Answer:
10.35miles/hour
Step-by-step explanation:
(63,756 x 60)/ (70 x 5,280) = (3,825,360/369,600) = 10.35
(Application of division)
Answer:
10.35 mph
Step-by-step explanation:
(63,756 times 60) / (70 times 5280) in calculator is equal to 10.35
What is the value of x in the following equation? 11^4x+1= 11^3x-7
Answer:
-8
Step-by-step explanation:
well since the equation has the same base of 11, you can just solve for x as you normally would. so the question becomes:
4x+1 = 3x -7
subtract one from both sides
4x = 3x - 8
subtract 3x from both sides
x = - 8
Answer:
x= -8
Step-by-step explanation:
how do we prove that a line is a tangent of a circle
Answer:
if the line makes an angle of 90° with the radius of the circle at the point of contact of the tangent and the circle
Write the standard equation of a circle with center (1, 3) and radius 2
units.
Step-by-step explanation:
The distance between the point anywhere in the circumference of the circle and the centre of the circle is 2,
[tex] \sqrt{(1 - x {)}^{2} + {(3 - y)}^{2} } = 2 \\ 1 - 2x + {x}^{2} + 9 - 6y + {y}^{2} = 2 \\ [/tex]
Therefore the equation of circle is:
[tex] {x}^{2} + {y}^{2} - 2x - 6y + 8 = 0[/tex]
Can someone please tell me what the equation would be and how I would show it
Answer:
Step-by-step explanation:
3x-4y-15=0
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve 3x-4y-15 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y-15 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000
y-intercept = 15/-4 = -3.75000
Calculate the X-Intercept :
When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000
x-intercept = 15/3 = 5
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Hope This Helps!!!
State if the triangle is a right triangle. (Remember that the largest value is always c)
No
Yes
Answer:
Yes
Step-by-step explanation:
Right triangles have a 90 degree angle, which this triangle does. The side opposite the 90 degree angle is the hypotenuse. The hypotenuse (in this case 53 m) is the longest side.
Need help on this question I’m taking this!!
Answer:
A) y=4+x
Step-by-step explanation:
Since the initial amount was 4 gallons, any additional fuel added will be in addition to that.
whats 3 plus 4 times 3?
Answer:
3+(4*3)=15.....................
Answer:
21
Step-by-step explanation:
3+4=7
7×3=21
you are going to add 3 and 4.
After adding, you multiply 7by 3
giving yout 21
Find the missing angle?
Answer:
[tex]55.23[/tex]
Step-by-step explanation:
In order to solve this problem, one must use the right triangle trigonometric ratios. Right triangle trigonometric ratios are ratios between the sides and angles of a right triangle. These ratios are the following:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind that each side is named relative to the angle that one is describing in the triangle. Thus, the name of the side can change based on the angle. Please note that this only applies to the (opposite) and (adjacent) sides. The (hypotenuse) is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this triangle, one is asked to find an angle, one is given the length of the side opposite the angle, as well as the hypotenuse. Thus, one should use the ratio of sine (sin), to solve for the unknown angle.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(\theta)=\frac{23}{28}[/tex]
Inverse operations,
[tex]\theta=sin^-1(\frac{23}{28})[/tex]
Simplify,
[tex]\theta=55.228056[/tex]
The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.
From the given scenario, we can conclude that events A and B are
Answer:
dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
According to the Question,
Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.Thus, The events A, B and A∩B are:
A - Jane will go to a ballgame on Monday;
B - Kate will go to a ballgame on Monday;
A∩B - Kate and Jane both go to the ballgame on Monday.
P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Answer:
From the given scenario, we can conclude that events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
Correct answer for plato users
For what value of x is
896Z15
225 25
11
XV14z? Assume z+0.
Answer: Value of x is, 8
Step-by-step explanation:
Given: ,.....[1]
To find the value of x:
Using exponent rules:
Taking square both sides in [1] we have;
Simplify:
or
Multiply both sides by we get;
Simplify:
or
Simplify:
x = 8
Therefore, the value of x is, 8
Multiply (3n + 8) by (4n + 2) using double distribution.
Answer:
12n² + 38n + 16
Step-by-step explanation:
(3n + 8)(4n + 2)
12n² + 6n + 32n + 16
12n² + 38n + 16
What is an equation of a line that passes through the points (1,8) and (-1, -2)
Answer:
y = 5x + 3
Step-by-step explanation:
Y = mx + b
find the rise/run
in this case [tex]\frac{10}{2}[/tex] or 5
find b or the y intercept
in this case 3
Hope this helps!
The probability that Sam will win the 50-yard dash is 85%. What is the probability that Sam will not win the 50-yard dash?
Answer:
15%
Step-by-step explanation:
100 % - 85 % = 15 %
got it wrong help a girl out please thank you
Numbers with the same absolute value are?
Answer:Two numbers are opposites if they have the same absolute value but different signs.
Step-by-step explanation:
Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0.
The absolute value is the same as the distance!
I hope this helps =)
A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.
Answer:
The cost price = GHc 16.00
Step-by-step explanation:
Selling price = GHC 20.00
Profit Percent = 25%
Cost price = ?
Formula for finding cost price =
[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]
Let's insert the numbers
[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]
So therefore ; the cost price is GHC 16.00
What is the measurement for b ??
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
What is the standard deviation of the data? Round to the nearest whole number.
The standard deviation of the data is 100 if round to the nearest whole number.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
The list represents the approximate number of megabytes of data Grace used each month as shown in the table.
To find the standard deviation first we will find the mean:
The sum of the all data given = 9380
The mean X' = 9380/12 (total number of observation = 12)
Now subtract the mean from each sample value such as (X-X') and square it.
Find the sum of it.
The formula for the standard deviation is given:
[tex]\rm SD =\sqrt{\frac{\sum(X-X')^2}{n} }[/tex]
Put the ∑(X-X')² = 120866.67 and n = 12
[tex]\rm SD =\sqrt{\frac{120866.67}{12} }[/tex]
SD = 100.36 ≈ 100
Thus, the standard deviation of the data is 100 if round to the nearest whole number.
Learn more about the standard deviation here:
brainly.com/question/12402189
2^x=1/32 write down the value of x
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
log ([tex]2^x[/tex]) = log ( [tex]1/32[/tex] ) {take both the sides}
[tex]x[/tex] * ( log ( 2 ) ) = log ( [tex]1/32[/tex] )
[tex]x=\frac{log(1/32)}{log (2)}[/tex]
[tex]x=-5[/tex]
hope this helps....
Which is equivalent to the expression
(2x = 3x) + (3x + 2x + 3)?
Answer:
add and the take the parathesis out and there you have ur answer
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
I'm going to asume the = was a typo and you intended
(2x + 3x) + (3x + 2x + 3)
Combine like terms
8x + 3
70. Angle of Revolution. Through how many radians does the minute hand of a wrist-watch rotate from 12:40 P.M. to 1:30 P.M.
Answer:
[tex]\frac{5\pi}{3}\:\mathrm{radians}[/tex]
Step-by-step explanation:
Each complete revolution of a circle is equal to [tex]2\pi[/tex] radians. The minute-hand travels one of these revolutions in 60 minutes. Since there are 50 minutes from 12:40 PM to 1:30 PM, the minute hand travels [tex]\frac{50}{60}\cdot 2\pi=\frac{100}{60}\cdot 2\pi=\boxed{5\pi/3\:\mathrm{radians}}[/tex]
Which of the following is a geometric sequence?
O A. 11, 16, 21, 26, ...
B. - 3, 3, -3, 3, ...
O C. -2, 6, 14, 22, ...
O D. 6, 13, 19, 24, ...
Answer:
A
Step-by-step explanation:
geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2
Please help ASAP due at 11:15
Answer:
number 8 is d 16 good luck
in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the value of n
Answer:
n = 16
Step-by-step explanation:
The slope from the origin to each point must be equal
(0,0) and (n, 8)
m = 8/n
(0, 0) and (32, n)
m = n/32
Set the slopes equal
8/n = n/32
cross multiply
256 = n²
Take the square root of both sides
n = 16
15 POINTS FOR WHO WILL ANSWER
You are going on a road trip with your family in the winter break, like you did last year .Your family is wondering which car you used for the trip was faster, your mother’s sedan car or your father’s car SUV
Last year, when your father filled the tank, he recorded the miles on the SUV as 24,033 miles. He paid 83.53$ to fill up the empty gas tank of the SUV. This year, You’ve decided to take your mother’s sedan car. When she filled the tank, it recorded the miles as 15,004. It took 71.98$ to fill up the vehicle’s empty gas tank
Which car is faster? And use the graph
Answer:
The 24,003 is the fastest
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
What is the probability of student liking music given they already like
Answer:
So so so easy its 1 because all of them like music
Please help and thank you. Brainliest!
Answer:
B) $22 for 4 pounds of cashews.
Step-by-step explanation:
[tex]\frac{5.5}{1}= \frac{22}{4}\\4(5.5)=22\\22=22[/tex]
help!!
find the area of the figure below
Answer:
395.5917959
Step-by-step explanation:
parallelogram area is 15 x 12
one half circle is 9^2[tex]\pi[/tex]/2
the other is 7.5^2[tex]\pi[/tex]/2
add all together
rectangle what shape
Square
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