Answer:
The equation of the parallel line will be y = -2.5x - 8.
Step-by-step explanation:
First things first, let's rearrange the line equation provided into a more standard form:
[tex]5x + 2y = 14[/tex]
[tex]5x - 14 = -2y[/tex]
[tex]\frac{5x - 14}{-2} = y[/tex]
[tex]y = -2.5x + 7[/tex]
Therefore, we can see that this line has a slope (the coefficient preceding x) of -2.5. The parallel line must therefore also have a slope of -2.5.
Now, let us set the y-intercept of the parallel line to be (0, a) (since it must be on the y-axis).
If we factor in all of this, we get the equation:
[tex]\frac{a-(-3)}{0-(-2)} = -2.5[/tex]
Remember, the slope is found by dividing the vertical difference with the horizontal difference.
[tex]a - (-3) = -2.5(0+2)[/tex]
[tex]a + 3 = -5[/tex]
[tex]a = -8[/tex]
Hence, the equation of the parallel line will be y = -2.5x - 8.
Hope this helped!
HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
can consider the polygon shown. determine the value of y
Answer:
64
Step-by-step explanation:
You can figure it out by adding all the interior angles.
(180-75=105º)
(180-67=113º)
105+113+90=308º
The sum of interior angles is (n-2) × 180 so the sum in his case is
(5-2) ×180=540º
540º-308º=232º
However that is the sum of the two angles but since the angles are the same size, we can divide by 2
232º÷2=116º
We must remember that this is an interior angle so we now can calculate the value of y
180º-116º=64º
During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.
Answer:
t think the answer is 1040.
how many 1/4 doses can be drawn from a 7 and 1/2 vial of medication
Answer:
30
Step-by-step explanation:
7 1/2 is 15/2 as an improper fraction
15/2 ÷ 1/4 = 15/2 · 4 which is 30
Answer:
30 doses
Step-by-step explanation:
convert 7 1/2 into an improper fraction: 15/2
multiply it by 2/2 to have a common denominator: 30/4
A random sample of vehicle mileage expectancies has a sample mean of x¯=169,200 miles and sample standard deviation of s=19,400 miles. Use the Empirical Rule to estimate the percentage of vehicle mileage expectancies that are more than 188,600 miles.
____%
Answer: 16%
Step-by-step explanation:
.....................................:.
Answer:
..........................................................................................................................................................................
Answer:
um..BG should also be equal to 12 I guess
A ladder is put against a building. The building is 25 feet tall. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.
Answer:
correct me if i'm wrong but it's 57.32 degrees?
Pls help I’ll brainlest
Answer:
A
Step-by-step explanation:
5 x 10^4/2.5 x 10^2
10^2 gets cancel out by 10^4
5 gets divided by 2.5 which equals 2
Leaving us with 2 x 10^2
Answer:
A
Step-by-step explanation:
2 x 10^2
Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
(f - g)(x) and express the result in standard form.
Answer:
[tex](f-g)(x)=x^2-4x-21[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2-3x-28\text{ and } g(x)=x-7[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(x^2-3x-28)-(x-7)[/tex]
Distribute:
[tex]=x^2-3x-28-x+7[/tex]
Rearrange:
[tex]=(x^2)+(-3x-x)+(-28+7)[/tex]
Hence:
[tex](f-g)(x)=x^2-4x-21[/tex]
a point has the coordinates (0,k) what is reflection of the point will proceed in a image at the same coordinates (0,k)
Answer:
A reflection of the point across the y-axis
What's the area of this yellow surface? pick one of the options.
I need the steps if possible:)
Answer:
3/6=1/2
Step-by-step explanation:
There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6
Therefore, the probability of rolling an even number is 3/6 or 1/2.
can someone please help me with this question
Answer:
3/5 * 5/6
= 15/30
Step-by-step explanation:
So the answer is the third one in line
Answer:
15/30 (simplified).
Step-by-step explanation:
[tex]3/5*5/6[/tex]
To multiply the find the value of this problem, multiply the numerators and denominators.
Remember, numerators are the numbers above the fraction bar.
Denominators are the numbers below the fraction bar.
Numerators: 3, 5
Denominators: 5, 6
[tex]3*5=15[/tex]
[tex]5*6=30[/tex]
After finding the products, add the fraction bar.
[tex]15/30.[/tex]
In most cases, you will be asked to simplify. It does not seem like simplifying is required in this question.
But, I'll simplify anyway.
15/30 = 1/2 (simplified).
What is a statistical error?
Answer:
Statistical error is the difference between the estimated or approximated value and the true value.
Two Possible Types of Statistical Error
Type I Errors occur when we reject a null hypothesis that is actually true; the probability of this occurring is denoted by alpha (a).
Type II Errors are when we accept a null hypothesis that is actually false; its probability is called beta (b).
Example
You test whether a new drug intervention can alleviate symptoms of an autoimmune disease.
A Type I error happens when you get false positive results: you conclude that the drug intervention improved symptoms when it actually didn’t. These improvements could have arisen from other random factors or measurement errors.
A Type II error happens when you get false negative results: you conclude that the drug intervention didn’t improve symptoms when it actually did. Your study may have missed key indicators of improvements or attributed any improvements to other factors instead.
Classify the triangle shown below.
ضع تصنيفا للمثلث الموضح أدناه.
11 cm
3 cm
13 cm
Answer:
Scuse me what the flip
I’ll mark brainliest
Answer:
A.) y = -7/4x - 7
Step-by-step explanation:
The line's slope is -7/4 and its y-intercept is located at the point (0, -7).
Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned it to the bag. She repeated this experiment 20 times.
how many blue marbles are in the bag?
Select one:
6
30
15
20
Answer:
20 is it's right answer I think ok
The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
Answer:
2022 students
Step-by-step explanation:
15:1
? :179
?=179×15
=2685
2685-663=2022
Answer:
2022 students
Step-by-step explanation:
15:1
?:179
?=179×15
=2685
2685-663
=2022
the total number of second-, third-, and fourth-year students are 2022 students.
Please help !!!!!!!!!!!!!!!!!
(please help me with these)
Draw the figures with the following dimensions. Then, solve for the missing terms.
9514 1404 393
Answer:
V = 125 m³l = 7.5 cmStep-by-step explanation:
You have not told us the sort of figure you're supposed to draw. If these are cuboids, then their drawings are substantially similar to the one shown in the attachment. Your figures may need to show the units on each of the dimensions.
1. A cube with edge lengths of 5 m has a volume of ...
V = s³
V = (5 m)³ = 125 m³
__
2. A cuboid with the given volume and other dimensions has a length of ...
V = lwh
675 cm³ = l(9 cm)(10 cm)
675 cm³/(90 cm²) = l = 7.5 cm . . . . . . . . divide by the coefficient of l
he monthly sales of furniture stores in Dubai were collected and summarized. The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively. The distribution of the monthly sales is
symmetrical.
none of the above.
positively skewed.
negatively skewed.
Given:
The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively.
To find:
The distribution of the monthly sales.
Solution:
We know that,
For symmetrical distribution, mean is equal to median.
For positively skewed distribution, mean is greater than median.
For negatively skewed distribution, mean is less than median.
We have,
Mean of the monthly sales = 130,000 AED
Median of the monthly sales = 170,000 AED
Here, Mean is less than the median because 130,000 < 170,000.
Therefore, the distribution is negatively skewed. Hence, the correct option is D.
Find the exact value of tan A in simplest radical form
Answer:
tan A = 4 / 7
Step-by-step explanation:
tan A = opp side / adjacent side
tan A = 4 / 7
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
10 15 20
30
55
HI
Town B
5
20
30
40
55
H
0 5
10
15
20
45
50
55 60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the centers?
O A. The median for town A, 30°, is less than the median for town B,
40°
B. The mean for town A, 20°, is less than the mean for town B, 30°
C. The median for town A, 20°, is less than the median for town B,
30°
O D. The median temperature for both towns is 30°.
Answer:
The answer is:
C. The median for town A, 20°, is less than the median for town B, 30°.
Step-by-step explanation:
Median is the middle (center) value.
Option (C) the median for town A, 20°, is less than the median for town B, 30°.
What is box plot?Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
For the given situation,
The diagram shows the box plot of the daily low temperatures for a sample of days in two different towns.
From the box plot, the median of town A is 20° and the median of town B is 30°.
From the data,
⇒ [tex]20 < 30[/tex]
Hence we can conclude that option (C) the median for town A, 20°, is less than the median for town B, 30°.
Learn more about box plot here
https://brainly.com/question/12591498
#SPJ2
Evaluatef(x) = 2.5x-11 when x = 4
Answer:
-1
Step-by-step explanation:
f(4) = 2.5(4) -11
f(4) = 10 -11
f(4) = -1
If 81 is added to a number the result is 39 less than three times the number
let x =the number
Step-by-step explanation:
81+x=3x-39
group like terms
81+39=3x-x
120=2x
120/2=2x/2
60=x
therefore x =60
Answer:
60
Step-by-step explanation:
number is represented as x.
81 is added to a number is
81 + x
39 less than three times the number
3x - 39
So
81 + x = 3x - 39
Solve for x.
81 + x = 3x - 39 Add 39 to each side so 39 cancels on the right.
81 + x + 39 = 3x - 39 + 39
81 + x + 39 = 3x
81 + 39 + x = 3x
120 + x = 3x Subtract x from each side.
120 + x - x = 3x - x
120 = 3x - x
120 = 2x Divide each side by 2
120/2 = 2x/2
120/2 = x
60 = x
A construction worker wants to make a walkway out of concrete pads. Each pad will be
3 ft x 3 ft x 4 in. The walkway is to be 36 feet long and 3 feet wide. If concrete costs
$125 per yd, how much will the concrete for the walkway cost (plus HST)? The
construction worker has been told only whole cubic yards of concrete can be purchased,
part yd cannot be purchased.
9514 1404 393
Answer:
$250 +HST (HST is undefined here)
Step-by-step explanation:
It seems easiest to convert all linear dimensions to yards. A yard is 3 feet, or 36 inches, so each pad is 1 yard square by 1/9 yard thick. Then the volume of a pad is (1 yd)(1 yd)(1/9 yd) = 1/9 yd³.
The walkway is 12 yards long and 1 yard wide, so will require 12 pads.
The total volume of concrete required for the walkway is ...
(12 pads)(1/9 yd³/pad) = 12/9 yd³ = 1 1/3 yd³
Only whole cubic yards can be purchased, so 2 are needed.
The cost is ...
($125/yd³)(2 yd³) = $250 . . . cost of material for the walkway
__
The HST rate is not given here, so we cannot compute the amount of added tax.
Ack, sorry im gonna need a way to delete this lol.
Thanks to the people who tried.
ima need someone to delete this.
Find the surface area of the prism.
Answer:
D
Step-by-step explanation:
Base area = (leg 1 x leg 2)/2 = (9 x 12)/2 = 54 ft^2
Base perimeter = leg 1 + leg 2 + hypotenuse = 9 + 12 + 15 = 36 ft
LA= base perimeter x 24 = 36 x 24 = 864 ft^2
SA = 2 x base area + LA = 54 x 2 + 864 = 972 ft^2
How can the general term for the sequence shown below be defined for an, where n is a positive integer?
4, 11, 18, 25, ...
Answer:
25, 32
Step-by-step explanation:
4 - 11
7
11- 18
7
it is increasing by 7 so what is 25 plus 7?
32
What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)
I tried every combination. there seems to be something wrong with the informations you gave.
the second equation contains errors, and none of these 4 points can be solutions to the first equation alone
WILL MARK YOU IF YOU CAN HELP plz help me understand this to or add one of my socials to help me with geometry:(
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Snap:Toxicangelbby
Answer:
17x + 2 = 16x+6
17x-16x= 6-2
x=4
Answer:
5.21212121
Step-by-step explanation:
The first thing to keep in mind is that a line is equal to 180. The first thing you sould start off by doing is write 17x+2+16x+6. Then to make it easier combine the like terms. Both combine 17x + 16x to get 33x, and 6 and 2 to get 8. Now the problem should be 33x + 8 = 180. Next we will take away 8 from both sides. This should eliminate 8 for us and give us 33x=180 as our next problem. Finally you will do the opposite of multiplying which is diving. 33 divided by itself gives us 0. So we will divide 172 by 33 to get 5.21212121.
YOU MAY PLUG THIS NUMBER BACK IN TO CHECK YOUR ANSWER.