Answer:
B
Step-by-step explanation:
If p and q are both true, then p→q is true.
If p is true, q is false, then p→q is false.
If p is false, q is true, then p→q is true.
If p and q are both false, then p→q is true.
So if you know that p→q and p are both true, then q must be true (because if q is false, then p→q must be false).
what is the volume of a cyclinder with radius 4 and height 13
Answer:
117π or 367.56634047
Step-by-step explanation:
Volume = π × r² × h (r=radius and h=height)
Volume = π × 4² × 13
Volume = π × 9 × 13
Volume = π × 117
Volume = 117π
It took 5 people to clean a classroom in 4 hours. How long would it take 4 people? Please help
Answer:
3 hours
Step-by-step explanation:
Reduce the fraction to lowest terms m^2/m^2-n^2
Answer:
[tex]\boxed{\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}}[/tex]
Step-by-step explanation:
Factor [tex]\bold{m^2-n^2}[/tex]
[tex]\bold{\left(m+n\right)\left(m-n\right)}[/tex]
Rewrite Equation
[tex]\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}[/tex]
Answer:
[tex]\frac{m^2}{(m+n)(m-n)}[/tex]
Step-by-step explanation:
Here we have to simplify the denominator of the expression given in the question.
We will use the formula for
Difference of the squares which us given as under
[tex]a^2-b^2=(a+b)(a-b)[/tex]
Let us now simplify the denominator
[tex]m^2-n^2=(m+n)(m-n)[/tex]
Hence
Our answer is
[tex]\frac{m^2}{(m+n)(m-n)}[/tex]
A new pencil was 18 cm long. Now it measures 12.7 cm. How many centimeters of the pencil have been used?
18-12.7, 5.3 centimeters have been used
Answer- 5.3 cm
Step-by-step explanation:
18-12.7
Help! its division pretty easy now do it!
Solve the following:
8,106 ÷ 114
A) 71 R12
B) 75 R67
C) 82 R26
D) 87 R43
The answer is A) 71 R12
The answer would be A) 71 R12
Which of the following is an arithmetic sequence?
Answer:
0,2,4,6
Step-by-step explanation:
This sequence is arithmetic because the same number is being added each time: 2. With the others, the number being added changes every time.
ANSWER
[tex]0,2,4,6,8,...[/tex]
EXPLANATION
An arithmetic has a constant difference .
We check to see which of the given sequences has a constant difference.
0,2,4,6,8,... has a constant difference of
[tex]d=2-0=4-2=6-4=8-6=2[/tex]
hence it is an arithmetic sequence.
1,2,4,8,... is not an arithmetic sequence because there is no constant difference.
[tex]2-1 \ne4-2.[/tex]
1,4,8,13,... is also not an arithmetic sequence because there no constant difference.
[tex]4 - 1 \ne8 - 4[/tex]
The first option is correct.
Which linear equation describes the line passing through point (10,3) and has a y-intercept at (0,-1)?
Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:
C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]
The image shows a trapezoid ABCD that has been dilated to form a trapezoid A'B'C'D'. We need to determine which rule represents the dilation applied to trapezoid ABCD to create A'B'C'D'.
To find the rule, we can follow these steps:
1. Choose a Corresponding Point: Pick a point from the original figure and its corresponding point in the dilated figure.
2. Calculate Scale Factor: Determine the scale factor by comparing the distances of the chosen points from the origin.
3. Formulate the Rule: The rule for dilation with respect to the origin is given by [tex]\( (x, y) \to (kx, ky) \)[/tex], where [tex]\( k \)[/tex] is the scale factor.
Looking at the grid in the image:
- Point B has coordinates (-2, -3).
- Point B' has coordinates (-4, -6).
The coordinates of B' are exactly double those of B, indicating that every coordinate is scaled by a factor of 2. This fits the dilation rule of [tex]\( (x, y) \to (2x, 2y) \).[/tex]
Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:
C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]
This means the rule for the dilation is to multiply both the x and y coordinates by 2, which is the scale factor for the dilation.
the owner of an appliance store brought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?
Trigonometry please help #2 ASAP
1. cos (angle) = adjacent leg / hypotenuse
cos(50) = 10/X
x = 10/cos(50)
x = 15.6 feet
2.
tan(angle) = Opposite leg / adjacent leg
tan(5.5) = 600/x
x = 600/tan(5.5)
x = 6,231.2 feet.
Is this graph a parabola? Plz someone help!! 20pts
Yes the graph is a parabola
Step-by-step explanation:In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped. The trajectory of a projectile always shows parabolic path. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the applications of parabolas.
frank is a time-share brokers. his earnings are based on a graduated commission. he receives 3% on any time-share sale up to $10,000 and 5% for any amount over the $10,000. last saturday he sold a time-share for $10,500. how much did he make selling the time-share?
Answer:
$325
Step-by-step explanation:
Time-share = $10 500
On first $10 000 ,
Commission at 3 % = 0.03 × 10 000 = $300
On remaining $500,
Commission at 5 % = 0.05 × 500 = 25
Total commission = $325
Frank made $325 selling the time-share.
Given that y varies directly with x and that y = 60 when x = 20, find y when x = 12.
1.y varies directly with x
2.substitute the value of x and y in the equation below
y=kx
where k is the constant term
60=20k
k=60\20
k=30
:y=30x.....is the law
To find y when x is 12
You reinstate the law which is y=30x
Then substitutes the value of x to determine y
y=30*12
y=36.
What graph are present a proportional relationship I ready
Answer: The second one
Step-by-step explanation:it's the second one because the line goes strait through the orign
Ann, Jim, and Miguel sent a total of 115
text messages during the weekend. Jim sent 10
more messages than Ann. Miguel sent 3
times as many messages as Ann. How many messages did they each send?
Ann sent a total of 21 texts.
Jim sent a total of 31 texts.
Miguel sent a total of 63 texts.
A line has a rise of 6 and a slope of . What is the run? 30 90 120
Answer:
There's not enough information here to complete this problem.
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
i got it right i took the lesson
A cylindrical oil drum has a diameter of 2 feet and a height of 3 feet. What is the volume of the oil drum?
Final answer:
The volume of the cylindrical oil drum is 9.426 cubic feet.
Explanation:
The volume of a cylindrical oil drum can be calculated using the formula V = πr²h, where r is the radius of the drum and h is the height. In this case, the diameter of the drum is given as 2 feet, so the radius is 1 foot (since the radius is half the diameter). The height of the drum is given as 3 feet. Therefore, the volume of the oil drum can be calculated as follows:
V = 3.142 × (1 foot)² × 3 feet
Calculating this, we get:
V = 3.142 × 1 foot × 1 foot × 3 feet = 9.426 cubic feet
So, the volume of the oil drum is 9.426 cubic feet.
Is that right?
7x3=21
21+5=26
Answer:
yes
Step-by-step explanation:
the correct answer is 2 after rounding it off to the nearest number
Help me please assap
Answer: G
Step-by-step explanation:
(x, y) → ([tex]\frac{1}{8}x[/tex], [tex]\frac{1}{8}y[/tex])
means that the new quadrilateral will be [tex]\frac{1}{8}[/tex] the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.
625 / 2500 simplified?
Answer:1/4
Step-by-step explanation:
- Divide the numerator and the denominator by 625
- Divide the numbers
- YOUR FINAL ANSWER
Hope I was able to satisfy your needs
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{625}{2500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{125}{500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{25}{100}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{5}{20}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{1}{4}[/tex]
or
divide [tex]\frac{625}{2500}[/tex] by 625 numerator and denominator and get the same answer, [tex]\frac{1}{4}[/tex]
the slash[ / ]means to divide
plz give a brainliestttt
Jesse uses this expression to determine how much to pay, including tax and tip, when he goes out to a restaurant:
x(1 + 0.0825 + 0.18).
Part A
Identify the two factors of the expression.
Answer:
x is the price of the meal
(1+0.0825 + 0.18) is the total percentage on top of the price he pays with sales tax and tip.
Step-by-step explanation:
The factor x is the price of the meal. The factor (1 + 0.0825 + 0.18) is the 100% of the price, the sales tax on that price and the tip on the total. 1 + 0.0825 + 0.18 = 1.2625 is the total percentage he pays on the price. He pays 26.25% in addition of the price of the meal to cover tax and tip.
Simplify (−2)∙(2a−b)+3(a+b) PLz and Thanks
Answer:
-a+5b
Step-by-step explanation:
(-2)x(2a-b)+3(a+b)
Multiply
Remove Parenthesis
-2(2a-b)+3a+3b
Multiply parenthesis by -2
-4a+2b+3a+3b
collect like terms
-a+5b
he midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5). Find the coordinates of point B.
Answer:
B: (9, 1)
Step-by-step explanation:
The mid point is (5, 3). Compare the x and y values to point A: (1,5)
We can see that the 'x' coordinate is 4 units higher than point A, so the x value for point B will be 4 points higher than the x value of the mid point.
5 + 4 = 9
We can see that the 'y' coordinate is 2 units less than point A, so the y value for point B will be 2 points less than the y value of the mid point.
3 - 2 = 1
Answer:
B coordinate is ( 9 ,1).
Step-by-step explanation:
Given : The midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5).
To find : Find the coordinates of point B.
Solution : We have given
Midpoint of segment AB = (5, 3).
The coordinates of point A = (1, 5).
Mid point : [tex]\frac{(x_{1}+x_{2}}{2} ,\frac{(y_{1}+y_{2}}{2})[/tex].
On plugging the values.
(5,3) = [tex]+\frac{1+x_{2}}{2} ,\frac{(5+y_{2}}{2})[/tex].
Now on comparing x coordinates
[tex](\frac{(1+x_{2}}{2})[/tex] = 5
On multiplying both number by 2
1 +[tex]x_{2}[/tex] = 10.
On subtracting both sides by 1.
[tex]x_{2}[/tex] = 9
Now on comparing y coordinates
[tex]\frac{(5+y_{2}}{2})[/tex] = 3
On multiplying both number by 2
5 +[tex]y_{2}[/tex] = 6
On subtracting both sides by 5.
[tex]y_{2}[/tex] = 1
Then B coordinate is ( 9 ,1).
Therefore, B coordinate is ( 9 ,1).
Therefore, B coordinate is ( 9 ,1).
Find the lateral surface area of the prism
Answe
255=222-22209/33
=6868
The lateral surface area of the prism with dimensions 4 ft, 3 ft, and 1.5 ft is 21 square feet.
To find the lateral surface area of a prism, you need to add the areas of all the lateral faces of the prism.
For a rectangular prism, the lateral surface area can be calculated by finding the perimeter of the base and multiplying it by the height of the prism.
In this case, with dimensions of 4 ft, 3 ft, and 1.5 ft for the rectangular prism:
Calculate the perimeter of the base: Perimeter = 2(length + width)
Perimeter = 2(4 ft + 3 ft) = 2(7 ft) = 14 ft
Then, multiply the perimeter by the height of the prism to get the lateral surface area:
Lateral Surface Area = Perimeter x Height
Lateral Surface Area = 14 ft x 1.5 ft = 21 square feet
The complete question is: Find the lateral surface area of the prism
Find the constant of variation k for the direct variation. 4x = -6(y)
Answer: [tex]k=-\frac{2}{3}[/tex]
Step-by-step explanation:
By definition, a direct varition is expressed as following:
[tex]y=kx[/tex]
Then, y is directly proportional to x and k is the constant of variation.
Therefore, given the direct variation:
[tex]4x=-6y[/tex]
You must solve for the variable y as you can see below:
[tex]4x=-6y\\\\y=-\frac{4}{6}x\\\\y=-\frac{2}{3}x[/tex]
Therefore, as you can see, the constant of variation is the following:
[tex]k=-\frac{2}{3}[/tex]
Which equation represents a linear function?
Answer:
Option D) [tex]y=-3x+10[/tex]
Step-by-step explanation:
General form of linear function : [tex]y=mx+c[/tex]
Option A ) [tex]y=\frac{16}{x}[/tex]
Since this function cannot be represented as general form of linear function.
Thus it is not a linear function.
Option B)[tex]y=3x^2-1[/tex]
It is a quadratic function .
Option C) [tex]x=3[/tex]
Since this function cannot be represented as general form of linear function.
Thus it is not a linear function.
Option D) [tex]y=-3x+10[/tex]
Since it is represented in the general form of linear function.
So, [tex]y=-3x+10[/tex] is a linear function.
A linear function is represented by an equation of the form y = mx + b, where 'm' is the slope and 'b' is the y-intercept. It is called linear because its graph forms a straight line.
Explanation:In mathematics, a linear function is a function that has a graph in the shape of a straight line. This means it follows a consistent rate of change, often represented by the slope of the line (known as 'm' in an equation). An example of an equation that represents a linear function is:
y = mx + b
Where:
'y' is the dependent variable, 'm' is the slope of the line, 'x' is the independent variable, and 'b' is the y-intercept. Learn more about Linear function here:
https://brainly.com/question/31353350
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Need Help ASAP!!!!!!!!!!!!!!!!!!!!
Answer:
Area = 52 cm2
Step-by-step explanation:
First you have to extend the line. It gave you two rectangles.
To find out the area you have to add this two surfaces.
A1 = 2*10 = 20
A2 = 8*4 = 32
Whole area = A1 + A2 = 20 + 32 = 52 square cm.
You can do this other way around and you get the same answer.
First you have to extend the line. It gave you two rectangles.
To find out the area you have to add this two surfaces.
A1 = 4*10 = 40
A2 = 2*6 = 12
Whole area = A1 + A2 = 40 + 12 = 52 square cm.
What is the probability of the outcome (not A)? a. 0.3 c. 0.8 b. 0.5 d. 0.15
Answer: b. 0.5
Step-by-step explanation:
We area given that the probability of outcomes A = 0.5
We know that for any event Q the probability of not getting Q is given by :-
[tex]P(Q)'=1-P(Q)[/tex]
Now, the probability of getting outcomes not A is given by :-
[tex]P(A)'=1-P(A)\\\\\Rightarrow\ P(A)' =1-0.5\\\\\Rightarrow\ P(A)' =0.5[/tex]
Hence option B is correct.
NEED HELP ASAPP!!!!!!!!!!!!!!!!
The answers might be B and C.
Answer:
B and C
Step-by-step explanation:
B has 4 equal parts easy. C is a more reasonable answer because a has NO equal parts.
Write an inequality for the given graph.
Answer:
[tex]y<0.5x-3[/tex]
Step-by-step explanation:
Find the equation of the dashed line
The line pass through the points
[tex]A(0,-3)[/tex] -----> is the y-intercept of the line
[tex]B(6,0)[/tex]
Find the slope of the line m
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{0+3}{6-0}=0.5[/tex]
Remember that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=0.5[/tex]
[tex]b=-3[/tex]
substitute
[tex]y=0.5x-3[/tex]
Find the inequality
we know that
The solution of the inequality is the shaded area below the dashed line
so
[tex]y<0.5x-3[/tex]
may somebody help me please.
Answer:
(4,-6)
Step-by-step explanation:
4x+y = 10
We know y = -6
Substitute it in
4x -6 = 10
Add 6 to each side
4x-6+6 = 10+6
4x =16
Divide by 4
4x/4 = 16/4
x =4