Answer: B)
Step-by-step explanation:
Eve and Patty swam fewer laps than Maureen. Patty swam more laps than Eve, and Maureen swam fewer laps than Raymond. Who swam the most laps?
Answer:
Raymond
Step-by-step explanation:
1 ) Eve and Patty swam fewer laps than Maureen so...
Eve and Patty < Maureen
2 ) Patty swam more laps than Eve...
Patty > Eve
3 ) Maureen swam fewer laps than Raymond...
Maureen < Raymond
4 ) We can eliminate Eve and Patty since they swam fewer laps than Maureen. The ones who are left are...
Maureen and Raymond
5 ) We know that Maureen swam fewer laps than Raymond so we can eliminate Maureen.
Raymond
6 ) This mean that the one who swam the most laps is...
Raymond
Hope this helps! :)
Devontae claimed that the line y=-3/4x forms an angle of about 53.13° with the positive x-axis. Which statement proves his claim correct or incorrect?
a) Correct because arctan(4/-3) = -53.13
b) Correct because arccos(-3/4) = 53.13
c) Incorrect because arctan(-3/4) = -36.87
d) Incorrect because arccos(-3/4) = -138.59
The statement that proves the claim about the angle is incorrect is that;
c) Incorrect because arctan(-3/4) = -36.87
How to solve Trigonometric Ratios?The 6 main trigonometric ratios of a right angle triangle are;
Sine θ = length of the opposite leg / length of the hypotenuse
Cosine θ = length of the adjacent leg / length of the hypotenuse
Tangent θ = sine θ/cosine θ = opposite leg / adjacent leg.
cosecant θ = 1 / sine θ = hypotenuse / opposite leg
secant θ = 1 / cosine θ = hypotenuse / adjacent leg
cotangent θ= 1 tangent θ = adjacent leg / opposite leg.
Now, we are told that the angle formed is 53.13°. Since the options are either arctan or arccos, we will use them to verify the angles;
cos 53.13° = 0.6
tan 53.13° = 1.33
They are both positive and it means both x and y values are positive since we are told that it involves the positive x-axis.
Thus, y/x cannot be negative or -3/4 as given.
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Isabelle flips a fair coin and rells a fair six-sided dice.
Draw a sample space diagram to show all the possible outcomes.
Work out the probability that she gets an outcome of tails and 2.
Give your answer as a fraction in its simplest form.
When a six sided dice through with the coin all the possible outcomes are as follows
H-1 H-2 H-3 H-4 H-5 H-6
T-1 T-2 T-3 T-4 T-5 T-6
Probability that she gets an outcome of tails and 2 = 1 / 12
Isabelle flips a fair coin and rells a fair six-sided dice.
Coin has two face H or T
Dice has six face hat is 1, 2, 3, 4, 5, 6
When a six sided dice through with the coin all the possible outcomes are as follows
H-1 H-2 H-3 H-4 H-5 H-6
T-1 T-2 T-3 T-4 T-5 T-6
So there are total 12 outcomes possible when a six sided dice through with the coin.
Probability that she gets an outcome of tails and 2 = event occur / total number of events = 1 / 12
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What is the equation of the line that passes through the point (-3,-8) and has a slope of 4?
Answer:
[tex]y-8=4(x+3)[/tex]
Step-by-step explanation:
The equation of the line passing through the point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is [tex]y-y_1=m(x-x_1)[/tex].
Graph the function rule. Tell whether the graph is continuous or discrete. The height h, in inches, of the juice in a 20-oz bottle depends on the amount of juice j, in ounces, that you drink. This situation is represented by the function rule h=8−0.4j.
Upon graphing of the function rule h = 8 - 0.4j, we see that the graph is continuous.
We are given the function as; h = 8 - 0.4j
Let h represent the height in inches on the y-axis and let j represent the amount of juice in ounces on the x-axis.
We are told that the height of the juice in a 20-oz bottle depends on the amount of juice. This means that j is an independent variable and h is dependent variable.
The function represents the height of juice after drinking j ounces of juice. Therefore as the juice is being drank, the height of the juice in bottle will change continuously. Therefore, the graph of our given function will be continuous because we can drink fractions of an ounce juice.
The equation of a line in slope-intercept form is given as;
y = mx + b
where;
m is Slope of line
b is y-intercept
If we rewrite our function slope-intercept form of equation, we will get;
h = -0.4j + 8
Thus;
Slope = -0.3
y-intercept = 8.
The graph is as plotted in the attached file
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Given m || n
find the value of x and y.
(6x+19)° (2y+1)⁰
(3x+8)°
m
n
A value for x is therefore represented by the first number in an ordered pair, and a value for y is represented by the second.The x- and y-coordinates are the names given to these values.
Find the value of x and y ?The Method of Elimination
To ensure that the two equations have the same leading coefficient, multiply each equation by a reasonable number in step one.
Step 2: Reverse the first equation and subtract the second one.
Step 3: Find y using this new equation.
Step 4: Change Equation 1 or Equation 2 above to y = 2 and then solve for x.
multiply the equation y = x - 6 by -6.
You will then get the equation: 6y = -6x + 36
The two equations will be:
6y = -6x + 36
y = 6x - 19
And you can see that if you add them, you will be able to eliminate x. answer is -6.
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216. Factor and then calculate the value of the expression
a) a² + ab with a = 6.6, b = 3.4;
b) x2 - xu at x = 0.5, y = 2.5;
c) —5a² — 5ah at a = 4, x = -3
Answer:
a) 66, b) - 1, c) - 20Step-by-step explanation:
Solve as below
a) a² + ab with a = 6.6, b = 3.4;
a² + ab = a(a + b) = 6.6(6.6 + 3.4) = 6.6(10) = 66b) x² - xu at x = 0.5, y = 2.5;
x² - xu = x(x - u) = 0.5(0.5 - 2.5) = 0.5(- 2) = - 1c) -5a² - 5ah at a = 4, h = -3;
-5a² - 5ah = - 5a(a + h) = - 5(4)(4 - 3) = - 20(1) = - 20Answer:
a) 66b) -1 c) -20Step-by-step explanation:
a) a² + ab = ?
→ (6.6)² + (6.6 × 3.4)
→ 43.56 + 22.44
→ 66
So, the answer is 66.
b) x² - xu = ?
→ (0.5)² - (0.5 × 2.5)
→ 0.25 - 1.25
→ -1
So, the answer is -1.
c) -5a² - 5ah = ?
→ -5(4)² - 5(4 × -3)
→ (-5 × 16) - (5 × -12)
→ -80 + 60
→ -20
So, the answer is -20.
At which values of x does the function F(x) have a vertical asymptote? Check
all that apply.
F(x) =1/7(x + 2)(x+3)
The vertical asymptote of a given function is x = -2 and x = -3.
What is the vertical asymptote of a function?
A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. It appears at the x-value that is outside the domain of the function, therefore the graph can never cross it.
To find the vertical asymptotes, set the denominator equal to zero and solve for x.
For the given function,
[tex]F(x) = \frac{1}{7(x+2)(x+3)}[/tex]
To find the vertical asymptote, equate the denominator to zero.
7(x + 2)(x + 3) = 0
(x + 2)(x + 3) = 0
x + 2 = 0 (or) x + 3 = 0
x = -2 (or) x = -3
Hence, The vertical asymptote of the given function is x = -2 and x = -3.
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00
Which could be the base shape of the cylinder?
Oline
O non-square rectangle
O circle
O square
Answer:
The answer is a D. a circle
The base shape of the cylinder can only be a circle.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
A cylinder is a three-dimensional shape that has two congruent parallel circular bases connected by a curved surface.
The shape of the base determines the shape of the cylinder. If the base is circular, then the cylinder is called a circular cylinder.
A non-square rectangle and a square are not circular, and thus cannot be the base shape of a cylinder.
Hence, the base shape of the cylinder can only be a circle.
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simplify: 8x divided by 16+8 divided by 32
The value of 8x ÷ (16+8) ÷ 32 is x/96
What are basic operations?The four basic arithmetic operations in Maths, for all real numbers, are:
Addition (Finding the Sum; ‘+’)
Subtraction (Finding the difference; ‘-’)
Multiplication (Finding the product; ‘×’ )
Division (Finding the quotient; ‘÷’)
Discussing about division or quotient
The division is usually denoted by ‘÷‘ and is the inverse of multiplication. It constitutes two terms dividend and divisor.
To simplify
8x÷(16+8)÷32= 8x×1/24×1/32
= x/96
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[(3^2)^6]^4
answer for thius
Answer: 7.9766443e+22 all added and multiplied correctly
If the sum of two numbers is 10 and the difference of their squares is also 10, find the numbers?
The two numbers with sum is 10 and difference of their squares is 10 are 5.5 and 4.5.
What is square of numbers?
A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3^2 and is represented by the symbol 3 x 3.
Suppose x and y are the two numbers with sum is 10 and difference of their squares is 10.
As sum of two numbers is 10.
So, x + y = 10 ..(1)
As difference of their squares is 10.
So, x^2 - y^2 = 10 ..(1)
From equation (1), x = 10 - y
Plug value of x in equation (2)
(10 - y)^2 - y^2 = 10
100 - 20y + y^2 - y^2 = 10
100 - 20y = 10
20y = 100 + 10
2y = 110
y = 5.5
Plug y = 5.5 in equation (1)
x + 5.5 = 10
x = 10 - 5.5
x = 4.5
Therefore, The two numbers with sum is 10 and difference of their squares is 10 are 5.5 and 4.5.
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The price of a sweater was reduced from $30 to $18. By what percentage was the price of the sweater reduced?
i need help
Question 3 of 10
The blue segment below is a diameter of 0. What is the length of the radius
of the circle?
7.7
0
A. 15.4 units
B. 3.85 units
C. 11.55 units
D. 7.7 units
Answer:
I think B. 3.85 units
Step-by-step explanation:
PLEASE HELP ME
Are the linear expressions equivalent? Drag the choices to the boxes to correctly complete the table. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response.
3x - 2 (2.3x + 2.5) = -1.6x -5
5 - 3 (-1.6x - 2.1) = 4.8x - 1.3
3x - 2 (2.3x + 2.5) = -1.6x-5 are equivalent expressions while 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions
How to determine if the linear expressions are equivalent?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s)
Given: 3x - 2 (2.3x + 2.5) = -1.6x -5 and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3
For 3x - 2 (2.3x + 2.5):
First, clear the parenthesis by using -2 to multiply what's in the parenthesis. Then add/subtract like terms:
3x - 2 (2.3x + 2.5) = 3x-4.6x- 5 = -1.6x-5
For 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3:
First, clear the parenthesis by using -3 to multiply what's in the parenthesis. Then add/subtract like terms:
5 - 3 (-1.6x - 2.1) = 5 + 4.8x + 6.3 = 4.8x + 11.3
Since 3x - 2 (2.3x + 2.5) is equal to -1.6x-5 and 5 - 3 (-1.6x - 2.1) is not equal to 4.8x - 1.3.
Therefore, 3x - 2 (2.3x + 2.5) = -1.6x-5 are equivalent expressions and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions
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f(x)=x^2-1, g(x)=x+2
The composite function ( f. g(x)) is x² + 4x + 3
What is a function?A function can be described mathematically as a rule, law or equation that explains, shows and elaborates the relationship between to variables.
The variables are known as;
The independent variableThe dependent variableFrom the information given, we have the functions as;
f(x)=x^2-1g(x)=x+2To determine the composite function ( f. g(x)), we have to substitute the value of g(x) as a function in the function f(x) as the variable 'x', we get;
( f. g(x)) = (x + 2)² - 1
Now, let's expand the square
( f. g(x)) = (x + 2) ( x+ 2) - 1
Expand the bracket
( f. g(x)) = x² + 2x + 2x + 4 - 1
Now, let's collect like terms, we get
( f. g(x)) = x² + 4x + 3
Thus, the function is x² + 4x + 3
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The complete question:
Find ( f. g(x)) if f(x)=x^2-1, g(x)=x+2
A group of elementary school students designed a study to find a possible relationship between the number of students absent from school and the overall rate of flu infections in their town. Which of the following is a correct pairing of possible null and alternative hypotheses for this experiment?
The possible pair of null and alternative hypotheses for this experiment is "The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.
The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases."
Hypotheses
Hypotheses refers the testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
Given,
A group of elementary school students designed a study to find a possible relationship between the number of students absent from school and the overall rate of flu infections in their town.
Here we need to find the correct pairing of possible null and alternative hypotheses for this experiment.
Here the given situation is relationship between the number of students absent from school and the overall rate of flu infections in their town.
So, the null hypotheses of this relation is flu infection rate has no impact on the number of students absent from school
And the alternative hypotheses of the relation is defines that the flu infection rate increases, the number of students absent from school also increases.
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Answer:
Step-by-step explanation:
The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.
The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases.
Richard and two have a combined age of 26. Richard is 5 years old than twice Teos age. How old are Richard and Teo?
Answer:
R = 19 yr old; T = 7 yr old
Step-by-step explanation:
From the information given, we can create a system of equations to find both Richard and Teo's ages, letting R represent Richard's age and T represent Teo's age.
Thus we have:
[tex]R +T=26\\2T+5=R\\\\2T+5+T=26\\3T+5=26\\3T=21\\T=7\\\\R+7=26\\R=19[/tex]
When you plug in the numbers, you find that twice Teo's age is 14 as 7*2 = 14. 5 more than 14 is 19 as 14 + 5 = 19.
math, pls help, will mark brainlest
Answer:
Step-by-step explanation:
3x + 3x equals 11x
For each graph below, state whether it represents a function.
Answer:
graphs 2 and 4 are functions
Step-by-step explanation:
To know if a graph represents a function, draw multiple vertical (straight up and down) lines through the graph. If any of the vertical lines crosses the graph 2 or more times, it is NOT a function.
How many square inches are in a square mile?
Answer: 4.014e+9 square inches
Samantha owes $25.50 and borrows another $20.00. She pays back $15.25 of her debt and then earns $45.00. Later, Samantha pays back $22.50 of her debt.
How much debt does she still have to pay back? Show your work.
If a lumber yard sells plywood at $1,240/M, what is the price per square foot?
The price of the lumber per square foot is $115.
What is a unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that the cost of the lumber yard plywood per square meter is $1240.
The cost of the lumber plywood per square foot is calculated as,
Cost = $1240 per square meter
The square meter is equal to 1 m = 3.28 ft. The cost will be calculated as,
Cost = $1240 / m²
Cost = $1240 / (3.28)² ft²
Cost = $115 per square feet
Therefore, the price of the lumber per square foot is $115.
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Write an expression that has only one term and is equivalent to the expression below (f × g²) + 5 - (g² × f)
The expression that is equivalent to (f × g²) + 5 - (g² × f) is 5
How to determine the equivalent expression?The expression whose equivalence is to be determined is given as
(f × g²) + 5 - (g² × f)
To start with, we need to remove the brackets in the expression
So, we have the following representation
(f × g²) + 5 - (g² × f) = f × g² + 5 - g² × f
Evaluate the products
This gives
(f × g²) + 5 - (g² × f) = fg² + 5 - fg²
Next, we collect the like terms
So, we have
(f × g²) + 5 - (g² × f) = fg² - fg² + 5
Lastly, we evaluate the like terms
So, we have
(f × g²) + 5 - (g² × f) = 5
The above expression cannot be further simplified
Hence, the equivalent expression is 5
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Judy mom prepared 30 sandwiches for her friends. Her mom added chicken breast to 2/5 of the buns. How many chicken sandwiches did her mom make.
6) Tomás está haciendo compras en el supermercado. Primero eligió
una bandeja con naranjas cuya etiqueta dice 1.350 g. ¿Cuántos
gramos más debe comprar si quiere llegar a 5 kg?
With the help of unitary method it can be found out that Tomás has to buy more 3650 grams of oranges if he wants to reach 5 kg.
It is given to us that -
Tomás first chose a tray with oranges whose label says 1,350 gram
We have to find out more grams of oranges that he should buy if he wants to reach 5 kilogram.
We know that
1 kilogram = 1000 grams
=> 1000 grams = 1 kilogram ----- (1)
By unitary method, we can find out the number of kilograms equivalent to 1350 grams of oranges.
From equation (1), we have
1000 grams = 1 kilogram
=> 1350 grams = (1/1000) * 1350
=> 1350 grams = 1.35 kilograms ----- (2)
Now, from equation (2), we can see that Tomás first chose 1,350 grams of oranges which is equal to 1.35 kilograms of oranges.
This implies that the more kilograms of oranges that Tomás has to buy to reach 5 kilograms is given by -
(5 - 1.35) kilograms
= 3.65 kilograms
From equation (1), we have
1 kilogram = 1000 grams
=> 3.65 kilograms = 3.65 * 1000 grams
=> 3.65 kilograms = 3650 grams.
Thus, by solving through unitary method we find out that Tomás has to buy more 3650 grams of oranges if he wants to reach 5 kg.
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Carlos goes out to lunch. The bill, before tax and tip, was $13.80. A sales tax of 3% was added on. Carlos tipped 23% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:i think its 13.70 or 14.00
Step-by-step explanation:
Answer:
$3.27
Step-by-step explanation:
$13.80 x 1.03 (which will add the 3% to the total, skipping a step) = $14.21
Then take $14.21 x .0.23 which will give you just the tip amount of $3.2683 or rounded to the nearest cent, $3.27
(−3,y) and (x,2).
y=4x+6
orderd pair
You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number greater than 4 the second time.
The probability of rolling a 3 first time and a number greater than 4 thre second time is 1/18
What is probability?Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6. One is an event that will happen, it is certain. An example of a certain event is tomorrow being Friday if today is Thursday. This is definitely going to happen.
The possible outcomes of a fair die are : 1, 2, 3, 4, 5, 6. which is 6 in all
the required outcome for obtaining a 3 = 3 which is 1 outcome
the required outcome for obtaining a number greater than 4 : 5, 6. which is 2 outcomes.
probability of getting 3 first time = 1/6
probability of getting a number greater than 4 = 2/6 ( lowest term = 1/3)
Probability of rolling a 3 first time and a number greater than 4 second time is = 1/6 x 1/3 = 1/18
In conclusion, probability of obtaining a 3 and a number greater than 4 is 1/18.
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I rode my bike to my
grandparents' house in 1
hours and 15 minutes. My
grandparents live 33 blocks
from me, and each block is
560 feet. What was my
average speed in miles per
hour?
(Hint: 5,280 feet per mile)
By using the formula of average speed, it can be inferred that
My average speed is 14 miles per hour
What is average speed?
Speed of an object is the distance covered by the object per unit time
Average speed is calculated by dividing the total distance covered by the total time taken
Length of one block = 560 feet = [tex]\frac{560}{5280}[/tex] miles
Number of blocks = 33
Total distance = [tex]\frac{560}{5280} \times 33\\[/tex]
= [tex]\frac{7}{2}[/tex] miles
Total time = 15 minutes = [tex]\frac{15}{60}[/tex] hours = [tex]\frac{1}{4}[/tex] hours
Average speed = [tex]\frac{\frac{7}{2}}{\frac{1}{4}}[/tex] = [tex]\frac{7}{2} \times 4[/tex] = 14 miles per hour
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