Answer: 2x = 14
Step-by-step explanation:
Solving the equation us in elimination method,
x + y - 6 = 0...1
x - y - 8 = 0...2
From 1,
x+y = 6...3
x-y = 8...4
To eliminate y, we will add equation 3 and 4 since both the signs attached to y are different.
2x=6+8
2x = 14 (This will be the resulting equation)
To get the variables x, we will divide both sides of the resulting equation by 2
x = 14/2
x = 7
Substituting x = 7 into eqn 3
7 + y = 6
y = -1
What is the correct way to write 6.3 × 10^8 in standard notation? (25 Points)
A paper popcorn cone measures 4 inches in diameter and is 9 inches high. What is the volume of popcorn that can be contained within this cone? Use 3.14 for pi. Round your answer to the nearest hundredth. 37.68 cubic inches 39.45 cubic inches 40.23 cubic inches 41.90 cubic inches
What are the solutions of the equation z2-12z+36=0
if f(x) = (x+1)^-1 and g(x) = x-2, what is the domain of f(x) divided by g(x)
Women athletes at the university of colorado, boulder, have a long-term graduation rate of 67% (source: the chronicle of higher education). over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. does this indicate that the population proportion of women athletes who graduate from the university of colorado, boulder, is not less than 67%? use a 5% level of significance. find the p-value of the test statistic (round to the nearest ten thousandths).
The solution would be like this for this specific problem:
H0: p = p0, or
H0: p ≥ p0, or
H0: p ≤ p0
find the test statistic z = (pHat - p0) / sqrt(p0 * (1-p0) / n)
where pHat = X / n
The p-value of the test is
the area under the normal curve that is in agreement with the alternate
hypothesis.
H1: p ≠ p0; p-value is the area in the tails greater than |z|
H1: p < p0; p-value is the area to the left of z
H1: p > p0; p-value is the area to the right of z
Hypothesis equation:
H0: p ≥ 0.67 vs. H1: p < 0.67
The test statistic is:
z = ( 0.5526316 - 0.67 ) / ( √ ( 0.67 * (1 - 0.67 ) / 38 )
z = -1.538681
The p-value = P( Z < z
)
= P( Z < -1.538681 )
= 0.0619
Relations and functions need help please.
Find the 6th term of a geometric sequence with t1=5 and r = -1/2
-5/8
-5/16
-5/32
-5/64
A delivery truck uses $375 in gasoline during a 3 week period. if the truck is driven 5 days per week, how much is spent on gas each day?
Final answer:
Approximately $17.86 is spent on gas each day.
Explanation:
To find out how much is spent on gas each day, we need to divide the total amount spent on gas by the number of days in the 3-week period.
First, let's calculate the number of days in 3 weeks. Since there are 7 days in a week, there are 3 × 7 = 21 days in 3 weeks.
Next, we divide the total amount spent on gas, $375, by the number of days: $375 ÷ 21 = $17.86
Therefore, approximately $17.86 is spent on gas each day.
The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.What is the value of x?
You're studying different function tools and begin working with this function:
y=-200-12(x)
Use the equation to answer the question:
What is the y-value when x equals -16?
Answer:
-8
Step-by-step explanation:
Given : [tex]y=-200-12(x)[/tex]
To Find:What is the y-value when x equals -16?
Solution:
We are given that You're studying different function tools and begin working with this function:
[tex]y=-200-12(x)[/tex]
Now we are supposed to find the value of y when x is -16
So, substitute x = -16 in the equation
[tex]y=-200-12(-16)[/tex]
[tex]y=-200+192[/tex]
[tex]y=-8[/tex]
So, Value of y is -8
Hence the y-value when x equals -16 is -8
SOMEONE PLEASE HELP!!!!
Which area formula or formulas show(s) a joint variation?
I A=s^2
II A=pir^2
III A=l*w
Select one:
a. III only
b. II and III
c. II only
d. I, II, and III
Answer:
Step-by-step explanation:
A movie theater sold 422 tickets on Friday. On Saturday, they sold 518 tickets. What was the approximate percentage that ticket sales increased on Saturday?
You invest $3,756.00 and buy 100 shares of a company's stock. Their value increases by 12%. How much is each share worth?
Answer:
Each share worth is $42.0672 .
Step-by-step explanation:
As given
You invest $3,756.00 and buy 100 shares of a company's stock.
Their value increases by 12%.
12% is written in the decimal form
[tex]= \frac{12}{100}[/tex]
= 0.12
Share value increase = 0.12 × Investment cost
= 0.12 × 3756
= $450.72
Total value of shares becomes after increases of 12% = Share value increase + Investment cost .
Total value of shares becomes after increases of 12% = $3756+ $450.72
= $4206.72
[tex]Each\ shares\ worth = \frac{Total\ value\ of\ shares\ after\ increase\ of\ 12\%}{Number\ of\ shares}[/tex]
[tex]Each\ shares\ worth = \frac{4206.72}{100}[/tex]
Each shares worth = $42.0672
Therefore the each share worth is $42.0672 .
The table below represents an exponential function.
table represents an exponential function.
What is the interval between neighboring
x-values shown in the table?
What is the ratio between neighboring y-values?
In given table of exponential function,
The interval between neighboring x-values is of 1 unit.
The ratio is 4 between neighboring y-values
Observing given table.
To find interval between neighboring x-values . We have to take difference between consecutive x - values.
[tex]1-0=2-1=3-2=4-3=5-4=1[/tex]
Since, in every consecutive x- values , difference of 1 is present.
So, The interval between neighboring x-values is of 1 unit.
To find ratio between neighboring y-values , we have to take ratio of consecutive y - values.
[tex]\frac{4}{1}=\frac{16}{4}=\frac{64}{16}=\frac{256}{64}=4[/tex]
Thus, The ratio is 4 between neighboring y-values
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The triangle JKL shown on the coordinate grid below is reflected once to map onto triangle J'K'L': Triangle JKL is drawn on a 4 quadrant coordinate grid with vertices J is at 8, 1. K is at 5, 7. L is at 3, 4. If vertex L' is at (−3, 4), what are the coordinates of vertex J'?
Answer:
The vertex J' is at (-8,1).
Step-by-step explanation:
If is given that the triangle JKL reflected once to map onto triangle J'K'L'.
The vertices of the triangle JKL are J(8,1), K(5,7) and L(3,4). The vertex L'(-3,4).
[tex]L(3,4)\rightarrow L'(-3,4)[/tex]
It is in the form of
[tex](x,y)\rightarrow (-x,y)[/tex]
Since the y-coordinate remains same and the sign of x coordinate is changed. It shows the reflection across the y axis.
The vertices of image are,
[tex]K(5,7)\rightarrow K'(-5,7)[/tex]
[tex]J(8,1)\rightarrow J'(-8,1)[/tex]
Therefore the vertex J' is at (-8,1).
NEED HELP ASAP PLEASE!!!
which angles are corresponding angles? check all that aply
A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?
When a point in quadrant 2 is rotated 180 degrees counterclockwise, it will land in quadrant 4.
A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?
Begin in quadrant 2 (Q2).Rotating 180 degrees counterclockwise leads to the point's final position in quadrant 4 (Q4).a rectangle has sides 2x + 3 and x - 4. what is the perimeter of the rectangle
I need help with this problem and a few others
The circle shown below has ab and bc as its tangents: ab and bc are two tangents to a circle which intersect outside the circle at a point
b. if the measure of arc ac is 160°, what is the measure of angle abc? 80° 40° 60° 20°
Answer:
Answer: 20°
Step-by-step explanation:
how to solve for -5x^2-2x-6=-2 ?
help factoring trinomial
need 2 numbers when added = 5 and when multiplied = -24
answer is D
-3+8 = 5
-3*8 = -24
which of the following could be the equation of the graph shown below
Answer:
-4x+2y+-6 and y=3x-2
Find the probability that 4 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places.
The probability that 4 randomly selected people all have the same birthday, ignoring leap years, is 0.00000002 when rounded to eight decimal places.
Explanation:The problem is asking about the probability that 4 people, selected at random, all have the same birthday. Since we're ignoring leap years, each person can have a birthday on any of 365 days of the year. The probability that the first person has a birthday on any day of the year is 1, because there's no restriction on when their birthday can be. However, the probability that the second, third, and fourth people share this same birthday becomes much less.
Given that we've selected a specific day for the first person, the second person has a 1 in 365 chance (or approximately a 0.00274 chance) of having that same birthday. The same applies for the third and fourth person. Since each of these events is independent (meaning the outcome of the first event doesn't change the probability of the next event), we can find the total probability by multiplying the individual probabilities together: 1 (for the first person) * 0.00274 (for the second person) * 0.00274 (for the third person) * 0.00274 (for the fourth person) = 0.000000020500. To the eight decimal place, this becomes 0.00000002.
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Factor the polynomial below.
30x^2 + 15x^2 +10x
Find the sum of the first 15 terms of the series 4+16+64+256+...
A phone banking password consists of 2 letters followed by 4 digits. The letters B, I, S, and O are not used, and the last digit cannot be 0. How many different passwords are possible?
5,148,000
4,840,000
4,356,000
3,175,524
There are 4,356,000 different passwords are possible.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A phone banking password consists of 2 letters followed by 4 digits.
And, The letters B, I, S, and O are not used, and the last digit cannot be 0.
Hence, We can formulate;
Number of different passwords are possible are,
⇒ 22 × 22 × 10× 10 × 10 × 9.
⇒ 4,356,000
Thus, There are 4,356,000 different passwords are possible.
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Find the area of a regular hexagon with a 48-inch perimeter.
48√3 in2
96√3 in2
192√3 in2
in2 means inches squared
A cylinder is a type of prism.
true
false