Answer:
81.64 cm
Step-by-step explanation:
c = 2(3.14) x 13
c = 6.28 x 13
c = 81.64
Write the interval notation represented by each description below:
1.
The set of all numbers less than negative ten.
2.
The set of all positive real numbers.
3.
The set of all numbers less than 4.242 and greater than 12.566.
4.
The set of all numbers that are greater than 15 and less than 50.
5.
The set of all numbers that are at most 5.
6.
The set of all numbers that are at least 18.
Thank you so much for your help!
Answer:
1. (-∞ , -10]
2. [0, ∞ )
3. [12.566, 4.242]
4. [15, 50]
5. (-∞ , 5]
6. [18, ∞)
Step-by-step explanation:
Answer:
1. The set of all numbers less than negative ten.
(- ∞, -10)2. The set of all positive real numbers.
(0, +∞)3. The set of all numbers less than 4.242 and greater than 12.566.
(-∞, 4.242 )∪ (12.566, +∞)4. The set of all numbers that are greater than 15 and less than 50.
(15, 50)5. The set of all numbers that are at most 5.
(-∞, 5]6. The set of all numbers that are at least 18.
[18, +∞)PLS HELP! WILL GIVE BRAINLIEST
Answer:
csc x sec x
Step-by-step explanation:
csc = 1/sin
1/sin^2 / cos/sin = 1 / sin^2 * sin/cos = 1 / sin cos = csc sec
In a class of 25 students, 13 students wear glasses and 12 students do not wear glasses.
The ratio of glasses to non-glasses wearing students is 13:12.
Is this ratio part-to-part or part-to-whole?
the ratio of students do not wear glass to total students
[tex]\frac{12}{25}[/tex]
the ratio of students wear glass to total number of students is
[tex]\frac{13}{25}[/tex]
Given
In a class of 25 students, 13 students wear glasses and 12 students do not wear glasses
The ratio of glasses to non-glasses wearing students is 13:12.
Explanation :
we need to find the ratio students wear glasses to whole students
There are total of 25 students.
13 students wear glass
So the ratio of students wear glass to total number of students is
[tex]\frac{13}{25}[/tex]
Similarly , we can find the ratio of students do not wear glass to total students
[tex]\frac{12}{25}[/tex]
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The overall direction of this data is __________. The strength of the association is __________. a.) positive; strong
Answer:
The overall direction of this data is positive. The strength of the association is strong
Step-by-step explanation:
it might be that the data could be negative and not positive
the strength is perfectly strong
base on the whole statement so
hope that helps>3
The overall direction of the data is positive also the strength of the association is strong.
What is an arithmetic operation?
The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
The overall trend of the data is positive, and the association is strongly correlated.
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expand or simplify
3c(5+c) -2(3c-7)
Answer:
It is 3c² + 9c + 14
Step-by-step explanation:
[tex]3c(5 + c) - 2(3c - 7)[/tex]
open the brackets:
[tex] = (15c + 3 {c}^{2} ) - (6c - 14) \\ = (15c + {3c}^{2} ) - 6c + 14[/tex]
express in quadratic equation:
[tex]3 {c}^{2} + 9c + 14[/tex]
What is 12 divided by 2/5?
Answer:30
Step-by-step explanation:
Area
Exercise 5.2
1. Calculate the perimeter and area of the
rectangle with the following sides
a) length = 10 cm; width 6 cm
b) length - 8 cm; width = 6 cm
c) length 11 cm; width=10 cm
d) length = 20 cm; width=15cm
Answer:
perimeter=2(l+w).
2(10+6)
2(16)
32cm.
b)2(8+6)
2(14)
28
c)2(11+10)
2(21)
42.
d)2(20+15)
2(35)
70.
Solve each equation.
3a - 7 = 26
A=
Answer:
a = 11
Step-by-step explanation:
One is given the following equation:
3a - 7 = 26
Use inverse operations to solve this equation:
3a - 7 = 26
(add (7) to both sides)
3a = 26 + 7
Simplify,
3a = 26 + 7
3a = 33
Inverse operations,
3a = 33
(divide both sides by (3))
a = 33 / 3
Simplify,
a = 11
If 18 drinks cost £54, how much will 7 drinks cost ?
Step-by-step explanation:
solution :
cost of 18 drinks (is)=52
Determine which of the following mappings are functions. If the relation is not a function, indicate why it is not.
Answer:
First mapping is a function because there is no more than one output for each input.Second mapping is not a function because there is more than one output for input B.Third mapping is a function because there is no more than one output for each input.Fourth mapping is a function because there is more than one output for each input.Step-by-step explanation:
A function can be defined as two variables (independent and dependent) which cannot have more than one output for each input.
Step-by-step explanation:
1. the first mapping is a function
2. the second mapping is not a function, because: B has 2 relations, C & E have no relations.
3. the third mapping is a function
4. the fourth mapping is not a function, because B has no relation.
Show that the points (3,3) ,. (-2,3) are vertices of an isosceles triangle
Answer:
because the points are vertical and an isosceles has vertical sides
(-1,-6)(-1,-3)(-1,-2)(-4,-2)(-4,1)(-4,4) range
Answer:
range is the y part and domain is the x so the range is the y coordinates
-6,-3,-2,-2,1,4
Step-by-step explanation:
Simplify the complex fraction: 8/9 / -4
Step-by-step explanation:
[tex] \frac{ \frac{8}{9} }{ - 4} \\ \frac{8}{9} \times \frac{1}{ - 4} \\ \frac{8 \times 1}{9 \times - 4} \\ \frac{8}{ - 36} \\ \frac{2}{ - 9} \\ - 0.22[/tex]
Answer:
B. [tex] - \frac{2}{9} [/tex] (second option)
Step-by-step explanation:
[tex] \frac{ \frac{8}{9} }{ - 4} [/tex]
[tex] \frac{8}{9} \div 4 = \frac{8}{9} \times \frac{1}{4} [/tex]
[tex] \frac{8 \times 1}{9 \times 4} = \frac{8}{9 \times 4} [/tex]
[tex] - \frac{2}{9} [/tex] ✅
6(a+2b+3c)=6, left parenthesis, a, plus, 2, b, plus, 3, c, right parenthesis, equals
What is the volume of the rectangular solid?
12 cubic feet
15 cubic feet
5 ft
25 cubic feet
50 cubic feet
2 ft
5 ft
Mark this and retum
Save and Exit
Next
Submit
Answer:
I need to see the rectangular solid
___ minus 14 = 9 times 3
Answer: x=41
Step-by-step explanation:
Let x be the number missing
Given expression
x - 14 = 9 × 3
Simplify by multiplication
x - 14 = 27
Add 14 on both sides
x - 14 + 14 = 27 + 14
[tex]\boxed {x=41}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Step-by-step explanation:
[tex]x - 14 = 9 \times 3 \\ x - 14 = 27 \\ x = 27 + 14 \\ x = 41 \\ thank \: you[/tex]
what is
[tex] \frac{28}{141} [/tex]
as a percentage
Answer:
19,86%
Step-by-step explanation:
[tex] \frac{28}{141} = 0.198582[/tex]
➡️ [tex]0.1986[/tex]
➡️ [tex]0.1986 \times \frac{100}{100} [/tex]
➡️ [tex] \frac{0.1986 \times 100}{100} [/tex]
➡️ [tex] \frac{19.86}{100} [/tex]
➡️ [tex] = 19.86\%[/tex] ✅
Question 7 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
B. What must be true
C. What may be false
D. What may be true
Answer:
what may be true
Step-by-step explanation:
i just took the test and got the answer correct, i hope this helps.
Given that
AB - BC
3, complete the statements to
DE EF
show that AABC - ADEF by the SAS similarity
theorem.
Horizontal and vertical lines are
So, angles
are right angles by definition of
perpendicular
lines.
All right angles are
Therefore, AABC - ADEF by the SAS similarity
theorem.
Answer:
Horizontal and vertical lines are perpendicular. So angles B&E .All right angles are 90°.
i hope you're helped
Horizontal and vertical lines are perpendicular. So, angles B and E are right angle by definition of perpendicular lines. All right angles are 90°/congruent/equal.
What are Similar Triangles?Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.
Given are two triangles ABC and DEF.
Two triangles are similar if all the corresponding angles are equal and the corresponding sides are proportional.
Here, given that,
AB / DE = BC / EF = 1 / 2.
So, two corresponding sides are proportional.
SAS similarity postulate is that, if two corresponding sides of two triangles are proportional and the corresponding included angle is congruent, then the two triangles are similar.
So we have to prove included angle B and E are equal.
A horizontal and vertical lines are always perpendicular.
Here B and E are formed by a horizontal and a vertical line.
So they are right angles.
All right angles are 90°. So they are equal or congruent.
So Triangles ABC and DEF are similar by SAS.
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Compare 7/2 and 10/8
Step-by-step explanation:
7/2
=3.5
10/8
=1.25
Hence, 3.5>1.25
Therefore, 7/2>10/8
If a=2, b=3 and c=4 then find the numerical value of a2+2abc+b2+c2
a=2 b=3 and c=4. then,
a2+2abc+b2+c2
a2+2abc+b2+c2= 2^2+2×2×3×4+3^2+4^2
(replace value of a, b, c by2,3,4 respectively tgen solve)
= 4+48+9+16
= 77………………
Therefore, 77 is correct answer.
Enlargements I cannot do can someone help plz
Answers:
The coordinates of the vertices are
(6,2)(8,2)(8,6)(4,6)These coordinates are from the red points shown in the diagram below.
=============================================================
Explanation:
Because the center of dilation is at the origin, we'll multiply each coordinate of each point by the scale factor.
Specifically, we'll double the coordinate values since the scale factor is 2.
A point like (3,1) becomes (6,2)A point like (4,1) becomes (8,2)and so on
The diagram is shown below. The original preimage is in blue while the dilated enlarged image is in red. Your teacher only wants the location of the red corner points.
Hurry will mark brainiest . There are seven nickels and five dimes in your pocket. Three times, you randomly pick a coin out of your pocket, return it to your pocket, and then mix-up the change in your pocket. All three times, the coin is a nickel. Find the probability of this occurring.
A. 343/1728
B. 1/22
C. 1/8
D. 25/546
Answer: A. 343/1728
Step-by-step explanation:
All you have to do is multiply (or, in this case, cube) both the numerator and denominator to get the probability.
[tex]\frac{7^{3} }{12^{3} }[/tex] or [tex]\frac{7*7*7}{12*12*12}[/tex]
find the coordinates of the vertex
You can either transform this quadratic equation into a vertex form which would rather painful or use derivatives.
I'll use dervatives. We know that vertex of a quadratic function is either its maxima or its minima, since the leading coefficient [tex]-x^2[/tex] has a negative prefix that means we get a downward turned parabola with minima being the vertex.
First we take the derivative with respect to x,
[tex]\dfrac{d}{dx}-x^2-2x+3=-2x-2[/tex]
The derivative is esentially information what is the slope of a function at a particular x. When the slope is 0 we reached some sort of turning point, such as minima.
We therefore do,
[tex]-2x-2=0\implies x=-1[/tex]
So at [tex]x=-1[/tex] there appears to be a minima or x-coordinate of the vertex of the function.
Plug the coordinate into the function to get y,
[tex]y=f(-1)=-1+2+3=4[/tex]
So the vertex of the function is at [tex]\boxed{(-1,4)}[/tex].
Assuming you don't know derivatives, there is another way.
First compute the roots of the function,
[tex]-x^2-2x+3=0[/tex]
[tex]-(x-1)(x+3)=0[/tex]
[tex]x_1=1,x_2=-3[/tex]
In the middle between [tex]x_1,x_2[/tex] is an x coordinate of a vertex,
[tex]x=\dfrac{x_1+x_2}{2}=\dfrac{1-3}{2}=-1[/tex]
Just like we had before, we compute for y, [tex]h(-1)=4[/tex] and again the result is [tex]\boxed{(-1,4)}[/tex].
Hope this helps :)
In a survey of 60 students ,30 drink milk,25 drink curd and 10 students drink as well as curd then.Find the number of students who drink of them.draw a venn-diagram to illustrate the above information.
The price of a sandwich decreases from $6 to $4. What is the percent decrease in the price of the sandwich?
Answer:
33.33%
Step-by-step explanation:
Decrease in price= Original price -- New price
= $6 - $4
= $2
Percentage decrease= $2÷$6 × 100
= 33.33%
-2/5 + 1/2 plz answer need help
Answer:
solution -2/5+1/2 =-2*2+1*5/5*2 =-4+5/10 =1/10
Write the number in expanded form 68,020
Answer:
hope it is helpful
Step-by-step explanation:
68,020-
6= 60,000
8= 8,000
0=0
2= 20
0=0
Determine all values of the constant k for which the given set of vectors is linearly independent in R4.{(1,1,0,−1), (1,k,1,1),(5,1,k,1), (−1,1,1,k)}
If these vectors are to be linearly independent, then there exists some not-all-zero choice for scalars [tex]c_1,c_2,c_3,c_4[/tex] such that
[tex]c_1(1,1,0,-1) + c_2(1,k,1,1) + c_3(5,1,k,1) + c_4(-1,1,1,k) = (0,0,0,0)[/tex]
We can recast this as a system of linear equations,
[tex]\begin{bmatrix}1&1&5&-1\\1&k&1&1\\0&1&k&1\\-1&1&1&k\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\\c_4\end{bmatrix} = \begin{bmatrix}0\\0\\0\\0\end{bmatrix}[/tex]
This system has a solution if the coefficient matrix on the left side is not singular. So we attempt to find k such that it *is* singular, i.e. the determinant is zero:
• A cofactor expansion along the first column gives
[tex]\begin{vmatrix}1&1&5&-1\\1&k&1&1\\0&1&k&1\\-1&1&1&k\end{vmatrix} = \begin{vmatrix}k&1&1\\1&k&1\\1&1&k\end{vmatrix} - \begin{vmatrix}1&5&-1\\1&k&1\\1&1&k\end{vmatrix} + \begin{vmatrix}1&5&-1\\k&1&1\\1&k&1\end{vmatrix}[/tex]
• Cofactor expansions along the first columns of the remaining 3x3 matrices give
[tex]\begin{vmatrix}k&1&1\\1&k&1\\1&1&k\end{vmatrix} = k \begin{vmatrix}k&1\\1&k\end{vmatrix} - \begin{vmatrix}1&1\\1&k\end{vmatrix} + \begin{vmatrix}1&1\\k&1\end{vmatrix} = k^3-3k+2[/tex]
[tex]\begin{vmatrix}1&5&-1\\1&k&1\\1&1&k\end{vmatrix} = \begin{vmatrix}k&1\\1&k\end{vmatrix} - \begin{vmatrix}5&-1\\1&k\end{vmatrix} + \begin{vmatrix}5&-1\\k&1\end{vmatrix} = k^2-4k+3[/tex]
[tex]\begin{vmatrix}1&5&-1\\k&1&1\\1&k&1\end{vmatrix} = \begin{vmatrix}1&1\\k&1\end{vmatrix} - \begin{vmatrix}5&-1\\k&1\end{vmatrix} + \begin{vmatrix}5&-1\\1&1\end{vmatrix} = -k^2 - 6k + 7[/tex]
It follows that
[tex]\begin{vmatrix}1&1&5&-1\\1&k&1&1\\0&1&k&1\\-1&1&1&k\end{vmatrix} = (k^3-3k+2) - (k^2-4k+3) + (-k^2 - 6k + 7) \\\\ \begin{vmatrix}\cdots\end{vmatrix} = k^3 - 2k^2 - 5k + 6 = (k-3)(k-1)(k+2)[/tex]
which makes the coefficient matrix singular if k = 3, k = 1, or k = -2.
Then the four vectors are linearly independent for
[tex]\left\{ k\in\mathbb R \mid k\not\in\{-2,1,3\}\right\}[/tex]
-2/3-8=14 please help
Answer:
-33
Step-by-step explanation:
this math equation looks relatively simple so i assume the actual equation is -2/3x - 8 = 14
add 8
-2/3x =22
multiply by -3/2
answer is -33