it is expected that gas prices will rise to be 142% of the current amount. If the current gas price is $4 per gallon, explain how to estimate the expected price of gas.
Answers
Answer:
$5.68
Step-by-step explanation:
142% of the current price of $4 per gallon is found by multiplying these numbers:
142% × $4.00/gal = $5.68/gal
_____
Of course, you know that 142% = 142/100 = 1.42. The numbers get multiplied and the units ($/gal) get applied to the result.
Multiplication by 4 is easily done mentally by doubling twice:
4×1.42 = 2×(2×1.42) = 2×2.84 = 5.68
Related Questions
Write an equivalent expression to the problem in the picture
Answers
Answer:
An equivalent expression to the given expression is;
\(6-m=114\)Explanation:
Given the equation;
\(-\frac{1}{2}m+3=57\)we want to write an equavalent expression to the above;
let us multiply through by 2;
\(\begin{gathered} -\frac{1}{2}m+3=57 \\ -\frac{1}{2}m(2)+3(2)=57(2) \\ -m+6=114 \\ 6-m=114 \end{gathered}\)Therefore, an equivalent expression to the given expression is;
\(6-m=114\)Mary takes out a loan for $ 5 , 000 at a simple interest rate of 3.5 % to be paid back in 36 monthly installments. What is the amount of her monthly payments?
Answers
5000+175=5175/36=143.75
¿Qué porcentaje de niños prefieren la materia de español? Considera que los 9 alumnos son igual al 100 %?
Answers
Answer:
hold yo ablo espanol
Step-by-step explanation:
Square root of 10 x Square root of 5=
Answers
Answer:
5 squareroot 2
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
Step-by-step explanation:
\(\sqrt{10} \times \sqrt{5} =\sqrt{2 \times 5 } \times \sqrt{5} =(\sqrt{5})^{2} \sqrt{2} =5\sqrt{2}\)
Element x is a radioactive isotope such that every 16 years, its mass decreases by half. Given that the initial mass of a sample of element x is 530 grams, how long would it be until the mass of the sample reached 270 grams, to the nearest tenth of a year?.
Answers
Overall mass of the specimen would reach \(270\) grams after around \(20.45\) years. The solution is \(20.5\) years, rounded to the closest tenth of a year.
What does mass in mathematics mean?A physical quantity is mass. The weight of the a body serves as the unit of mass measurement. It may be measured in normal mass quantities such grams, kilograms, and pounds. The kg is indeed the standard mass measurement unit.
What is mass, for instance?A thing's mass is how much matter it has. Anything will weigh more the more matter it contains. For instance, an elephant weighs more than a mouse because it contains more stuff. The amount of matter an item contains is independent of its size.
\(m(t) = 530 * (1/2)^{(t/16)}\)
We want to find the time t when the mass of the sample is \(270\) grams. So we can set up the following equation:
\(270 = 530 * (1/2)^{ (t/16)}\)
Dividing both sides by \(530\), we get:
\((1/2)^{ (t/16)} = 0.5094\)
Taking the natural logarithm of both sides, we get:
\(ln((1/2)^{(t/16)} ) = ln(0.5094)\)
Using the power rule of logarithms, we can simplify the left side:
\((t/16) * ln(1/2) = ln(0.5094)\)
Dividing both sides by \(ln(1/2)\), we get:
\(t/16 = ln(0.5094) / ln(1/2)\)
Using a calculator to evaluate the right side, we get:
\(t/16 ≈ 1.278\)
Multiplying both sides by \(16\), we get:
\(t = 20.45\)
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what is the value of x in the figure?
Answers
Answer:
x = 9
Step-by-step explanation:
We know that the angles are equal.
105 = 12x - 3
108 = 12x
9 = x
x = 9
Answer:
12x-3=105 vertically opposite angle
12x=105+3
x=108/12=9 is your answer
What is the y-intercept of the line y equals 3/4x +2?
Answers
the value of y is directly proportional to the value of x. if y =35 when x=140, what is the value y when x=70
Answers
Answer:
17.5
Step-by-step explanation:
35÷y = 140 ÷ 70
or, 35 = 2y
or, y= 17.5
Point E is added to the given figure so that point E lies on segment BD exactly halfway between points B and D. Which statement correctly compares the angle measures?
Answers
Answer:
there is no picture but m∠EBD = m∠EBD would be one of the best one as a guess to what the photo might be
Step-by-step explanation:
Point E is added to the given figure so that point E lies on segment BD and it is exactly halfway between points B and D
This graph shows the number of miles a freight train travels over a period of time.
Freight Train Travel Rate
What is the slope of the line?
Use the number pad to enter your answer in the box
Answers
For example, if the train traveled 120 miles in 2 hours, the slope would be:
120/2= 60miles per hour
The slope would be the speed because speed is distance / time
f(n)
{n/2 if n is even
{3n+1 if n is odd
Answers
Answer: N → N/2 ( if N is even) N → 3N + 1 (if N is odd) i.e. If N is even, divide it by 2 to get N/2. If N is odd, multiply it by 3 and add 1 to obtain 3N + 1. It is conjectured but not yet proven that no matter which positive integer we start with; we always end up with 1
Answer:
Isn't this the Collatz Conjunction
Step-by-step explanation:
Please answer as soon as possible. Answers appreciated.
Answers
Answer:\((-1.412,-2.124),(3.29,7.28)\)
Step-by-step explanation:
Given
The given equation is \(2^x-2.5=2x+0.7\)
There are two functions i.e. \(y=2^x-2.5\ \text{and}\ y=2x+0.7\)
Their intersection gives the solution of the above function
From the graph, we can see that both the graph intersects at two different points i.e. at
\((-1.412,-2.124)\ \text{and}\ (3.29,7.28)\)
The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
Answers
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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Find the approximate slope of the line that contains the points (5.1, -2.8) and (6.4,-1.2). State whether the line is increasing, decreasing, horizontal, or vertical.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is (fill in the blank)
B The slope is undefined
Is the line increasing, decreasing, horizontal, or vertical?
Horizontal
Increasing
Decreasing
Vertical
Answers
Answer:
slope = 16/13, increasing
Step-by-step explanation:
solve for the slope
-1.2-(-2.8)/(6.4-5.1)
= 16/13
it's positive meaning it's increasing
5r^2-13r-6=0
How do I solve this
Answers
\(5 {r}^{2} - 13r - 6 = 0 \\ a = 5 \\ b = - 13 \\ c = - 16 \\\)
r= -(-13)±>
\( \sqrt{( - 13) {}^{2} } - 4.5( - 6)\)
2.5
r= 13±17
10
r=13+17
10
r=13-17
10
\(r = 2 \\ r = \frac{ - 2}{5} \)
\(this \: the \: answer \: your \: question \\ \\ mark \: me \: as \: a \: brainlist \: plz\)
Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who take the test is 10%. If pregnancy tests give a positive result in 99% of the cases where the woman is pregnant and give a negative result in 98% of the cases in which she is not pregnant, what is the probability that a woman who gets a positive test result is truly pregnant
Answers
Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.\(P(A \cap B)\) is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Positive test result.Event B: Pregnant.The probability of a positive test result is composed by:
99% of 10%(truly pregnant).2% of 90%(not pregnant).Hence:
\(P(A) = 0.99(0.1) + 0.02(0.9) = 0.117\)
The probability of both a positive test result and pregnancy is:
\(P(A \cap B) = 0.99(0.1)\)
Hence, the conditional probability is:
\(P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462\)
0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
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Could someone please help me with this equation, thank you.
-8 + x/5 = 12
Answers
Answer:
x = 100
Step-by-step explanation:
1. To get rid of the denominator of 5, multiply both sides of the equation to get 5
-40 + x = 60
2. Add 40 on both sides to get the variable x by itself
x = 60 + 40
3. Solve
x = 100
Answer:
x=100
Step-by-step explanation:
-8+x/5=12
--8+x/5=12+8
x/5=20
5*20=100
x=100
The volume of a cylinder is 637 cm³. If the radius is 3 cm, what is the height
of the cylinder?
Answers
If the radius is 3 cm, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm. The correct option is B.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cylinder is 637 cm³ and the radius is 3 cm. Substituting these values into the formula, we get:
637 = π(3²)h
Simplifying:
637 = 9πh
h = 637 / (9π)
h ≈ 7.06
Thus, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm.
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Which statements are true? Check all that apply.
On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis.
Answers
Answer:
F, A, and D
Step-by-step explanation:
Answer:
the other guy is lying go to some else
Step-by-step explanation:
3.103 4.104 2 2 10 x 10 = 100 Learning Task 1. Evaluate 3 - 10 5. 105 6. 106 7. 107 8. 108 9. 109 N 10.1010 KA E STARAN Learning Task 1: Evaluate the following and write your answer in the your notebook. Exponential Expanded form Value Notation 1. (-10)2 2.86 3. 34 4. 1-25 5. 410
Answers
(1) The value of the exponential number (-10)² = 100
(2) The value of the exponential number 8⁶ = 262, 144
(3) The value of the exponential number 3⁴ = 81
(4) The value of the exponential number (-2)⁵ = -32
(5) The value of the exponential number 4¹⁰ = 1,048,576
The given parameters:
1. (-10)²
2. 8⁶
3. 3⁴
4. (-2)⁵
5. 4¹⁰
The expanded form and value of the given expression is calculated as follows;
\(1.\ \ \ (-10)^2 = -10 \times -10 = 100\\\\2. \ \ 8^6 = 8 \times 8 \times 8\times 8 \times 8 \times 8 = 262,144\\\\3. \ \ 3^4 = 3\times 3\times 3 \times 3 = 81\\\\4. \ \ (-2) ^5 = -2 \times -2 \times -2 \times -2 \times -2 = -32\\\\5.\ \ (4)^{10} = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 1,048,576\)
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Dan was getting rs. 100 for 5 years at an interest rate of 5%. Find the accumulated value of annuity at the end of 5 years
Answers
The future value of the annuity after the end of 5 years is $552.56.
Given that, r =5%= 0.05, 5 years = 5 yearly payments, so n = 5, and P = $100.
What is the annuity formula?The formula to find the annuity formula \(FV=\frac{P \times ((1+r)^{n}-1 )}{r}\).
Now, \(FV=\frac{100 \times ((1+0.05)^{5}-1 )}{0.05}\)
⇒FV = 100 × 55.256
⇒FV = $552.56
Therefore, the future value of the annuity after the end of 5 years is $552.56.
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Problem 1
(a) The domain for all variables in the expressions below is the set of real numbers. Determinewhether each statement is true or false.
(i) ∀x∃y(x+y≥0)
(ii) ∃x∀y(x·y >0)
(b)Translate each of the following English statements into logical expressions.
(i) There are two numbers whose ratio is less than 1.
(ii) The reciprocal of every positive number is also positive
Answers
(a)
(i) True. This statement states that for every x, there exists a y such that x + y is greater than or equal to 0. This is true for all real numbers x and y.
(ii) False. This statement states that there exists an x such that for every y, x times y is greater than 0. But this is not true; for example, when x = 0, x times y is equal to 0 for all y, which is not greater than 0.
(b)
(i) ∃x∃y((x/y)<1)
(ii) ∀x(x>0) → ∃y(1/y>0)
The logical expression states that for all values of x, there exists a value of y such that x + y is greater than or equal to 0. This statement is true because for any real number x, we can always find a real number y such that x + y is greater than or equal to 0.
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La diferencia de las medidas de dos ángulos suplementarios es 20% determina el complemento del menor de dichos ángulos
Answers
Smaller angle = 50
Larger angle = 130
Let smaller angle be x degree
=> larger angle= \(3x - 20\)
Since these angles are supplementary , So
\(= > x + 3x - 20 = 180\\= > 4x = 200\\= > x = 50\\= > 3x - 20\\ = > 150 - 20 = 130\)
So smaller angle would be 50 deg & larger angle would be 130 deg.
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The equation of the line is
Answers
Answer:
y = -x +3
Step-by-step explanation:
You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.
Slope-intercept formThe slope-intercept form of the equation of a line is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
For the given equations, we can put them in this form to find the desired parameters.
-3y = -9 +3x
y = -x +3 . . . . . . . . . . divide both sides by -3
We observe that the y-intercept is +3, which we will need for our answer.
The slope-intercept form of the second equation is ...
-2x -2y = -8
x + y = 4 . . . . . . . . . . divide by -2
y = -x +4 . . . . . . . . . . subtract x
We observe that the slope (coefficient of x) is -1, which we will need for our answer.
Desired equationWe want the equation of the line with slope -1 and y-intercept 3. It is ...
y = -x +3 . . . . . . . . . . same as the equation of the first line
__
Additional comment
The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)
in a recent year, male students and female students were enrolled as undergraduates. receiving aid were of the male students and of the female students. of those receiving aid, of the males got federal aid and of the females got federal aid. choose student at random. (hint: make a tree diagram.) find the probability of selecting a student from the following.
Answers
To make a tree diagram, start by writing out the given information and drawing a box around it. Then draw two branches off of the box representing the two possible outcomes of selecting a student, male or female. Then draw two more branches off of each of the first two branches, representing the two possible outcomes of receiving aid.
Then draw two more branches off of each of the second two branches, representing the two possible outcomes of receiving federal aid. This will create a tree diagram that looks like this (see the image).
From the tree diagram, we can calculate the probability of selecting a student from the given information as follows:
P(selecting a student) = P(selecting a male) + P(selecting a female) = (of male students/total students) + (of female students/total students) = (of male students + of female students)/total students =
Therefore, the probability of selecting a student from the given information is .
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how do you find the perimeter on a coordinate plane
Answers
Answer: You draw the shape on the coordinate plan and then you can count the number of unit squares
Step-by-step explanation:
The graph of f(x) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1.75, 4), has a vertex of (negative 0.25, negative 3), and goes through (1.4, 4). Solid circles appear on the parabola at (negative 1.6, 3.1), (negative 1.2, 0), (negative 0.25, negative 3), (0.8, 0), (1.2, 3.1).
Over which interval on the x-axis is there a negative rate of change in the function?
–2 to –1
–1.5 to 0.5
0 to 1
0.5 to 1.5
Answers
Answer:
The answer is A. –2 to –1
Step-by-step explanation:
Answer: A on edge
Step-by-step explanation:
44. There are 30 calculators numbered 1-30 in
a case. If 4 of the calculators are broken,
what is the probability that the numbers on
the broken calculators are at least 16?
Answers
The probability that the numbers on the broken calculators are at least 16 will be 0.9997.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
There are 30 calculators numbered 1-30 in a case. If 4 of the calculators are broken.
Then the probability that the numbers on the broken calculators are at least 16 will be
Number of ways to get a sum less than 16 = 1234, 1235, 1236, 1237, 1238, 1239, 2345, 2346 = 8
Probability = 1 – 8 / (³⁰C₄) = 1 – 8/27405 = 0.99970808246
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Zoe is painting the outside surfaces of the cylinder for an art project. Find the surface area of the cylinder. Use the formula SA = 2B + Ph. Use 3.14 for π
, and round to the nearest tenth.
PLEASE ANWSER ABOUT TO FAIL
Answers
The surface area of the cylinder is 131.88 in².
A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as:
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The surface area of the cylinder = 2B + P h
Where B is the base area and P is the perimeter.
B = πr² and P = 2πr
Now,
We will assume that,
The radius of the cylinder = 3 in.
The height of the cylinder = 4 in.
So,
The surface area of the cylinder.
= 2B + P h
= 2πr² + 2πrh
= 2 x 3.14 x 3² + 2 x 3.14 x 3 x 4
= 56.52 + 75.36
= 131.88 in²
Thus,
131.88 in² is the surface area of the cylinder.
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Solve the equation: 3x - 2/4 = 2x – 8 Explain your reasoning / show work:
Answers
Reduce the fraction
Move terms
Collect like terms and calculate