Answer:
1/125
Step-by-step explanation:
[tex](5)^{-3}\\\\=\frac{1}{5^3}\\\\=\frac{1}{125}[/tex]
HELP I'm running out of time
Answer:
VT, TU, UV.
Step-by-step explanation:
The smallest angle is always across from the shortest side. And the longest angle is always across from longest side.
If a polynomial function f(x) has roots -7, 1 and 5i, what must also be a root of f(x)?
a) -5
b) -5i
c) 5+i
Answer:
-5i
Step-by-step explanation:
Write 8% as a fraction or mixed number in simplest form.
Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
All percents can be written as a fraction with their denominator as 100.
So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.
[tex]\frac{8}{100}[/tex] can be divided by 4 since that is the GCF ( Greatest common factor)
Now, the numerator would be 2 and the denominator would be 25 as shown below ...
[tex]\frac{2}{25}[/tex]
This is the simplest form of 8% as a fraction
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!!
The simplest form of the 8% as a fraction is 2 / 25.
What is the percentage?
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.
All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.
Fraction = 8 /100
Fraction = ( 4 x 2) / ( 4 x 25)
Fraction = 2 / 25
Thus, the 8% in the fraction is 2 / 25.
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can u pls help with this question
Answer:
noooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
an even even Function has a graph symmetric about _____, thus ______.
A. x-axis
B. y-axis
C. origin
A. f(x)= f(-x)
B. f(x)= -f(-x)
Answer:
B. y-axis
A. f(x) = f(-x)
Write this number in expanded form 36.91
Answer:
30+6+0.9+0.01 =36.91
Step-by-step explanation: Here ya go ;>
A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will miss the playoffs this year. In the accompanying dialogue, the reporter states, we are 97% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 28% and 42% . What does 35% represent in the report
Answer:
[tex]35\%[/tex] represents the sample proportion of the population
Step-by-step explanation:
From the question we are told that
The sample size is n = 947
The proportion of the population that believes that the Yankees will miss the playoffs this year is [tex]k = 35\% = 0.35[/tex]
From the question we are told the confidence level is 97%
The lower limit of the confidence level is a = 28%
The upper limit of the b = 42%
Generally the sample proportion of this population is mathematically represented as
[tex]\^ p = \frac{a+ b}{2}[/tex]
=> [tex]\^ p = \frac{28 + 42 }{2}[/tex]
=> [tex]\^ p = 35\%[/tex]
Hence [tex]35\%[/tex] represents the sample proportion
IF you do this for points YOU WILLLL NOT BE BRAINLEST AND YOU HAVE 1 HOUR IF IT IS LESS THAN AN HOUR NO ONE WILLL BE BRAINLEST !!!!!!!!!!!
Which number is missing on the following number line?
Answer:
21
Step-by-step explanation:
It is going by multiples of 7, so the answer is 21.
Help pleasseeeee!!!!!!
Answer:
i think C sorry if wrong
Solve for n .
n - 26 = -13 .
n =
Answer:
n = 13
Step-by-step explanation:
Given
n - 26 = - 13 ( add 26 to both sides )
n = 13
Final Answer: [tex]n = 13[/tex]
Steps/Reasons:
Question: Solve for n. n - 26 = -13. n = ?
Step 1: Add 26 to both sides.
[tex]n = -13 + 26[/tex]
Step 2: Simplify -13 + 26 to 13.
[tex]n = 13[/tex]
~I hope I helped you :)~
Nadine's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Nadine's curtain company wants to make 52 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Carmen quiere invertir 700 dólares, de tal forma que en
90 días le produzca 63 dólares de interés simple.
¿Que tasa de interés debe elegir?
La fórmula de interés simple, nos permite calcular I, que es el interés ganado o pagado de un préstamo. Según esta fórmula, la cantidad de interés está dada por I = C·i·t, donde C es el capital, i es la tasa de interés anual en forma decimal, y t es el período de tiempo expresado en años Tenemos que:
C = 700 dólares
i = ???
t = 90/360 = 0.25 (Expresado en años)
I = C*i * t
i = I / C*t
i = 63/ (0.25*700)
i = 0.36
R/ Debe elegir una tasa de interés de 36% anual.
The interest on the amount invested for 90days given $63 as interest is 36.5%
Simple interest is the amount of money added to money invested. It is calculated as:
[tex]SI = \frac{PRT}{100}[/tex]
P is the amount invested (principal) = $700
R is the rate
T is the time (in years) = 90/365
SI is the interest = $63
Substitute the given values into the formula
[tex]63=\frac{700 \times R \times 90}{365 \times 100}\\63=\frac{63000R}{36500}\\63= 1.72602R\\R=36.5\%[/tex]
This shows that the interest on the amount invested for 90days given $63 as interest is 36.5%
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What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5
Answer: A (1)
Step-by-step explanation:
The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number
A
49/1=49
62/1=62
80/1=80
This is an option
B
49/2=24.5
62/2=31
80/2=40
This is not an option, 24.5 is not a whole number
C
40/3=16.333(repeating)
This is not an option, you are not given a whole number
D
49/4=12.25
This is also not an option, 12.25 is not a whole number
Answer
Our only possible answer is A-1
Which of the following best defines the sequence shown?
8, 24, 72, 216, ...
Answer:
Option (2)
Step-by-step explanation:
Given sequence is,
8, 24, 72, 216........
1st term of the sequence 'a' = 8
Ratio of 2nd and 1st term = [tex]\frac{24}{8}=3[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{72}{24}=3[/tex]
There is a common ratio of 'r' = 3 in each successive and previous term.
Therefore, it's a geometric sequence.
Since, nth term of a geometric sequence is given by,
[tex]T_n=a(r)^{n-1}[/tex]
Therefore, function representing the geometric sequence is,
f(n) = [tex]f(n)=8(3)^{n-1}[/tex]
Option (2) is the answer.
A line includes the points (-8,8) and (6,4). Select the correct point slope form equations of this line. (Remember there can be more than one)
Group of answer choices
y-8=(-2/7)(x+8)
y+8=(-2/7)(x-8)
y-4=(-2/7)(x-6)
Answer:
y-8=(-2/7)(x+8) and y-4=(-2/7)(x-6)
Step-by-step explanation:
Point slope form equation: y - y₁ = m(x - x₁)
m is the same for all your answer choices, so you can disregard that part.
First point: (-8,8)
x₁ = -8; y₁ = 8
Plug those values into the point slope form equation and you get:
y-8=(-2/7)(x+8)
Do the same for the second point, and you get:
y-4=(-2/7)(x-6)
Answer:
first and third options
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope- formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (6, 4)
m = [tex]\frac{4-8}{6+8}[/tex] = [tex]\frac{-4}{14}[/tex] = - [tex]\frac{2}{7}[/tex]
using (a, b ) = (- 8, 8 ), then
y - 8 = - [tex]\frac{2}{7}[/tex] (x - (- 8) ) , that is
y - 8 = - [tex]\frac{2}{7}[/tex](x + 8) ← first option
using (a, b ) = (6, 4 ), then
y - 4 = - [tex]\frac{2}{7}[/tex] (x - 6) ← third option
Hugo is saving for a new baseball glove. He saves $10 the first week, and $6 each week for the next 6 weeks. The expression 10+6 with the power of 2 represents the total amount in dollars he has saved. What is the total amount Hugo has saved?
Answer$46
Step-by-step explanation: Because if he saves $6 every week for 6 weeks then all you have to do is times 6 by 6 then plus ten equaling your problem.
When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?
Answer:
There is no other way you can expand the brackets
Step-by-step explanation:
The sum of 2 numbers is 84 if one number is 4.less than the other find the numbers
Answer:
one number= x = 44
the other number= (x-4)= 40
Step-by-step explanation:
one number= x
the other number= (x-4)
x + (x-4) = 84
2x= 84+4
2x= 88
x= 88/2= 44
one number= x = 44
the other number= (x-4)= 40
can you show me how to work out the problem
PLEASE HELP!!! will mark brainliest
Answer:
you actually got all the answers
Step-by-step explanation:
Answer:
the ones you chose are correct :-)
Can you show me how you can get this answer step by step
Answer:
Plug in the values for x
Step-by-step explanation:
plug in x values into the equation
for example, plug -2 into the equation. y= -2(-2). y=4
So on and so forth
5. [Statistical independence] Consider a month consisting of exactly 28 days, split into four weeks of seven days each, such that the first of the month is a Monday. One of the 28 days will be selected uniformly at random (so that each day has probability 1/28 of being selected). Event A is that the selected day is a Monday or Wednesday. Event B is that the selected day falls either in the first or third weeks of the month. Are A and B independent or not? Show your work.
Answer:
They are independent events
Step-by-step explanation:
For independent events;
Pr(A & B) = Pr(A) × Pr(B)
Given that:
A = day is Monday or Wednesday
Since we have four weeks and each week will have one Monday and Wednesday each,
Pr(A) = (8/28)
B = day falls in the first or third week
Since, first and the third week has a total of 14 days,
Pr(B) = 14/28
Therefore;
Pr(A) × Pr(B) = 8/28 * 14/28
Pr(A) × Pr(B) = 1/7
Now, A and B = day is either Monday or Wednesday, and it is in the first or third week
There are four such days, Thus Pr(A and B) = 4/28 = 1/7
Since, Pr(A and B) = Pr(A) * Pr(B),
A and B are independent events
Find sin θ. Right Triangle Trigonometry.
Answer:
A. 16/20
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ
Opposite Leg = 16
Hypotenuse = 20
Step 2: Find Ratio
Substitute [Sine]: sinθ = 16/20Answer:
A. 16/20
Step-by-step explanation:
The sine ratio is the opposite leg over the hypotenuse, opp/hyp.
For angle theta, the opposite leg is 16. The hypotenuse is 20.
sin (theta) = 16/20
Answer: A. 16/20
Kaitlyn is sharpening a pencil that is 19 cm. Each time she sharpens it goes down 2.5 cm. If she sharpens her pencil 4 times. How many centimeters of pencil does she have left?
Answer:
9 cm
Step-by-step explanation:
2.5x4=10
Question 3 (1 point)
What is the area of the triangle?
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a
30 units squared
b
25 units squared
c
11 units squared
d
15 units squared
Answer:
d: 15 units squared
Step-by-step explanation:
The area of a triangle is [tex]\frac{b*h}{2}[/tex]:
Base: 5Height: 6Area: (5•6)/2=30/2=15Problem: According www.textrequest, an American between 18-24 sends and receives about 128 text messages per day. Assume that the population standard deviation is 30 for this age group. To get an idea about the true population mean you take a survey of 100 adults in that age group and find that their average is 135. Create a 90% confidence interval for the population average for this age group.
Answer:
(130.08, 139.92)
Step-by-step explanation:
Given that:
Mean (m) = 135
Standard deviation (σ) = 30
Sample size (n) = 100
α = 90%
The confidence interval value is obtained using the relation:
Mean ± Zcritical * (standard deviation / sqrt(n))
Zcritical at 90% = 1.64
standard deviation / sqrt(n) = 30 / sqrt(100)
= 30 / 10 = 3
Hence,
135 ± 1.64 * (3)
Lower limit : 135 - (1.64 * 3) = 130.08
Upper limit : 135 + (1.64 * 3) = 139.92
Hence,
Confidence interval = (130.08, 139.92)
Plz help- solve the inequality
-3(1 - z) < 9
Use distributive property
Answer:
z
=
9
2
Step-by-step explanation:
anyway
good luck
Natalie walked 3/5 mile in 1/2 hour.how fast did she walk,miles per hour.
Answer:
1.2 mph
Step-by-step explanation:
3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour
Marcos reads 3, books in 1 weeks.
At this rate, how many books does Marcos read iQ 1 week?
Enter your answer in the box.
Answer:
Marcos reads 3 books
Step-by-step explanation:
The question is asking how many books he read in 1 week, and it said "Marcos reads 3, books in 1 weeks. At this rate, how many books does Marcos read in 1 week?", so he read 3 books.
The height to the top of a flagpole is 18 feet. The flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet. How tall is the tree?
Answer:
22.5 feet
Step-by-step explanation:
set up a proportion, then cross-multiply
18/20 = x/25 or 18/x = 20/25
The height of the tree is 22.5 ft
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that, the height to the top of a flagpole is 18 feet, the flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet.
Here we need to find the height of the tree,
We will use the concept of the similar triangles to find the same,
Let the height of the tree be x
So. according to the definition of similar triangles,
18 / 20 = x / 25
x = 45 / 2
x = 22.5
Hence, the height of the tree is 22.5 ft
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