The pair of equations, 4x - 6y = 12 and 6x + 4y = 12, represents a pair of perpendicular lines.
To determine if two lines are parallel, we compare the slopes of the lines. The slope-intercept form of a line is y = mx + b, where m represents the slope.
Let's rewrite the equations in slope-intercept form:
Equation 1: 4x - 6y = 12
Rearranging the equation, we have:
-6y = -4x + 12
Dividing by -6, we get:
y = (2/3)x - 2
Equation 2: 6x + 4y = 12
Rearranging the equation, we have:
4y = -6x + 12
Dividing by 4, we get:
y = (-3/2)x + 3
Comparing the coefficients of x, we see that the slopes of both lines are (2/3) and (-3/2). Since the slopes are not equal, the lines are not parallel. Instead, they are perpendicular to each other.
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What is the slope of the line shown in the graph?
Answer:
1/2
Step-by-step explanation:
from point to point, you rise by one and run to the right by two
therefore, slope = 1/2
PLEASE HELP!!
I don’t know how to solve Law of Sines, it doesn’t make sense to me.
I’ll award the brainliest!
help I will give brainiest if you do the last ones
CNNBC recently reported that the mean annual cost of auto insurance is 958 dollars. Assume the standard deviation is 144 dollars, and that the population is normally distributed. You will use a simple random sample of 99 auto insurance policies. Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations. Find the probability that a single randomly selected policy has a mean value between 934.8 and 965.2 dollars. P(934.8 < X < 965.2) = Enter your answer as a number accurate to 4 decimal places
Probability that a single randomly selected policy has a mean value between $934.8 and $965.2 is approximately 0.5819.
To find probability we can use the properties of the normal distribution.
Given,
Mean (μ) = $958
Standard deviation (σ) = $144
Sample size (n) = 99
We want to find the probability P(934.8 < X < 965.2). X represents the mean value of a randomly selected policy.
Calculate z-score for the lower value.
z1 = (934.8 - μ) / (σ / sqrt(n))
Calculate z-score for the upper value.
z2 = (965.2 - μ) / (σ / sqrt(n))
Cumulative probability between the z-scores.
P(934.8 < X < 965.2) = P(z1 < Z < z2)
If P(Z < z1) = 0.2658. P(Z < z2) = 0.8477. The probability of interest would be.
P(934.8 < X < 965.2) = P(z1 < Z < z2) = P(Z < z2) - P(Z < z1) = 0.8477 - 0.2658 = 0.5819
Probability that a single randomly selected policy has a mean value between $934.8 and $965.2 is approximately 0.5819.
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The school Amina goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
child = $14
senior = $8
Step-by-step explanation:
3s + c = 38
3s + 2c = 52
52 - 38 = 14
child = $14
3s + 14 = 38
3s = 24
divide by 3
senior = $8
How to find the arc length (geometry)
Answer:
94.2
Step-by-step explanation:
Arc length is basically circumference.
Circumference formula: 2πr
All we need is the radius.
Radius = r
15 x 2 = 30 (diameter)
Then we are going to multiply by pi.
Arc length = 30π OR 94.2
a boy has only dimes and quarters in his piggy bank. If he has 50 coins worth 7 dollars and 55 cents altogether, how many quarters does he have in his bank
Answer:
30.2
Step-by-step explanation:
a qurter is 25 and there is 100 cents in a dollar so u do 755 divided by 25
Complete the table for the given rule. 1 Rule: y = x 4 х y 1 4 13 4 2 을
Answer:What is the symbol at the end?
Step-by-step explanation:
Would you consider data on grades (of a particular class)
collected over two semesters to be cross-sectional or times series
data and why?
The data on grades (of a particular class) collected over two semesters would be considered as time series data.
Time series data refers to any set of data collected over time, where time acts as a variable in the data set. Time series data consists of repeated measurements of the same variable taken over regular intervals of time.
A time series is a collection of observations obtained by observing a single variable or a single data point over a certain period of time. Time series data are ordered sequentially and collected at evenly spaced intervals of time. In this question, the grades were collected over two semesters, which are considered a series of two data points that were collected over time. Hence, it is a time series data.
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The data on grades (of a particular class) collected over two semesters would be considered time series data whereas Cross-sectional data is a type of data that is collected at a particular point in time.
The data on grades (of a particular class) collected over two semesters would be considered time series data. This is because time series data is collected over time at regular intervals, and in this case, the data is collected over two semesters, which are specific periods of time.
Time series data is a type of data that is collected over time at regular intervals. This type of data is commonly used in various fields such as economics, finance, and statistics. Time series data is useful in identifying trends, seasonal patterns, and cycles within the data. It can also be used to predict future values based on the patterns that are observed within the data.
Cross-sectional data is a type of data that is collected at a particular point in time. This type of data is commonly used in surveys and opinion polls. Cross-sectional data is useful in identifying the characteristics of a particular group of people or entities at a particular point in time. It is also used to compare the characteristics of different groups of people or entities at the same point in time.
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Help me for more points right answer only
Answer:
slope- intercept form
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Someone help plz and make plz make sure it’s right? :)
Identify the volume the solid of revolution that is produced when
a rectangle with length 6 and width 3 is rotated around one of its
shorter sides.
Answer:
Step-by-step explanation:
Please see picture. Which statement must be true?
Choose C.
x^2 = a/b must be true.
Adrian can purchase an 11-pound item from several different sellers. Which is the best buy?
1. Buy online for $50 plus pay shipping and handling costs of $0.89 per pound.
2. Buy online for $57 plus pay shipping and handling costs of $0.49 per pound.
3. But at a local store where the price is $60 and use a $5-off coupon.
4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off
Answer:
4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off
Step-by-step explanation:
For the sake of someone needing help present time this is how you do it;
1st- 50 + (.89 x 11) = 59.79
2nd- 57 + (.49 x 11) = 62.39
3rd- 60 - 5 = 55
4th- 58 - 10% or 58 x .10 = 52.2: Lowest Answer
which of the following expressions are equivalent to -2/3? select all that apply
A. -1/9 x 6
B. -15 ÷ 10
C. 12 ÷ -18
D. -3/4 ÷ 1/2
E. -8/9 x 3/4
Answer:
A.
C.
E.
Step-by-step explanation:
A
-1/9×6=
-1/9×6/1= -6/9 = -2/3
B
-15 ÷ 10
-15/1 ÷ 10/1
-15/1 × 1/10 = -15/10 = -3/2
C
12 ÷ -18 =
12/1 ÷ -18/1 =
12/1 × -1/18 = -12/18 = -2/3
D
-3/4 ÷ 1/2 =
-3/4 × 2/1 = -6/4 = -3/2
E
-8/9 × 3/4 = -24/36 = -2/3
2. A cereal box is in the shape of a rectangular
prism. What is the volume of the cereal box?
Express your answer as a decimal rounded
to the nearest tenth if necessary.
Answer:
169.8 or 169 4/5
Step-by-step explanation:
Times all of the numbers together
The volume of a rectangular prism can be written as 168 cubic in
What is the volume of a rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism=Length X Width X Height
WE are given the dimensions as;
length= 8 in
Width = 1 3/4 = 7/4
Height = 12 1/8 = 96/8 in
Thus, the volume of a rectangular prism can be written as:
8 x 7/4 x 96/8
= 168 cubic in
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true or false inequalities have many solutions and equations have one solution
Answer:
Step-by-step explanation:
Like systems of equations, system of inequalities can have zero, one, or infinite solutions.
Answer:
Yes this is true..............................................................................................................................
52 )7,696 with reminder
Find the perimeter of the polygon if
5 cm
6 cm
7 cm
P = ? Cm
Answer:
(2) is the answer for your question
Please someone help it confusing
1.false2.false3.true4.true5.true
I need this answered quickly!
Please and Thank you!
Answer:
A
Step-by-step explanation:
-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.
Some instructions for the time it takes to roast a turkey are: allow 20 minutes for every 450g
How long will it take to roast a turkey that weighs 6.3 kg?
Give your answer in hours and minutes.
please show work out <3
Answer:
4 hours and 40 minutes
Step-by-step explanation:
450g = kg
450g = 0.45 kg
We will use ratios:
[tex]\frac{20}{0.45} =\frac{x}{6.3} \\\\0.45x=126\\x=280[/tex]
280 mins =
4 hours and 40 minutes
4(60) + 40
240 + 40
280
Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
What is m∠U?
A. 17
B. 29
C. 46
D. 134
Answer:
D.46
Step-by-step explanation:
180-46-29= 105
angle V, 46 degree, and T= equal 180
105= V
t= 29
v+t+u= must equal 180 because all triangle equal 180 degrees
105+29+u=180
u=-105-29+180
u=46
The diameter of a semicircle is 10 meters. What is the perimeter of the semicircle, in meters? Round your answer to the nearest tenth.
Answer:
25.7 m
Step-by-step explanation:
The formula for the circumference of a circle is C = 2(pi)(r), where r is the radius, which in turn is half the diameter. Thus, the formula for the circumference is C = (d)(pi). The perimeter of a semicircle is half that, or
C = (pi)(r), which here is (3.14)(5 m) = 15.7 m. Finally, the total perimeter is the sum of this 15.7 m and the 10 m diameter of the circle:
P = 15.7 m + 10 m = 25.7 m
Write the number for thirteen million thirty thousand
Answer:
13,030,000
Step-by-step explanation:
write first the value for thirteen millions,
13,000,000 and then also put down the thirty thousand which is; 30,000. afterwards add the two
13 000 000
+ 30 000
=. 13 030 000
Answer:
13,030,000
Step-by-step explanation:
13,000,000
+ 30,000
13,030,000
Suppose there are 8 boys and 7 girls in a classroom. If one student is chosen at random to run a errand. What is the probability that the student will be a girl?
Answer:
47%
Step-by-step explanation:
There are 15 total students, so find the percentage of girls out of the total students: 7/15= .466, which is about 47%. To double check, you can do the boys and make sure it adds to 100%. 8/15= .533, which is about 53%. 47+53=100. So girls are 47% and boys are 53%
can someone please answer these
*will give brainliest if you answer all* AND NO LINK
Answer:
Rectangular Prism → h = 2in
B = 143in
P = 48in
Surface Area = 382in²
Lateral Surface Area = 96in²
Triangular Prism → h = 7in
B = 20in
P = 27in
Surface Area = 229in²
Lateral Surface Area = 189in²
Triangular Prism → h = 10in
B = 120in
P = 60in
Surface Area = 840in²
Lateral Surface Area = 600in²
Step-by-step explanation:
Formulas: Total Surface Area = 2B = Ph
a²+b²=c²
Area = [tex]\frac{1}{2}[/tex]bh
Lateral Area = Ph
PLUG NUMBERS INTO FORMULA. (I'm too lazy to type it all out lol)
Decide whether the composite functions, fog and gof, are equal to x. f(x) = * 1,5 g(x) = 2x - 5 - +5 2 O No, no O Yes, yes O Yes, no O No, yes.
No, neither fog nor gof is equal to x. The expressions fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5 have different constant terms, indicating that they are not equal to x. The correct option is O (No, no.)
To determine whether the composite functions, fog and gof, are equal to x, we need to evaluate them using the functions f(x) = 1/5x and g(x) = 2x - 5.
First, let's calculate fog:
fog(x) = f(g(x)) = f(2x - 5) = 1/5(2x - 5) = 2/5x - 1
Next, let's calculate gof:
gof(x) = g(f(x)) = g(1/5x) = 2(1/5x) - 5 = 2/5x - 5
Comparing fog and gof, we can see that they are not equal to x. Specifically, fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5.
Therefore, the correct option is "No, no" as neither fog nor gof is equal to x.
Alternatively, if we simplify fog and gof as a single expression, we have fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5. Since both expressions have different constant terms, they cannot be equal to x.
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Please help me on this question if you would want brianleist!! Tank yah!! ^^
Answer: And the answer is b 6,7
Step-by-step explanation:
Did you meant “Please help me on this question if you would want brainliest!! Thank you!!”
Find the area of the following figure below. Use 3.14 for pie
Answer: 113.1 i think sorry im bad at pi U_U
Step-by-step explanation:
Answer:
113.04
Step-by-step explanation:
Where rinding area so do the formula
A = Pi×r²
A = 3.14×36
A= 113.04