Please quick A car travels 320 miles on 10 gallons of gas. How far could the car travel on 25 gallons of gas?
Answer:
800 miles.
Step-by-step explanation:
He would travel 800 miles because 320 divided by 10 is 32. 32 multiplied by 25 is 800.
Hope this helps!
You are predicting whether an email is a spam or not (1 if the email is spam else 0). Based on the features, you obtained an estimated probability to be 0.75. What is the meaning of this estimated probability
The meaning of the estimated probability is that; there is 25% chance that the email will be spam.
How to Estimate the Probability?Probability is the chance that an event will happen or occur. Now, we are told that you obtained an estimated probability of 0.75.
Now, from the way the question is put forth, we can say that the probability that the email will not be spam is 0.75 or 75%.
Thus, we can conclude that the meaning of the given probability when placed in context of what you are trying to predict is that;
There is 25% chance that the email will be spam.
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please help
with answer
Answer:
-12 is the answer
Step-by-step explanation:
Substitute 1/4 for a and 6 for b in the equation
-8ab
-8(1/4)(6) Multiply
-8(1.5) Multiply
-12
find the equation of the line that goes through the point ( 0 , -3 ) and is perpendicular to the line y= -2/5x +6
Answer:
y = -2/5x - 3
Step-by-step explanation:
y= -2/5x + b
-3 = -2/5(0) + b
-3 = 0 + b
-3 = b
(Blank)% of 600,000= 120,000
I need to know what blank is
Answer:
20%
Step-by-step explanation:
Hope this helps!!!
Al released his balloon from the 10-yard line, and it landed at the 16-yard line. If the ball reached a height of 27 yards, what equation represents the path of his toss?
The equation of the path of the parabola is y = a(x - 13)² + 27
Given data ,
To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.
The equation of a parabola in vertex form is given by:
y = a(x - h)² + k
where (h, k) represents the vertex of the parabola
Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.
The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:
h = (10 + 16) / 2 = 13
Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)
Now, let's substitute the vertex coordinates (h, k) into the general equation:
y = a(x - 13)² + k
Substituting the vertex coordinates (13, 27)
y = a(x - 13)² + 27
To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).
This means that the highest point (13, 27) lies on the parabola
Substituting the vertex coordinates (13, 27) into the equation
27 = a(13 - 13)² + 27
27 = a(0) + 27
27 = 27
Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number
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Plz Help me this is already overdue
Answer:
2nd Column: \(\frac{39-78}{25-59}\)
3rd Column:\(1.56\)
Step-by-step explanation:
2) For this, just follow the formula given underneath the chart.
3) Here, simplify the equation used in the 2nd Column. \(\frac{39-78}{25-50} = \frac{-39}{-25} = -1.56\)
At leslie's school the ratio of boys and girls is 11 to 12 at marks school the ratio of boys girls is 41 to 48 if both schools have the same total number of students which Statement about the number of boys at marks and lesills school is true
Answer: B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
Step-by-step explanation:
Here are the options:
A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.
B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
At leslie's school the ratio of boys and girls is 11 to 12. This implies that the fraction of boys in the school to total students will be:
= 11/(11 + 12) = 11/23 = 0.4783
At Marks school the ratio of boys to girls is 41 to 48. Thus implies that the fraction of boys in the school to total students will be:
= 41 / (41 + 48) = 41/85= 0.4824
Based on the calculation, we can deduce that there are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
labels of weight status were added, such as under 18.5 = underweight, 18.5 to 24.9 = healthy, 25 to 29.9 = overweight, 30 or higher = obese. which variables do these labels describe?
These labels describe the Body Mass Index (BMI) of an individual. BMI is a measure of body fat based on height and weight.
Labels of weight status were added, such as under 18.5 = underweight, 18.5 to 24.9 = healthy, 25 to 29.9 = overweight, 30 or higher = obese.
BMI is used to determine whether an individual is a healthy weight for their height. Under 18.5 is classified as underweight. A BMI of 18.5 to 24.9 is considered a healthy weight, 25 to 29.9 is classified as overweight, and a BMI of 30 or higher is considered obese.
It is important to note that BMI is not an exact measure of body fat, and individuals with higher amounts of muscle mass may have a higher BMI. Therefore, BMI should be used as a guide to assess overall health and not as an absolute measure of body fat.
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Linear regression has been applied to data for the engine power
on the engine displacement for 20 petrol engines. A linear model y
= 60 * x - 10 has been obtained, where x is in litres, and y is in
ki
The linear model equation is y = 60 * x - 10.In the given linear regression model, y represents the engine power (in kilowatts) and x represents the engine displacement (in liters) for 20 petrol engines.
This equation implies that for each one-unit increase in the engine displacement (x), the engine power (y) is expected to increase by 60 units of kilowatts, with a constant offset of -10 kilowatts.
It's important to note that this linear model assumes a linear relationship between engine power and engine displacement, with a fixed slope of 60 and a constant offset of -10. The model is used to estimate or predict the engine power based on the engine displacement.
If you have specific data points for the engine displacement (x) of the 20 petrol engines, you can substitute those values into the equation to estimate the corresponding engine power (y) for each engine.
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a tank contains 1000 l of pure water. brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 lymin. brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 lymin. the solution is kept thoroughly mixed and drains from the tank at a rate of 15 lymin. how much salt is in the tank (a) after t minutes and (b) after one hour?
According to the information we can infer that the rate of salt in the water is: 0.65 Kg/min.
How to find the rate of salt in the water?To find the rate of salt in the water we must perform the following mathematical operation:
Rate in = 0.05lg/L * 5 L/min + 0.04 kg/L * 10 L/minRate in = 0.25 kg/min + 0.4 kg/minRate in = 0.65 kg/minAccording to the above, to find the amount of salt that is draining from the tank per minute we must multiply the value of 0.65kg/min. For example, in the case of being an hour (60 minutes).
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A new way of multiplying two vectors is introduced in this chapter. What is it called?.
find three positive numbers whose sum is 21 and whose product is maximal. (enter your answers as a comma-separated list.)
The three positive numbers whose sum is 21 and whose product is maximal are 7, 7, and 7. So, the answer is: 7, 7, 7.
To find three positive numbers whose sum is 21 and whose product is maximal, we have to use the concept of AM-GM inequality.
The AM-GM inequality states that for any set of positive real numbers, the arithmetic mean of these numbers is always greater than or equal to the geometric mean of these numbers. To maximize the product of the three positive numbers whose sum is 21, we let all three numbers be equal. Therefore:
Let the three numbers be a, b, and c.
So, a = b = c.
The sum of the three numbers is 21,
so: a + b + c = 21
We have a = b = c.
Then we substitute to obtain:
3a = 21
a = 7
Therefore, the three positive numbers whose sum is 21 and whose product is maximal are 7, 7, and 7. So, the answer is: 7, 7, 7.
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in the sketch below, the coordinates of the vertices of triangle ABC are A(2:1), B(-2:-3) and C(-4:3) with D(-1: 2) on AC and E(-3;0) on BC. C4.3) 0-1:2 E 3.0) 1-2-3 1.1 Calculate the gradients of AB and DE. 1.2 What can you deduce about lines AB and DE? Give a reason for your answer.
Answer:
1.1 gradients of both AB and DE are 1
1.2 the lines are parallel
Step-by-step explanation:
1.1You can see from the graph, that both segment AB and segment DE have a rise of 1 unit for each run of one unit. The slope is the ratio of rise to run, so is 1/1 = 1.
The slope of each segment is 1.
__
1.2Lines with the same slope are parallel.
Lines AB and DE are parallel.
a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d
Answer:
c= - 4, d = 7Step-by-step explanation:
Given function:
y = x² + cx + dThe vertex is (2, 3)
We know the vertex form:
y = (x - h)² + k, where (h, k) is vertexSubstitute coordinates to get:
y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7Compare with given to find out:
c = - 4, d = 7Would the point (2,7) be on the line y = 2x +7
No
Step-by-step explanation:A point is on a line if that point satisfies the equation.
Testing Points
To test if the point (2,7) is on the line y = 2x + 7, we need to plug the point into the equation. For the coordinate pair (2,7), the x-value is 2 and the y-value is 7. So, plug 2 in for x and 7 in for y.
7 = 2(2) + 7Then, simplify.
7 = 11As you can see, 7 does not equal 11. Thus, point (2,7) cannot be a point on the given line.
Other Points
We can do this same test with other points such as (1,9). The x-value is 1 and the y-value is 9, so now we can plug them in.
9 = 2(1) + 79 = 9Since 9 equals 9 is a true statement, the point (1,9) is a point on the given line.
Allison has a $35 budget for the county fair. She spends $15 at a craft booth and she wants to buy some kettle corn for her friends that cost $4 for each bag.
Let x = number of friend's
Answer: she can buy it for 5 friends
Step-by-step explanation:
$35(budget)- $15(craft booth) =$25
then $25 divided by $4 equals 5
So 5 people she can but for.
Consider the following curve. r 2
cos(2θ)=64 Write an equation for the curve in terms of sin(θ) and cos(θ). Find a Cartesian equation for the curve. Identify the curve. hyperbola ellipse limaçon circle line
The equation for the curve in terms of sin(θ) and cos(θ) is 4cos(θ) = 8sin(θ), the curve described by the given equation is a line.
What is the equation of the curve in terms of sin(θ) and cos(θ)?The given equation, \(r^2cos(2\theta) = 64\), can be rewritten in terms of sin(θ) and cos(θ) using trigonometric identities.
By substituting\(r^2 = 4(cos^2(\theta) + sin^2(\theta))\) and\(cos(2\theta) = cos^2(\theta) - sin^2(\theta)\), we can simplify the equation to 4cos(θ) = 8sin(θ).
To find the Cartesian equation for the curve, we can convert the polar equation to rectangular coordinates.
Using the relationship between polar and rectangular coordinates (x = rcos(θ), y = rsin(θ)), we substitute \(r^2 = x^2 + y^2\) and rewrite the equation as 4x = 8y. This equation represents a line.
Therefore, the curve described by the given equation is a line.
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ITS A BIG GRADE I NEED HELP
Is Hi a slang word?
Hi is equivalent to hello, but it is considered a little bit more informal in tone. In fact, it was recorded a lot earlier than hello. Hi developed from the Middle English hy, similar to hey and ha.Oct 13, 2020Is Hi a slang word?
Hi is equivalent to hello, but it is considered a little bit more informal in tone. In fact, it was recorded a lot earlier than hello. Hi developed from the Middle English hy, similar to hey and ha.Oct 13, 2020Is Hi a slang word?
Hi is equivalent to hello, but it is considered a little bit more informal in tone. In fact, it was recorded a lot earlier than hello. Hi developed from the Middle English hy, similar to hey and ha.Oct 13, 2020
Whats is rusult of : ( - 2x² )³ . ( - 3x )²
Answer:
\(-72x^8\)
Step-by-step explanation:
=> \((-2x^2)^3*(-3x)^2\)
=> \(-8x^6*9x^2\)
=> \((-8*9) *(x^6x^2)\)
When bases are same powers are to be added
=> \((-72)(x^{6+2})\)
=> \(-72x^8\)
Answer:
\(- 72x^{8}\)
Step-by-step explanation:
\(( - 2x^2 )^3 \times ( - 3x )^2\)
Distribute the exponents to the brackets.
\(( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )\)
\(( - 2^3x^{6} ) \times ( - 3^2x^2 )\)
\(( - 8x^{6} ) \times ( 9x^2 )\)
\(- 8 \times x^{6} \times 9 \times x^2\)
\(- 8 \times 9 \times x^2 \times x^{6}\)
Multiply like terms and add exponents with same bases.
\(- 72 \times x^{2+6}\)
\(- 72 \times x^{8}\)
Determine the value of n that makes a system of equations with a solution that has a y-value of 7.
5x+6y=57; 2x+ny=34
Answer:
Does that help in any sort of way?
Step-by-step explanation:
List all of the solutions.
n=ay−value=7=5x+6y=57=2x+ny=34=
Help please not sure on the answer :)
Answer:
60
Step-by-step explanation:
5(a + 2) + 6(2a - 3)
Expand the brackets.
5a + 10 + 12a - 18
Add or subtract like terms.
17a - 8
Plug a = 4 and evaluate.
17(4) - 8
68 - 8
= 60
QS∥PT. Complete the proof that m∠P+m∠T=m∠RQT without using the Triangle Angle Sum Theorem.
Solution:
Given the figure;
\(\bar{QS}||\bar{PT}................\text{ Given}\)Then;
\(\angle P\cong\angle RQS....................\text{ Corresponding angle theorem}\)\(\angle T\cong\angle SQT...............\text{ Alternate interior angles theorem}\)\(m\angle RQS+m\angle SQT=m\angle RQT..........\text{ Additive property of angle measure}\)\(m\angle P+m\angle T=m\angle RQT..........\text{ Substitution}\)CORRECT ANSWER: Corresponding Angles Theorem
Select all the true statements
You can compare irrational numbers using rational approximation
Square roots can be compared and ordered by comparing and ordering that numbers underneath the radicals symbol
You cannot compare the value of rational and irrational numbers
The closer together the numbers being compared, the more decimal places you need to use
All irrational numbers have some repeating pattern witch can be used to compare them to rational numbers
Answer:
based on the statements, here are the ones I would select as true
Step-by-step explanation:
You cannot compare the value of rational and irrational numbers, The closer together the numbers being compared, the more decimal places you need to use
Alice purchased paint in a bucket with a radius of 3. 5 inches and a height of 8 inches The paint cost $0. 05 per cubic inch. What was the total cost of the paint? Use 3. 14 for pi. Round only your final answer to the nearest penny. Enter your answer in the box.
The total cost of the paint is approximately $15.40.To calculate the total cost of the paint, we need to find the volume of the bucket and then multiply it by the cost per cubic inch.
The volume of a cylinder can be calculated using the formula:
Volume = π * r^2 * h
Given that the radius (r) is 3.5 inches and the height (h) is 8 inches, we can substitute these values into the formula:
Volume = 3.14 * 3.5^2 * 8
Simplifying the calculation:
Volume ≈ 3.14 * 12.25 * 8 ≈ 307.92 cubic inches
Now, we can calculate the total cost by multiplying the volume by the cost per cubic inch:
Total cost = 307.92 * $0.05 ≈ $15.40
Therefore, the total cost of the paint is approximately $15.40.
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The radius of a cylinder is reduced by 4% and its height is increased by 2%.
Determine the approximate percentage change in
(a) It’s volume
(b) It’s curved surface area (neglecting the products of small quantities)
(a) The approximate percentage change in volume is approximately -7.84%.
(b) The approximate percentage change in curved surface area is approximately -4.08%.
How to determine percentage?To determine the approximate percentage change in the volume and curved surface area of a cylinder when its radius is reduced by 4% and its height is increased by 2%, use the formulas for volume and curved surface area of a cylinder.
Denote the original radius of the cylinder as r and the original height as h.
(a) Volume:
The volume of a cylinder is given by V = πr^2h.
When the radius is reduced by 4%, the new radius becomes (1 - 0.04)r = 0.96r.
When the height is increased by 2%, the new height becomes (1 + 0.02)h = 1.02h.
The new volume, V', is given by V' = π(0.96r)²(1.02h) = 0.9216πr²h.
The percentage change in volume can be calculated as:
ΔV = (V' - V)/V × 100% = (0.9216πr²h - πr²h)/(πr²h) × 100% = -7.84%
Therefore, the approximate percentage change in volume is approximately -7.84%.
(b) Curved Surface Area:
The curved surface area of a cylinder is given by A = 2πrh.
When the radius is reduced by 4%, the new radius becomes (1 - 0.04)r = 0.96r.
When the height is increased by 2%, the new height becomes (1 + 0.02)h = 1.02h.
The new curved surface area, A', is given by A' = 2π(0.96r)(1.02h) = 1.9584πrh.
The percentage change in curved surface area can be calculated as:
ΔA = (A' - A)/A × 100% = (1.9584πrh - 2πrh)/(2πrh) × 100% = -4.08%
Therefore, the approximate percentage change in curved surface area is approximately -4.08%.
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Equation to 20 more than one-seventh of
Answer:
(1/7)*x +20
Step-by-step explanation:
The 4th term as a G.P is 384 and
3rd term is 96 find the first term.
Answer:
first term is 6
Step-by-step explanation:
MULTIPLY BY 4
1) 6 (1st term)
2) 6x4 = 24 (24 is the second)
3) 24 x 4 = 96 (96 is the 3rd)
4) 96 x 4 = 384 (384 the 4th)
9-^1/2 27^-2/3 evaluate
Answer:
\(\frac{1}{27}\)
Step-by-step explanation:
Using the rules of exponents/ radicals
\(a^{-m}\) = \(\frac{1}{a^{m} }\)
\(a^{\frac{m}{n} }\) = \(\sqrt[n]{a^{m} }\)
Given
\(9^{-\frac{1}{2} }\) × \(27^{-\frac{2}{3} }\)
= \(\frac{1}{9^{\frac{1}{2} } }\) × \(\frac{1}{27^{\frac{2}{3} } }\)
= \(\frac{1}{\sqrt{9} }\) × \(\frac{1}{\sqrt[3]{27^{2} } }\)
= \(\frac{1}{3}\) × \(\frac{1}{3^{2} }\)
= \(\frac{1}{3}\) ×\(\frac{1}{9}\)
= \(\frac{1}{27}\)
Match the following MATLAB command to its mathematical meaning log(x) Choose) log 10(x) [Choose) In(x) [Choose] log base 10 of Not a valid MATLAB command log base e of x (log base d of x)/(log base d of b)
The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.
The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).
For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.
For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.
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