Answers
Regrouping terms in the sum as
x + (-5x + 5x) + (-9x + 9x) + … + (-21x + 21x) - 25x
you can see that all the middle terms cancel and you're left with
x - 25x = -24x
Related Questions
Work out length of BC
Answers
Answer:
assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]
by phytagorean theorem
[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]
so
[tex]bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} [/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]
★ 1st let's know what is the given figure is and it's related concepts for solving !
➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.[tex] \rule{70mm}{2.9pt}[/tex]
★ Writing this theorem mathematically ★
[tex] { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}[/tex]
★ Here ★
➣ Base (AC)= 8cm➣ Hypotenuse (BA)= 13cm[tex] \rule{70mm}{2.9pt}[/tex]
✝ Assumption ✝➣ let perpendicular/length ( BC ) = "x"[tex] \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
✝ let's substitute values ✝[tex]\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ [/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hence length (BC) in the given triangle is of
[tex] { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
A 6-ounce jar of modeling clay costs $4.20. What is the unit price?
Answers
Answer:
$0.70 per ounce
Step-by-step explanation:
Concepts + Application
The unit price of an object, in this case, is the total amount of money spent divided by how many ounces there are. We're given the total amount of money as $4.20 and the number of ounces as 6. Thus, we just divide 4.20 by 6.
Solution
4.20 ÷ 60.70$0.70 per ounceMs. palmer has 1 1/2gallons of orange juice.
how many servings of juice can she make, in cups?
Answers
714 divided by 7
this will really help me!
(im bad at division)
Answers
Answer:
102
Step-by-step explanation:
So 714 divided by 7 = 102
What type of sampling is described in this study?
A company that sells hair-care products wants to
determine if a product that combines shampoo and
conditioner works better than a shampoo and
conditioner used separately. A researcher recruits 60
volunteers and pairs them according to age, hair color,
and hair type. For each pair, the researcher flips a coin
to determine which volunteers will use the
shampoo/conditioner combination and which ones will
use the separate shampoo and conditioner. After using
the products for one month, the subjects are asked to
rate their satisfaction with the hair products on a scale
of 1-10 (1 = highly dissatisfied and 10 = highly
satisfied). What type of sampling is described in this study?
one sample
paired data
two samples
more than two samples
Answers
The sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
What is a paired data test?A paired data test or sampling is used when the researcher is interested in the difference between two variables for the same subject.
For instance, in this experiment, the researcher wants to find the satisfaction level of the volunteers who used the shampoo and conditioner separately or combined.
Thus, the sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
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Help please I don’t understand.
Answers
A sequence starts with: 25 20 15 10... what is the term-to-term rule of the sequence?
Answers
The Golden Ratio
Step-by-step explanation:
We can see for the that it is a constant ratio of declining -5 each new number that means the ratio of the previous is the same as the ratio of the next. Hopefully this helps.
Define bisect and midpoint. Using constructions, draw and label an angle bisector and a perpendicular bisector. Show segment addition postulate and angle addition postulate with examples of solving for a variables
Answers
Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.
What is Angle addition postulate?This theory states that if two angles are said to be put beside each other, the resulting angle is said to be equal in terms of the sum of the two real angle measures.
Note therefore, that that Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.
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Please help me with my math please .?
Answers
Answer:
Step-by-step explanation:
Find the volume of the rectangular prism. WA 3yd 3 yd 4 yd
Answers
Last week, Emma painted her fence. She used 6 cans of paint. There were 4 liters of paint in each can.
Answers
Answer:
I'm guessing you want how many liters of paint she used?
she used 24 liters of paint to paint her fence.
Step-by-step explanation:
theres 6 cans
4 liters in each can
6×4=24
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x² - 2x + 3; ƒ(x) = −2x + 28
Answers
Answer: x = 5, -5
Step-by-step explanation:
mark brainist
Answer:
(5, 18) and (-5, 38)
Step-by-step explanation:
Equating the values of the function f(x) :
x² - 2x + 3 = -2x + 28x² + 3 = 28 [Cancelling out -2x on each side]x² + 3 - 3 = 28 - 3 [Subtracting 3 on each side]√x² = √25 [Taking square root on each side]x = ±5Taking x = +5 :
f(5) = -2(5) + 28f(5) = -10 + 28f(5) = 18Ordered pair = (5, 18)Taking x = -5 :
f(-5) = -2(-5) + 28f(-5) = 10 + 28f(-5) = 38Ordered pair = (-5, 38)The solutions are : (5, 18) and (-5, 38)
In a group of 30 high school students, 15 play football, 19 play basketball and 6
do not play either sport. DRAW a Venn Diagram in the space below to DETERMINE
how many students play basketball but not football.
Answers
Answer:
Hope the picture will help you........
Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?
Answers
Answer:
73 dollars and 50 cents
Step-by-step explanation:
Initial Deposit:
70
Years to Save:
1
Estimated Rate of Return
5
Compound Frequency:
Annually
Earned Interest
$3.50
Total Balance
$73.50
Hope this helps!
Answer:
73.50
Step-by-step explanation:
math
A survey of birds in Forests A and B counted the number of robins and sparrows. Use the resulting frequency table to find each percentage.
Robins Sparrows Totals
Forest A 9 16 25
Forest B 36 64 100
Totals 45 80 125
percent of birds in Forest B that are robins =
%
percent of sparrows that are in Forest A =
%
percent of birds that are in Forest A =
%
Answers
Answer:
36%20%20%Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B36 / 1000.3636%Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows16 / 800.220%Percentage of birds in Forest A :
Birds in Forest A / Total birds25 / 1250.220%Answer:
36%
20%
20%
Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B
36 / 100
0.36
36%
Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows
16 / 80
0.2
20%
Percentage of birds in Forest A :
Birds in Forest A / Total birds
25 / 125
0.2
20%
Need some help! Please be specific.
Write a system of equations to represent the following word problem:
ASB sold 340 raffle tickets. Advanced tickets cost $2 each and same-day tickets cost $3 each. If a total of $810 was collected, how many of each type of ticket was sold?
Answers
Answer: 210 advanced tickets were sold. 130 same day tickets were sold.
Step-by-step explanation:
x= advanced tickets y=same day tickets
2x+3y=810 this equation represents the money
x+y=340 this equation represents the total number of tickets
x+y=340
-x -x
y=-340-x 2x+3(340-x)=810 210+y=340
2x+1020-3x=810 -210 -210
-x+1020=810 y=130
-1020 -1020
-x=-210
-1 -1
x=210
Evaluate the expression.
7^0
Answers
Answer:
Heyyy!!!!
The answer is 1.
Please read explanation it will definitely help you....
Step-by-step explanation:
Okay... Here it goes...
Basically, there is an exponent rule that says that anything to the power of 0 is 1.
I hope this helps!
Answer:
7^0 = 1
Step-by-step explanation:
Anything that has an exponent of 0 is 1.
Select the correct answer. what are the solutions of this quadratic equation? 6x2 6 = 12x 18 a. b. c. d.
Answers
Answer:
A
Step-by-step explanation:
I don't think you asked this question right but I believe A is the answer to your question "What are the solutions of this quadratic equation? 6x2 + 6 = 12x + 18" (fixed)
if these are the options, then I think its A
. How can you know if 2 shapes are congruent? Draw an example of 2 congruent triangles and label how you know.
Answers
Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
We can say that two triangles are congruent using these 5 rules:
1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.
2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.
3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.
4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.
5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.
Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
Example:-From the diagram, given that:
AB = DE, BC = EF and ∠B = ∠E
Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
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A____________ is sometimes a rhombus
A. Triangle
B. Square
C. Rectangle
D. Trapezoid
Answers
If you rotate the square it can also be a rhombus
Answer:
C (Square)
Step-by-step explanation:
Squares are quadrilaterals with 4 congruent sides. Since rhombuses are quadrilaterals with 4 congruent sides, squares are by definition also rhombuses.
Express the area A of a circle as a function of its circumference C. (A = πr² and C = 2πr)
Answers
AnswerI dont know
Step-by-step explanation:
how do you expect me to k
Please help ASAP
Will mark as brainliest answer
Answers
Answer:
i hope this will help you
Answer:
a = 1b = √15Step-by-step explanation:
An equation is solved for one of the variables by undoing the operations done on that variable. Here, we can solve for 'a' and solve for 'b' to find the desired values.
__
value of aSolve for 'a', then substitute the value of 'b'.
[tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\9a=\left(\dfrac{b^2-3}{2}\right)^2=\dfrac{(b^2-3)^2}{4}\\\\a=\dfrac{(b^2-3)^2}{36}=\dfrac{((-3)^2-3)^2}{36}=\dfrac{6^2}{36}\\\\\boxed{a=1}[/tex]
__
value of bSolve for 'b', then substitute the value of 'a'.
[tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\2\cdot3\sqrt{a}=b^2-3\\\\6\sqrt{a}+3=b^2\\\\b=\sqrt{6\sqrt{a}+3}=\sqrt{6\sqrt{4}+3}=\sqrt{12+3}\\\\\boxed{b=\sqrt{15}}[/tex]
Mason randomly chooses a card from a standard deck or cards What is the probability that it is a face card given that it is a hearts
Answers
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Tyler concludes that 5x² will always have a larger output for the same value of x.
Look at the graph below and the table given
Take a random value: x = 0
When 5x², y = 0When 2^x, y = 1Here, 1 > 0, making 2^x > 5x²
Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.
Disagree with Tyler's point.
No it won't be
Take x =9
2^x=2^9=512But
5(9)²=5(81)=405Clearly 2^x surpasses 5x²
So Tyler is wrong
Find the probability.
A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch
Answers
Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 15 bottles.
5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.The probability of the three outcomes occurring is given by:
[tex]p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366[/tex]
0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.
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A student collecting money for a charity is donating $12 of his own money. He asks friends to give $5 each. Write a rule in function notation to find how much he will donate in all. Let p represent then number of friends who give money.
a. f(p) = 12p + 5
b. f(p) = 12 + 5p
c. f(p) = 12 + 5 + p
d. (p) = 17p
Answers
Ill give brainless to whoever can help me with this problem
Answers
Q’ = (-8, -4)
R’ = (-2, -4)
S’ = (-2, 4)
T’ = (-8, 4)
Hope this helps.
At Super Shopper a 1-litre bottle of cola costs £0.85.
At Rex Retail a 1.5-litre bottle costs £1.30.
At which shop is cola better value for money?
Answers
Answer:
super shopper
Step-by-step explanation:
o.85/2=0.425
0.425*3=1.275
line pass through the line (-3, -7.5)tahila determined that the equation of line n is y=0.5x explain the error tahila made while dterming her equation and include the correct equation in your answer
Answers
The equation of the line will be (assuming the y-intercept equal to zero):
y = 2.5*x
What is Tahila's mistake?
We know that we have a linear equation of the form:
y = a*x + b
Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:
y = 0.5*x
If you evaluate that in -3, you get:
y = 0.5*-3 = -1.5
So this line does not pass through (-3, -7.5).
If we assume that b = 0 in the linear equation, then we can find the value of a as:
-7.5 = a*-3
a = 7.5/3 = 2.5
Then the linear equation is:
y = 2.5*x
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Which graph represents the solution of (y+2)²/4 + (x-3)²/9 <1 and y ≤√x-1-4?
Answers
Answer:
y²+x-7=-x+37
Step-by-step explanation:
im a pickle morty its the funniest thing ive ever experienced
Answer:
A
Step-by-step explanation: