Answer:
[tex]PR = 37[/tex]
Step-by-step explanation:
Given
[tex]PQ = 25[/tex]
[tex]PQ = 2x +1[/tex]
[tex]QR = x[/tex]
Required
PQ
Since Q is between the given points, then:
[tex]PR = PQ + QR[/tex]
This gives:
[tex]PR = 2x + 1 + x[/tex]
Collect like terms
[tex]PR = 2x + x+ 1[/tex]
[tex]PR = 3x + 1[/tex]
Next, solve for x
We have:
[tex]PQ = 25[/tex]
[tex]PQ = 2x +1[/tex]
This gives:
[tex]2x + 1 = 25[/tex]
Collect like terms
[tex]2x = 25 -1[/tex]
[tex]2x = 24[/tex]
Divide by 2
[tex]x = 12[/tex]
So:
[tex]PR = 3x + 1[/tex]
[tex]PR = 3 * 12 + 1[/tex]
[tex]PR = 37[/tex]
Please show work thank you
Answer
No solution
Step-by-step explanation:
4y + 2x = 18
3x + 6y = 26
You need either the x's or the y's to have the same coefficients.
let's line things up first.
4y + 2x = 18 (multiply by 3)
6y + 3x = 26 (multiply by 2)
to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.
12y + 6x = 54
12y + 6x = 52
So, if you subtract them from each other you get :
0 = 2
When this happens the solution set is : no solution
Answer:
Impossible
Step-by-step explanation:
Ok, so we first rearrange for convenience:
2x+4y=18
3x+6y=26
We multiply the two equations to eliminate x:
2x+4y=18 * -3
3x+6y=26 * 2
So:
-6x-12y=-54
6x+12y=52
And now we add the two equations:
0+0= -2
Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.
I have 8 carrots my Brother Ate 2
How Much I have left?
Answer:
6?Step-by-step explanation:
..........................
Use I = PRT to solve.
Answer: 11%
Step-by-step explanation:
Since the formula for interest is:
I = PRT
where.
P = 1200
I = 99
T = 0.75
I = PRT
R = I/PT
R = 99/(1200 × 0.75)
R = 99/900
R = 11%
Therefore, the rate is 11%
PLEASE HELP WKLL MARK IF YOU HELP ME !!!
Answer :
Let in Triangle abc,
a=90,
b = (we have to find)
c = (we have to find)
c + 144=180 (linear pair)
c = 180 - 144
c = 36
a + b + c = 180 (Angle sum property)
90 + b + 36 = 180
126 + b = 180
b = 180-126
b = 54
The mean score in an exam given to 40 students is 70. What is the sum of the 40 exam scores? A. 1500 B. 2000 C. 2800 D. 3000
Answer:
C
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
[tex]\frac{sum}{40}[/tex] = 70 ( multiply both sides by 40 )
sum = 40 × 70 = 2800 → C
HELPPPPP PLEASEEEE ASAPPPP WILL GIVE POINTS/BRAINLIEST
A function is shown in the table.
x g(x)
−3 17
−1 −3
0 −4
2 13
Which of the following is a true statement for this function? (5 points)
The function is increasing from x = −3 to x = −1.
The function is increasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.
The function is decreasing from x = −3 to x = −1.
Answer:
2nd
Step-by-step explanation:
i know I don't have an exlanation'
Tom had some blocks that were all the same size and shape. He used two of them to make this regular hexagon He placed six more blocks around this hexagon to make a bigger regular hexagon
How many more blocks does he need to place around this shape to make the next bigger regular hexagon?
(A) 6
(B) 10
(C) 12
(D) 18
Answer:
Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...
Use interval notation to express the following:
The set of all numbers less than 2.
Answer:
( - infinity, -3 ] [ -2, infinity )
square bracket means it includes the end point.
Step-by-step explanation:
(-∞, -3]U [-2,∞)
Find h.
9 ft
h =
= [?] ft
4 ft

Hemp me solve
Answer:
9ft =2.743m
kjhgfdfvhhgddfcvh
 please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
[tex]4 \pi {?}^{2} [/tex]
hope it is helpful to you
Urgent!!!!! please help
Answer:
A
Step-by-step explanation:
I will edit and add my explanation
The 3 and 2 are both positive if the information that was given in the screenshot is standalone.
So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.
We can narrow the choices down to A and C because they both move right.
Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.
3 * 2 is also 6, so it must end on 6.
Please help me Thank you
Step-by-step explanation:
help me you nedd to add position
can anyone solve 3?
9514 1404 393
Answer:
a) $7715.10
b) $6022.02
c) 15263.10
Step-by-step explanation:
A calculator or spreadsheet can evaluate the formulas for you using the given parameters.
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where P is the principal amount, r is the annual rate, n is the number of times interest is compounded per year, and t is the number of years.
The continuously compounded interest formula is ...
A = Pe^(rt) . . . . where P, r, t are defined as above
Often the function e^x is defined as the exp(x) function.
__
A calculator or spreadsheet can perform rounding for you, but we elected not to confuse the issue with that step. The calculator results below are rounded in the answer list above.
For part (a), we have ignored the fact that 7 years will have an additional week, since there are 1 or 2 extra days (beyond 52 weeks) in each year. Taking that into account adds a penny to the account balance.
The extra day in a leap year affects the account balance in the 8th significant figure. Our balance has only 6 significant figures, so we do not need to be concerned with the effect of a possible leap year in the 3-year period of part (b).
The first five terms of a sequence are 34, 35, 36, 37, 38.
Write down the general term of the sequence
33+n
Hope it helps you...
1. Find the least common multiple of 6 and 9. oct common multiple of
Write the following as an algebraic expression. Then simplify.
The total amount of money (in cents) in x nickles, (x+3) quarters, and 3x dimes. (Hint: The value of a nickel is 5 cents, the value of a quarter is 25 cents, and the value of a dime is 10 cents.)
The total amount of money is ___ cents.
(Simplify your answer. Do not factor.)
Answer:
[tex]60x+75[/tex]
Step-by-step explanation:
We want to find the total amount of money (in cents) of the expression:
[tex]\text{$x$ nickels, $(x+3)$ quarters, and $3x$ dimes}[/tex]
Since each nickel is worth five cents, each quarter 25 cents, and each dime ten cents, we can write that:
[tex]\displaystyle \text{Total}=5(x)+25(x+3)+10(3x)[/tex]
Simplify. Distribute:
[tex]T=5x+25x+75+30x[/tex]
Combine like terms. Therefore, the total amount of money (in cents) is represented by:
[tex]T=60x+75[/tex]
20. What is the next term in the following sequence:
Please hurry
9514 1404 393
Answer:
(a) -1215/32
Step-by-step explanation:
The sequence is apparently geometric. The common ratio is ...
(-135/2)/90 = -135/180 = -3/4
Then the next term is ...
(405/8)(-3/4) = -1215/32
Answer:
abcdefg omlllfffg
Step-by-step explanation:
2/5+3/7 is the same as?
Answer:
29/35
Step-by-step explanation:
Least common denominator of 5 and 7 is 35
[tex]\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\ \ = \frac{14+15}{35}\\\\ = \frac{29}{35}[/tex]
What is the graph of 4x + 2 < 10
PLEASE HELP WILL MARK BRAINLIEST‼️‼️‼️
Question: Write the equation of the piece wise function that is represented by its graph.
(Graph and Answers Pictured)
9514 1404 393
Answer:
D
Step-by-step explanation:
The left portion of the curve is defined for x < 1, except x=0. The right portion of the curve is defined for x ≥ 1. The only answer choice with these domain segments is the last one.
Find the quotient of 4x^3-12x² + 8x/ - 4x
O x2 + 3x - 2
O x²-12x + 4
O -x2 – 3x + 2
O x² + 12x - 4
Answer:
-x^2+3x-2
Step-by-step explanation:
I think one of the signs are wrong in the equation.
Graph the image of Kite BCDE after a translation 5 units down.
Answer:
See attachment for the translated kite
Step-by-step explanation:
Given
The attached image of BCDE
Required
Translate 5 units down
From the attachment;
[tex]B = (-7,0)[/tex]
[tex]C = (0,5)[/tex]
[tex]D =(-7,10)[/tex]
[tex]E = (-10,5)[/tex]
The rule to translate 5 units down is:
[tex](x,y) \to (x,y-5)[/tex]
So:
[tex]B' = (-7,-5)[/tex]
[tex]C' = (0,0)[/tex]
[tex]D' = (-7,5)[/tex]
[tex]E' = (-10,0)[/tex]
See attachment for the translated kite
Which of the following is most likely the next step in the series?
B
Answer:
C
Step-by-step explanation:
The pattern seems to go as follows:
1. Top left portion is in blue
2. Top left portion is in blue as well as the rest of the upper half filled with red.
3. Another portion of blue is added directly underneath the red.
This leads me to believe that the colors are alternating from blue to red to blue to finally, red. This makes your answer C. Please let me know if you still need help!
A college has 7 science batches and each batch has 48 students, It is compulsory for each student to do 24 hours of community service in a year. How many hours of community service does the college contribute in a year ?
Answer:
Hello There!!
Step-by-step explanation:
Firstly, find out how many students there are in 7 batches. You can do this by timesing 48 by 7 to get 336. So there are 336 students in 7 batches. Each student does 24 hours of community service in a year so do 336 times by 24 which is 8,064. Therefore,the college contributes 8,064 hours of community service in a year.
hope this helps,have a great day!!
~Pinky~
‼️‼️need help asap ‼️‼️
Answer:
D
Step-by-step explanation:
(f-g)(x) = f(x) - g(x)
=3x^3+8x^2-7x-4-(2x-6)
=3x^3+8x^2-9x+2
what does $42,690e(0.03)(20) equal
Answer:
77,786.251
Step-by-step explanation:
Pls I don’t know what to do
Answer:
[tex]{ \bf{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( {8.1}) }^{2} }} \\ = { \tt{206.1 \: {cm}^{2} }}[/tex]
The transformations to the parent function of a quadratic equation are given below. write an equation of the new function in vertex form
Answer:
11.f(x)=^2-3Step-by-step explanation:
12.And slide everything five units down. So a over here that's negative three negative one. So if we slide at five you just down we go one two three four five and get here.Hope it helps
Which of the following theorems verifies that DEF = XYZ?
Answer:
AA
Step-by-step explanation:
HL = requires actual measurements of sides
LL = There are no measurements for the legs
HL = There are no measurements for the legs or hypotenuse
HA = Doesn't exist
Assume that the tunnel in Exercise 3.132 is observed during ten two-minute intervals, thus giving ten independent observations Y1, Y2,..., Y10, on the Poisson random variable. Find the probability that Y > 3 during at least one of the ten two-minute intervals
Answer: hello the exercise is missing from your question below is the missing exercise for reference
answer:
0.1745
Step-by-step explanation:
Determine P ( Y > 3 )
Given that y follows Poisson distribution with mean
P( Y = y ) = [tex]\frac{e^{-1} }{y!}[/tex]
assuming that yi represents number of autos that will enter the tunnel and
also let A represent Y > 3 at one of the ten two-minute interval
step 1 : hence finding P(A )
= P(Y > 3 ) = 1 - P( Y≤ 3 )
= 1 - [ [tex][\frac{e^{-1} }{0!} +\frac{e^{-1} }{1!} +\frac{e^{-1} }{2!} +\frac{e^{-1} }{3!} ][/tex]
= 0.018988
since the ten observations are independent
P(X≥ 1 ) = 1 - P( X = 0 )
= 1 - [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right][/tex] * (0.018988)^0 ( 1 - 0.018988)^10-0
= 1 - 0.8255 = 0.1745