H is the circumcenter, or point of concurrency, of the perpendicular bisectors of ΔACE.
Triangle A C E is shown. Point H is the circumcenter of the triangle. Lines are drawn from each point of the triangle to point H. Lines are drawn from point H to the sides of the triangle to form right angles. Line segments H B, H F, and H D are formed.
Which statements must be true regarding the diagram?
Will mark brainliest if correct and the fastest
Answer:
A, C, D
Step-by-step explanation:
Just took the assignment :D
4. Find the slope of the following points. (4,5) (9,3)
A. 5/2
B. -2/5
C. -5/2
D. 2/5
50 students tried out for the baseball team. 35 students made the team find the percent of decrease
Answer:
70% made it 30% didn't make it
Step-by-step explanation:
Step 1:
35/50 = x/100 Equation
Step 2:
50x = 3,500 Multiply
Step 4:
x = 3,500 ÷ 50 Divide
Answer:
x = 70
Hope This Helps :)
Which point approximates the solution to the
linear system graphed below?
-(0,-1)
-(1.25, 0.25)
-(0,1.5)
-(1.75, 0)
Answer: (1.25,0.25)
Step-by-step explanation:
Because I got it right.
The approximation the solution is (1.25, 0.25) option second (1.25, 0.25) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have given two straight lines shown in the coordinate plane.
As we can see both the lines intersect in the first quadrants.
Both the coordinate will be positive.
The approximation of the solution is (1.25, 0.25)
Thus, the approximation the solution is (1.25, 0.25) option second (1.25, 0.25) is correct.
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What is the image point of (-9, -2) after the transformation Rx-axis T-1,3?
Answer:
Step-by-step explanation:
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what is the vertex of the parabola x^2+2x-8=y
Answer:
Vertex: (-1,-9)
Step-by-step explanation:
The vertex of an up-down facing parabola of the form y=ax^2+bx+c is x=-b/2a
Plug the values into the equation
a=1, b=2, c=-8
x=-2/(2*1)
Simplify
x=-1
Plug in x=-1 to find the y value
y=1(-1)^2 + 2(-1) + (-8)
y= -9
Then put them in a coordinate pair
Vertex: (-1,-9)
The temperature at 5:00 a.m. was -23 °F. By 3:00 p.m., the temperature had risen to a high of 38 °F. If the temperature at 8:00 p,m. decreased from the high by 2/5of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.? Round your answer to the nearest tenths place.
A number is six more than one-half the other number, and the difference of their squares is 99. Find the numbers.
Applications Quadratic Equations
Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = y
Equation One
x = 1/2 y + 6;
2x = y + 12
2x - 12 = y
Second Equation
x^2 - y^2 = 99 Substitute for y^2
x^2 - (2x - 12)^2 = 99
x^2 - (4x^2 - 48x + 144) = 99
x^2 - 4x^2 + 48x - 144 = 99
- 3x^2 + 48x - 144 - 99 = 0
- 3x^2 + 48x - 243 = 0 Divide by -3
x^2 - 16x + 81 = 0
Use of the quadratic formula gives
8 +/- 123i
You may not know how to get complex numbers, but that is what this one comes to.
a right triangle is formed by the y-axis, the line y=2x+4,and another line. If the legs of the right triangle intersect at (2,8,) what is the equation of the other line of the triangle.?
The equation of the other line of the triangle is x + 2y - 18 = 0.
A right triangle is formed by the y-axis, the line y = 2x + 4 and another line. If the legs of the right triangle intersect at (2, 8), then the point of intersection of the legs of the right triangle is (2, 8) which is also the vertex of the right triangle.
Let the equation of the other line be y = mx + c. The slope of the line passing through the point (2, 8) and the point of intersection of line y = 2x + 4 with x-axis is -1/2.
Slope of line y = 2x + 4 is 2. Therefore, the slope of the line perpendicular to y = 2x + 4 and passing through the point (2, 8) is (-1/2). Thus, the equation of the line is y - 8 = (-1/2)(x - 2) which simplifies to 2y - 16 = - (x - 2) and further simplifies to x + 2y - 18 = 0.
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what is the pacific pattern they follow 2, 4, 6, 8,
they add 2 with each no.
2+2=4
4+2=6
6+2=8
8+2=10
the multiples of 2
HOPE IT HELPS (◕‿◕✿)
Answer:
the Pacific pattern is +2
Which one of these is a whole number?
a. 4/7
b.square root of 8
c.0
d.0.1
Answer:
The answer is C. 0
HEY CAN ANYONE PLS ANSWER DIS!!!!!!
PLEASE ASPA HELP PLEASE ASAP ASAP
Answer:
B - y = 3x - 2
Step-by-step explanation:
The equation is y = mx + b
Where m is the slope of the line or rise over run
The slope is 3
Where b is the y intercept of the line
The y - intercept is -2
Answer:
B. y=3x-2
Step-by-step explanation:
We see that the graphs pass through the points (0,-2) ,(2,4) and (1,1)
Hence, we must find an equation of which both are a common solution..
Here in equation B,
by substituting x=0,2,1 and y=-2,4,1 respectively..
we get, that these values satisfy the solution... Indicating that (y=3x-2) is the equation of the graph
A scatter plot is shown on the coordinate plane.
scatter plot with points at 1 comma 3, 2 comma 5, 3 comma 4, 3 comma 7, 4 comma 9, 5 comma 5, 6 comma 7, and 9 comma 7
Which two points would a line of fit go through to best fit the data?
(1, 3) and (9, 7)
(1, 3) and (4, 9)
(2, 5) and (6, 7)
(2, 5) and (5, 5)
Answer:
Plot the points on the graphing calculator. Then generate a linear regression equation. That equation is
y = .4039x + 4.2089
The two closest points to this line are
(2, 5) and (6, 7).
.4039(2) + 4.2089 = 5.0167
.4039(6) + 4.2089 = 6.6323
A flower bed measuring 3m by 1.5m is surrounded by a path 1m wide. Find the area of the path.
3.4 Step-by-step explanation:
The area of path is 13.5 m².
What is area of rectangle?The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.
Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".
length of flower bed = 3m
width of flower of bed = 1.5 m
length of bed along path = 3 + 1+ 1 = 5m
width of flower bed = 1.5 + 1+ 1 = 3.5 m
So, area of flower bed along path = 5 x 3.5 = 17.5 m²
and, area of flower bed = 3 x 1.5 = 4.5 m²
Thus, area of path = 17.5 - 4.5 = 13.5 m²
hence, the area of path is 13.5 m².
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Angie need to buy 140 candles for a party. Each package has 8 candles. How many packages should Angie buy?
Answer
17 is the answer
Step by step answer
Think of a context, ideally related to a work environment you
are familiar with, where you would like to run an experiment. Keep
it simple, just a 2 X 2 full factorial design. Specify your two
Indepen
Let's consider a manufacturing company that is looking to improve the efficiency of their assembly line. The company wants to conduct an experiment to evaluate the impact of two independent variables on the production output. The variables are the type of equipment used and the level of employee training.
Experiment Design: The company decides to employ a 2x2 full factorial design for their experiment. They create four different conditions by manipulating the two independent variables:
Condition A: Standard equipment, untrained employees.
Condition B: Standard equipment, trained employees.
Condition C: Upgraded equipment, untrained employees.
Condition D: Upgraded equipment, trained employees.
The company randomly assigns a group of employees to each condition and measures the production output (e.g., number of units produced per hour) for a set period of time.
Using the 2x2 full factorial design, the company can systematically assess the effects of equipment type and employee training on the production output.
By comparing the results across the four conditions, they can determine the main effects of each independent variable as well as any interaction effects between the variables.
The experiment will provide valuable insights into the optimal combination of equipment type and employee training for maximizing production efficiency.
The company can use the findings to make data-driven decisions on equipment upgrades and training programs, leading to improved productivity and cost-effectiveness in their assembly line operations.
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If four times a number is increased by 15, the result is three less than six times the number. Which
equation can be used to find the value of the number?
Answer:
4 times x + 15 = 6 times x -3
A layer of water Ax m thick which lies x m above the bottom of the tank will be rectangular with length 8 m. Using similar triangles, we can see that it will have width x m. | 3 m + 3 i 3 m 3 8 m Step 2 The mass of the layer of water is approximately equal to its density (1000 kg/m3) times its approximate volume. m = Ax(1000) kg
the volume of water in the tank m = 1000 × 8A² = 8000A² kg
The given layer of water is rectangular in shape with a thickness of Ax m and 8m in length. So, the volume of water in the tank can be calculated using the formula;
V = l × w × h
Where; l = 8m, w = x m, and h = Ax m
Therefore; V = 8 × x × Ax = 8A² m³
The mass of water in the tank can be obtained using the formula;
m = density × volume
Therefore; m = 1000 × 8A² = 8000A² kg
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(Area of Polygons and Composite Figures MC)
An image of a rhombus is shown.
15.5 cm
16 cm
What is the area of the rhombus?
15.75 cm²
031.5 cm²
O 124 cm²
16 cm
O248 cm²
The area of the Rhombus is 124 cm².The correct answer is: 124 cm²
To find the area of a rhombus, we can use the formula:
Area = (diagonal1 * diagonal2) / 2
In the given image of the rhombus, we have the following measurements:
Diagonal1 = 15.5 cm
Diagonal2 = 16 cm
Plugging these values into the formula, we can calculate the area:
Area = (15.5 cm * 16 cm) / 2
= (248 cm²) / 2
= 124 cm²
Therefore, the area of the rhombus is 124 cm².
The correct answer is: 124 cm²
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Which number is rational, an integer, and a real number?
o
A. -5
5
B.
C. There is no such number.
D. 1.5
Answer: I think its c
Step-by-step explanation:
QUESTION 3. Use the Laplace transform to solve the following initial value problems. a) y"+y' - 2y = -4e-t, y(0) = 4, y'(0) = -9 b) y" - 3y + 2y = 0 2t for t < 3 for t≥ 3 y(0) = 3, y'(0) = 4 3 c) y" - 9y = 8(t - π), y(0) = -1, y'(0) = 2
We are given three initial value problems, and we need to solve them using the Laplace transform method. The problems are as follows: a) y"+y' - 2y = -4e^-t, y(0) = 4, y'(0) = -9; b) y" - 3y + 2y = 0, y(0) = 3, y'(0) = 4; c) y" - 9y = 8(t - π), y(0) = -1, y'(0) = 2. In this problem, we will apply the Laplace transform to solve each equation.
a) Taking the Laplace transform of the given equation and using the initial conditions, we obtain the transformed equation:
[tex]s^2Y(s) - sy(0) - y'(0) + sY(s) - y(0) - 2Y(s) = -4/(s+1)[/tex]
Simplifying and solving for Y(s), we get:
Y(s) = [tex](4s^2 + 17s + 21)/(s^2 + s - 2)[/tex]
Using partial fraction decomposition, we can express Y(s) as:
Y(s) = 3/(s-1) - 1/(s+2)
Now, we take the inverse Laplace transform to find the solution y(t):
y(t) = [tex]3e^t - e^{-2t}[/tex]
b) Applying the Laplace transform to the given equation and using the initial conditions, we obtain the transformed equation:
[tex]s^2Y(s) - sy(0) - y'(0) - 3Y(s) + 2Y(s) = 0[/tex]
Simplifying and solving for Y(s), we get:
Y(s) = (s+4)/(s-1)(s-2)
Using partial fraction decomposition, we can express Y(s) as:
Y(s) = 1/(s-1) - 1/(s-2)
Taking the inverse Laplace transform, we find the solution y(t):
[tex]y(t) = e^t - e^{2t[/tex]
c) Applying the Laplace transform to the given equation and using the initial conditions, we obtain the transformed equation:
[tex]s^2Y(s) - sy(0) - y'(0) - 9Y(s) = 8(1/(s^2) - π/(s^{2+1}))[/tex]
Simplifying and solving for Y(s), we get:
[tex]Y(s) = (s-4)/(s^2+9) - 8/(s^2(s^{2+1)})[/tex]
Taking the inverse Laplace transform, we find the solution y(t):
[tex]y(t) = (cos(3t) - 4sin(3t))/3 - 4t + 8sin(t)[/tex]
Hence, we have obtained the solutions to the given initial value problems using the Laplace transform method.
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A rotation turns a figure about a fixed point called the
Zack needs $299.99 to buy the new bike he wants. He has saved $150 so far toward the new bike. From this week on, he will save $12.50 per week toward the new bike. Ten weeks from now, how much more money will he still need to save to buy the bike?
Answer:
$24.99
Step-by-step explanation:
299.99- 150 = 149.99
12.50x is greater than or equal to 149.99.
12.50(10) = 125
149.99- 125 =24.99
Answer:
$24.99
Step-by-step explanation:
$12.50 x 10 = $125
$125 + $150 = $ 275
$299.99 - $275 = $24.99
Jason receives some money for his birthday. He spends 15 of the money and has $14.40 left. Calculate how much money he received for his birthday.
Find the value of ( 3 raise to 0 + 4 raise to-1) × 2 raise to 2
Answer:
The answer is 5
Step-by-step explanation:
(3^0 + 4^-1) 2²
Zero power rule and Negative power rule:
(1 + 1/4) 4
Add then multiply:
(1.25) 4
=5
Which is the best hypothesis for the scientific question “how does light intensity affect the rate of photosynthesis
Write an equation in point-slope form for the line that has the given slope m and that passes through the given point.
m=1/4 ; (0, -2)
3. Use the discount factors to value a four-year coupon bond (face value of $1,000 and a coupon rate of 5% ). You do not need to use the binomial tree, but you can verify your calculation using the tree if you are unsure of the answer. A. What is the price or value of the bond? B. What is the yield to maturity of the bond?
To value a four-year coupon bond, we need to calculate the present value of its future cash flows, which include both the periodic coupon payments and the final face value payment. The discount factor is used to discount these cash flows back to their present values.
A. To calculate the price or value of the bond, we first need to determine the present value of the coupon payments. The bond has a face value of $1,000 and a coupon rate of 5%, which means it pays an annual coupon of $50 (5% of $1,000). Assuming annual coupon payments, we discount each coupon payment using the appropriate discount factor for the corresponding year. For example, if the discount factor for year one is 0.95, the present value of the first coupon payment would be $50 * 0.95 = $47.50. We repeat this calculation for each coupon payment and also discount the final face value payment. Finally, we sum up all the present values to obtain the price or value of the bond.
B. The yield to maturity (YTM) of the bond represents the rate of return an investor would earn if they hold the bond until maturity. It is the discount rate that equates the present value of the bond's cash flows to its current market price. To find the YTM, we need to iterate different interest rates until we find the rate that makes the present value of the bond's cash flows equal to its market price. This process involves solving a non-linear equation and can be done using numerical methods or financial calculators/software.
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Write and solve an equation for the situation.
The perimeter of a parallelogram is 56 meters. The width of the parallelogram is 8 meters less than its length. Find the length and the width of the parallelogram.
