Step-by-step explanation:
1.5x + 6-3= 4.5x- 2
1.5x+3=4.5x-2
we transposed
4.5x-1.5x= 3+2
3x= 5
we divide both sides by 3
3x/3= 5/3
x= 5/3
the locus of points in a plane
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
Answer:
y = 1.
Step-by-step explanation:
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
What is the Alternate Hypothesis for the following situation:
At most 60% of American vote in the presidential elections.
Answer:
The alternative hypothesis is; Hₐ;
[tex]\hat p[/tex] > 60%
Step-by-step explanation:
The given hypothesis of the number of Americans that vote in the presidential election is;
Hypothesis; At most 60% of Americans vote in the presidential elections
Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%
The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =
The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%
Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.
Yesterday, there were 100 problems assigned for math homework. Deb did 70% of them
correctly. How many problems did Deb get right?
problems
Submit
Worltout
Answer:
70 problems are correct
Step-by-step explanation:
Can somebody help meeeeeeee
Answer:
C is the answer
Step-by-step explanation:
Answer:
It's C
Step-by-step explanation:
Help please...NO LINKS
Anyone know how to do this?
Answer:
60.22in^2.
Step-by-step explanation:
First, find the area of the rectangle. 14.1x7=98.7.
Then, we need to find the area of the circle and subtract it from the area of the rectangle.
The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).
Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.
Find rectangle area: 14.1 x 7 = 98.7
Find areas of semicircles: a = 3.14(3.5)^2 = 76.96
Subtract area of semicircles: 98.7 - 76.96 = 21.74
convert five whole five over eight from fraction to decimals
Answer:
5.625 is the correct answer to convert five whole five over eight from fraction to decimals.
Step-by-step explanation:
=5/8+5
=0.625+5
=5.625#
36abc + 54ad = ? im struggling with math
Answer:
18a(2bc+3d)
Step-by-step explanation:
36abc + 54ad = ?
Rewrite as ;
=2*18abc+3*18ad
Factor out common term 18a
18a(2bc+3d)
I HOPE THIS HELPED!!!
The distance between second and third bases on a regulation baseball field is 90 feet. Scott says he needs to multiply to find the number of yards between the second and third bases. Do you agree? Support your answer
Answer:
Yes, distance in yards can be obtained by multiplication.
Step-by-step explanation:
Given that the distance between tow points is 90 feets, The distance between these two points in yards can be obtained either by multiplication or division.
I foot = 0.3333 yards
To convert distance between the second and third bases from feet to yard ;
Multiply distance in feets by 0.3333 to obtain the corresponding distance in yards ;
90 * 0.3333 = 29.997 = 30 yards
A can of juice has a radius of 5 inches and a height of 8 inches. What is the volume of the can?
Answer:
use your formula and plug it in and solve it
Step-by-step explanation:
PLS HELPPPP!!!!!! I GIVE BRAINLEST
Answer: 57 R3
Answer:
57 R 3
Step-by-step explanation:
6 goes into 34 5 times with 4 extra, pull down the 5, and 6 goes into 45 7 times with 3 extra. So the answer is 57 R 3.
A point (–2, 6) is translated 4 units up. What are the coordinates of the new point?
Answer:
(-2,10)
Step-by-step explanation:
Given f(x) = 3x2 + kx + 19, and the remainder when
f(x) is divided by x + 3 is 37, then what is the value of k?
Answer:
[tex]f{x} = x + 3 = 0 \\ x = - 3 \\ f( - 3) = 3( - 3) {}^{2} + k( - 3) + 19 = 37 \\ f( - 3) = 27 - 3k + 19 = 37 \\ f( - 3) = 46 - 3k = 37 \\ f( - 3) = 46 - 37 = 3k \\ f( - 3) = 9 = 3k \\ f( - 3) = k = 3[/tex]
A telephone pole that is 14 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 ft. above the ground, what is the angle that the telephone pole makes with the ground?
Answer:
45°
Step-by-step explanation:
made a special triangle 45-45-90,
Answer:
45.6 degrees
Step-by-step explanation:
see image
y is less than or equal to -24
Answer:
Here is a graph of how this would look for you
Am I correct?
Please please please help this is due tommorow and if you help you will have good luck
Answer:
yes
Step-by-step explanation:
Find the area of the triangle
Answer:
32
Step-by-step explanation:
because the formula if a triangle is base times height divided by 2 which is 16x4÷2=32
PLEASE HELP ME A soccer field is bordered on three sides by a parking lot of width x. The total length of the field and parking lot is 300 m, and the total width is 200 m.
The area of the field is 30.000 m². How wide is the parking lot?
Answer:
Step-by-step explanation:
Assuming the parking lot is along both widths of the field and only once along the length:
the length is (300 - 2x)
the width is (200 -x)
the area is (300-2x)(200-x) = 30000
60000 -300x - 400x +2x^2 = 30000
2x^2 -700x + 30000 = 0
x^2 - 350x + 15000 = 0
(x - 300 )(x - 50 ) = 0
x = 300 or x=50
x=300 results in negative measures.
the parking lot is x=50 wide
the length of the field is 200, the width of the field is 150
What would be formed by a cross-section parallel to the base of a octagonal pyramid?
A. octagon
B. circle
C. trapezoid
D. triangle
Answer:
A. octagon would be formed by a cross-section parallel to the base of a octagonal pyramid.
Write the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (4,7).
Answer:
y=-3/2x+13
Step-by-step explanation:
Convert to slope-intercept form (y=mx+b):
-3x+2y=10
-3x-10+2y=0
-3x-10=-2y
-3/2x-5=y
y=-3/2x-5
Parallel lines have the same slope, so the slope of the equation will be m₁=m₂ where -3/2=-3/2
Solving for b, the y-intercept, we get:
y=-3/2x+b (Equation so far)
7=-3/2(4)+b [Plugging in (4,7)]
7=-12/2+b
7=-6+b
13=b
Therefore, the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (4,7) is y=-3/2x+13
Jimmy buys 5 notebooks that each cost the same amount and 1 binder that costs $7.50. The total cost is $18.75. How much does each notebook cost?
Choices:
A. $2.25
B. $5.24
C.$2.52
D.$3.80
Answer:
A. $2.25
Step-by-step explanation:
If you subtract $7.50 from $18.75 you get $11.25, then divide that by 5 and you'll get $2.25.
Hope this was useful.
Answer:
The answer would be $2.25
Step-by-step explanation:
If you multiply 2.25 with 5 you get 11.25 so now you just add the 7.50 to it and that's how you get 18.75
LAST QUESTION!!!!!!!!!!!
segment AB had a mid point at (-1,-1). point A coordinates (3,2). what are the coordinates of B?
Answer:
Just put the opposite coordinates on the other side of the segment and thats your answer!
Step-by-step explanation:
Type the correct answer in each box. Round your answers to the nearest dollar.
These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:
R(x) = -31.72x2 + 2,030x
C(x) = -126.96x + 26,391
The maximum profit of $ Blank
can be made when the selling price of the dog food is set to $ Blank
per bag.
there are two answers
Answer:
$10,277.32
Step-by-step explanation:
Given the revenue and cost function
R(x) = -31.72x^2 + 2,030x
C(x) = -126.96x + 26,391
The profit function is expressed as;
P(x) = R(x) - C(x)
P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,156.96x - 26,391
To have maximum profit, d
The maximum profit dP/dx = 0
dP/dx = -63.44x+2156.96
-63.44x+2156.96=0
63.44x = 2156.96
X = 2156.96/63.44
x = 34
Get the profit
P(34) = -31.72(34)² + 2,156.96(34)- 26,391
P(34) = -36668.32+73336.64-26391
P(34) = 10,277.32
Hence the maximum profit that can be made is $10,277.32
Let A be the set of cities in the U.S.A., and let B be the set of the 50 states in the U.S.A. Define the relation R by specifying that (a, b) belongs to R if a city with name a is in the state b. For instance, (Boulder, Colorado), (Bangor, Maine), (Ann Arbor, Michigan), (Middletown, New Jersey), (Middletown, New York), (Cupertino, California), and (Red Bank, New Jersey) are in R.
What’s the difference between length and dimension? pls provide some examples too.
Answer:
length is longer
Step-by-step explanation:
length is llonger than dimensions
Answer:
length, is how tall it is....... dimensions is like lenght width and depth
Step-by-step explanation:
a line going up would eb the length,
dimentsions....l lengths...._ width ..... depth /
A tank that holds 6000 gallons of water may be filled by two pipes. One pipe pours water into the tank at the rate of 80 gallons per minute. The other fills the tank at the rate of 120 gallons per minute.
(a) If the pipes run simultaneously, how long will it take to fill the tank?
(b) The small pipe is opened and water is run into the tank for a certain length of time. Then this pipe is shut off and the large one is used to finish filling the tank. How long was each pipe used if it took 60 minutes to fill the tank?
(c) The large pipe alone is opened for a certain time and then both pipes together are used to finish filling the tank. If it takes 34 minutes to fill the tank in this manner, how long was the small pipe used?
Answer:
Below.
Step-by-step explanation:
Working together the rate is 80 + 120 = 200 gallons per minute.
(a) Time to fill tank = 6000 / 200 = 30 minutes.
(b) Let length of time the small pipe was used be x minutes , the the large pipe was used for is 60-x minutes.
Volume delivered by small pipe = y gallons, and by large pipe = 6000-y gallons.
Rate for small pipe = 80 = y/x.
Rate for large pipe = 120 = (6000-y) / 60-x.
y/x = 80
(6000-y) / 60-x = 120
From first equation y = 80x so:
6000 - 80 x = 7200 - 120x
40x = 1200
x = 30
So time for small pipe = 30 and time for large on = 30 minutes also.
C. In a similar way to part B:
y/x = 120
(6000-y) / 34 - x = 200
(6000-120x) / 34 - x = 200
6000 - 120x = 6800 - 200x
80x = 800 so the large pipe on its own took 10 minutes and the small pipe was used for 34 - 10 = 24 minutes.
In a bag, there are 16 marbles: 4 green, 2 yellow, 9 orange, and 1 blue. What is the probability of randomly choosing a green marble?
Answer: 4/16 or 1/4 (simplified)
Answer:
1/4
Step-by-step explanation:
put # of green over total # of marbles in bag
4/16 and simplify by dividing both by 4
1/4
Can yall pls answer just number 2 for me pls Its due late and im rlly tryna make up my work ill definetly give brainliest just pls : (
Answer:
24y + 16
Step-by-step explanation:
If your searching for number 2 itself, the answer will be 24y + 16, because because you have to multily whats out of the brackets by whats in the brackets. 3y+2 is in the brackets so 8 times whats in the braackets gives u the answer.
PLEASE HELPP I AM FAILING AND I NEED THIS ASAP!!! TYSM
Use the function f(x) = 2 sin x-1 to identify the following.
A. amplitude =
B. period =
C. midline=
Answer:
See below for answers
Step-by-step explanation:
Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?
Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].
Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].
Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.
23 points!!!!!!
If the first 2 sides of a triangle are 6 cm and 4 cm, which of the following are possibilities for the other side? Choose all that apply.
2.5 cm
2 cm
1 cm
4 cm
Answer:
2.5cm and 4cmStep-by-step explanation:
According to Triangle Inequality Property:
Measurement of any two sides of the triangle should be greater than the third side
So,
For 2.5,
6 + 4 = 10 > 2.5
4 + 2.5 = 6.5 > 6
6 + 2.5 = 8.5 > 4
For 4,
6 + 4 = 10 > 4
4 + 6 = 10 > 4
4 + 4 = 8 > 6
While for 1 and 2,
4 + 1 = 5 < 6
and
4 + 2 = 6 = 6
Hence,
Only 2.5 and 4 are the possible measurements.