Answer: π
Step-by-step explanation:
The standard form of a secant equation is: y = A sec(Bx - C) + D where
A = AmplitudePeriod (P) = 2π/BC = Phase Shift D = vertical shift (also the center line)Given: F(x) = 2 sec(2x + 3)
↓
B=2
Period = 2π/B
= 2π/2
= π
Sandy had test scores of 20, 25, 17, 22, and 21. What is the average (mean) score. On the next 3 test Sandy's score were 24, 24, and 23. What is her mean now?
Answer:
a) First Average mean = 21
b) Current mean = 22
Step-by-step explanation:
Formula For mean =
Sum of Terms/ Number of terms
a)Sandy had test scores of 20, 25, 17, 22, and 21.
Number of terms = 5
Mean = (20 + 25 + 17 + 22 + 21)/5
= 105/5
= 21
b) On the next 3 test Sandy's score were 24, 24, and 23
To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.
Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8
Mean = 176/8
Mean = 22
i need help with this question please :(
Answer:
C
Step-by-step explanation:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]
Use the Power of a Product Property, where:
[tex](ab)^n=a^nb^n[/tex]
Therefore:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]
(a) How could you calculate 23 x 4 on your calculator if the 4 button is broken? (b) How could you calculate 23 x 21 if the 2 button on your calculator is broken?
Answer:
23 x 4
=> 23 x (2 + 2)
=> 23 x 2 + 23 x 2
23 x 21
=> 23 x (3 x 7)
=> (23 x 3) x (23 x 7)
23 + 23 + 23 + 23 = to get the answer of 92
23 x 2 + 23 x 2 =.92
This rectangle has side lengths r and s.
For each expression, say whether it gives the perimeter of the rectangle, the area of the
rectangle, or neither.
1. rts
2. r.s
3. 2r + 2s
4.72 +82
Answer:
1.) Neither
2.) Area
3.) Perimeter
4.) Neither
Step-by-step explanation:
Given that the lengths of the rectangle are r and s
The perimeter of the rectangle will be:
Perimeter = 2r + 2s
Perimeter = 2(r+s)
While the area will be:
Area = r × s
Area = rs
For each expression, say whether it gives the perimeter of the rectangle, the area of the
rectangle, or neither.
1. rts = neither
2. r.s = Area of rectangle
3. 2r + 2s = Perimeter of rectangle
4.72 +82 = neither.
Based on the dots below, which of the following is a true statement
Answer:
Is there supposed to be some "dots" or something
solve for y 7y - 6y - 10 = 13
Answer: y=23
Step-by-step explanation:
[tex]7y-6y-10=13[/tex]
[tex]7y-6y=y[/tex]
[tex]y-10=13[/tex]
add 10 to both sides
[tex]y-10+10=13+10[/tex]
[tex]y=23[/tex]
Valerie invested $150 at the beginning of each quarter in stock XYZ.
According to the table below, which quarter would have been the optimal
investment period if she had chosen to invest her money as a lump sum?
XYZ
01
02
Q3
Stock Price
$12.75
$12.25
$11.50
$11.75
Q4
O A. Q4
O B. 03
O C. 01
D. Q2
Answer:
Quarter 3
Step-by-step explanation:
The quarter that would have been the optimal investment period is the third quarter.
What is the optimal investment period?
Stocks gives its holders ownership right in a company. Stockholders are paid dividends in some periods.
The optimal investment period is the period when the stock price is the lowest. This is the third quarter.
To learn more about stocks, please check: https://brainly.com/question/27342287
#SPJ2
During his 2001 MVP season for the Seattle Mariners, Ichiro Suzuki batted 0.350, meaning that his probability of getting a hit in any bat was 0.350.
In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1
Answer:
In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1
Step-by-step explanation:
Answer: 0.457
Step-by-step explanation:
Solve 8
Write this expression as a complex number in standard form
Answer:
[tex]81+144i[/tex]
Step-by-step explanation:
We want to simplify:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i[/tex]
Recall that:
[tex]\displaystyle \sqrt{-a} = i\sqrt{a}[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i & = (-3i\sqrt{81})(-5+i\sqrt{9})+9i \\ \\ &= -(3i(9))(-5+i(3))+9i \\ \\ & = -27i(-5+3i)+9i \\ \\ & = 135i -81i^2 + 9i \\ \\ & = 144i - 81i^2 \\ \\ & = 81+144i\end{aligned}[/tex]
Note that i² = -1.
In conclusion:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9})+9i = 81 + 144i[/tex]
help asap will give 10 points
Answer:
FALSE
Step-by-step explanation:
The properties of exponents tells us that
[tex]9^9\ \ *\,\,9^{-20}\,=\,9^{9-20}\,=9^{-11}[/tex]
Answer:
False
Step-by-step explanation:
[tex](9 {}^{9} ) \times (9 {}^{ - 20}) = 9 {}^{9 + ( - 20)} = 9 {}^{9 - 20} = 9 {}^{ - 11} [/tex]
Hope this helps ;) ❤❤❤
What is the slope and the y-intercept of the line on the graph below? On a coordinate plane, a line goes through points (0, 1) and (4, 0).
The slope is the change in Y over the change in x:
Slope = (0-1) / 4-0) = -1/4
Slope = -1/4
Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1
HELPP AGAIN PLEASE!! 2/5 (10c -35) (the 35 is negative)
Answer:
4c - 14
Step-by-step explanation:
2/5 (10c -35)
Distribute
2/5 * 10c - 2/5 * 35
4c - 14
Answer:
See below.
Step-by-step explanation:
[tex]\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14[/tex]
El reto consiste en convertir la igualdad en verdadera, haciendo 1 movimiento y luego, otra opción, haciendo dos movimientos. (no está permitido retirar fósforos)
12
Step-by-step explanation:
9+3 =12
pls make me brainiest
Step-by-step explanation:
Un movimiento:1 opción:
Del primer 9:
retirar el fósforo de la parte superior de tal manera que este nueve se convierte en 5 y colocarlo en la parte inferior del segundo nueve de tal manera que se convierte en 8:
5 + 3 = 8
2 opción:
en el primer nueve trasladar el fósforo vertical de la parte superior derecha a la parte inferior izquierda de tal manera que este se convierte en 6:
6 + 3 = 9
Dos movimientos:Del primer nueve retirar el fósforo vertical superior izquierdo de tal manera que este se convierte en 3 y ese fósforo colocarlo de forma vertical en la parte inferior izquierda del 3 y recorrer de este 3 el fósforo vertical superior derecho hacia la izquierda de tal manera que se convierte en 6:
3 + 6 = 9
Vanessa owed her friend $24. She paid back $8. How much more does Vanessa need to pay before her account is at zero?
Answer:
$16
Step-by-step explanation:
$24 - $8 = $16
Answer:
$ 16
Step-by-step explanation:
$ 24 - $ 8 = $ 16
If 1 pound of grass seed costs 25x cents, represent in terms of x the cost of 7 pounds of seed? In polynomial simplest form
Answer:
175 cents
Step-by-step explanation:
25x=
25 • 7
25 • 7 = 175
Therefore the cost of 7 pounds of seed is 175 cents.
what is the change in each term of the sequence? 0.8, 1, 1.2, 1.4, 1.6
Begin by studying the pattern.
Notice that the difference between 0.8 and 1 is 0.2.
In other words, 0.8 + 0.2 is 1.
In the same way, 1 + 0.2 is 1.2.
1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.
So we can see that the difference
between each of the terms is 0.2.
Answer:
+.2
Step-by-step explanation:
To find the common difference, take the second term and subtract the first term
1 - .8 = .2
Check by subtracting the second term from the third term
1.2 - 1 = .2
The common difference is .2
Please answer ASAP. The question is down below
Answer: 1) D 2) B
Step-by-step explanation:
1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0
n(n - 3)(n - 1) = 0
n=0 n-3=0 n-1=0
n=0 n=3 n=1
2) In order to be a rational expression, it must be in the form [tex]\dfrac{a}{b}[/tex] where both a and b are integers.
Since [tex]\sqrtb[/tex][tex]\sqrt b[/tex] is irrational and not an integer, then the expressions containing an irrational term after simplified cannot result in an integer.
Therefore, options (i) and (iv) are not rational expressions.
Option (iii) contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.
Could you guys please help with this question :) At a teacher's college, 70% of students are female. On average 75% of females and 85% of males students graduate. A student who graduates is selected at random, find the probability that the student is male.
Answer:
Step-by-step explanation:
70% of students are female
70/100* 75%= you get your answer
then subtract the percentage of the males and the females and then you get your answer
Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after t hours?
Answer:
a. 8 gallons
b. (11-0.75t) gallons
Step-by-step explanation:
a. Here in this question, we are told that the total amount of fuel in the fuel tank is 11 gallons and the car consumes 0.75 gallon per hour. We are interested in knowing the amount of fuel left in the tank after driving for four hours.
We proceed as follows;
Since 0.75 gallon is consumed in an hour, the amount of fuel consumed in 4 hours would be the amount consumed in an hour * 4 hours
Mathematically, that would be 0.75 * 4 = 3 gallon
Now, the amount of fuel left is simply the difference between the initial amount of fuel in the tank minus the amount of fuel present after 4 hours.
That would be; 11 - 3 = 8 gallons
b. Like above, we want to know the amount of fuel left after t hours.
Since 0.75 is used up per hour, the amount used up in t hours would be 0.75 * t = 0.75t
Now, the amount of fuel that would be left in the tank would be the difference between what we had initially and what was used up.
Mathematically, that would be 11- 0.75t
A police car drives with a constant speed of 64 mph. How far can it travel in 2 hours?
Answer:
128 miles.
Step-by-step explanation:
The police car is driving at a constant speed of 64 mph so you simply have to multiply the rate by the time to get the distance.
64 * 2 = 128 miles
Hope this helps!
what is the value of x to the nearest tenth
Answer:
14.1
Step-by-step explanation:
Use tan to help:
x/7 = tan (64°)x = 7*tan (64°) x = 7*2.05x = 14.1solve the equation
x/3+y/4=4
Answer: [tex]y=-\dfrac{4}{3}x+16[/tex]
Step-by-step explanation:
[tex]\dfrac{x}{3}+\dfrac{y}{4}=4\\\\\\\text{Multiply everything by 12 to eliminate the denominator:}\\\dfrac{x}{3}(12)+\dfrac{y}{4}(12)=4(12)\\\\4x+3y=48\\\\\\\text{Subtract both sides by 4x:}\\3y=-4x+48\\\\\\\text{Divide everything by 3:}\\y=-\dfrac{4}{3}x+16[/tex]
How many hours are there in ten quarters of an hour?
Answer:
2 1/2 hours
Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half
choose the answer based on the most efficient method. if the first step in the equation " -9 + x = 5x - 7" is subtract x, what should the next step be
Answer:
add 7 to both sides
Step-by-step explanation:
This is so because we are trying to solve the equation by seperating the variables from the real numbers. So as they remove all variables from the left side of the equation, we should remove any remaining numbers that are on the right side of the equation.
Hope this helps!
Emily's family loves to work together in the garden.They have a slight preference for flowers, as 60\%60%60, percent of their plants are flowers and 40\%40%40, percent are vegetables. They have 505050 plants growing in the garden. How many vegetable plants do they have?
50 plants total, 40% are vegetables
40% = 40/100 = 0.40
40% of 50 = 0.40*50 = 20
Answer: There are 20 vegetable plantsThe length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.
Answer: Width= 7 in.
Length= 10 in.
Step-by-step explanation:
[tex]l=w+3[/tex]
The perimeter of the rectangle is 34 inches.
[tex]2(w+l)=34[/tex]
substitute
[tex]2(w+w+3)=34[/tex]
[tex]2(2w+3)=34[/tex]
distributive property [tex]a(b+c)=ab+ac[/tex]
[tex]2\cdot 2w+2\cdot 3=34[/tex]
[tex]4w+6=34[/tex]
[tex]4w+6-6=34-6[/tex]
[tex]4w=28[/tex]
divide 4 on both sides
[tex]w=7[/tex]
Width is 7 inches
substitute w=7 in equation [tex]l=w+3[/tex]
[tex]l=7+3[/tex]
[tex]l=10[/tex]
Length is 10 inches
Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
A movie theater sells only two types of tickets: adult tickets for $20 each and student tickets for $12 each. One weekend, the theater sold 2,000 tickets for a total of $35,072. How many more adult tickets than student tickets were sold that weekend?
A) 768 B) 770 C) 772 D) 774
Answer:
adults tickets=1384
kids:616 tickets
1384-616= 768 tickets
Step-by-step explanation:
let x be adult tickets and y kids
x+y=2000 ⇒x=2000-y
20x+12y=35072 solve by substitute for x=2000-y
20(2000-y)+12y=35072
40000-20y+12y=35072
-8y=35072-40000
-8y=-4928
y=-4928/-8
y=616
x=2000-616
x=1384 tickets
check:
20(1384)+12(616)=35072 ( correct)
What is the range of the function graphed below? PLEASE ANSWER ASAP
This is a more complicated way to write [tex]y < 2[/tex]
The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.
In interval notation, the answer would be [tex](-\infty, 2)[/tex] with the curved parenthesis to indicate "do not include y = 2 as part of the range".
