The amount of gasoline at a gas station change from 58432.4 gallons to 56495.2 gallons from 2 o'clock p.m. to 4 o'clock p.m. what rational number represents the average change in amount of gasoline per hour
Answers
Answer:
thanks 4 the points
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Related Questions
Suppose that 15000 is invested at 4.2% compounded . Find the total amount of this investment after 6 years.
Answers
To find the total amount of the investment after 6 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the total amount after 6 years
P = the principal amount (the initial investment), which is 15000 in this case
r = the annual interest rate, which is 4.2% expressed as a decimal (0.042)
n = the number of times the interest is compounded per year, which is usually 12 for monthly compounding, 4 for quarterly compounding, and 1 for annual compounding
t = the number of years, which is 6 in this case
Plugging in the values, we get:
A = 15000(1 + 0.042/1)^(1*6)
A = 15000(1.042)^6
A = 15000(1.284)
A = 19260
Therefore, the total amount of the investment after 6 years is $19,260.
HELP!! this is due today by the way.
Answers
√38 I’m not sure how to solve these kinds of equations
Answers
Answer:
√38
Step-by-step explanation:
√38
step 1: Check which squared numbers can be multiplied by another number to get 38.
Start with these numbers: 4, 9, 16, and 25
Step 2: Testing out the numbers
√25 × __ = 25 can't be divided by 38
√16 × ___ = 16 can't be divided by 38
√9 × ____ = 9 can't be divided by 38
√4 × ____= 4 can't be divided by 38
Step 3: Answer
After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38
I hope this helps!
1
Determine the period of the function y =
3 sin(2x).
2.
C.
-3л
a.
b.
27
d.
Please select the best answer from the choices provided
Answers
gina wilson unit 10 homework 1
Answers
The area and circumference of the circles are presented as follows;
2. Area ≈ 153.94 cm²
Circumference ≈ 43.98 cm
3. Area ≈ 706.86 ft²
Circumference ≈ 94.25 ft
4. Area ≈ 326.85 in²
Circumference ≈ 32.04 in
5. Area ≈ 63.62 mm²
Circumference ≈ 28.27 mm
6. Area ≈ 1134.11 ft²
Circumference ≈ 119.38 ft
What is the area of a plane figure?The area of a plane figure is the two dimensional area which the plane figure covers.
The formula for the area of a circle, A is; A = π × The square of the radius of the circle
A = π·r²
Where;
r = The length of the radius of the circle
Similarly, A = π·D²/4
Where;
D = The diameter of the circle = 2 × The length of the radius
The circumference of a circle of radius, r, is; C = 2·π·r
The circumference of a circle based on a diameter is; C = π·D
2. The radius of the circle, r = 7 meters
The area of the circle, A = π × (7 m)² = 49·π cm² ≈ 153.94 cm²
The circumference of the circle is; C = 2 × π × 7 m = 14·π m ≈ 43.98 m
3. The diameter of the circle, D = 30 feet
Radius = Diameter/2
Therefore;
The radius of the circle, r = (30 ft)/2 = 15 ft
The area of the circle, A = π × (15 ft)² = 225·π ft² ≈ 706.86 ft²
The circumference of the circle is; C = 2 × π × 15 ft = 30·π ft ≈ 94.25 ft
4. The radius of the circle is r = 10.2 inches
The area of the circle, A = π × (10.2 in)² = 104.04·π in² ≈ 326.85 in²
The circumference of the circle is; C = 2 × π × 10.2 in = 20.4·π in ≈ 32.04 in
5. The diameter of the circle is; D = 9 mm
The area of the circle, A = π × (9 mm)²/4 = 20.25·π mm² ≈ 63.62 mm²
The circumference of the circle is; C = π × 9 mm = 9·π mm ≈ 28.27 mm²
6. The radius of circle A = Radius of circle B - 3 feet
The sum of the diameters of both circles = 49 feet
Let d represent the diameter of circle B, we get;
Radius of circle A = 2·d - 3
The diameter of circle A = 2 × (2·d - 3) = 4·d - 6
The diameter of circle B = d
The sum of the diameters of both circles is therefore;
4·d - 6 + d = 49
5·d = 49 + 6 = 55
d = 55/5 = 11
The diameter of circle B, d = 11 feet
The radius of circle A = 2·d - 3
Therefore, the radius of circle A, = 2 × 11 - 3 = 19
Area of circle A = π× (19 ft)² = 361·π ft² ≈ 1134.11 ft²The circumference of circle A = 2 × π × 19 ft = 38·π ft ≈ 119.38 ftLearn more on the area of a circle here: https://brainly.com/question/16891121
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Given y=4x+2, find the domain value if the range value is 4
Answers
4-2=4x+2-2
2=4x
Divided both sides by 4
X=1\2
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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A clothes shop has a sale
In the sale, normal prices are reduced by 12 percent
The pprice of a coat is reduced by £9 in the sale.
Work out the normal price of the coat
Answers
If the normal price is x and the normal price is reduced by 12%
0.12x = 9 ⇒ x = 75
The normal price of the coat was £75 in the clothes shop.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
A clothing store is having a sale. Normal prices are discounted by 12% during the sale. In the sale, the price of a coat is decreased by £9.
We have to determine the normal price of the coat.
Let the normal price of the coat would be £x
We have to evaluate 12% of x = 9
So, 12% of x = 9
12% is expressed as 12/100 in fractional form
⇒ (12/100)(x) = 9
12/100 is expressed as 0.12 in decimal form
⇒ (0.12)(x) = 9
⇒ x = 9/0.12
Apply the division operation, and we get
⇒ 75
Thus, the normal price of the coat was £75.
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Dylan and Julia are each making lemonade for a competition at the Sun City Citrus Festival. Both of their recipes call for the same amount of lemon juice, but Julia's recipe calls for more water than Dylan's recipe. Whose lemonade will have a stronger lemon flavor?
Answers
Answer:
Dylan's Lemonade will have a stronger flavor
Step-by-step explanation:
Find the vertex.
f(x) = 6(x + 5)2-10
Answers
Answer:
Vertex: (-5, -10)
Step-by-step explanation:
Parent graph: f(x) = a(bx - c)ⁿ + d
a = vertical shrink/stretch
b = horizontal shrink/stretch
c = horizontal movement left/right
d = vertical movement up/down
(c, d) is vertex
Step 1: Define function
f(x) = 6(x + 5)² - 10
Step 2: Define transformation
a = 6, Vertical stretch of 6
b = 1, No horizontal transformation
c = -5, move left 5 units.
d = -10, move down 5 units.
(-5, -10), vertex
s is inversely proportional to t . When s = 0.9 , t = 2 Work out t when s = 30
Answers
Hope you will understand
Answer:
Step-by-step explanation:
we can assume that s=k/t,k is unknown constants,0.9=k/2 >> k=1.8,so
30=1.8/t >> t=0,06
Find the domain of the function.
f(x)=9x+7
Answers
5. Mrs. Hoskins is going to plant her new
gorden. She purchases 4 tomato plants for
$2.59 each, a package of watermelon seeds
for $1.87, and adapeno plant for $3.88. How
much will Mrs. Hoskins spend on seeds and
plants for her new garden?
Answers
The solution is $ 16.11
The total amount of money spend by Mrs.Hopkins on seeds and plants is given by the equation A = $ 16.11
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the cost of each tomato plant be = $ 2.59
The number of tomato plant = 4
The cost of 4 tomato plant = 4 x 2.59
The cost of 4 tomato plant = $ 10.36
Now ,
The cost of watermelon seeds = $ 1.87
The cost of adapeno plant = $ 3.88
So , the equation will be
The total amount of money A = cost of 4 tomato plant + cost of watermelon seeds + cost of adapeno plant
Substituting the values in the equation , we get
The total amount of money A = 10.36 + 1.87 + 3.88
The total amount of money A = $ 16.11
Therefore , the value of A is $ 16.11
Hence , the total amount of money is $ 16.11
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Hello please help willl give brainliest!
Answers
Answer:
It will take Wilson 50 minutes to paint this bookcase.
Step-by-step explanation:
40%=20 minutes
10%=5 minutes
100%=50 minutes
Hope this helped! :)
how many fourths in 1/4
Answers
Answer:
1
Step-by-step explanation:
a fourth is 1/4 meaning Fourth = 1/4
In ΔGHI, \overline{GI} GI is extended through point I to point J, \text{m}\angle GHI = (3x+13)^{\circ}m∠GHI=(3x+13) ∘ , \text{m}\angle IGH = (x+8)^{\circ}m∠IGH=(x+8) ∘ , and \text{m}\angle HIJ = (6x-5)^{\circ}m∠HIJ=(6x−5) ∘ . Find \text{m}\angle GHI.m∠GHI.
Answers
Given:
In ΔGHI, GI is extended through point I to point J.
\(m\angle GHI=(3x+13)^\circ,m\angle IGH=(x+8)^\circ,m\angle HIJ=(6x-5)^\circ\)
To find:
The measure of angle GHI.
Step-by-step explanation:
According to exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measure of two opposite angles.
Using exterior angle theorem, we get
\(m\angle HIJ= m\angle GHI+m\angle IGH\)
\((6x-5)^\circ=(3x+13)^\circ+(x+8)^\circ\)
\((6x-5)^\circ=(4x+21)^\circ\)
\(6x-4x=21+5\)
\(2x=26\)
Divide both sides by 2.
\(x=13\)
Now,
\(m\angle GHI=(3x+13)^\circ\)
\(m\angle GHI=(3(13)+13)^\circ\)
\(m\angle GHI=(39+13)^\circ\)
\(m\angle GHI=52^\circ\)
Therefore, the measure of angle GHI is 52 degrees.
are these ratios equivalent 35 forks to 45 7 forks to 9 spoons yes or no
Answers
Answer:
Yes
Step-by-step explanation:
35:45 is the same as 7:9 because if you divide both side by 5, 35:45 goes to 7:9
Iconic memory is a type of memory that holds visual information for about half a second (0.5 seconds). To demonstrate this type of
memory, participants were shown three rows f four letters for 50 milliseconds. They were then asked to recall as many letters as possible,
with a 0., 0.5-, or 1.0-second delay before responding. Researchers hypothesized that longer delays would result in poorer recall. The
number of letters correctly recalled is given in the table.
Delay Before Recall
0 0.5 1
6
2
8
11
4
5
11
10
2
6
4
10
8
8
5
4
9
1
(a) Complete the F-table. (Round your values for MS and Fto two decimal places.)
SS
df
MS
Source of Variation
Between groups
Within groups (error)
15
Total
17
(b) Compute Tukey's HSD post hoc test and interpret the results. (Assume alpha equal to 0.05. Round your answer to two decimal
places.)
The critical value is 4 X for each pairwise comparison
Answers
Answer:
e
Step-by-step explanation:
Group the terms with variables on one side of the equal sign, and simplify.
5z + 3 = 36z
Answers
Answer:
z = 3/31
Step-by-step explanation:
5z + 3 = 36z
subtract 5z on both sides
3 = 31z
divide by 31 on both sides
z = 3/31
Please help
In 45 years, Gabriela will be 4 times as old as she is right now.
How old is she right now?
Answers
Answer:
15 yr
Step-by-step explanation:
x- how old she is now
4(x)= x+45
3x=45
x=15
if my answer helps please mark as brainliest.
Answer:
;---;
Step-by-step explanation:
when you represent a three-dimensional object graphi- cally in the plane (on paper, the blackboard, or a com- puter screen), you have to transform spatial coordinates,
Answers
The simplest choice is a linear transformation, for example, the one given by the
matrix \(\left[\begin{array}{ccc}-1/2&1&0\\-1/2&0&1\end{array}\right]\)
What is spatial coordinates and plane coordinates?When compared to pixel coordinates, spatial coordinates provide for a finer level of image position specification. The pixel coordinate system, for example, treats a pixel as a discrete unit that is uniquely recognized by an integer row and column pair, such as (3,4). The pixel coordinates are the default way that spatial coordinates of a picture are related. In row 5, column 3, for instance, the center of the pixel has spatial coordinates of x = 3 and y = 5, for example. The coordinates are inverted, so keep that in mind.When you represent a three-dimensional object graphically in the plane con paper, the blackboard, or a computer screen), you have to transform spatial coordinates,
\($\mathrm{x} 1$ & \\\)
\($\mathrm{x} 2$\) & into plane coordinates
\($\mathrm{x} 3$\)& \($\mathrm{y} 1$\)& \($\mid$ \\\)
\($\mathrm{x}$\) &\($\mathrm{y} 2$\) &
The simplest choice is a linear transformation, for example, the one given by the
matrix \(\left[\begin{array}{ccc}-1/2&1&0\\-1/2&0&1\end{array}\right]\)
The complete question is,
When you represent a three-dimensional object graphically in the plane (on paper, the blackboard, or a computer screen), you have to transform spatial coordinates | x 1 | | x 2 | into plane coordinates | y 1 |. | x 3 | | y 2 | The simplest choice is a linear transformation, for example, the one given by the matrix | -1/2 1 0 0 | 1 |.
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PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTEd
Answers
a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make
Answers
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.
Here,
The quantity of punch produced by the recipe is:
If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.
=> 6 pints = 8 * 3/4.
The formula yields 6 quarts of punch as a result.
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
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help me please I need the answer
Answers
Answer:
141
Step-by-step explanation:
162+54-75=141
The graph of the function rule that models the volume of the sphere has symmetry with respect to ____?
Answers
The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.
Explain the term symmetry along origin?About the Origin: Symmetry. If a point appears on a graph at every time, then the graph is symmetric having respect to the origin. When seen in relation to the origin, this graph is symmetric.A function having a single term which is the sum of a real number, the coefficient, as well as a variable raised to something like a fixed real number is called a power function. (A coefficient is a number which multiplies a variable by an exponent.) Think of equations like area or volume as an illustration.For the stated question.
The volume of the sphere is modeled by the power function with respect to the radius as;
V = f(r) = 4/3πr³
As, r is independent of any of the coordinate axis.
Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.
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Name three points collinear points on plane P.
Answers
Answer:
ABC
Step-by-step explanation:
Think of a plane as a piece of paper that went on forever in all directions. Which points would be on the paper? Three examples would be points A, B and C.
A bank deposit paying simple interest at the rate of 8%/year grew to a sum of $1300 in 6 months. Find the principal. (Round your answer to the nearest cent.)
Answers
Answer:
$1,250
Step-by-step explanation:
The rate is 8%
= 8/100
= 0.08
Time is 6 months
= 1/2 year
Therefore the principal can be calculated as follows
Principal × (1+0.08(1/2) = 1300
Principal × 1+ 0.04 = 1300
Principal × 1.04= 1300
Principal= 1300/1.04
Principal = $1,250
Hence the principal is $1,250
On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval
Answers
Answer:
Option c (I cannot........Florida) is the appropriate response.
Step-by-step explanation:
The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.
Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.The other three given alternatives aren't related to the question. Thus option c is the correct one.
Paulas cat weighs 8 5/8 pounds. Calebs cat weighs 11 1/8 pounds. What is the total weight of both cats?
Answers
Answer:
19 6/8 or 19 3/4
I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.
Looking at the table above ,
A. What would you consider as the independent variable in this situation ? Introduce the symbol/ name (x,t,...) you will use to represent this variable . Remember to include the units.
B. What is the dependent variable ? Introduce the symbol /name for this variable . Remember the units .
Answers
The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.
The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.
The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.
An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.
In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
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Find the missing length for the pair of similar figures
Answers
Answer:
Bb
Step-by-step explanation:
Answer:
B. 4.5 mStep-by-step explanation:
Corresponding sides have same ratio:
4/9 = 2/aa = 2*9/4a = 4.5 mCorrect option is B