Answer:
It will look like this
Step-by-step explanation:
The equation of line y = 4 / 5x + 8 / 5 can be represented on the basis of coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph attached below.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
-4x + 5y = 8
Write the line in slope intercept form as shown below,
5y = 4x + 8
y = 4 / 5x + 8 / 5
Put the random values of x and find y,
y = 4 / 5 × 0 + 8 / 5 (when x = 0)
y = 8 / 5
y = 4 / 5 × 1 + 8 / 5 (When x = 1)
y = 12 / 5
y = 4 / 5 × 10 + 8 / 5 (When x = 10)
y = 48 / 5
Plot the coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph and mark the points, joining all the points to get the line.
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What cube is a unit cube
What is the probability that the person is male or divorced
Answer:
3 and one third %
3.3333%
Step-by-step explanation:
Given the graphs of f(x) = 2x + 2 and g(x) = x - 2, find the solution to this system of equations:
Answer:
(-4,-6)
hope this helps !
What is the measure of n?
12
4
n
m
There is no attachment attached.
Simplify 6(4x - 3) show work plz
Answer:
24x-18
Step-by-step explanation:
To simplify this we will need to use the distributive property
we can start with
6*4x=24x
then we can do
6*3=18
and since their is a negative sign in the middle that is what we do, so it will be
24x-18
Can I please have brainliest :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Simplify 6(4x - 3)}[/tex]
[tex]\large\text{DISTRIBUTE}\downarrow[/tex]
[tex]\large\text{6(4x - 3)}[/tex]
[tex]\large\text{6(4x) + 6(-3)}[/tex]
[tex]\large\text{6(4x) = 24x}[/tex]
[tex]\large\text{6(-3) = -18}[/tex]
[tex]\large\text{\bf = 24x - 18}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf \huge 24x - 18 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
ITS AN EMERGENCY PLEASE HELP
Answer:
$9.80
Step-by-step explanation:
Remember that the way to find the mean of a data set is by adding together all the values, and dividing by the number of the values. So, in this case, you add the 5 values together and get 49. Since there are 5 values, you divide 49 by 5 and get 9.8, or in a real world-money situation $9.80.
A motorcycle is 90 inches long. A car is 75% longer than the motorcycle. How long is the car?
Which of the following expressions is equivalent to 32 ÷ 4• 4 ÷ 2 • 2?
Answer:
128
Step-by-step explanation:
32 ÷ 4• 4 ÷ 2 • 2
8 .4.2.2
128
Helpppppppppp fasttttttttttttttttttt
Answer:
first 2 , second 50, third 8
Step-by-step explanation:
find the value of x. round to the nearest degree.
Answer:
What you should do in this case is to use the following trinonometric relationship:
senx = C.O / h
Where
C.O: Opposite leg.
h: hypotenuse.
Substituting:
senx = (7) / (9)
Clearing x:
x = ASIN ((7) / (9))
x = 51.05755873
Answer:
The value of x is
x = 51 degrees.
Step-by-step explanation:
True or False: To calculate the amount of change, you must find the
difference between the new and original values. *
A carpenter needs to cut a 3.9 meter long piece of wood into 3 equal lengths. How long should each piece be in millimeters?
Answer:
1300
Step-by-step explanation:
Answer:
1300
Step-by-step explanation:
Simplify.
(5+squartrt3)2
25 + sqrtrt10
10 + 28sqrtrt3
28 + 10sqrtrt3
Answer:
Step-by-step explanation:
If the 2 is an exponent, it needs to be written as ^2.
(5+√3)² = 5² + 10√3 + 3 = 28 + 10√3
2. Rewrite the following as mixed fractions in simplest form.
a. 1,75
Step-by-step explanation:
question is not understandable bro i can't understand
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3
.
Answer:
y = -3x + 3
Step-by-step explanation:
use the formula y - y1 = m ( x - x1)
y - 3 = -3 ( x - 0)
y - 3= -3x
y = -3x + 3
Please help me I don’t understand
Answer:
x= 230
Step-by-step explanation:
since a circle is 360 degrees
x + 130 = 360
x= 360 -130
x=230
nine times the difference between 4 and a number is24.what is the number.
Answer:
9×24-4
216-4
212
Step-by-step explanation:
I am not sure, but it might help you
Answer:
n = [tex]\frac{4}{3}[/tex]
or (because the wording is kind of confusing)
n = [tex]\frac{20}{3}[/tex]
Step-by-step explanation:
9(4 - n) = 24
36 - 9n = 24
-9n = -12
n = [tex]\frac{4}{3}[/tex]
or (because the wording is kind of confusing)
9(n - 4) = 24
9n - 36 = 24
9n = 60
n = [tex]\frac{20}{3}[/tex]
There are 4 blood types, and not all are equally likely to be in blood banks. 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A person with type A blood can safely receive blood transfusions of type O and type A blood. If three donations are made, what is the probability that at least 1 of them can be safely used in a blood transfusion on someone with type A blood? 0.0138 0.4390 0.5610 0.9862
Answer:
0.9862.
Step-by-step explanation:
For each donation, there are only two possible outcomes. Either it can be safely used in a blood transfusion on someone with type A blood, or it cannot. The probability of a donation being safely used is independent of other donations, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Type A blood:
Can receive from type O(49%) and from type A(27%), which means that:
[tex]p = 0.49 + 0.27 = 0.76[/tex]
If three donations are made, what is the probability that at least 1 of them can be safely used in a blood transfusion on someone with type A blood?
Three donations mean that [tex]n = 3[/tex]
This probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.76)^{0}.(0.24)^{3} = 0.0138[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0138 = 0.9862[/tex]
The answer is 0.9862.
The probability that at least 1 of them can be safely used in a blood is 0.9862.
Since, A person with type A blood can safely receive blood transfusions of type O and type A blood.
Given that,
49% of donations are type O blood
27% of donations are type A blood
So, [tex]p=0.49+0.27=0.76[/tex] and [tex]q=1-0.76=0.24[/tex]
Where p represent probability of success and q represent probability of unsuccessful.
Now use Binomial distribution,
[tex]P(X=r)=n_{C}_rp^{r} q^{n-r}[/tex]
Here three donations, it means that, n = 3
We have to find that the probability that at least 1 of them can be safely used in a blood.
So, [tex]P(X\geq 1)=1-P(X=0)[/tex]
[tex]P(X=0)=3_{C}_0(0.76)^{0} (0.24)^{3}=0.0138[/tex]
[tex]P(X\geq 1)=1-0.0138=0.9862[/tex]
Thus, The probability that at least 1 of them can be safely used in a blood is 0.9862.
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An order of jelly beans contains 7,350 jelly beans. If each bag in
the shipment can hold 98 jelly beans, how many bags does the
jelly bean company need to use for the shipment?
Answer:
75
Step-by-step explanation:
7350/98 = 75
Show your work: 1/2x = 10
...............................
Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.
Show all your work and explain why the triangles are similar or why they are not
Please help and give a good explanation
Answer:
RM / RP = 10/18 = 5/9
RN/RQ = 7/21 = 1/3
Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.
Step-by-step explanation:
The triangles PRQ and MRN are not similar.
Similar triangles:Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:
∠R = ∠R
∠Q = ∠N
∠P = ∠M
The following proportion rule must apply below:
PR / MR = RQ / RN = PQ / MN
18 / 10 = 21 / 7
9 : 5 ≠ 3 : 1
Therefore, the triangles are not similar
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Samantha is 3 years older than her twin sisters. Next year the sum of age ages of all 3 sisters will be 45. how old is Samantha now?
A heavy rope, 50 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 120 ft high. Approximate the required work by a Riemann sum, then express the work as an integral and evaluate it.
Exercise (a)
How much work W is done in pulling the rope to the top of the building?
Exercise (b)
How much work W is done in pulling half the rope to the top of the building?
Answer:
Exercise (a)
The work done in pulling the rope to the top of the building is 750 lb·ft
Exercise (b)
The work done in pulling half the rope to the top of the building is 562.5 lb·ft
Step-by-step explanation:
Exercise (a)
The given parameters of the rope are;
The length of the rope = 50 ft.
The weight of the rope = 0.6 lb/ft.
The height of the building = 120 ft.
We have;
The work done in pulling a piece of the upper portion, ΔW₁ is given as follows;
ΔW₁ = 0.6Δx·x
The work done for the second half, ΔW₂, is given as follows;
ΔW₂ = 0.6Δx·x + 25×0.6 × 25 = 0.6Δx·x + 375
The total work done, W = W₁ + W₂ = 0.6Δx·x + 0.6Δx·x + 375
∴ We have;
W = [tex]2 \times \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= 2 \times \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 750[/tex]
The work done in pulling the rope to the top of the building, W = 750 lb·ft
Exercise (b)
The work done in pulling half the rope is given by W₂ as follows;
[tex]W_2 = \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 562.5[/tex]
The work done in pulling half the rope, W₂ = 562.5 lb·ft
Are these equivalent the the expression on the top right
Answer:
No
Yes
No
Yes
(choice 3 is a no)
What are the fourth, seventh, and tenth terms of the
sequence A(n) = 7 + (n - 1)(-3)?
Answer:
B
Step-by-step explanation:
fourth term
A(4)= 7 - ( 4-1)(-3)
=-2
seventh term
A(7)= 7 - (7-1)(-3)
=-11
tenth term
A(10) = 7 - (10-1)(-3)
= -20
im confused isn't there supposed to be three numbers
Answer:
m<S=63°
Step-by-step explanation:
The angle formed with the radius and a tangent is 90 degrees. (<T)
180-90-27=63
help plz ill give extra points
Books are identified by an International Standard Book Number (ISBN), a 10-digit code x1 x2...x10, assigned by the publisher. These 10 digits consist of blocks identifying the language, the publisher, the number assigned to the book by its publishing company, and finally, a 1-digit check digit that is either a digit or the letter X (used to represent 10). This check digit is selected so that \sum_{i=1}^{10} ix_i \equiv 0 \text{ mod } 11 and is used to detect errors in individual digits and transposition of digits.
a. The ISBN for a book is 1-32-794182- Q} where Q is the check digit. What is Q?
b. The ISBN of another book is 2-429-39M18-6. Find the digit M.
Answer:
[tex]Q = 1[/tex]
[tex]M = 2[/tex]
Step-by-step explanation:
Solving (a):
Given: 1-32-794182- Q
Required: Find Q
To do this, we first multiply each digit in descending order of 10.
So, we have:
[tex]Product = 1 * 10 + 3 * 9 + 2 * 8 + 7 * 7 + 9 * 6 + 4 * 5 + 1 * 4 + 8 * 3 + 2 * 2 + Q * 1[/tex]
[tex]Product = 208 + Q *1[/tex]
[tex]Product = 208 + Q[/tex]
Equate the modulus of the product by 11 to 0
[tex]Product \% 11 = 0[/tex]
[tex](208 + Q) \% 11 = 0[/tex]
The next number greater than 208 divisible by 11 is 209.
So, we have:
[tex](208 + Q) \% 11 = 209 \% 11[/tex]
Express 209 as 208 + 1
[tex](208 + Q) \% 11 = (208 + 1)\% 11[/tex]
By comparison:
[tex]Q = 1[/tex]
Hence, the checksum is 1
Solving (a):
Given: 2-429-39M18-6
Required: Find M
Apply the same step in (a)
So, we have:
[tex]Product = 2 * 10 + 4 * 9 + 2 * 8 + 9 * 7 + 3 * 6 + 9 * 5 + M * 4 + 1 * 3 + 8 * 2 + 6 * 1[/tex]
[tex]Product = 198 + 4M + 25[/tex]
[tex]Product = 223+ 4M[/tex]
Equate the modulus of the product by 11 to 0
[tex]Product \% 11 = 0[/tex]
[tex](223+ 4M) \% 11 = 0[/tex]
The next number greater than 223 divisible by 11 is 231.
So, we have:
[tex](223+ 4M) \% 11 = 231 \% 11[/tex]
Express 231 as 223 + 8
[tex](223+ 4M) \% 11 = (223 + 8) \% 11[/tex]
By comparison:
[tex]4M = 8[/tex]
Divide both sides by 4
[tex]M = 2[/tex]
The sum of a number times 8 and 23 is at most 26.
Use the variable b for the unknown number
Answer:
b ≤ 3/8
Step-by-step explanation:
Let the unknown number be b.
Translating the word problem into an algebraic expression, we have;
8b + 23 ≤ 26
Rearranging the equation, we have;
8b ≤ 26 - 23
8b ≤ 3
Dividing both sides by 8, we have;
b ≤ 3/8