Answer:
the answer is that it is just an average size
Thursday afternoon 80 kids visited the library. Of those students 60 checked out a book before they left. What percentage of the students who visited the library checked out a book?
Answer48
Step-by-step explanation:
80 times 60 equals 4800 divided by 100 equals 48
I WILL GIVE BRAINIEST ANSWER! JUST PLEASE HELP ME
Solve the equation x2 + 7x = 30.
A. x = 15 and x = −2
B. x = −6 and x = 5
C. x = −10 and x = 3
D. x = 10 and x = −3
Answer:
The answer is C
Step-by-step explanation:
Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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Let
U
be the universal set, where:
U
=
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
Let sets
A
and
B
be subsets of
U
, where:
A
=
{
4
,
8
,
9
,
10
}
and
B
=
{
2
,
3
,
4
,
6
,
7
}
Find
(
A
∩
B
)
c
:
{
}
Find
A
c
∪
B
c
:
{
}
Enter the elements as a list, separated by commas in order from smallest to largest. If the result is the empty set, enter DNE
The elements of set (AnB)' = {1,2,3,5,6,7,8,9,10} and The elements of A'uB' = {1,2,3,5,6,7,8,9,10}
What is complement of a set?The complement of a set is the set that includes all the elements of the universal set that are not present in the given set. For example, if A is a set of all coins which is a subset of a universal set that contains all coins and notes, so the complement of set A is a set of notes (which do not includes coins).
Therefore if U={1,2,3,5,6,7,8,9,10} and A={4,8,9,10} B= {2,3,4,6,7} then,
(AnB) = {4}
(AnB)' = {1,2,3,5,6,7,8,9,10}
A' = {1,2,3,5,6,7} and B' = {1,5,8,9,10}
therefore A'uB'= {1,2,3,5,6,7,8,9,10}
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find the values of the variables.
Answer:
A. 118°
B. 62°
C. 59°
Step-by-step explanation:
Hooe this helps!:) If you want me to explain just ask in the comments
Answer:
a = 118
b = 62
c = 59
Step-by-step explanation:
a. The angle marked a° and the one marked 62° form a linear pair, so are supplementary.
a° = 180° -62° = 118°
__
b. The angles marked 62° and b° are vertical angles, so both have the same measure.
b° = 62°
__
c. The angles marked with a single arc are congruent. The arcs in the top triangle show that triangle to be isosceles. The sum of angles in that triangle is 180°:
2·c° +62° = 180°
c° +31° = 90° . . . . . divide by 2
c° = 59° . . . . . . . . subtract 31°
_____
Additional comment
The diagram has enough marks to show that the top and bottom triangles are congruent.
write inequality shown y=-11/7x-4
Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:
y ≤ -11/7x - 4
This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.
Step-by-step explanation: .
Solve the following equation for X.
3x – 9 = -33
Answer:
-8Option D is the right option
solution,
\(3x - 9 = - 33 \\ or \: 3x = - 33 + 9 \\ or \: 3x = - 24 \\ or \: x = \frac{ - 24}{3} \\ x = - 8\)
Hope this helps...
Good luck on your assignment..
Answer:
-8
Step-by-step explanation:
3x-9=-33
transpose 9 to RHS
->3x=-33+9=> 3x=-24
transposing 3 to RHS
=> x=-24÷3
=> x=-8
22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents.
Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.
The surface area of the cylindrical part can be calculated as follows:
The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²
The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²
So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:
Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²
The surface area of the conical part can be calculated as follows:
The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m
The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²
So, the total surface area of the conical part is the sum of the base area and lateral area, which is:
Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²
Therefore, the total surface area of one tent is:
Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²
To make 1500 tents, the total amount of canvas required is:
Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²
The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:
Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400
As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:
Amount shared by each school = Total cost of canvas / 50
Amount shared by each school = 23,099,400 / 50
Amount shared by each school ≈ Rs 461,988
Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.
Step-by-step explanation:
PLEASE HURRRYYY Simplify
√x2 (2 means squared)
Answer:
\( \sqrt{x ^{2} } \\ { = ( {x}^{2} )}^{ \frac{1}{2} } \\ = {x}^{ \frac{2}{2} } = {x}^{1} \\ = { \boxed{ \boxed{x}}}\)
Find the missing number in the following fraction calculation
/7 ÷10 =3/35
x=6
Step-by-step explanation:
x ÷ 7 ÷10 = 3/35
(Use trial & error - since I knew x<7)
6/7 ÷ 10 = 3/35
Or
3/35 x 10
(then, simplify it to 6/7 or ÷ that by 1/7 to get 6)
Hope this helps!
The coordinates of the point � G are ( 0 , 8 ) (0,8) and the coordinates of point � H are ( 8 , 8 ) . (8,8). What is the distance, in units, between the point � G and point � ? H?
The distance between the points G and H is D = 8 units
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be G ( 0 , 8 )
Let the second point be H ( 8 , 8 )
Now , let the distance between G and H be D , where
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
D = √ ( 0 - 8 )² + ( 8 - 8 )²
D = √64 units
D = 8 units
Hence , the distance is 8 units
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Twenty years ago, 51% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 278 of 800 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the alpha equals 0.05 level of significance.
Answer:
Step-by-step explanation:
We would set up the hypothesis test.
For the null hypothesis,
p = 51/100 = 0.51
For the alternative hypothesis,
P ≠ 0.51
Considering the population proportion, probability of success, p = 0.51
q = probability of failure = 1 - p
q = 1 - 0.51 = 0.49
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 278
n = number of samples = 800
P = 278/800 = 0.35
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.35 - 0.51)/√(0.51 × 0.49)/800 = - 9.05
Recall, population proportion, P = 0.45
The difference between sample proportion and population proportion(p - P) is 0.51 - 0.35 = 0.16
Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.51 - 0.16 = 0.35
the p for the right tail is 0.51 + 0.16 = 0.67
These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area below the test z score in the left tail is < 0.00001
We would double this area to include the area in the right tail of z = 9.05 Thus
p < 0.00001 × 2
p < 0.00002
Since alpha, 0.01 > than the p value, then we would reject the null hypothesis.
Therefore, at 5% significance level, we can conclude that parents feel differently today than they did twenty years ago.
Which is equivalent to (3 + 4i )(3 - 4i )?
Use the FOIL method to solve.
(3 + 4i)(3 - 4i)
(3 * 3) + (3 * -4i) + (4i * 3) + (4i * -4i)
9 - 12i + 12i - 16i
9 - 16i
Best of Luck!
Please Help! I will give you the brainiest and a lot of points!
-Show work (You only have to do the odd numbers)
#19
\(\\ \sf\longmapsto \dfrac{7}{5}\)
#20
\(\\ \sf\longmapsto \dfrac{9}{5}\)
#21
\(\\ \sf\longmapsto \dfrac{11}{7}\)
#22
\(\\ \sf\longmapsto \dfrac{12}{7}\)
#23
\(\\ \sf\longmapsto \dfrac{2}{2}=1\)
#24
\(\\ \sf\longmapsto \dfrac{3}{2}\)
#25
\(\\ \sf\longmapsto \dfrac{5}{2}\)
#26
\(\\ \sf\longmapsto \dfrac{6}{2}=3\)
#27
\(\\ \sf\longmapsto \dfrac{8}{2}=4\)
#28
\(\\ \sf\longmapsto \dfrac{9}{2}\)
#29
\(\\ \sf\longmapsto \dfrac{13}{4}\)
#30
\(\\ \sf\longmapsto \dfrac{19}{4}\)
#31
\(\\ \sf\longmapsto \dfrac{37}{6}\)
#32
\(\\ \sf\longmapsto \dfrac{25}{6}\)
Answer:
19. 7 to base five => 12
21. 11 to base seven => 14
23. 2 to base two=> 10
25. 5 to base two => 101
27. 8 to base two => 1000
29. 13 to base four => 31
31. 37 to base six => 101
33. 87 to base five => 322
35. 108 to base four => 1230
37. 19 to base two => 10011
Listed below are the commissions earned ($000) last year by a sample of 15 sales representatives at Furniture Patch Inc.
$4.1 $5.9 $7.5 $10.8 $12.2 $13.6 $14.3 $16.6 $17.2
$17.4 $17.8 $22.3 $35.9 $43.2 $79.5
1. Determine the mean, median, and the standard deviation.
2. Determine the coefficient of skewness using Pearson
Step-by-step explanation:
Solution is attached in pen paper form
21.5 sq. Cm
43 sq. Cm
100 sq. Cm
68.6 sq. Cm
\( \large \boxed{ \boxed{ \mathrm{21.5 \: \: cm {}^{2}} }}\)
Solution :By Observing the Above figure, we can conclude that the area of shaded region is equal to the Area of Square minus the sum areas of two equal semicircles (since their diameters are equal)
let's solve for area of square :
\(\longrightarrow \: \mathrm{side {}^{2} }\)
\(\longrightarrow10 {}^{2} \)
\(\longrightarrow \mathrm{100 \: cm {}^{2} }\)
Now,
Radius of the both semicircles measure :
\(\longrightarrow \dfrac{10}{2} \)
\(\longrightarrow5 \: cm\)
now, let's solve for their area
\( \longmapsto 2 \times \dfrac{\pi {r}^{2} }{2} \)
(Since, there are two semicircles)
\(\longrightarrow3.14 \times 5 \times 5\)
\(\longrightarrow78.5 \: cm {}^{2} \)
Area of Shaded region = Area of Square - Area of Semicircles, that is
\(\longrightarrow100 - 78.5\)
\(\longrightarrow \mathrm{21.5 \: cm {}^{2} }\)
\(\large\mathfrak{{\pmb{\underline{\orange{hope \: it \: helps \: you \: }}{\orange{.....}}}}}\)
whats is 2+2?
im confused pls explain
The function g(x) is a transformation of the cube root parent function,f(3) = y1. What function is g(x)?5-(x)OA g(2) = 7x +4-3B. g(x) = Vx+3 - 4Ο Ο ΟC. g(x) = v= - 3 - 4D. g(x) = y2 - 4-3
Answer::
\(g(x)=\sqrt[3]{x-4}-3\)Explanation:
The parent function is given as:
\(f(x)=\sqrt[3]{x}\)Observe that the graph of g(x) is shifted by 4 units to the right and 3 units down:
4 units to the right give:
\(\sqrt[3]{x-4}\)Next, a shift by 3 units down gives:
\(g(x)=\sqrt[3]{x-4}-3\)The correct choice is D.
what conjecture can you make about the sum of firs 52 positive even numbers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, the available details is enough to work out a solution.
Considering the first even number: 2
In this case, n = 1
The sum of the first even term is 2.
Represent the sum as a product:
\(2 = 1 * 2\)
Considering the first two even numbers: 2 and 4
In this case, n = 2
The sum of the first two even terms is 6
Represent the sum as a product:
\(6 = 2 * 3\)
Considering the first three even numbers: 2, 4 and 6
In this case, n = 3
The sum of the first two even terms is 12
Represent the sum as a product:
\(12 = 3 * 4\)
Notice the pattern from n = 1 to 3
\(2 = 1 * 2\) --- n = 1
\(6 = 2 * 3\) --- n = 2
\(12 = 3 * 4\) --- n = 3
------------------------------------
It follows that, the sum when represented as a product is: \(n * (n + 1)\)
So, the sum of the first 52 even terms would be:
\(52 * (52 + 1)\)
Where n = 52
\(52 * (52 + 1) = 52 * 53\)
\(52 * (52 + 1) = 2756\)
Hence, the sum of the first 52 even terms is 52 * 53 or 2756
On Monday, your bank account balance was −$12.90. Because you didn't realize this, you wrote a check for $30.39 for groceries.
Answer:
$17.49
Step-by-step explanation: You need to subtract $30.39 by $12.90
$30.39
-$12.90
First, its 9 - 0 which will = 9.
Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.
So 13 - 9 = 4.
Now you have 9 - 2. Which will = 7.
Last, its 2 - 1 which will = 1.
so after all of that you get: $17.49
Answer:
Step-by-step explanation:
To find the balance, take the old balance and subtract the amount spent on groceries. next u have to minues -12.90 from 30.39 =17.49
find the area of the shaded figure
Answer:
I need degrees and numbers to figure out the answers
Find the lateral area of the prism.
Answer:
576"
Step-by-step explanation:
AL=ph
AL= (4*12)12
AL= 48*12
AL=576"
What is the reciprocal of the divisor 5 1/5 divided by 1/10
The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.
The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.
The reciprocal of the divisor 5 1/5 divided by 1/10
To the reciprocal of the divisor.
Equation: 5 1/5 divided by 1/10
1st: Flip the 1/10 to become 10/1
2nd: Change division to multiplication
New equation: 5.1/5.10/1
⇒ 50/5
⇒ 10.
The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.
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Good points here please help!
Answer:
x = 20
Step-by-Step Explanation:
The two angles are supplementary, which means that when you add them together, they equal 180 degrees. So this is the equation to solve for x: 180 = (3x+10) + (6x-10). When it is solved, you find that x = 20.
Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below
Answer:
\(3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}\)
Thus, the equivalent expression is: \(\frac{1}{24^3}\)
Step-by-step explanation:
Given the expression
\(3^{-3}\cdot 8^{-3}\)
\(\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\)
\(=8^{-3}\cdot \frac{1}{3^3}\)
\(\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\)
\(=\frac{1}{3^3}\cdot \frac{1}{8^3}\)
\(\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\)
\(=\frac{1\cdot \:1}{3^3\cdot \:8^3}\)
\(=\frac{1}{24^3}\)
Thus,
\(3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}\)
Thus, the equivalent expression is: \(\frac{1}{24^3}\)
Identify the statement as an expression or an equation.
3(4x - 12)
2
4(x - 3)
Answer:
expression
Step-by-step explanation:
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.
Which ordered pairs represent points on the graph of this equation? Select all that apply.
2y= –3x–4
All the ordered pairs that represent points on the graph of this equation include the following:
A. (-4, 4).
C. (-2, 1)
E. (2, -5)
F. (0, -2)
What is an ordered pair?In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.
How to determine the ordered pairs that represent points on the graph?In order to determine the ordered pairs that represent points on the graph of the given function, we would plot its equation by using an online graphing calculator and then read all the ordered pairs that lie on the line.
By critically observing the graph of the given function (see attachment), the solutions are include following;
Ordered pair = (-4, 4).
Ordered pair = (-2, 1).
Ordered pair = (2, -5).
Ordered pair = (0, -2).
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Complete Question:
Which ordered pairs represent points on the graph of this equation? Select all that apply.
2y= –3x–4
(-4, 4)
(7, 6)
(-2, 1)
(0, 7)
(2, -5)
(0, -2)
△MNP is the image of △JKL after a reflection in the x-axis. Select all of the statements that are always true. The length of side KL equals the length of side PM. The length of side , KL, equals the length of side , PM, . The length of side JK equals the length of side MN. The length of side , JK, equals the length of side , MN, . The measure of angle K equals the measure of angle P. The measure of angle , K, equals the measure of angle , P, . The measure of angle L equals the measure of angle P.
The corresponding sides and angles of the both triangle would be congruent to each other.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
△MNP is the image of △JKL after a reflection in the x-axis. Therefore, both triangles would be congruent.
The corresponding sides and angles of the both triangle would be congruent to each other.
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match the subtraction expressions to their correct answers.(don’t need explanation)
Notice the following:
\(\begin{gathered} -6\text{ }\frac{4}{9}-3\frac{2}{9}-8\frac{2}{9}=-17\frac{8}{9} \\ -12.48-(-2.99)-5.62=-15.11 \\ -19\frac{2}{9}-4\frac{1}{9}-(-3\frac{4}{9})=-19\frac{8}{9} \\ -353.92-(-283.56)-131.29=-201.65 \\ 83\frac{1}{5}-108\frac{2}{5}-(-99\frac{1}{5})=74 \end{gathered}\)Do You Understand?
D
4.
1. Essential Question How does an equation
show the relationship between variables and
other quantities in a situation?
Answer:
An equation is basically a way to show a relationship of variables (x,y,a,b, etc) and numbers.
Step-by-step explanation:
Answer:
Shown by explanation.
Step-by-step explanation:
An equation shows a relationship between variables and other factors by defining the variables that are dependent and independent and how these dependent variables are related to the independent variables, this is usually as a result of a prescribed experiment where the relationship of this variables are investigated.
Also remember conditions that favour this experiment must be taken into consideration. And the experiment must always be performed under such conditions.