Given:
The expression is
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
To find:
The index form of given expression.
Solution:
Index form is the exponent form, it means, the number is represented in power of a number.
We have,
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]
Therefore, the index form of given expression is [tex](-4)^6[/tex].
A car is traveling 60 miles per hour. How long will it take to travel 240 miles?
Answer:
4 hours
Step-by-step explanation:
240 / 60 = 4
^^^ this one alsoooooo
Answer:
the first option
Step-by-step explanation:
BED = 180°-65°
= 115°
Answer:
115°
Step-by-step explanation:
Since CE is perpendicular to AD , then ∠ AEC = 90° and
∠ BEC = 90° - 65° = 25° , then
∠ BED = ∠ BEC + ∠ DEC = 25° + 90° = 115°
Quadrilateral VWXY is a kite. Find the measure of angle W.
Answer:
88
Step-by-step explanation:
all the angles added up must equal 360 degrees add x and v and subtract with 360 and divide that by 2
For a dinner party, a catering company charges a set
fee of $150 plus $20 per person.
How much will it cost for 35 people to attend the event?
Justify your work
Answer:
$850
Step-by-step explanation:
35 x 20 = 700 + 150 = $850 or 850
$20 per person and 35 people = $700 + the $150 fee = $850
the ratio of North American butterflies to South American butterflies that a butterfly Park is 8:4 the ratio of South American butterflies the European butterflies is 4:2 there are 64 in North American butterflies in a butterfly Park part 1 out of 2 how many South American butterflies are there?
Answer:
5x - North American Butterflies.
3x - South American Butterflies.
5x = 30 (Divide By 5).
x = 6.
3x = 18.
3x - South American Butterflies.
2x - European Butterflies.
2x = 2 * 6 = 12
There Are 12 European Butterflies And 18 South American Butterflies.
Step-by-step explanation:
Plz answer these 2 I’ll mark brainliest
Answer:
16. C
17. B
sorry if i got it wrong
Answer:
THE ANSWER
A
B
Step-by-step explanation:
MARK BRAINLIEST
Does someone knows how to solve this. Step by step?
Completing the Square:
x^2-6x=15
Answer:
[tex]x_1=3+2\sqrt{6}[/tex]
[tex]x_2=3-2\sqrt{6}[/tex]
Step-by-step explanation
[tex]\rule{100mm}{0.5mm}[/tex]
[tex]x^2-6x=15[/tex]
[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]
[tex]x^2-6x+3^2=15+3^2[/tex]
[tex]x^2-6x+9=15+9[/tex]
[tex](x-3)^2=24[/tex]
[tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]
[tex]x-3=\pm2\sqrt{6}[/tex]
[tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]
[tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]
[tex]\rule {100mm}{0.5mm}[/tex]
PLEASE HELP ME I DONT UNDERSTAND
Answer:
[tex]d=4\sqrt{5}[/tex]
Step-by-step explanation:
Write down both endpoint coordinate points:
[tex](-5,-3)(-1,5)[/tex]
Use the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]
Insert values:
[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]
Simplify parentheses:
[tex]d=\sqrt{(4)^2+(8)^2}[/tex]
Simplify exponents:
[tex]d=\sqrt{16+64}[/tex]
Add:
[tex]d=\sqrt{80}[/tex]
Find the square root. Find multiples of 80 that are perfect squares:
[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]
[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]
:Done
0.000603 in scientific notation
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) nothing, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
Is 5+x equal to 8+0.75x
Answer:
1.2
Step-by-step explanation:
X×5=0.75
X=(6, 5)
x=1.2
Answer:
no
Step-by-step explanation:
5+x=8+0.75x
x=12
⚠️HELP PLEASE ⚠️Two gears on a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first great has 24 teeth, and the second gear has 40 teeth, how many revolutions of the first gear are needed until the mark line up again?
Answer:
26
Step-by-step explanation:
Write a word description of the set.
{−6, −5, −4, −3, −2, −1}
You created new playlist, and 100 oi your friends listened to it and shared if they liked the new playlist or nat. Nadhii said the ratio of the number of people who liked the playlist ta the number of people who did nat like the playlist is 75:25. Dylan said that three people who liked the playlist, one person did not. Nadhii and Dylan agree? Prove your answer using the values of the ratios.
Answer:
Yes, Nadhii and Dylan agree
Step-by-step explanation:
You created a new playlist, and 100 of your friends listened to it and shared if they liked the new playlist or not. Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25. Dylan said that for every three people who liked the playlist, one person did not.
Do Nadhii and Dylan agree? Prove your answer using the values of the ratios.
Total number of friends who listened = 100
Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25.
Nadhii
Number of people who liked the playlist : Number of people who did not like the playlist
= 75 : 25
= 75 / 25
= 3/1
= 3 : 1
Dylan said that three people who liked the playlist, one person did not.
Number of people who liked the playlist : Number of people who did not like the playlist
= 3 : 1
Yes, Nadhii and Dylan agree
Factor the polynomials x^2 + 15x + 56
Final Answer: [tex](x + 7)(x + 8)[/tex]
Steps/Reasons/Explanation:
Question/Given: Factor the polynomials [tex]x^{2} + 15x + 56[/tex]
Step 1: Ask: Which two numbers add up to [tex]15[/tex] and multiply to [tex]56[/tex]?
[tex]7[/tex] and [tex]8[/tex]
Step 2: Rewrite the expression using Step 1.
[tex](x + 7)(x + 8)[/tex]
~I hope I helped you :)~
Will is buying a house for $185,000. He is financing $165,000 and obtained a 30-year, fixed-rate mortgage with a 6.725% interest rate. How much are his monthly payments? (2 points)
=================================================
Work Shown:
L = 165000 = loan amount or amount financed
r = 0.06725 = annual interest rate in decimal form
i = r/12 = 0.06725/12 = 0.005604167
i = 0.005604167 = approximate monthly interest rate in decimal form
n = number of months = 30*12 = 360 months
P = unknown monthly payment
--------------
Apply the monthly payment formula
P = (L*i)/( 1-(1+i)^(-n) )
P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))
P = 1067.44636311118
P = 1067.45
Solve for W
8/10 = w/15
Answer:
12 because 12/15 =.8 so does 8/10
Answer:
w=12
Step-by-step explanation:
8/10 is equal to 4/5. 4/5 is equal to 12/15. Therefore, W represents 12.
Brainliest are always appreciated :)
HELP ASAP!!! What is the slope of the line through (-1,-4) and (-6, -2)?
Answer:
2/-5
Step-by-step explanation:
(-2) - (-4) = 2
(-6) - (-1) = -5
Answer:
-2/5
Step-by-step explanation:
you have to do y2-y1 over x2-x1
then you plot in your points :
y2=-2
y1=-4
x1=-1
x2=-6
after you do that you need to subtract them and that's how you will get your answer.
Which of the following equations represent linear functions?
The picture will be shown
MATH QUESITON - PLEASE ANSWER ASAP
Please look at the picture below and give me answers to both the questions.
Answer:
16)
Bobby - 70
Hannah - 90 (Wins the round)
Carlos - 80
17)
Bobby - 7 (Wins the round)
Hannah - 3
Carlos - 5
Step-by-step explanation:
First we can make the variable n into each of the values they chose for the equations. Let's start with 16.
The equation is - (3+7) X (10 - n ÷2)
Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.
USE PEMDAS!!!
16)
Bobby -
1. (3+7) X (10 - 6 ÷2)
2. 10 X (10 - 6 ÷ 2)
3. 10 X 7
4. Answer for Bobby - 70
Hannah -
1. (3+7) X (10 - 2 ÷2)
2. 10 X (10- 2 ÷2)
3. 10 X 9
4. Answer for Hannah - 90 (Wins the round)
Carlos -
1. (3+7) X (10 - 4 ÷2)
2. 10 X (10 - 4 ÷ 2)
3. 10 X 8
4. Answer for Carlos - 80
17)
Bobby -
1. (2 X 6 + 2) ÷ 2
2. (12 + 2) ÷ 2
3. 14 ÷ 2
4. Answer for Bobby - 7 (Wins the round)
Hannah -
1. (2 X 2 + 2) ÷ 2
2. (4+2) ÷ 2
3. 6 ÷ 2
4. Answer for Hannah - 3
Carlos -
1. (2 X 4 + 2) ÷ 2
2. (8+2) ÷ 2
3. 10 ÷ 2
4. Answer for Carlos - 5
Hope this Helps!!! :)
Let me know if I should change anything or if the answer was perfect!!!
Evaluate
15/r when r=5
Answer:
3
Step-by-step explanation:
[tex]\frac{15}{r} =\frac{15}{5}=3[/tex]
Name the angle in (4) different ways.
Answer:
um in languages or different angles
Step-by-step explanation:
Camilla baked 15 cookies with 3 scoops of flour. How many scoops of flour does Camilla need in order to bake 20 cookies? Solve using unit rates.
Answer:
camilla needs 4 scoops of flow because 3 is related to 15 bc "5x3=15" and that gives us to only need 1 more cup to get 20 cookies
Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells?
Answer: No. The two frames does not have the same ratio of white shells to orange shells.
Step-by-step explanation:
Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:
9/15 = 3/5
The ratio is 3:5
Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:
= 8/10 = 4/5
The ratio will be 4:5.
Therefore, the two frames does not have the same ratio of white shells to orange shells.
What is the area of a circle that has a circumference of12r?
I need it now
Tinky Winky is 2 years younger than Laa Laa. If the product of Tinky's and Laa Laa's ages is equal to 1 less than 5 times the sum of their ages, how old is Tinky?
Answer:
Solution:-Let
Tinky's age=x
Laa's age=x+2
According to the question
[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]
[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]
The average person laughs 15 times per day.
Kira runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes.
Answer:
2.8 miles
Step-by-step explanation:
brian runs 7 miles in 60 minutes at the same rate how many miles would he run in 24 minutes?
(24/60)*7=2.8 miles
write each percent as a fraction in simplest form
60%
Answer:
3/5
Step-by-step explanation:
ir would be 6/10 but simplified it would be 3/5
33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))
Given:
[tex]d(t)=80t[/tex]
[tex]C(d)=0.09d[/tex]
To find:
The value of [tex]C(d(10))[/tex].
Solution:
We have,
[tex]C(d(10))=C(80(10))[/tex] [tex][\because d(t)=80t][/tex]
[tex]C(d(10))=C(800)[/tex]
Now,
[tex]C(d(10))=0.09(800)[/tex] [tex][\because C(d)=0.09d][/tex]
[tex]C(d(10))=72[/tex]
Therefore, the value of [tex]C(d(10))[/tex] is 72.