Answer:
43/13 or 1.0769 = 1
Step-by-step explanation:
What is the distance between ( 25, -3) and (1, -3)?
_3.5 units
units
11
o 15 units
units
Save and Exit
Next
SU
Mark this and return
Answer:
D = 24 units
Step-by-step explanation:
Using Distance Formula
Distance Formula = \(\sqrt{(x2-x1)^2+(y2-y1)^2}\)
D = \(\sqrt{(1-25)^2+(-3+3)^2}\)
D = \(\sqrt{(-24)^2+(0)^2}\)
D = \(\sqrt{576}\)
D = 24 units
what is the product? 1/2*[12,64 -78,30]
Order the side lengths EF, FG, and GE from least to greatest,
(Note that the figure is not drawn to scale.)
A
44
Answer:
Angle g=76 degrees
the order i would say is EF,GE,FG
tell what you get
You're welcome
Step-by-step explanation:
Triangle equal 180 degrees so 180-60-44=76
so last angle is 76 degrees
for f(x)=4x+1 and g(x)=x^2-5, find (f-g) (x) need help guys!
Answer:
-x^2 +4x +6
Step-by-step explanation:
f(x)=4x+1
g(x)=x^2-5
(f-g)(x) = 4x+1 - (x^2-5)
Distribute the minus sign
= 4x+1 - x^2 +5
= -x^2 +4x +6
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The true statements are
The value of f(–10) = 82
The graph of the function is a parabola.
The graph contains the point (20, –8).
What is a Parabola:A parabola is a type of conic section that is formed when a plane intersects a cone in such a way that the angle between the plane and the vertical axis of the cone is equal to the angle between the plane and a generator (a straight line passing through the vertex and the base of the cone).
The resulting shape is a symmetrical, U-shaped curve. The standard form of the parabola is a quadratic function.
Here we have
The quadratic function f(x) = x²/5 – 5x + 12
Now check each option as follows
1. The value of f(–10) = 82
To check this find f(-10) as follows
f(-10) =1/5 (-10)²– 5(-10) + 12 = 20 + 50 + 12 = 82
Hence, The value of f(–10) is equal to 82
2. The graph of the function is a parabola.
As we know the standard equation of a parabola is a quadratic function that is in the form of ax² + bx + c
Hence, the quadratic function represents a parabola
3. The graph of the function opens down.
In the given function f(x) = x²– 5x + 12, the coefficient of the x² term is 1. Since the coefficient of x² is positive, the parabola opens upwards.
Hence, The graph of the function opens down is false
4. The graph contains the point (20, –8).
To check this substitute the point in f(x)
=> –8 = 1/5(20)²– 5(20) + 12
=> –8 = 80 – 100 + 12
=> –8 = –8 [ Which is true ]
Hence, The graph contains the point (20, –8).
5. The graph contains the point (0, 0).
=> 0 = (0)²– 5(0) + 12
=> 0 = 12 [ which is not true ]
Hence, The graph doesn't contain the point (0, 0).
Therefore,
The true statements are
The value of f(–10) = 82
The graph of the function is a parabola.
The graph contains the point (20, –8).
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The odds against an event are 19 to 12 find the probability that The event will occur
Answer:
the event is odds against an event of the 19 to 12 is probability is the 19
The probability of occurring the event is 12/31.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
We know if the odds against an event is a : b then the probability of occurring the event is b/(a + b).
Given, The odds against an event are 19 to 12.
∴ The probability of occurring the event is 12/(19 + 12) = 12/31.
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The equation y=3x+4 estimates the number of U.S. households, in millions, expected to install devices that receive and manage broadband TV and Internet content to the home, where is the number of years after 2004. In what years will there be at least 31 million homes with these devices? Write your answer as an inequality involving
In "9 years" there will be at least 31 million homes with these devices
According to the question,
The equation is:
\(y = 3x+4\)At least 31 million homes,
\(y \geq 31\)then,
→ \(3x+4 \geq 31\)
By subtracting "4" from both sides of the equation,
→ \(3x+4-4 \geq 31-4\)
→ \(3x \geq 27\)
→ \(x \geq \frac{27}{3}\)
→ \(x \geq 9\)
Thus the answer above is appropriate.
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A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 7 miles away from milepost 58. If m is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?
Answer:
Step-by-step explanation:
The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:
m = 58 + 7
This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.
Solve for and in the following simultaneous equations below; 5x−4y=8 and 2x+y=11.
Answer:
x=4 and y=3
Step-by-step explanation:
put one of the equations in slope form and solve
Answer:x=4 y=3
Step-by-step explanation:
5x-4y=8.............(1)
2x+y=11................(11)
From (11) y=11-2x
Substitute y=11-2x in 5x-4y=8
5x-4y=8
5x-4(11-2x)=8
Open bracket
5x-44+8x=8
Collect like terms
5x+8x=8+44
13x=52
Divide both sides by 13
13x/13=52/13
x=4
Substitute x=4 in 2x+y=11
2(4)+y=11
8+y=11
Collect like terms
y=11-8
y=3
SOMEONE HELP ME PLEASE
Answer:
x=8
Step-by-step explanation:
the y-value in the first pair decreased by half, so the x-value must double due to inverse variation.
The triangle shown is reflected across the
y-axis
Answer: The image of the triangle is located on the 4th quadrant.
Select the correct comparison.
A. The typical value and the spread are both greater in set B.
B. The typical value is greater in set B. The spread is greater in set A.
C. The typical value and the spread are both greater in set A.
D. The typical value is greater in set A. The spread is greater in set B.
Answer:
The typical value is greater in set A. The spread is greater in set B.
Step-by-step explanation:
A P E X, hope it helps.
Answer:
it's B
Step-by-step explanation:
took the quiz
what is 3 +(-4) on a number line
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
24 yd
30 yd
18 yd
The area is 108yd2(square yards).
In the given triangle a base
24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:
A=12×b×h
If we substitute the given numbers we get:
A=\(\frac{1}{2}\)×24×18
=12×9
=108
The units of base and height are the same (yards), so the calculated area is in yd2
The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
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If the 4th and 7th terms of a G.P are −1/2 and
− 4, respectively, then find G5 and S6 .
Answer:
G5 = -1
S6 = -63/16
Step-by-step explanation:
The formula for finding the nth term of a GP is Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
If the 4th term is -1/2
T4 = ar^4-1
T4 = ar³ = -1/2.... 1
If the 7th term is -4
T7 = ar^7-1
T7 = ar^6 = -4.... 2
Divide both equation
ar^6/ar³ = -4/(-1/2)
r³ = -4×-2
r³ = 8
r = 2
Common ratio is 2
Since ar³ = -1/2
a(2)³ = -1/2
8a = -1/2
a = -1/16
The first term is -1/16
Get the fifth term G5
G5 = ar⁴
G5 = (-1/16)(2)⁴
G5 = (-1/16)(16)
G5 = -1
Get the sum of the first six terms S6
S6 = a(r^n-1)/r-1
S6 = -1/16(2^6-1)/2-1
S6 = -1/16(64-1)
S6 = -63/16
Hence the sum of the first six terms is -63/16
Write the series using summation notation. Then find the sum of the series.
1 + 2 + 3 + ++ + 12
And
1/2 + 1/4 + 1/6 + ++ + 1/14
Hello, please consider the following.
\(\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78\)
For the second we will need to put on the same denominator.
\(\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...\)
Thank you.
what is the volume of the cylinder below height 15 radius 11
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
How many 20kobo make up #20
Answer:
100
Step-by-step explanation:
#20 naira - 20 * 100
= 2000kobo
2000/20
100
QED✅✅
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Order the temperatures for the week from hottest to coldest: 25 degrees, 2 degrees below zero, -16 degrees, and 40 degrees above zero.
A. -2°, -16°, 25°, 40°
B. -16°, -2°, 259, 16°
C. 40°, 25°, -16°, -2°
D. 40°,25°, 2°, -16°
E. 40°, 250, -2°, -16°
Answer:
C. 40,25,-16,-2 Celsius
Between 11 p.m. and midnight on Thursday night, Mystery Pizza gets an average of 4.2 telephone orders per hour. (a) Find the median waiting time until the next telephone order. (b) Find the upper quartile of waiting time before the next telephone order. (c) What is the upper 10 percent of waiting time until the next telephone order? Show all calculations clearly.
a) The median waiting time until the next telephone order is of: 2.91 minutes.
b) The upper quartile of waiting time before the next telephone order is of: 5.82 minutes.
c) The upper 10% of waiting time until the next telephone order is of: 9.67 minutes.
What is the exponential distribution?The exponential probability distribution, with mean m, is described by the following equation:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
The mean for this problem is of:
m = 4.2.
Hence the decay parameter is of:
\(\mu = \frac{1}{4.2} = 0.2381\)
The mass function is then given as follows:
\(P(X \leq x) = 1 - e^{-\mu x}\)
Hence:
\(P(X \leq x) = 1 - e^{-0.2381x}\)
The median time is the value of x for which P(X < x) = 0.5, hence:
\(0.5 = 1 - e^{-0.2381x}\)
\(e^{-0.2381x} = 0.5\)
\(\ln{e^{-0.2381x}} = \ln{0.5}\)
-0.2381x = ln(0.5)
x = -ln(0.5)/0.2381
x = 2.91 minutes.
The upper quartile is the value of x for which P(X < x) = 0.75, hence:
\(0.75 = 1 - e^{-0.2381x}\)
\(e^{-0.2381x} = 0.25\)
\(\ln{e^{-0.2381x}} = \ln{0.25}\)
-0.2381x = ln(0.25)
x = -ln(0.25)/0.2381
x = 5.82 minutes.
The upper 10% is the value of x for which P(X < x) = 0.9, hence:
\(0.9 = 1 - e^{-0.2381x}\)
\(e^{-0.2381x} = 0.1\)
\(\ln{e^{-0.2381x}} = \ln{0.1}\)
-0.2381x = ln(0.1)
x = -ln(0.1)/0.2381
x = 9.67 minutes.
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Match each drawing on the left with its geometric notation on the right. Some of the answer choices on the right may not be used.
Answer:
Please attach a photo to this so I can better answer your question
Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}5x+y=3\\\\4x-7y=8\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 4x−7y=8 \begin{cases}5x+y=3\\\\x+8y=-5\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 x+8y=−5 1) How can we get System BBB from System AAA?
Answer:
First One is C and the second one is A
Step-by-step explanation:
I got it wrong then found out the answers
Systems of equations are collection of multiple equations
We can get system B from system A by: subtracting both equations in system A and by bringing the first equation of system A
The systems of equations are given as:
System A
5x + y = 3
4x - 7y = 8
System B
5x + y = 3
x + 8y= -5
Subtract 4x - 7y = 8 from 5x + y = 3
So, we have:
\(\mathbf{5x - 4x + y+7y = 3 - 8}\)
\(\mathbf{x + 8y =- 5}\)
This means that, we can get system B from system A by:
Subtracting both equations in system AAnd by rewriting the first equation of system ARead more about systems of equations at:
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how do you mutiply fractions
Answer: The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Answer:
Multiply the denominator and the top.
For example 1/2 * 2/1 is 2/2 since you do 2*1 and 1*2 which bothe get you two.
Step-by-step explanation:
What is 2+ (-3) equal to -1?
A. Because it is 3 units to the left of 2 on a horizontal number line
B. Because it is 3 units to the right of 0 on a horizontal number line
C. Because it is 3 units to the left of 0 on a horizontal number line
D. Because it is 3 units to the right of 2 on a horizontal number line
Answer:
A. because -1 is indeed 3 units to the left, or -3/+(-3) to the right.
P.s.
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Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest tenth.
The equation of line for the given data is y = 5x -1.
According to the given question.
We have a data of points for a equaton of line.
As we know that the standard equation of line is y = mx + b.
Where, m is the slope of line and b is the y intercept.
Since, the points which are given in the data must satisfy y = mx + b.
Therefore,
Lets take the points (1, 4) and (2, 9) and substitute it in y = mx + b to find the value of m and b.
At x = 1 and y = 4
4 = m + b ..(i)
And at x = 2 and y = 9
9 = 2m + b ..(ii)
From equation i and ii
m = 5
So, b = -5 + 4 = -1
Hence, the equation of line for the given data is y = 5x -1.
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2+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
The average lifespans of 18 common species of turtles are shown below along with the five-number summary.
According to the 1.5 IQR rule for outliers, how many low outliers are there in the data set?
Answer:
There are 0 low outliers in the data set.
Step-by-step explanation:
The five-number summary tells us that Q1= 24 and Q3=40
Q1-1.5*IQR
=24-1.5*IQR
=24-1.5(40-24)
=24*1.5*16
=24-24
=0
Answer:
0
Step-by-step explanation:
Calculate the area of a rectangle with the base of 12 feet and height of 3 feet. PLS hurry
Answer:
Step-by-step explanation:
Multiply 12 by 3 which is 36. Therefore your area is 36ft sqaured.
15
25
15
23
15
23
17
21
21
19
15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)
c.) The range is