Answer:
Step-by-step explanation:
Natural Numbers :
These are numbers used for counting, they are the numbers on a number line. From -12 to 49, the natural numbers are 1, 2, 3, ..., 49.
Whole Numbers:
These are numbers that can be written without havin to write in fractions. They are 0, 1, 2, ..., 49.
Rational Numbers:
These are numbers that can be expressed as fractions.
Irrational numbers :
These are numbers that cannot be expressed as fractions.
Real Numbers:
These are numbers that can be used to measure quantities, they include negative, positive numbers and zero. From -12 to 49, all the numbers are real.
Prime Numbers:
These are numbers that are divisible only by one and themselves.
From 7 to 49, the numbers divisible by 7 are 7, 14, 21, 28, 35, 42, and 49.
Only 7 is prime.
The city plans a roadway to have trees every mile. If the path is miles long, how many trees will the city need?
30 trees
31 trees
32 trees
33 trees
Answer:
32
Step-by-step explanation:
the country would need 30 to 33 trees
A spray irrigation system waters a section of a farmer’s field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Answer:
3,781
Step-by-step explanation:
To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.
First, recognize the formula for the area of a circle:
A = 3.14[tex]r^{2}[/tex]
In this scenario, the radius (r) is 85 feet:
A = 3.14(85[tex])^{2}[/tex]
A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:
A = [tex]\frac{3.14(85)^{2} }{6}[/tex]
Finally, we will simplify and round:
A = 3,781
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
When and , the value of the expression is
Answer:
-2, 6
Step-by-step explanation:
(x - 6)(x + 2) = 0
x - 6 = 0 x+ 2 = 0
x = 6 x = -2
The values of x that would result in the given expression being equal to 0, in order from least to greatest, are -2 and 6.
The shape on the left is translated to the shape on the right.
Which statement about the transformation is true?
A.The name of the shape on the right is MNOPQRS' because it is the image of the shape on the left.
B.The name of the shape on the right is MNOPORS' because it is the pre-image of the shape on the left.
C.The name of the shape on the right is M’N’O’P’Q’R’S because it is the pre-image of the shape on the left.
D. The name of the shape on the right M’N’O’P’Q’R’S
Because it is the pre-image if the shape in the left.
Answer:
sorry i am late but the answer is The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left. and if you dont want to read that its D
hope it helped anyone :)
The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right.
The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left
find out more on Transformation at: https://brainly.com/question/1462871
I REALLY NEED HELP ASAP WITH THESE 2 QUESTIONS!!!!!!!!!
Answer:
4. Meena- 3
Jerry- 6
5a. 5
5b. 6
Step-by-step explanation:
We can use the distance formula to solve all of these.
[tex]\sqrt{(x_{2} } -x_{1} )^2+(y_{2} -y_{1} )^2[/tex]
Plug the numbers in and make sure you understand how i got these answers :) Let me know if you see anything wrong about it, and i will try and fix it.
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, −2). A. y = 2x + 4 B. y = negative 1 over 2 , x − 1 over 2 C. y = − 1 over 2 , x − 7 over 2 D. y = 2x − 8
Answer:
The answer is option DStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
y = 2x + 4
comparing with the above equation for a line
The slope / m = 2
Since the lines are parallel their slope are also the same
Slope of parallel line = 2
So we have
The equation of the line using point
( 3 , -2) and slope 2 is
y + 2 = 2( x - 3)
y + 2 = 2x - 6
y = 2x - 6 - 2
We have the final answer as
y = 2x - 8Hope this helps you
Answer:
y=2x-8
Step-by-step explanation:
Maths!
1) Calculate the variance and standard division of the set of the data
2) If each value is added by 2, calculate the new standard deviation of the set
3) What is the effect on the measure of dispersion if each value is changed uniformly
Answer:
(1) Variance = 4.5 and Standard deviation = 2.121.
(2) Variance = 4.5 and Standard deviation = 2.121.
(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged.
Step-by-step explanation:
We are given with the following set of data below;
X [tex]X-\bar X[/tex] [tex](X-\bar X)^{2}[/tex]
5 5 - 8 = -3 9
5 5 - 8 = -3 9
8 8 - 8 = 0 0
10 10 - 8 = 2 4
10 10 - 8 = 2 4
10 10 - 8 = 2 4
9 9 - 8 = 1 1
9 9 - 8 = 1 1
6 6 - 8 = -2 4
Total 72 36
Firstly, the mean of the above data is given by;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{72}{9}[/tex] = 8
(1)Now, the variance of the given data is;
Variance = [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]
= [tex]\frac{36}{9-1}[/tex] = 4.5
So, the standard deviation, (S.D.) = [tex]\sqrt{\text{Variance}}[/tex]
= [tex]\sqrt{4.5}[/tex] = 2.12
(2) Now, each value is added by 2; so the new data set is given by;
X [tex]X-\bar X[/tex] [tex](X-\bar X)^{2}[/tex]
7 7 - 10 = -3 9
7 7 - 10 = -3 9
10 10 - 10 = 0 0
12 12 - 10 = 2 4
12 12 - 10 = 2 4
12 12 - 10 = 2 4
11 11 - 10 = 1 1
11 11 - 10 = 1 1
8 8 - 10 = -2 4
Total 90 36
Firstly, the mean of the above data is given by;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{90}{9}[/tex] = 10
(1)Now, the variance of the given data is;
Variance = [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]
= [tex]\frac{36}{9-1}[/tex] = 4.5
So, the new standard deviation, (S.D.) = [tex]\sqrt{\text{Variance}}[/tex]
= [tex]\sqrt{4.5}[/tex] = 2.12
(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged as we see in the case of variance or standard deviation.
Please help i need this answered!!
Everything you answered so far looks good. Nice work.
For question 10, we need to find two numbers that multiply to 3(-1) = -3 and also add to 2. The 3 and -1 are the first coefficient and last term. The 2 is the middle coefficient.
Through trial and error, the two numbers we're after are 3 and -1
3 times -1 = -3
3 plus -1 = 2
We break up the 2x into 3x - 1x and factor like so...
3x^2 + 2x - 1
3x^2 + 3x - 1x - 1 ... replace 2x with 3x-1x
(3x^2+3x) + (-1x-1) ... pair up terms
3x(x+1) - 1(x+1) .... factor each parenthesis group
(3x-1)(x+1) ... pull out the gcf (x+1)
You can use FOIL, the box method, or distribution to go from (3x-1)(x+1) back to 3x^2+2x-1 again.
The answer to problem 10 is (3x-1)(x+1)Answer:
Step-by-step explanation:
I need help with 6 and 7
Answer:
Step-by-step explanation:
6):
Take the small right triangle with the sides 25 and 7.
☆ The Pythagorian theorem ☆
Let x be the third side.
● 25^2 = x^2 + 7^2
Substract 7^2 from both sides
● 25^2 -7^2 = x^2 +7^2 -7^2
● x^2 = 25^2 -7^2
● x^2 = 576
● x = 24 inches
The third that we find is the half of the side of the square.
Multiply it by 2 and get the side of the square.
● 24 × 2 = 48 inches
The perimeter of the square is the side times 4.
● P = 48 × 4
● P = 192 inches
■■■■■■■■■■■■■■■■■■■■■■■■■■
7):
Both triangles are righr and they have a khown angle.
Start with the small one and calculte the third angle.
The sum of a triangle angles is 180°
Let B be the third angle.
● B = 180-(90+51) = 39°
That's equal to the second angle of the second's triangle.
So it's an AA similarity.
So:
● x/24 = 7/15
● x = (7/15)×24
● x = 11.2
Which of the variable expressions below is a trinomial with a constant term? A. 3x5 – 2x3 B. x5 – 3x2 + 5x C. 7x6 + 2x4 – x3 + 7 D. 4x2 – 3 + x3
Answer:
Option (D)
Step-by-step explanation:
Option (A).
3x⁵ - 2x³
There are two terms with the variable 'x' in the given expression. therefore, it's a binomial with no constant term.
Option (B).
x⁵ - 3x² + 5x
This expression has three terms with variable 'x'.
Therefore, it's a trinomial without no constant term.
Option (C).
7x⁶ + 2x⁴ - x³ + 7
It's a quadrinomial having 4 terms. '7' is the constant term in the given expression.
Option (D).
4x² + x³ - 3 ≈ x³ + 4x² - 3
It's a trinomial with a constant term 3.
Therefore, Option (D) is the answer.
find y.
picture attached
The cost of a cycle is $ 950 and that of a scooter is $ 23,500. He sold them together for $ 25,000. Find his profit.
actual cost is 950+23,500=24450
he sold them for 25000 so his profit is 25000-950-23500=550
Answer:
A cycle + A scooter
= 950 + 23,500
= 24,450
Profit = Sold - cost
= 25,000 - 24,450
= 550
So the profit is $550
What is the volume of the following rectangular prism?
Answer:
1/10 units ^3
Step-by-step explanation:
The formula for the volume is given by
V = Bh where B is the area of the base and h is the height
V = 3/20 units ^2 * 2/3 units
= 3/20 * 2/3
= 1/10 units ^3
I need help please so if you could help that would be nice. Also i will make brainliest
A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the tent pole is 44 feet, how far is it from the bottom of the tent pole to the point where the wire is fastened to the ground? (The tent pole is not necessarily perpendicular to the ground.)
Answer:
35.11 ft
Step-by-step explanation:
This given situation can be thought of as triangle [tex]\triangle PQR[/tex] where PQ is the length of pole.
PR is the length of rope.
and QR is the distance of bottom of pole to the point of fastening of rope to the ground.
And [tex]\angle Q \neq 90^\circ[/tex]
Given that:
PQ = 44 ft
PR = 51 ft
[tex]\angle R = 58^\circ[/tex]
To find:
Side QR = ?
Solution:
We can apply Sine Rule here to find the unknown side.
Sine Rule:
[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]
Where
a is the side opposite to [tex]\angle A[/tex]
b is the side opposite to [tex]\angle B[/tex]
c is the side opposite to [tex]\angle C[/tex]
[tex]\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ[/tex]
Now,
[tex]\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ[/tex]
Let us use the Sine rule again:
[tex]\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft[/tex]
So, the answer is 35.11 ft.
if "f" varies directly with "m," and f = -19 when m = 14, what is "f" when m = 2
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14, thus
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2, then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
What is the x-value of the solution to the system of equations? 5x + 4y = 8 2x − 3y = 17 −3 −2 4 5
Answer:
x = 4Step-by-step explanation:
5x + 4y = 8 ⇒ 4y = 8 - 5x ⇒ y = (8 - 5x)÷4
2x − 3y = 17
2x - 3(8 - 5x)÷4 = 17
×4 ×4
8x - 3(8 - 5x) = 68
8x - 24 + 15x = 68
+24 +24
23x = 92
÷23 ÷23
x = 4
Answer:
it is 4
Step-by-step explanation:
i did it on edge hope it helps.:)
What is the ratio of the length of to the length of?
Answer:
1/4
Step-by-step explanation:
What is the ratio of the length of to DE the length of BC
The perimeter of a sector is given by:
P = [tex]\frac{\theta}{360}**2\pi r[/tex]
Where [tex]\theta[/tex] is the angle it subtends from the center and r is the radius of the circle.
For Sector ADE, the radius (r) = r/2 and the angle [tex]\theta[/tex] = β. Therefore:
Perimeter of DE = [tex]\frac{\beta}{360}**2\pi (\frac{r}{2} )=\frac{\beta}{360}(\pi r)[/tex]
For Sector ABC, the radius (r) = r and the angle [tex]\theta[/tex] = 2β. Therefore:
Perimeter of BC = [tex]\frac{2\beta}{360}**2\pi r=\frac{2\beta}{360}(2\pi r)=\frac{\beta}{360}*(4\pi r)[/tex]
The ratio of the length of to DE the length of BC =
Answer:
1/4
Step-by-step explanation:
Find the difference between8/15 and −2/3. Show all calculations in your final answer.
Answer:
6/5
Step-by-step explanation:
8/15 - (-2/3)
8/15 + 2/3
24 + 30/45
54/45 = 6/5
Thus, the difference between 8/15 and -2/3 is 6/5
Start by changing the minus a negative to plus a positive.
So we have 8/15 + 2/3.
To add these two fractions together, we need a common denominator.
The common denominator is simply the
least common multiple for the two denominators.
You should find that the least common multiple is 15.
Since 8/15 already has 15 as its denominator, leave it.
To get a denominator of 15 in 2/3, we multiply top
and bottom of 2/3 by 5 to get 10/15.
So we have 8/15 + 10/5.
This simplifies to 18/15.
Now reduce to get 6/5.
A researcher wants to use a confidence interval to estimate the proportion of college students in his state who plan to vote in the 2020 presidential election. He plans to randomly sample 120 college students, and plans to construct a 95% or 99% confidence interval. Which of these confidence intervals will be wider, and why
Answer:
99% confidence interval will be wider because as the level of confidence increase the width increases as well and the standard error decreases
Step-by-step explanation:
The confidence interval is directly proportional to the sample size hence the 99% confidence interval will be wider than the 95% confidence interval of the sample of 120 college students
using a 99% confidence interval gives a more accurate result than a 95% confidence because the standard error decreases with increase in confidence interval
The circumference of a circle is 6 inches. What is the area of the circle?
A. 3π in. squared
B.9π in squared
C.12π in. squared
D.36π in squared
Answer:
(B) 9π in²
Step-by-step explanation:
I’m going to assume that by 6 inches you meant 6π inches.
If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is [tex]2\pi r[/tex]).
[tex]6\div2=3[/tex]
So the radius is 3.
Now that we know the radius, we can find the area by using the equation [tex]\pi r^2[/tex].
[tex]\pi 3^2\\\pi9\\9\pi[/tex]
Hope this helped!
Answer:
Step-by-step explanation:
2πr = 6, r = 3/π
πr² = π(3/π)² = 9/π in.²
The length of a rectangle is 5/6 feet. The width is 3/8 feet. How much greater is the length of the rectangle than the width?
Answer:
0.46 feet
Step-by-step explanation:
Length = 5/6 feet (or 0.254 m)
Width = 3/8 feet (or 0.114 m)
(5/6 - 3/8) feet = 11/24 feet or 0.46 feet (0.140 m)
Find the measure of f.
Answer:
44 degrees.
Step-by-step explanation:
The 3 small triangles are isosceles so m < a = m < b , therefore
m < a = (180 - 92) / 2 = 44 degrees.
m < f = m < a ( they are both subtended on the circle by the same chord (cd)),
So m < f = 44.
Help, Answer ASAP; will give brainliest
Answer:
PY = 14.5
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other, thus
XZ = WY , that is
4x - 1 = x + 7 + x + 7
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = 7.5
Thus
PY = x + t = 7.5 + 7 = 14.5
Step-by-step explanation:
py is equal to wp because the figure is a rectangle.x+7+x+7= 4x-1
2x+14=4x-1
14= 2x-1
15= 2x (divide)
x = 7.5
wp= 7.5cm
not really sure
12 – 2x= -2(y – x)
-2x = -2(y – x) – 12
x= (y - x) + 6
Answer:
x=o and y= -6
Step-by-step explanation:
12-2x = - 2(y-x)
or,12-2x = -2y + 2x
or, 12 = - 2y + 4x
or, 12/2= 2x - y
or, 2x - y = 6
• 2x -6= y.....eqn_1
-2x=-2y+2x -12
or,4x +2y= -12
or,4x + 2(2x-6)= -12
or, 4x+4x-12=-12
or, 8x= 0
• x= o
putting the value of x in eqn...3
o=(y-0)+6
or, o= y + 6
•y = -6
Determine if the event described is independent or dependent. You pick a marble at random from a group of marbles, don't replace the marble, and pick a second marble.
Answer:
dependent
Step-by-step explanation:
This is a dependent event. There is one less marble in the bag to choose from
Say there was 1 red marble and 4 blue marble. You drew the red marble on the first pick, now you cannot get a red marble on your second pick.
If you drew a blue marble on the first pick you could get a red marble on the second pick.
So what happens on the first pick affects the second pick
Positive numbers are not closed under subtraction. Give an example of this 1
below.
Answer:
5 -3 = 2
3-5 = -2
Step-by-step explanation:
In this question, we want to examine the validity of the statement by the use of an example.
Firstly, we need to understand the meaning of the fact that they are ‘closed’
By saying these numbers are closed under this arithmetic operation i.e subtraction, we directly mean that they obey the closure property.
Now, to obey the closure property means that if we move either way i.e by switching the numbers and performing the same arithmetic operation of subtraction, we are supposed to get same answer.
What this means in terms of examples is as follows;
Consider two positive numbers, 5 and 3
Now we know that 5-3 = 2
To check if the closure property is obeyed, switch the place of the numbers.
This means we would have;
3-5 = -2
We can see that both results are not the same. We can then conclude that the arithmetic operation of subtraction is not closed or does not obey the closure property for positive numbers.
Part
This table shows the prices of the three TVs in addition to their length and width. Is the price of a TV proportional to the length of its screen? How
do you know
Answer:
No! They are not proportional!
Step-by-step explanation:
Proportional prices to the length means that
(price 1/length 1)=(price 2/length 2)=(price 3/length 3)
Even by plugging in the numbers yourself to double check my numbers, and getting and answer for each ratio, it is clear that they are not proportional.
Answer:
The ratio of screen length to price in the first row is 16/160, which simplifies to 1/10.
The ratio of screen length to price in the second row is 20/180, which simplifies to 1/9.
The ratio of screen length to price in the third row is 24/200, which simplifies to 3/25.
Because 16/160 doesn't = 20/180 doesn't = 24/200, the ratios are not equivalent. This is not a proportional relationship.
PLEASE HELP I HAVE LIKE 10 MINUTES A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games? A. 3:5 B. 3:8 C. 5:3 D. 8:3 A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds against the Cougars winning the toss in exactly one of three games? A. 3:5 B. 5:3 C. 3:8 D. 8:3 A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights? A. 1:1 B. 1:7 C. 1:8 D. 7:1
Answer:
a
Step-by-step explanation:
the angles of traingle are in the ratio 3:7:8 find them in degrees as well as in radians
