Answer:
David scored : 24 < 6x = 0
Step-by-step explanation:
From the information given;
David scored ??? points less than six times the number of points Rich scored in a video game.
If ??? represents the number of points scored by Rich
The objective is to write an expression representing the number of points scored by David.
since the value of David points and Rich letter representing the number of points scored by RIch are not given, Let's based our calculation on assumptions, the main thing is to understand the the process in solving the question.
Assumption:
Let assume that,
David scored 24 points and x should be the number of points scored by Rich
Then; the linear equation representing David score is:
David scored : 24 < 6x = 0
What is the point-slope form of a line with slope 4/5 that contains the point
(-2, 1)?
Answer:
Y-1=4/5(x-(-2))
Step-by-step explanation:
Point slope form is written as y-y1=M(x-X1)
M is the slope
so replace the variables for the given value
Y-1=4/5(x-(-2))
Answer: y - 1 = 4/5 (x + 2)
Step-by-step explanation:
16. Jessica was given the area and the length of the base of a triangle. A = 17.5 units, b = 5 units. She solved the formula for area for h to find the height of the triangle. Determine if Jessica solved the equation correctly and found the correct answer. If not, describe what mistake she made and solve the formula for h correctly and justify your steps.
A = 1/2bh
1/2A • b = h
1/2 (17.5)(5) = h
43.75 = h
The height of the triangle is 43.75 units.
Answer:
h = 7 units
Step-by-step explanation:
Jessica made an error with the [tex]\frac{1}{2}[/tex] in that she multiplied A by it instead of dividing.
Given
A = [tex]\frac{1}{2}[/tex] bh
with A = 17.5 and b = 5, then
17.5 = [tex]\frac{1}{2}[/tex] × h × 5 ( multiply both sides by 2 to clear the fraction )
35 = 5h ( divide both sides by 5 )
h = 7
it is wrong .
Jessica's mistake:
A = 1/2bh
1/2A • b = h >she should multiply the area with 2 not 1/2 and divide the area by b rather than multiply by b
1/2 (17.5)(5) = h
43.75 = h
correct answer:
A = 1/2bh
2A/b=h
h=2(17.5)/5
h=7
25 percent of 510,000
Answer:
127 500
Step-by-step explanation:
Let x be the missing value.
● 510 000 => 100
● x => 25
x = (25*51000)÷100 = 127 500
Answer:
hope it helps
Step-by-step explanation:
25 percent of 510,000 = 127,500
Find the area of this shape.
4 cm
2 cm
4 cm
4 cm
-
1
5.75 cm
1
1
The area of the shape is __
square centimeters.
Answer:
shape AREA= 35cm^2
Step-by-step explanation:
you should know that this shape is a combination of triangle and trapezoid. therefore you have to find the area of each shape and add them.
A=h/2(b1 + b2) for trapezoid
A=2/2((4+4)+4)
A=1*12
A=12cm^2
A=bh/2. for TRIANGLE
A=1/2((4+4)*5.75)
A=1/2(46)
A=23cm^2
shape AREA= triangle AREA + trapezoid AREA
shape AREA=12cm^2 + 23cm^2
shape AREA= 35cm^2
BC=6, EF=12
Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT
A: AA
B: SAS
C: SSS
D: NOT
Answer:
C: SSS
Step-by-step explanation:
Two triangle are said to be similar if they have the same shape and proportion. This means that their angles are the same or their sides are in proportion. They are similar if:
i) All three corresponding angles are the same (AAA)
ii) All three corresponding sides are the same proportion (SSS)
iii) Two corresponding angles are equal and a side is in the same proportion (ASA)
iv) Two sides are in the same proportion and a corresponding angles are the same (SAS)
Given that:
AB = 12, BC = 6, AC = 3, DE = 24, EF = 12 and DF = 6
[tex]\frac{DE}{AB} =\frac{DF}{AC} =\frac{EF}{BC}\\\\\frac{24}{12}=\frac{6}{3}=\frac{12}{6}=2[/tex]
Since All the sides are in the same proportion, it supports the SSS rule.
Answer: SSS
I have done this assignment before
Lisa flies from San Francisco to New York (2500 mi) in 5 hours and then flies from New York to Rome (3487.5 mi) at 465 mph. What is the average speed for her entire trip?
Answer:
443.1305
Step-by-step explanation:
1 mile=0.869 nautical miles
1 mph=0.869 knots
Average speed=Distance/time
Average speed=2172.5/5
=434.5
404.09=3487.5/hours
=8.6305
434.5+8.6305
=443.1305
What is the volume of a cylindrical garbage pail with a radius of 10 centimeters and a height of 50 centimeters?
Answer:
500[tex]\pi[/tex] or around 1570
Step-by-step explanation:
The formula for a volume of a cylinder is [tex]r^{2}h\pi[/tex]
The cylindrical garbage pain has a volume of 15700 cm².
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
The given cylindrical garbage has a radius(r) = 10 cm and a height(h) of
50 cm.
∴ The volume of the cylindrical garbage is = π(10)²×50 cm².
= 5000π cm².
= 15700 cm².
learn more about cylinders here :
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Help me with this please I have no idea what to do. It says solve for a if the line through the two given points has the given slope a, 3) and (-3, - 1), m = -2
Answer:
a=-5
Step-by-step explanation:
When you do this every time the slope will go down 2 and over 1 which is rise over run or slope. You can see the y coordinates go down 4 points and every time is should go down 2 so you will know that it would have gone down 2 times so a+2 should equal -3 so if we subtract 2 from both sides we would get a=-5 and that is our answer.
Answer:
a = - 5
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (a, 3)
m = [tex]\frac{3+1}{a+3}[/tex] = [tex]\frac{4}{a+3}[/tex] = - 2 ( multiply both sides by a + 3 )
- 2(a + 3) = 4 ( divide both sides by - 2 )
a + 3 = - 2 ( subtract 3 from both sides )
a = - 5
Point P has coordinates P(-3,5).
What are the coordinates of the image P" after I translate point P: 2
units to the right 3 units up and then I reflect its image across the x-
axis?
P starts at (-3,5)
Move to the right 2 units and you'll get to (-1,5). We add 2 to the x coordinate here.
Then shift the point up three units to get to (-1,8). We add 3 to the y coordinate.
Finally, reflect over the x axis to get the answer (-1, -8)
Note how the y coordinate flipped in sign but the x coordinate stays the same
HELP PLEASE!!
Below is the graph of f(x)=2ln(x). How would you describe the graph of g(x)=4ln(x)?
Reasoning:
g(x) = 4*ln(x)
g(x) = 2*2ln(x)
g(x) = 2*f(x)
Whatever the output f(x) is, it is doubled to get g(x). Recall that y = f(x), so we're really doubling the y values to visually stretch it vertically by a factor of 2. In short, g(x) is twice as tall compared to f(x).
Answer:
C. g(x) stretches f(x) vertically by a factor of 2.
Step-by-step explanation:
a p e x
rational equations representing work and rate
Answer:
3.6hours
Step-by-step explanation:
kevin-6hrs
so he gets 1/6 called in 1 minute
Anne-9 hrs
so she gets 1/9 called in 1 minute
together
1/6+1/9=5/18 called in one minute
so what about all which are 18/18
you get 3.6 hrs I guess
Can someone pls help will mark u as brainliest
Answer:
9*((2-1)/9)
or
2 -1
9
2-9 =-7
9. 9
9× -7
9
=-7
2- 3
9. -3
=(1.22222222222)
or
11/9
or
1*(2/9)
A system of linear equations is shown on the graph. The equation of one of the lines is y = 1/2x + 4
Answer:
[tex] y = 3x - 1 [/tex]
Step-by-step Explanation:
From the graph given, let's label the lines as line A and line B. As indicated in the attachment below.
The equation of a line is given as y = mx + b
Where, m is the slope, which is:
[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]
b is the y-intercept. It is the point at which the line crosses or intercepts the y-axis. At this point, x = 0.
Having known this, let's figure out which of the lines has the equation, y = ½x + 4
From the equation given, it means the line's m = ½, and it's y-intercept (b), where the line intercepts the y-axis = 4.
Taking a look at line A and B that we've labelled in the attachment below, line A intercepts the y-axis at 4. This means value of b for line A = 4.
If we calculate the slope (m) for line A using the points labelled in the attachment below, we would arrive at ½ as the slope (m) of line A.
Therefore, the equation y = ½x + 4 is for line A.
Let's find the equation for line B.
=>Find the slope (m) of line B using any 2 coordinate pairs of line B.
We're using the 2 coordinates points, (0, -1), (-1, -4) as indicated in the attachment below.
[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] m = \frac{-4 - (-1)}{-1 - 0} [/tex]
[tex] m = \frac{-4 + 1)}{-1} [/tex]
[tex] m = \frac{-3)}{-1} [/tex]
[tex] m = 3 [/tex]
Line B intercepts the y-axis at -1. Therefore, the y-intercept (b) for line B = -1
The equation for line B would be:
[tex] y = 3x - 1 [/tex]
Find the equation of a line whose x intercept is 5 and y intercept is 2.
Answer:
[tex]y = - \frac{2}{5} x + 2[/tex]
The equation of the graphed line is 2x – y = –6. A coordinate plane with a line passing through (negative 3, 0) and (0, 6). What is the x-intercept of the graph?
Answer:
A: -3
Step-by-step explanation:
I got it right on my quiz!
If equation of the graphed line is 2x – y = –6 then the x-intercept of the graph is -3.
To find the x-intercept of the graph, we need to determine the x-coordinate where the line intersects the x-axis.
At the x-intercept, the y-coordinate is zero.
Given the equation of the line as 2x - y = -6.
we can substitute y = 0 since it is the y-coordinate at the x-intercept.
2x - 0 = -6
2x = -6
Divide both sides by 2:
x = -6/2
x = -3
Therefore, the x-intercept of the graph is -3.
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Please answer this in two minutes
Answer:
Not a triangle
Step-by-step explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.
how do you find y=-4x+3 on a table
(04.01 LC)
Which of the tables represents a function?
Table A
Input: 4, 5, 4,
Output: 2,9,7,
Table B
Input: 9,9,7,
Output: 2,3,5,
Table C
Input: 4,6,2,
Output: 3,5,7,
Table D
Input: 8,6,8,
Output: 7,5,5,
A) Table A
B) Table B
C) Table C
D) Table D
With tables A, B and D, we have repeated input (x) values.
Table A has x = 4 repeated. So the input x = 4 leads to both outputs y = 2 and y = 7 at the same time. With any function, we must have exactly one and only one output for any given input. So this is why table A is not a function. Tables B and D are not functions for similar reasons.
Table C on the other hand has unique inputs that do not repeat. The input x = 4 only leads to y = 3, x = 6 pairs with y = 5, and x = 2 outputs to y = 7. Therefore we have a function here.
Jack challenged Jill to a race around a curve of a track. Jack took lane 8 with Jill at lane 1. If the radius of lane 1 is half of lane 8, what is the distance in metres Jack has to run if Jill ran a distance of 50m?
Answer:jac ganko
Step-by-step explanation:
What steps do you use to solve a system of two equations using elimination? For example:
7x +2y = -32
-3x+2y = -70
Answer:
Step-by-step explanation:
eliminate either vraible, here it is easy to eleimate y, by just subtacting, then solve for x. When you get the value of x, plug in one of the equation and find y. ther you go
Answer:
x= 3.8
y= -29.3
Step-by-step explanation:
A cylinder has a volume of 1200 meters cubed. What is the volume of a cone with the same radius and height? A. 400 m3 B. 900 m3 C. 1600 m3 D. 3600 m3
Hey there!
The volume of a cone is always 1/3 of that of a cylinder with the same except dimensions. You multiply the base by the height and then divide by three!
This means that if the cylinder has a volume of 1200 meters cubed, you simply divide by three, giving you 400 meters cubed !
The answer is A. 400 m³.
Have a wonderful day! :D
Answer:900
Step-by-step explanation:A cylinder has more volume considering because of the space but a cone simply has less
Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) X is the number of red marbles that Suzan has in her hand after she selects four marbles from a bag containing four red marbles and two green ones.
Answer:
The answer is below
Step-by-step explanation:
Since they are two green balls, x cannot assume value of 0 and 1. The minimum number of red balls must be two since there are only two green balls and we need to select 4 balls
For x = 2 (select two red balls from 4 red balls and 2 green balls from 2 green balls):
P(x = 2) = [tex]\frac{C(4,2)*C(2,2)}{C(6,2)} =\frac{6}{15}[/tex]
For x = 3 (select 3 red balls from 4 red balls and 1 green balls from 2 green balls):
P(x = 3) = [tex]\frac{C(4,3)*C(2,1)}{C(6,2)} =\frac{8}{15}[/tex]
For x = 4 (select 4 red balls from 4 red balls and 0 green balls from 2 green balls):
P(x = 4) = [tex]\frac{C(4,4)*C(2,0)}{C(6,2)} =\frac{1}{15}[/tex]
Expected value = E(x) = ΣxP(x) = (2×6/15) + (3×8/15) + (4×1/15) = 40/15 = 2.67
Variance = Σx²P(x) - [E(x)]² = (2²×6/15) + (3²×8/15) + (4²×1/15) - (40/15)² = 80/225 = 0.36
Standard deviation = √variance = √0.36 = 0.6
Using the hypergeometric distribution, it is found that:
The expected value is of 2.67.The variance is of 0.356.The standard deviation is of 0.596.The marbles are chosen without replacement, hence, the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this problem:
6 marbles, hence [tex]N = 6[/tex]4 red marbles, hence [tex]k = 4[/tex]She selects 4 marbles, hence [tex]n = 4[/tex].The expected value is:
[tex]E(X) = \frac{nk}{N}[/tex]
Hence:
[tex]E(X) = \frac{4(4)}{6} = 2.67[/tex]
The expected value is of 2.67.
The variance is:
[tex]V(X) = \frac{nk(N-k)(N-n)}{N^2(N-1)}[/tex]
Hence:
[tex]V(X) = \frac{4(4)(2)(2)}{6^2(6-1)} = 0.356[/tex]
The standard deviation is the square root of the variance, hence:
[tex]\sqrt{V(X)} = \sqrt{0.356} = 0.596[/tex]
The variance is of 0.356.The standard deviation is of 0.596.A similar problem is given at https://brainly.com/question/19426305
Previous problem : From Andy's house to Billy's hometown you can travel by 3 roads. And to get from Billy's hometown to Willie's house you can travel by 5 roads. How many possible ways are there to travel from Andy's house to Willie's house? From Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willie's house (see previous problem). How many way are there now to get from Andy's house to Willie's house?
Answer:
Andy's house to Billy's hometown 15 ways
Andy's house to Willie's hometown 2 ways.
Step-by-step explanation:
Andy's house to Billy's hometown there are 3 roads. There 5 road from billy's hometown to Willie's house . In total there will be 15 ways to travel which is calculated by 3 * 5. For traveling to Willie's hometown there will be two ways. There are two roads that are built to get to Willie's house.
Please help me with this question
Answer:
a. 30 meters per second
b. -10 meters per second
Step-by-step explanation:
a. Average rate of change for the height from 0 to 6.6 secs can be calculated using the formula, [tex] m = \frac{H(b) - H(a)}{b - a} [/tex]
Thus,
Where,
[tex] a = 0, H(0) = 0 [/tex]
[tex] b = 6.6, H(6.6) = 198 [/tex]
Plug in the values into the formula:
[tex] m = \frac{198 - 0}{6.6 - 0} [/tex]
[tex] m = \frac{198}{6.6} [/tex]
[tex] m = 30 [/tex]
b. Average rate of change for the height from 8.8 to 13.2 secs = tex] m = \frac{H(b) - H(a)}{b - a} [/tex]
Where,
[tex] a = 8.8, H(8.8) = 44 [/tex]
[tex] b = 13.2, H(13.2) = 0 [/tex]
Plug in the values:
[tex] m = \frac{0 - 44}{13.2 - 8.8} [/tex]
[tex] m = \frac{-44}{4.4} [/tex]
[tex] m = -10 [/tex]
Using appropriate properties of rational numbers, find the sum 34+421+78+57
easy.This answer is 590
True or False: The proportion of the population that has certain characteristics is the same as the probability that a randomly selected individual of the population has these same characteristics.
Answer:
True
Step-by-step explanation:
Solve this quadratic equation using the quadratic formula. 3x2 + 5x + 1 = 0
x=−0.23240812,−1.43425854
Are these fractions equivalent or
nonequivalent?
Answer:
no
Step-by-step explanation:
there is no factor to convert one into the other.
moreover, 19 is prime and 9 is not, so no way.
Triangle TQRS Find the value of x.
O x = 2
O x = 3
O x= 33
O x= 52
Answer:
x=3
Step-by-step explanation:
To solve for x, we will follow the steps below:
First note that exterior angle =two opposite interior angle
From the diagram below
(25x) ° + (57 + x)° = (45x)°
25x° + 57° + x° = 45x°
next step is to collect the like term
45x° - 25 x° - x° = 57°
19x° = 57°
Divide both-side of the equation by 19
19x°/ 19 = 57° /19
On the left-hand side of the equation 19 will cancel out 19 leaving us with just x° while on the right-hand side of the equation 57 will be divided by 19
x = 3
NEED HELP ASAP I DONT GET THIS
Answer:
x = 60
Step-by-step explanation:
In a circle, the sum of the angles that meet at a point is 360 degrees. So now that we have the total, we can subtract all the given information in the picture. We have 84, 75, 68, and x + 73. Now let us set up and equation for this problem.
360 = 84 + 75 + 68 + x + 73
Now combine like terms.
360 = x + 300
Now subtract 300 on both sides.
x = 60
And this is the value of x.
Answer:
50 degrees
Step-by-step explanation:
84 + 75 + 68 = 227
227 - 360 = 133
133 - 73 = 50
The answer is 50 degrees.