90⁰ counterclockwise
help me with this math
Which point is located at (–1, 3)?
1 A
2
3 C
4 D
Answer:
Point C
Step-by-step explanation:
Answer:
3. C
Step-by-step explanation:
X before Y
A circle is graphed on a coordinate grid and then reflected across the x-axis. If the center of the original circle was located at (x, y), which ordered pair represents the center of the new circle after the transformation? *
(x, y)
(-x, y)
(x, -y)
(-x, -y)
Answer:
C (x,-y)
Step-by-step explanation:
Answer:
x,-y
Step-by-step explanation:
It cannot transform across x axis unless it goes down to negative y.
In a graph we have 4 areas to fit a description of reflect accross an axis.
As this was x axis it can only be reflection negative y or reverse.
We cannot reverse this as the object has the positive y side of x
The image is the reflection or the transformation, and so this image is now negative y.
x-y= x object | y image = positive x = negative y.
Mowe Middle School has 564 students, which is 60% of the number of students who
otterd Wison Middle School How many students attend Wison Middle School?
In the past, professional baseball was played at the Astrodome in
Houston, Texas. The Astrodome has a maximum height of 63.4 m. The
height in meters of a baseball t seconds after it is hit straight up in the air
with a velocity of 45 m/s is given by h = -9.88 + 45t + 1. Will a baseball hit
straight up with this velocity hit the roof of the Astrodome? Use the
discriminant to explain your answer.
The correct value of the h function is; h= -9.8t² + 45t + 1
Answer:
Using the discriminant, no real solution exists and the baseball will not hit the roof.
Step-by-step explanation:
We are told the height is expressed as;h= -9.8t² + 45t + 1
Also that the Astrodome has a maximum height of 63.4 m
Thus, to find out if the baseball hit at a velocity of 45 m/s will hit the roof, we'll replace h with 63.4m.
Thus;
63.4 = -9.8t² + 45t + 1
Subtract 63.4 from both sides to give;
-9.8t² + 45t + 1 - 63.4 = 0
-9.8t² + 45t - 62.4 = 0
Using quadratic formula, we have;
t = -45 ± √{(45² - (4 * (-9.8) * (-62.4)}
t = -45 ± √(2025 - 2446.08)
t = -45 ± √(-421.08)
The discriminant is -421.08
This value is less than 0.
Thus, no real solution exists and the baseball will not hit the roof.
Gavin is moving into a new apartment that has a kitchen with an area of 50 square feet. If the area of the kitchen is 10 square feet more than the area of the bedroom, what is the area of the bedroom?
The area of the bedroom is 40 square feet, 10 square feet less than the area of the kitchen.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, Gavin is moving into a new apartment that has a kitchen with an area of 50 square feet.
Also given that the area of the kitchen is 10 square feet more than the area of the bedroom.
Let, The area of the bedroom be 'x' square feet.
Therefore, x + 10 = 50.
x = 50 - 10.
x = 40 square feet.
So, The area of the bedroom is 40 square feet.
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Final answer:
The area of the bedroom is 40 square feet, calculated by subtracting 10 square feet from the kitchen's area of 50 square feet.
Explanation:
To find the area of the bedroom, we start with the area given for the kitchen, which is 50 square feet. The problem states that the kitchen is 10 square feet larger than the bedroom. Therefore, to find the area of the bedroom, we subtract the difference from the kitchen area.
Area of bedroom = Area of kitchen - 10 square feet
Area of bedroom = 50 square feet - 10 square feet
Area of bedroom = 40 square feet
please help, I suck at math
Answer:
Step-by-step explanation:
(-3,1) (5,3)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{3-1}{5-(-3)}\\\\=\frac{2}{5+3}\\\\=\frac{2}{8}\\\\=\frac{1}{4}[/tex]
= 0.25
evaluate 49 ÷ (5 + 2) − 2 × (1 + 1)
Answer:
3
Step-by-step explanation:
49 divided by (5+2) - 2 x (1+1)
49 divided by 7 - 2 x 2
7-4
3
Can someone help me find the area and perimeter of the composite figure?
Answer:
Semicircle radius is 4.5
Radius x radius x 3.14 = area of circle but you divide by 2
4.5 x 4.5 = 20.25 x 3.14 = 63.585/2=31.7925 for semicircle
To find the line for the triangle subtract 16 from the other side which is 8 so the triangle is 8 by 3.
8 x 3 = 24/2=12 for triangle
6 + 3 = 9 the missing side.
9 x 8 = 72 so the rectangle is 72
72 + 12 = 84 + 31.7925 = 115.7925 so that is the area
Circumference is the perimeter for the circle. 9 x 3.14 = 28.26
Perimeter of triangle is 19.544
8 + 9 = 17 x 2 = 34
28.26 + 34 = 62.26 + 19.544 = 81.804
Area is 115.7925 and perimeter is 81.804
Step-by-step explanation:
20. BUSINESS The function f(x) = 1000-0.01x² models the manufacturing cost per item when x items are produced,
and g(x) = 150-0.001x² models the service cost per item. Write a function C(x) for the total manufacturing and
service cost per item.
Answer:
Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,
P(x) = R(x) - C(x)
If we are to substitute the given expression for each of the terms, we have,
P(x) = x(S(x)) - C(x)
Substituting,
P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)
Simplifying,
P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120
Combining like terms,
P(x) = -0.15x³ - 0.02x² + 28x - 120
The answer to this item is the second among the choice, number 2.
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Step-by-step explanation:
Final answer:
To find the total cost function C(x), you combine the manufacturing cost function f(x) = 1000 - 0.01x² and the service cost function g(x) = 150 - 0.001x², resulting in C(x) = 1150 - 0.011x².
Explanation:
To create a function C(x) for the total manufacturing and service cost per item, you will simply add the manufacturing cost function f(x) and the service cost function g(x) together. The provided functions are f(x) = 1000 - 0.01x² for the manufacturing cost per item and g(x) = 150 - 0.001x² for the service cost per item.
When you add these two functions, you get:
C(x) = f(x) + g(x)
= (1000 - 0.01x²) + (150 - 0.001x²)
= 1150 - 0.011x²
This new function, C(x), represents the total cost per item when x items are produced, encompassing both manufacturing and service costs.
The manager of a dress shop recorded the number of dresses sold during the week the data is as follows
17 15 16 20 15 19
Find the mean deviation for this data
4.98
1.67
2.21
1.91
The mean deviation for the data (17, 15, 16, 20, 15, 19) is calculated by finding the mean, determining the absolute differences from the mean for each value, summing those differences, and then dividing by the number of values, resulting in a mean deviation of 1.67.
The mean deviation is a measure of the average distance between each data value and the mean of the data set. To calculate the mean deviation of the given data (17, 15, 16, 20, 15, 19), first we find the mean of these values.
Add up all the numbers: 17 + 15 + 16 + 20 + 15 + 19 = 102.Divide the sum by the number of data values: 102 / 6 = 17. This is the mean.Find the absolute difference between each data value and the mean, then sum those differences: |17 - 17| + |15 - 17| + |16 - 17| + |20 - 17| + |15 - 17| + |19 - 17| = 0 + 2 + 1 + 3 + 2 + 2 = 10.Finally, divide the sum of the absolute differences by the number of data values to get the mean deviation: 10 / 6 = 1.67.The calculated mean deviation for the provided data is 1.67.
The volume of a cylinder is 30pi cubic units. A cone shares the same base. The height of the cone is twice the height of the cylinder. What is the volume of the cone?
Write answers in terms of "pi" ex: 10pi cubic units
Answer:
Step-by-step explanation:
Given:
The volume of a cylinder is 30π cubic units.
A cone shares the same base.
The height of the cone is twice the height of the cylinder.
We need to determine the volume of the cone.
Height of the Cone:
Let h denote the height of the cylinder.
Let H denote the height of the cone.
Since, it is given that, the height of the cone is twice the height of the cylinder, we have;
H=2h
Volume of the cylinder:
The formula to determine the volume of the cylinder is
V=πr^2h
Since, volume of the cylinder is 30π , we get;
30π=πr^2-------(1)
Volume of the cone:
The formula to determine the volume of the cone is
v=1/3πr^2H
Substituting H=2h , we get;
v=1/3πr^2(2h)
v=1/3πr^2h
Substituting equation (1), we get;
V=2/3(30π)
v=20π
Thus, the volume of the cone is 20π
Answer:
The answer is 20pi
Step-by-step explanation:
Help! Someone please help me
what is the measure of A?
Answer:
50
Step-by-step explanation:
The inside of a triangle equals 180 and so you subtract the other two values(100 and 30) to 180 and you get 50.
Answer:
50
Step-by-step explanation:
The sum of the angles of a triangle add to 180
A+B+C = 180
A + 100+ 30 = 180
A + 130= 180
Subtract 130 from each side
A+130-130= 180-130
A = 50
Tell the measure of the angle in degrees 1/10
Answer:
360 x 1/10 = 360/10 simplify is 36
36 degrees is 1/10
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The sum of two numbers is 17. One number is 3 less than
What is the lesser number?
Answer:
The two numbers are 5 and 12, the lesser is 5.
5 is the lesser number, therefore the answer. Hope this helped! :D
(5k-3)9+k) what is the value of k
Answer:
Set the factors equal to 0.
(5k - 3)(9 + k) = 0
The zero product property states that if two terms being multiplied have a product of zero, then at least one of them must be zero. In our case, this means we can set both (5k - 3) and (9 + k) equal to 0:
5k - 3 = 0
5k = 3
k = 3/5
9 + k = 0
k = -9
The value of k is 3/5 and -9.
answer my question please and i will mark you as a brainliest, i promise trust me
Answer:
60
Step-by-step explanation:
AB is 4 of 5 parts BC is i of 5 parts
75 divided by 5 = 15
75 minus 15=60
х
4 inches
5 inches
Y
7 inches
z
What is the area of AXYZ?
Answer:
That makes no sense because there is no A and those measurements are not clear.
Step-by-step explanation:
Laisha drew a model on grid paper of a decorator tile that she wants to buy. Each grid line represents 5 cm. Her drawing has coordinates (3, 4), (5, 10), (7, 4), and (5, 0). Calculate the area of the real tile.
Answer:
The area of the real tile is 20 cm².
Step-by-step explanation:
Plot the points provided on a graph using grid line representing 5 cm each as follows.
The diagram below shows that the model of the tile is in the shape of a kite.
The area of a kite is:
[tex]\text{Area of a Kite}=\frac{p\times q}{2}[/tex]
Here, p and q are the two diagonals.
The measure of diagonals p and q are:
p = 10 cm
q = 4 cm
Compute the area of the kite as follows:
[tex]\text{Area of a Kite}=\frac{p\times q}{2}[/tex]
[tex]=\frac{10\times 4}{2}\\\\=10\times 2\\\\=20[/tex]
Thus, the area of the real tile is 20 cm².
Laisha's tile, represented by a rhombus with coordinates (3, 4), (5, 10), (7, 4), (5, 0) on a grid where each line is 5 cm, has a real area of 250 square centimeters, calculated using the formula for the area of a rhombus.
The student is asking about calculating the area of a geometric shape based on its coordinates on a grid. To find the real area of Laisha's tile, we need to determine the shape represented by the given coordinates (3, 4), (5, 10), (7, 4), and (5, 0). Noting that each grid line represents 5 cm, it appears that the shape is a diamond or a rhombus, and we can calculate the area by finding the product of the lengths of the diagonals (the distance between (3, 4) and (7, 4) and the distance between (5, 10) and (5, 0)) divided by two.
The length of one diagonal is simply the distance between (3, 4) and (7, 4), which is 4 grid units, or 4 x 5 cm = 20 cm. The length of the other diagonal is the distance between (5, 10) and (5, 0), which is 10 grid units, or 10 x 5 cm = 50 cm. The formula for the area of a rhombus is (d1 x d2) / 2, where d1 and d2 are the lengths of the diagonals. Plugging in our values, we get (20 cm x 50 cm) / 2 = 500 [tex]cm^2[/tex] / 2 = 250 [tex]cm^2[/tex].
The real area of the tile is thus 250 square centimeters.
a) 50 degrees
b) 30 degrees
c) 100 degrees
d) 90 degrees
Answer:
50 degrees
Step-by-step explanation:
It would be 50 degrees because angle CGD is directly across so the angle measures would be the same
f(x) = 3x^2+12x+5f(x)=3x 2 +12x+5f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 12, x, plus, 5 What is the value of the discriminant of fff? How many distinct real number zeros does f(x)f(x)f, left parenthesis, x, right parenthesis have?
Answer:
Discriminant = 84
The polynomial has two real distinct roots
Step-by-step explanation:
Given: [tex]f(x)=3x^2+12x+5[/tex]
To find: discriminant of the given function and number of distinct real zeros
Solution:
For a polynomial [tex]f(x)=ax^2+bx+c[/tex] , discriminant is given by [tex]D=b^2-4ac[/tex]
If [tex]D>0[/tex], then the polynomial has two real and distinct roots.
If [tex]D=0[/tex] then the polynomial has two real and equal roots.
If D<0 then roots are not real.
Here, in [tex]f(x)=3x^2+12x+5[/tex]
a = 3, b = 12 and c = 5
[tex]D=(12)^2-4(3)(5)=144-60=84[/tex]
As D > 0, the polynomial has two real distinct roots.
Answer:
The discriminant of F is 84
F has 2 distinct real number zeros
Step-by-step explanation:
in the figure below AC and BE are diameters of circle P. what is the arc measure of DBE in degrees
The measure of Arc DE is 39 degree.
What are Vertical Angles?The opposing angles formed when two lines cross. They are constantly on par. In this illustration, the angles a° and b° are vertical. The term "vertical" refers to the vertex, not up or down, where they cross.
Given:
From figure:
m<APB + m<APE = 180 (Linear pair)
4w+ 8 + 4w + 4= 180
8w + 12= 180
8w = 168
w = 21
Also, <APB = <PED + <DPC (Vertical opposite angle)
4w+ 8 = <PED + 2w+ 11
92 = <PED + 53
<PED = 39
So, the measure of Arc DE is 39 degree.
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PLS SOMEONE LOOK AT THE PHOTO I POSTED AND ANSWER AS SOON AS POSSIBLE PLS ITS ASKING FOR X= AND Y= NOT AN EQUATION JUST PLS ANSWER IT RIGHT
We can solve it, but we can't actually use the interactive system they want you to use. Let's see if we can guide you through it.
My guess is you can control the lines by dragging the two points on the line.
Let's make the green line y = 2x + 3
When x=0 we get y=3, point (0,3). That's the y intercept, 3 up on the y axis. Drag one green point there.
When x=2 we get y=7, point (2,7), two to the right, seven up. Drag the other green point there. The green line is now y = 2x + 3.
Similarly the red line is made y = -3x + 3. When x=0, y=3, point (0,3). [Surprise!] When x=2, y=-3, point (2,-3). Drag the red points to (0,3) and (2,-3).
We already saw where they meet, at (0,3), x=0, y=3, the y intercept of both lines.
Answer: x=0, y=3
a 19%
b 26
c 67%
d 28%
Answer:
d= 28%
Step-by-step explanation:
Which composition of similarity transformations maps TriangleLMN to TriangleL'M'N'? a dilation with a scale factor less than 1 and then a reflection a dilation with a scale factor less than 1 and then a translation a dilation with a scale factor greater than 1 and then a reflection a dilation with a scale factor greater than 1 and then a translation
Answer:
The answer should be D if you're on edge
Step-by-step explanation:
Triangle LMN is dilated with a scale factor greater than 1 and then translated to form Triangle L'M'N'
What are similar figures?
Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. All the corresponding angles are congruent.
Triangle L'M'N' is larger than LMN. Hence:
Triangle LMN is dilated with a scale factor greater than 1 and then translated to form Triangle L'M'N'
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What is the Mean in the following number sequence:
6, 14, 8, 15, 16, 13, 19
Look at the attached picture ⤴
Hope it will help u...
Answer: 13
Step-by-step explanation: To get the mean we have to add all the numbers and then divide it by 7 because there are 7 numbers.
6+14+8+15+16+13+19=91
91 divided by 7 = 13
I hope this helps!
two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term
Answer:
Tn = 64-4n
Step-by-step explanation:
The nth term of an AP is expressed as:
Tn = a+(n-1)d
a is the common difference
n is the number of terms
d is the common difference
Given the 6th term a6 = 40
T6 = a+(6-1)d
T6 = a+5d
40 = a+5d ... (1)
Given the 20th term a20 = -16
T20 = a+(20-1)d
T20 = a+19d
-16 = a+19d... (2)
Solving both equation simultaneously
40 = a+5d
-16 = a+19d
Subtracting both equation
40-(-16) = 5d-19d
56 = -14d
d = 56/-14
d = -4
Substituting d = -4 into equation
a+5d = 40
a+5(-4) = 40
a-20 = 40
a = 20+40
a = 60
Given a = 60, d = -4, to get the nth term of the sequence:
Tn = a+(n-1)d
Tn = 60+(n-1)(-4)
Tn = 60+(-4n+4)
Tn = 60-4n+4
Tn = 64-4n
Which equation represents the graph? (y-1)^2/49-x^2/81=1 (y-1)^2/7-x^2/9=1
Answer: A, (y-1)^2/49-x^2/81=1
The given equations are both hyperbola equations with the center shifted to (0,1). They represent different graphs due to differences in their denominators. Hyperbola equations result in a graph of two separate curves, each one a mirror image of the other.
Explanation:The equations (y-1)^2/49-x^2/81=1 and (y-1)^2/7-x^2/9=1 are both in the form of the hyperbola equation. This type of equation represents a graph that consists of two separate curves, each one a mirror image of the other, positioned about a central point called the center of the hyperbola. In these particular equations, the center of the hyperbola is shifted from the origin to the point (0,1).
Hyperbola equations are generally in the form (x-h)^2/a^2 - (y-k)^2/b^2 = 1 or (y-k)^2/a^2 - (x-h)^2/b^2 = 1
However, even though these equations are in the form of hyperbolas, they do not represent identical graphs. In the first equation, the y term is divided by 49 and the x term by 81, whereas in the second, these denominators are 7 and 9. These denominator values affect the shape and orientation of the hyperbolae, leading to different graphical representations for each equation.
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What the value of x in the isosceles triangle?
Answer: B.) x = 6
Step-by-step explanation:
Pythagoras Theorem a^2 +b^2 =c^2
Additionally divide 8 by 2 since it's an isosceles triangle and it's in the middle.
[tex]\sqrt{52}[/tex] ^2 - 4^2= x^2
52 - 16 = x^2
x^2 = 36
Square root both sides = 6