Step-by-step explanation:
B. -16 + (-7) ...this is the same as -16-7
Write the gcf of:
200x^2y^5 and 1000x^3y^2
Answer:
Step-by-step explanation:
200 divides into 1000 so that is part of the HCF.
x^2 and x^3 are present so the HCF contains x^2
y^2 and y^5 are present so the HCF contains y^2
HCF = 200*x^2 * y^2
what is 80,704 rounded to the nearest 10 thousand
80,000
Just look at the number in the ten thousand place and check if you have to round up or down.
You have 4/3 chocolate bars. You want to give 1/2 of the chocolate bars you have to your friend. What fraction of the chocolate bars would each of you get
The fraction 8/3 of the chocolate bars would each of you get.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
You have 4/3 chocolate bars.
You want to give 1/2 of the chocolate bars to your friend.
To find the fraction of the chocolate bars would each of you get:
Use division operation,
4/3 ÷ 1/2
Rearranging to multiplication term,
4/3 x 2/1
= 8/3
Therefore, 8/3 fraction of the chocolate bars would each of you get.
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ab? that goes through points (0,2)
Write an exponential function in the form y
and (4, 1250).
Answer:
y = 2·5^x
Step-by-step explanation:
Using the given points, we can solve for 'a' and 'b'.
y = ab^x
2 = ab^0 = a . . . . . substitute (0, 2) for (x, y)
__
1250 = 2·b^4 . . . . substitute for 'a' and (4, 1250) for (x, y)
625 = b^4 . . . . divide by 2
5 = b . . . . . . . take the 4th root
The function is ...
y = 2·5^x
____
Additional comment
There are two real and two imaginary 4th roots of 625. Only the positive real root is useful as the base in an exponential function like this.
0 6. What is the constant of proportionality for the set of data in the table? 10 8 2 Hours 70 56 42 14 Miles 48
Answer:
k = 7
Step-by-step explanation:
The constant of proportionality k is calculated as
k = [tex]\frac{miles}{hours}[/tex]
Using the values from the table , then
k = [tex]\frac{14}{2}[/tex] = [tex]\frac{42}{6}[/tex] = [tex]\frac{56}{8}[/tex] = [tex]\frac{70}{10}[/tex] = 7
Identify all the obtuse angles shown
Answer:
Option D is correct.
Explanation:
An obtuse angle is an angle that has more than 90°. In the picture, we can clearly see that ∠XYZ has more than 90°. This is an obtuse angle. ∠XWZ is also more than 90°, so that angle is also classified as an obtuse angle. Hence, Option D is correct.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
There are 3 cyan, 9 magenta and 15 yellow printer cartridges in a box.
We pick one at random, then pick another one, without replacement.
What is the probability that both of them will be cyan?
Answer: Less likely since the number of cyan is quite lower or the lowest in comparison of magenta and yellow.
Does anyone know how to answer this?
Step-by-step explanation:
We first calculate the lenght of the diameter, that is also the lenght of the hypotenuse of the right triangle shown in the figure:
d = [tex]\sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex] cm
The radius of the circle will be half of the diameter: r = d/2 = 2.5 cm
The area of the circle will be: Acircle = pi * r^2 = pi * 6.25 cm^2 = 19.6 cm^2 (circa).
Now from the area of the circle we subtract the area of the square:
Asquare = 4cm * 3cm = 12cm^2
A shaded = Acircle - Asquare = 19.6 cm^2 - 12cm^2 = 7.6 cm^2
Từ điểm A ở ngoài (O) kẻ các tiếp tuyến AB, AC với đường tròn (B và C là các tiếp điểm), BC cắt OA tại D, trên cung nhỏ BC lấy E, ED cắt (O) tại F chứng minh góc BAE = góc CAF
: Ram lived in a small village. When he left for a college in a city, the population of his village was 840. When he came back, the , population had grown by 5%. What was the nopulation he found?
Answer:
882
Step-by-step explanation:
840 : 100 x 105 = 882
Triangle CDE is similar to triangle FGH. Find the measure of side GH. Round your
answer to the nearest tenth if necessary.
E
H
11.4
D
7
F
G
31
The measure of side GH is 50.486 units.
Two triangles are similar if they share the same set of internal angles, that is, the following conditions are met:
[tex]\angle C \cong \angle F[/tex] (1)
[tex]\angle E \cong \angle H[/tex] (2)
[tex]\angle D \cong \angle G[/tex] (3)
Then, we can determine the length of the line segment [tex]GH[/tex] by the following relationship:
[tex]\frac{CD}{FG} = \frac{DE}{GH}[/tex] (4)
If we know that [tex]CD = 7[/tex], [tex]FG = 31[/tex] and [tex]DE = 11.4[/tex], then the value of the line segment [tex]GH[/tex] is:
[tex]GH = \frac{FG\cdot DE}{CD}[/tex]
[tex]GH = \frac{31\cdot 11.4}{7}[/tex]
[tex]GH = 50.486[/tex]
The measure of side GH is 50.486 units.
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Please help ASAP. Trigonometry
Write TWO different equations that you could use to solve for x. You don't need to solve.
Answer:
cos(52°) = 18/x
x = 18·sec(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this geometry, that means ...
cos(52°) = 18/x
You can use the relation sec(x) = 1/cos(x) to rewrite this as ...
x = 18·sec(52°)
_____
You can also use the complementary angle and the complementary trig function.
sin(90° -52°) = 18/x
I need help with this problem
Solve the following system of equations using elimination by multiplication.
If the given equations are indeed
[tex]\begin{cases}x-\frac4{5y} = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]
we can solve by substitution. Solve the second equation for x :
[tex]-14x - 4y = -46[/tex]
[tex]\implies 7x + 2y = 23[/tex]
[tex]\implies7x = 23 - 2y[/tex]
[tex]\implies x = (23 - 2y)/7[/tex]
Substitute this into the first equation and solve for y :
[tex]\dfrac{23-2y}7 - \dfrac4{5y} = 9\dfrac45[/tex]
On the right side, write the mixed number as an improper fraction:
[tex]9 + \dfrac45 = \dfrac{45}5 + \dfrac45 = \dfrac{45+4}5 = \dfrac{49}5[/tex]
[tex]\implies \dfrac{23-2y}7 - \dfrac4{5y} = \dfrac{49}5[/tex]
Multiply both sides of this equation by 35y (the LCM of the denominator of all three fractions)
[tex]35y \times \dfrac{23-2y}7 - 35y \times \dfrac4{5y} = 35y \times \dfrac{49}5[/tex]
[tex]5y\times(23-2y) - 7\times4 = 7y \times 49[/tex]
[tex]115y - 10y^2 - 28 = 343y[/tex]
[tex]10y^2 + 228y + 28 = 0[/tex]
[tex]5y^2 + 114y + 14 = 0[/tex]
To solve the quadratic, I'll complete the square :
[tex]5\left(y^2 + \dfrac{114}5y\right) + 14 = 0[/tex]
[tex]5\left(\left(y + \dfrac{57}5\right)^2 - \left(\dfrac{57}5\right)^2 \right) + 14 = 0[/tex]
[tex]5\left(y + \dfrac{57}5\right)^2 - \dfrac{57^2}5 + 14 = 0[/tex]
[tex]5\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}5[/tex]
This system has no real solutions since the square of any real number must be positive.
If we allow complex numbers, we can continue solving to end up with two complex solutions for y,
[tex]\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}{25}[/tex]
[tex]y + \dfrac{57}5 = \pm i \sqrt{\dfrac{3179}{25}}[/tex]
[tex]y = -\dfrac{57}5 \pm i\dfrac{17\sqrt{11}}5[/tex]
and we can go on to solve for x.
Hence my comment; I suspect you meant to write the system
[tex]\begin{cases}x-\frac45 y = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]
because its solution is far simpler. Multiplying through the first equation by 5 gives
[tex]5\times x - 5 \times \dfrac45 y = 5 \times 9\dfrac45[/tex]
[tex]\implies 5x - 4y = 49[/tex]
(since we know 9 + 4/5 = 49/5)
Meanwhile, multiplying through the second equation by -1 gives
[tex]-1 \times (-14x) + (-1) \times (-4y) = -1 \times (-46)[/tex]
[tex]\implies 14x + 4y = 46[/tex]
So if we combine the two equations, we can eliminate y and solve for x :
[tex](5x - 4y) + (14x + 4y) = 49 + 46[/tex]
[tex]\implies 19x = 95[/tex]
[tex]\implies \boxed{x = 5}[/tex]
and solving for y gives
[tex]14x + 4y = 46[/tex]
[tex]\implies 70 + 4y = 46[/tex]
[tex]\implies 4y = -24[/tex]
[tex]\implies \boxed{y = -6}[/tex]
Martha fue a una tienda de dulces a granel y compró 150 gramos de caramelos a $10.29 por cada 100 gramos y 220 gramos de chispas a $21.29 por cada 100 gramos. ¿Cuánto dinero gastó en total?
Answer:
62.273
Step-by-step explanation:
sorry it took me a little while to translate i speak only english
what is twenty-five hundred-thousandths in decimal form
Answer:
5.620
Step-by-step explanation:
I hope this helps you
Answer:
0.00025
Step-by-step explanation:
Here is a example
Which table could be a partial set of values for a linear function?
Answer:
I think it might be the bottom right one but not sure
Tiffany babysits to earn extra money. She charges a fee of $15 per hour for one child, and then an added $30 overall for each additional child. If she wants to make a total of $150 this week, babysitting a family with 4 children, what is the minimum number of hours she can work for?
Answer: Minimum for $150: 2 Hours
Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!
Fill in the blanks with the answer to each question based on information provided.Two toy robots are having a race. Robot A can go 14 meter in 15 seconds. Robot B can go 1 meter in 50 seconds.1) If Robot A continues at that same speed, how long will it take to go 1 meter? Remember units! __________2) How long for Robot A to go 4 meters at that speed? Remember units! _________
Answer:
1 1/14 seconds4 2/7 secondsStep-by-step explanation:
We are being asked for times, so we can express the rate in terms of seconds per meter.
(15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter
__
1) It will take Robot A 1 1/14 seconds to go 1 meter.
2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)
Why 10 is down how we get it?
Find the sum of 4+3x and 5-4x+2x 2
Answer:
[tex]\huge\color{green}\boxed{\colorbox{black}{Answer ☘}}[/tex]
To find - sum of the given two terms.
[tex](4 + 3x) + (5 - 4x + 2x {}^{2} ) \\ 4 + 3x + 5 - 4x + 2x {}^{2} \\ = > 2x {}^{2} - x + 9[/tex]
—————————————————[tex]\color{purple}\boxed{\colorbox{black}{Additional Information♡}}[/tex]
Here ,we basically added the like terms together..
like, the terms ( 3x and -4x ) will be added together.. and the terms ( 4 and 5 ) will be added together...
since there's none other term having "x²" as the coefficient.. so 2x² will be left as it is!
hope helpful~
~ExhaustedZombieThe sum of the expression 4+3x and 5-4x+2x² is 2x² + 7x + 9
How to find sum of expressionsGiven:
4+3x
5-4x+2x²
Sum means addition of expressions(4+3x) + (5-4x+2x²)
= 4 + 3x + 5 - 4x + 2x²
= 2x² + 3x - 4x + 5 + 4
= 2x² + 7x + 9
Therefore, the sum of the expression is 2x² + 7x + 9
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Each box of candy canes has 12 candy canes. How much does each candy cane cost?
Based on the information given, the cost of each candy cane will be $3.00.
This is an incomplete information as you didn't provide the cost of the box. Let's assume that the cost of the box is $36.
From the information given, we are told that each box of candy canes has 12 candy canes. Therefore, the cost of each candy cane will be:
= $36 / 12
= $3.
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I need help with this
Answer:
a and b
Step-by-step explanation:
The two team captains agree to eliminate the halftime interval but one of the players insists on a halftime interval. What decision should the referee make
What the judge should do is adhere strictly to the rules.
This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.
Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.
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The referee will have to allow halftime interval as a result of one of the
players wanting it.
Every sport has rules which guides the game to ensure fair play and prevent
confusion from happening. Referee decisions are based on the rule of the
game but can also be negotiated.
In this scenario, if all the players wanted eliminate the halftime interval, it
could have been honored .But in this case, the referee has to follow the rules
of the game due to the other player disagreeing with the suggestion.
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ABC is an isosceles right triangle in which has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of ?.
The slope of B'C' is 1 and it can be determined by using formula of scale factor.
Given that,
ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
We have to determine,
What is the slope of B'C'?
According to the question,
ABC is an isosceles right triangle in which,
Slope of AB = -1
And AB is perpendicular to BC.
When the two lines are perpendicular to each other then,
[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
Length of Line segment A'B'= 1.8 × AB
So, the slope of the two-line Segment that is AB and A'B' are the same.
Slope of A'B'= -1
Length of Line segment C'B'= 1.8 × CB
So, the slope of the two lines that is CB and C'B' are the same.
The slope of B'C' is 1.
Hence, The required slope of B'C' is 1.
For more details Slope refer to the link given below.
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Answer:
Slope of 1
Step-by-step explanation:
C. 1
Kayla was asked to rewrite the polynomial expression x ^ 2 + 5x + 9 she rewrite the polynomial ? How could she rewrite with the polynomial?
Answer:
x²+6x+9
x²+3x+3x+9
x(x+3)+3(x+3)
=(x+3)(x+3)
Which of the following correctly simplifies the expression
(3^2 X 5^0 /4) ^2
Alg 2 the problem is below please help !!!
pls help if you can.
Answer:
A. 85 B. 87 C. 60
Step-by-step explanation:
As shown in the shapes, A, is a full circle making 360 degrees full. B, a half circle making 180 degrees half. C, a full circle again making 360 degrees full.
A: [360-(132+63+80)]
360 - 275
=85
B: [180(60+33)]
180 - 93
=87
C: [360(120+60+120)]
360 - 300
=60
I really really really need help with this
Answer:
404
Step-by-step explanation:
Simplify = 8 + 30 x 13 + 6
Left to right = 8 + 390 + 6
Result = 404
Leave a brainliest if this helped.
Answer:
404
Step-by-step explanation:
do the equation inside the brackets first (BIDMAS) - 5 x 6 = 30
48 / 6 = 8
8 + (30 x 13) + 6 = 38
30 x 13 = 390
8 + 390 + 6 = 404
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point.
3x + y = -2
y = 2x + 3
Answer:
(x, y) = (-1, 1)
Step-by-step explanation: