There are 14 birds sitting on a wire. One-half of the birds are black. How many black birds are sitting on the wire?
Answer:
7
Step-by-step explanation:
There are 14 birds sitting on the wall
One half of the birds are black
Therefore the number of black birds can be calculated as follows
= 14×1/2
= 14×0.5
= 7
Hence 7 birds are black
Earth is the third planet from the Sun, with an average distance of
93,000,000 miles. It takes light about 8 minutes to travel from the Sun
to Earth.
Pluto, a dwarf planet, has an average distance of 3.7 X10° miles
from the Sun. How many times farther from the Sun is Pluto than
Earth? How long does it take light to reach Pluto?
Answer:
The ratio of the distance of Pluto and the earth to the Sun is 40.
Time taken by light to travel from Sun to Pluto is 5.3 hours.
Step-by-step explanation:
Distance between Earth an Sun = 93,000,000 miles
Time from Sun to Earth = 8 minutes
Distance beteen Pluto and Sun = 3.7 x 10^9 miles
The ratio of the distance between Pluto and Sun to the Earth and Sun is
[tex]\frac{3.7\times 10^9}{93000000}\\\\=39.8 =40[/tex]
Now let the time taken by the light to move from Sun to Pluto is t.
[tex]\frac{93000000}{8}=\frac{3.7\times 10^9}{t}\\\\t =318.28 minutes = 5.3 hours[/tex]
Solve the following quadratic equation. *
x^2+12x-45=0
Answer:
9 over 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x^2 + 12 - 45 = 0
solving by middle term break method
x^2 + (15 - 3) - 45 = 0
x^2 + 15x - 3x - 45 = 0
x(x + 15) - 3(x + 15) = 0
(x + 15)(x - 3) = 0
either x + 15 = 0 OR, x - 3 = 0
x + 15 = 0
x = 0 -15
x = -12
x - 3 = 0
x = 0 + 3
x = 3
therefore x = -12,3
i have done solution for the given question in two different methods.
the solution done in note copy is by using quadratic formula.
Please help. I really need to pass this.
Answer:
3.75
Step-by-step explanation:
r²+9²=(6+r) ²
r²+81 = 36+12r + r²
81=36+12r
=> 12r = 45
r = 45/12 = 3.75
What is 700,000+900+60+7 in standard form
Step-by-step explanation:
here is the answer for your question
a girl 65 marks out of 80. What percent mark did she have?
Answer:
the marks obtained by a girl in percentage is 81. 25%
Answer:
81.25%
Step-by-step explanation:
100 (65/80)
Nathan dove −4 feet into a pool. Jenny dove deeper into the same pool. Which could represent the depth that Jenny dove?
A −5 feet
B −3 feet
C 2 feet
D 6 feet
Please help me!! I will mark you as BRAINLIEST ANSWER!
Which data set has high consistency and low variability? Why?
Answer:
I would say Group A
Step-by-step explanation:
There is more of the latter half than the first half, meaning there is low variability but high consistency in the second half.
Three sides of a triangle measure 25 inches, 24 inches, and 7 inches. Which statement about the side lengths is correct?
Answer:
Well this needs more of a discription. I would say that 25 inch is the hypotenuse and the lenght is 24 inches. 7 inches is the width
A rectangle I'd formed by placing two identical squares side by side. The area of the rectangle is two centimeters squared. What is the perimeter of one square.
Answer:
4cm
Step-by-step explanation:
first find the length of one side of the square
let x represent that
making 2x length of the rectangle
area of a rectangle=length x width
2cm²=2x×x
2cm²=2x²
2cm²/2=2x²/2
1cm²=x²
1√cm²=√x²
1cm=x
perimeter of a square=4xside
4x1cm
4cm
a que taxa mensal devo empregar um capital de r$ 20.000 para que no fim de 10 meses renda 18.000 de juros
Answer:
Following are the solution to the given question:
Step-by-step explanation:
[tex]\to 18000=2000 \times i \times 10 \\\\\to 18000=200000 \times i\\\\\to i=\frac{18000}{200000}\\\\\to i= \frac{18}{200}\\\\ \to i= \frac{9}{100}\\\\ \to 0.09\\\\[/tex]
Calculating the percentage:
[tex]\to 0.09\times 100=9\%[/tex]
If you place a 36 foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building how tall is the building round to the nearest tenth of a foot
Answer:
height = 16.5 feet
Step-by-step explanation:
Givens
Start by drawing a right angle triangle. The hypotenuse is 36 and the side adjacent to where the ladder meets the ground is the adjacent side. The tallest part of the building is found from the Pythagorean Theorem.
Givens
Hypotenuse = 36
Adjacent = 32
Height = ?
Formula
a^2 + b^2 = c^2
c is the ladder length
a = 32
b = ?
Solution
32^2 + b^2 = 36^2
1024 + b^2 = 1296 Subtract 1024 from both sides
b^2 = 1296-1024
b^2 = 272 Take the square root of both sides.
sqrt(b^2) = sqrt(272)
b = 16.49
simplify the following
(2p+1)(2p-1)
PLEASE HELP ME I NEED AN ANSWER ASAP!! <3
(photo included)
Answer: B.
tan 45=perpendicular/base
1=8/AB
So, AB=8
Since it's a right-angled triangle, BC is a hypotenuse.
BC=√(AC^2+AB^2)
=r√(8^2+*^2)
=8 √2
"4 + 3" is an example of a(n) ___
Answer:
Additive property of association?
You did not specify what kind of answer you are looking for.
You could just be looking for something like "addition problem" or "polynomials" or anything.
I will edit or comment an answer if this gets editted with a bit more specification. :D
Step-by-step explanation:
Explain how to use a graph of the function f(c) to find f(3).
Which of the following functions is graphed below?
Answer:
Answer B - y=[x]+7
Step-by-step explanation:
A normal [x] function has a slope of one, a y intercept of 0, and all the other basic values.
7 changes this.
Looking at the graph, we see that the y intercept is now 7.
How can this be? x was added to by 7.
If it was subtracted, it would be -7, not postive 7.
So the answer is y=[x]+7
Hope this helps!
Answer:
A
Step-by-step explanation:
when we accept X to 0, y should be 7 and when we accept X to 2 or 4 or 6, y should be in order to 9, 11 and 13.
I need help please!!
Answer:
10 or in coordinate form(0,10)
Step-by-step explanation:
The y intercept is where the line crosses the y axis
The graph crosses the y axis at 10
(0,10)
Which number(s) below belong to the solution set of the inequality? Check all
that apply.
X+ 30 < 60
A. 30
B. 45
C. 1
D. 50
E 300
F 29
Answer:
C) 1
F) 29
Step-by-step explanation:
all numbers less than 30 are solutions
Answer:
C. 1
F 29
Step-by-step explanation:
X+ 30 < 60
Subtract 30 from each side
X+ 30-30 < 60-30
x < 30
A. 30 no not less than 30
B. 45 no not less than 30
C. 1 yes
D. 50 no not less than 30
E 300 no not less than 30
F 29 yes
If f(x) = 2x, then f-1(x) =
1/2 х
x-2
-2x
Answer:
1/2x
Step-by-step explanation:
y = 2x
To find the inverse, exchange x and y
x = 2y
Solve for y
Divide each side by 2
x/2 = 2y/2
1/2x = y
The inverse is 1/2x
Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5
Answer:
First, we write the augmented matrix.
⎡
⎢
⎣
1
−
1
1
2
3
−
1
3
−
2
−
9
|
8
−
2
9
⎤
⎥
⎦
[1−1123−13−2−9 | 8−29]
Next, we perform row operations to obtain row-echelon form.
−
2
R
1
+
R
2
=
R
2
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
3
−
2
−
9
|
8
−
18
9
⎤
⎥
⎦
−
3
R
1
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
0
1
−
12
|
8
−
18
−
15
⎤
⎥
⎦
−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]
The easiest way to obtain a 1 in row 2 of column 1 is to interchange
\displaystyle {R}_{2}
R 2
and
\displaystyle {R}_{3}
R 3
.
Interchange
R
2
and
R
3
→
⎡
⎢
⎣
1
−
1
1
8
0
1
−
12
−
15
0
5
−
3
−
18
⎤
⎥
⎦
InterchangeR2andR3→[1−11801−12−1505−3−18]
Then
−
5
R
2
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
57
|
8
−
15
57
⎤
⎥
⎦
−
1
57
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
1
|
8
−
15
1
⎤
⎥
⎦
−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]
The last matrix represents the equivalent system.
x
−
y
+
z
=
8
y
−
12
z
=
−
15
z
=
1
x−y+z=8 y−12z=−15 z=1
Using back-substitution, we obtain the solution as
\displaystyle \left(4,-3,1\right)
(4,−3,1)
What decimal is equivalent to 1/8
Answer:
0.125
Step-by-step explanation:
Becuase math
I might give brainliest, please help down below.
Answer:
4.) 7.03
5) 2.31
6.) five tenths
7) nine hundredths
8. 7
9.) three tenths
a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is 12 ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth.
Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{l}[/tex] ( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l = [tex]\frac{12}{cos70}[/tex] ≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long
Write twelve thousand twelve hundred and twelve in numbers
13,212
Step-by-step explanation:
12000+1200+12
This is such a mind bending question
Goodluck
Help I’m to lazy to do it
Simple interest I in dollars is calculated using the formula I=prt. Here, p represents the
principal, or amount, in dollars that is invested or borrowed; r represents the annual
interest rate, expressed as a percent; and t represents time, in years. Find the value of
the remaining variable in the simple interest formula. (Hint: Write percents as decimals.)
1 = $1080, r = 4%, t = 3 years
Answer:
129.6
Step-by-step explanation:
Simplify (5np3)3
Question shown as picture
Answer:
[tex]125 {n}^{3} {p}^{9} [/tex]
Find the measures of all the angles in the rhombus shown below.
31
1
5
2
4
3
Luis camina 2 kilómetros hacia el sur y luego un cierto número de kilómetros hacia el este. Termina a 5 kilómetros de su posición inicial. ¿Cuántos kilómetros caminó Luis hacia el este?
Answer:
camino 5 kilometros
Step-by-step explanation:
2-3+5