The only quantities that will be directly proportional are; A) distance and time traveled if speed is a constant 77 mph
Which Quantities are Directly Proportional?
Direct proportionality means the change of a similar kind.
For example, as pressure increases, density also increases, which means both the parameters (pressure and density) are experiencing a similar kind of change i.e. increment in their magnitude.
Looking at the given options;
A) Distance and time traveled if speed is a constant 77 mph.
Now, formula for speed is;
Speed = Distance/Time
Thus, if speed is constant, then it means that distance varies directly with the time because as distance increases, then time also increases.
B) We are told that the distance traveled is 110 miles.
Distance = Speed * time.
Thus, speed and time vary indirectly with the time because as one increases, the other decreases
C) Since the amount of money spent is constant, then it means that;
Amount spent = Price per item * number of items
The price per item and the number of items bought will vary indirectly
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HELP ASAP
Do you think that people are too free in the United States to do and say whatever they want or that there is not enough freedom? Do you feel that Americans have just the right amount of freedom? Explain your answer.
I believe that Americans have just the right amount of freedom.
How to illustrate the information?The First Amendment protects our freedom of speech and association, so the government cannot stop us from writing or speaking what we choose. We also have the right to create clubs and groups and participate in protests and rallies.
As long as you don't "materially and substantially" interrupt classrooms or other school activities, you have the right to voice your ideas. School administrators can disperse you if you stage a demonstration on the steps of the building and block the entrance. Additionally, they may be able to prevent you from using words that they deem to be "vulgar or indecent."
The above shows that despite the right of freedom, it's important to checkmate what people do.
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if die us rolled once what is the probability of getting a number that is not 3
The rule of probability is
[tex]P(A)=\frac{A}{\text{total}}[/tex]Since the die has 6 numbers, then
The total = 6
Since there are 5 numbers without 3, then
A = 5
Substitute them in the rule above
[tex]P(\text{not}3)=\frac{5}{6}[/tex]The answer is 5/6
A ratio is a….of … numbers. It can be written …different ways.
Let's analyze the example of the ratio of 9 to 15.
This ratio helps us to compare those two numbers. We can express it in different ways:
[tex]\begin{gathered} \frac{9}{15} \\ 9\colon15 \\ 9\text{ to 15} \end{gathered}[/tex]Answer: A ratio is a omparisonof … numbers. It can be written …different ways.Need help with this !!!!
y = - 4x + - 8 is equation of slope-intercept form.
What is in slope-intercept form?
Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form. Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.the equation of slope - intercept form
y = mx + c
( -1 , -4 ) is point shown in graph
slope = -y/x
= - ( -4)/-1 = 4/-1 = -4
- 4 = -4 * - 1 + c
- 4 = 4 + c
c = - 4 - 4 = - 8
put value of c in the equation of slope - intercept form
y = - 4x + - 8
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Mar GE How many pairs of whole numbers have a sum of 40? many pairs of whole numbers
The pairs of whole numbers which have 40 as a sum is 21
What is Whole numbers ?
All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions. Whole numbers include counting numerals as well.
For finding the term we use Arithmetic Progression which is :
a(n) = a + (n - 1)d
where,
a(n) = the nᵗʰ term in the sequence
a = the first term in the sequence
d = the common difference between terms
Given,
The first term a₁ = 0
The common difference d = 1 (from 1 - 0, 2 - 1, etc.)
The last term aₙ = 20
Putting the values in the formula we get,
20 = 0 + (n - 1)1
20 = 0 + n- 1
20 + 1 = n
21 = n
Hence, there are 21 pairs of whole numbers that have a sum of 40
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Match the letters with the numbersNote:multiple graphs will be used for each problem. Meaning a problem will have more than one graph to match withNote:it’s like matching the numbers with letters
A function is said to be an odd function if its graph is symmetric with respect to the origin.
Examples of odd functions are;
The odd functions are; C, D E, H, J, K, N
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
substitute with 10 in the equation
I need this asap!!!!!
Answer:
average rate of change = 23
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ 4, 9 ] , then
f(b) = f(9) = 212 ← from ordered pair in table
f(a) = f(4) = 97 ← from ordered pair in table , then
average rate of change = [tex]\frac{212-97}{9-4}[/tex] = [tex]\frac{115}{5}[/tex] = 23
Suppose that events E and F are independent, P(E) = 0.25, and P(F) = 0.7. What is the P(E and F) ?
the value of P(E and F) is equal to 0.175 when E and F are independent events with P(E) = 0.25 and P(F) = 0.7.
We are given the two events:
E and F
We are also given that these events are independent events and:
P (E) = 0.25
P (F) = 0.7
We need to find:
P (E and F)
We know, that when two events are independent events that is they don't relate to each other, then P(E and F) is given by:
P(E and F) = P (E) × P (F)
P(E and F) = 0.25 × 0.7
P(E and F) = 0.175
Therefore, we get that, the value of P(E and F) is equal to 0.175 when E and F are independent events with P(E) = 0.25 and P(F) = 0.7.
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Complete the square for y=x^2 - 6x-5?
Answer: y=(x-3)^2 -14
Step-by-step explanation:
use the formula (b/2)^2 to create a new term to complete the square
What does x equal? 5(x − 1) = 5x -1
Answer:
Nothing ( 0 )
Step-by-step explanation:
5(x - 1) = 5x - 1
5x - 1 = 5x - 1
5x - 5x = 1 - 1
0 = 0
which expression would be added to 5x + 7 to make it equivalent to the expression 9(x + 1) (Here are the answer choices.) A. 4x - 6B. 4x + 2 C. 9x + 1 D. 14x + 8
Let the expression we will add be "A", thus we can write:
[tex]5x+7+A=9(x+1)[/tex]We can use the distributive property on the right hand side and then use a bit algebra to solve for "A". The distributive property is shown below:
[tex]a(b+c)=ab+ac[/tex]Let's do the algebra. The steps are shown below:
[tex]\begin{gathered} 5x+7+A=9(x+1) \\ 5x+7+A=9x+9 \\ A=9x+9-5x-7 \\ A=4x+2 \end{gathered}[/tex]Thus, we need to add 4x + 2 to "5x + 7" to make it equal to "9(x+1)".
The correct answer is:
BIn the figure below, Z is the center of the circle. Suppose that QR=14, ST=14, UZ=3x+5, and VZ=23. Find the following.
S
Z
W
R
X =
0
TV = 0
8 08
X
S
The value of x is given by 6 units and the value of TV is given by 7 units.
A circle may be defined as a closed loop which has a fixed point around which the loop is made called the center and the fixed distance from the center of the circle to its periphery is known as the radius of the circle. We are given a circle with center at Z. In the circle QR and ST are the chords such that QR = ST = 14 that is both are of equal length, and we know that equal chords are at equal distance from the center. Therefore,
VZ = UZ
23 = 3x + 5
18 = 3x
=> x = 18/3
=> x = 6 units.
Now, we also know that perpendicular drawn from center of the circle to the chord bisects the chord. Thus,
TV = (1/2)×ST
TV = (1/2)×14
TV = 7 units.
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Find the real number solution(s) to the polynomial function f(x) = (x + 9)(x − 5)(x + 7).
a
x = −5, 7, 9
b
x = −9, −7, 5
c
x = −280
d
x = 11
For the given polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.
As given in the question,
Given polynomial function :
f(x) =(x+9)(x-5)(x+7)
Real number solutions for the given polynomial function
f(x) =(x+9)(x-5)(x+7)
Values for which f(x) =0
0= (x+9)(x-5)(x+7)
Equate all the value to zero we get,
⇒ (x+9) =0 , (x-5) =0 , (x+7) =0
⇒ x = -9 , 5, -7
For x= -9 , 5, -7 polynomial function f(x) =(x+9)(x-5)(x+7) value is equal to zero.
Therefore, for the given polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.
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What is the solution, if any, to the inequality 3-|4-n| >1
A. no solution
B. all real numbers
C. n > 2 or n < 6
D. 2 < n < 6
The solution of given inequality 3-|4-n| >1 is 2<n<6.So option D is correct.
An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
The given inequality is 3 - |4-n| > 1
Since |4-n| is the absolute value
Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
So ( 4-n ) may be negative or positive.
For positive value of ( 4-n )
3-( 4-n ) > 1
3-4+n>1
n>2
For negative value of (4-x)
3+( 4-n )>1
3 + 4-n >1
7 - n > 1
-n> 1 -7
-n > -6
n < 6
Hence, 2 < n < 6 i.e. option D is the solution to the inequality 3-|4-n| >1.
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Answer: d
Step-by-step explanation:
1. El rectángulo A mide 12 cm por 3 cm. El Rectángulo B es una copia a escala del Rectángulo A. Seleccione todos los pares de medidas que podrían tener las dimensiones del Rectángulo B.
A. 6 cm por 1,5 cm
B. 10 cm por 2 cm
C. 13 cm por 4 cm
D. 18 cm por 4,5 cm
E. 80 cm por 20 cm
2. El rectángulo A tiene 12 de largo y 8 de ancho. El rectángulo B tiene 15 de largo y 10 de ancho. El rectángulo C tiene 30 de largo y 15 de ancho.
una. ¿Es el Rectángulo A una copia a escala del Rectángulo B? Si es así, ¿cuál es el factor de escala?
b. ¿Es el Rectángulo B una copia a escala del Rectángulo A? Si es así, ¿cuál es el factor de escala?
C. Explica cómo sabes que el Rectángulo C no es una copia a escala del Rectángulo B.
d. ¿Es el Rectángulo A una copia a escala del Rectángulo C? Si es así, ¿cuál es el factor de escala?
1. The pairs of measurements that could have the dimensions of Rectangle B include:
A. 6cm by 1.5cm
D. 18cm by 4.5cm
E. 80cm by 20cm
2. Rectangle A is a scaled copy of rectangle B as the scale factor is 3:2.
Rectangle C isn't a scales factor of rectangle B since they have different ratio.
How to illustrate the information?1. It should be noted that from the information, Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A.
Therefore, it should be noted that the ratio will be:
= 12 / 3
= 4 / 1
= 4:1
Therefore, the values that will give same ratio will be:
6cm by 1.5cm = 6/1.5 = 4:1
18cm by 4.5cm = 18/4.5 = 4:1
80cm by 20cm = 80/20 = 4:1
In conclusion, the correct options are A, D, and E.
2. Rectangle A is 12 long and 8 wide. The ratio will be:
= 12/8 = 3/2 = 3:2.
Rectangle B is 15 long and 10 wide. The ratio will be:
= 15/10 = 3/2 = 3:2
Rectangle C is 30 long and 15 wide. The ratio will be:
= 30/15 = 2:1
Therefore, rectangle A and B have same scale.
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Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all pairs of measurements that could have the dimensions of Rectangle B.
A. 6cm by 1.5cm
B. 10cm by 2cm
C. 13cm by 4cm
D. 18cm by 4.5cm
E. 80cm by 20cm
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $2000 and the standard deviation is $75.
The approximate percentage of buyers who paid between $1925 and $2075 is; 68%
The approximate percentage of buyers who paid between $1925 and $2000 is; 34%
How to Interpret Normal Distribution Graph?We are given;
Mean = $2000
Standard Deviation = $75
1) We want to find the approximate percentage of buyers who paid between $1925 and $2075
The formula that is used to calculate the z-score of a a normal distribution is;
z = (x' - μ)/σ
where;
z is z-score
x' is sample mean
μ is population mean
σ is standard deviation
For a payment of 1925;
z = (1925 - 2000)/75 = -1
For a payment of2075;
z = (1925 - 2000)/75 = 1
Thus, this is 1 standard deviation from the mean.
Thus, this is a percentage of 68%
2) We want to find the approximate percentage of buyers who paid between $1925 and $2000?
For a payment of 1925;
z = (1925 - 2000)/75 = -1
For a payment of 2000;
z = (2000 - 2000)/75 = 0
This translates to a percentage of (1/2) * 68% = 34%
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Missing options are;
1) What is the approximate percentage of buyers who paid between $1925 and $2075?
2) What is the approximate percentage of buyers who paid between $1925 and $2000?
Write - 3 1/4 - 8 1/8 as an addition problem.
Answer:
I don't understand what you mean
The vertices of a triangle are as follows:
(4, 4), (6, 7), and (8, 0)
If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle?
hurry plsss
The vertices after dilation are (12, 12), (18, 21), and (24, 0)
How to determine the vertices of the new triangle?The vertices of the triangle are given as
(4, 4), (6, 7), and (8, 0)
The scale factor of dilation is given as 3
This means that
k = 3
The vertices of the new triangle are calculated as
Vertices = scale factor * Old vertices
So, we have
[(4, 4), (6, 7), and (8, 0)] * 3
Evaluate
(12, 12), (18, 21), and (24, 0)
Hence, the vertices of the new triangle are (12, 12), (18, 21), and (24, 0)
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need help with this question
Help me !!!!!!!!! I need this for today
Answer:
Step-by-step explanation:
AC= E
AC= CD
BC= EE
Please write the problems I cant see them well
Helpppppppppppppppppppp!!!!
Given:
Diagram is given.
Measure of X and Y forms a linear pair of supplementary.
[tex]m\angle X+m\angle Y=180\degree[/tex]A store sells two sizes of fresh wreaths. An 18-inch wreath costs $20, and a 22-inch wreath costs $30. In one day, the number of 22-inch wreaths sold was four more than five times the number of 18-inch wreaths, for a total of $1310. How many of each were sold?
On the axes below,sketch two full cycles of your chosen riders Ferris wheel. Adrianes Ferris wheel goes from 10 feet above the ground to a maximum height of 210 feet and completes one revolution every 90 seconds.
ANSWER
EXPLANATION
First, we have to draw horizontal lines at the minimum and maximum heights. These are 10 feet and 210 feet, respectively.
Then, we calculate the midline,
[tex]y_m=\frac{210ft+10ft}{2}=\frac{220ft}{2}=110ft[/tex]And we have to draw this line too.
As mentioned, the period is the time it takes to do one revolution, which this wheel makes in 90 seconds. Thus, the period is 90 seconds and the first cycle starts at t = 0 and ends at t = 90 s,
Then, we know that the graph is sinusoidal, so we have to draw the first cycle - note that if the period is 90 s, the graph must intersect the midline at 45 seconds,
And finally, draw another cycle just like the first one.
a pole that is 3.3 m tall casts a shadow that is 1.48 m long. At the same time, a nearby tower casts a shadow that is 36.75 m long How tall is the tower
By using trigonometric relations for right triangles, we will see that the height of the tower is 81.92 meters.
How can we find the height of the tower?
First, we know that a pole with a height of 3.3m casts a shadow of 1.48m. We can see the height of the pole and the length of the shadow as the legs of a right triangle, with that, we can get the angle at which the sun hits the pole (this angle is such that the height will be the adjacent cathetus).
Using the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
We can get:
a = Atan( (opposite cathetus)/(adjacent cathetus))
With taht we can find the angle, where:
opposite cathetus = 1.48m
adjacent cathetus) = 3.3m
Then:
a = Atan(1.48/3.3) = 24.16°
For the tower that angle will be the same one, and again, the height is the adjacent cathetus and the shadow the opposite cathetus, so we can write the same equation than before:
tan(24.16°) = shadow/height.
Solving that for the height we get:
height = shadow/tan(24.16°) = 36.75m/tan(24.16°) = 81.92m
The height of the tower is 81.92 meters.
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United States Postal Service handled 7.2 x 10¹0 mails in the year 1965. They handled 1.8 x 10¹¹ mails in
the year 1995. How many more pieces of mail were handled by the United States Postal Service in
1995 than in 1965?
4.0 x 10¹
4.0 x 1010
O 5.4 x 10¹0
O 1.08 x 10¹¹
The number of mail were handled by the United States Postal Service in 1995 than in 1965 is 0.4.
Given that, United States Postal Service handled [tex]7.2 \times 10^{10}[/tex] mails in the year 1965. They handled [tex]1.8 \times 10^{11}[/tex] mails in the year 1995.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].
Number of mail were handled by the United States Postal Service in
1995 than in 1965 = Number of Postal Service handled mails in the year 1965 ÷ Number of Postal Service handled mails in the year 1995
= [tex]\frac{7.2 \times 10^{10}}{1.8 \times 10^{11}}[/tex]
= 4 × [tex]10^{-1}[/tex]
= 0.4
Therefore, the number of mail were handled by the United States Postal Service in 1995 than in 1965 is 0.4.
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A landlord charged $865 per month to rent an apartment in 2010. The rent increased
at a constant rate and reached $1065 per month in 2018.
a. Write a linear model that represents the monthly rent as a function of the number
of years since 2010.
b. Use the model to estimate the monthly rent in 2021.
Answer:
y = 25x + 865
so the monthly rent in 2021 is 1,140
do you need an explanation or is this fine?
solve for x 7x^2+49=0
Answer:
[tex]7 {x}^{2} + 49 = 0 \\ 7( {x}^{2} + 7) = 0 \\ \frac{7( ({x}^{2} + 7) }{7} = \frac{0}{7} \\ {x}^{2} + 7 = 0 \\ {x}^{2} = - 7[/tex]
NOTE THERE IS NO SOLUTION FOR THE GIVEN EQUATION SINCE THE SQUARE OF ANY NUMBER CANNOT GIVE A NEGATIVE NUMBER.
THE SQUARE OF ANY NUMBER WHETHER IT'S POSITIVE OR NEGATIVE ALWAYS GIVES A POSITIVE NUMBER.
GOODLUCK!!
what is the density of a cube if the mass is 24g
W=2cm
H=2cm
L=2cm
Determine whether each of these sets is countable or uncountable.
(a) all bit strings that is finite.
(b) all bit strings that is infinite
(c) the real numbers containing a finite number of 1s in their decimal
representation (reminder: the real numbers can contain a infinite
number of 2s or 3s)
(d) the real numbers containing only 1s in their decimal representation