Answer: 30 boys
Step-by-step explanation:
Boys:Girls
3 : 1
Let no. of girls =x
⇒ no. of boys =3x.
⇒ no. of students in class =4x
= 4/3×3x
= 4 /3 ×no. of boys
40=4/3* no.of boys
40* (3/4)=no.of boys
30=no of boys
What is the midpoint of the line segment connecting the points (-4, 5) and (4,7)?
Answer:
(0,6)
Step-by-step explanation:
Answer:
(0,6)
Step-by-step explanation:
We need to find the midpoint of the line segment having end points (-4,5) and (4,7). So, here we can use the Midpoint Formula :-
Points :- (-4,5) and (4,7).
Using Midpoint Formula ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)[/tex]
Substitute the respective values ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{-4+4}{2},\dfrac{7+5}{2}\bigg)[/tex]
Simplify the numbers ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{0}{2},\dfrac{12}{2}\bigg)[/tex]
This equals to ,
[tex]\rm\implies \boxed{\blue{\rm Midpoint =\bigg( 0,6\bigg)}}[/tex]
Hence the midpoint is (0,6) .
Which angles are supplementary to 24? Select all that apply.
Answer:
<2, <3, <6, <7
Step-by-step explanation:
Supplementary to <4 means that, <4 and that angle equals 180. So we will move angle by angle.
<1 = Is not supplementary because both are virtually opposite angle and virtually opposite angles are equal.
<2 = Is supplementary angle because it is a vertical linear pair with <4.
<3 = Is supplementary angle because it is horizontal linear pair with <4
<5 = Is not supplementary angle because they are alternate interior angles and alternate angles are equal.
<6 = Is supplementary because angles on the same side and same interior/exterior are supplementary. (By interior/exterior, I meant that they have to be either interior or exterior. No both)You can also use the reason that 6 and 2 are corresponding angles, and corresponding angles are equal. So, if 2 is supplementary to 4, then 6 is also supplementary to 4. I think the latter is better than the first.
<7 = Is supplementary because it is vertically opposite to 6 and 6 is supplementary, so 7 is also supplementary.
<8 = Not supplementary. Because 4 and 8 are corresponding angles and corresponding angles are not equal. And also 8 is equal to 5. And 5 is not supplementary to 4. That means 8 is also not.
Ugh... I really hope u understand, and don't think that I am blabbering.
Thank You
Please mark me as the brainliest
Consider the graph below: Point T(-2; 3) is a point on the Cartesian Plane such that B is the angle of inclination of OT. T(-2;3) у х 2.1 Calculate the following without the use of a calculator: a) tanſ b) 13 sin B.cosB (2)
Answer:
(a) - 3/2
(b) - 78/25
Step-by-step explanation:
According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .
The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.
The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.
(a)
[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]
(b)
[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]
How do I factor this equation fully?
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answer:
D
Step-by-step explanation:
We have the quadratic function:
[tex]f(x)=-x^2-4x+5[/tex]
First, the domain of all quadratics is always all real numbers unless otherwise specified. You can let x be any number and the function will be defined.
So, we can eliminate choices A and B.
Note that since the leading coefficient is negative, the parabola will be curved downwards. Therefore, it will have a maximum value. This maximum value is determined by its vertex, which is (-2, 9).
Since it is curving downwards, the maximum value of the parabola is y = 9. It will never exceed this value. Therefore, the range or the set of y-value possible is always equal to or less than 9.
So, the range of the function is all real numbers less than or equal to 9.
Our answer is D.
It is not C because the maximum value is dependent on y and not x.
Is it true or false that for all sets A, B, and C, A U (B - C) = (A U B) - C?
Answer:yes
Step-by-step explanation:66
The given statement A U (B - C) = (A U B) - C is true.
What is a set ?A set is collection of well defined objects.
According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.
Lets consider we have three sets A, B and C and we also consider they intersect each other.
( B - C ) represents the elements which belongs to B but not in C.
∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.
AND
( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.
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(Right angle Trigonometry) Please help me solve and explain!
Answer:
31.3
Step-by-step explanation:
Reference angle given = 56.1°
Hypotenuse = 56.1
Adjacent side = x = ?
We would apply CAH, which is:
Cos 56.1° = Adj/Hyp
Cos 56.1° = x/56.1
56.1 × Cos 56.1° = x
31.2895006 = x
x = 31.3 (approximated to the nearest tenth)
Kay leaves a $6 dollar tip for a $60 dollar bill what percentage is the tip
Answer: uhh 10%??
Step-by-step explanation:
I'm not rlly good at percentage-
smallest to biggest pls
Step-by-step explanation:
45.399,45.454,45.545,45.933
If l=10, b=5, h=2, find the values of 2h(l+b)
Answer:
60
Step-by-step explanation:
given:
l = 10
b = 5
h = 2
to find:
2h(l + b)
substitute the given values of l , b and h
=2*2(10 + 5)
=4*15
=60
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{2h(l + b)}[/tex]
[tex]\large\text{If l = 10, b = 5, and h = 2, then substitute it into the equation!}[/tex]
[tex]\large\textsf{= 2(2)((10)+ 5)}[/tex]
[tex]\large\textsf{2(2) = \boxed{\bf 4}}[/tex]
[tex]\large\textsf{= 4(10 + 5)}[/tex]
[tex]\large\textsf{10 + 5 = \boxed{\bf 15}}[/tex]
[tex]\large\textsf{4(15)}[/tex]
[tex]\large\textsf{= \boxed{\bf 60}}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: \textst \bf 60}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Use the distributive property to write the next step in simplifying th
numerical expression
7(2 + 7)
A. 7• 2+7•7
B. 7• 2+7
C. (7+2) • (7 + 7)
D. 7+2 • 7+ 7
Answer:
A)
Step-by-step explanation:
find the area of the following figures:
Answer:
Area = 156 square cm
Step-by-step explanation:
what is 15/16 -1/16? 3/4 or 13/16 or 7/8 or 1?
Answer:
7/16
Step-by-step explanation:
(15/16 - 1/16)
(15 - 1)/16 = 14/16 = 7/8
•°• = 7/8
Write in standard form 4.91E-2
Answer:
4.91e-2 in decimal form is 0.0491
the sum of two consecutive numbers is 2x+3. What are the numbers
Answer: 2 and 3
Step-by-step explanation:
its numbers
Find the area for me pls
this figure can be divided into three parts one is rectangle other one is semicircle and the third one is one fourth of the circle .so let's find the area of each figure one by one. For the rectangle 12×8 =96
for semicircle that is on the top it has the radius 6 which is a half of 12
so area of the semicircle is
[tex] \frac{1}{2} \pi \: r {}^{2} \\ \frac{1}{2} \times 3.14 \times 6 {}^{2} \\ 3.14 \times 18 \\ 56.52[/tex]
no that's fine. 80 of the 1/4 of the other Circle
[tex] \frac{1}{4} \pi {}^{2} \\ \frac{1}{4} 3.14 \times 8 {}^{2} \\ 3.14 \times 16 \\ 50.24[/tex]
add all these areas
96+56.52+50.24 =202.76
Area of a trapezoid
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
6 cm
0
10 cm
8 cm
12 cm
Answer:
h
Step-by-step explanation:
h
Here is a table of values for y = f(x).
Х
-2 -1 0 1 2 3
4.
5
6
f(x) 5
6 7 8 9 10 11 12 13
Mark the statements that are true.
Step-by-step explanation:
the true answers are:
A. f(-1)=6
D. the domain for f(x) is the set
{-2,-1,0,1,2,3,4,5,6}
What number must be added to both the numerator and denominator of the fraction 2/5 to get 7/8?
a) 13
b) 15
c) 17
d) 19
Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+ - =-4
a-25+2c=6
1
0
0
2
1
0
-2.
0
0
1
0
1
0
0
1
0
1
0
- 2
0
0
1
0
2
1
1
2.
-4
Answer:
The one that's include a rows 2 1 1 2
Answer:
A
Step-by-step explanation:
they wanted the reduced echelon form.
On Edge. btw
Given f(x) = x2 + 24 - 12, find f(3)
Answer:
f(3) = 12
Step-by-step explanation:
f(3) = (3 x 2) + 24 - 12
= 6 + 24 - 12
f(3) = 12
If this helps you, please give brainliest!
Answer:
Step-by-step explanation:
f(x) = [tex]x^{2}[/tex] + 24 - 12
substitute 3 inplace of x
f(3) = [tex]3^{2}[/tex] + 24 - 12
=9 + 24 - 12
21
If the question is f(x) = x2 + 24 - 12 {x*2 + 24 - 12}
now substitute 3 in place of x
f(3) = 3*2 + 24 - 12
=6 + 24 - 12
18
Which expression is equivalent to 4p^-4 10q -3? Assume
Step-by-step explanation:
Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is

Note that the equivalent width is practically insensitive to the number density of absorbing material.
what is 5.73 as a mixed number
Answer:
[tex]5 \ \frac{73}{100} [/tex]
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are
2 numbers to the right of the decimal point, place the decimal number over 10^2 (100). Next, add the whole number to the left of the decimal.
Answer:
5 73/100
Step-by-step explanation:
5.73 = 573
100
= 573
100
as a fraction
To convert the decimal 5.73 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
5.73 = 5.73
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
5.73
1
= (5.73 × 100)
(1 × 100)
= 573
100
.
(This fraction is alread reduced,
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 573
100
is also equal to 5 73/100
when expressed as a mixed number.
HELP!!!! NUMBER 2
2. Find the distance between these two points.
First Point
Second Point
Distance
(5, - 2)
(8,6)
(5,6)
(-3,6)
(-3,6)
(5,-2)
Answer:
1. 8
2 . 11
[tex]3 . \sqrt{128} \ or \ 8 \sqrt2[/tex]
Step-by-step explanation:
[tex]Distance = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 }[/tex]
1 . ( 5 , - 2 ) and ( 5 , 6 )
[tex]Distance = \sqrt{(5 -5)^2 + ( 6-(-2))^2} = \sqrt{ 0 + 8^2 } = \sqrt{64} = 8[/tex]
2 . ( 8 , 6 ) and ( - 3 , 6 )
[tex]Distance = \sqrt{( -3 -8)^2 + ( 6 - 6)^2 } = \sqrt{ (-11)^2 + 0 } = \sqrt { 121 } = 11[/tex]
3. ( 5 , - 2 ) and ( -3 , 6 )
[tex]Distance = \sqrt{(-3 - 5)^2 + ( 6 --2)^2} = \sqrt{(-8)^2 + ( 8)^2} = \sqrt{ 64 + 64 } = \sqrt{128}[/tex]
[tex][ \ \sqrt{128} = \sqrt{ 2 \times 64} = \sqrt{ 2 \times 8^2 } = 8 \sqrt{2} \ ][/tex]
The relationship between the amounts of blue
and red paint needed to make a certain shade
of purple is shown in the following graph.
10+
9+
8+
7
6
Liters of red paint
5+
4+
3+
2
1
→
3
1
2
Liters of blue paint
Which statements about the graph are true?
Choose all answers that apply:
Answer:
B
Step-by-step explanation:
Had it on Khan Academy.
True statement for the given graph is the point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.
What is graph?
" Graph is defined as diametrical representation of the relation between the variables on the coordinate plane along x-axis and y -axis."
According to the question,
As given in the graph,
Graph represents the linear relation between red paint and blue paint.
'x -axis' on the graph represents the blue paint
'y- axis' on the graph represents red paint
A. The point [tex](0,0)[/tex] shows that any amount of red and the blue paint will make same shade of purple.
From the graph coordinates [tex](1,3)[/tex] and [tex](2, 6)[/tex]represents that proportion of blue : red to make required purple shade is [tex]1: 3[/tex].
Hence, Option A is not a correct answer.
B. The point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.
Coordinate [tex]( 3,9)[/tex] on the graph represents the ratio of blue : red [tex]= 3 : 9[/tex] which is equals to [tex]1:3[/tex] .
Hence, Option(B) is the correct answer.
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The amount of increase from the cost to the selling price is called the?
Answer:
profit
hope it is helpful to you
Step-by-step explanation:
Markup is the percentage amount by which the cost of a product is increased to arrive at the selling price.
9x5
pls help meeeeeeeeee
Answer:
45
hope this helps
Answer:
45
Step-by-step explanation:
9x5=45
there is 300ml of oil in the small bottle there is six times as much in the big bottle how much oil is in the big bottle?
Answer:
1800 ml of oil
Step-by-step explanation:
300*6
What is the exponential regression equation that fits these data? x у 1 4 2 9 3 27 4 90 5 250 6 580 O A. y = 39.16x2 - 169.38x+ 158.9 O B. y = 1.31(2.804) O C. y = 2.80(1.31") O D. y = 104.74x - 206.6
Answer:
1.31(2.80)^x
Step-by-step explanation:
Given the data :
x : 1 2 3 4 5 6
y : 4 9 27 90 250 580
Using technology, the exponential regression data obtained by fitting the data is :
y = 1.31(2.80)^x
Where, y = predicted value
1.31 = Initial value
2.80 = growth fractor
x = period
Answer:
1.31(2.80)^x
trust me i just did the cst
Step-by-step explanation:
Graph the equation. Let x3, 2, 1, 0, 1, 2, and 3. y=3x-1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The attachment shows the table of point values and the graph.
