y=2x+23
2x is the for the number of people added every month and 23 is for the number you start with
The equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
In slope-intercept form, an equation of a line is represented as y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (or the point at which the line crosses the y-axis).
Let's represent x is the number of months and y is the number of members.
The number of members y in x months is a linear function of the number of months, with a slope of 2 (the number of members added per month) and a y-intercept of 23 (the number of members at the beginning).
Thus, the equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23
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Solve the right triangle
Answer
measure of angle A: 28 degrees
BC ≈ 13.3
BA = 28.3
hope this helps
Step-by-step explanation:
angle A
90- 62 = 28
angle A = 28
BC
tan (A) = BC / 25
(25) tan 28 = BC / 25 (25) multiply 25 on both sides to cancel it out from BC
13.292735 = BC
BC ≈ 13.3
BA
BA^2 = 13.3^2 + 25^2 Pythagorean theorem
BA ≈ 28.3
If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)
Alejandra correctly wrote the equation y-3 = (x - 10) to represent a line that her teacher sketched. The teacher
then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra
write to represent the new line?
Answer:
The question which ask to select among the choices the equation that Alejandria should write to represent the new line where as the equation she wrote is y-3=x-10 and the answer would be that the form in this equation is y=x-13 and if the slope is 2 then it is y=2x-13
Step-by-step explanation:
plz mark me as brainliest
Which expression is equivalent to sqrt 36/25
Answer:
There are a lot of expressions that are equivalent to that, please be more specific.
Step-by-step explanation:
Write a quadratic function that has been translated 1
units to the right and 3 units down.
Step-by-step explanation:
Hi,
f(x) = (x - 1) - 3
The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)
And the -3 is not embedded with the x, meaning the function will move 3 units down.
I hope this helps :)
A car travels 160 miles in 4 hours. How many miles per hour does the car
travel?
Answer:
40 mph
Step-by-step explanation:
160÷4 = 40 miles per hour
Answer:
40miles per hour
Step-by-step explanation:
distance traveled/time spent=speed(velocity)
160/4=speed (velocity)
40mph
find the area of a polygon and show step by step explanation pls
Answer:
156
Step-by-step explanation:
6×12=72
7×12=84
72+84=156
friends help me out
state true or false
0 is the multiplicative inverse of 0?
Answer:
false
Step-by-step explanation:
I say false because the multiplicative inverse of 0 is undefined and the multiplicative inverse tells us that when you multiply a number by its inverse the product will be1 think the multiplicative inverse of 0 is undefined.
What are the solutions to this quadratic equation? 5x2-7x-18=0
Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
Step-by-step explanation:
The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
5x² - 7x - 18 = 0
Compared to the standard form ax² + bx + c = 0:
a = 5, b = -7 and c = -18
To find the solutions to the quadratic equation, we use the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]
Plug in the values and simplify:
[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]
Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
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According to the American Academy of Ophthalmology, 25% of Americans have brown irises. A random survey of students at a local community college found that 58 out of 175 had brown irises. What is the test statistic (ie the Z score) for this sample of students
Answer:
2.49
Step-by-step explanation:
Given X= 58
N = 175.
P = 25% = 0.25.
[tex]P' = \frac{X}{N} = \frac{58}{175} = 0.3314\\Z = \frac{P'-P}{\sqrt{\frac{pq}{N} } }[/tex]
Now plugging the values we get
[tex]= \frac{0.3314-0.25}{\sqrt{\frac{0.25\times0.75}{175} } }[/tex]
=2.49
A store is offering a discount of 15% on fishing rods what is the amount a customer will pay for a rod regularly priced at $25.00
Answer:
$21.25
Step-by-step explanation:
$25 x 0.85 = $21.25
Which of the following binomials is a factor of 22 + 7 −9 ?
A. − 3
B. + 1
C. 2 − 3
D. 2 + 9
Surface Area:Question 10
Lamar plans to paint the net above before folding it into a
triangular prism. What is the surface area he will paint?
13 cm
10 cm
Select one:
12 am
13 cm
840cm
20 cm
O
780cm
810cm
ОО
0 720cm
Answer:
Don't understand 12am like how
Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which statement proves how segments FG and EH are related?
Answer:
the slope of both lines are the same.
Step-by-step explanation:
Given the following segment of the Quadrilateral EFGH on a coordinate Segment FG is on the line 3x − y = −2,
segment EH is on the 3x − y = −6.
To determine their relationship, we can find the slope of the lines
For line FG: 3x - y = -2
Rewrite in standard form y = mx+c
-y = -3x - 2
Multiply through by-1
y = 3x + 2
Compare
mx = 3x
m = 3
The slope of the line segment FG is 3
For line EH: 3x - y = -6
Rewrite in standard form y = mx+c
-y = -3x - 6
Multiply through by-1
y = 3x + 6
Compare
mx = 3x
m = 3
The slope of the line segment EH is 3
Hence the statement that proves their relationship is that the slope of both lines are the same.
The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
-2 = 3x - y
- 2 - 3x = -y
y = 3x + 2
Thus, the slope of the equation is 3.
The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
3x - y = -6
-y = 6 - 3x
y = 3x+6
Thus, the slope of the equation is 3.
Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
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box plot review what is the minimum value?
Answer:
The minumum value is the Smalles numer.
Step-by-step explanation:
Minumum= Lowest number
Maximum= Highest number
Range= Minumum and Maximum multiplied/added togheter.
IQR= Interquartile range
At a recent meeting, the manager of a national call center for a major Internet bank made the statement that the average past-due amount for customers who have been called previously about their bills is now no larger than $20. Other bank managers at the meeting suggested that this statement may be in error and it needs to be tested. The file called Bank Call Center attached below, contains data for a random sample of 67 customers from the call center population. What should be conducted based on the sample data? Test using α = 0.10
Answer:
As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
Step-by-step explanation:
As the standard deviation for the past due amounts is 63
The sample size n= 67
1) Formulate the null and alternate hypothesis
H0: u ≤ 23 against the claim Ha: u > 23
2) The test statistics is
Z= x- u / σ/ √n
z= 20- 23/ 63/ √67
z= 0.00581
z= 0.006
3) The significance level ∝= 0.1
4) The critical value for ∝= 0.1 is Z > ±2.33
5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
Please help I’ll make you the brainiest
Answer:
Jesse is correct
step by step explanation:
Answer:
The best bet would be Jesse.
Step-by-step explanation:
give 4 rational number between 1/2 and 3/4
Answer:
11/20
3/5
7/10
13/20
Step-by-step explanation:
A rational number is a number that can be derived by dividing 2 whole numbers
1/2 = 0.5 0r 50%
3/4 = 0.75 75%
Between 50% and 75% are 51 - 74 which can be expressed as rational numbers
3/5 = 0.6
7/10 = 0.7
11/20 = 0.55
13/20 = 0.65
Which of the following sets of measurements CANNOT represent the three side lengths of a triangle? A 3 cm, 3 cm, 3 cm B 3 cm. 4 cm, 5 cm C 3 cm, 5 cm, 7 cm D 3 cm, 6 cm. 9 cm
Answer:
D. 3 cm, 6 cm. 9 cmStep-by-step explanation:
As here,
3 cm + 6 cm = 9cm. = 9cm
And as we know,
According to Triangle Inequality Property,
Measurement of any two sides of a triangle is always greater than the third side.
But here,
Sum of two sides is same as the third side,
So,
Option D is the required answer.
COME ONNNNN JSUT PLEASEE HELPPPPPPPPPPPP
Answer:
yeah sure
Step-by-step explanation:
Answer 9 : 1
Answer 10 : 8b²/3a³c³
Sophie invested 5,000 into an account that will increase in value by 2.3% each year. Write a function to model this situation, then find the value of the investment after 15 years
Answer:
$6725
Step-by-step explanation:
Given data
Princiapal= $5000
Rate=2.3%
Time= 15years
The function that will model this situation is given as
A=P(1+rt)
The above function is a simple interest function
Substitute our data we can find the amount A
A=5000(1+0.023*15)
A= 5000(1+0.345)
A=5000(1.345)
A=5000*1.345
A=$6725
Hence the value of the investment after 15 years is $6725
Find the GCF. (Greatest Common Factor) Use^ to show exponents if
needed. *
3x5 + 6x + 6
Answer:
the greatest common factor is 3
Abigail is 54. Inches tall which of the following is Abigail height
Answer:
4.5 feet
Step-by-step explanation:
One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:
Lin ran 29 meters in 10 seconds. she ran at a constant speed. At this rate, how far can she run in 1 minute
Answer:
2.9 per second
Step-by-step explanation:
TAKE HOME
1. Find the angle between the vectors:
i-23 + 5k and 3i+j - 2k
Answer:
The angle between the two vectors
∝ = 64°
Step-by-step explanation:
Step(i):-
Given that the vectors
[tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]
and
[tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]
[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]
= 3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)
= 3 - 2 -10
= -9
Step(ii):-
Let '∝' be the angle between the two vectors
[tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]
[tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]
∝ = cos⁻¹(0.4392) = 63.947
Final answer:-
The angle between the two vectors
∝ = cos⁻¹(0.4392) = 63.947
∝ = 64°
What is the value, in degrees, of x?
Answer:
x°=180-45-60=75°is your answer
Lainey bought a set of 20 markers for $6 sign
What is the cost of 1 marker?
Answer:
3 cents
Step-by-step explanation:
cost of 20 markers=$6
cost of 1 marker=?
Cost of 1 marker = 6/20 = 3/10 = 0.3
It costs 3 cents.
What's 65-70 days in weeks
Answer:
About 9-10 weeks
Step-by-step explanation:
70/7= 10
Answer:
9-10
Step-by-step explanation:
A function is defined by the rule f(x) = 11 - 2x. What is the value of f(-3) ?
Answer:
17
Step-by-step explanation:
11 - 2(-3) = 11 + 6 = 17
should put -3 where x is
A shopper bought 7 ears of corn and 6 pounds of bananas and paid $5.15. At the same store, another shopper bought 4 ears of corn and 1 pound of bananas and paid $1.85 . What is the price of an ear of corn?
Please help!
Answer:
$0.70 per ear of corn
Step-by-step explanation:
Let c = Ear of corn
Let b = pound of bananas
First shopper:
7c + 6b = $5.15
Second Shopper:
4c + 1b = $1.85
Solve one equation for b since you are solving for c:
4c + 1b = $1.85
b = $1.85 - 4c
Substitute into other equation:
7c + 6b = $5.15 <--- b = $1.85 - 4c
7c + 6 ($1.85 - 4c) = $5.15
7c + $11.1 - 24c = $5.15
-17c + $11.1 - $11.1 = $5.15 - $11.1
-17c /-17 = -$11.85 /-17
c = $0.70 per ear of corn
Leave a like and mark brainliest if this helped
PLEASE HELP!!!!!!!!!!!!! 50 POINTS!!!!!!
Here are four expressions that have the value -12:
-14+(-14)
12−1
-214
-12
Write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -34.
Answer:
only one has the value of -12
Step-by-step explanation:
like what
Question: Here are four expressions that have the value -12:
-14+(-14)
12−1
-214
-12
Write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -34.
Answer: That means reducing the expression to a numeric value, or its simplified form. ... Difference between algebraic expression and algebraic equation An algebraic expression is a ... SUBSTITUTION Any algebraic expression may have one or more variable. ... Take this one as an example Five times the sum of four and two.