The expression (6 x 5) / 9 simplifies to 10/3 in its simplest form.
We have,
To simplify the expression (6 x 5) / 9 as a fraction in simplest form, first perform the multiplication:
= (6 x 5) / 9
= 30 / 9
To simplify this fraction, divide both the numerator and denominator by their greatest common divisor (GCD), which in this case is 3:
= 30 / 9
= (30 ÷ 3) / (9 ÷ 3)
= 10 / 3
Therefore,
The expression (6 x 5) / 9 simplifies to 10/3 in its simplest form.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ6
Can Some one help PLEASEE
The variable x is 9 and the two adjacent angles have measures of 117° and 63°, respectively.
How to find the variable associated to the measure of two angles in a parallelogram
Parallelograms are quadrilaterals with two pairs of parallel sides of equal length. According to Euclidean geometry, the measures of two adjacent angles in a parallelogram are supplementary. Thus,
13 · x + 7 · x = 180°
Now we clear the variable x:
20 · x = 180°
x = 9
And the missing angles are:
13 · 9 = 117°
7 · 9 = 63°
The value of the variable x is 9 and the measures of the two adjacent angles are 117° and 63°, respectively.
To learn more on parallelograms: https://brainly.com/question/11220936
#SPJ1
if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
which of the following will increase the power of a statistical test? a. none of the other options will increase power b. change the variability of the scores from 20 to 100 c. change the sample size from n
Change the sample size from n will increase the power of a statistical test. The correct answer is C.
Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.
This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.
The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.
Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.
Learn more about statistical power at https://brainly.com/question/30457957
#SPJ11
Monica deposits $ 300 into a savings account that pays a simple interest rate of 3.4%. Paul deposits $400 into a savings account that pays a simple interest rate of 3.3 %. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Monica's claim is incorrect. Even though her interest rate is higher, she will earn less interest, $10.20, after one year than Paul because her initial deposit is lower.
Paul will earn more interest of $13.20 because he deposited more money, even though his interest rate is slightly lower.
To determine who will earn more interest in one year, we shall calculate the interest earned by each person using the simple interest formula.
What is the simple interest formula?The formula for simple interest is:
I = P * r * t
where:
I = the interest earned
P = the principal (the amount deposited)
r = the interest rate (as a decimal)
t =s the time (in years)
For Monica, we are given:
P = $300
r = 0.034 (the interest rate is 3.4%)
t = 1 (the interest earned in one year)
Plugging these values, we have:
I = 300 * 0.034 * 1 = $10.20
So, Monica will earn $10.20 in interest after one year.
For Paul, we are given:
P = $400
r = 0.033 (interest rate = 3.3%)
t = 1 (interest earned in one year)
Plugging the values, we get:
I = 400 * 0.033 * 1 = $13.20
So, Paul will earn $13.20 in interest after one year.
Therefore, Monica's claim is incorrect. Monica will earn $10.20 in interest after one year while Paul will earn $13.20 in interest after one year.
Learn more about simple interest at brainly.com/question/25845758
#SPJ1
ami and ria are playing a game where one of them would pick a card and the other would guess the number' it is a odd number its compositenumber by 3 differnet prime numbers which one of the folowing could be ria's guess ............. A;30 B;75 C;189 D;315
Answer:
\(\huge \boxed{\mathrm{\bold{D.} \ 315}}\)
Step-by-step explanation:
Odd numbers from the list are 75, 189, and 315.
75, 189, and 315, are composite numbers.
Prime factorization of 75 = 3 × 5 × 5
Prime factorization of 189 = 3 × 3 × 3 × 7
Prime factorization of 315 = 3 × 3 × 5 × 7
315 is an odd number, and a composite number that is divisible by 3 different prime numbers.
Step-by-step explanation:
Odd numbers from the list are 75, 189, and 315.
75, 189, and 315, are composite numbers.
Prime factorization of 75 = 3 × 5 × 5
Prime factorization of 189 = 3 × 3 × 3 × 7
Prime factorization of 315 = 3 × 3 × 5 × 7
315 is an odd number, and a composite number that is divisible by 3 different prime numbers.
15. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth if necessary.
9 km
3
O 3420.2 km
1974.1 km
Answer:
The Correct Answer is option C.) \(3052.1 km^{3}\)
GUYS PLEASE HELP ME! Brainliest.
A dilation with a scale factor of 1/2 is applied to the three sides of Triangle ABC to
create Triangle A'B'C'.
The side lengths of Triangle ABC are: A = 4ft, B = 3ft, C = 5ft.
What are the lengths of the sides on the new Triangle A'B'C'?
A. A' = 8ft, B' = 6ft, C' = 10ft
B. A' = 2ft, B' = 1.5ft, C' = 2.5ft
C. A' = 3.5ft, B' = 2.5ft, C' = 4.5ft
D. A' = 4.5ft, B' = 3.5ft, C' = 5.5ft
Answer:
I think it's B or A. Im not sure. sorry if i'm wrong.
PLEASE HELPPPPP ASAPPP
Answer:
y = (-3/5)x - 7
Step-by-step explanation:
you are given the points (5,-10), (-10,-1)
a slope of (-1+10)/(-10-5) = -9/15 = -3/5 can be determined
using the point (0,-7), we can get y+7=(-3/5)(x - 0)
simplified: y = (-3/5)x - 7
Please help im really confused
Answer:
A=235 cm 2
Step-by-step explanation:
A1=L x W
A1=9 x 20 180 + 55=235
A1=180cm 2
A2= L x W
A2=11 x 5
A2=55 cm2
Answer:
\(246 {cm}^{2} \)
hope this helps
brainliest appreciated
good luck! have a nice day!
Simplify using Quotient
Rule
10^12 OVER 10^8
Answer:
\(10^4\)
Step-by-step explanation:
All you have to di is subtract the exponents.
Please help!!!!!
!!!!
Answer:
C.
Step-by-step explanation:
Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length (1p 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35°. To the nearest hundredth, find the search area.
a. 2.08 mi²
b. 2.97 mi²
c. 1.49 mi²
d. 1.04 mi²
Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length (1p 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35°. The search area is approximately 1.49 mi².
The search area of the sunken ship can be found by using the formula for the area of a triangle, which is given by A = (1/2) * a * b * sin(C), where a and b are the lengths of the adjacent sides of the triangle, and C is the angle between those sides.
Given that the adjacent sides have lengths of 1.75 miles and 1.32 miles, and the angle between them is 35°, we can substitute these values into the formula: A = (1/2) * 1.75 * 1.32 * sin(35°)
Evaluating the expression:
A ≈ (1/2) * 1.75 * 1.32 * 0.5736
A ≈ 1.493 mi²
Rounding the result to the nearest hundredth, the search area of the sunken ship is approximately 1.49 mi².
Visit here to learn more about triangle:
brainly.com/question/17335144
#SPJ11
Please help help help
The value of the mean is 3 for normal curve C and the value of the mean is 4 for the normal curve D, and for both data standard deviation is the same.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have a normal distribution curve shown in the picture.
For the normal curve C:
The value of mean = 3 (draw a vertical line in the middle of the curve)
For the normal curve D:
The value of mean = 4 (draw a vertical line in the middle of the curve)
For both data standard deviation is the same.
Thus, the value of the mean is 3 for normal curve C and the value of the mean is 4 for the normal curve D, and for both data standard deviation is the same.
Learn more about the normal distribution here:
brainly.com/question/12421652
#SPJ1
Hey ya'll I need help with can anyone help please
is 3 a solution of 5x - 3= 12? justify your answer
Answer:
x = 3
Step-by-step explanation:
Given
5x - 3 = 12 ( add 3 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
As a check
Substitute x = 3 into the left side of the equation and if equal to the right side then it is a solution.
5(3) - 3 = 15 - 3 = 12 = right side
Thus x = 3 is the solution
For the following isosceles triangle what are the values of A B X and y?
An isosceles triangle has 2 equal sides and 2 equal angles
y = 15
To find x apply Pythagorean theorem:
c^2 = a^2 + b^2
where:
c= hypotenuse
a&b= the other two legs of the triangle:
x^2 = 15^2 + 15^2
x ^2 = 225 + 225
x^2 = 450
x = √450
x= 21.21
One given angle is a right angle (90°).
The sum of interior angles of a triangle is 180°.
90 + A + B = 180
A=B
90 +2A=180
2A= 180-90
2A=90
A=90/2
A=45
B= 45
A=45
B=45
x= 21.21°
y= 15
pls helpppp
tysmmmm!!
oh i just watched a vid for that lol. That question was on it.. here <3
https://www.you tube.com/watch?v=dQw4w9WgXcQ
Some two-step equations can be written in the form ax + b = c, where a, b, and c are constants and x is the variable. a. Write the equation ax + b = cin terms of x. b. Use the formula to solve 3x + 7 = 19 and x-1=5.
a. the equation of the formula in terms of x is: x = (c - b)/a
b. x = 4 and x = 6
How to Solve an Equation?Where we have a, b, and c as constants of the equation, ax + b = c, and the variable is x, we can solve for the value of x as shown below:
ax + b = c
Subtract b from both sides
ax - b = c - b
ax = c - b
Divide both sides by a
ax/a = c/a - b/a
x = c/a - b/a
x = (c - b)/a
b. 3x + 7 = 19
a = 3, b = 7, and c = 19
Substitute a = 3, b = 7, and c = 19 into x = (c - b)/a
x = (19 - 7)/3
x = (12)/3
x = 4
x - 1 = 5
a = 1, b = -1, and c = 5
Substitute a = 1, b = -1, and c = 5 into x = (c - b)/a
x = (5 - (-1))/1
x = 6/1
x = 6
In summary, we have:
a. the equation of the formula in terms of x is: x = (c - b)/a
b. x = 4 and x = 6
Learn more about equations on:
https://brainly.com/question/25678139
#SPJ1
There are four geometry teachers. What is the probability that you got ME as your teacher?
Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
Answer:
25% or 1/4
Step-by-step explanation:
(I'm not sure if this is the answer you were looking for so let me know if I'm wrong)
If there are four possible teachers and an equal chance in getting each teacher, it is 1/4 or 25% likely to receive any teacher.
What is the distance between -6 2/3 and 4 1/3 on a number line, in units?
Select ALL that apply.
The distance between the points = |-6 2/3 - 4 1/3| = |-20/3 - 13/3| = |-33/3| = |-11| = 11 units.
How to Find the Distance between Two Points on a Number Line?The distance between two points on a number line is the absolute difference between their coordinates.
Given the following points are on a number line:
-6 2/3 and 4 1/3
The distance between the points = |-6 2/3 - 4 1/3|
The distance between the points = |-20/3 - 13/3|
The distance between the points = |(-20 - 13)/3|
The distance between the points = |-33/3| = |-11|
The distance between the points = 11 units.
Learn more about distance on a number line on:
https://brainly.com/question/5635877
#SPJ1
The lengths of the sides of a right triangle are in
the extended ratio 5:12:13. The perimeter of
the triangle is 120 inches. What are the lengths
of the sides?
The lengths of the sides of a right triangle are in the extended ratio 5:12:13. The perimeter of the triangle is 120 inches are: 20, 48, 52.
How can the lenght be calculated?The first side has length 5x
The second side has length 12x
The third side has length 13x
Then the expression for this can be written as : 5x + 12x + 13x = 120
x = 120/(5 + 12 + 13) = 120/30 = 4
Then,
The first side has length 5x= 5*4=20
The second side has length 12x=1`2*4=48
The third side has length 13x= 13*4 = 52
Then the The lengths of the 3 sides are 20, 48, 52
Learn more about triangle at:
https://brainly.com/question/17335144
#SPJ1
What percent of 72 is 9? 1/8% 1 1/4% 12 1/2% 125%
Answer:
\(12\dfrac 12\%\)
Step by step explanation:
\(\text{Let it be}~ x\%,\\\\~~~~~72 \cdot x \% = 9\\\\\\\implies 72\cdot \dfrac{x}{100} = 9\\\\\\\implies x = \dfrac{9 \times 100}{72}\\\\\\\implies x = \dfrac{100}{8}\\\\\\\implies x = \dfrac{25}2\\\\\\\implies x = 12 \dfrac 12\\\\\\\text{Hence 9 is}~ 12\dfrac 12\% ~ \text{of}~ 72\)
Translate this phrase into an algebraic expression, Nine more than the quotient of a number and 7 is 6
Answer:
x/7 + 9 = 6
Step-by-step explanation:
Hope this helps! Please give brainliest!
Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2
The answers, rounded to the appropriate number of significant figures, are as follows:
(a) 1.088 ×\(10^2\)
(b) 2.132
(c) 1.3331 ×\(10^1\) and
(d) 1.05.
Let's calculate the answers to the given operations using the appropriate number of significant figures.
(a) 8.370×1.3×10
To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:
8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)
Since the original numbers have four significant figures, we round the final answer to four significant figures:
1.088 × \(10^2\)
(b) 4.265/2.0
For division, we divide the decimal numbers:
4.265 ÷ 2.0 = 2.1325
Since both numbers have four significant figures, the answer should be rounded to four significant figures:
2.132
(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))
To multiply these numbers, we multiply the decimal numbers and add the exponents:
(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)
Since the original numbers have five significant figures, we round the final answer to five significant figures:
1.3331 × \(10^1\)
(d) \((1.11)^(^1^/^2^)\)
To calculate the square root, we raise the number to the power of 1/2:
\((1.11)^(^1^/^2^)\)= 1.0524
Since the original number has three significant figures, the answer should be rounded to three significant figures:
1.05
It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.
For more such information on: significant figures
https://brainly.com/question/30169
#SPJ8
town k and l are shown on the map
Answer:
a) 100 km
b) check the photo of my work
c) 117 degrees
Step-by-step explanation:
To get full marks take a look at the photo of my work.
Question (b) use a compass and make sure it’s 3cm aiming down {South} as u can see in the photo, then draw a line aiming {South} with a ruler. On the end of the line you put the (x) point there to get the mark.
Thank you
Please help need it asap!! Need help with all!!
Answer:
CABD
Step-by-step explanation:
srry for late response mate i messed up half way thru
if you write this number in standard notation (or decimal notation), how many zeros would you include? 8.47 x 1012
In standard or decimal notation, the number 8.47 x 10^12 is written as 847 x 10^10. So there are 10 zeroes included in the standard or decimal notation of 8.47 x 10^12.
To convert from scientific notation to standard notation, we move the decimal point to the right or left by the number of places specified by the exponent . The exponent tells us how many places the decimal point should be moved.
The number 8.47 x 10^12 is written in scientific notation. In scientific notation, a number is expressed as a product of a coefficient and a power of 10. The coefficient is 8.47 in this case, and the power of 10 is 12.
The power of 10 indicates the number of zeros that are included in the number. In this case, 10^12 means 10 multiplied by itself 12 times, which is equal to 10,000,000,000,000.
Therefore, the number 8.47 x 10^12 is equal to 8.47 x 10,000,000,000,000.
= 847 x 10^10
So there are 10 zeroes included in the standard or decimal notation of 8.47 x 10^12.
To learn more about decimal notation click on,
https://brainly.com/question/18233448
#SPJ4
Is this the right answer?
Answer:
Hello!
Number 2 and 4 is wrong, other than that everything else is all good.
\(2)\) \(6x^4 - 12x^5 + 90x^1^{3}\)
The Greatest common factor is 6x^4.
The GCF needs to have the smallest exponent from the variables.
The correct answer should be 6x^4 ( 1 - 2x + 15x^9)
\(4)\) \(x^2 - 36\)
x (x - 36) is wrong because if we use the distributive property, the answer would be x^2 - 36x. Notice that there shouldn't be a variable multiplying 36.
The correct answer would be (x - 6)(x + 6)
x^2 + 6x - 6x - 36
x^2 - 36.
Hope this helps!
Write a numerical expression for the phrase. Then simplify it.
The sum of -1 and 5 and 6.
What is the numerical expression for this phrase?
The numerical expression for this phrase is -1 + 5 + 6 and the simplified value is 10
How to determine the numerical expression?From the question, the mathematical statement is given as
The sum of -1 and 5 and 6.
In mathematics and agebra, the term "sum" or "summation" means addition
This means that
The sum of -1 and 5 and 6. implies that we write an expression that adds -1, 5 and 6
This is represented as
-1 + 5 + 6
When the expression is evaluated,
So, we have the following equation
-1 + 5 + 6 = 4 + 6
Solving further,
So, we have the following equation
-1 + 5 + 6 = 10
The expression cannot be solved further
So, we leave it like that
Hence, the mathematical expression of the statement is -1 + 5 + 6 and the value is 10
Read more about expression at
https://brainly.com/question/28826977
#SPJ1
a car travels along the highway to little rock a steady speed. when it begins it is 280 miles after 4 hours it 100
The function that describes the car's distance from little rocks would be option A; y = 45x + 280
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Point 1:
(x, y) = (0, 280)
Since we are told the car's initial position is 280 miles in the time 0 h
Point 2:
(x, y) = (4, 100)
Since we are told the car's final position is 100 miles after 4h.
Let's find the Slope :
m = 45
Now, the equation of the line is:
y = mx + b
y = 45x + 280
Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ1