Answer:
For this case since we want a parallel line to -2x+1 we need the same slope so then m = -2 and we have:
[tex] y =-2 x+b[/tex]
Now we can find the intercept b with the condition given x= 4 , y=1 and we got:
[tex] 1 = -2*4 +b[/tex]
And solving for b we got:
[tex] b = 1+8 = 9[/tex]
And our equation would be:
[tex] y = -2x +9[/tex]
Step-by-step explanation:
For this case we need to find an equation for a line who is parallel to y = -2x + 1 and intersects the point (4,1)
The general equation for a line is given by:
[tex] y = mx +b[/tex]
For this case since we want a parallel line to -2x+1 we need the same slope so then m = -2 and we have:
[tex] y =-2 x+b[/tex]
Now we can find the intercept b with the condition given x= 4 , y=1 and we got:
[tex] 1 = -2*4 +b[/tex]
And solving for b we got:
[tex] b = 1+8 = 9[/tex]
And our equation would be:
[tex] y = -2x +9[/tex]
He has between 10 and 20 batteries. He counts the batteries by putting them into piles of 4 and finds that he has 3 left over. He then counted them by putting them into piles of 3 and found that he had one left over. How many batteries does he have?
Answer:
15 batteries
Step-by-step explanation:
If he puts the batteries in piles of 4, and there is 3 left over, the number of batteries he can have is:
2 piles: 4*2 + 3 = 11
3 piles: 4*3 + 3 = 15
4 piles: 4*4 + 3 = 19
Then, when he puts in piles of 3, there is no batteries left over, so the number of batteries is a multiple of 3.
From the 3 possibilities above (11, 15 and 19), only the number 15 is a multiple of 3, so the number of batteries is 15.
A normal distribution has a mean of 186.4 and a standard deviation of 48.9.
What range of values represents the upper 2.5% of the data?
a
X > 235.3
b
X > 333.1
c
X > 284.2
d
X > 186.4
We have been given that a normal distribution has a mean of 186.4 and a standard deviation of 48.9. We are asked to find the range of value that represents the upper 2.5% of the data.
We know that upper 2.5% of data would be 97.5% of data.
We will use z-score formula to solve our given problem.
[tex]z=\frac{x-\mu}{\sigma}[/tex], where,
z = z-score,
x = Random sample score,
[tex]\mu[/tex] = Mean,
[tex]\sigma[/tex] = Standard deviation.
Now we will use normal distribution table to find z-score corresponding to 97.5% area or 0.975.
We can see from the normal distribution table that z-score corresponding to area 0.975 is [tex]1.96[/tex].
[tex]1.96=\frac{x-186.4}{48.9}[/tex]
Let us solve for x.
[tex]1.96\cdot 48.9=\frac{x-186.4}{48.9}\cdot 48.9[/tex]
[tex]95.844=x-186.4[/tex]
[tex]95.844+186.4=x-186.4+186.4[/tex]
[tex]282.244=x[/tex]
Therefore, the range [tex]x>282.244[/tex] represents the upper 2.5% of the data.
find the area of the kite.
area = _[tex]m^{2}[/tex]
Answer:
24 m^2
Step-by-step explanation:
The area of a kite is the product of the diagonals divided by 2.
If the diagonals have lengths a and b, then area = ab/2
area = ab/2
a = horizontal diagonal = 2 m + 6 m = 8 m
b = vertical diagonal = 3 m + 3 m = 6 m
area = (8 m)(6 m)/2 = (48 m^2)/2 = 24 m^2
Rearrange your equation from part A by setting it equal to 0 and substituting y for 0. Then write the equation in the form y = (x – h)2 – c.
Answer:
y = (x - 1)^2 - 8
Step-by-step explanation:
Your answer from part A should be: (x - 1)^2 = 8
You are simply changing the format of the equation from
0 = (x - 1)^2 - 8 to y = (x - 1)^2 - 8
Hope this helps!
Answer:
y = (x-1)² - 8
Step-by-step explanation:
The response from part A is (x – 1)2 = 8, where h = 1 and c = 8.
Set the equation equal to 0:
0 = (x – 1)2 – 8.
Substitute y for 0 and keep the equation rewritten in the form y = (x – h)2 – c:
y = (x – 1)2 – 8.
Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . How can he order them ?
Answer:
Allan can order them from least to greatest.
Step-by-step explanation:
Answer:
First, Allan should write the fractions as decimals by dividing the numerator by the denominator. Then he can plot the points on the number line. Reading the plotted points from left to right gives the points in order, from least to greatest.
Step-by-step explanation:
Find the missing factor. 5y^2+4y-1=(5y-1)()
Answer:
(5y−1)(y+1)
Step-by-step explanation:
Answer:
(y + 1 )
Step-by-step explanation:
Given
5y² + 4y - 1
Consider the factors of the product of the y² term and the y- term which sum to give the coefficient of the y- term
product = 5 × - 1 = - 5 and sum = + 4
The factors are + 5 and - 1
Use these factors to split the y- term
5y² + 5y - y - 1 ( factor the first/second and third/fourth terms )
= 5y(y + 1) - 1(y + 1) ← factor out (y + 1) from each term
= (y + 1)(5y - 1)
The missing factor is (y + 1)
Which Venn diagram is NOT correct?
There is no picture how do I help
Which is the graph of f(x) = -(x + 3)(x + 1)?
Answer:
Step-by-step explanation:
Setting f(x) = -(x + 3)(x + 1) = 0 leads to identifying two roots/solutions of this equation: x = -3 and x = -1. The axis of symmetry is a vertical line halfway between these two roots: x = -2. This x = -2 is also the x-coordinate of the vertex. Evaluating f(x) = -(x + 3)(x + 1) at x = -2 gives us the y-coordinate of the vertex: y = -(-2 + 3)(-2 + 1) = -(1)(-1) = 1.
In summary, the vertex is at (-2, 1) and the two x-intercepts are (-3, 0) and (-1, 0). The y-intercept is found by setting x = 0 and finding y:
f(0) = -(0 + 3)(0 + 1) = -3, or (0, -3)
Next time, please share the answer choices. Thank you.
Answer:
B
Step-by-step explanation:
Edge 2021
What is the range of possible sizes for side xxx? < x <
According to the theory of the Triangle Inequality, so, the total of the 2 sides of the triangle must be larger than the length of the third side. Therefore, the possible length of a triangle is given by the difference of two sides x the sum of two sides.
Therefore,
[tex]\to 4.3-2.1< x <4.3+2.1 \\\\\to 2.2< x <6.4 \\\\[/tex]
So, the final answer is "[tex]2.2<x<6.4[/tex]" which is the possible length of x.
Learn more:
brainly.com/question/16090135
The range of possible sizes for side 'x' is from 1.5 to 4.5, inclusive of both endpoints.
Explanation:The question "What is the range of possible sizes for side xxx?" refers to finding the possible values that the variable 'x' can take. From the information provided, we understand that 'x' can be any number in the inclusive range from 1.5 to 4.5, which can be denoted mathematically as 1.5 ≤ x ≤ 4.5. This means that the smallest value 'x' can be is 1.5, and the largest value is 4.5. The range of possible sizes for 'x' is therefore between 1.5 and 4.5, including both of these endpoints.
22.2, -0.2, 2.02 smallest to largest
Answer:
-0.2, 2.02, 22.2
Explanation:
-0.2 is below zero, 2.02 is 20.18 less than 2.02
A number line is numbered in tenths Describe where you would plot √87.35
Answer:
Plot at 9.3
Step-by-step explanation:
Take the square root of 87.35
sqrt(87.35)
9.346122191
Rounding to the nearest tenth
9.3
Plot at 9.3
PLEASE HELP ME
. Find the surface area of the triangular pyramid. *
Answer:
89.4 yd
Step-by-step explanation:
Surface area of a triangular pyramid = B × H ÷ 2
6 × 5.2 ÷ 2 = 15.6
6 × 8.2 ÷ 2 = 24.6
6 × 8.2 ÷ 2 = 24.6
6 × 8.2 ÷ 2 = 24.6
15.6 + 24.6 + 24.6 + 24.6 = 89.4
Please help me on this question ASAP :)
Answer:
x=12, y=4
x=3, y=1
x=18, y=6
Step-by-step explanation:
To solve for x in the given table, you can plug in the values x into the rule and solve for y.
A house purchased for $226,000 has lost 4% of its value each year for the past five years. What is it worth now?
Answer:
The answer would be $184,274.23.
Step-by-step explanation:
After a 4% annual decrease in value over five years, a house that was bought for $226,000 would be worth around $183,896.7.
Explanation:The student's question pertains to a situation where a house's value depreciates, in this case, at a rate of 4% per year for five years. To find out how much the house would be worth now, we need to employ the formula for depreciations, that is P = P0 (1 - r)^n, where P is the final value, P0 the initial value, r the rate of decrease and n the number of periods the decrease has occurred over.
In this case, P0 would be the initial value of the house $226,000, r would be 4% (or 0.04 as a decimal), and n would be the number of years, which is 5. Substituting these values into the formula gives us and calculated we get P = $226,000 * (1 - 0.04)^5 = $183,896.7.
So after a 4% annual decrease in value over five years, the house that was bought for $226,000 would now be worth around $183,896.7.
Learn more about Depreciation here:https://brainly.com/question/33528280
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YO PLEASEEE HELP ASAP !!!!
What is the factored form of this quadratic trinomial?
x2 − x − 42
A. (x + 6)(x − 7)
B. (x + 14)(x − 3)
C. (x − 6)(x + 7)
D. (x − 14)(x + 3)
Answer:
The answer is A. (x+6)(x−7)
Step-by-step explanation:
I used a calculator.
Answer:
other person is right...
Step-by-step explanation:
its right on plato/edmentum though.
a town has a population of 14000 and grows at 4.5% each year. to the nearest tenth of a year how long will it be until the population will reach 41500
Answer:
about 6.6 years
Step-by-step explanation:
41,500=14,000*.45*x
41,500=6,300*x
41,000/6,300=x
6.5873=x
6.6=x
Answer:
24.7
Step-by-step explanation:
A 10 foot ladder is placed 4-feet from the edge of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.
A:10.8 feet
B:9.2 feet
C:2.4 feet
D:3.7 feet
The ladder is 9.2 feet up the building
The length (L) of the ladder is given as:
[tex]L = 10ft[/tex]
The distance (d) from the edge of the building is
[tex]d = 4ft[/tex]
The distance up the ladder is the height (h) of the ladder on the wall.
This is calculated using the following Pythagoras theorem
[tex]L^2 = d^2 + h^2[/tex]
So, we have:
[tex]10^2 = 4^2 + h^2[/tex]
Evaluate the exponents
[tex]100 = 16 + h^2[/tex]
Subtract 16 from both sides
[tex]84 = h^2[/tex]
Take square roots of both sides
[tex]9.2 = h[/tex]
Rewrite as
[tex]h =9.2[/tex]
Hence, the ladder is 9.2 feet up the building
Read more about Pythagoras theorems at:
https://brainly.com/question/20545047
What are the measures of those two angles? I’ll mark brainliest!
Answer:
Two angles of a quadrilateral : 220 and 90 deg.
The other two angles (x and y) are in ratio 2:3.
We have:
x + y = 360 - 220 - 90 = 50 (property of sum of 4 angles in quadrilateral)
x/y = 2/3 => x = 2y/3
=>2y/3 + y = 50
=> 5y/3 =50
=> 5y = 150
=> y = 30
=> x = 2 x 30/3 = 20
=> Two other angles are 20 and 30 deg
Hope this helps!
:)
What is the probability that the product of two dice is greater than
15 on two separate rolls?
Answer:
25/324
Step-by-step explanation:
Make a table of possible products:
[tex]\left[\begin{array}{ccccccc}&1&2&3&4&5&6\\1&1&2&3&4&5&6\\2&2&4&6&8&10&12\\3&3&6&9&12&15&18\\4&4&8&12&16&20&24\\5&5&10&15&20&25&30\\6&6&12&18&24&30&36\end{array}\right][/tex]
Of the 36 results, 10 are greater than 15.
The probability the product is greater than 15 on a single roll is 10/36 = 5/18.
The probability the product is greater than 15 on two rolls is (5/18)² = 25/324.
The expression x2 – 12x + 36 factors to (x - )^2
Answer:
(x-6)^2
Step-by-step explanation:
x^2-12x+36
=(x-6)(x-6)
=(x-6)^2
The list of multiples for 6 is infinite.
True or False?
Answer:
True
Step-by-step explanation:
As there are infinite numbers, the list of multiples are also infinite.
Multiples of 6 : 6, 12 , 18 , 24 ..............
Answer:
True; yes.
Step-by-step explanation:
Think about it, what does etc, etc mean? It means repetitive-a pattern, in a sort of way. So here are some multiples of 6:
6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,144,150,156,162,168,174,180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,270,276,282,288,294, etc.
As you can see, all I'm doing is adding 6 to every step I go. So when you say there is an infinite number, then these multiples are going to be infinite.
The expression (5 + 3) - (3 + 7) is a
sum.
product.
difference.
Answer:
DIFFERENCE
Step-by-step explanation:
It is a difference because you are subtracting or finding the difference between 5+3 and 3+7.
Rectangle QUAD has coordinates Q(4,5), U(4,10), A(11,10), and D(11,5). Upper Q prime Upper U prime Upper A prime Upper D primeQ′U′A′D′ is the image of QUAD after a dilation with center (0,0) and scale factor 5. What is the length of segment Upper Q prime Upper U primeQ′U′?
Answer:
25
Step-by-step explanation:
Answer: 25
find the length of segment QU.
First, we must find out what the coordinates are.
Q=(4,5) U=(4,10)
Then, Setup your equation by making the first coordinate pair equal. So,
Q= (4,5) would now equal Q=(5,5). That means we added 1. (when you add x ((x=the number you add to make equal)) you add x to the other side as well)
So, now we would add 1 (or how many you got) to U. Thus,
U=(4,10) would now equal Q=(5,10).
Next, set up the equation.
[tex]\sqrt{(Q)^{2} +(U)^{2}[/tex] (Q=(5,5) and U=(5,10).)
* You will now be subtracting the coordinates so, Q=(5-5) and U=(5-10)*
Next, Substitute the equation.
[tex]\sqrt{(5-5^{2} +(5-10)^{2}[/tex]
After, we solve.
[tex]\sqrt{0^{2} +(5-10)^{2}[/tex]
*the sum of two opposites equals 0. 5-5=0*
Next, Subtract (5-10).
[tex]\sqrt{0^{2} +(-5)^{2}[/tex]
Next, 0 raised to any positive power equals 0
[tex]\sqrt{0+(-5)^{2}[/tex]
Next, When adding or subtracting 0, the quantity does not change.
[tex]\sqrt{(-5)^{2}[/tex]
Next, Reduce the index of the radical and exponent 2.
[tex]|-5| = 5[/tex]
So, The length of segment is 5.
Now, find the length of segment Upper Q'U', multiply the length of segment QU by the scale factor.
scale factor in this equation is 5.
Now, multiply.
5·5 = 25
So, the length of segment Q'U' is 25.
The length of segment Q'U' after the dilation with a scale factor of 5 is 25 units.
To find the length of segment Q'U' after the dilation with a scale factor of 5, we can calculate it step by step:
1. Calculate the new coordinates of Q' and U' after the dilation with a scale factor of 5 and center (0,0):
Q' coordinates: (4 5, 5 5) = (20, 25)
U' coordinates: (4 5, 10 5) = (20, 50)
2. Determine the distance between Q' and U' using the distance formula:
- Horizontal distance: 20 - 20 = 0
- Vertical distance: 50 - 25 = 25
3. Calculate the length of segment
using the Pythagorean theorem:
- Length = sqrt(0^2 + 25^2)
- Length = sqrt(0 + 625)
- Length = sqrt(625)
- Length = 25 units
Therefore, the length of segment Q'U' after the dilation with a scale factor of 5 is 25 units.
Find the surface area.
24 yd
15 yd
15 yd
+13 yd
15 yd
The surface area of the figure in square yards is 1275 square yards
Surface area of a prismThe surface area of a figure is the tota sum of all the area of the faces.
For the given diagram, it consist of 2 triangles and 3 rectangles
Area of the figure = 3(24 * 15) + (13* 15)
Surfacea area = 3(360) + 195
Surface area = 1080 + 195
Surface area = 1275 square yards
Hence the surface area of the figure in square yards is 1275 square yards
Learn more on surface area of prism here: https://brainly.com/question/1297098
Which functions have real zeros at 1 and 4? Check all that apply.
Answer:
B, D
Step-by-step explanation:
These are the correct answers.
Answer:
B. f(x) = x2 – 5x + 4
D. f(x) = –2x2 + 10x – 8
Step-by-step explanation:
guy above me is right
A ladder is leaning against the side of a 10 meter house if the base of the ladder is 3 meter away from house how tall is the ladder?
Answer:
Depth A trough is 12 feet long and 3 feet across the top (see figure). ... 3 8 25. Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. ... Construction A construction worker pulls a five-meter plank up the side of a ...
Step-by-step explanation:
Easy Question, Easy Points
Topic: Volume
Focus on question 12
Answer:
V = 0.6 m.
Step-by-step explanation:
Volume = l x w x h
in this case if you input the cube's values its volume = 1 m and 1 - 0.4 = 0.6m
Please mark as brainliest :)
Answer:
V=.6m
Step-by-step explanation:
Please mark as brainliest
solve for A A/20 = 7
Answer:
A = 140
Step-by-step explanation:
Answer:
in my opinion the answer is A=140
Step-by-step explanation:
Simplify 6 x 10−7 2 x 105 .
Answer:
-49
Step-by-step explanation:
it would be this because first we would have to figure out what 6*10 is that why we know what to distribute . so once we figure it out , which is 70 . We would then subtract 14 from 70 . Since 7 is right next to 2 we would then multiply it to get to 14. Once we get that you should get 56, from there you would subtract 56 to 105 , and get your answer.
ANSWER ALL FIRST CORRECT ANSWER GETS BRAINLIEST, THANKS AND FIVE STAR!!
Answer:
1. -5
2. -10
3. 12
4. -6
5. 20
6. -7
7. -10
8. -19
9. 4
10. -5
11. -10
12. 8
13. 2
14. -8
15. -1
16. 9
17. -7
18. 2
19. 4
20. -17
21. 0
22. -10
23. 2
24. 1
25. 9
26. -6
27. -12
28. 4
29. -3
30. -68
Answer:
it was nt quite old enough to be a buck
Step-by-step explanation: