Answer: 18pi unit squared
Step-by-step explanation:
Area of a circle = πr2
Radius of Circle G= 3units
Area of circle G= πr2
= π (3×3)
= 9π unit squared
Maria draws a circle with double the area of circle G. This will be:
2 × 9π
= 18π2
= 18pi unit squared
Answer:
18*pi units squared.
Step-by-step explanation:
The area of a circle can be calculated with the following formula:
Area = pi * r^2
Where r is the radius.
The circle G have a radius of 3 units, so its area is:
Area1 = pi * r^2 = pi * 3^2 = 9*pi
If the circle that Maria draws has double the area, so her circle have a area of:
Area2 = 2 * Area1 = 2*9*pi = 18*pi units squared.
The sum of the angle measures in a triangle is 180. The angles of a
certain triangle measure x°, 2xº, and 6x° Solve for the measure of
each angle.
40°, 60° and 80°
50°, 50° and 80°
20°, 40° and 120°
30°, 50° and 100°
Answer:
20, 40, and 120
Step-by-step explanation:
x, 2x, and 6x have one thing in common: X. X is the same number throughout so if we find x we can just finish the equation by multiplying x by its coefficient.
x+2x+6x = 180. (Sum of angle measures)
9x = 180 (Add up the left side)
9x/9 = 180/9 (Divide both sides by 9 to cancel out the 9 and leave the x)
x = 20
Now we know what x is so:
Angle 1 = 20. (We know x is 20, so that one is easy.)
Angle 2 = 40 (Simply 2*x or 2*20)
Angle 3 = 120 (Simply 6*x or 6*20)
Multiply.
Your answer should be a monomial in standard form.
(-9n^3)(n^3)
To multiply monomials, you multiply the coefficients and add the exponents of like variables. The product of -9n^3 and n^3 is -9n^6.
Explanation:The question is about multiplying two monomials in mathematics. In this case, the two monomials are -9n^3 and n^3. To multiply monomials, you multiply the numerical coefficients and add the exponents of like variables. Here, the coefficient is -9 and the exponent 3 for the first monomial and 1 and 3 for the second monomial. When you multiply -9 by 1, you get -9. When you add the exponents 3 and 3, you get 6. So, the product of those two monomials in standard form is -9n^6.
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Rachel has bought 24 pounds of dog food. She feeds her dog 3/4 pounds for each meal. For how many meals will the food last?
Answer:
32 meals
Step-by-step explanation:
24/.75 = 32
- Please let me know if you need a further explanation
the answer choices are
median & mode ?
mean
mode
median
Answer:
median
Step-by-step explanation:
Answer:
A) Median and Mode
Step-by-step explanation:
Step 1: Write all of the numbers in numeric order
3, 4, 5, 5, 7, 9, 19
Step 2: Find the number you are looking for (5).
3, 4, 5, 5, 7, 9
Step 3: Eliminate answer choices.
Median and mode? Yes.
Mean ( Adding all the numbers and dividing it by however many numbers there are )? No.
Mode ( a number that appears most frequently )? Yes, but the answer is A.
Median ( When you put them in order the number in the middle)? Yes, but the answer is A.)
A 12 pack of soda is roughly $2.52. What is the cost per one can of soda?
Answer:
$2.52/12= $.21
the cost of one can of soda is $.21
Step-by-step explanation:
Answer:
$0.21 per can.
Step-by-step explanation:
You divide the amount of money for all 12 cans by 12.
2.52/12=0.21
Enter the equation of the circle with C(5, -13) and radius r = 36.
Answer:
(x+3)²+y²=36
Step-by-step explanation:
The equation of a circle is
( x − h ) ² + ( y − k ) ² = r ² , where ( h , k ) is the center and r is the radius.
If the center is at ( − 3 , 0 ) and the endpoint of the radius is at ( 3 , 0 )
, then the length of the radius is the distance between the two points, which is 3 − ( − 3 ) = 6 .
We can substitute
(
−
3
,
0
)
for
(
h
,
k
)
, and
6
for
r
.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
(
x
−
(
−
3
)
)
2
+
(
y
−
0
)
2
=
6
2
(
x
+
3
)
2
+
y
2
=
36
Daniel created an intersection with his race track. One of the angles at the intersection is 55°. What are the three other angle measurements formed by the intersection?
Answer:
55, 125 and 125
Step-by-step explanation:
In this question, we are asked to find the other 3 angles in an intersection.
Please check attachment for what the diagram of the intersection might look like.
The intersection consists simply of 4 angles meeting at a point with the 2 angles on each side vertically opposite to the angles on the other side.
since one of the angles is 55, and we are having a straight line, the other angle would be 180-55 = 125.[ sum of angles on a straight line is 180]
These two angles are vertically opposite, this means that the other three angles are 55,125 and 125.
Jada traveled 135 miles in 3 hours.Andre traveled 228 miles in 6 hours.Both jada and Andre traveled at a constant speed
Answer:
(a) 45 miles
(b) 38 miles
(c) Jada travels faster than Andre.
Step-by-step explanation:
(a) First we calculate the speed at which Jada travelled:
[tex]Speed = \frac{distance}{time} \\\\\\s = \frac{d}{t}[/tex]
[tex]s = \frac{135}{3} \\\\\\s = 45 miles/hour[/tex]
Since Jada travels at constant speed throughout the journey, we can calculate the distance traveled in 1 hour:
[tex]distance = speed * time\\\\\\distance = 45 * 1[/tex]
distance = 45 miles
Jada travels 45 miles in 1 hour.
(b) We calculate the speed at which Andre travelled:
[tex]Speed = \frac{distance}{time} \\\\\\s = \frac{d}{t}[/tex]
[tex]s = \frac{228}{6} \\\\\\s = 38 miles/hour[/tex]
Since Andre travels at constant speed throughout the journey, we can calculate the distance traveled in 1 hour:
[tex]distance = speed * time\\\\\\distance = 38 * 1[/tex]
distance = 38 miles
Andre travels 38 miles in 1 hour.
(c) Jada travels faster than Andre because he has a higher speed (45 miles/hour) than Andre ( 38 miles/hour).
Is the following real-world scenario a Quadratic, Exponential, or Linear function?
"A library has 8000 books, and purchases 500 more books each year."
Answers
(A)Quadratic Model
(B)Exponential Model
(C)Linear Model
(D)None of the Above
Answer:
C: Linear model
Step-by-step explanation:
Determine which of the following statements must be true. PLEASE HELP !!
Answer:
HA < CH because MHA is a right triangle and CAH is an acute triangle which means that it is smaller
Step-by-step explanation:
Answer:
HM > CH
Step-by-step explanation:
In ∆ HAM,
m<HAM=90°
and, in ∆ CHK
m<HKC= 73°
angle HAM > angle HKC
Therefore, side opposite to angle HAM > side opposite to angle HKC
or, HM > CHThe scale for a model car is 2 inches : 2 feet. What is the height of the
actual car in feet?
Answer:
11 ft by 5.5 ft
Step-by-step explanation:
The scale is 2in for 2 ft or 1in for 1ft
This means that you can just take the number in inches and change it to feet. Therefore 11 inches turns to 11 feet and 5.5 inches turns into 5.5 feet.
Find the quotient. (3.683 × 104) (7.51 × 1012) What is the solution in scientific notation?
A.4.9041 × (-9)10
B.4.9041 × 10-9
C.4.9041 × 109
D.4.9041 × 910
Answer:
B
Step-by-step explanation:
[tex]\frac{3.683 \times 10^4}{7.51 \times 10^{12}} \\=\frac{36.83 \times 10^3}{7.51 \times 10^{12}} \\=\frac{36.83}{7.51} \times 10^{3-12}\\ \approx 4.9041 \times 10^{-9}[/tex]
The quotient in the scientific notation form will be 4.9041 × 10⁻⁹. The correct option is B.
What is a scientific notation?Scientific notation can be used to indicate numbers that are either too big or too little to be conveniently stated in decimal form. It may be called scientific form.
Standard notation is the practice of writing a number using nothing but its digits. This is how numbers are usually expressed because traditional number notation does not utilize words.
Given that the two numbers are (3.683 × 10⁴) and (7.51 × 10¹²). The quotient will be calculated as:-
Quotient = (3.683 × 10⁴) ÷ (7.51 × 10¹²)
Quotient = 0.49 x 10⁻⁸
Quotient = 4.9 x 10⁻⁹
The quotient will be 4.9041 × 10⁻⁹.
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I'm having trouble with solving logs...can anyone please explain how to solve these two?
#19
[tex]a) 3-3log30\\\\b) \frac{1}{3} log_{6} (8w^6)[/tex]
Answer:
A.) [tex]3-3\log _{10}\left(30\right)[/tex] or -1.43136... (Decimal Form)
B.) [tex]\log _6\left(2\right)+2\log _6\left(w\right)[/tex]
Explanation: I inserted image to explain how to solve the second one, but for the first one you can't go any further except writing it in standard form or changing it into a decimal.
Your welcome :3
Wendy already owns 3 necklaces, and addictions necklaces are priced at One for a dollar how much money does when do you need to spend on your necklace is in order to own a total of 12 necklaces
Answer: $9
Step-by-step explanation: If Wendy wants to own a total of 12 necklaces, that means Wendy wants to buy 9 more necklaces, since she already owns 3. We know that each necklace is a dollar.
So if Wendy buys 9 necklaces for a dollar each, then the total price will be $9 for Wendy to own a total of 12 necklaces.
( 9 x 1 = 9)
Wendy has 3 necklaces, and she needs a total of 12. So 12 - 3 is 9. She'll need to buy 9 more necklaces.
If each necklace cost $1, that means for 9 necklaces she will spend $9.
1 × 9 = 9
That means $9 has to be spent, in order to own 12 necklaces.
Expand: In 2a^3/b^4
In 2 + 3 In a - 4 In b
In 2 - 3 In a - 4 In b
In 2 - 3 In a + 4 In b
Answer:
ln(2) +3ln(a) -4ln(b)
Step-by-step explanation:
[tex]\ln{\left(\dfrac{2a^3}{b^4}\right)}=\ln{(2a^3b^{-4})}=\ln{(2)}+\ln{(a^3)}+\ln{(b^{-4})}\\\\=\boxed{\ln{(2)}+3\ln{(a)}-4\ln{(b)}}[/tex]
__
The applicable rules of logarithms are ...
log(ab) = log(a)+log(b)
log(a^b) = b·log(a)
Final answer:
To expand the expression In 2a³/b⁴, you apply logarithm properties to obtain In 2 + 3 In a - 4 In b, which separates the factors into individual log terms.
Explanation:
The question asks us to expand the logarithmic expression In 2a³/b⁴ using logarithm properties. The correct expansion of this expression is given by the sum of the logarithms of the numerator's factors minus the sum of the logarithms of the denominator's factors. Applying the properties of logarithms (product to sum and quotient to difference), we obtain the expansion as follows:
In 2a³/b⁴ = In 2 + In a³ - In b⁴
The logarithm of a power (such as In a³ and In b⁴) can be brought down as a coefficient:
In 2 + 3 In a - 4 In b
Thus, the correct expansion is In 2 + 3 In a - 4 In b.
A researcher teaches rats to recognize a specific object that by giving them their favorite treat when they touched the object. To measure their ability to recognize the specific object a week later, she records the number of times the rat touches the specific object compared to a different object. It was hypothesized that the rats would touch the specific object more than the different object to demonstrate what they learned about the specific object. If the researcher tested this hypothesis at a .05 level of significance and computes a test statistic of t = 2.842 in a sample of 28 rats, what is the degree of freedom for the test?
Answer:
The degree of freedom for the test is 27.
Step-by-step explanation:
The experiment performed by the researcher is to determine the number of time the rat touches the specific object compared to a different object.
The parameter under study is the mean number of times the rat touches the specific object.
The hypothesis for the test is defined as:
H₀: The mean number of times the rat touches the specific object is not more than that for a different object, i.e. μ ≤ μ₀.
Hₐ: The mean number of times the rat touches the specific object is more than that for a different object, i.e. μ > μ₀.
A t-test for single mean is performed.
The information provided is:
α = 0.05
t = 2.842
n = 28
The degrees of freedom for a single mean t-test is:
df = (n - 1)
= 28 - 1
= 27
Thus, the degree of freedom for the test is 27.
What is the equation of a line that is parallel to y=0.6x + 3 and passes through the point (-3,-5)
Answer:
y=0.6x-3.2
Step-by-step explanation:
Prompt
Describe a simulation used to determine a game of darts.
Answer:
anonymous simulation
Answer:
Anonymous simulation would be used to determine a game of darts.
Step-by-step explanation:
got this correct on EDGE2021
A right triangle has a height of 20 centimeters and a base of 10 centimeters. What is the area of the triangle?
Answer:
100 cm^2
Step-by-step explanation:
The formula for triangle area is L x W / 2.
20 x 10 = 200
200 / 2 = 100
Answer:
100
Step-by-step explanation:
the area is given by half base times height and we are already given the base and the height so take a half times 10 times 20 .
514) 30 + 38(n +22) = -33(n +34)
expand the brackets
Answer:
CHALLENGE ACCEPTED!
Step-by-step explanation:
15420 + 38N + 836 = -33N - 1122
15420 + 836 + 1122 = -333N -38N
17378 = -371N
N = -46.8
A jewellery shop sells 240 neck less in a month.180 of the neck less were sold via the shop website, the rest were sold in a high street shop. work out the ratio of online sales to shop sales.
Answer:
The ratio is 3:1
Step-by-step explanation:
Let
x --->number of neck less sold via the shop website
y --->number of neck less sold in a high street shop
we know that
To find out the ratio of online sales to shop sales, simply divided the number of neck less sold via the shop website by the number of neck less sold in a high street shop
so
[tex]ratio=\frac{x}{y}[/tex]
we have
[tex]x+y=240[/tex] ----> equation A
[tex]x=180[/tex] ---> given value
substitute the value of x in the equation A
[tex]180+y=240[/tex]
solve for y
[tex]y=240-180=60[/tex]
Find the ratio
[tex]ratio=\frac{180}{60}[/tex]
[tex]ratio=\frac{3}{1}[/tex]
Which two numbers go into the blanks so they add to be the bottom number but also multiply to be the top?
Answer:
8 and 6
Step-by-step explanation:
8 * 6 = 48
8 + 6 = 14
If 1 = 2x + 6 and 2 = -x + 24, find 1 and 2.
Given:
∠1 = 2x+6 ans ∠2= -x+24
To find the values of ∠1 and ∠2.
Formula:
The values of the vertical angles are always equal.
Here,
∠1 and ∠2 are vertical angles.
So, by this condition,
∠1=∠2
or,[tex]2x+6 = -x+24[/tex]
or, [tex]2x+x = 24-6[/tex] [ Taking all the variables in one side and all the constant in other side]
or, [tex]3x = 18\\[/tex]
or, [tex]x = \frac{18}{3}[/tex]
or, [tex]x = 6[/tex]
So,
∠1 = [tex]2(6)+6 = 18^\circ[/tex]
∠2 =[tex]-6+24 = 18^\circ[/tex]
Hence,
The values of ∠1 and ∠2 are 18°.
If the mean salary of high school teachers In the United States is $42,335 and the standard deviation is 2,000 the probability that a randomly selected teacher will make more than $40,542 per year
Answer: The probability that a randomly selected teacher will make more than $40,542 per year is 0.82
Step-by-step explanation:
Looking at the information given, the population mean and population standard deviation are known. We would apply the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
From the information given,
µ = $42335
σ = 2000
x = $40542
The probability that a randomly selected teacher will make more than $40,542 per year is expressed as
P(x > 40542) = 1 - P(x ≤ 40542)
For P(x ≤ 40542),
z = (40542 - 42335)/2000 = - 0.9
Looking at the normal distribution table, the probability corresponding to the z score is 0.18
P(x > 40542) = 1 - 0.18 = 0.82
what’s the answer is ?
Answer:
A. Tina + 2 = Tony
Step-by-step explanation:
You're only adding 2 since Tina's brother is 2 years older than her.
Answer:
A: Tina +2 = Tony
Step-by-step explanation:
Since TINA is 2 years OLDER than TONY. You need to add 2 to Tina's age to get Tonys'
do i use sin cos or tan to solve this problem
u use sin and just do sin(x)=29/34 and then use inverse sin
84 is what percent of 300
84 of 300 is 252.
84% × 300 =
84 ÷ 100 × 300 =
84 × 300 ÷ 100 =
25200 ÷ 100 =
252
WILL MARK BRAINLIEST
(see picture attached)
Answer choices:
4
6
12
24
Answer:
Step-by-step explanation:
24 i think so
charlie can make 125 pizzas in 5 hours. how many pizzas can he make in one hour?
Answer:
25
Step-by-step explanation:
125 in 5 hours
125/5= 25
25 in 1 hour
Final answer:
To find out how many pizzas Charlie can make in one hour, divide the total number of pizzas he can make by the total number of hours he spends making them. Charlie can make 25 pizzas in one hour.
Explanation:
To find out how many pizzas Charlie can make in one hour, we need to divide the total number of pizzas he can make (125) by the total number of hours he spends making them (5).
So, the calculation would be: 125 pizzas / 5 hours = 25 pizzas per hour
Therefore, Charlie can make 25 pizzas in one hour.
A sweater is marked down 30% off the original price. The original price was $37.50. What is the sale price of the sweater before tax?
Answer:
26.25
Step-by-step explanation: