Answer:
Pete, Lisa, Tony, Max
Step-by-step explanation:
Lisa is 4 ahead Tony, putting Tony 4 behind Lisa
Pete is 8 ahead Max, putting Max 8 behind Pete
Lisa is also 6 ahead Max, putting Max 6 behind Lisa
So, Pete is 8 ahead Max, but lisa is 6 ahead Max, so Pete is ahead of Lisa by 2
Then lisa is 4 ahead Tony, so tony is 4 behind lisa and 6 behind Pete
Therefore (I know its confusing) The order is Pete, Lisa, Tony, Max
Final answer:
By analyzing the time differences between their finishes, we can determine that the friends cross the finish line in this order: Lisa first, Pete second, Tony third, and Max last.
Explanation:
To solve the question regarding the order in which four friends cross the finish line, we will use logical reasoning and simple arithmetic based on the information provided. Lisa finishes four hours ahead of Tony, Pete is eight hours ahead of Max, and Max finishes six hours after Lisa. From the given information, we can set up a sequence of events to determine the order in which they finish.
Let’s assume Lisa finishes first. Then Max finishes six hours after Lisa.Since Pete finishes eight hours ahead of Max, Pete must finish ahead of Max and two hours after Lisa, placing him in second.Lisa finishes four hours ahead of Tony, which would mean Tony finishes after Lisa but before Max.Therefore, the final order is: Lisa, Pete, Tony, and then Max.In a circle, a chord of 50 cm bisects a chord of 40 cm. Find the length of the longer segment of the 50 cm chord.
Answer:
The length of the longer segment of the 50 cm chord = 40
Step-by-step explanation:
let the length of the longer segment of the 50 cm chord = x
so, the other segment = 50 - x
A chord of 50 cm bisects a chord of 40 cm
using the Intersecting Chords Theorem
so, x(50-x) = 20 * 20
50x - x² = 400
x² - 50x + 400 = 0
(x - 40)(x - 10) = 0
x = 40 or x = 10
So, the the length of the longer segment of the 50 cm chord = 40
Answer:
23cm
Step-by-step explanation:
In the circle below, AB, CD, and EF are the chords of the circle. Chord CD is the diameter of the circle.
= 2√ (142−82)
= 2√ (196 − 64)
= 2√ (132)
= 2 x 11.5
= 23
How many whole numbers are there with not more than 4 digits?
Answer:
Step-by-step explanation:
There are 9,999 positive whole numbers with 4 or less digits and 9,999 negative whole numbers with 4 digits or less and 1 whole number which is neither positive nor negative {0}. This gives us 9,999 + 9,999 + 1 or 19,999 whole numbers composed of 4 digits or less.
Answer:
19999
i think its 19999 because Zero does not have a positive or negative value. However, zero is considered a whole number, which in turn makes it an integer, but not necessarily a natural number. ... They have to be positive, whole numbers. Zero is not positive or negative.
hope this helps
Ms. Johnson skates 19.7 miles in 2.8 hours. Estimate her speed in miles per hour.
Answer: 7.04mph
Step-by-step explanation:
[tex]d=19.7mi\\t=2.8h\\v=?[/tex]
Formula:
[tex]d = v*t\\v=\frac{d}{t}\\v=\frac{19.7mi}{2.8h}\\ v=7.04mph[/tex]
Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.
y = 2 x + 2
On a coordinate plane, points are at (negative 1, 0), (0, 2), (1, 4), (2, 6).
Answer:
Yes this is a function
Step-by-step explanation:
y = 2x + 2
0 = 2(-1) + 2
0 = -2 + 2
0 = 0
Yes
2 = 2(0) + 2
2 = 0 + 2
2 = 2
Yes
4 = 2(1) + 2
4 = 2 + 2
4 = 4
Yes
6 = 2(2) + 2
6 = 4 + 2
6 = 6
Yes
The equation y = 2x + 2 is a function, because each 'x' value corresponds to a single 'y' value, as per the mathematical definition of a function.
The graph of the equation y = 2x + 2 does indeed represent a function. In mathematics, a function is defined as a relation in which each input (or 'x' value) corresponds to exactly one output (or 'y' value). In the given coordinate pairs, you will notice that each individual 'x' value (such as -1, 0, 1, and 2) corresponds to a single 'y' value. Furthermore, the equation itself, y = 2x + 2, will always yield a single 'y' value for each 'x' value you substitute into it. This aligns with the definition of a function. Hence, the equation y = 2x + 2 is a function.
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9-2: MathXL for School: Practice & Problem Solving KT EDIT
Assignment is past due
9.2.10
Question Help
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement
"And" probabilities can always be determined using the formula P(A and B)=P(A)- P(B).
Choose the correct answer below.
O A. This statement is false, "And" probabilities can only be determined using the formula P(A and B)=P(A). P(BIA).
O B. This statement is false. "And probabilities can be determined using the formula P(A and B) = P(A). P(B) only if A and B are independent. Otherwise, they
can be found using the formula P(A and B)=P(A). P(BIA).
O C. This statement is true.
O D. This statement is false, "And" probabilities can always be determined using the formula P(A and B) = P(A) + P(B).
Answer:the way you put this answer is not readable sorry.
Step-by-step explanation:
The statement is false; the formula to determine "And" probabilities varies depending on whether events are independent or dependent.
Explanation:The statement "And" probabilities can always be determined using the formula P(A and B) = P(A) - P(B) is false. The correct method to determine the probability of two events A and B occurring together, also known as the conjunction, depends on whether the events are independent or dependent. If A and B are independent, the formula is P(A and B) = P(A) × P(B). However, if A and B are dependent, you must use the formula P(A and B) = P(A) × P(B|A), where P(B|A) represents the conditional probability of B given that A has already occurred.
5. A bag contains 4 green marbles and 5 white marbles. Suppose a marble is
randomly selected. What are the odds in favor of picking a white marble?
A 4 to 5
OB 5 to 4
c 4 to 9
D
5 to 9
Answer:
d
Step-by-step explanation:
Parallel lines e and f are cut by transversal b.
Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 18) degrees. At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees and the bottom right angle is y degrees.
What is the value of y?
16
50
130
164
Answer:
130
Step-by-step explanation:
e // f
2x + 18 = 4x - 14
2x = 32
x = 16
y = 180 - (4x - 14) = 180 - (64 - 14) = 130
Using the congruency of the top-right angles, it is found that the value of y is of 130.
---------------------
When two parallel lines are cut by a transversal, the top-right angles are congruent, that is, they have the same measure.In this question, their measures are of (2x + 18)º and (4x - 14)º. Thus, with this, we can find x:[tex]4x - 14 = 2x + 18[/tex]
[tex]2x = 32[/tex]
[tex]x = \frac{32}{2}[/tex]
[tex]x = 16[/tex];
Thus, the measure of the top right angles is given by, in degrees: [tex]4x - 14 = 4(16) - 14 = 64 - 14 = 50[/tex]---------------------
The top-right and the bottom-right angles are supplementary, that is, the sum of their measures is 180º.The measure of the top-right angle is of 50º.The measure of the bottom-right angle is of y.Thus:
[tex]y + 50 = 180[/tex]
[tex]y = 130[/tex]
The value of y is of 130.
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what is the slope between the points (4,-1) and (-4,3)?
The formula for slope is [tex]\frac{rise}{run} = \frac{y2-y1}{x2-x1}[/tex].
Subtract y1 from y2. (y1= -1, y2 = 3)
3 - -1 = 4
Now subtract x1 from x2. (x1 = 4, x2 = -4)
-4 -4 = -8
Divide the difference between the y coordinates by the difference between the x coordinates.
[tex]\frac{4}{-8}[/tex] or 4 ÷ -8 = -0.5
Answer:The slope between the two points is -0.5.
Hope this helps love :)
Which is the best description of the graph of the function f(x)=60(1/3)^x?
Answer:
what do you mean the best description?
Step-by-step explanation:
Answer:
: the graph has an initial value of 60, and each successive term is determined by multiplying by 1/3
Step-by-step explanation:
f(xequal 6 [1/nitial value x=0, f(x) = 60*[1/3]^0 = 60*1 = 60x=1 ⇒f(1) = 60*[1/3]x=2 f(2) = 60*[1/3]^2 = f(1) * [1/3]x = n f(n) = 60*[1/3]^n=60*[1/3]^(n-1)*[1/3] = f(n-1)*[1/3]
What is the cube root of b^27
Answer:
b^9
Step-by-step explanation:
We can only subtract or add roots to each other but if we are cubing we can divide them by 3.
Help, can anybody solve the below
Answer:
1) -3/4
2) 2/3
3) -4/5
4) -1/4
13) 2
14) 0
15) -2/3
16) -3
hope this helps
consider the following pair of equations:
x + y = -2
y= 2x + 10
if the two equations are graphed at what point do the lines representing the two equations intersect
Answer:
The lines representing these equations intercept at the point (-4,2) on the plane.
Step-by-step explanation:
When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.
Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:
[tex]x+y=-2\\x+(2x+10)=-2\\x+2x+10=-2\\3x+10=-2\\3x=-2-10\\3x=-12\\x=\frac{-12}{3} \\x=-4[/tex]
Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:
[tex]y=2x+10\\y=2(-4)+10\\y=-8+10\\y=2[/tex]
Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.
Mr. Key just his phone bill for the year. The total cost of the bill was $120
What is the unit rate that he paid each month?
O
$12/month
$10/month
O
$1440/year
O
$1/month
Answer:
$10/month
Step-by-step explanation:
the table represents the cost of buying a small piece of land in a remote village since the year 1990
Answer:Linear
Step-by-step explanation:
is 4 pounds greater than 96 ounces
Answer:
No
Step-by-step explanation:
there are 16 ounces in a pound. 4*16 is is 62.
Name the quadrilateral with the most specific name that will describe it.
A) parallelogram
B) isosceles trapezoid
C) square
D) rectangle
Answer: a) parallelogram
Step-by-step explanation:
Top side and bottom side are same lengths/parallel
Angles in a quadrilateral add up to 360 degrees
105+75*2=360
Final answer:
The most specific name for the quadrilateral described is a (C) square because it has equal sides and all right angles, which is more specific than a rectangle, isosceles trapezoid, or a parallelogram.
Explanation:
The question asks to name the quadrilateral with the most specific name. The answer is (C) square. A square is a special type of rectangle with all sides of equal length, which is itself a type of parallelogram. A square is more specific than a rectangle, isosceles trapezoid, or a generic parallelogram because a square has all the properties of these shapes but also has equal sides and all right angles.
Please help me! A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inches. If a can of soup this size costs $1.99, what is the cost for each serving of soup? Round to the nearest cent.
The cost for each serving of soup is $0.62
Step-by-step explanation:
Diameter =3.5 inches
Radius = 1.75 inches
Height = 5 inches
Each serving of soup = 15 cubic inches
Cost of the can = $1.99
Volume of the can = π(1.75 x 1.75) 5
= (3.14) (3.0625) 5
= 48.08 cubic inches
For 48 cubic inches of soup the cost is $1.99
For 15 cubic inches of soup the coat will be,
Cost = (15x1.99) /48
= $0.62
The cost for each serving of soup is $0.62
Final answer:
Calculate the volume of the soup can and determine the cost for each serving by dividing the total cost by the volume per serving. The cost per serving of soup is approximately $0.62.
Explanation:
To find the volume of the soup can:
Calculate the radius by dividing the diameter by 2: 3.5 inches / 2 = 1.75 inches.Use the formula for the volume of a cylinder: V = πr²hSubstitute the values to find the volume: V = 3.142 × (1.75 inches)² × 5 inches ≈ 48.32 cubic inchesTo find the cost per serving:
Divide the cost of the can by the total volume: $1.99 / 48.32 ≈ $0.041 per cubic inch.Multiply the cost per cubic inch by the volume per serving: $0.041 x 15 cubic inches ≈ $0.62Therefore, the cost for each serving of soup is approximately $0.62, rounded to the nearest cent.
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1,808.64 square feet? Use 3.14 for pi.
Answer:
The sprinkler can spread water in a radius of 24 feet.
Step-by-step explanation:
Since the sprinkler sends water in a circular pattern in order to find the distance at which it can spread the water we need to find the radius of the circle. The area of the circle is said to be 1808.64 and it's formula is given by:
area = pi*r²
1808.64 = 3.14*r²
r² = 1808.64/3.14 = 576
r = sqrt(576) = 24 feet
The sprinkler can spread water in a radius of 24 feet.
determine which of the following relations is a function
The relation between the function is X cannot repeat itself.
We have given that,
functions table
We have to determine which relation is a function.
What is the function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
The relation between the function is
X cannot repeat itself
Therefore option C is correct.
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Drag the correct steps into order to solve the equation -7x + 14 = 56 for x.
Answer:
-7x + 14 = 56
Subtract 14 both sides
-7x + 14 - 14 = 56 - 14
-7x = 42
Divide both sides by -7
(-7x)/(-7) = 42/(-7)
x = -6
To solve for x, you need to isolate/get the variable "x" by itself in the equation:
-7x + 14 = 56 Subtract 14 on both sides
-7x = 42 Divide -7 on both sides to get "x" by itself
x = -6
Solve, using a picture to assist you. Round to the nearest tenth if necessary.
If a 40-foot tall ladder is placed 15 feet from the base of a house, how high up the house will the
ladder reach?
Answer:
36.66 ft
Step-by-step explanation: You have to use the pythagorean theorem. a^2 + b^2 = c^2 (if you lean a ladder against a wall, it will make the shape of a triangle) The hypoteneuse would be 40 feet as it is the height of the ladder (the longest side). The one of the legs would be 15 ft (how far it is from the base of the house). You would then just plug the numbers in : a^2 + 15^2 = 40^2
a^2 + 256 = 1600
a^2 = 1344
a = 36.66
A room is 12 feet wide. A scale model of the room has a scale of 1 in = 6 ft. What is the width
of the room in the model?
A:6 in
B:2ft
C:1ft
D:2in
Final answer:
To determine the room's width in a scale model, use the scale conversion ratio of 1 in = 6 ft. The width in the model is calculated to be 2 inches.
Explanation:
A room is 12 feet wide. A scale model of the room has a scale of 1 in = 6 ft,
To find the width of the room in the model, we use the scale conversion ratio: 1 inch on the model represents 6 feet in reality. Since the room is 12 feet wide, the width in the model would be 2 inches (12 feet ÷ 6 feet per inch = 2 inches).
The label on a jacket said it was 80% wool, 14% nylon, and x% other fibers. What is the value of x?
Answer:
6%
Step-by-step explanation:
80%-14%=x%
every % = %
80%-14%=94%
100%-94%=6%
Answer:
6%
Step-by-step explanation:
80% + 14= 94.
94 is 6 digits away from 100, so the answer is 6%.
Daisy bought A new speaker that was marked at $90.15. When she got to the register, she learned that the speaker was marked down 25%. How much money did she save?
Answer:
$3.6
Step-by-step explanation:
The selection from Tales From the Odyssey is told like a short story, not a traditional epic. If it were a traditional epic, what would be true about it?
A. It would be a long poem about heroes.
B. It would be a made-up tale about a war.
C. It would be a factual account of a historical event.
D. It would be a series of poems about imaginary characters.
Extra points! And will mark brainliest
Answer:
I think the answer is A
Step-by-step explanation:
Most Epics are long poems about heroes.
What should Maya do first?
Maya is solving the quadratic equation by completing the
square.
4x2 + 16x + 3 = 0
Isolate the variable x2
Subtract 16x from both sides of the equation.
Isolate the constant.
Factor 4 out of the variable terms.
Answer:
Its C
Step-by-step explanation:
edge 2021
Maya should first isolate the variable [tex]\( x^2 \)[/tex] before completing the square.
The steps to solve the quadratic equation [tex]\( 4x^2 + 16x + 3 = 0 \)[/tex] by completing the square are as follows:
1.*Isolate the variable - To do this, Maya should move the constant term to the other side of the equation by subtracting 3 from both sides:
[tex]\[ 4x^2 + 16x = -3 \][/tex]
2. Factor out the coefficient of -The coefficient of x² is 4. Factor out 4 from the terms involving x
[tex]\[ 4(x^2 + 4x) = -3 \][/tex]
3. Complete the square To complete the square, Maya should add the square of half the coefficient of x t both sides of the equation. Half of 4 is 2, and [tex]\( (2)^2 = 4 \),[/tex]so she should add 4 to both sides:
[tex]\[ 4(x + 2)^2 = 1 \][/tex]
After completing these steps, Maya can proceed to solve the equation by isolating x and taking the square root.
Roni donates 5% of her paycheck to a local charity and puts 20% of her paycrieck
in a savings account. If Roni's paycheck is $2,295.00,
Which of the following is closest to the amount which will go to charity and
savings?
Answer:
Charity = 1114.75
Savings = 459
Step-by-step explanation:
2295 * 5% = 114.75
1114.75 to charity
2295 * 20% = 459
459 to savings
The rule is applied to ΔFGH to produce ΔF"G"H".
What are the coordinates of vertex F" of ΔF"G"H"?
(4, –1.5)
(4, –0.5)
(–1.5, 4)
(–0.5, 4)
ITS TIMED. I REALLY NEED HELP!!!
Answer:
(4, –1.5)
Step-by-step explanation:
What is the surface area of the rectangular pyramid below?
A rectangular pyramid. The rectangular base has a length of 18 feet and width of 10 feet. 2 triangular sides have a base of 18 feet and height of 14.1 feet. 2 triangular sides have a base of 10 feet and height of 16 feet.
386.9 ft2
593.8 ft2
639.4 ft2
1,053.2 ft2
Answer:
B - 593.8 ft2
Step-by-step explanation:
I also just finish the quiz and got the question right.
To find the base: 10 x 18 = 180
There are 4 lateral face, two each are conguent:
18 x 14.1 = 253.8
253.8 divided by 2 = 126.9
126.9 x 2 = 253.8
Other conguent sides:
10 x 16 = 160
160 divided by 2 = 80
80 x 2 = 160
Finally: 180 + 253.8 + 160 = 593.8 ft2
The required surface area of the rectangular pyramid is 593.8 ft². Therefore, the correct answer is option B.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
As mentioned in the question, the rectangular pyramid has a rectangular base with dimensions of 18 ft by 10 ft, and four triangular faces. Two of the triangular faces have a base of 18 ft and a height of 14.1 ft, while the other two have a base of 10 ft and a height of 16 ft.
The area of the rectangular base is:
18 ft × 10 ft = 180 ft²
The area of each of the triangular faces is:
(1/2) × base × height
For the first two triangles:
(1/2) × 18 ft × 14.1 ft = 126.9 ft² each
For the second two triangles:
(1/2) × 10 ft × 16 ft = 80 ft² each
The total surface area of the rectangular pyramid is:
180 ft² + 126.9 ft² + 126.9 ft² + 80 ft² + 80 ft² = 593.8 ft²
So, the surface area of the rectangular pyramid is 593.8 ft². Therefore, the correct answer is option B.
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The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x = ____
Answer:
x = -1 and x = 3
Step-by-step explanation:
x² – 2x – 3 = (x - 3) (x + 1) = 0
x = 3 or x = -1
Answer:
The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x = 3
Step-by-step explanation: