Answer:
A.
Step-by-step explanation:
So if you do √25*√49 is 13.2287565553
which is irrational but if you do 53 times 53 you get 2809 which is rational so you its Not always irrational
which set of values could be the side lengths of a 30-60-90 triangle?
A. {4,4/3,8/3}
B. {4,4/3,8}
C. {4,4/2,8}
D. {4,4/2,8/2}
What is the equation in point slope form of the line that passes through the point (–2, 4)(–2, 4) and has a slope of 5?
A bag contains
10
marbles:
4
are green,
2
are red, and
4
are blue. Linda chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue? Write your answer as a fraction in simplest form.
Final answer:
The probability that both marbles chosen by Linda are blue is 2/15, calculated by multiplying the probability of selecting a blue marble on each draw without replacement.
Explanation:
To calculate the probability that Linda selects two blue marbles in a row without replacement, we need to consider the number of blue marbles and the total number of marbles in the bag during each draw. Initially, there are 10 marbles in total with 4 blue marbles. The probability of drawing a blue marble on the first draw is therefore 4/10.
Upon successfully drawing a blue marble the first time, the marble is not replaced, meaning there are now only 9 marbles left with 3 being blue. The probability of drawing a second blue marble is now 3/9, which simplifies to 1/3.
To find the total probability of both events occurring in sequence (both draws resulting in blue marbles), we multiply the probabilities of each individual event occurring:
(4/10) × (3/9) = (2/5) × (1/3) = 2/15.
Therefore, the probability that both marbles Linda chooses are blue is 2/15.
Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain.
...?
Answer: No, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).
Step-by-step explanation:
Two lines are called perpendicular to each other if the product of their slope is -1.
Since, the slope of a line having end points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Thus, the slope of line Joining points P(–8, –10) and Q(–5, –12),
[tex]m_1=\frac{-12+10}{-5+8}=\frac{-2}{3}=-\frac{2}{3}[/tex]
While, The slope of line Joining points R(9, –6) and S(17, –5),
[tex]m_2=\frac{-5+6}{17-9}=\frac{1}{8}[/tex]
Since,
[tex]m_1\times m_2=-\frac{2}{3}\times \frac{1}{8}=-\frac{1}{12}\neq -1[/tex]
Thus, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).
A piece of paper is cut and then folded into rectangular prism as shown below.
Which side is the bottom, and which side is on the left of the rectangular prism?
A. C is on the bottom, B is on the left
B. B is on the bottom, C is on the left
C. A is on the bottom, E is on the left
D. B is on the bottom, E is on the left
Answer: B is on bottom, C is on the left
Step-by-step explanation:
A is on top and B is opposite of A. Therefore, it's on bottom and C is on the left as E is on the right.
The bottom of the rectangular prism is side C, and the left side is side B.
Explanation:To determine which side is the bottom and which side is on the left of the rectangular prism, we need to visualize how the paper was cut and folded. Let's assume that the original piece of paper had the letters A, B, C, D, E, and F on it. After folding, the side with the letter C will be the bottom of the rectangular prism, and the side with the letter B will be on the left. So, the correct answer is A. C is on the bottom, B is on the left.
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Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralph, and Peter weighs three times as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?
1. Which is an example of an activity with a moderate amount of physical activity?
a.) cross-country skiing
b.) biking up steep-hill terrains
c.) playing a game of soccer
d.) skating
2. Which could be considered a vigorous physical activity?
a.) surfing
b.) dancing
c.) playing doubles tennis
d.) chopping wood
3. Which activity provides a low level of physical exercise?
a.) raking leaves
b.) walking the dog
c.) dancing
d.) washing dishes
Activities that provide moderate, vigorous, or low exercise levels can be determined by their intensity and duration. Skating involves moderate physical activity, surfing can be considered a vigorous activity, and walking the dog provides a low level of physical exercise.
Explanation:The level of physical activity involved in various activities usually depends on the intensity and duration of the actions involved. An example of an activity involving a moderate amount of physical activity could be d.) skating, considering the balance, coordination, and movement involved.
A vigorous physical activity, on the other hand, is characterized by increased heartbeat and breathing. Based on this, a.) surfing could be categorized as a vigorous activity as it involves intense body workout and body balance. Lastly, an activity that provides a low level of physical exercise involves less effort and fewer calories burned. A good example of this could be b.) walking the dog, as this activity mostly involves casual walking.
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Solve log x − 1 16 = 4.
what's 6 diveded by 711
simplify
(10)/(5b+4)+(6)/(2b-3)
A.-10b-54/(5b+4)(2b-3)
B. 16/7b+1
C. 16/(5b+4)(2b-3)
D. 50b-6/(5b+4)(2b-3)
Which national legislature has themost members?
356 added to the product of 56 and an unknown number is equal to -832 what is the equation for the given statement
The Answer:
356+56y=-832
when traveling in europe,bailey converts the temperature given in degrees celsius to a fahrenheit temperature by using the expression 9x÷5 32, where x is the celsius temperature.find the temperature in degrees fahrenheit when it is 15°c
To convert 15°C to Fahrenheit, we use the formula °F = (9/5 x °C) + 32, which will give us 59°F as the equivalent temperature. The formula is based on the freezing and boiling points of water in the two scales.
Explanation:To convert a temperature given in degrees Celsius to Fahrenheit, we use the formula °F = (9/5 × °C) + 32. In this case, where the Celsius temperature (x) is 15, we substitute 15 into the formula: °F = (9/5 * 15) + 32. The calculation then becomes °F = 27 + 32 = 59°F, meaning 15°C is equivalent to 59°F on a Fahrenheit scale.
The formula is derived from the fact that the freezing point of water is 0°C (32°F) and the boiling point is 100°C (212°F). On the Fahrenheit scale, that's a range of 180 (212 - 32), and on the Celsius scale, it's 100 (100 - 0), which gives us the ratio 180/100 or 9/5.
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What's an equation for A new plasma-screen television costs $5250. A family makes a down payment of $552 and pays off the balance in 24 equal monthly payments. ...?
Final answer:
To find the amount for the monthly payments for a plasma-screen TV, subtract the down payment from the total cost and divide by the number of installments. The equation is: Monthly Payment = (Total Cost - Down Payment) / Number of Installments, which calculates to $195.75.
Explanation:
The student is seeking to find an equation that represents the cost of a plasma screen television being paid off with a down payment and equal monthly installments. Given the total cost of the television is $5250 and the down payment is $552, we can start by calculating the remaining balance after the down payment, which will be paid in 24 equal monthly payments.
First, subtract the down payment from the total cost to find the balance that needs to be paid in installments:
Total cost of television: $5250Down payment: -$552Balance to be paid in monthly installments: $5250 - $552 = $4698Next, we divide the balance by the number of monthly payments to find the amount of each payment:
Number of monthly payments: 24Monthly payment amount: $4698 / 24 = $195.75Therefore, the equation that represents the monthly payment after the down payment is:
Monthly Payment = (Total Cost - Down Payment) / Number of Installments
Applying the given numbers we get:
Monthly Payment = ($5250 - $552) / 24
Plugging in the values:
Monthly Payment = $4698 / 24 = $195.75
There are 6 female goldfish for every 10 male goldfish in an aquarium. there are 216 female goldfish in the aquarium. how many goldfish are in the aquarium
Answer:
In Total=560
Step-by-step explanation:
216/6=36
36*10=360
216+360=560
What is the difference between slope on a table and slope on a graph
The difference between slope on a table and slope on a graph is shown below:
The slope on a table refers to the rate of change between two points represented in a table of values.
It is calculated by finding the ratio of the change in y-values to the change in x-values between two points.
The slope on a table is determined by taking the difference in y-values and dividing it by the difference in x-values.
On the other hand, the slope on a graph refers to the steepness or incline of a line that connects two points on a graph.
It is calculated by the ratio of the vertical change (rise) to the horizontal change (run) between two points on the graph.
While both the slope on a table and the slope on a graph represent the rate of change, they are determined differently.
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On the first day of the year, Diego had $700 in his savings account and started spending $35 a week. His brother Juan had $450 and started saving $15 a week. After how many weeks will the brothers have the same amount? What will that amount be?
Help !
Accounts Payable had a normal starting balance of $800. There were debit postings of $600 and credit postings of $300 during the month. The ending balance is a
A. $500 credit.
B. $1,000 debit.
C. $500 debit.
D. $1,000 credit
Answer:
The correct answer is most definitely A. $ 500 credit
Step-by-step explanation:
I am 100% Positive
Consider the surface given by
2x^2+5y^2+z^2=4.
The surface is sliced by planes of the form x=a, y=b or z=c for values of a, b, c given below. How do I match the resulting slices (in other words, the corresponding traces) with their correct plots?
-- Also the slices are:
1. z= 1.5
2. x= 1
3. z=0
4. y=0
The student can match each slice of the surface 2x^2+5y^2+z^2=4 with its correct plot by substituting the slice values into the equation, resulting in a set of new equations each representing a different conic section centered at the origin.
Explanation:To understand the shapes or plots of the resulting slices when the surface given by 2x^2+5y^2+z^2=4 is sliced by planes of the form x=a, y=b or z=c, you must substitute values of a, b, and c into the equation of the surface to reveal new equations describing the slices.
Let's take z=1.5 as example. Substituting z with 1.5 into the equation, we get 2x^2+5y^2+(1.5)^2=4. This simplifies to 2x^2+5y^2=2.25. This is the equation for an ellipse centered at the origin on the xy plane.Substituting x=1 into the equation gives us 2*(1)^2+5y^2+z^2=4. This simplifies to 5y^2+z^2=2, another ellipse but centered at the origin on yz plane.Substituting z=0, gives us the equation 2x^2+5y^2=4. This is the equation of an ellipse in the xy plane centered at the origin.Finally, substituting y=0 into the equation results in 2x^2+z^2=4. This is the equation of a circle in the xz plane centered at the origin.By comparing these resulting equations with the standard forms of conic sections (circle, ellipse), you can match them with their correct plots.
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The expression in the figure below represent the measures of two angle.Find the value of x . f || g . The diagram is not to scale.
What is the distance between -3.1 and -5.7 on a number line?
The distance between -3.1 and -5.7 on the number line is 2.6 units.
The distance between two points on the number line is the absolute difference between those two points.
So, the distance between -3.1 and -5.7 is:
[tex]|-3.1 - (-5.7)| = |-3.1 + 5.7| = |2.6| = 2.6[/tex]
Therefore, the distance between -3.1 and -5.7 on the number line is 2.6 units.
You are remodeling your kitchen. You've contacted two tiling companies who gladly told you how long it took their workers to tile a floor of a similar size. Jim completed half the floor in 7 hours. Pete completed the other half of the floor in 6 hours. If Pete can lay 15 more tiles per hour than Jim, what equation would you use to find the rate that Jim can lay tiles? Let x represent Jim's rate.
explain why the answer is correct
Answer:
7x = 6(x+15)
Step-by-step explanation:
a pex
Which of the following is an example of why irrational numbers are 'not' closed under addition?
√4 + √4 = 2 + 2 = 4, and 4 is not irrantonal
1/2 + 1/2 = 1, and 1 is not irrational
√10 + (-√10) = 0, and 0 is not irrational
-3 + 3 = 0, and 0 is not irrational
Answer:
Step-by-step explanation:
its answer C !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3,−4)?
PETS Becky wants to buy some fish for her aquarium. She has $20 to spend and the fish cost $2.50 each. Write and solve an inequality to find how many fish Becky can afford.
The inequality 2.5x ≤ 20 represents the given situation, and Becky can afford at most eight fish.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Let x be the number of fish Becky can afford.
We can write an inequality to represent the situation using the cost of the fish and the amount of money Becky has:
2.5x ≤ 20
To solve this inequality, we'll start by isolating the variable x on one side of the inequality. To do that, we'll divide both sides of the inequality by 2.5:
x ≤ 8
This inequality tells us that Becky can afford at most 8 fish.
To check:
20/2.5 = 8 fish
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The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p that it charges. The revenue R is given by the following function.
R(p)= (-1/2)p^2+1520p
What unit price p should be charged to maximize revenue? Give your answer correct to the nearest dollar. ...?
To maximize revenue for John Deere's heavy-duty tractors, the optimal unit price is found by determining the vertex of the provided quadratic revenue function R(p). Using the vertex formula, the unit price p that maximizes revenue is $1520.
Maximizing Revenue for John Deere Heavy-Duty Tractors
To find the unit price that maximizes revenue for John Deere heavy-duty tractors, we need to analyze the revenue function R(p) provided, which follows a quadratic format:
R(p) = [tex](-1/2)p^2[/tex] + 1520p
To find the maximum revenue, we can use the fact that the vertex of a parabola described by a quadratic equation y = ax^2 + bx + c provides the maximum or minimum value of the function. Since our equation is in the form of a parabola opening downwards (because the coefficient of p^2 is negative), the vertex will give us the maximum revenue point.
The formula for the p-coordinate (horizontal axis) of the vertex of a parabola is given by -b/(2a). In this case, a = -1/2 and b = 1520, therefore:
p = -b/(2a) = -1520/(2 * (-1/2)) = -1520/(-1) = 1520
Hence, the unit price p should be set at $1520 to maximize revenue for the sale of heavy-duty tractors. This value is already an integer, so rounding to the nearest dollar is not necessary.
If f(x) = integral of 1/ (sqrt of t^3 +2)dt, then f'1 = ?
I'll write the equation with teh equation thing also ...?
A certain chain of ice cream stores sells 28 different flavors, and a customer can order a single-, double- , or triple-scoop cone. suppose on a multiple-scoop cone that the order of the flavors matter and that the flavors can be repeated.how many possible cones are there? ...?
There are 22,764 possible cones.
Explanation:To calculate the number of possible cones, we need to consider the number of flavors and the number of scoops. Since a customer can order a single-, double-, or triple-scoop cone, we will consider each case separately.
For a single-scoop cone, the customer can choose one flavor out of the 28 available flavors. Therefore, there are 28 possible single-scoop cones.
For a double-scoop cone, the customer can choose two flavors for the two scoops. Since the order of the flavors matters and repetition is allowed, we can think of this as selecting two flavors with replacement. Using the formula n^r, where n is the number of flavors and r is the number of scoops, there are a total of 28^2 = 784 possible double-scoop cones.
For a triple-scoop cone, the customer can choose three flavors for the three scoops. Again, using the formula n^r, there are a total of 28^3 = 21,952 possible triple-scoop cones.
Therefore, the total number of possible cones is 28 + 784 + 21,952 = 22,764.
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Rick combines 8 atoms of hydrogen and 4 atoms of oxygen to make 4 molecules of water
Choose the answer that solves the equation:
7 – 3 + 5 × (6 – 2) = ?
A) 0
B) 16
C) 24
D) 36
Answer:b
Step-by-step explanation: