#1
(56,7) is the co-ordinate of point B.
#2
(56,7)
It means that the ball has travelled 56yards .it is at the height of 7ft.
Solve the following systems of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 3x+4y=16 -4x-3y=-19
Answer:
(4, 1)
Step-by-step explanation:
3x+4y=16 /*4
-4x-3y= - 19 /*3
12x + 16y = 64
- 12x - 9y = - 57
7y = 7
y = 1
3x+4y=16
3x + 4*1 = 16
3x = 16 - 4
3x = 12
x = 4
Please help answer this question!:)
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The first step I would do is to subtract the 2x from both sides so the answer is choice D.
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
Learn more about depreciation at: https://brainly.com/question/1203926
#SPJ1
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
For similar question on probability.
https://brainly.com/question/7965468
#SPJ8
0.001374 as a standard form.
What’s the answer to this? No spam links plz.
Step-by-step explanation:
0.001374
standard form means writing a value in shortened form, because sometimes values are too big or small to be written, so we use standard form.
in standard for the decimal always comes after the first digit
so,
\(1.374 \times {10 }^{ - 3} \)
the decimal moves 3 digits to the right so it becomes ten raised to the power minus 3.
will appear.2y = 5x + 11
I'll draw a table
Equation 2y = 5x + 11
y = 5/2 x + 11/2
When x Substitution y
0 y = 5/2(0) + 11/2 11/2 or 5.5
2 y =5/2(2) + 11/2
y =5 + 11/2
y = 21/2 21/2
1 y = 5/2(1) + 11/2
y = 5/2 + 11/2
y = 16/2 8
Points
(0, 5.5)
(1, 8)
(2, 10.5)
The ratio of lineman to forman on a certain project is 8:1. If there are 48 lineman on the project, how many forman are there?
There are 6 foremen on the project compared to the 48 linemen
What is ratio?
Ratio is a quantitative relationship which shows the number of times one value is contained in another, in this case,8:1, the ratio of lineman to foreman means that for every 8 linemen there is 1 foreman
The relationship can also be depicted as shown below:
8/1=48/X
Since there 8 linemen to 1 foreman, it then means 8/1 is the same as 48 divided by X, where represents the number of foremen
Let us cross multiply
8/1=48/X
8*X=48*1
X=48*1/8
X=6
6 means that the project has 6 foremen
Find out more about ratio on:https://brainly.com/question/1781657
#SPJ1
The circumference of the hub cap of a tire is centimeters. Find the area of this hub cap. Use 3.14 for π. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
Answer:
Area of the hub = 470.42 cm² (Approx.)
Step-by-step explanation:
Missing information;
Circumference of the hub = 76.87 cm
Value of π = 3.14
Find:
Area of the hub
Computation:
Circumference of the hub = Circumference of circle
2πr = 76.87
2(3.14)r = 76.87
6.28r = 76.87
Radius of hub = 12.24 cm
Area of the hub = Area of circle
Area of the hub = πr²
Area of the hub = (3.14)(12.24)²
Area of the hub = (3.14)(149.8176)
Area of the hub = 470.42 cm² (Approx.)
Yes, If the circumference of the hub cap were smaller, Area will be small too.
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
for such more question on volume
https://brainly.com/question/6204273
#SPJ8
Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
I really need help with this
Answer:
Step-by-step explanation:
Statement Reason
PR ≅ TR Given
<PQR≅<TSR Given
<PRQ≅<TRS Vertical Angles Theorem
PQR=TSR SAS Theorem (Side-Angle-Side)
Find the value of X.
Answer:
X = 5
Step-by-step explanation:
Angles on a straight line=180°
180-151=29°
sum of angles in a triangle= 180°
11x-1+20-3+29=180
11x+20x-3-1+29=180
31x+25=180
31x=180-25
31x=155
divide both sides by 31
X=5
(11x-1)°= 55-1= 54°
(20x-3)°= 100-3= 97°
54°+97°+29°=180°
Consider that over 3.8 inches of rain fell in Lansing, Michigan on Monday, August 11th, 2016 from 11 AM to 2 PM. News reporters want to know if that sets the record for the city. In 1905, a record 1.2 inches of rain fell each hour for 3 hours. Which is the greater rainfall? please hurry
Answer:
lansing Michigan has more rain
Step-by-step explanation:
What is the slope of -x+ 5y = 10?
Answer:
Slope = 1/5
Step-by-step explanation:
Given equation,
→ -x + 5y = 10
The slope-intercept form,
→ y = mx + b
→ slope = m
Now the slope-intercept form is,
→ -x + 5y = 10
→ 5y = x + 10
→ y = (x + 10)/5
→ [ y = (1/5)x + 2 ]
Then the required slope will be,
→ y = (1/5)x + 2
→ Slope = m = 1/5
Hence, the required slope is 1/5.
Answer:
\(\textsf{Slope}=\dfrac{1}{5}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)
Given equation:
\(-x+5y=10\)
To find the slope of the given equation, use algebraic operations to isolate y.
Add x to both sides of the equation:
\(\implies -x+5y+x=10+x\)
\(\implies 5y=x+10\)
Divide both sides of the equation by 5:
\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)
\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)
\(\implies y=\dfrac{1}{5}x+2\)
The coefficient of x is the slope of the equation.
Therefore, the slope of the given equation is ¹/₅.
There are 3 lie detectors
Answer:
There are 3 lie detectors each of which accurate 70% of time what is the
Step-by-step explanation:
There are 3 lie detectors each of which accurate 70% of time what is the combined accuracy of the three lie detectors put together? (In the case where two lie detector predict one result and the third predicts an opposite result the result of the two detector giving same result will be considered )
simplify the expression 2x-14x+7
Answer:-21
Step-by-step explanation:
A coach collected data for his runners for 2 weeks. Week 1: Mean = 14.5 miles/ MAD = 1.15 Week 2: Mean = 16 miles/ MAD = 1.5. Which statement correctly compares the variability from Week 1 to Week 2? *
if f(x)=x+2/x^2-9 and g(x)=11/x^2+3x
A. find f(x)+g(x)
B. list all of the excluded values
C. classify each type of discontinuty
To receive credit, this must be done by Algebraic methods, not graphing
The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
A. To find f(x) + g(x), we add the two functions together:
f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)
To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:
f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]
Simplifying the numerator:
f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]
Combining like terms:
f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]
B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:
(x^2 - 9) = 0 --> x = -3, 3
(x^2 + 3x) = 0 --> x = 0, -3
So, the excluded values are x = -3, 0, and 3.
C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.
At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.
At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.
Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
For more questions on vertical .
https://brainly.com/question/30195815
#SPJ8
if marvin bought 490 soda cans and candy bars, where the ratio is 3:4, respectively, how many of each did marvin buy?
9514 1404 393
Answer:
210 soda cans280 candy barsStep-by-step explanation:
The 3+4 = 7 ratio units represent the total of 490 snacks, so each ratio unit represents 490/7 = 70 snacks.
The number of soda cans is 3·70 = 210.
The number of candy bars is 4·70 = 280.
Marvin bought 210 soda cans and 280 candy bars.
if there were 1600 frogs shaking their butts on lily pads and 199 of them leave how much frogs are still shaking their butt on lily pads
Answer:
if there were 1600 frogs shaking their butts on lily pads and 199 of them leave, 1401 frogs will still be shaking their butts.
Step-by-step explanation:
has a normal distribution with mean 7.5 and standard deviation 2.5. for which of the following is the probability equal to 0 ?
Using the normal probability distribution, it is found that P(X = 8) is equal to zero.
In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
\(Z = \frac{X-mean }{S.D.}\)
It measures how many standard deviations the measure is from the mean.After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.As in any continuous distribution, the probability of an exact value, that is, P(X = x), is 0.Hence, from the last bullet point, it is found that P(X = 8) is equal to zero.
Learn more about standard deviation:
https://brainly.com/question/23907081
#SPJ4
Which of the following are prime factorizations of the number 28? Check all
that apply.
A. 7,4
B. 2, 2,7
C. 7, 2,2
D. 4,7
Answer:
C. 7,2,2 is the answer
Step-by-step explanation:
hope i helped
Ratna , who is in Mumbai , telephones her brother Ravi in Ahmedabad and speaks for 89 seconds . She is charged Rs 1.20 for every 16 seconds or part of 16 seconds . There is also a service charge of Rs 2 / - . Study the bill carefully . How much will it cost Ratna if she speaks to Ravi for 3 minutes ?
A) 14.40
B) 16.40
C) 18.40
D) 20.40
Please give explanation of your answer , please .
Answer:
16.40
Step-by-step explanation:
3 min-> 180 s
180÷16≈11
11+1=12
12x1.20=14.40
14.40 + 2 = 16.40
in vienna were more of the high and low temperatures above or below 0 C justify your answer using a vertical number line
Looking at the data, we can see that both the high as well as low temperatures of Monday, Tuesday, Thursday, & Friday were above \(O^{o}C\). The high on Wednesday was minus zero degrees Celsius.
What is the name for temperature?The most popular scales are indeed the Celsius scale, sometimes known as centigrade, with the unit sign °C, the Franklin level (°F), and the Scale parameter (K), with the latter being mostly used for scientific reasons.
What is the current temperature?The total kinetic energy of a substance's particles is measured by its temperature. 2. An object's kinetic energy increases with increasing temperature. 3. If we add up the instances where the maximum and low temps were in excess of or below zero degrees Celsius, we find:
High temperature above \(O^{o}C\): 5 days
High temperature below \(O^{o}C\): 2 days
Low temperature above \(O^{o}C\): 3 days
Low temperature below \(O^{o}C\): 4 days
Therefore, we can see that overall, there were more days where the temperatures were below \(O^{o}C\), both for the high and low temperatures.
To know more about temperature visit:
https://brainly.com/question/29095691
#SPJ1
The complete question is:
In Vienna were more of the high and low temperatures above or below \(O^{o}C\) justify your answer using a vertical number line
Days high temperature low temperature
Monday 8 0
Tuesday 9 -4.5
Wednesday 4.5 -12
Thursday 9 4.5
Friday 8.5 -6
Saturday 1 -10
Sunday 5 -14
f(x)=−2x+3; Domain: {−1,0,2}
Find the range of the function for the given domain.
Answer:
Range: 1,3,7
Step-by-step explanation:
(-1,1),(0,3),(2,7)
2(-1)+3
2(0)+3
2(2)+3
What is the solution for x in the equation? -11x - 30 + 6x = 0
Answer:
-6
Step-by-step explanation:
combine like terms- -5x -30=0
move the 30 over- -5x=30
divide- x= 30/-5
x=-6
Answer:
-6
Step-by-step explanation:
Use the given functions to set up and simplify
x
.
x
=
−
11
x
−
30
+
6
x
=
0
=
x
=
−
6
Help please:)
Graph the equation by plotting points.
X=4
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
WRONG ANSWERS ONLY, who is this anime character? You must actually answer the question though.
Answer:
I think it may be Naruto
Step-by-step explanation:
write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
For more question on perpendicular visit:
https://brainly.com/question/1202004
#SPJ8
(8m + 4) + (8m + 4) combine the like terms to simplify
The expression simplified can be written as:
16m + 8
How to combine the terms and simplify?Here we want to simplify the following expression:
(8m + 4) + (8m + 4)
To simplify, we start by removing the parenthesis:
8m + 4 + 8m + 4
Now we can change the order of the terms so we get:
8m + 8m + 4 + 4
Now we can group the like terms to get:
(8m + 8m) + (4 + 4)
And simplify this to get:
16m + 8
That is the simplified expression.
Learn more about expressions at:
https://brainly.com/question/723406
#SPJ1
what percent of 80 is 60
It is 75%.
Hope this helps.
We can write the complete statement as -
75% of 80 is equivalent to 60.
How can we represent "a% of b"?We can represent "a% of b" as -
a% of b = a/100 x b
a% of b = ab/100
So, a% of b = ab/100
Given is to find what percent of 80 is 60.
Assume that {x}% of 80 is equivalent to 60. So, we can write -
60 = x% of 80
60 = {x}/100 x 80
60 = 80x/100
60 = 8x/10
x = 600/8
x = 75
So, we can write that
75% of 80 is equivalent to 60.
Therefore, we can write the complete statement as -
75% of 80 is equivalent to 60.
To solve more questions on percentage, visit the link below-
https://brainly.com/question/19034579
#SPJ7