The diameter of a circle is 4cm. Find it area to nearewt tenth.
Answer:
12.6cm
Step-by-step explanation:
12.6 cm²
Area formula: (A = πr²)
If the diameter is 4 cm.. then that would mean the radius is 2 cm because the radius is half of the diameter. So, we already know the radius.. we just have to find the circumference.
Circumference formula: (C = πd) or (C = 2πr)
Finding the circumference : 3.14 × 4 = 12.56 cm
So, we now have the radius and circumference.
Radius = 2 cm
Circumference = 12.56 cm
Finding the Area : 3.14 × 2 × 2 = 12.56 cm²
So, 12.56 rounded to the nearest tenth is 12.6 cm².
Hope this helped! :)
Jamal's car travels an average of 16.7 miles per gallon of gas.
A full tank of gas is 20 gallons. Jamal has driven 292 miles
since he last filled his gas tank. How many more miles can
Jamal expect to travel on this same tank of gas?
Answer:
42 miles
Step-by-step explanation:
20 x 16.7 = 334 miles on a full tank of gas
he drove 292 miles so 334 - 292 = 42 miles left
What function represents the pattern shown in the table?
Given:
The table of values of an exponential function.
To find:
The function for the given table of values.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is growth factor.
From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.
[tex]9=ab^1[/tex] ...(ii)
[tex]36=ab^2[/tex] ...(iii)
On dividing (iii) by (ii), we get
[tex]\dfrac{36}{9}=\dfrac{ab^2}{ab}[/tex]
[tex]4=b[/tex]
Putting [tex]b=4[/tex] in (ii), we get
[tex]9=a(4)^1[/tex]
[tex]\dfrac{9}{4}=a[/tex]
Putting [tex]a=\dfrac{9}{4},b=4[/tex] in (i), we get
[tex]y=\dfrac{9}{4}(4)^x[/tex]
[tex]y=9(4)^{x-1}[/tex]
The function notation with variable n is:
[tex]f(n)=9(4)^{n-1}[/tex]
Therefore, the correct option is D.
Please help me ASAP!!!
A circular pizza has a diameter of 16 inches. Each slice of pizza has a central of angle 45°. What is the area of each slice of pizza?
A. 3.1 in²
B. 6.13 in²
C.25.1 in²
D. 100.5 in²
Answer:
First, let's find the area of the whole pizza:
Area of circle = pi x r^2
r = 16 / 2
r = 8
Area of pizza = pi x 8^2 = 64pi
Now 45 degrees is 1/8 of the whole pizza (it is one-eighth of 360 degrees), and so a slice is proportional to the fraction of the area:
64pi / 8 = 8pi
The area of each slice is then 8pi in.^2
Step-by-step explanation:
1. ¿Cuál de las siguientes opciones es verdadera respecto de las propiedades de las ondas? A) El período y la frecuencia son inversamente proporcionales. B) El período no se relaciona con la frecuencia. C) El periodo es el número de ciclos en un cierto tiempo d) El período y la frecuencia son directamente proporcionales.
Answer:
Step-by-step explanation:
How many 2-liter bottles of soda will you need to fill ten 500 milliliter containers?
Answer:
2.5 bottles
Step-by-step explanation:
10 * 500 ml = 5000 ml
5000 ml = 5 l
5/2 = 2.5
2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.
How many milliliters in 1 liter?A liter is a cubic meter unit of volume which is equal to 1000 cubic centimeters.
1 liter = 1000 milliliters
Ten 500 milliliter containers
10 × 500 ml = 5000 ml
5000 ml = 5 l
2-liter bottles of soda will you need
5/2 = 2.5bottles
Therefore, 2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.
Learn more about liter;
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A coin is flipped 1000 times in a row. What is the probability that on the 999th flip, the coin will land on tails?
Answer:
50% chance
Step-by-step explanation:
An insect population doubles every week. The function f(x)= 10(2)^x models the insect population after x weeks what will the population be after 4 weeks?
A.80
B.20,000
C.160
Given:
The insect population function is:
[tex]f(x)=10(2)^x[/tex]
Where x is the number of weeks.
To find:
The population after 4 weeks.
Solution:
The population of insect after x weeks is given by:
[tex]f(x)=10(2)^x[/tex]
We need to find the population after 4 weeks.
After substituting [tex]x=4[/tex], we get
[tex]f(4)=10(2)^4[/tex]
[tex]f(4)=10(16)[/tex]
[tex]f(4)=160[/tex]
The population after 4 weeks is 160. Therefore, the correct option is C.
A rocket gets launched straight up into space. What is a possible description
of the rate of change (slope)?
Answer:
sorry in a hurry
Step-by-step explanation:
A rocket gets launched straight up into space. What is a possible description
of the rate of change (slope)?
Which quadratic expression is in vertex form?
Which of the following is not an integer? I need help!
0.54
0
-45
17
Answer:
0.54
Step-by-step explanation:
An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.
A suitcase is a rectangular prism whose dimensions are 1 1/4 feet by 1 1/2 feet by 2 1/4 feet. Find the volume of the suitcase. Tell me the answer as a mixed number in simplest form.
Use the formula: V= lwh
Good luck!
Answer:
V = 4.22ft^3
Step-by-step explanation:
Length: 2.25ft
Width: 1.5ft
Height: 1.25ft
Length x Width x Height = V
2.25 x 1.5 x 1.25 = 4.22ft, since we're dealing with volume of a 3D space, the answer is 4.22ft^3!
Solve 2in,3in,and 5in MOOOAAAAN
I BEEP BEEP WANT MORE MOOOOAN
Answer:
yo mama
Step-by-step explanation:
Answer:
Wat
Step-by-step explanation:
y o u n e e d a s t e p s I s t e r
What is 2logs(5x°)+ logs(+6) written as a
single logarithm?
Given:
The expression is:
[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]
To find:
The single logarithm expression for the given expression.
Solution:
We have,
[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]
Using properties of the logarithm, we get
[tex]=\log_5(5x^3)^2+\log_5(x^2+6)^{\frac{1}{3}}[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]=\log_5(25x^6)+\log_5\sqrt[3]{x^2+6}[/tex]
[tex]=\log_5(25x^6)\sqrt[3]{x^2+6}[/tex] [tex][\because \log a+\log b=\log (ab)][/tex]
Therefore, the correct option is B.
1.
A salesman earns $300 a week plus 20% of his sales. Which equation can be used to determine his
salary S if his weekly sales is x dollars?
Step-by-step explanation:
S = 300 x .20(x)
hope this helps
which group has a larger median number of bones discovered?
Answer:
Group A has a larger median
Step-by-step explanation:
Group A : 0,1,2,3,3,3,4,4,5,5,7,7,8,9,9
Group B : 0,1,1,1,1,2,2,2,3,3,3,5,,6,6,7,8,8,9,9,9
You cross the first number out then you cross the last number. You continue that pattern until you have one or two digits left. If you have two digits left, you add them then divide by two. That the median. But, if you only have one digit, that number is the median.
HELP PLEASE 10 POINTS AND BRAINLIEST
Answer:
the first (c) is the answer: ΔABC ≅ ΔPQR
Step-by-step explanation:
write 0.001574 in scientific notation
Answer: 1.574 × 10-3
Step-by-step explanation:
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10-3
Answer:
0.001574 in scientific notation is 1.574 × 10^-3
Step-by-step explanation:
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10^-3
Therefore, the decimal number 0.001574 written in scientific notation is 1.574 × 10^-3 and it has 4 significant figures.
Hope this helped!!!
does this function equal 4 on the interval [4, 5]?
[tex] \frac{10 \cos(xπ) }{x-2} [/tex]
=- No way
Step-by-step explanation:
WHAT IS THE WHOLE FOR 3 3/4 PLEASE HELP ME
Answer:
15/4
Step-by-step explanation:
Please help out!!!! :///
Answer:
last option
Step-by-step explanation:
the middle term is the sum of 4k and 4k which is 8k
i need help please! will mark brainliest
Answer:
g= - 3x/x-2
Step-by-step explanation:
Lauren studies for 3 \frac{1}{3} 3 1 hours. She took a break every \frac{2}{3 } 3 2 hour. HOW MANY breaks did she take?
Answer: 5 times
Step-by-step explanation:
Your question isn't well written but let me rewrite it based on what I believe that you wrote.
Lauren studies for 3 1/3 hours. She took a break every 2/3 hour. How many breaks did she take?
To solve the question, we have to divide the number if hours used in studying by the interval used in taking a break. This will be:
= 3 1/3 ÷ 2/3
= 10/3 / 2/3
= 10/3 × 3/2
= 5
She took a break 5 times
.Jorge has a square poster that measures 15 centimeters on a side. What is the perimeter of the poster in centimeters?
Answer:
[tex]A=225cm[/tex]
Step-by-step explanation:
From the question we are told that:
Sides of the square post
[tex]L=15cm[/tex]
Generally the equation for Area of a square A is mathematically given by
[tex]A=L*B[/tex]
Where L=B
Therefore
[tex]A=15*15[/tex]
[tex]A=225cm[/tex]
3. Brian paid $27 for 12 gallons of gasoline. To the nearest
cent, how much did 1 gallon of gasoline cost?
A. $0.44
B. $2.00
C. $2.25
D. $15.00
Answer:
C that was the answer to mine and it was right
Step-by-step explanation:
The volume of this cylinder is 16,328 cubic millimeters. What is the height?
Answer: 13
Step-by-step explanation:
Answer:
Step-by-step explanation:
Givens
r = 20 mm
Volume = 16328
h = ?
Formula
V = pi * r^2 * h
Solution
16328 = 3.14 * 20^2 * h
16328 = 3.14 * 400 * h
h = 16328/(3.14 * 400)
h = 16328 / 1256
h = 13
A line passes through the point (3,3) and is parallel to the line given by the equation Y=-2/3x - 2
What is the equation of the line?
A. Y=3/2x
B. Y=-2/3x+5
C. Y=2/3x-5
D. Y=-3/2x+1
Answer:
B. [tex]y=-\frac{2}{3}x+5[/tex]
Step-by-step explanation:
Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)
Parallel lines have the same slope.
So that means that the line will have the slope [tex]-\frac{2}{3}[/tex].
So we can write the equation of the line as y= -2/3x+b
Since it goes through the point (3,3) we can plug in 3 for x and y by doing:
[tex]y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5[/tex]
Now we know the y intercept (b) we can write the equation of the line.
[tex]y=-\frac{2}{3}x+5[/tex]
The equation of the line would be equal to y= -2/3x + 5
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
The Equation of a line: y=mx+b
Where m is the slope and b is the y- intercept
Since Parallel lines have the same slope.
So we can write the equation of the line as;
y= -2/3x+b
Since it goes through the point (3,3) we can plug in 3 for x and y
y= -2/3x+b
3 = -2 + b
b = 5
Now we know the y intercept (b) we can write the equation of the line.
y= -2/3x + 5
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Please help! 3 questions ALL multiple choice if you answer them all you will get 30 points! I WILL GIVE YOU BRAINLIST! (NO LINKS PLEASE)
Answer:
I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.
Step-by-step explanation:
Si sacas una carta al azar de un mazo estándar de 52 cartas, ¿Cuál es la probabilidad de que obtengas una carta que sea menor a cinco o una de diamante?
The diameter of a planet is about 10790 mi. The diameter of the planet's moon is about 33% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
Answer:
3560.7
Step-by-step explanation: