Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.49 and increases $0.09, what is the price of gasoline after the increase?
Answer:
$3.58
Step-by-step explanation:
Since the cost is increasing, you need to add the two values together.
$3.49 + $0.09 = $3.58
The price of gasoline after the increase is $3.58.
I actually have no clue how to solve this please help me.
A Doctor's office is deciding between buying 2 different sized cups. the 2 cups are shown. Before deciding which size cup to buy, they determine how much water each size cup can hold. How much More water (in cubic inches) can the larger cup hold than the smaller cup.
*Round your answer to the nearest hundredth, and use 3.14 for PI in your calculations*
The larger cup can hold 144.51 in³ more water than the smaller cup.
How to obtain the volume of a cone?The volume of a cone of radius r and height h is given by one third of the multiplication of pi = 3.14 by the radius squared by the height, hence:
V = 3.14r²h/3
V = 1.0472r²h.
For the smaller cup, the dimensions are r = 2 in and h = 3 in, hence the volume is given as follows:
V = 1.0472 x 2² x 3
V = 12.57 in³.
For the larger cup, the dimensions are r = 5 in and h = 6 in, hence the volume is given as follows:
V = 1.0472 x 5² x 6
V = 157.08 in³.
Then the difference is of:
157.08 - 12.57 = 144.51 in³.
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Which of the following is equivalent to sec x ?
A)adj/opposte
B)hypotenuse/adjacent
C)hypotenuse/opposite
4(5x – 9) = -2(x + 7) solve and justify each step
Step-by-step explanation:
4(5x-9)=-2(x+7)
4*5x-4*9=-2*x-2*7
20x-36=-2x-14
20x+2x=-14+36
22x=22
x=22/22
x=1
d(1) = 3
d(n) = 2 x d(n − 1)
Step-by-step explanation:
Please help!!
A $15,000 deposit with a 4% interest rate compounded semi-annually for 10 years.
Answer: The total amount after 10 years is $19,945.76.
Step-by-step explanation:
Formula:
A = P(1+r/n)nt
Calculation:
A = $15,000(1+4/2)2×10
A = $15,000(1.02)20
A = $15,000(1.4242)
A = $21,363.00
what ratio is commonly used as an alternative to 3.14?
Answer:
it is typically 22 to 7
Step-by-step explanation:
if you divide 22 by 7 you get 3.142857143...
Answer:
22/7
Step-by-step explanation:
You want to know a ratio commonly used as an alternative to 3.14 for an approximation to pi.
ApproximationsThe value 3.14 as an approximation of pi is obtained by simply truncating the value to 2 decimal places. That makes the approximation lower than the actual value by about 0.0507%.
Rational approximations can be found from the expression of pi as a continued fraction. Truncating that fraction at various points gives the approximations ...
22/7 . . . . high by about 0.0402%
333/106 . . . . low by about 0.0026%
355/113 . . . . . high by about 0.0000085%
22/7 is the most commonly used rational approximation of pi instead of 3.14.
__
Additional comment
The continued fraction is non-repeating. It starts ...
\(3+\cfrac{1}{7+\cfrac{1}{15+\cfrac{1}{1+\cfrac{1}{292+\cfrac{1}{1+\dots}}}}}\)
Which expression(s) is/are equivalent to 8-2(5x-3). Explain or show work to justify your decision.
Answer:
B AND E (8-10x+6 & -10x+14)
Step-by-step explanation:
hope this helps !!!!!!!
Write an
expression for the product
(15)(√21) without a perfect square
factor in the radicand.
An expression for the product √15x * √21x³ without a perfect square
factor in the radicand is: 3x²√35
How simplify the square root of a number?The number or expression written under a root symbol or radical sign is known as a radicand in math. It is an expression of which we are taking a root.
A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square
√15x * √21x³
The product of roots with the same index is equal to the root, so
√(15x * 21x³)
Calculate the sum inside the radical
√315x⁴
Then, you can simplify the radical expression and move the variable + exponent to get:
3x²√35
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Complete question is:
Write an expression for the product √(15x) * √(√21x³) without a perfect square factor in the radicand.
10) You and your friends order a meal for $116.29. How much
tip should you leave if you want to leave a 12% tip?
11) Originally priced at $19.59, a video game was found on a
62% off rack. What is the sale price of the video game?
12) A CD is marked with a sale sticker saying it is 56% off. The
original price is $10.17. What is the sale price?
Work out the area of this semicircle. Take pi to be 3.142 and give your answer to 2 decimal places.
The area of the semicircle is 39.275 square cm
How to determine the area of the semicircle?From the question, we have the following parameters that can be used in our computation:
Diameter = 10 cm
Start by calculating the radius of the semicircle
So, we have the following representation
radius = Diameter/2
This gives
radius = 10/2
Evaluate
radius = 5
The area of the semicircle is then calculated as
Area = πr²/2
So, we have
Area = 3.142 * 5²/2
Evaluate
Area = 39.275
Hence, the area is 39.275 square cm
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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months. Month 2 3 4 5 Sales 924 91
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.
One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.
In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.
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is this true or false? square root of n less or equal than log subscript 2 open parentheses n cubed close parentheses space space f o r space a l l space n space greater or equal than 4 true false
For all n that is higher than or equal to 4, this statement is true.
By taking the cubes of both sides of the inequality, we can demonstrate this.
log2(n3) = \(3\sqrt{n}\)
n^(3/2) <= 3 * log2(n) (n)
Since log2(n) > 2 for n >= 4, we can write:
3 * 2 * (log2(n)) = 3 * n where n(3/2) = 3 * log2(n)
This suggests that:
\(\sqrt{n} =( \frac{3}{n{log 2}} + n) (n)\)
We come to the conclusion that the square root of n will eventually be less than or equal to log2(n3) for all n higher than or equal to 4 since the right-hand side of this inequality approaches zero as n goes to infinity. The assertion is accurate as a result.
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The function f(t)=16t2 represents the distance (in feet) a dropped object falls in t seconds. the function g(t)=s0 represents the initial height (in feet) of the object. a penny is dropped off of a building at a height of 256 feet. after how many seconds does the penny hit the ground?
The coin purse hit the ground in 3 seconds.
Given :
\($\mathrm{f}(\mathrm{t})=16 \mathrm{t}^2$\) ----- (represent the distance(in feet) a dropped object falls in t seconds)
\($\mathrm{g}(\mathrm{t})=\mathrm{s}_0=144 \mathrm{ft}$\) ------ (represent the initial height (in feet) of the coin purse)
The function that represents the distance a dropped coin purse falls in t seconds,
\($f(t)=144-16 t^2$\)
When the coin purse touches the ground,
\($f(t)=0$\)
\($0=144-16 t^2$\)
\($t^2=\frac{144}{16}=9$\)
t = +3 and t = -3
So we take positive t.
Therefore, the coin purse hit the ground in 3 seconds.
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Cindy can waterproof 400 ft2 of decking with 2 gallons of sealant. How many gallons should Florence buy for a 1200 ft2 deck?
Group of answer choices
Florence should buy 6 gallons of sealant for 1200 ft² of decking.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, 400 ft² of decking requires 2 gallons of sealant.
400 ft² = 2 gallons
400 ×3 ft² = 2 × 3 gallons
1200 ft² = 6 gallons
Hence, Florence should buy 6 gallons of sealant for 1200 ft² of decking.
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What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
what is the sum of the measures of the exterior angles of a triangle. if necessary round to the nearest tenth
The sum of the measures of the exterior angles of any polygon, including a triangle, is always 360 degrees.
We have,
An exterior angle of a polygon is formed by extending one of its sides outward.
In the case of a triangle, when we extend each side, we create three exterior angles.
These exterior angles are located outside the triangle.
The key concept to understand is that the sum of the exterior angles of any polygon is always 360 degrees.
This property holds true for all polygons, regardless of their shape or size.
To visualize this, imagine starting at any vertex of a triangle and moving along its sides while measuring the exterior angles.
As you move around the triangle, the sum of the exterior angles will always add up to 360 degrees.
This is because, at each vertex, the exterior angle supplements the interior angle to form a straight angle of 180 degrees.
In a triangle, each interior angle measures less than 180 degrees.
So, when we extend each side to create the exterior angles, they collectively compensate for the deficiency of the interior angles, resulting in a sum of 360 degrees.
Therefore,
The sum of the measures of the exterior angles of a triangle is always 360 degrees.
This principle holds true for all polygons, making it a fundamental property of geometry.
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Clark filled 130 cups for a drink station along a race route. He filled 90 cups with water and the rest with sports drink. Which is closest to the percent of the cups that were filled with sports drink?
a produce company is packaging tomatoes into boxes containing 8 tomatoes each. how many boxes do they need to package 416 tomatoes?
Answer:
5.75
Step-by-step explanation:
If
1 box = 8 tomatoes
x boxes = 46 tomatoes
1 = 8
x = 46
You cross multiply giving you
8x = 46×1
8x = 46
8x/8 = 46/8
x = 5.75
please answer ASAP. will give brainliest
Answer:
450
Step-by-step explanation:
-1 and 3 1/2 and 1.5 least to greatest
Answer: -1, 1.5, 3 1/12
Step-by-step explanation: I was tested on these type of questions
will give brainliest to quickest answer
Answer:
The vertex is option C: (-6, -2)
Step-by-step explanation:
The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)
Pls mark brainliest.
How many milliliters of a 46 % salt solution do we need to mix with
6 milliliters of a 35% salt solution so that the resulting mixture is a
43 % salt solution?
THANKS! I WILL GIVE 100 POINTS!
Answer:
Can you take a picture of the question
the conditions that the sum of forces and the sum of the torques both vanish:
Answer and Explanation: The conditions when the net force and the net torque are zero are called static equilibrium.
A triangle has a base length of 3ac² and a height 5 centimeters more than the base length. Find the area of the
triangle if a = 4 and c=5
The area of the triangle will be equal to 45750 square centimeters.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.
Given that:-
A triangle has a base length of 3ac² and a height of 5 centimeters more than the base length. Find the area of the triangle if a = 4 and c=5
Here the base will be calculated as:-
B = 3ac² = 3 x (4) x (5²) = 300
H = 3ac² + 5 = 300 + 5 = 305
The area will be calculated by the formula:-
A = \(\dfrac{1}{2}\) x B x H
A = \(\dfrac{1}{2}\) x 300 x 305
A = 45750 square centimeter.
Therefore the area of the triangle will be equal to 45750 square centimeters.
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3/4 of v subtracted from 6 times 2/9y
Answer:
Simplifying 6x * 3y * 9x2y4 Reorder the terms for easier multiplication: 6 * 3 * 9x * y * x2y4 Multiply 6 * 3 18 * 9x * y * x2y4 Multiply 18 * 9 162x * y * x2y4 Multiply x * y 162xy * x2y4 Multiply xy * x2y4 162x3y5
my friend consumed 8 donuts in one sitting. 8 donuts is .... (a) a lower bound on how many donuts he is physically capable of eating in one sitting. (b) an upper bound on how many donuts he is physically capable of eating in one sitting. (c) the exact number of donuts that he is physically capable of eating in one sitting. (d) none of the other answers is correct.
My friend consumed 8 donuts in one sitting. 8 donuts is a lower bound on how many donuts he is physically capable of eating in one sitting option A.
An element of K that is bigger than or equal to each member of S is referred to as an upper limit or majorant of a subset S of some preordered set (K, ) in mathematics, notably in order theory. In addition, each element of K that is smaller than or equal to each element of S is characterised as a lower limit or minorant of S.
A set that has an upper (or lower) bound is referred to as being majorized (or minorized), bounded from above, or minorized by that bound. In the mathematical literature, sets that have upper (or lower, respectively) limits are referred to as being bounded above (or below).
Friend consumed 8 doughnuts. So it is
lower bound on how can eat in a sitting.
Many donuts he lower bound is the lowest quantity in a set, as in our.
example, we definitely know he can eat 8 of them. We don't know how many more can be eat (upper bound) or is it exact amount be can eat.
Hence option (a) is correct.
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How many degress is angle BHA?
Answer:
90°
Step-by-step explanation:
follow the tangent rule.
the local newspaper claims the 15 percent of the residents in its community play the state lottery, if you plan to test the claim by taking a random sample from the community, the appropraite set hypothesies is
The appropriate set of hypothesis is:
Null hypothesis (H0): The proportion of residents in the community who play the state lottery is equal to 15%.
Alternate hypothesis (Ha): The proportion of residents in the community who play the state lottery is not equal to 15%.
To test the claim made by the local newspaper, you would need to set up a hypothesis. The appropriate set of hypotheses in this case would be:
Null hypothesis (H0): The proportion of residents in the community who play the state lottery is equal to 15%.
Alternate hypothesis (Ha): The proportion of residents in the community who play the state lottery is not equal to 15%.
By setting up these hypotheses, you can then collect a random sample from the community and analyze the data to determine if there is enough evidence to support the claim made by the newspaper.
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make k the subject of the formula y=
Answer:
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