Answer:
5 sides
Step-by-step explanation:
A polygon includes the shape pentagon which has 5 sides.
If n are number of sides of a convex polygon, sum of its interior angles is 540 degrees.
As in given case sum of interior angles is 540°, we have
( n − 2 ) × 180 ° = 540°
When we solve this equation, we get 5 sides.
We can check this by plugging 5 into n, so the equation is
(5 - 2) x 180° = 540, this becomes...
3 x 180 = 540; this is correct so you answer is 5 sides.
Which choice is equivalent to the product below for acceptable values of x?
Answer:
the answer to the question is c
The equivalent expression to the equation is A = √ ( x² - 9 )
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = √ ( x + 3 ) .√( x - 3 )
Now , on simplifying the roots of the equation , we get
A = √ ( x + 3 ) ( x - 3 )
The value of ( a + b ) ( a - b ) = a² - b²
So , on further simplification , we get
A = √ ( x² - 9 )
Therefore , the equivalent expression of A is √ ( x² - 9 )
Hence , the equation is A = √ ( x² - 9 )
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Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?
Answer:
8:15
or 8/15
Step-by-step explanation:
8 out of 15
Answer:
8:15
Step-by-step explanation:
There are 8 red apples and total of 15 apples
1. The cost of using a telephone in a hotel meeting room is $0.20 per minute. Which of the
following equations represents the total cost, c, in dollars for h hours of phone use?
a c= 0.20(60h)
b c= 0.20 + 60
d =
Answer:
A is correct
Step-by-step explanation:
[tex]\frac{0.20}{1min}[/tex] = [tex]\frac{12.00\\}{1 hour}[/tex]
We can scale the ratio to give the most accurate answer.
0.20 X 60 = 12.00
*pls give brainlist*
- 63 y^5
27y^7
- 18y^9
Take out the common factor
Answer:
[tex]Factor = 9y^5[/tex]
Step-by-step explanation:
Given
- 63 y^5 , 27y^7 and 18y^9
Required
Remove the common factor
Factorize each expression:
[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]
[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]
[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]
The common factor in the above expression is:
[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]
[tex]Factor = 9y^5[/tex]
Rosa wants to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.
PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
$405,44
Step-by-step explanation:
First of all we have to find how much the tv cost after 15% of discount.
we can use this proportion
15 : 100 = x : 499.99
x = (15*499.99)/100 = $74.9985
then we have to subtract the initial value to the value of the discount
499.99-74.9985 = $424,9915
thanks to the card we can apply another 10%
10 : 100 = x : 424,9915
x = (424,9915 *10)/100 = $42,49915
424,9915-42,49915 = $382,49235
now we have to apply taxes
6:100 = x : 382,49235
x = $22,949541
382,49235 + 22,949541 = $405,441891
that can be rewrite as $405,44
If we want to write an equation to solve this problem we can use this
499.99 - (499.99 * 15/100) - 1/10[499.99-(499.99*15/100)] + 6/100{1/10[499.99-(499.99*15/100) = x
2. The weights of 14 students are as follows (in lbs.)
90, 100, 85, 110, 112, 120, 94, 87, 88, 103, 99, 90, 90, 88
a. Find all 3 measures of center for the following data set.
b. Create a dot plot by making a number line with an
appropriate scale (It does not need to start at O and go
up one by one)
c. Find the MAD and IQR of this data set.
d. Create a box plot and identify the minimum, Q1, Q2, Q3, and
maximum
Answer:
mad- 8.9796
iqr- 15
q1- 88
q2- 92
q3- 103
minimum- 85
maximum- 120
Step-by-step explanation:
the explanation is the picture **sorry i couldn't help with the dot plot**
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Question: Explain the Difference between an equation and an expression
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
Please help, if you’re correct I’ll mark you as brainiest!!!
Answer:
A
Step-by-step explanation:
950 is 95% of 1000
so he lost 5 percent, which can be represented as -5.0%
Answer:
Step-by-step explanation:
because the value went down.. we know the the rate of return , is negative. then we just have to think about , how much is 50 of 1000 ?? well 10 is 10% of 100 right? so 100 is 10% or 1000, right? sooo half of 100, or 50, is 5% of 1000,
so -5% is the return on investment (roi)
The sum of the interior angle measures of a convex polygon is 2520° . How many sides does it have?
Answer:
16
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(2520 / 180) + 2 = 16 sides
2) As a wildlife biologist you are currently researching feral pigs in Texas and need to collect data to yield the average weight of a mature female feral pig in Texas. Which type of study is most suitable for data collection in this situation? A) experimental B) Census sampling Eliminate D) simulation
Answer:
Step-by-step explanation:
C sampling
Look at the pattern shown below.
2, 4, 16, 256 ...
What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?
A. (F(n))^2
B. 2(f(n))
C. (F(n)-1)^2
D. 2(f(n)-1)
Answer: (a)
Step-by-step explanation:
Given
The pattern is 2, 4, 16, 256...
From the pattern, we can see that the next term is square of the previous i.e.
[tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex][tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex]
So, for the [tex]n^{th}[/tex] term, the function is [tex]f(n)[/tex]
For the next term, it is [tex]f(n+1)[/tex]
So,
[tex]\Rightarrow f(n+1)=[f(n)]^2[/tex]
Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is approx. normal.
DATA: 202, 164, 157, 177, 113, 213202, 164, 157, 177, 113, 213.
Based on a 98% confidence interval for the mean magnesium ion concentration, is it reasonable to believe that the mean magnesium ion concentration may be greater than 195?
Answer:
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
Step-by-step explanation:
The six measurements are:
202, 164, 157, 177, 113, 213
Sample mean:
Sum of all values divided by the number of values which is 6. So
[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]
Sample standard deviation:
Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So
[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]
Confidence interval
We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 6 - 1 = 5
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm
The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.
Answer:
a=41.2
Step-by-step explanation:
a^2 + (30)^2. =51^2
a^2+900=2601
-900. -900
a^2= +\- square root 1701
a=41.243181
a=41.2
escribe en forma de potencia y encuentra el valor
((-9)²)³
Answer:
Step-by-step explanation:
Answer:
531441
Step-by-step explanation:
using multiplicative law of indices
2 by 3 Is 6
so, -9⁶=531441
Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills
Answer:
[tex]Change = \$8[/tex]
Step-by-step explanation:
Given
[tex]Bills = $20\ bills[/tex] (4)
[tex]Shirt = \$42[/tex]
[tex]Sweater= \$30[/tex]
Required
The change
First, we determine the amount paid,
To do this, multiply the number of bills by the worth of each bill.
So, we have:
[tex]Amount = 4 * \$20[/tex]
[tex]Amount = \$80[/tex]
Next, calculate the worth if item bought
[tex]Items = \$42 + \$30[/tex]
[tex]Items = \$72[/tex]
Subtract the items from the amount to get the change.
[tex]Change = \$80 - \$72[/tex]
[tex]Change = \$8[/tex]
MAJOR HELP PLSSS!!!!!
Young company expects to double their profits every year for the next 10 years. If their profits were $5000 this year, which expression represents the profits after 10 years
A.5,000x2x10
B.5,000x2^10
C.5,000^2x10
D.5,000^10
Answer:
Suppose profits were $1
At 1 yr profit = 2 (2)^1
2 yr = 4 (2)^2
3 yr = 8 (2)^3
10 yr = 1024 (2)^10
So the correct answer should be 5000 * (2)^10
prove trigonometric identity:
[tex] { \sin}^{2} + \cos ^{2} = 1[/tex]
Please show proof and explanation I really need help
from the pic above, hope it helps you
Pls help meee show work if you can ty
Rewrite each if the following division problems as a multiplication problem.
a. 24/3 = 8
b. 336/8 = x
9514 1404 393
Answer:
a. 24 = 8·3
b. 336 = 8·x
Step-by-step explanation:
A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).
a/b = c ⇔ a = bc
__
a. 24/3 = 8 ⇒ 24 = 3·8
b. 336/8 = x ⇒ 336 = 8x
4x + 3 2x+9 solve for x
Answer:
The value of x is 28°
Step-by-step explanation:
Here, In a given figure
4x + 3° ...(1)
2x + 9° ...(2)
Now, we know that the sum of all angle is 180° on a straight line
So,
4x + 3° + 2x + 9° = 180°
6x + 12° = 180°
6x = 180° - 12°
6x = 168°
x = 168° ÷ 6
x = 28°
Thus, The value of x is 28°
FOR VERIFICATION ONLY:-4x + 3° + 2x + 9° = 180°
4(28) + 3° + 2(28) + 9° = 180°
112° + 3° + 56° + 9° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?
A. 5 years.
B. 7 years.
C. 9 years.
D. 11 years.
Joe has read 80% of a book. He has 6 more pages to finish. How many pages are there in the book?
Answer:
30 pages in this book
Step-by-step explanation:
20% is equal 6 pages
so 80% is equal (80/20)*6+6=30
How many solutions will the equation have?
|x- 13| - 5= -5
Answer: x=13
Step-by-step explanation: Hope this help :D
Answer:
One Solution
__________
x = 13
__________
Explanation:
| x – 13 | – 5 = -5
[Add 5 to both sides to isolate | x – 13 | and cancel out –5]
| x – 13 | – 5 + 5 = -5 + 5
[Reduce]
| x – 13 | = 0
[An absolute value can include both a positive and negative value so |x| = n → x = ±n ]
x – 13 = ± 0
[Add 13 to both sides to get the value of x]
x – 13 + 13 = 13 ± 0
x = 13 ± 0
[Adding or subtracting zero will leave you with the same number]
x = 13
What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84
Answer:
below
Step-by-step explanation:
first count them up
17
divide it by 16 its d
The probability of picking any color balloon except for red at random is 82%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Red balloon = 3
Blue balloon = 2
Pink balloon = 2
Green balloon = 2
Orange balloon = 2
light Blue = 1
Yellow balloon = 2
Purple balloon = 2
So, the probability of picking any color balloon except for red at random
= 13/ 16 x 100
= 81.25 %
Thus, the required percentage is 82%.
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help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)
b = 9
x = 9
PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
Answer:
y = ½x + 8
Step-by-step explanation:
The equation of the function can be written in the slope-intercept form y = mx + b.
m = slope = change in y/change in x
b = y-intercept = the value of y when x is zero
✔️From the table, when x = 0, y is 8.
Therefore,
y-intecept (b) = 8
✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):
m = (9 - 6)/(2 -(-4))
m = 3/6
m = ½
✔️Next is to plug in the values of m and b into y = mx + b.
Thus:
y = ½x + 8
In the image above x=4 cm and y=8 cm. Find the surface area of the figure. (Note: Figure is not to scale.)
Answer:
96
Step-by-step explanation:
4×8×3=96 is the surface area
A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of
square prism with a base area of 16 square inches and a height of 4 25 inches
Part B What is the surface area, in square inches, of the package?
Answer:
I think it would be 6800 square in because you just have to multiply 16 by 425.... Sorry if it is wrong
Step-by-step explanation:
please i’ve gotten two wrong and i need to pass this
Answer:5 and 92
Step-by-step explanation:
Answer:
Step-by-step explanation:
what's the answer choices ??