{QT} -5) \cdot (\overline{QT} + 20)= 0[/tex]
[tex]\mathbf{\overline{QT} = 5} \ or \ \overline{QT} = -20[/tex]
Therefore, given that [tex]\overline{QT}[/tex] is a natural number, we have;
[tex]\underline{\overline{QT} = 5}[/tex]
Learn more about similar triangles here:
https://brainly.com/question/4268470
the fiah population in crystal lake increased thisnyear by 30% last year population in crystal land was 3,500 how many fish are jn the lake this year
Answer:
The population is 40,269 as of the 2020 Census, a 1.2% decrease from 2010. Crystal Lake is the largest city in McHenry County, part of the Chicago metropolitan
Step-by-step explanation:
how to work out 12.5% of a number
Step-by-step explanation:
12.5÷100 × 5
=0.125×5
=0.625
When the Johnson family lights candles at 5:00 PM, each candle is 8 inches tall. The height of each candle changes by -3/4 inch for each hour that it burns. How tall will each candle be at 11:00 PM when the Johnsons put the candles out for the night?
Each candle will be___inches tall.
From the information given, it can be deduced that the length of the candle at 11:00PM will be 3.5 inches tall.
Since the family lights candles at 5:00 PM and offs them by 11:00PM, the difference in hours will be 6 hours.
Therefore, the length of the candles at 11:00PM will be:
= 8 - (3/4 × 6)
= 8 - 4.5
= 3.5
In conclusion, the correct option is 3.5 inches tall.
Read related link on:
https://brainly.com/question/25711376
Answer: 3.5
just did it
Step-by-step explanation:
Identify the point that is not on the line 15x + 60y = 180
a (4,2) c (12, 1)
b (0,3) d (8, 1)
Answer:
c
Step-by-step explanation:
Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.
(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line
(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line
(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line
(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line
The point (12, 1 ) is not on the line → c
pls help…. quickkkkkkkkkkk
Answer: b
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
The shading is above the line, so it must be ≥ or >.
The line is solid, so it must be ≥.
The only choice with ≥ is the answer.
Answer: B.
Solve each proportion.
5/n=6/12
Answer:
5/n=6/12n = 6/12×5n = 6/60n =1/ 10n = 1:10Steve had 1400 pesos. Heloaned 500 pesos to a friend, spent 310 pesos, and received his800 pesos paycheck from work. How much money does he have now?
Answer:
1390
Step-by-step explanation:
1400- 500= 900 (loaned → deduction→ meaning subtraction)
900- 310 = 590 (spent→ deduction→ meaning subtraction)
590 + 800 = 1390 (received→ gained→ addition)
roots and solution
(polynomial equation)
x3 + 6x2 - x - 30 = 0
Answer:
hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it
Answer:
x=-5;-3;2
Step-by-step explanation:
all the details are in the attached picture (the answers are marked with red colour).
1) to determine the possible roots;
2) to check the possible roots, then to stop when the first one is found (it is 2);
3) to perform division of polynoms, then to re-write the given equation in comfortable form;
4) to calculate other roots.
Note, the suggested solution is not the shortest way and not the only one.
P.S. make the design according local requirements.
solve for k 5k-2=2k+4
Answer:
k = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
5k - 2 = 2k + 4
Step 2: Solve for k
[Subtraction Property of Equality] Subtract 2k on both sides: 3k - 2 = 4[Addition Property of Equality] Add 2 on both sides: 3k = 6[Division Property of Equality] Divide 3 on both sides: k = 2Answer:
k=2
Step-by-step explanation:
5k-2=2k+4
add 2 to both sides
5k=2k+6
subtract 2k to both sides
3k=6
divide both 3k and 6 by 3 to get k by itself
k=2
What is the slope of the line
Answer:
2/3
Step-by-step explanation:
rise over run is 2 over 3, and it is positive because the y increases as the x increases!
A car was traveling at 25 m/s when it slammed on the brakes and came to a complete stop in 3 seconds. What is the cars INITIAL/FINAL VELOCITY?
Answer:
Initial velocity = 25 m/s
Final velocity = 0 m/s
Step-by-step explanation:
Initial velocity is the speed in the beginning and final velocity is the speed in the end.
The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.
I need help with this :')
Answer:
Rate of change is 15/2
Step-by-step explanation:
Rate of change is the same as slope of a line.
( y1 - y2 ) / ( x1 - x2 )
( 30 - 15 ) / ( 4 - 2 )
15 / 2
Hopefully this helps!
Brainliest please?
Brahmagupta’s solution to a quadratic equation of the form ax2 bx = c involved only one solution. Which solution would he have found for the equation 3x2 4x = 6? x = x = x = x =.
Answer:
34
Step-by-step explanation:
Graph the triangle with the given vertices. Find the length of the hypotenuse of the triangle. Assume a is a positive number.
X(0,0)
Y(a,2)
Z(a,0)
[tex]\\ \sf\longmapsto XY=\sqrt{x^2+y^2}[/tex]
[tex]\\ \sf\longmapsto XY=\sqrt{a^2+2^2}[/tex]
[tex]\\ \sf\longmapsto XY=\sqrt{a^2+4}[/tex]
[tex]\\ \sf\longmapsto XY=2+a[/tex]
Pls help WILL MARK BRAINLY also 34 POINTS
Answer:
X is 38, y is 27.
Step-by-step explanation:
This is because you are subtracting on the 90 degree angles.
Answer:
The answer is 27 degrees for x, and 38 degrees for y.
Step-by-step explanation:
There are many ways you could do this. The easiest one for me was if you look at the left side of the 180 degree line (CD), you take away 90 (straight angle) from 63, which equals 27 degrees (answer for x). Then, add up all the angles on the left side of the 180 degree line. However, you need to first work out a, which is 180-128=52 degrees. Now you can add them up. 52 degrees (a) plus 27 (m) plus 63 (n) = 142 degrees. Then take away 180 from 142, which equals 39 degrees for y. If you want to check this Add up all your known angle on the left side of the 180 degree line. 52 plus 27 plus 63 plus 38, which equals 180 degrees, which is correct.
What is 3, 4, 5, 6, and 7.
Compound $35.000 is invested at 5% compound interest. What is the interest at the end of three years?
Answer:
$40,516.86
Step-by-step explanation:
start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.
Answer:
A = $40,516.88
Step-by-step explanation:
Assuming that interest is compounded annually:
The AMOUNT will be A = P(1 + r)^2, which here is
A = $35,000(1 + 0.05)^3, or
A = $40,516.88
Which of the ratios below has a unit rate of 5?
Answer:
Would you mind including the ratios in the comments?
You didn't post any material to solve.
The sum of two consecutive even integers is 122. What are the two numbers?
Answer:
Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
The numbers are : 60 , 62
Step-by-step explanation:
Let the two consecutive even numbers be 2x , 2x + 2
2x + 2x + 2 = 122
Combine like terms
4x + 2 = 122
Subtract 2 from both sides
4x = 122 - 2
4x = 120
x = 120/4
x = 30
2x = 2*30 = 60
2x + 2 = 2*30 + 2 = 60 + 2 = 62
how do i solve -3x--3+8x-24=6x+7-5x
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]-3x--3+8x-24=6x+7-5x[/tex]
Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:
[tex]-3x+3+8x-24=6x+7-5x[/tex]
Add up similar terms:
[tex]5x-21=x+7[/tex]
Add 21 to both sides:
[tex]5x-21+21=x+7+21[/tex]
[tex]5x=x+28[/tex]
Subtract x from both sides:
[tex]5x-x=x+28-x[/tex]
[tex]4x=28[/tex]
Divide both sides by 4:
[tex]\frac{4x}{x} =\frac{28}{4}[/tex]
[tex]x=7[/tex]
Be quiet! The teacher (be) angry
what is this how so i do this
Simplify the expression 4x^3x2x^3
Question and answer choices are in the SS attached!!!! Pls help me! ty!
Answer:
B
Step-by-step explanation:
It's a right triangle, so the pythagorean theorem will be used a lot.
First, find the side length on the left.
25^2 = 7^2 + y
y = 24
Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.
4^2 + 24^2 = x^2
x = [tex]\sqrt{592}[/tex]
Just need to simplify it a little farther...
592 / 16 = 37, so B must be the answer.
What is another word for the input values in a proportional table.
a) y-values
b) output values
c) plug in value
d) x-values
PLEASE HELP.
WILL GIVE BRAINLIEST!!
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED !!!
Answer:
b; |-4|<|-5|
Step-by-step explanation:
Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.
What is the slope of the line that passes through the points (-9,10 ) and (-6,9 )?
Answer:
Step-by-step explanation:
(9-10)/(-6 - - 9) = -1/3
As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:
3 traditional country songs
6 traditional rock songs
4 hip-hop rap songs
5 contemporary country songs'
1 Latin rap song
3 traditional pop songs
What is the probability that the player will select some rap music next?
Answer:
the probability will be 18.18%
The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.
Answer:
Step-by-step explanation:
Area = x² - 80x + 1500
= x² -30x - 50x + 1500
= x(x - 30) - 50(x - 30)
= (x -30) (x - 50)
Length =(x -50) ft