Making the value of 'a' smaller, but still positive, will make the graph be compressed vertically.
Let's say a = 1 is the initial value. If we update it to a = 0.5, then the graph will be half as tall as it used to be, so it's compressed by a factor of 1/0.5 = 2.
The value of b determines the period of the sinusoidal function.
Determine the level of measurement of the variable. an officer's rank in the military Group of answer choices
Answer:
Ordinal
Step-by-step explanation:
Level of measurement used in statistics summarizes what statistical analysis that is possible. There exist three types of level of measurement. The nominal, ordinal and Interval/Ratio level of measurement. Here, our primary focus will be the Ordinal level of measurement.
Ordinal level of measurement indicates the position in a sequence. In the military sector, the officer's rank is said to be Ordinal. This implies that the ordinal level of measurement categorizes variables according to hierarchy or ranks with a meaningful order. Still, the intervals and differences between the variables may not be equal.
Given three collinear points A,B,C , with B between A & C, four different rays can be named using these points AB, BA, BC, & CB. How many different rays can be named?
Answer:
6 different rays can be named
Step-by-step explanation:
The total number of rays that can be named by 3 points is the number of permutations of 3 objects taken 2 at a time: 3!/(3-2)! = 6. The 6 rays that can be named are ...
AB AC BC CB CA BA
What is the magnitude of the vector 12 - 5i?
Answer:
the magnitude is 7
Step-by-step explanation:
as i means unit vector along x-axis so the magnitude of i is 1 and now,
= 12 - 5×1
= 12- 5
= 7
What is the value of | - 61 - 161 - (- 6)?
which number has the greatest value? 0.384
simplify the following expression
Answer:
See below
Step-by-step explanation:
√160c⁵d⁴
= √160 * √c⁵ * √d⁴
= √16 * √10 * √c² * √c² * √c * √d² * √d²
= 4 * √10 * c * c * √c * d * d
= 4c²d²√10c
Answer:
The answer is
[tex]4 {c}^{2} {d}^{2} \sqrt{10c}[/tex]Step-by-step explanation:
[tex] \sqrt{160 {c}^{5} {d}^{4} } [/tex]To solve the expression, expand the terms
That's
[tex] \sqrt{ {4}^{2} \times 10 {c}^{4} \times {cd}^{4} } [/tex]Using the rule
The square root of a product is equal to the product of the roots of each factor.
Expand
That's
[tex] \sqrt{ {4}^{2} } \times \sqrt{ {c}^{4} } \times \sqrt{ {d}^{4} } \times \sqrt{10c} [/tex]Reduce the surds
Thats
[tex] \sqrt{ {4}^{2} } = 4 \\ \sqrt{ {c}^{4} } = {c}^{2} \\ \sqrt{ {d}^{4} } = {d}^{2} [/tex]We have
[tex]4 \times {c}^{2} \times {d}^{2} \times \sqrt{10c} [/tex]We have the final answer as
[tex]4 {c}^{2} {d}^{2} \sqrt{10c} [/tex]Hope this helps you
help on this plz
.
.
.
.
Answer:
B, C , D
Step-by-step explanation:
Inequalities have <, > , ≤, ≥
A and E are expressions
3. Ann wants to paste 18 posters on her bedroom wall. She wants to put the same
number of posters in each row. How many rows could Ann make, 4.5, 9 or 10?
Answer:
9
Step-by-step explanation:
18÷2=9
So, Ann could have 9 rows of posters with 2 posters in each row.
Sum of the areas of two squares is 260 m². If the difference of their perimeters is 24 m then find the sides of the two squares.
Answer: x=14 and y=8
*Note: x and y are used as variables to solve the problem. Just know that the sides for one square is 14 and the other, 8.
Step-by-step explanation:
For this problem, we can use system of equations to solve. Let's use x for one side of a square and y for the other.
Equation 1:
x²+y²=260
We get this equation from the sum of the areas. The x² and y² are from the area. Since all sides of a square are equal lengths, we can directly square them.
Equation 2:
4x-4y=24
This equation comes from the difference of the perimeters. 4x and 4y are perimeters because perimeter is adding all sides of the square together. There are 4 sides to a square, therefore we get 4x and 4y.
We can use substitution method to solve.
4x-4y=24 [add both sides by 4y]
4x=24+4y [divide both sides by 4]
x=6+y
Now that we have x, we can plug it into any equation and solve.
(6+y)²+y²=260 [expand]
y²+12y+36+y²=260 [combine like terms]
2y²+12y+36=260 [subtract both sides by 36]
2y²+12y=224 [factor out 2]
2(y²+6y)=224 [divide both sides by 2]
y²+6y=112 [subtract both sides by 112]
y²+6y-112=0 [factor equation]
(y-8)(y+14)=0 [set each factor equal to 0 to solve]
y=8 and y=-14
We know that y=8 because (y+14)=0 gives you y=-14, but a length or area can NEVER be negative, only positive.
Now that we have y, we can plug it into any equation to find x.
4x-4(8)=24 [combine like terms]
4x-32=24 [add both sides by 32]
4x=56 [divide both sides by 4]
x=14
Now, we have x and y. x=14 and y=8.
12 athletes on a volleyball team need to raise 912.80$ to buy new uniforms and equipment. They already raised 482.36 at a school fundraiser. if each athlete raises the same amount, how much more money does each athlete need to raise?
Answer:
$35.87
Step-by-step explanation:
912.80 - 482.36 = 430.44
430.44 divided by 12 = 35.87
Answer:
$35.87
Step-by-step explanation:
Let's first find out how much more they need to raise in total.
912.80 - 482.36 = 430.44
Now, if everyone contributes the same amount, they each need to contribute one twelfth of this amount.
430.44/12 = 35.87
Answer: Each athlete needs to contribute $35.87 more
given P(x)=x^2+x+1 find answer P(7)
this is my third time posting this bc i kept getting the wrong answer please help me
Answer:
B
Step-by-step explanation:
So we have:
[tex]\frac{x^{\frac{2}{3}}}{y^{\frac{-3}{4}}}[/tex]
First, we recall that we can switch an exponent from the denominator to the numerator if we multiply the exponent by -1 and vice versa. Therefore:
[tex]=x^{\frac{2}{3}}}\cdot {y^{\frac{3}{4}}[/tex]
Now, use the following property:
[tex]a^{x/n}=\sqrt[n]{a^x}[/tex]
Therefore:
[tex]x^{\frac{2}{3}}=\sqrt[3]{x^2}[/tex]
And:
[tex]y^{\frac{3}{4}}=\sqrt[4]{y^3}[/tex]
And so together:
[tex]=x^{\frac{2}{3}}}\cdot {y^{\frac{3}{4}}\\=\sqrt[3]{x^2}\cdot\sqrt[4]{y^3}[/tex]
Our answer is B :)
Answer:
B
Step-by-step explanation:
the answer is the letter b
1. The ratio of boys to girls in the seventh grade is 2:3. If there are 24 boys, how many girls are there?
Answer:
16
Step-by-step explanation:
2/3 * 24 = 16
Select the choice that translates the following verbal phrase correctly to an algebraic expression:
8 times the quantity of 5 less than 10
A. 8(10 - 5)
B. (8 • 5) - 10
C. 8(5 - 10)
D. (8 • 10) - 5
Answer:
A
Step-by-step explanation:
"8 times" = 8 must be alone and not being multiplied or subtracted from anything
"the quantity of" is asking for a number
"5 less than 10" = 5, so we must see (10 - 5) in the correct answer
so we get 8 times 5, or 8(10 - 5)
Solve the equation t/2+7=15
Answer:
15-7=8
8×2=16
t=16
.....
Answer:
t = 16
Step-by-step explanation:
t/2+7=15
Subtract 7 from each side
t/2 +7-7 = 15-7
t/2 = 8
Multiply each side by 2
t/2*2 = 8*2
t = 16
The figure below is made of 2 rectangular prisms what is the volume of this figure
Answer:330
Step-by-step explanation: LxWxH
10x9x2 +10x3x5=330cm
2 - 4 (-8b+1) = 3b+6
Answer:
First of all you will start by saying 2-4=-2.
-2(-8b+1)=3b+6.
16b-2=3b+6.
13b=8.
b=8/13.
b=0.6153~0.62.
Can anyone help me find the value pls?
The inside angle for B, which is labeled x is the same as the outside angle of D which is labeled as 72, so we know x = 72.
In a parallelogram two angles next to each other equal 180, so angle A and angle B equal 180.
We know B = 72, so A = 180-72 = 108
Angle A is divided in 2 by angle y, so y = 108/2 = 54
Answers: x = 72
Y = 54
What should be subtracted from thrice the rational number -5/3 to get 1/2?
Answer:
-11/2
Step-by-step explanation:
According to the information given, you can write the following:
3(-5/3)-x=1/2, where x is the number that should be subtracted from thrice the rational number -5/3 to get 1/2.
Then, you can solve for x:
-15/3-x=1/2
-5-x=1/2
x=-5-1/2
x=-11/2
According to this, the answer is that -11/2 is what should be subtracted from thrice the rational number -5/3 to get 1/2.
Your bank account is $32.00. You make the following withdrawals, in the following order: $15.00,$7.41,$35.79, and $ 0.53. After each withdrawal that leaves a negative balance, the bank adds a -$32.00 bank fee to your account. what is your new balance?
A school conducted a survey to find out which games students enjoy watching the most. The table below contains the results of the survey.
Answer:
33.33%
Step-by-step explanation:
There are a total of 102 students that enjoy watching soccer most.
Of those 102, 34 are middle school students; that makes the relative frequency 34/102 = 33.33%.
Answer:
33.33
Step-by-step explanation:
el operador de un elevador registro el numero de pisos que este subio y bajo en varias ocasiones para llegar de la planta baja hasta el piso 9. Si en total se hicieron 5 movimientos (2 de bajada y 3 de subida), que operacion podria indicar la cantidad de pisos que el elevador subio y bajo en cada movimiento?
Responder:
Por favor, consulte la explicación.
Explicación paso a paso:
Dado que :
Número total de movimientos realizados:
5 (2 movimientos hacia abajo y 3 movimientos hacia arriba) para llegar al noveno piso desde la planta baja.
Tome el movimiento hacia abajo como (-)
Movimiento ascendente como (+)
Número de pisos entre la planta baja (0) y el 9 ° piso: (9-0) = 9
Usando el operador de multiplicación, podemos obtener el número de pisos movidos hacia arriba y hacia abajo antes de llegar al noveno piso.
9 * 3 = 27 pisos (hacia arriba)
9 * 2 = 18 pisos (hacia abajo)
Cheque:
27 - 18 = 9
Steve drove for 4 1/2 hours at 68 mph, how far did Steve drive?
Distance = speed x time
Distance = 68 x 4 1/2
Distance = 306 miles
Answer: 306 miles
Step-by-step explanation:
Speed= distance/time
Distance= speed•time
Time= distance/speed
Use the symbols to model the situation on the number line.
find the answer of 7x5, put a dot on the zero and go backwards from there till you reach 35 on the number line.
The absolute value of 8 is
Answer:
8. Absolute values are always positive.
round these numbers to the nearest tenth 2.65 and 159.39
Answer: 2.7 and 159.4
Step-by-step explanation:
To round numbers tot he nearest tenth,check their tenth digit and if the next number that comes before it is equal or greater than 5, then round that tenth digit up by 1.
The number 2.65 , number 6 is in the tenth place and the number next to it which is 5 is in the hundredths place so to to the nearest tenth will be 2.7 .
The second number 159.39 the tenth place digit is 3 and the number next to it is greater than 5 so after rounding you will get 159.4
Solve 3[-x + (2 x + 1)] = x - 1.
Step-by-step explanation:
3(-x+2x+1)=x-1
3(x+1)=x-1
3x+3=x-1
3x-x=-1-3
2x=-4
x=-2
I need help ! Quickly !
Answer:
5
Step-by-step explanation:
A function is defined as, f (x) = -3x^2 + 2x - 5 what is f (-1)
Answer:
The value of f(-1) in the given equation is -10.
Step-by-step explanation:
When we see f(-1), it means that -1 is represented as our value of x. So, knowing this information, we can plug this into our given equation.
f(-1) = -3(-1)² + 2(-1) - 5
Simplify the exponent on -1.
f(-1) = -3(1) + 2(-1) - 5
Multiply -3 by 1.
f(-1) = -3 + 2(-1) - 5
Multiply 2 by -1.
f(-1) = -3 - 2 - 5
Subtract 2 from -3.
f(-1) = -5 - 5
Subtract 5 from -5.
f(-1) = -10
The function defined by [tex]f (x) = -3x^2 + 2x - 5[/tex] when x = -1 is -10
Given the function [tex]f (x) = -3x^2 + 2x - 5[/tex]
To get f(-1), we will substitute x = -1 into the function to have:
[tex]f (-1) = -3(-1)^2 + 2(-1) - 5 \\f(-1)=-3-2-5\\f(-1) =-10[/tex]
Hence the function defined by [tex]f (x) = -3x^2 + 2x - 5[/tex] when x = -1 is -10
Learn more on functions here: https://brainly.com/question/20384115
Marleny is creating a game of chance for her family. She has 5 different colored marbles in a bag: blue, red, yellow, white, and black. She decided that blue is the winning color. If a player chooses any other color, they lose 2 points. How many points should the blue marble be worth for the game to be fair?
4
6
8
10
The points the blue marble should be worth for the game to be fair is given by: Option C: 8
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
How to calculate the expectation of a discrete random variable?Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.
Thus, if the random variable is X, and its probability mass function is given : f(x) = P(X = x), then we have:
[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]
(n is number of values X takes)
For the game to be fair, the expected number of points that one can loose should be equal to the expected number of points one can gain.
Now, probability of getting any specific colored marble = 1/5 = 0.2 (since there is one way to choose a specified colored marble, but there are 5 ways to choose a single (no color specified) marble out of 5 marbles.
The game would be fair if there is equal chance of winning and loosing.
Let we have:
Then we need E(X) = expectation of X = 0 (since the negative points of loosing would equate to positive point of winning, thus, making the expected overall score 0, thus, making game fair.
Values of X = -2(if lost, or say chose any four colored marble except blue marble), or p(if won, or say chose blue colored marble)
P(X = -2) = P(choosing non-blue marble) = 4/5P(X = p) = P(choosing blue marble) = 1/5(its because choosing one marble from 5 marbles can be done in 5 ways, so n(S) = 5, and choosing 1 blue marble out of 5 different colored marble can be done in 1 way, and choosing 1 non-blue marble out of 5 different colored marble can be done in 4 ways)
Thus, we get:
[tex]E(X) = -2 \times P(X = -2) + p \times P(X = p)\\E(X) = -2 \times 4/5 + p \times 1/5\\0 = -8/5 + p/5\\0 = -8 + p\\p = 8[/tex]
Thus, the points the blue marble should be worth for the game to be fair is given by: Option C: 8
Learn more about expectation of a random variable here:
https://brainly.com/question/4515179