The constant of proportionality to convert gallons to pints given the information in the table is 8.
What is the constant of proportionality?The constant of proportionality is the ratio that equates to variables in a directly proportional relationship. A directly proportional relationship is a relationship where the two variables move in the same direction.
The equation for direct proportionality:
y = bx
where:
y = dependent variable = gallons b = constant of proportionalityx = independent variable = pints16 = 2b
b = 16/2 = 8
40 = 5b
b = 40 / 5 = 8
56 = 7b
b = 56 / 7 = 8
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how many ways can you make a 5 digit password that can be any number (including zero) or letter (not case sensitive)? 916132832
These work out to 60,466,176 case insensitive combinations of letters.
There are 10 digits 0–9.
The are 26 letters in the modern alphabets.
However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.
There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.
You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.
Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.
So, there are either 36 (10 digits and 26 letters).
To find the number of combinations you multiply the number of possibilities for each character;
36 x 36 x 36 x 36 x 36
These work out to 60,466,176 case insensitive combinations of letters.
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Answer the 4 question in the photo for EASY points ( 20 points )
The pink ribbon is shortest.
Purple > yellow > silver > pink
PLS HELP ASAP THIS QUESTION IS REALLY EASY
Answer:
x = -1, y = -1
Step-by-step explanation:
[tex]4x + 3 = - 8x - 9[/tex]
[tex]12x + 3 = - 9[/tex]
[tex]12x = - 12[/tex]
[tex]x = - 1[/tex]
[tex]y = 4( - 1) + 3 = - 4 + 3 = - 1[/tex]
For questions 1-2, find the distance and midpoint of the segments given the endpoints. 1. AB with A(3, 4) and B(-1, 10) Midpoint
Given the points A(3,4) and B(-1,10), we can find the distance between them using the following function:
[tex]d(A,B)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]then, we have the following:
[tex]\begin{gathered} (x_1,y_1)=(3,4)=A \\ (x_2,y_2)=(-1,10)=B \\ \Rightarrow d(A,B)=\sqrt[]{(-1-3)^2+(10-4)^2}=\sqrt[]{4^2+6^2}=\sqrt[]{16+36}=\sqrt[]{52} \\ =\sqrt[]{4\cdot13}=2\cdot\sqrt[]{13} \\ d(A,B)=2\cdot\sqrt[]{13} \end{gathered}[/tex]HELP PLEASE I GIVE BRAINY IF U ANSWER RIGHT AND IF I CANT READ THAT THERE IS MORE THEN ONE ANSWER U WONT GET ANYTHING
ANSWER BOTH QUESTIONS PLEASE IF U DON'T I WONT GIVE U A THING
Question 1
Which ordered pairs lie on the graph of the exponential equation
f(x) = 25(2.2)^x ?
Select EACH correct answer.
A. (0, 0)
B. (0.5, 37.08)
C. (1, 55)
D. (2, 121)
THE FIRST PICTURE GOES WITH QUESTION 2 ONLY
Question 2
The function f(x) = (3/8)^x is shown on the coordinate plane.
Determine which expressions describe the end behaviors of the function.
Select EACH correct answer.
A. As x increases without bound, the graph of f(x) decreases without bound.
B. As x increases without bound, the graph of f(x) approaches y = 1.
C. As x decreases without bound, the graph of f(x) increases without bound.
D. As x decreases without bound, the graph of f(x) approaches y = 0.
The ordered pairs lie on the graph of the exponential equation is
(0.5, 37.08) (1, 55) (2, 121)What is exponential equation?Exponents are used in exponential functions, as the name indicates. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). One of the following forms can be used for an exponential function.
According to its definition, a fundamental exponential function has the formula f(x) = [tex]b^x[/tex], where b is a constant and x is a variable. The exponential function f(x) = [tex]e^x[/tex], where "e" is "Euler's number," and e = 2.718, is one of the most well-known ones. An exponential function may incorporate a constant if we expand the potential of various exponential functions.
Given function:
f(x) = 25 [tex](2.2)^x[/tex]
Now, taking x=0
y = f(x) = 25
and, x=0.5
y= f(x) = 37.08
and, x = 1
y = 55
and, x=2
y = 121
So, the ordered pairs lie on the graph of the exponential equation is
(0.5, 37.08) (1, 55) (2, 121)2. The given function is [tex]f(x)= (3/8)^x[/tex]
Now, as per the graph As x decreases without bound, the graph of f(x) approaches y = 1.
Or, As x decreases without bound, the graph of f(x) increases without bound.
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Identify each pair of angles as corresponding, alternate interior, alternate exterior, consecutiveinterior, vertical, or adjacent. Explain step-by-step
Given: Pair of parallel lines and a transversal with angles x and y.
Required: To determine which type of angles are formed by x and y.
Explanation: Consider the following figure below showing a pair of parallel lines and a transversal
In the figure, line l is parallel to line m, and line n is the transversal.
Further alternate angles are the pair:
[tex](\angle1&\angle8),(\angle2&\angle7),(\angle3&\angle6),(\angle4&\angle5)_[/tex]The angles lying inside the parallel lines are alternate interior, while the angles lying outside the parallel lines are the alternate exterior.
While the corresponding angles are the pair:
[tex](\angle2&\angle6),(\angle1&\angle5),(\angle3&\angle7),(\angle4&\angle8)[/tex]Finally, the consecutive interior angles are the pair of non-adjacent angles that lie on the same side of the transversal. In the figure above, the consecutive interior angles are:
[tex](\angle4&\angle6),(\angle3&\angle5)[/tex]Hence the given pair of angles x and y are consecutive interior angles.
Final Answer: Option D is correct.
Ben orders t-shirts for $8.00 per t-shirt. There is a $6.00 flat fee for shipping. He only has $50.00 to spend. How many t-shirts can he
buy?
PLEASE PLEASE HELP RN 20 POINTS ADDED
Answer: The answer is 5 shirts
Step-by-step explanation:
8x + 6 = 50
subtract 6 from each side:
8x +6 (-6) = 50 (-6)
8x=44
divide by 8:
8x/8=44/8
x=5.5
round to single shirts:
x=5 shirts
Answer:
Step-by-step explanation: you have to divide 50 by 8 then get your answer of 6.25, but you also have to consider two things; the extra $6.00 flat fee, and you cant buy 6.25 shirts, so what we do is multiply 8 times 6 to get 48, but we have to consider the extra $6.00, so you take away 8 which gives you 5 shirts, plus the shipping fee so in all he can buy 5 shirts.
Convert the following repeating decimal to a fraction in simplest form. .07
What is 0.044444... as a fraction?
Answer:
0.044444 = 11111/250000
Step-by-step explanation:
[tex]=\frac{44444}{1000000} =\frac{22222}{500000} =\frac{11111}{250000}[/tex]
Hope this helps
HELP PLEASE ITS DUE BY MIDNIGHT
using a calculator,find the value of each mathematical statement.
PLSSS HELP
The exponents are solved below\
What are exponents?
Exponentiation is a mathematical process denoted by the symbol bn that involves two integers, the base b and the exponent or power n, and is spoken as "b (raised) to the (power of) n." Exponentiation corresponds to repeated multiplication of the base when n is a positive integer: bn is the product of multiplying n bases. Typically, the exponent is displayed as a superscript to the right of the base. In such scenario, bn is referred to as "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or, more succinctly, "b to nth." In other words, when a base raised to one exponent is multiplied by the same base raised to another exponent, the exponents accumulate.
The exponents are solved as follows
(10⁻²)⁹ = 10⁻¹⁸ = 1/10¹⁸
10⁻³ - 10⁻⁸ = 1/10³ - 1/10⁸ = (10⁵ - 10⁸)/10⁸ = 9.9999x10⁻⁴
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Given: 4+x=16
What is the value of x?
Need this answered ASAP
Answer:
To get the answer for X we have to subtract 16 from 4 which gives us 12
X=12
Hope this helps.
Answer:
4+X= 16
X=16-4
X=12
*To find X , you need to minus 16 by four. That is because you have to move (+4) to the other side (change sides,change signs). So (+4) becomes (-4) so 16-4 =12
mark has 5 pants and 7 shirts in his closet. he wants to wear a different pant/shirt combination each day without buying new clothes for as long as he can. how many weeks can he do this for?
Mark has 35 unique combinations to choose from, so can he co go 5 weeks with this set of clothes
Number of pants in Mark's closet = 5
Number of shirts in Mark's closet = 7
Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.
He can choose amongst the pants in 5 ways, similarly, he can choose among the shirts in 7 ways
Total number of combinations = 5*7 = 35 unique combinations
So, if he wears one combination each day he can last 35 days or 5 weeks, without buying new clothes
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You can also use an area model to find the product of 253 x 34
Answer: 8602 is the answer to 253 x 34, do you want the other parts solved too?
Step-by-step explanation:
Work out, giving your answer in it's simplest form: 4 1/5 × 5/14
Damon drew a scale drawing of a swimming pool. The scale he used was 1 inch : 9 feet. The diving board is 2 inches long in the drawing. How long is the actual diving board?
Since the scale utilized in the draw is 1 inch : 9 feet and the diving board is 2 inches, we need to multiply the 2 inches by the scale:
[tex]2\cdot9ft=18ft[/tex]The actual diving board is 18ft long
Can anyone help me with this?
Answer:
13 sec
Step-by-step explanation:
Prius' acceleration
60 mi/hr = 88 ft s
accel = change in v / change in time = 88 f/s / 10.3 s = 8.54 ft / s^2
F = ma = 2903 * 8.54 = 24802 lb ft/s^2
Now increase the mass to 4903 by adding a 2000 lb trailer (which, by the way is way past the towing capacity of an anemic Prius !)
F = ma
24802 = 4903 a shows a = 5.06 ft/s^2
45 mi/hr = 66 ft/s
a = change in v / change in time
5.06 = 66 / 5.06 = 13 sec
BRAINLIEST will be given to the answer
Write in the form (x + p)^2 + q
x^2 - 5x + 3
Answer:[tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex] is in the form [tex][x+p]^{2} +q[/tex]
Step-by-step explanation:
Here given is [tex]x^{2} -5x+3[/tex].................................eq [1]
now we know that [tex][x-\frac{5}{2}] ^{2}[/tex]= [tex]x^{2} -5x+\frac{25}{4}[/tex]............eq [2]
now add and subtract [tex]\frac{25}{4}[/tex] in eq 1
[tex]x^{2} -5x+3+\frac{25}{4} -\frac{25}{4}[/tex]
[tex]x^{2} -5x+\frac{25}{4}+3-\frac{25}{4}[/tex]
[tex][x-\frac{5}{2} ]^{2} +\frac{3*4-25}{4}[/tex]................................from eq[2]
[tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex]
so comparing with the given form [tex][x+p]^{2} +q[/tex]
where p=[tex]\frac{5}{2\\}[/tex] and q=[tex]\frac{-12}{5}[/tex]
PLS HELO IM MARKING BRAINLEIST!!
∠O ≅ ∠U is third statement which is congruent .
What is congruent triangle?
Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to having precisely the same form and size.If all three sides of two triangles are the same, they are said to be congruent. If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.ΔONP and ΔUTV are congruent .
By using ASA Theorem ,
NP ≅ TV
∠P ≅ ∠V
∠O ≅ ∠U
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Answer:
∠O ≅ ∠U is third statement which is congruent .
Step-by-step explanation:
What is congruent triangle?
Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other.
Congruent refers to having precisely the same form and size.
If all three sides of two triangles are the same, they are said to be congruent.
If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.
ΔONP and ΔUTV are congruent .
By using ASA Theorem ,
NP ≅ TV
∠P ≅ ∠V
∠O ≅ ∠U
BRAINLIST??
A rectangular park is 40 yards wide. then a city planner designs a path that is 1 yard wide to run all the way around the park.now the area of the park plus the path is 4200 square yards.how long is the park not counting the path?
The length of the park not counting the path is 98 yards
How to determine the length of the park
The formula for determining the area of a rectangle is expressed as;
Area = lw
Where;
l is the length of the rectanglew is the width of the rectangleFrom the information given, we have that;
The dimensions of the path having a width of 1 yard path around it are
(L+2) x (W+2)
We have to add 2 to the length and width because there will be a 1 yard path on all 4 sides of the rectangle
Given that the area is 4200 square yards; the original width is 40 yards
Now, substitute the values into the formula, we have;
Since Area = LW
4200 = (L+2)(W+2)
4200 = (L+2)(40+2)
Add the values
4200 = (L+2)(42)
expand the bracket
4200 = 42L + 84
collect like terms
4116 = 42L
Make 'L' the subject of formula
L = 98 yards
Hence, the length is 98 yards
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Answer:
98 yards
Step-by-step explanation:
Given equal probabilities of the birth of a xy or xx, what is the probability that a group of four siblings includes all xy? all xx? all xy or all xx?.
The probability of all XY in a group of four siblings is 1/16 (6.5%), and also the probability of all XX offspring is 1/16 (6.5%).
Let us first know how do chromosomes work?
Long DNA molecules called chromosomes contain all or a portion of an organism's genetic code. Males receive one X and one Y chromosome from each parent, whereas females receive two X chromosomes from each parent.
For females, the likelihood or probability of inheriting two X chromosomes is 1/2 (50%) while for men, the probaility of receiving one X chromosome and one Y chromosome is similarly 1/2.
Therefore, the probability that all XY siblings are present in a group of 4 siblings is:
[tex]1/2 * 1/2 * 1/2 * 1/2 = 1/16[/tex]
Also the probability that a family of four siblings or offspring includes all XX is
[tex]1/2 * 1/2 * 1/2 * 1/2 = 1/16[/tex]
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The probability of all XY in a group of four siblings is 1/16 (6.5%), and also the probability of all XX offspring is 1/16 (6.5%).
For females, the likelihood or probability of inheriting two X chromosomes is 1/2 (50%) while for men, the probability of receiving one X chromosome and one Y chromosome is similarly 1/2.
Therefore, the probability that all XY siblings are present in a group of 4 siblings is:
1/2*1/2*1/2*1/2=1/16
Also the probability that a family of four siblings or offspring includes all XX is
1/2*1/2*1/2*1/2=1/16
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mr jeneski is preparing for a half marathon. He runs a total of 60 miles per week. Five of those miles are ran on saturday, and he takes sunday off. How many miles does he run per day, Monday-Friday
11 miles he run per day, Monday-Friday.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total distance travelled = 60 miles.
On Saturday= 5 miles
Sunday was off
So, from Monday to Friday he travelled
=60 - 5
= 55 miles.
and, per day he run
= 55/5
= 11 miles
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how to find the edge of a cube with the volume of 125 inches
Answer:
5 inches
Step-by-step explanation:
Hello!
The volume of a cube is simply the side length cubed, or the side lengthed multiplied by itself 3 times.
So, to find the edge, we can find the cube root of 125 to find that measure.
Find the Side Lengthx³ = 125x = ∛125x = 5The edge is 5 inches.
can someone please help me solve this math problem with solution too?? TYY!!
Answer: 2080
Step-by-step explanation:
62² −42²
3844−42²
3844−1764
2080
Calculate (9.5 × 106) + (4.2 × 106)
Give your answer in standard index form.
Answer:
1.4522 x [tex]10^{3}[/tex]
12x + 5y = -24 13x - 5y = 14 Linear Equations By Elimination
Let,
[tex]\begin{gathered} 12x+5y=-24\ldots(1) \\ 13x-5y=14\ldots(2) \end{gathered}[/tex]Perform the operation (1)+(2),
[tex]\begin{gathered} 12x+5y+(13x-5y)=-24+(14) \\ 12x+13x+5y-5y=-10 \\ 25x+0y=-10 \\ 25x=-10 \\ x=\frac{-10}{25} \\ x=\frac{-2}{5} \end{gathered}[/tex]Substitute the value of x=-2/5 in the expression (1).
[tex]\begin{gathered} 12\times\frac{-2}{5}+5y=-24 \\ 5y=-24+\frac{24}{5} \\ 5y=\frac{-96}{5} \\ y=\frac{-96}{5\times5} \\ y=\frac{-96}{25} \end{gathered}[/tex]Thus, the value of x is -2/5 and value of y is -96/25.
A box contains 5 reams of paper. How could you estimate the thickness of 2 sheets of paper. One ream is 500 sheets.
Answer:
If one ream is 500 sheets, then that would mean that two reams combined are 1,000 sheets, and the fact that there are 5 reams is just a random number meant to throw you off.
Please help due tonight
Answer:
C.
Step-by-step explanation:
The solution to a system of equations is the point where the two lines intersect. In this case, the lines intersect at Point C.
What is the slope line that passes through the points (-6,4) and (-15,4)?
Answer: the slope=0
Step-by-step explanation:
[tex]\displaystyle\\(-6,4)\ \ \ \ \ (-15,4)\\\\\boxed {The\ slope=\frac{y_2-y_1}{x_2-y_1} }\\\\The\ slope=\frac{4-4}{-15-(-6)} \\The\ slope=\frac{0}{-15+6} \\\\The\ slope=0[/tex]
Quadratic equation whose roots are -6 and 2 and whose leading coefficient is 2
Answer:
x² + 4x - 12
Step-by-step explanation:
Roots: -6 and 2
Leading coefficient: x²
(x + 6)(x - 2)
x(x - 2) + 6(x - 2)
x² - 2x + 6x - 12
x² + 4x - 12
I hope this helps!