Answer:
9x+17
Step-by-step explanation:
I took the test
Which of the following numbers are between 2/5 and 7/8
15/16
3/4
3/8
1/3
Jamal makes $12.00/hour and worked 9 hours today. What is his total pay? Don't forget to calculate overtime pay.
Answer:
He made $108 in 9 hours
Step-by-step explanation:
I first multiplied 12 by 9 and got 108
Answer:
$108
Step-by-step explanation:
12 x 9 = 108
$108/9 hours
y2=2x2−1 is a function
Answer:
what do you need to to know 1) what kind of function its or 2) whats the answer of y and/or x
I don’t know how to do this one.
Answer:
(a) The unit circle is centered at (0,0) with a radius of 1.
(b) The equation of a circle of radius r, with a center located at (0,0):
x²+ y² = r².
(c) (i) P(1,0)
(ii) P(0,1)
(iii) P(-1,0)
(iv) P(0,-1)
Step-by-step explanation:
Part (a)
The unit circle is centered at (0,0). This point is the origin.
The radius of the unit circle is 1
The term "unit" means "one", which describes the radius length.
=========================================================
Part (b)
The equation of the unit circle is x^2+y^2 = 1
The general equation of any circle is (x-h)^2+(y-k)^2 = r^2
In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.
=========================================================
Part (c)
The following four points are on the unit circle
(1,0)(0,1)(-1,0)(0,-1)As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.
For example, if we know x = 1, then...
x^2+y^2 = 1
1^2+y^2 = 1
1+y^2 = 1
y^2 = 1-1
y^2 = 0
y = sqrt(0)
y = 0
Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.
Find the distance and midpoint between the pair of points. A(-1, 0), B(2, -4)
Answer:
distance is 5
midpoint is (1/2,-2)
Step-by-step explanation:
A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
Answer: A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
sorry if it appears messy!!!
Step-by-step explanation:
The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.
A 2-column table with 5 rows. Column 1 is labeled x with entries 12 a m, 3 a m, 6 a m, 9 a m, 12 p m. Column 2 is labeled y with entries 6, 10, 6, 2, 6.
Which equation models the data in the table?
y = 6 sine (StartFraction pi Over 6 EndFraction x) + 2
y = 6 sine (StartFraction pi Over 6 EndFraction x) + 4
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 6
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 10
Answer:
c
Step-by-step explanation:
Modeling the data in the table is done via the equation y = 4 sine (pi/6x) + 6.
What is a cyclic pattern?Over a period of years, a cyclical pattern recurs with considerable regularity. Cyclical patterns are distinct from seasonal patterns in that they last across a number of years as opposed to only one year for seasonal trends.
Given, The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.
Table:
12 AM 6
3 AM 10
6 AM 6
9 AM 2
12 PM 6
from the general formula of wave
y = A sin(bx + c)
Substituting values in the equation from the graph attached below:
6 = A sin(0*b + c)......(1)
10 = A sin3b + c...(2)
6 = A sin6b + c......(3)
2 = A sin9b +c........(4)
Since -c/b is a phase shift of the graph
Thus
-c/b = 6
c = -6b
from equations 2 and 1
2* 6 = Asin(-3b) = -Asin3b
2 * 6 = Asin(-6b) = -Asin6b
2* 6/6 =sin6b/sin3b
1 = Cos3b
Thus b = π/6
from substitution in equations 3
6 = A sin6b + c
=> 6 = Asin 6* pi/6 + c
=> c = 6
[tex]\begin{table}[]\begin{tabular}{ll}12 AM & 6 \\3 AM & 10 \\6 AM & 6 \\9 AM & 2 \\12 PM & 6 \end{tabular}\end{table}[/tex]from substitution in equations 2
10 = A sin3b + c
A = 4
therefore, The equation that models data in the table is y = 4 sine (pi/6x) + 6.
Learn more about cyclic patterns here:
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#1.) What is the slope between point C and Point D? *Please Show All Work*
#2.) What is the equation of the line (Slope-Intercept Form: y = mx + b) that represents the climb from Point C to Point D? *Please Show All Work*
#3.) What is the domain and range the C to D part of the roller coaster?
Answer:
1. [tex] m = slope = \frac{12}{7} [/tex]
2. [tex] y = \frac{12}{7}x [/tex]
3. Domain: 0≤x≤7
Range: 0≤y≤12
Step-by-step explanation:
1. Assuming 1 unit = 1 box on the grid, therefore, coordinates of C and D would be:
C(0, 0),
D(7, 12)
[tex] Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{7 - 0} = \frac{12}{7} [/tex]
2. Equation of the using the slope-intercept formula, [tex] y = mx + b [/tex], where,
[tex] m = slope = \frac{12}{7} [/tex]
b = y-intercept, which is where the line CD cuts the y-axis = 0
Plug in the values for m and b into the formula to get the equation of the line:
[tex] y = \frac{12}{7}x + 0 [/tex]
[tex] y = \frac{12}{7}x [/tex]
3. The domain for C to D part = all x-values = 0≤x≤7
The range = all y-values = 0≤y≤12
this week mr wooten spent $30 for hot dogs and supplies. he earned $18. did he make money or did he loose money this week
Answer:
lost 12
Step-by-step explanation:
Is 835% less than 0.95
Answer:
no, 835% is not less than 0.95.
Step-by-step explanation:
as a percentage, 0.95 is 95%. 835% is greater than 95%. hope this helps.
Answer:
No
Step-by-step explanation:
835% as a decimal would be 8.35 and 0.95 is what you are comparing it to, so you could look at it's whole number and you see that it is bigger than zero so it is indubitably more than 0.95.
Hope this helps :)
HELP FAST PLZ!!!!!! (07.01)
What is the value of x in the equation 8 + x = 37
O -5
O 5
O 11
O 24
Answer:
x = 29
Step-by-step explanation:
8 + x = 37
Subtract 8 from each side
8-8 + x = 37-8
x = 29
factor the equation 25+10x+x^2
Step 1:
[tex]25+10x+x^2[/tex]
Let's split split 10x to factorise
Step 2:
[tex] = 25 + 5x + 5x + {x}^{2} [/tex]
Step 3:
[tex] = 5(5 + x) + x(5 + x)[/tex]
Step 4:
[tex] \green{= (5 + x)(5 + x)✓}[/tex]
________________________Best regards!
★Dull Star★
Answer:
(x+5)(x+5)
Step-by-step explanation:
Let's arrange it in a proper manner first of all.
x² + 10x + 25Step: Spilt 10x in order to factorize it.
x² + 10x + 25
0r, x² + 5x + 5x + 25
Step: Make two pairs from equation
x² + 5x + 5x + 25
0r, x(x+5) + 5(x+5)
Step: Take common thing from the given equation
x(x+5) + 5(x+5)
0r, (x+5)(x+5)
Hence, (x+5) and (x+5) are the factor for the given equation.
juan reads 300 pages in 5 days and jose reads 150 in 3 days are these reading rates equivalent
Answer:
60 pages per day.
Step-by-step explanation:
300 ÷ 5 = 60.
If a varies inversely with b, and a=20 when b=14, find the equation that relates a and b.
Answer:
ab = 280
or
a = 280/b
Step-by-step explanation:
Inverse variation is of the form
xy = k
Since we have a and b as our variables
ab = k
20 *14 = k
280 = k
ab = 280
Sometimes they write it as
a = 280/b
Suppose a university advertises that its average class size is 32 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 40 classes was selected, and the average class size was found to be 34.8 students. Assume that the standard deviation for class size at the college is 99 students. Using α=0.10, complete parts a and b below.a. Does the student organization have enough evidence to refute the college's claim?Determine the null and alternative hypotheses.Upper H 0H0:μ▼Upper H 1H1:μ▼
Answer:
a
The student does have enough evidence to refute the college claim
b
The null hypothesis is [tex]H_o : \mu \le 32[/tex]
The alternative hypothesis is [tex]H_a : \mu > 32[/tex]
Step-by-step explanation:
From the question we are told that
The average class size is [tex]\mu = 32[/tex]
The sample size is [tex]n = 40[/tex]
The sample mean is [tex]\= x = 34.8[/tex]
The standard deviation is [tex]\siigma = 99[/tex]
The significance level is [tex]\alpha = 0.10[/tex]
The null hypothesis is [tex]H_o : \mu \le 32[/tex]
The alternative hypothesis is [tex]H_a : \mu > 32[/tex]
Generally the test statistics is mathematically represented as
[tex]z =\frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{34.8 - 32}{ \frac{99 }{\sqrt{99} } }[/tex]
=> [tex]z = 0.1789 [/tex]
Generally the p-value is mathematically represented as
[tex]p- value = P (Z > 0.1789)[/tex]
From the z- table
[tex] P (Z > 0.1789) =0.42901 [/tex]
So
[tex]p- value = 0.42901 [/tex]
So from the calculation we can see that [tex]p- value > \alpha[/tex] so we fail to reject the null hypothesis
This means that the student does not have enough evidence to refute the college claim
what is the total of 87,326;17 and 60
Answer: 490
Step-by-step explanation: 87+17+60+326 = 490
True or False: 0/2=2/0
Answer:
it's true 0 divided by 2 is 0 and 2 divided by 0 is still 0
Solve for a. -2(a-3)=12
Answer:
a=9
Step-by-step explanation:
Answer:
-2a+6=12
-2a=12-6
-2a=6
-2a=6
Divide both sides by -2a
a=-3
Step-by-step explanation:
Please help its vocab matching
Answer:
1. S
2. G
3. I
4. O
5. P
6. D
7. C
8. F
9. J
10. Q
11. E
12. K
13. R
14. A
15. B
16. N
17. M
18. L
19. H
Step-by-step explanation:
4. O
→ 3 is a coefficient of 3x
5. P
→ 3 is a common factor in the expression 3x+9
6. D
→example of a constant term is 1,3,10
7. C
→ [tex]cosx=\frac{adjacent}{hypotenuse} =\frac{A}{H}[/tex]
8. F
→[tex]x^{2} -4[/tex] will be factorised as (x-2)(x+2)
9. J
→ example of an expression is [tex]2x+9[/tex]
10. Q
→ factors of 3 are 3×1.
11. E
→ example of factoring is [tex](x+2)(3x+4)[/tex]
12. K
→ example of a factored completely is [tex]2x(x+y)[/tex]
14. A
→example of a polynomial is [tex]3yx^{3} +xy^{2} -2x+9[/tex].
15. B
→ example of a quadratic expression is [tex]x^{2} +6x-9[/tex].
17. M
→ [tex]sinx=\frac{opposite}{hypotenuse} =\frac{O}{H}[/tex]
18. L
→ [tex]tanx=\frac{opposite}{adjacent} =\frac{O}{A}[/tex]
19. H
→ example of a term is 2x,3,40
What is the factored form of this expression? 4x^3 - 8x^2 - 9x + 18
A. (2x + 3)(2x - 3)(x - 2)
B. (2x + 3)(2x + 3)(x - 2)
C. (2x + 3)(2x - 3)(x + 2)
D. (2x - 3)(2x - 3)(x - 2)
Answer: D
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).
Option A is the correct answer.
(2x + 3)(2x - 3)(x - 2).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4x³ - 8x² - 9x + 18
We will check the expression in factor form:
A.
(2x + 3)(2x - 3)(x - 2)
(2x + 3) (2x² - 4x - 3x + 6)
4x³ - 8x² - 6x² + 12x + 6x² - 12x - 9x + 18
4x³ - 8x² - 9x + 18 ____(1)
B.
(2x + 3)(2x + 3)(x - 2)
(2x + 3) (2x² - 4x + 3x - 6)
4x³ - 8x² + 6x² - 12x + 6x² - 12x + 9x - 18
4x³ + 4x² - 15x - 18 ____(2)
C.
(2x + 3)(2x - 3)(x + 2)
(2x + 3) (2x² + 4x - 3x - 6)
4x³ + 8x² - 6x² - 12x + 6x² + 12x - 9x - 18
4x³ + 14x² + 3x - 18 ____(3)
D.
(2x - 3)(2x - 3)(x - 2)
(2x - 3) ( 2x² - 4x - 3x + 6)
4x³ - 8x² - 6x² + 12x - 6x² + 12x + 9x - 18
4x³- 20x² + 33x - 18 ____(4)
From (1), (2), (3), and (4) we see that,
(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).
Option A is the correct answer.
Learn more about expressions here:
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Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15
Options:
4 - 7x = 15
4 - 4x = 15
12 - 7x = 15
PLEASE, I'm begging you, PLEASE explain step-by-step how to get to your answer. Please don't just give me the answer and not explain anything, I'm begging you
6 - (3x+10) + 4(2-x)=15
6- (3x +10) + 8-4x = 15. ( opening brackets)
-3x - 4x= 15 - 6-8. ( keeping all x terms on left and moving numbers to the right)
-7x = 1
x= 1/-7
Hope this helps:)
I REALLY NEED HELP AND FAST!
Kendra earned a total of $368 for 46 hours of yard work. After doing a total of 115 hours of yard work, how much money will Kendra have earned? Assume the relationship is directly proportional.
Answer:
With ignoring the last sentence the answer is 920.
Step-by-step explanation:
115/46=2.5
2.5*368=920
Simplify.
6 ( to the power of 2 )+4 ( to the power of 2
12
20
52
100
Answer:
6 times 6 = 12 + 4 times 4 = 16 so 12 + 16 =28
Step-by-step explanation:
for the inequality Y
Step-by-step explanation:
Ur qsn is so confusing can you plz rewrite it
Can someone help me please
Answer:
reghfjkvbnerfnhdbetuigkjoghbnurhjeuiogwr4th
Step-by-step explanation:
Find the exact value of Cosine (alpha minus beta) given sine (alpha) = negative four-fifths= and cos (beta) minus StartFraction 5 Over 8 EndFraction = for α in Quadrant III and ß in Quadrant II.
Answer:
Actual answer is [tex]\frac{15-4\sqrt{39} }{40}[/tex]
Step-by-step explanation:
Determine the intercepts please be sure
Answer:
X= (-40, 0)
Y= ( 0, 15
Step-by-step explanation:
Goodluck :)
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА,
f(x) = (x-6)(x-4)
OB.
fx) = (x-6)(x + 4)
fx) = (x + 6)(x + 4)
OD.
AX) = (x + 6)(x-4)
Algebra
M bisects QP, and QP = 27.4. Find QM.
Answer:
13.7
Step-by-step explanation:
All you need to do is divide by 2, hope this helped!
Answer:
QM = 13.7
Step-by-step explanation:
Step 1:
QP ÷ M = QM Def. of ∠ bisector
Step 2:
27.4 ÷ 2 Input Values
Answer:
13.7 Divide
Hope This Helps :)
a student claims 3.657 is a rational number. which statement is correct
Answer:
poope
Step-by-step explanation:
dhishd ok wbeiebeijfid djdiixe
Answer:
Step-by-step explanation:
The student is correct because the number has decimal expansion that repeats.