Answer:
23
Step-by-step explanation:
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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find the perimeter of OQR
The perimeter of the triangle OQR is 68 cm
How to determine the perimeter of the triangle OQRFrom the question, we have the following parameters that can be used in our computation:
Circles with the centers O, Q and R
When these centers are connected, the connection forms a triangle
The triangle OQR
Also from the question, we have the following values of radii
Radii = 8 cm, 11 cm and 15 cm
The perimeter of the triangle OQR is calculated as
Perimeter = Twice the sum of the radii
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 *(8 + 11 + 15)
Evaluate the sum
Perimeter = 2 * 34
Evaluate the products
Perimeter = 68
Hence, the perimeter is 68 cm
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Imagine a clock with the hour hand at 12 and the minute hand at 2. Does the angle formed by the two hands have a measure greater than, less than, or equal to 1/4 turn?
The angle formed by the two hands have a measure less than 1/4 turn
How to relate the measure of the angle to 1/4 turn?From the question, we have the following parameters that can be used in our computation:
A clock with the hour hand at 12 and the minute hand at 2
The turn represented by the above is represened as
Turn = (2 * 30)/360
When simplified, we have
Turn = 1/6
Next, we have
Angle at the turn = 1/4
1/6 is less than 1/4
This means that the angle formed by the two hands have a measure less than 1/4 turn
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the tangent of theta is 1, the terminal side of theta lies in the 3rd quadrant. what is a possible value for theta? give your answer in radians or degrees
Answer:
5π/4 radians or 225°
Step-by-step explanation:
n June Gemma paid £68 for her electricity. In July she will pay 5% more for her electricity.
When solving a linear system of equations, you are looking for which of the following?
When solving a linear system of equations, you are looking for the points of intersection between the equations
How to determine the statement that completes the given statementFrom the question, we have the following parameters that can be used in our computation:
Solving a system of linear equations
Also, we have the following from the options
Slopey-interceptx-interceptPoints of intersectionThe general rile is that
Slope = rate of change
x and y intercepts = when y and x equals 0
points of intersection = solution to the system
Hence, you are looking for the points of intersection between the equations
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Question
When solving a linear system of equations, you are looking for which of the following?
Slope
y-intercept
x-intercept
Points of intersection
Evaluate: 2x-5y for x=-7 and y=-2
Answer:
-4
Step-by-step explanation:
1. Substitute the x values and y values
2(-7) -5(-2)
-14 +10
-4
General form of
Y= 1/3x +3 and has an x intercept of 3
Answer:
Step-by-step explanation:
y
=
1
3
x
−
3
Use the slope-intercept form to find the slope and y-intercept
Slope:
1
3
y-intercept:
(
0
,
−
3
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
x
y
0
−
3
3
−
2
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
3
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
3
−
2
image of graph
The functions f(x) and g(x) are described using the following equation and table:
f(x) = −3(1.02)x
x g(x)
−1 −5
0 −3
1 −1
2 1
Which statement best compares the y-intercepts of f(x) and g(x)?
The y-intercept of f(x) is equal to the y-intercept of g(x).
The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Answer:
The y-intercept of a function is the point where the graph of the function intersects the y-axis. To find the y-intercept of f(x), we can substitute x=0 into the equation for f(x):
f(0) = -3(1.02)^0 = -3
Therefore, the y-intercept of f(x) is -3. To find the y-intercept of g(x), we can look at the table and see that when x=0, g(x)=-3. Therefore, the y-intercept of g(x) is also -3.
Comparing the y-intercepts of the two functions, we see that they are equal. Therefore, the correct answer is:
The y-intercept of f(x) is equal to the y-intercept of g(x).
Step-by-step explanation:
Answer:
The correct answer is A, the y-intercept of f(x) is equal to the y-intercept of g(x).
Step-by-step explanation:
First, note that the y intercept is what y is equal to when x is equal to 0.
The given function, f(x), is an exponential function. Exponential functions are written in the formula \(f(x) = a(1 + r)^x\), where a = y-intercept!
a in the function f(x) is -3, so this means that the y intercept is -3.
In the given table, g(x), the y value is -3 when the x value is 0.
This means that in the g(x) table, the y-intercept is also -3.
Thus, A is correct and the y-intercept of f(x) is equal to the y-intercept of g(x).
the perimeter formula for a rectangle is 2l 2w, where l is the length and w is the width. a rectangle. the top of the rectangle is labeled (8 x minus 1) inches. the right side is labeled (2 x 4) inches. complete the steps to find an expression that represents the perimeter of the rectangle. substitute the expressions for length and width into the formula 2l 2w. distribute 2 to each term in the parentheses. combine like terms
The expression that represents the perimeter of the given rectangle is 20x + 6 inches.
The perimeter formula for a rectangle is 2l + 2w. We are given that the length is 8x - 1 inches and the width is 2x + 4 inches, so we can substitute those expressions into the formula to get:
Perimeter = 2(8x - 1) + 2(2x + 4)
We distribute the 2 to each term inside the parentheses:
Perimeter = 16x - 2 + 4x + 8
We combine like terms:
Perimeter = (16x + 4x) + (-2 + 8)
Add the like terms together
Perimeter = 20x + 6
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how many values are in the range 17 to 118?
A- 102
B- 135
C- 100
D- 67.5
Answer:
C- 100 values
Step-by-step explanation:
Answer:
102
Step-by-step explanation:
118-17+1 = 102
55÷11[120÷2{4+(10+5-7)}] Please give the explaination.
Step-by-step explanation:
..................see picture....
55÷11[120÷2{4+(10+5-7)}]
5[60{4+(8)}]
5[60{4+8}]
5[60{12}]
5[60+12]
5[72]
5+72
77
so answer is 77
please help me 32 = –14c
Which of the following ordered pairs is a solution to the inequality y is greater than one half times x plus 5?
(10, 9)
(8, 10)
(4, 6)
(2, 6)
By answering the presented question, we may conclude that Therefore, the only ordered pair that is a solution to the inequality y > 1/2x + 5 is (8, 10).
What is inequality?In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. Many basic inequalities may be solved by altering the two sides until just the variables remain. Yet, a lot of factors contribute to inequality: Negative values are split or added on both sides. Exchange left and right.
Let's start with the first ordered pair (10, 9):
y > 1/2x + 5
9 > 1/2(10) + 5
9 > 5 + 5
9 > 10
This is false, so (10, 9) is not a solution.
Now let's try the second ordered pair (8, 10):
y > 1/2x + 5
10 > 1/2(8) + 5
10 > 4 + 5
10 > 9
y > 1/2x + 5
6 > 1/2(4) + 5
6 > 2 + 5
6 > 7
This is false, so (4, 6) is not a solution.
y > 1/2x + 5
6 > 1/2(2) + 5
6 > 1 + 5
6 > 6
Therefore, the only ordered pair that is a solution to the inequality y > 1/2x + 5 is (8, 10).
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a. Find x. The figure is not drawn to scale.
b. Is the triangle equilateral, isosceles, or scalene? Explain.
SOMEONE HELP!!!
Answer:
a. x = 15
b. scalene
Step-by-step explanation:
You want to know the value of x and the classification of the triangle whose circumscribing arcs are (8x-10)°, (6x)°, and (10x +10)°.
a. ArcsThe sum of arcs around the circle is 360°.
(8x -10)° +(6x)° +(10x +10)° = 360°
24x = 360 . . . . . . . . . . . divide by °, simplify
x = 15 . . . . . . . . . . . . divide by 24
b. TriangleThe arc measures around the circle are ...
(8x -10)° = 110°
(6x)° = 90°
(10x +10)° = 160°
Each arc is double the measure of the inscribed angle that intercepts it. The different arc measures mean the angle measures are different, so the triangle is scalene.
<95141404393>
I’m not good at angles. So please help
Answer:
x=20°
Step-by-step explanation:
sum of angles of a triangle=180°
76+44+3x=180
120+3x=180
3x=180-120=60
x=60/3=20
7. A group of Ember students went to a campground. While there they cooked and found a
way to stay warm throughout the night. They placed logs in a pit and started a fire. Which
type of energy was emitted by the fire?
. A. thermal energy
B. nuclear energy
e C. electrical energy
D. chemical energy
The scatter plot shows the relationship between the number of coffee drinks sold and the total expenses of a coffee shop.
The slope of the line is....
The intercept of the line is.....
The regression equation is
For the linear function built from the scatter plot, it is found that:
The slope of the line is of: 5.The intercept of the line is of: b = 500.The equation is of: y = 5x + 500.What is a linear function?The slope-intercept representation of a linear function is the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the numeric value of the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the output variable y when the input variable x has a value of 0.From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:
b = 500.
When the input increases by 200, the output increases by 1000, hence the slope is:
m = 1000/2 = 5.
Thus the equation is:
y = 5x + 500.
Missing InformationThe graph is given by the image at the end of the answer.
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Hector tosses a coin 80 times and gets 46 heads and 34 tails. What is the relative frequency of tails? 0 34% O 42.5% O 50% O 57.5%
Explanation:
The relative frequency of an outcome is the number of times you get this outcome divided by the number of times the experiment was repeated:
\(\frac{\#\text{tails}}{\#\text{times Hector tosses the coin}}=\frac{34}{80}=0.425\)To find it as a percentage we just have to multiply by 100:
\(0.425\times100=42.5\text{ \%}\)Answer:
42.5%
a farmer has two types of milk, one that is 28% butterfat and another that is 16% butterfat. how many gallons of each should be combined to create a 60-gallon mixture that is 22.5% butterfat?
30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.
Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,
⇒ x + y = 60 ⇒ x = 60 - y ----(1),
Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,
⇒ 28% of x + 16% of y = 22% of 60
⇒ 0.28x + 0.16y = 0.22 × 60
⇒ 0.28x + 0.16y = 13.2
⇒ 28x + 16y = 1320
⇒ 14x + 8y = 660
From equation (1),
14(60-y) + 8y = 660
840 - 14y + 8y = 660
6y = 180
y = 30
Again from equation (1),
x = 60 - y
= 60 - 30
= 30
Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%
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Help!I can’t figure this out.
Answer:
i beilive it is 1/1
Step-by-step explanation:
Using the graph determine the coordinates of the zeros of the parabola
Answer:
-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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WILL MARK BEST ANSWER BRAINLIEST
The system of conics has two solutions.
(x-1)²+(y+4)²=25
(x-1)²/25+(y+4)²/100=1
What are the solutions to this system of conics?
Enter your answer by filling in the boxes.
(___,___) and (___,___)
The solutions to this system of conics is; x = 6 and y = -4
What is the solution to the simultaneous Equations?We are given the system of equations as;
(x - 1)² + (y + 4)² = 25 ------(eq 1)
(x - 1)²/25 + (y + 4)²/100 = 1 ------(eq 2)
From eq 1, we can make (x - 1)² the subject to get;
(x - 1)² = 25 - (y + 4)² ----(eq 3)
Plug in eq 3 into eq 2 to get;
(25 - (y + 4)²)/25 + (y + 4)²/100 = 1
Multiply through by 100 to get;
4(25 - (y + 4)²) + (y + 4)² = 100
100 - 4(y + 4)² + (y + 4)² = 100
Solving for y gives y = -4
Plug in -4 for y into eq 1 to get;
(x - 1)² + (-4 + 4)² = 25
√(x - 1)² = √25
x - 1 = 5
x = 6
Now, a conic section is defined as the curve which is the intersection of cone and plane. There are three primary conic sections namely parabola, hyperbola, and ellipse. Thus, the solutions are x = 6 and y = -4.
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Ahab spent the day at the mall. First, he bought three tires for $50 each. Later, he returned one tire. After that, he found a five dollar bill. Also,he bought two jackets for $40 each. Write the total change to Ahab's funds as an integer.
Ahab's total change to funds is -$175, which means he spent more than he gained.
What are the funds?Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.
Later, he returned one tire, so he gets $50 back.
He also found a $5 bill, so he has an extra $5.
He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.
The total amount Ahab spent is $150 + $80 = $230.
However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.
Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.
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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
1, 1, 1, 2, 1, 4, 1,
The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2
By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.
The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.
Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:
1 + 1 = 2
Hence, based on the observed pattern, the next number in the sequence is 2.
Therefore, the completed list of numbers would be:
1, 1, 1, 2, 1, 4, 1, 2
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help please! I'm stuck!
Answer:
$1,440
Step-by-step explanation:
1 jar = $6
240 jars = 240 × 6 = $ 1,440
Find RS. Explain your reasoning.
6x + 5 9x - 4
RS=
The value of line RS is 23
How to determine the valueFrom the diagram shown, we have that line PS, line PQ, line QR and line RS form a square.
Note that the sides of a square are equal to each other.
The relationship is represented as;
Line PS = Line PQ = Line QR = Line RS
We have that;
Line PS = 6x - 5Line RS = 9x - 4Substitute the expressions
6x - 5 = 9x - 4
Now, collect like terms
6x - 9x = - 4 - 5
Subtract the like terms
-3x = -9
Make 'x' the subject of formula
-3x/-3 = -9/-3
x = 3
Then, RS = 9x - 4 = 9(3) - 4 = 27 - 2 = 23
Hence, the value is 23
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A farmer wishes to study the effect of three different fertilizers on crop yields. He takes a rectangular field and divides it into four plots of equal area. Then he randomly assigns the three different fertilizers to one of the four plots. One plot receives no fertilizer. The plots are harvested after a growing period and the yields are measured and compared. Which of the following statements best describes the design of the study?
I.This design has matched pairs.
II.This design has blocks.
III.This is a completely randomized design.
answer choices
I only
I and III only
I and II only
II only
III only
Option E is the correct option
In this experiment, a farmer completed 4 stages of therapy using the Randomized Design idea.
Complete randomization of the design
In terms of comfort and ease of data processing, a totally random design is essentially the simplest experimental design. Subjects are randomly assigned to treatments in this design.
In fact, randomization is what this fully randomized design depends on to account for the impacts of unimportant factors. In reality, the investigator anticipates that uncontrollable variables will generally impact treatment conditions in an equal manner, so any meaningful variations across conditions may be accurately assigned to the independent variable.
Design for double blinds:
In an experiment, the placebo effect will be diminished or abolished if participants in the control group are aware that they are getting a placebo, and the placebo will no longer function as a control.
Blinding fundamentally involves withholding information about whether or not a person is getting a placebo. Thus, the placebo effect is equally felt by participants in the control and treatment groups. It's common practice to hide the fact that certain groups get placebos from analysts who review the trial. Double blinding is the term for this procedure. It ensures that their appraisal is not affected by knowledge of real treatment circumstances and stops the analysts from "spilling the beans" to the participants through subtle indications.
Designing Matched Pairs .
A randomized block design is a specific example of the matched pairs design. It can be employed when there are essentially just two treatment conditions in an experiment, and participants can be paired off based on some sort of blocking variable. The individuals are then randomly randomized to various treatments within each pair.
Block design using randomization:
In a randomized block design, participants are really split up into smaller groups called blocks so that the variance within blocks is less than the variance between blocks. After that, patients within each block are allocated to treatment scenarios at random.
So, in this experiment, the farmer applied 4 doses of therapy.
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Can someone help me with this pls.
Answer:
a. 1/20, 1 out of twenty, or 5%
b. three out of ten, 3/10, 30%
c. 3/20 = 3/20 yes.
Step-by-step explanation:
a. It is a fraction. out of the 20 divisions there is only one 20. so there is 1 out of twenty which as a fraction is 1/20. this is equal to 1 divided by 20 wich eqauls 0.05. You move the decimal to the right twice to get 5%.
b. 6 out of twenty, 6/20. They are both even so it can be simplified.
6 ÷ 2 = 3
20 ÷ 2 = 10
It becomes 3/10, 0.3 or 30%
c. I decided that 3, 17, 2, 15, 10, and 9 are the lower right region.
the odds are 6/20 wich we know is 3/10
I only see 20 hits, but out of the 20, 6 are in the lower right region.
the odds from this is 6/20 which we know is 3/10.
We can see that the odds are equal.