Answer:
-60 , -19 , 6.28 , 14
Step-by-step explanation:
Order the number in ascending order, or from least to greatest. Note that the bigger the negative number, the smaller the number. The bigger the positive number, the bigger the number:
-60 , -19 , 6.28 , 14
~
Note: For 6.28, the decimal point results in 6 being in the ones place, 2 being in the tenths place, 8 being in the hundredths place. By the rules regarding the usage of decimals, place values after the decimal point will be significantly less then the place values before the decimal point, and would be used to determine a more exact value.
please help me, if you help then thanks!
Answer:
B. [tex] {a}^{ - 7 - 10} [/tex] (second option)
Step-by-step explanation:
[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]
[tex] {a}^{ - 7 - 10} [/tex]
[tex] - 7 - 10 = - (7 + 10) = - 17[/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 :)
Write 28.63 in expanded notation and word form.
Answer:
Answer below
Step-by-step explanation:
Expanded form : 20 + 8 + 0.6 + 0.03
Expanded form is a way of writing numbers to see the individual math value of digits.
Word form: twenty eight point six three.
HOPE THIS HELPED
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]
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
Find two rational numbers between the root of 2 and root 3
9514 1404 393
Answer:
1.5 and 1.6
Step-by-step explanation:
√2 ≈ 1.41421356...
√3 ≈ 1.7320508...
1.5 and 1.6 are between these numbers
__
If you need the ratio of integers, these numbers are 3/2 and 8/5.
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.
Learn more about Similar Triangles here :
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Rewrite 14 / 25 and 11 / 20 so that they have a common denominator
The fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]
The given parameters include:
[tex]\frac{14}{25} \ and \ \frac{11}{20}[/tex]
To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;
The prime factorization of 25 = 5²
The prime factorization of 20 = 5 x 2²
The LCM of the two numbers = 5² x 2² = 25 x 4 = 100
The fractions can rewritten as follows;
[tex]\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}[/tex]
Thus, the fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]
Learn more here: https://brainly.com/question/17248258
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
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
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] ✅
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]
Learn more : brainly.com/question/17218035
What number is 1/2 of 3/4
Answer
1.5/4
Step-by-step explanation:
What is the value of the expression 4x^3 – 3x when x = 6?
<333
The owner has 8 employees. Seven of them
earn $ 210, $200, $190, $180, $300, $150,$90 a
day. What does the 8th employee get paid, if the
average pay for all 8 employees is $200?
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.
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.
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
What is the arc length of arc cd in the circle below. The circle has a radius of 6ft and an angle measure of 30
9514 1404 393
Answer:
π ft ≈ 3.14 ft
Step-by-step explanation:
The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.
C = 2πr
1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft
The arc length is about 3.14 feet.
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.
11/13 = v/7 round to the nearest tenth
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
What is 12 divided by 2/5?
Answer:30
Step-by-step explanation:
Compare: 7/20 O 35%
who answers first get brainlest
Step-by-step explanation:
7/20
=0.35
35%
=35/100
=0.35
Hence, 7/20=35%
your phone bill is N42. It increases by 10% after 12 months, and a further 20% increase is applied six months later. What’s the price of your phone bill after 18 months?
9514 1404 393
Answer:
N55.44
Step-by-step explanation:
The bill is multiplied by 1+10% = 1.10 after the first increase. The second increase multiplies that by 1+20% = 1.20. After 18 months, the bill is ...
N42 × 1.10 × 1.20 ≈ N55.44 . . . . price after 18 months
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.
To know more about arithmetic operations:
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whats equivalent to (4r+ 3) +(-2r+ 4)
Answer:
2r+7
Step-by-step explanation:
(4r+3)+(−2r+4)
Combine 4r and −2r to get 2r.
2r+3+4
Add 3 and 4 to get 7.
2r+7
:)
What is the probability of getting two heads and 1 tail
Answer:
1/2
please mark me brainliest
a. Solve x + 9 = x + 9. b. If you simplify an equation and get 0 = 0, what can you conclude about the solution(s) of the original equation? a. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. (Simplify your answer.) O B. The solution is all real numbers. O C. There is no solution.
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]