Answers
Answer:
b
Step-by-step explanation:
The square root is the opposite of squaring
( sqrt(b))^2 =
sqrt(b) * sqrt(b)
b
Related Questions
A dresser is normally priced at $870. This weekend however, there is a sale where everything is 15% off. If the sales tax on items is 11.6%, what would be the total cost of the dresser?
Answers
Answer:
$825.28
Step-by-step explanation:
First, we need to calculate the 15% off sale:
870(0.85) = 739.50
Now, we will calculate and add on the sales tax:
739.50(1.116) = 825.28
So, the final price of the dresser will be $825.28
Hence, the total cost of the dresser is $ [tex]15.138[/tex].
What is the percentage?
Percentages are generally defined as a ratio of any value to the whole value multiplied by [tex]100[/tex].
The symbol used to represent the percentage is %. Percentage means a number or a ratio represented in the form of fractions of [tex]100[/tex]. It is represented using the percentage sign ‘%’.
Here given that,
A dresser is normally priced at $[tex]870[/tex]. This weekend however, there is a sale where everything is [tex]15[/tex]% off. If the sales tax on items is [tex]11.6[/tex]%,
Firstly we will calculate the [tex]15[/tex]% off sale is
[tex]15[/tex]%[tex]=\frac{15}{100}\\\\[/tex]
[tex]15[/tex]%[tex]=0.15[/tex]
So,[tex]870(0.15) =130.5[/tex]
Then,
[tex]\frac{11.6}{100}=0.116[/tex] %
The sales tax on items is [tex]11.6[/tex]% is
[tex]130.5(0.116)=15.138[/tex] $
Hence, the total cost of the dresser is $ [tex]15.138[/tex].
To know more about the percentage
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The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cubic
blocks can be stuffed in the pyramid?
Answer:
Answers
Answer:
10,583 flexible cubes
9915 rigid cubes
Step-by-step explanation:
The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height
Surface area = A + 1/2·p·s
The volume of the pyramid = 1/3×A×h
Where:
A = Area of the base = 20 × 20 = 400 ft²
h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)
h = √(80² - (20/2)²) = 30·√7
The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³
If the cubes are flexible, approximately 10,583 cubes
For rigid cubes we have
Given that the height of the pyramid = 30·√7
The slope of the pyramid = 30·√7/10 = 3·√7
So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)
The bottom can hold 400 cubes
The next layer can hold 19×19 = 361
3rd 361
4th 361
5th 324
6th 324
7th 324
8th 324
9th
Continuing, we get a total of about 9915 rigid cubes in the pyramid.
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? please help.
Answers
Answer:
the first and fourth quadrants
Step-by-step explanation:
We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.
Let's first analyze time:
Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants
Second let's analyze the temperature:
The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.
If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.
1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B
Answers
Answer:
C
Step-by-step explanation:
Equation A
16x - 7 = 11x - 32
(16x - 7) - 11x = (11x - 32) -11x
5x - 7 = -32
(5x - 7) + 7 = (-32) + 7
5x = -25
(5x)/5 = (-25)/5
x = -5
Equation B
-4x - 10 = 2x + 20
(-4x - 10) - 2x = (2x + 20) - 2x
-6x - 10 = 20
(-6x - 10) + 10 = (20) + 10
-6x = 30
(-6x)/-6 = (30)/-6
x = -5
Both Equation A and Equation B have a solution of -5.
A student takes a 48 question multiple choice quiz. The student is unprepared, so they guess on every question. The probability of guessing a correct answer is 1/4. Find the mean and standard deviation for the random variable
Answers
Answer:
[tex]Mean = 12[/tex]
[tex]Standard\ Deviation = 6[/tex]
Step-by-step explanation:
Given
Number of questions, n = 48
Probability of correct answer, p = 1/4
Required
- Find the mean
- Find the standard deviation
Using probability notations;
n = 48 and p = 1/4
Mean is calculated as follows;
[tex]Mean = np[/tex]
Substitute 48 for n and 1/4 for p
[tex]Mean = 48 * \frac{1}{4}[/tex]
[tex]Mean = \frac{48}{4}[/tex]
[tex]Mean = 12[/tex]
The Mean is 12
Calculating Standard Deviation (SD)
[tex]SD = \sqrt{np(1-p)}[/tex]
Substitute 48 for n and 1/4 for p
[tex]SD = \sqrt{48 * \frac{1}{4}(1-\frac{1}{4})}[/tex]
Solve the expression in the bracket
[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{4-1}{4})}[/tex]
[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{3}{4})}[/tex]
Open Bracket
[tex]SD = \sqrt{48 * \frac{1}{4}*\frac{3}{4}}[/tex]
[tex]SD = \sqrt{\frac{48 * 1 * 3}{4}}[/tex]
[tex]SD = \sqrt{\frac{144}{4}}[/tex]
[tex]SD = \sqrt{36}[/tex]
Take Square Root of 36
[tex]SD = 6[/tex]
The standard deviation is 6
Help I must get this correct and I will mark you a brainllest
Answers
Answer:
The correct option is 1.
Explanation:
The correct option is one because it means X is perpendicular to A and X is perpendicular to B.
If the two lines are perpendicular to a same line, then both lines are parallel to each other.
Here X⊥A and X⊥B. So, A║B.
help me is due today. I will give brainliest if you answer first and if it is correct;)
Answers
Answer:
a) is correct3n + 5
1. Substitute the numbers
3(5) + 5 = 15 + 5 = 20
2. Substitute the second number
3(6) + 5 = 18 + 5 = 23
b) Numbers are 8 and 16.This is because I realized I got the number of 4 last because I did 1*2 = 2.
Then I did 2*2 = 4.
So you have to multiply by two to get the next number. Or you can put it to the 4th or 5th exponent of 2.
1. 1
2. 1*2 = 2
3. 2*2 = 4
4. 4*2 = 85. 8*2 = 16The shape of a ball is circle true or false
Answers
Answer:
False
Step-by-step explanation:
A ball is a three dimensional object and it is spherical in shape.
Answer:
A ball is spherical
it's shaped like a sphere
Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the shorter diagonal is 18 feet. A rhombus is shown. Diagonals are drawn from each point to the opposite point and intersect at a point in the middle. The distance from the top point to the middle point is 12 feet. The distance from the right point to the middle point is 9 feet. What is the length of one side of the fenced-in garden? 12 ft 15 ft 21 ft 108 ft
Answers
Answer: b) 15 ft
Step-by-step explanation:
The diagonals intersect at a right angle (one of the properties of a rhombus).
Use Pythagorean Theorem to find the length of the side.
9² + 12² = c²
81 + 144 = c²
225 = c²
15 = c
Answer:
i got b!
Step-by-step explanation:
15 feet (:
Simplify the expression.
Write your answer without negative exponents.
Answers
Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]
Step-by-step explanation:
Any negative exponent can be moved to the other side of the fraction as a positive exponent.
Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4. Then, use the exponent rule to get 5a^2/-10a^4b^9
Hope it helps <3
the area of a triangle 17.5 square meters. The height of the triangle is 3 meters less than twice it’s base. the base of the triangle is x meters
Answers
Answer :
Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:
(2x-3) m
Thus the area will be:
Area=1/2bh
Area=1/2x(2x-3)=17.5
x^2-1.5x=17.5
Writing the above equation is quadratic form of ax^2+bx+c=0 we get:
x^2-1.5x-17.5=0
PLEASE HELP ASAP! IT'S EASY WORD PROBLEM!!!!!!!! My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?
Answers
Answer:
t = 2,22 h
Step-by-step explanation:
At the beginning with the first processor, we download in 5 hours the whole movie, then in 1 hour, that processor downloads 1/5 of the movie.
If with the two processors we download the movie in 4 hours in 1 hour we download 1/4 of the movie.
In 1 hour with the two processors, we get 1/4, and in 1 hour with the old processor we get 1/5
Then in 1-hour the old processor plus contribution of the new one will download 1/4 of the movie or
1/5 + x = 1/4
x = 1/4 - 1/5
x(h) = 5 + 4 /20 x = 9/20 or 0,45 of the movie in 1 hour
Working along the new processor will do 0,45 ( 9/20) in 1 hour, to finish the whole movie it will need to download 11/20
If in 1 hour download 9/20
x 11/20
x(r) = (11/20) / (9/20) = 11/9 x(r) = 1,22 (h)
Then total time for the new processor to download the movie is:
t = 1,22 + 1
t = 2,22 h
1. Irene is covering a flowerbed with mulch to protect the flowers. The flowerbed is made of
a semi-circle, a rectangle and a right-angle triangle as shown below.
3 m
2 m
4 m
I
a) Calculate the total area of the flowerbed. Show your work.
b) If a bag of mulch covers 5 m?, determine how many bags should be purchased in order
to cover the flowerbed. Show your work.
Answers
HALPPPPP Let g(x) = 2x and h(x) = x2 + 4. Evaluate each expression: g(-2) + h(4)
Answers
16
Explanation
Functions are:
g(x) = 2x and h(x) = x2 + 4
To evaluate g(-2) substitute x = -2 into the function.
2 • -2 = -4
To evaluate h(4) substitute x = 4 into the function.
4^2 + 4 = 20
Add the 2 functions
-4 + 20 = 16
Sphere A has a diameter of 2 and is dilated by a scale factor of 3 to create sphere B. What is the ratio of the volume of sphere A to sphere B?
A 2:6
B 4:36
C 1:3
D 1:27
Answers
Answer:
1:27
Step-by-step explanation:
I will use solve in terms of pi
Know that Original volume * scale factor cubed = new volume.
The scale factor is 3 and 3^3 is 27,
Therefore the ratio is 1:27
Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.
What are Scaled figures?Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
[tex]L = k \times M[/tex]
where 'k' will be called a scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²
to get each other corresponding quantities from their similar figures' quantities.
So the area of the first figure = k² × the area of the second figure
Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or
The volume of the first figure = k³ × volume of the second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,
Diameter of sphere B = 3 × Diameter of sphere A
= 3 × 2 units
= 6 units
Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,
[tex](\dfrac{\text{Diameter of sphere A}}{\text{Diameter of sphere B}})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} \\\\\\(\dfrac{2}{6})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}}\\\\\\\dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} = \dfrac{1}{27}[/tex]
Hence, the correct option is D.
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Help! I'm confused on this. It's not factorable right? What would my answer be? Factor [tex]xy+8y-2x-16[/tex].
Answers
Answer:
(y-2)(x+8)
Step-by-step explanation:
xy + 8y - 2x - 16= (xy +8y) - (2x+16) =y(x+8) - 2(x+8) =(y-2)(x+8)As you can see it is factorized
Using the discriminant, how many real solutions does the following quadratic equation have? X^2+6x+10=0
Answers
Answer: No real solutions
Step-by-step explanation:
The discriminant can tell you how many solutions a quadratic equation has. The formula is b²-4ac. This also comes from the quadratic equation.
6²-4(1)(10)
36-40
-4
Since the discriminant is less that 0, there are no roots.
TWO MINUTES HURRY HELP ME PLEASE
Answers
Answer:
x=-1
Step-by-step explanation:
Answer: x. = -1
Step-by-step explanation:
Help!! Question on probability. Wi give brainliest!!
Melody randomly selected two apples without replacing the first apple from the crate containing 10 granny Smith apples, 14 Red delicious apples, four golden delicious apples, and 18 Braeburn apples. What is the probability that Melody selected a golden delicious apple first and a granny Smith apple second?
Answers
Answer:
[tex]P = \frac{5}{282} = 0.0177[/tex]
Step-by-step explanation:
First we need to find the total amount of apples in the crate:
Total = 10 + 14 + 4 + 18 = 46 apples
The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:
[tex]P(golden) = \frac{N(golden)}{N(total)}[/tex]
[tex]P(golden) = \frac{4}{48} = \frac{1}{12}[/tex]
Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:
[tex]P(granny) = \frac{N(granny)}{N(total)-1}[/tex]
[tex]P(granny) = \frac{10}{47}[/tex]
The final probability we want is the product of those two probabilities:
[tex]P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177[/tex]
6y + 3 + (2y + 3) = please help me
Answers
Answer:
y = -3/4
Step-by-step explanation:
1. Simplify all terms - 8y + 6 = ?
2. Set to two sides - 8y = -6
3. Solve - y = -6/8 = -3/4
Hope this helps:)
someone help me asap
Answers
Answer:
43.3 m
Step-by-step explanation:
you can use Tangent and calculator or table to find it.
tan ∅ = opp/adj
tan 61° = r/24
1.804 = r/24
r = 1.084 * 24 = 43.297 m
r = 43.3 m
YOU GET 10 POINTS HELP HELP HELP HELP ME ME ME ME WITH THE CORRECT ANWSERS
Answers
Answer:
The third choice.
Step-by-step explanation:
This is a linear function.
The equation is y = (x - 5)(5x + 4) - 5x^2.
y = 5x^2 - 25x + 4x - 20 - 5x^2
y = 5x^2 - 5x^2 - 21x - 20
y = -21x - 20
That means this is a linear function, with a linear term of -21x and constant term of -20.
Hope this helps!
Answer:
Step-by-step explanation:
What shape is produced when slicing a hexagonal prism perpendicular to the base?
Answers
Answer:
hexagonal shape
Step-by-step explanation:
i am small child from American
sorry for answer
I'm 10 year old
I am born in Nepal
but develop in America
******WHO ANSWERS WILL BE MARK AS BRAINLIEST******
Which equation can be used to solve for a?
tan50=a/3
cos50=3/a
sin 50=a/3
tan50=3/a
Answers
Answer:
Tan 50 =3/a is the ans
Step-by-step explanation:
Feel very happy to help u
Answer:
tan 50=3/a
Step-by-step explanation:
Using the trigonometric ratio, tan(tita)=opposite/adjacent.
Opposite is the side with only 90°. Adjacent is the side with two angles.
what is the fraction of 80/100=
Answers
Answer:
[tex] \frac{80}{100} = \frac{4}{5} [/tex]
80
——
100
What is the highest multiple that can go into both numbers, is it 10? 15? 20?
Lets try 20
80/20 = 4
100/20 = 5
4/5
For every 10 minutes that Tia plays on the computer, she plays outside
for 19 minutes. What is the ratio of minutes Tia plays on the computer
to minutes she plays outside?
Answers
Answer: 10:19
Step-by-step explanation:
Time she plays on computer = 10 minutes
Time she plays outside = 19
Ratio will be 10:19
find the geometric mean of 64 and 49
Answers
Answer:
i think 56..?
Step-by-step explanation:
The geometric mean of 64 and 49 is 56.
What is geometric mean?The geometric mean is a mean or average of the data sets using their product. The formula to calculate geometric mean is [tex]\sqrt{a*b}[/tex]
How to find geometric mean?To find the geometric mean of 64 and 49 we have to put these values in the above formula. So,
Geometric Mean=[tex]\sqrt{64*49}[/tex]
=[tex]\sqrt{3136}[/tex]
=56
Hence the geometric mean of 64 and 49 is 56.
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help me please :( ill give u brainnlyyyyyyy :DDD
Answers
Answer:
180 grams
Step-by-step explanation:
2 people = 5 ounces
6 people= 5*3= 15 ounces
1 ounce= 28 grams
15 ounces= 15*28 grams= 420 grams
There is 240 grams already on the weight, so
420- 240= 180 grams more of diced onions are required
Please help I will give out brainliest
Answers
Answer:
Invariant points = 0
Step-by-step explanation:
When a point (h, k) is translated by a vector [tex]\binom{x}{y}[/tex], rule to be followed,
(h, k) → [(x + h), (y + k)]
Following this rule translated vertices of the rectangle OABC by a vector [tex]\binom{1}{3}[/tex] will be,
O(0,0) → O'(1, 3)
A(3, 0) → A'[(3 + 1), (0 + 3)]
→ A'(4, 3)
B(3, 3) → B'[(3 + 1), (3 + 3)]
→ B'(4, 6)
C(3, 0) → C'[(3 + 1), (0 + 3)]
→ C'(4, 3)
Therefore, every point on the perimeter of the square will get changed.
Number of invariant points = 0
On a coordinate plane, 2 lines are shown. Line M N goes through (negative 4, 8) and (negative 4, negative 6). Line K L goes through (negative 8, 2) and (6, 2). How are lines KL and MN related?
Answers
Answer:
Perpendicular lines
Step-by-step explanation:
MN: (-4, 8) and (-4, -6), This line parallel to y-axis as as x-value doesn't change
KL: (-8, 2) and (6, 2), This line is parallel to x-axis as y-value doesn't change
The given lines are perpendicular as one is parallel to x, another one is parallel to y