Answer:
5 years
Step-by-step explanation:
1250 => 250 1000 => 300 800 => 350 450. => 400 50.
add 3x^2-5+1 +2x^2+9x-6
Answer:
5x² + 9x - 10
Step-by-step explanation:
To completely simplify this equation, add all like terms.
3x² - 5 + 1 + 2x² + 9x - 6
= 5x² + 9x - 10
hope this helps :)
1. Ned shows that V16 =162. Part of his work is shown below. Which expression or equation
can be placed in the blank to correctly complete Ned's work?
116 = 4 = 4' = 4
- 162
11
1
1
A. (42)
B. 4 + 4
C.4ż . 4ż = (4 • 4),
464
D. 42 • 4Ż = (4. 4)+
1
1
.
4 1/2 ⋅ 4 1/2=(4 x 4)^1/2
for problems 8-9 find the area to the nearest hundredth use 3.14 for pi
please answer questions
8 and 9
what is -1/2 - 2/3?
could i get help? it would be great!
Answer:
B. supplementary angles
Step-by-step explanation:
At a pizza restaurant the cook has 144 ounces of tomato sauce. The cook uses exactly 4
ounces of tomato sauce on every pizza. How many pizzas can the cook make? How many
ounces of tomato sauce will be left over?
Answer:
36 pizzas
no sauce left over
Step-by-step explanation:
Take the total amount and divide by 4
144/4 =36
The cook can make 36 pizzas
Ther is no sauce left over
In trapezoid PQRS, PQ is parallel to SR. What is the area of PQRS in simplest radical form?
The area of the considered trapezoid PQRS in simplest radical form is given by: Option c: 256 + 128√3 (in sq. units)
How to find the area of a trapezoid?The area of a trapezoid is the half of the product of sum of its parallel sides to the height of that trapezoid (the distance between those parallel sides).
Thus, if we have:
Length of its parallel sides = 'a' and 'b' units respectively
Perpendicular distance between its parallel sides = 'h' units,
Then, we get:
[tex]A = \dfrac{1}{2}\times(a+b) \times h \: \rm unit^2[/tex]
Consider the figure attached below, which is a bit more labeled figure of the given trapezoid.
We constructed PA perpendicular to the level of SR, and therefore, as SR is parallel to PQ, we have PA perpendicular to PQ too.
Similarly, QB is constructed perpendicular to both PQ and SR.
Thus, for PQBA, all pair of adjacent sides are perpendicular to each other, therefore its a rectangle.
Sum of parallel sides = Length of PQ + Length of SR
= 24 + |SR| = 24 + |SB| + |BR| = 24 + |AS| - |AS| + |SB| |+ |BR|
= 24 + |AS| + |SB| + |BR| - |AS| = 24 + |AB| + |BR| - |AS|
Due to PABQ being a rectangle (its four sides are such that adjacent sides are perpendicular to each other), we have |PQ| = |AB| = 24 units.
Thus, we get:
Sum of parallel sides = 24 + |AB| + |BR| - |AS| = 48 + |BR| - |AS|
Perpendicular distance between its parallel sides = |PA| = |QB|
Thus, we need to find the values of 3 line segments, which are:
|BR|, |AS|, and |PA| (instead of |PA|, we can find |QB| too, since both are of same length).
Case 1: Finding the length of BR:From the perpective of angle R(interior) in right triangle RBQ, we know the side RQ's length (32 units), and want length of BR.
Thus, its hypotenuse and base from the perspective of angle R (interior).
Thus, we can use cosine ratio or secant ratio. Let we use cosine ratio.
Then, we get:
[tex]\cos(30^\circ) = \dfrac{|BR|}{|RQ|} \\\\|BR| = 32 \times \cos(30^\circ) = 32 \times \dfrac{\sqrt{3}}{2} = 16\sqrt{3}\: \rm units[/tex]
For the same triangle as in case 1 (ie RBQ), but now taking the sine ratio, we get:
[tex]\sin(30^\circ) = \dfrac{|BQ|}{|RQ|} \\\\|BQ| = 32 \times \sin(30^\circ) = 16 \: \rm units[/tex]
This is same as |PA| because of PQBA being a rectangle.
Case 3: Finding the length of AS:The angle PSA is supplement of angle PSR as both joined make a straight line ASR. Thus, we get:
[tex]m\angle PSA + m\angle PSR = 180^\circ\\m\angle PSA = 180^\circ-135^\circ = 45^\circ[/tex]
Thus, for the triangle PSA, similar to the first case or second case, but now using tangent ratio as we've got |PA| = |QB| = 16 units, we get:
[tex]\tan(m\angle PSA) = \dfrac{|PA|}{|AS|}\\\tan(45^\circ) = \dfrac{|PA|}{|AS|} \\\\|AS| = 1 \times 16 = 16 \: \rm units[/tex]
Thus, we get:
Sum of parallel sides = 48 + |BR| - |AS| = 48 + 16√3 - 16 = 32 + 16√3 units
Perpendicular distance between its parallel sides = |PA| = |QB| = 16 units.
Thus, Area of the trapezoid PQRS is evaluated as:
[tex]A = \dfrac{1}{2} \times \text{Sum of parallel sides} \times \text{Distance between those sides}\\A =\dfrac{1}{2} \times (32 + 16\sqrt{3}) \times 16 \\\\A = 256 + 128\sqrt{3} \: \rm unit^2[/tex]
Thus, the area of the considered trapezoid PQRS in simplest radical form is given by: Option c: 256 + 128√3 (in sq. units)
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Wesley has started to collect sports cards. The graph
shows how many sports cards he has collected.
8
6
Number of
Sports Cards
0 2 4 6 8 10 X
Weeks
Which table shows the information in the graph?
Weeks (x) 2 4 6 8
Weeks (x) 2 4 6 8
Number of
Number of
1 2 3 4
2 4 5
A Sports Cards (y)
(y
B Sports Cards ) 2 3 4 5
2 4 6 8
2 4 6 8
Weeks (x)
Number of
C Sports Cards ()
Weeks (x)
Number of
D Sports Cards (y)
2 4 6 8
3 5 7 9
Answer:
B
Step-by-step explanation:
It goes up by one, to the right by 2. Or flip that, Im dyslexic
Answer:
B!!
Step-by-step explanation:
Hope nthis helps!!!!!
pls factorize
4(2x-3)(5x+2)=0
[tex]~~~~~~4(2x-3)(5x+2) = 0\\\\\implies (2x -3)(5x+2) = 0\\\\\implies 2x -3=0 ~~~~~~\text{or}~~~~~~ 5x +2 = 0\\\\\implies 2x =3 ~~~~~~~~~~~\text{or}~~~~~~ 5x = -2\\\\\implies x = \dfrac 32 ~~~~~~~~~~~~ \text{or}~~~~~~ x = -\dfrac 25\\\\\text{Hence,}~ x = \dfrac 32, ~ x = -\dfrac 25[/tex]
Please help me on this!
Given f(x) = x4 – 3x3 + x – 3. What is Limit of f (x) as x approaches negative 2? –45 –13 3 35
Answer:
35
Step-by-step explanation:
Directly plug in the limit and evaluate
[tex]\displaystyle \lim_{x\rightarrow-2}x^4-3x^3+x-3=(-2)^4-3(-2)^3+(-2)-3=35[/tex]
In a certain Algebra 2 class of 21 students, 10 of them play basketball and 9 of them
play baseball. There are 8 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Step-by-step explanation:
out of the 21 students, 8 do not play neither basketball nor baseball.
so, 13 students play at least one of these games.
10 play basketball, and 9 play baseball. that would be 19 together. but we have only 13 players.
that means 6 students (19 - 13) must play both games.
remember, a probability is always
desired cases / possible cases
so, when we are looking for the students, who play both games, we have 6 desired cases out of a total of 21.
and the probability to pick one of them is therefore
6/21 = 2/7 = 0.285714286...
What is the solution of x+8=13
Answer:
x = 5.Step-by-step explanation:
x + 8 = 135 + 8 = 13x = 5Nothing else to say lol.
Answer:
x=5
Step-by-step explanation:
x+8= 13
x=13-8
x= 5
hope it helpsss
Write a verbal expression for:
20+6
what is the result of the addition of 20 and 6
[tex]\boxed{\sf twenty~plus~six }\boxed[/tex]
Which graph correctly represents the relationship between arc length and the measure of the corresponding central angle on a circle with radius r?
Any smooth curve connecting two points is called an arc. The correct option is c.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
where
θ is the angle, that arc creates at the centre of the circle in degree.
If the central angle has a measure of π/2(90°), then the length of the arc will be one-fourth of the total, while if the measure of the angle is π(180°), then the length of the arc will be half of the total.
Similarly, if the measure of the angle is 3π/4, then the length of the arc will be three-fourth of the total, while if the measure of the angle is 2π(360°), then the length of the arc will be 2πr.
Hence, the correct option is c.
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Use the method of completing the square to determine the exact values of x for the equation x2-8x+6=0.
Answer:
x=7.16 or0.84
Step-by-step explanation:
The solution is in the image
Evelyn and her friends bought 35 grams of cinnamon. They used 3.1 grams of it to make some snickerdoodle cookies. How much cinnamon do they have left?
Answer:
31.9 grams
Step-by-step explanation:
35 - 3.1 = 31.9 grams
Hope this helped you!
A 12 inch line segment is divided into two parts. Which
of the following lengths result in a ratio closest to the
golden ratio, ?
2
1+v5
O A. 6 inches and 6 inches
O B. 7 inches and 5 inches
C. 7.5 inches and 4.5 inches
O D. 7.75 inches and 4.25 inches
The length which result in a ratio closest to the golden ratio is equal to 7.5 inches and 4.5 inches. Option C is correct.
What is the length of line segment?The line segment is made with two end points. Length of a line segment is the distance of both the ends of it.
A 12 inch line segment is divided into two parts. Suppose the line segment is AC which is divided into AB and BC parts. Thus,
AB+BC=AC
AB+BC=12 ....1
The value of golden ratio is equal to 1.618. It can also be given as (1+√5)/2. The ratio of both segment is equal to golden ratio. Thus
[tex]\dfrac{AB}{BC}=\dfrac{AC}{AB}=\dfrac{1+\sqrt{5}}{2}\\\dfrac{12}{AB}=1.618\\AB=7.4166 \rm\; in[/tex]
Put this value in equation one as,
AB+7.4166=12
AB=4.5834
The length which result in a ratio closest to the golden ratio is equal to 7.5 inches and 4.5 inches. Option C is correct.
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if a six pack of soda cost 2.46 how much is one can
Answer:
one can would be about $0.41
Step-by-step explanation:
Take $2.46 and divide it by 6 because that is the number of cans in the pack, the answer is $0.41 per can.
7x+8=-5x+32 can someone tell me what (x) is pls
[tex]7x + 8 = ( - 5x) + 32 \\ 7x + 5x = 32 - 8 \\ 12x = 24 \\ x = \frac{ \cancel{24} {}^{ \: \: \: 2} }{ \cancel{12}}\\x=2 [/tex]
[tex] \Large{\boxed{\sf x = 2}} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 7x + 8 = -5x + 32 [/tex]
[tex] \\ [/tex]
Substract 8 from each side :
[tex] \sf 7x + 8 - 8 = -5x + 32 - 8 \\ \\ \sf 7x = -5x + 24 [/tex]
[tex] \\ [/tex]
Add 5x to both sides :
[tex] \sf 7x + 5x = -5x + 24 + 5x \\ \\ \sf 12x = 24 [/tex]
[tex] \\ [/tex]
Divide both sides by 12 :
[tex] \sf \dfrac{12x}{12} = \dfrac{24}{12} \\ \\ \\ \boxed{\boxed{\sf x = 2}} [/tex]
[tex] \\ \\ [/tex]
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Need help on how to solve
Answer:
b
Step-by-step explanation:
64 = 2x^2
32 = x^2
x = 4√2
ans is b
I am stuck on this one lol. Coleman pays $12.99 for 3 hamburgers. How much would Coleman pay for 10 hamburgers? Enter your answer in the box.
Answer:
$43.30
Step-by-step explanation:
What we know,
3 hamburgers = $12.99
Coleman wants to know how much would he have to pay for 10 hamburgers,
In order to find out how much 10 hamburgers cost, you need to find out how much 1 hamburger costs,
To find how much 1 hamburger costs divide 12.99 by 3,
12.99/3
= 4.33
Now we know that 1 hamburger cost $4.33,
Now time to find out how much 10 hamburgers cost,
Multiply 4.33 by 10,
4.33 × 10
= 43.30
Therefore it cost $43.30 for 10 hamburgers.
A town has a population of 4.11 x 104 and shrinks at a rate of 9.6% every year.
Which equation represents the town's population after 4 years?
Answer:
59304
Step-by-step explanation:
4.11x 10⁴=41100, 9.6 =( 1+9.6/100)=1.096
x(n)−population after n years
x(n)=x(0)×1.096^n=41100x1.096^n
x(4)=41100×1.096⁴=59304.007
= 59304
An equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].
Given that, a town has a population of [tex]4.11\times10^4[/tex] and shrinks at a rate of 9.6% every year.
What is population growth and population decrease formula?If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100} )^n[/tex]
Now,
[tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex]
⇒ [tex]x(4)=4.11\times10^4(1+0.096)^4[/tex]
⇒ [tex]x(4)=41100\times(1.096)^4[/tex]
⇒ x(n)=41100×1.443
⇒ x(n)=59307.3
Therefore, an equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].
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GIVING BRAINLIESTT!!!!
Answer:
A
Step-by-step explanation:
Slope = +1
Y-int = 2
State the. expression (10+16)x49
help
Answer:
the sum of 10+16 multiplied by 49
Step-by-step explanation:
Contestants in a game show are each given three pairs of numbers (for example, 2 and 3, 5 and 6, and 6 and 1). a person in the audience is randomly picked and asked to roll two dice, one white and one red. the white die gives the first number in the pair, and the red die gives the second number. the probability that each player has of winning is .
The game is an illustration of probability, and the probability that each player wins is 1/12
How to determine the probability of winning?From the question, we have the following parameters:
Number of a pair of numbers = 3
A die has 6 possible outcomes.
So, the probability of getting the first pair is:
P1 = 1/6
The probability of getting the second pair is:
P2 = 1/6
The probability of getting the first and the second pairs is
P = 1/6 * 1/6
Evaluate
P = 1/36
There are three pairs of numbers in total.
So, the probability of winning is:
P(Win) = 3 * 1/36
Evaluate
P(Win) = 1/12
Hence, the probability that each player wins is 1/12
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Answer:
1/12.
Step-by-step explanation:
The probability that each player has of winning is 1/12.
12. Your friend evaluates the power (-3)^2Is your friend correct? Explain.
Answer:
no
Step-by-step explanation:
(- 3)² = - 3 × - 3 = 9 ≠ -9
Answer:
no , see below
Step-by-step explanation:
when you raise a number to a power, you multiply the number by itself the amount of times the power is. so if (-3) has a power of 2 , we multiply -3 by itself twice.
so we get -3 × -3
a negative times a negative is a positive
so -3 × -3 = 9 , not -9
The distance between two cities on a map 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?
Answer:
70 kilometers
Step-by-step explanation:
if 1 cm is equal to 20 kilometers, then 3 cm would be 60 kilometers, and 0.5 cm would be 10 kilometers. making 3.5 cm 70 kilometers.
Please give coordinates :)
The coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).
What is a system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The first equation given in the problem is,
[tex]x+y=0[/tex]
Rearrange it,
[tex]y=-x[/tex] .....1
The second equation given as,
[tex]-3x+4y=14[/tex]
Rearrange it,
[tex]-3x+4y=14\\4y=14+3x\\y=\dfrac{14+3x}{4}[/tex] .....2
Plot the graph of both the line as shown below in the attached image. In this equation the solution is the point of intersection which is (-2,2).
Thus, the coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).
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how do i solve this equation
Answer:5.4
Step-by-step explanation:
so first you cross multiply and then you solve for x from there. You shold get 5.385164807. But you need to round that so I rounded to the nearest tenth, which would be 5.4
