Answer:
Lets firts mention that the rule presented in the question does not apply for all real numbers
But, we can see that in some cases it might be true.
Let
a = 1
b = 0
√1 + √0 = 1 + 0 = 1
Likewise,
√(1 + 0) = √(1) = 1
And we see that the result is the same.
There are 1 1/2 pizzas left.One-third of pizza left is plain cheese.How much cheese pizza is left?
Answer:
About four of the pizzas are plain cheese, 3.83 pizzas to be exact.
Step-by-step explanation:
1/3 of 11.5 is 3.83
Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?
A) ∠1 and ∠2 are adjacent.
B) m ∠2 = 180° – 120°
C) m ∠1 = 120° because ∠1 and the 120° angle are vertical angles.
D) m ∠1 = m ∠2
Answer:
no picture
Step-by-step explanation:
(D): m ∠1 = m ∠2
I got it correct, trust me.
A cone has a diameter of 23 inches and a height of 19.7 inches. Select all of the expressions that could be used to find the volume of the cone in cubic inches? Use 3.14
Answer:
2727
Step-by-step explanation:
The formula for finding the volume of a cone is
1/3πr²h
The radius would be 11.5 because, radius equals the diameter divided by two.
So, first you would plug your numbers into the equation
1/3(π)(11.5)²(19.7)
*use 3.14 for pi
Then multiply.
V = 2726.9 (2727 if you round to the nearest whole number)
Where’s The Expressions?
A person can read 48 pages in 5/4 of an hour. How many pages can they read in one hour
Answer:
38.4 pages
Step-by-step explanation:
5/4 = 1.25
Rate = pages / Time
Time = 1.25 hours
Pages = 48
Rate = 48/1.25
Rate = 38.4
the graphs below have the same shape. What is the equation of the blue graph?
Option: C is the correct answer.
The equation of the blue graph i.e. function G(x) is:
C. [tex]G(x)=(x+3)^2+1[/tex]
Step-by-step explanation:We are given a parent function F(x) as:
[tex]F(x)=x^2[/tex]
Now after looking at the graph of the transformed function G(x) we see that the graph of G(x) is obtained by shifting the graph of F(x) 3 units to the left and 1 units upward.
Hence, the equation of the transformed function G(x) is given by:
[tex]G(x)=(x+3)^2+1[/tex]
Can someone please help ASAP???
Answer:
y = -5
Step-by-step explanation:
To solve this, we simply plug in 4 into x and then solve for y. We have:
[tex]-3x+9y=-57\\[/tex]
Now we put 4 into x and do some algebra and solve for the value of y:
[tex]-3x+9y=-57\\-3(4)+9y=-57\\-12+9y=-57\\9y=-57+12\\9y=-45\\y=\frac{-45}{9}\\y=-5[/tex]
So y = -5
What is the product of 35.263 and 0.29
The product of 35.263 multiplied by 0.29 is 10.22627 or approximately 10.2
In mathematics, the 'product' is the result you get from multiplying numbers together. The product of 35.263 and 0.29 is calculated by multiplying the two numbers together, resulting in 10.22627.
Explanation:The product of 35.263 and 0.29 can be found by simply multiplying these two numbers together. In mathematics, the term 'product' refers to the result obtained by multiplying two or more numbers together. So, to find the product of 35.263 and 0.29, you just need to multiply these two numbers:
35.263 * 0.29 = 10.22627
Therefore, the product of 35.263 and 0.29 is 10.22627.
Learn more about Product of Multiplication here:https://brainly.com/question/31670943
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An office has an area of 120 meters squared and it is 12 meters wide. Write an equation to represent the area.
Two angles whose sum is 90 degrees are called _____
complementary angles are two angles whose sum is 90 degrees
Answer:
it is called a right angle
Step-by-step explanation:
solve the equation
-84= 6(p-8)
Answer:
p=-6
Step-by-step explanation:
-84/6=p-8
-14=p-8
p=-6
Find the lowest value of the data this box -and-whisker ploy represents 12,1315,16
Answer:
12
Step-by-step explanation:
The lowest value is indicated by the dot at the end of the left whisker
That is the lowest value = 12
The lowest value in a box-and-whisker plot is the minimum of the dataset. For the given data set, the lowest value, which is the minimum, is 10.
Explanation:The student is asking us to find the lowest value represented in a box-and-whisker plot. A box-and-whisker plot is a graphical representation of a five-number summary of a dataset: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and the maximum. The lowest value in a box-and-whisker plot is the minimum of the dataset.
To graph a box-and-whisker plot for the given data values, you would first need to arrange the data in ascending order. Then, find the minimum, Q1, median, Q3, and the maximum. The smallest number, which is placed at the leftmost part of the plot, is the minimum, also known as the lowest value of the dataset. For the data set provided (10, 10, 10, 15, 35, 75, 90, 95, 100, 175, 420, 490, 515, 515, 790), the lowest value is 10.
Which table shows a proportional relationship between X and y
Answer:
B
Step-by-step explanation:
all of the numbers times three equals the number across from it.
Hope this helps!
Solve the equation.
4p + 25 = 6(p – 3) – 3(4 – 3p)
Answer:
p = 5
Step-by-step explanation:
first you need to distibute into the parenthesis's -
4p + 25 = 6(p-3) -3(4-3p)
4p +25 = 6p -18 - 12 + 9p
4p + 25 = 15p - 30
-4p -4p
25 = 11p - 30
+30 +30
55 = 11p
/11 /11
5 = p
hope this helps!!
4p+25=6(p-3)-3(4-3p)=5
Which equation can be used to find what percent 14 is of 125?
A..
125 = 14p
b.
14 = 125p
c.
14p = 125p
d.
125(14) = p
Answer:
B
Step-by-step explanation:
This is how I am confirming the answer:
14/125 = 0.112
125(0.112) = 14
Answer:
B. 125P=14 is the Answer
Step-by-step explanation:
1) When it says what percent 14 is of 125( what percent of 125 gives you 14)
Algebraically It's like this
125p=14
2) just solve for p
P=14/125 ( 125 is divided on both sides)
P= 0.112
3) plug in 0.112 for P
125 x 0.112 = 14
Hopes this helps you !
What does this mean I am really stuck please help me
The ratio is how much something has, comparative to another thing.
So, for every 10 apples, there are 4 oranges (first blank). Therefore, if there is half, five, of the apples, there are two (second blank), half of four, oranges. And, if the number of oranges tripled (12), there will be triple apples, which is 30 (third blank).
Answer: 10:4, 5:8, 1:12
Step-by-step explanation:
So for apples it goes my 10 then to 5 right? So the next one must be 1
For orange the first number they gave u is 4 and the 3rd number is 12. If u look in the multiplication table it goes like 4,8,12, ect.
Mr. Stanford’s greenhouse has the dimensions shown. The volume of the greenhouse is 90 cubic yards. Find the missing dimension of the greenhouse.
Answer:
[tex]h=10\ yd[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism of the figure is equal to
[tex]V=Bh[/tex]
where
B is the area of the triangular base
h is the height of the triangular prism
Find the value of B
[tex]B=\frac{1}{2}(6)(3)=9\ yd^{2}[/tex]
we have that
[tex]V=90\ yd^{3}[/tex]
substitute the values and solve for h
[tex]90=9h[/tex]
[tex]h=90/9=10\ yd[/tex]
Answer:
B
Step-by-step explanation:
A construction worker is building a wall. The wall is
20
yd
long. He needs to place a stud every
16
in
. The first stud has already been placed at one end of the wall. How many additional studs are needed, if the last stud will be placed at the other end of the wall? First fill in the blanks on the left side using the ratios shown.
I believe it is 45 studs to the end of the wall
Answer:
Step-by-step explanation:
First, convert 20 yds to 60 ft. and then from 60 ft to 720 in.
Use the formula for the nth term of an arithmetic sequence:
l = a + (n-1)d:
Here l = 720 ft, and a = 0. The common difference, d, is 16 in. Our task is to determine how many studs are needed.
Substituting the knowns, we get 720 = 0 + (n - 1)(16), which simplifies to:
720 = (n-1)(16).
Divide both sides by 16 to isolate (n-1): 45 = n - 1.
Adding 1 to both sides results in 46 = n.
46 studs total are needed; if the worker has already placed the first stud, then 45 additional studs are needed.
Which of the following statements is true?
A. Pi = 22/7
B. Pi = 355/13
C. Pi is the ratio of a circles circumference to its diameter
D. Pi is the ratio to a circle diameter to its circumference
E. Pi is a terminating recurring decimal
A. Pi= 22/7 =3.1415....
C. Pi is the ratio to a circles circumference to its diameter
(Area formula I used is the image I provided)
Determine the area of each of the following polygons using the area formula you created in part d.
Polygon Area
regular pentagon with apothem of approximately 9 inches and side length of 13 inches
regular octagon with apothem of approximately 5 centimeters and side length of 4 centimeters
regular hexagon with apothem of approximately 6 feet and side length of 7 feet
Answer:
1. The area of regular pentagon = 292.5 inches²
2. The area of the regular octagon = 80 cm²
3. The area of the regular hexagon = 126 feet²
Step-by-step explanation:
∵ The area of any regular polygon = 1/2 × perimeter × apothem
1. Regular pentagon
∵ Regular pentagon has 5 equal sides
∵ The perimeter of the regular pentagon = 5 × side length
∵ S = 13 inches
∴ P = 13 × 5 = 65 inches
∵ apothem = 9 inches
∴ A = 1/2 × 65 × 9 = 292.5 inches²
2. Regular octagon
∵ Regular octagon has 8 equal sides
∵ The perimeter of the regular octagon = 8 × side length
∵ S = 4 cm
∴ P = 4 × 8 = 32 cm
∵ apothem = 5 cm
∴ A = 1/2 × 32 × 5 = 80 cm²
3. Regular hexagon
∵ Regular hexagon has 6 equal sides
∵ The perimeter of the regular hexagon = 6 × side length
∵ S = 7 feet
∴ P = 7 × 6 = 42 feet
∵ apothem = 6 feet
∴ A = 1/2 × 42 × 6 = 126 feet²
Alicia´s gross monthly pay is 1,700. Alicia pays 1.25% of her monthly salary for Medicare. how much dose she pay
Answer:
$21.25
Step-by-step explanation:
1700 x 1.25% = 1700 x 0.0125 = 21.25
So Alicia's paying $21.25 of her monthly salary to Medicare.
Answer:
$21.25
Step-by-step explanation:
If Alicia´s gross monthly pay is 1,700 and she pays 1.25% of her monthly salary for Medicare, she would pay $21.25.
In order to find this, you must multiply the gross monthly pay by the percent.
1,700 x 1.25 = 21.25
What is the sum of the geometric series ?
Replace t with 1 through 4 and solve then add them together:
6^(1-1) = 6^0 = 1
6^(2-1) = 6^1 = 6
6^(3-1) = 6^2 = 36
6^(4-1) = 6^3 = 216
Sum = 1 + 6 + 36 +216 = 259
Answer: The required sum is 259.
Step-by-step explanation: We are given to find the sum of the following geometric series :
[tex]\sum_{i=1}^{4}6^{i-1}.[/tex]
The given geometric series can be written as :
[tex]0+6+6^2+6^3.[/tex]
We know that
the sum of a geometric series up to n terms with first term a and common ration r is given by
[tex]S=\dfrac{a(r^n-1)}{r-1}.[/tex]
in the given series, we have
[tex]a=1,~~r=\dfrac{6}{1}=\dfrac{6^2}{6}=\dfrac{6^3}{6^2}=6.[/tex]
Therefore, the sum up to 4 terms will be
[tex]S_4=\dfrac{a(r^4-1)}{r-1}=\dfrac{1(6^4-1)}{6-1}=\dfrac{1296-1}{5}=\dfrac{1295}{5}=259.[/tex]
Thus, the required sum is 259.
Petra is raking leaves in her backyard. Petra’s backyard is rectangular and has an area of 476 square feet. One side of the backyard is 28 ft. How long is the other side?
Which statements are true? Select all that apply.
Centigrams are larger than decigrams.
Hectometers are smaller than kilometers.
Dekaliters are larger than kiloliters.
Grams are smaller than dekagrams.
Answer:
Hectometers are smaller than kilometers
and
Grams are smaller than dekagrams.
Hope it help you! :3
Answer:so sorry for give me its on accident
A flashlight is projecting onto a wall, as shown below
Answer:
n = 30
Step-by-step explanation:
The triangles share the same angle measures, so they are similar triangles. The side lengths of similar triangles are proportional to each other, so we can set up a proportion and solve for n...
16 is to 20 as 24 is to n
16/20 = 24/n now solve for n by cross multiplying
16n = 480
n = 30 (divide both sides by 16)
We are given that the original triangle and its projection are similar. This means that the corresponding angles of the two triangles are congruent, and the ratios of their side lengths are equal.
We are also given the lengths of two sides of the original triangle: 16 cm for the base and 20 cm for the hypotenuse. We are asked to find the missing length on the projection, which corresponds to the base of the original triangle.
To solve this problem, we can set up a proportion based on the similar triangles. Let x be the missing length on the projection:
(base of original triangle) / (base of projection) = (hypotenuse of original triangle) / (hypotenuse of projection)
Substituting the known values:
16 cm / x = 20 cm / 24 cmCross-multiplying:
16 cm * 24 cm = x * 20 cm384 [tex]cm^2[/tex] = 20x [tex]cm^2[/tex]x = 384 [tex]cm^2[/tex] / 20 [tex]cm^2[/tex]x = 19.2 cmTherefore, the missing length on the projection is 19.2 cm. However, the answer choices are all rounded to one decimal place.
Rounding 19.2 cm to one decimal place gives us 19.0 cm. Therefore, none of the provided options are correct.
The question probable maybe:
A flashlight is projecting onto a wall, as shown below
The original triangle and its projection are similar. What is the missing length on the projection?
a. 12.6
b. 17.9
c. 35
d. 31
A principal conducts a study to find the average age of all math teachers in a given high school by recording all their ages. What type of study is this?
Answer: using edg.?
keep it simple.
Answer is Census.
Step-by-step explanation:
Answer:
Question 1 is: Experiment
Question 2 is: Census
Step-by-step explanation:
trust me
Otis had a salad for $4.50, a sandwich for $6.25, and a drink at his favorite restaurant. The tax for the entire meal was $0.54. What was the price of the drink?
Answer:
Price of the drink = $1.25
Step-by-step explanation:
4.5% * ( $4.5 + $6.25 + drink) = $0.54
4.5/100 * ( $4.5 + $6.25 + drink) = $0.54
0.045 * ( $4.5 + $6.25 + drink) = $0.54
0.045/0.045 * ( $4.5 + $6.25 + drink) = $0.54/0.045
( $4.5 + $6.25 + drink) = $12
10.75 + drink = $12
drink = $12 - $10.75
drink = $1.25
The price of the drink is $1.25
How to determine the price of the drink?The given parameters are:
Tax amount = $0.54
Salad = $4.50
Sandwich = $6.25
Let the price of the drink be x.
Given that the sales tax is 4.5%, we have:
4.5% * ( $4.5 + $6.25 + x) = $0.54
Divide both sides by 4.5%
( $4.5 + $6.25 + x) = $12
Evaluate the sum
$10.75 + x= $12
Subtract $10.75 from both sides
x = $1.25
Hence, the price of the drink is $1.25
Read more about sales tax at:
https://brainly.com/question/25783927
which solid figure has five faces, five vertices, and eight edges
1.triangular pyramid
2.rectangular pyramid
3.pentagonal pyramid
4.triangular prism
which of the following solid figures has the least number of vertices
1.triangular pyramid
2.hexagonal pyramid
3.cone
4.triangular prism
how many faces the are on following solid figure
1.2
2.15
3.10
4.7
1) Triangular pyramid
2) A cone
3) I don't have the picture of the figure so I don't know
Answer: this is the first ones answer is D.
The second answer will be C.
Common factors of 16a and 20ab.
Answer:
[tex]\large\boxed{Common\ factors:\ 1,\ 2,\ 4,\ a,\ 2a,\ 4a}[/tex]
Step-by-step explanation:
[tex]16a=2\cdot2\cdot2\cdot2\cdot a\\Factors:\boxed1,\ \boxed2,\ \boxed4,\ 8,\ 16,\ \boxed{a},\ \boxed{2a},\ \boxed{4a},\ 8a,\ 16a\\\\20ab=2\cdot2\cdot5\cdot a\cdot b\\Factors:\boxed1,\ \boxed2,\ \boxed4,\ 5,\ 10,\ 20,\ \boxed{a},\ \boxed{2a},\ \boxed{4a},\ 5a,\ 10a,\ 20a,\\b,\ 2b,\ 4b,\ 5b,\ 10b,\ 20b,\ 2ab,\ 4ab,\ 5ab,\ 10ab,\ 20ab\\\\Common\ factors:\ 1,\ 2,\ 4,\ a,\ 2a,\ 4a[/tex]
Answer:
2, 4, and a
Step-by-step explanation:
Factors of 16a: 2, 4, 8, 16, a
Factors of 20ab: 2, 4, 5, 10, 20, a, b
The common factors of 16a and 20ab are 2, 4, and a.
Which equation models the line that passes through points (4, 6) and (−4, 8)
Answer:
y = - [tex]\frac{1}{4}[/tex] x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (- 4, 8)
m = [tex]\frac{8-6}{-4-4}[/tex] = [tex]\frac{2}{-8}[/tex] = - [tex]\frac{1}{4}[/tex], hence
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 4, 8 ), then
8 = 1 + c ⇒ c = 8 - 1 = 7
y = - [tex]\frac{1}{4}[/tex] x + 7 ← equation of line
First to answer will be the brainliest I need the answer ASAP