Line A passes through the points (-3,2) and (-23,54). Line B is parallel to line A and passes through the point (-8,0). Consider
the equation of line B in the form y= a (x + b), where a and b are rational numbers.
Answer:
Line A passes through (-3, 2) and (-23, 54)
slope of line A will be
[tex]m_{A} =\frac{y_{2}-yx_{1} }{x_{2}- x_{1} } = \frac{54-2}{-23+3} = \frac{52}{20}= \frac{13}{5}[/tex]
Equation of line A will be
[tex](y - y_{1}) = m_{A}(x-x_{1} )\\\\(y - 2) = \frac{13}{5}(x -(-3))\\\\(y - 2) = \frac{13}{5}(x +3))\\ \\\\5((y - 2) = 13(x +3))\\\\5y -10 = 13x + 39\\\\5y = 13x + 49[/tex]
Given line B is parallel to line A, So slope of A and B
[tex]m_{A} \cdot m_{B} = 1[/tex]
slope of line B will be
[tex]\frac{13}{5}\cdot m_{B} = 1\\\\m_{B} = \frac{5}{13}[/tex]
Also given line B passes (-8, 0), therefore the equation of line B
[tex](y-y_{B}) = m_{B}(x-x_{B} )\\\\(y - 0) = \frac{5}{13}(x + 8)\\\\y = \frac{5}{13}(x+8)\\\\[/tex]
Therefore,
[tex]a = \frac{5}{13} \ \ and \ b = 8[/tex]
When walking between rides and attractions, most people walk about 3000 feet in 15 minutes. What is the unit rate in feet per minute?
Use the long division method to find the result when 3x^3+23x^2+23x+6 is divided by 3x+2.
Answer:
x^2+7x+3 R0
Step-by-step explanation:
3x+2 | 3x^3+23x^2+23x+6
- 3x^3+2x^2 (x^2)
_____________________
21x^2+23x+6
- 21x^2+14x (7x)
______________________
9x+6
- 9x+6 (3)
_________________________________
0 | x^2+7x+3
Therefore, your quotient is x^2+7x+3
A rectangular book cover is 8cm long and 5cm wide.Find the area of a book cover
Answer:
26cm
Step-by-step explanation:
because you have to add 8cm+8cm +5cm+5cm=26cm
30 POINTS, NO LINKS, AND ANSWER RIGHT.
-15 = 8z + 7. what is the value of z
Can someone please Help me with this ?
Answer:
The answer is A
Step-by-step explanation:
t(x) = (x-4)(x-4)+3
t(x) = (x²-4x-4x+16)+3
t(x) = x²-8x+19
Which expression has a value greater than 43 ?
PLEASEEE HELP!
Answer:
7^2
Step-by-step explanation:
7*7=49
4^3=43
49>43
A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
Answer:
0.1319 or 13.2%
Step-by-step explanation:
You can solve this using the binomial probability formula.
The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.
Then, we can set the equation as follows:
P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k)
n=4, x=2, k=2
when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157
when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154
when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008
Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)
A salesman sold 345
iPods this month and
214 iPads. If he sells this
amount of iPods every
month for the next 12
months, how many iPods
will he sell?
Answer:
2568
Step-by-step explanation:
214x12=2568
consider the quadratic equation x^2 + 8x + k = 0 where k is a constant
Answer:
K = 16
Step-by-step explanation:
Shirley is 21 years older than Laura. In six years, Shirley will be twice as old as Laura. How old are they each now? Solve by first creating a system of equations and then solving the system of equations. Be sure to define clearly each variable used.
Answer:
7 1/4 years old I think
Step-by-step explanation:
Ahmad will spend at most $30 on gifts so far he has spent $13 what are the possible additional amounts he will spend?
Answer:
$15
Step-by-step explanation:
Budget = $30
Spent = $13
--------------------------
30 - 15 = $15
Ahmad will spend $15 additional dollars.
2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP
Answer:
5555555555555555555555555555555555555 trust
Step-by-step explanation:
You deposit $200 in an account earning 2% interest compounded annually how much will you have any account in 10 years
Answer:
$243.80
Step-by-step explanation:
You basically just multiply this by 1.02, then multiply the answer of that by 1.02, etc, until you did it 10 times in total. There is also the formula
P (1 + r/n)^(nt)
Where
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
What is the volume of the rectangular prism? A prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.
Answer:4
Step-by-step explanation:because 4
The low weekdays temperature for a city are shown
Enter the unlock number to unlock this door!
Find the volume of each shape. Then, form the unlock code by arranging the
letters of the shapes in order from greatest to least volume. (NOT drawn to scale!)
44 m
42 m
А
A
С
14 m
Base Area
32 m
17.25 m
72 m
V4 m
B
72m
D
9 34 m
E
5 m
372 m
Base Area = 26 73 m²
872 m
Your answer
I
Please fill out this field.
*See attachment below for the diagram
Answer:
DBECA
Step-by-step explanation:
Recall:
Volume of rectangular prism = Length*Width*Height or
V = Base area * Height
✔️Volume of A:
Length = ½ m
Width = ¼ m
Height = ¼ m
Volume of A = L*W*H = ½*¼*¼
= ¹/32 m³
= 0.03125 m³
✔️Volume of B:
Base area = 32 m²
Height = 7.25 m
Volume of B = base area * height
= 32*7.25
= 232 m³
✔️Volume of C:
Length = ½ m
Width = ¼ m
Height = ½ m
Volume of A = L*W*H = ½*¼*½
= ¹/16 m³
= 0.0625 m³
✔️Volume of D:
Length = 8½ m = 8.5 m
Width = 3½ m = 3.5 m
Height = 9¼ m = 9.25
Volume of A = L*W*H = 8.5 * 3.5 * 9.25
= 275.1875 m³ ≈ 275.2 m³
✔️Volume of E:
Base area = 26⅓ m² ≈ 26.33 m²
Height = 5 m
Volume of E = 26.33 * 5
≈ 131.7 m³
Arrange from greatest to the least volume:
D (275.2) > B (232) > E (131.7) > C (0.0625) > A (0.03125)
The answer code = DBECA
A grading scale is set up for 1000 students' test scores. It assumes the
scores are normally distributed with a mean score of 75 and a standard
deviation of 15.
How many students will score between 48 and 75?
hint: recall how to get the standard deviation. What does that mean in
this context? How could you use that to understand how many test
scores could be in one standard deviation?
464
Answer:
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.
This means that [tex]\mu = 75, \sigma = 15[/tex]
How many students will score between 48 and 75?
First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So
X = 75
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 75}{15}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
X = 48
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 75}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a p-value of 0.0359
1 - 0.0359 = 0.4641
Out of 1000:
0.4641*1000 = 464
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
c,d,e,f
Step-by-step explanation:
mark me brainliest
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
C, D, E, F
Step-by-step explanation:
hope this helps! #HappyCheating
please answer ive been waiting half hour
Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed
The subject is the idea,being or thing being discussed.
Should be "plant". Its the Main thing being discussed.
FREE POINT GIVE AWAY!!!!!! Just solve my equation 5*4+2=? (I already know the answer)
Answer:
22
Step-by-step explanation:
I did the math in my head sooo if it's wrong I know why
need help asappppppp
Answer:
for what
Step-by-step explanation:
Indicate in standard form the equation of the line passing through the given points.
X(0,6). Y(5,6)
Answer:
y = 6
Step-by-step explanation:
Let the y-intercept form of the equation of the line is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the passing through (0, 6) and (5, 6) will be,
m = [tex]\frac{6-6}{0-5}[/tex]
m = 0
Equation of the line with m = 0 will be,
y = 0 + b
y = b
Since, line passes through (0, 6),
By substituting the values in the equation,
b = 6
Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,
y = 6
Which number is the largest ?
-0.65, -0.622, -5/8
Answer: 0.622
step-by-step explanation
Answer:
-0.622.
Step-by-step explanation:
Convert -5/8 to a decimal:
= -0.625.
So the largest number is -0.622.
What is the volume of the rectangular prism above?
A.
1/15
B.
1/5
C.
1/12
D.
1/20
Answer: A
Step-by-step explanation:
HxWxL equals 4/60. 4/60 simplified is 1/15.
a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?
9514 1404 393
Answer:
85 ones70 fives15 tens2 fiftiesStep-by-step explanation:
Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...
a +5b +10c +50d = 685 . . . . . total amount of cash
b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens
a = b+c . . . . . . . . . . . as many ones as fives and tens combined
d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills
__
Substituting for 'a', then for 'b', we have ...
(b+c) +5b +10c +50d = 685
6(10 +4c) +11c +50d = 685
60 +35c +50d = 685
Substituting d=2 and subtracting 160 gives ...
35c = 525
c = 15
b = 10 +4c = 10 +4(15) = 70
a = b+c = 70 +15 = 85
The register contained ...
85 ones70 fives15 tens2 fiftiesPlease take a look at the picture then write an explanation to go with the answer.
Thank you :)
Answer:
5/8 inch
Step-by-step explanation:
Subtract
1 - 3/8 = 5/8 inch
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
do this to least to greatest risk how plz someone
Answer:
3,2,4,1,5
Step-by-step explanation:
I need help ☹️ anybody know if it’s a b c or d
Answer:
C
Step-by-step explanation:
7. The ordered pairs ((-1,-9), (5,9). (7.15)) are included in which function?
14
Answer:
C. y=3x-6
Step-by-step explanation: