The room scale will only fit on an 8 1/2" X 11" page if 1/2 iinch = 1 foot is used. If we take the largest measurement 15 X 20......the 15 would hang over the edge of the paper no matter which way we turn it. With the 1/2" we can get 17 feet on the 8 1/2 side and and 22 on the 11" side.
1/2 inch = 1 foot is the correct answer
A collection of quarters and dimes is worth $6.75. The number of dimes is 4 less than three times the number of quarters. How many quarters and dimes are in the collection?
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which sampling method would most likely be used in a poll of voters regarding a referendum calling for a national gun control standardization?
(A) Use satisfied random sampling
(B) Use simple random sampling
(c) Use convenience sampling
(D) Use cluster sampling
(E) Use systematic random sampling
Answer:
(A) Use stratified random sampling
Step-by-step explanation:
Since, the population include all the citizens of that country so it is quite large data and working on this population is quite time taken and costly. Thus, Sample must be taken and it must be taken by appropriate sampling method.
Here Stratified Sampling is used because by this sampling method peoples of every state, every cities, every village can be taken without much expense and in less time.
Further,
If the samples from the population are chosen randomly, where each and every unit has an equal chance of selection in a sample. This type of sampling is called Simple Random Sampling.
If the observers collect the sample as his\her convenience, then this type of sampling method is called Convenience Sampling.
In Cluster Sampling the population is distributed into a distinct group (clusters) and one or more groups (clusters) are chosen as a sample.
In Systematic Sampling the selection of sample is taken by some criteria . Like he\she is taken every 7th unit as a sample from the population.
What is the inverse of the following statement? If you live in Toronto, then you live in Canada
The inverse of the statement "If you live in Toronto, then you live in Canada" is:
"If you do not live in Toronto, then you do not live in Canada."
What is a conditional statement?A conditional statement is a type of logical statement that consists of two parts: a hypothesis (or antecedent) and a conclusion (or consequent).
The hypothesis is a statement that serves as a condition, while the conclusion is a statement that follows from the condition.
A conditional statement is usually written in the form "If p, then q", where p is the hypothesis and q is the conclusion.
The symbol "→" is often used to represent the phrase "if...then".
We have,
To make the inverse of a conditional statement "if p, then q", you simply negate both the hypothesis and the conclusion, and then switch their positions.
The inverse of "if p, then q" is "if not p, then not q".
This can be symbolically represented as:
Original Statement: If p, then q
Inverse Statement: If not p, then not q
So,
The inverse of a conditional statement:
If p, then q is If not p, then not q".
Therefore,
The inverse of the statement "If you live in Toronto, then you live in Canada" is:
"If you do not live in Toronto, then you do not live in Canada."
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1. Simplify (4xy^2)^3(xy)^5
2. Simplify (2t^–3)^3(0.4r)^2
Thank you whoever answers so much!,
Note main rules:
[tex]1.\quad (a\cdot b)^n=a^n\cdot b^n,\\ \\2.\quad a^m\cdot a^n=a^{m+n},\\ \\3.\quad (a^m)^n=a^{mn}.[/tex]
1. Consider expression [tex](4xy^2)^3(xy)^5.[/tex] Using previous rules:
1 step: [tex](4xy^2)^3=4^3\cdot x^3\cdot (y^2)^3=64x^3y^{2\cdot 3}=64x^3y^6;[/tex]2 step: [tex](xy)^5=x^5\cdot y^5;[/tex]3 step: [tex](4xy^2)^3(xy)^5=64x^3y^6x^5y^5=64x^{3+5}y^{6+5}=64x^8y^{11}.[/tex]2. Consider expression [tex](2t^{-3})^3(0.4r)^2.[/tex] Using previous rules:
1 step: [tex](2t^{-3})^3=2^3\cdot (t^{-3})^3=8t^{-3\cdot 3}=8t^{-9};[/tex]2 step: [tex](0.4r)^2=0.4^2\cdot r^2=0.16r^2;[/tex]3 step: [tex](2t^{-3})^3(0.4r)^2=8t^{-9}\cdot 0.16r^2=8\cdot 0.16t^{-9}r^2=1.28t^{-9}r^2.[/tex]Answer:
[tex]64x^8y^{11};[/tex][tex]1.28t^{-9}r^2.[/tex]MATH HELP LEASE WILL GIVE BRAINLIEST!!!
What is the value of θ for the acute angle in a right triangle?
sin(θ) = cos(58°)
Question 4 options:
32°
58°
122°
29°
can someone check my work. I don't know what I did wrong
Anybody have any answers?
In which quadrant of the coordinate graph does point F lie?
The sign notations for four Quadrants is as follows:
Quadrant I : both x and y positive.
Quadrant II : x negative and y positive
Quadrant III: x and y both negative.
Quadrant IV: x positive and y negative.
Point F has coordinates (1,-5)
x is positive and y is negative.
So point F is in quadrant IV.
A map of a public park shows a circular pond. there is a bridge along a diameter of the pond that is 0.85 mi long. you walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. how much farther does your friend walk? round your answer to the nearest hundredth. use 3.14 for π.
Answer:
Your friend walks about 0.48 miles farther than you.
Step-by-step explanation:
Find the circumference of the park.
C = πd Use the circumference formula.
C ≈ 3.14(0.85) Substitute for the diameter and π.
C ≈ 2.669 Multiply.
The circumference of the park is about 2.669 centimeters.
Find how far your friend walks when he or she walks halfway around the pond to meet you on the other side of the bridge. Divide the circumference by two.
0.785 ÷ 2 = 1.33
Your friend walks 1.33 miles.
Find how much farther your friend walks. Subtract the miles you walk from the miles your friend walks. Round your answer to the nearest hundredth.
1.33 − 0.85 ≈ 0.48
The inverse of x -> y is:
The number of mosquitoes in anchorage, alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=-x^2+14xm(x)=−x 2 +14xm, left parenthesis, x, right parenthesis, equals, minus, x, start superscript, 2, end superscript, plus, 14, x how many centimeters of rain will produce the maximum number of mosquitoes?
Answer:
Step-by-step explanation:
49 million misquitos
Simplify 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n
Final answer:
The simplified expression of 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n is -2 + 5.5n - 0.5p after combining like terms.
Explanation:
To simplify the algebraic expression 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n, we need to combine like terms. The constants 1 and -3 can be combined, and the terms with 'n' and 'p' can each be combined respectively. Let's do this step by step:
Combine the constants: 1 - 3 = -2.Combine the 'n' terms: 4.25n + 5/4n = (17/4)n + (5/4)n = (22/4)n = 5.5n.Combine the 'p' terms: (3/2)p + (-2p) = (1.5 - 2)p = -0.5p.The simplified expression is -2 + 5.5n - 0.5p.
Which of the following are characteristics of the graph of the quadratic parent function?
A. It has one intercept.
B. It opens down.
C. It has a vertex at (0, 0).
D. It is U-shaped.
Answer:
The correct options are A, C and D.
Step-by-step explanation:
The quadratic parent function is
[tex]f(x)=x^2[/tex]
The properties of quadratic parent function are:
1. It has one intercept, i.e, x- and y-intercept are at origin.
2. It has a vertex at (0, 0).
3. It is U-shaped.
4. Each image y has two preimage, except 0.
5. It opens up.
From the given option one the option B is incorrect because the quadratic parent function opens upward.
Therefore the correct options are A, C and D.
PUTTING MAX POINTS
Find all polar coordinates of point P where P = (6, -π/5)
Answer choices:
(6, -π/5 + 2nπ) or (-6, -π/5 + 2nπ)
(6, -π/5 + 2nπ) or (-6, -π/5 + (2n + 1)π)
(6, -π/5 + (2n + 1)π) or (-6, -π/5 + 2nπ)
(6, -π/5 + 2nπ) or (6, π/5 + (2n + 1)π)
Your answer should be d
what two numbers multiplies to -90 and add to -8
Final answer:
The two numbers that multiply to -90 and add up to -8 are -10 and 2. This is found by factoring -90 and checking different factor pairs until the correct one is identified.
Explanation:
The student is asking for two numbers that when multiplied result in -90, and when added result in -8. This is a factorization problem that can be addressed by setting up a system of equations or by using intuition to guess and check pairs of factors. We are looking for a pair of numbers that have one positive and one negative number, because the product is negative (-90), and the sum is also negative (-8).
By listing out the factors of 90, we can test which pair of numbers, with one being negative, would multiply to -90 and add up to -8. After some trial and error, we find the pair that works are -10 and 9. -10 × 9 = -90 and -10 + 9 = -1. However, since the sum needs to be -8, then the correct pair is -10 and 2, because -10 × 2 = -20 and -10 + 2 = -8.
An artist wants to reduce the size of a drawing using a scale factor of 3:1 . The original drawing has an area of 720 square inches. What is area of the new drawing? Enter your answer in the box. in²
Answer: The area of the new drawing is 240 in².
Step-by-step explanation:
Hi, to answer this we have to use ratios:
Since the ratios is 3:1, it means that 3 units are equal to 1: 3/1
So, 720 units will be equal to x : 720/x
3/1 = 720/x
Solving for x:
x = 720/ (3/1)
x = 720/3
x = 240 in²
The area of the new drawing is 240 in².
Feel free to ask for more if needed or if you did not understand something.
4. Name a pair of corresponding angles
1. Angle 1 and angle 6
2. Angle 2 and angle 6
3. Angle 3 and angle 5
4. Angle 4 and angle 5
~
5.Use the figure. Assume that lines JL and MP are parallel
If m angle 4 =105°, then what is m angle 8?
1. 105°
2. 75°
3.175°
4.25°
For the given case the pair of angles are consecutive angles, corresponding angles, consecutive interior angles and alternate interior angles respectively and ∠8 = 105°. The correct option is (1).
What are parallel lines?The parallel lines are a group of straight lines that never intersect with one another. The distance between two parallel is always the same.
The given problem can be solved as follows,
(4) The pair of angles can be named as below,
(1) The angles ∠1 and ∠6 are called consecutive angles.
(2) The angles ∠2 and ∠6 are called corresponding angles.
(3) The angles ∠3 and ∠5 are called consecutive interior angles.
(4) The angles ∠4 and ∠5 are called alternate interior angles.
(5) The measure of ∠8 is given as below,
Since ∠4 and ∠8 are corresponding angles.
∠4 = ∠8 = 105°.
Hence, the names of the pair of angles are consecutive angles, corresponding angles, consecutive interior angles and alternate interior angles respectively and ∠8 = 105°.
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the weight of a goat increased by 12 pounds is 38 pounds.write an equation to represent the situation.
Is this done correctly or incorrectly??
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PLZ HELP ASAP
Which situation best represents a proportional relationship?
a. sandra sold 2 bracelets for $3 and 3 bracelets for $6.
b. jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.
c. lamont packed 27 glasses in 9 cases and 81 glasses in 27 cases.
d. fernanda placed 8 pencils in 2 boxes and 16 pencils in 8 boxes?
Using the similar triangles which equation could be used to find the slope of line AB
The equation that could be used to find the slope of line AB is m = p/q.
What are similar triangles?Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal proportion.
Given that, is a graph showing two similar triangles, we need find the equation of the slope of the line AB.
So,
The slope = rise / run = Δy / Δx
Here, Δy / Δx = m/n
Since, the triangles are similar so, m/n = p/q
Therefore,
Δy / Δx = p/q
Hence, the equation that could be used to find the slope of line AB is m = p/q.
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△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the given information, which statement is true? The triangles are similar because they each have an interior angle with a measure 70°. The two triangles are not similar because x≠y . The two triangles are not similar because y=90 so it is impossible to have three congruent angles. The two triangles are not similar because the interior angles are congruent but the side lengths are different.
△ABC has interior angles with measures x°, 100°, and 70°.
By using angle sum property, which states that the sum of measures of all three angles is 180 degrees.
[tex] x^{\circ}+100^{\circ}+70^{\circ}=180^{\circ} [/tex]
[tex] x^{\circ}=10^{\circ} [/tex]
Now, △DEF has interior angles with measures y°, 70°, and 20°.
By using angle sum property,
[tex] y^{\circ}+70^{\circ}+20^{\circ}=180^{\circ} [/tex]
[tex] y^{\circ}=90^{\circ} [/tex]
Now, we can say that,
"The two triangles are not similar because x≠y"
As one angle of measure 70 degree is common in both the triangles.
If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.
Therefore, the two triangles are not similar because x is not equal to y.
Write a recursive definition for the set of odd positive integers.
Final answer:
A recursive definition for the set of odd positive integers starts with a base case of 1 and uses a recursive step where each subsequent odd integer is obtained by adding 2 to the current odd integer.
Explanation:
To write a recursive definition for the set of odd positive integers, you can define a base case and a recursive step. The base case is the smallest odd positive integer, which is 1. The recursive step will then generate the next odd integer by adding 2 to the current odd integer. Here's how you can express it:
Base case: Let O1 = 1, which establishes that 1 is the first odd positive integer.
Recursive step: For every odd positive integer On, there exists an On+1 = On + 2. This means that if you have an odd positive integer, the next one in the set can be found by adding 2 to the current one.
This definition ensures that every number generated by the recursive step will be odd since adding 2 to an odd number always results in another odd number, and starting from 1, guarantees that all numbers will be positive.
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Graph the two lines:
2x + 3y = 18
3x -4y > 16.
Give the Domain and Range, Slope, and Y-intercept for each line.
Graph each equation above on the graph below and show all work.( Or tell me how to graph it)
Give the Domain and Range, Slope, and Y-intercept for each line. Explain in detail how you got each answer.
2x + 3y = 18 3x -4y > 16
Slope-Intercept Form: Slope-Intercept Form:
Domain: Domain:
Range: Range:
Slope: Slope:
Y-intercept: Y-intercept:
a shop made a profit of £23500 in 2009. in 2010 the profit increased to £28000.work out the percentage increase in profit, to the nearest 1%
Find the product of (x + 7)2. (1 point)
x2 − 14x + 49
x2 + 14x + 49
x2 − 49
x2 + 49
Triangle DEF is circumscribed about circle R. Points S, T and U are points of tangency where SD = 4 m and UF = 7 m. What is the measure of DF
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates. slope: −2, ordered pair: (−5,1)
The equation of line is, y= -2x-9.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
slope= -2
points= (-5, 1)
Now, using slope intercept form
y= mx+ b
1 = (-2)((-5) + b
1= 10 + b
b= -9
Thus, the equation of line
y= mx + b
y= -2x- 9
Hence, the equation of line is, y= -2x-9.
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A rental company charges $9.50 per hour for a scooter plus a $15 fee. Write an equation in slope- intercept form for the total rental cost C of renting a scooter for h hours