Answer: f(-4) = 17
Step-by-step explanation: Substitute (-4) for x.
f(-4) = -5(-4) - 3f(-4) = 20 - 3f(-4) = 17An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal
Answer:
The angle the aero plane makes with the horizontal is approximately 20.925°
Step-by-step explanation:
The given parameters are;
The distance the aero plane flies = 5.6 km
The elevation to which the aero plane flies = 2 km
The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)
By the trigonometric ratio for the sin of the angle, θ, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]
Therefore, the angle θ the aero plane makes with the horizontal is given as follows;
[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]
The angle the aero plane makes with the horizontal ≈ 20.925°.
Can somebody answer this?
Answer:
c. m
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.
Answer:
the slope of the line is m
Step-by-step explanation:
why m?
because as you see in the equation
y=mx+b this means y-b/x = m
as you know slope is ∆y/∆x =m
it is the same as the first one .
Benjamin and Amelia Hopkins have been married since 2016. Benjamin is a U.S. Citizen with a valid Social Security number. Amelia is a resident alien with an Individual Taxpayer Identification Number (ITIN). They elect to file Married Filing Jointly. Benjamin worked in 2020 and earned wages of $25,000. Amelia worked part-time and earned wages of $15,000. They have two children: Harper, who is 9 years old, and Evelyn, who is 12 years old. Both children were supported by their parents all year. Harper is a U.S. Citizen and has a valid Social Security number. Evelyn is a resident alien and has an ITIN. Benjamin, Amelia, Harper, and Evelyn lived together in the U.S. All year 7. Which credit(s) can the Hopkins claim on their 2020 tax return. Are the Hopkins eligible to claim the earned income credit?
Answer:
The answer is "Child tax credit for Harper and No, because Amelia has ITIN."
Step-by-step explanation:
In question 1, The answer is "Child tax credit for Harpe" each qualified kid for tax years 2018-2025 should have SSN through employment provided before the returned closing date. Harper is a U.S. national and also has a legitimate SSN, and therefore Hopkins may assert Harper's tax credit.
In question 2, The answer is "No, because Amelia has ITIN" because the IRS problem is an ITIN issue whenever a person has been unable to claim their income tax credit his or she may be not qualified to SSN.
Plz help me find these functions!
Answer:
[tex]\sin \alpha = \frac{5}{13}[/tex], [tex]\cos \alpha = \frac{12}{13}[/tex], [tex]\tan \alpha = \frac{5}{12}[/tex], [tex]\cot \alpha = \frac{12}{5}[/tex], [tex]\sec \alpha = \frac{13}{12}[/tex], [tex]\csc \alpha = \frac{13}{5}[/tex]
Step-by-step explanation:
The angle [tex]\alpha[/tex] is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:
[tex]\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\sin \alpha = \frac{5}{13}[/tex]
[tex]\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\cos \alpha = \frac{12}{13}[/tex]
[tex]\tan \alpha = \frac{5}{12}[/tex]
[tex]\cot \alpha = \frac{12}{5}[/tex]
[tex]\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}[/tex]
[tex]\sec \alpha = \frac{13}{12}[/tex]
[tex]\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}[/tex]
[tex]\csc \alpha = \frac{13}{5}[/tex]
MLM BLM any one who says other why come fight me lol
Answer:
BLM &MLM yasss!!!!!!!!!!!!!1
Step-by-step explanation:
If a car travels 400m in 20seconds how fast is it going?
Donald bought a box of golf balls for $9.31. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Step-by-step explanation:
Cost of each golf ball = $9.31 / 18
≈ $9 / 18 = $0.5.
Answer: 0.5172222222222222
Step-by-step explanation: divide 18 by 9.31
Find the Surface Area of Rectangular Prism
Answer:
4 X 3 = 12 , 12 X 2 = 24
5 X 4 = 20, 20 X 2 = 40
3 X 5 = 15, 15 X 2 = 30
30 + 40 + 24 = 94 cm squared
Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?
Answer:
$400
Step-by-step explanation:
140 ÷ 35% = 400
The length of a rectangle is 2 cm more than
3 times its width. Its area is 85 cm?. Find the
dimensions of the rectangle.
Answer:
Width of rectangle = 5 cm
Length of rectangle = 17 cm
Step-by-step explanation:
Let the dimensions of rectangle:
Width of rectangle = x
Length of rectangle = 3x+2
Area of rectangle = 85 cm
We need to find dimensions of rectangle i.e length and width.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding dimensions
[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]
Now, finding value of x using quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a =3, b =2 and c=-85
[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]
So, we get x = 5 and x = -5.6
But since the width of rectangle cannot be negative so, we would consider x = 5
Now, the dimensions of rectangle will be:
Width of rectangle = x = 5 cm
Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm
A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP
Answer: a. The sales price $568.40
b.the price for the club members is $511.56
Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u
Need help asap please
Answer:
Option 3
Step-by-step explanation:
The number on the inside is the dividend and the number on the outside is the divisor. So we just have to place the dividend on the top and the divisor on the bottom.
Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (AAS) Option 1 Option 2 Not Congruent Hypotenuse Leg (HL)
Answer:
angle side angle
Step-by-step explanation:
Use equivalent ratios to find the unknown value.
2
The unknown value is
Answer:
Unknown number = 36
Step-by-step explanation:
Equivalent ratio means,
[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]
If [tex]x_1=2, y_1=9[/tex] and [tex]x_2=8[/tex],
[tex]\frac{2}{9}=\frac{8}{y_2}[/tex]
By cross multiplication,
2 × y₂ = 8 × 9
2y₂ = 72
[tex]\frac{2y_2}{2}=\frac{72}{2}[/tex]
y₂ = 36
Therefore, missing number in the denominator of the fraction will be 36.
A train travelled 300 kilometres in 5 hours. Find it's rate of speed
Answer:
The train traveled 60 kilometers per hour.
Step-by-step explanation:
300/5=60
Answer:
60 km/hours
Step-by-step explanation:
in the picture above.
What is the value of x in the equation 24−2x=16?
a 4
b 8
c 12
d 20
Answer:
x = 4
Step-by-step explanation:
2 x 4 = 8
24 - 8 = 16
Answer:
x=4
Step-by-step explanation:
the ratio of PHP 504.00to 14liters of gasoline
Answer:
36:1
Step-by-step explanation:
Divide 504 by 14 to get the ratio
ASAP
{(-6, 4), (5,-1), (0, 3), (-2,4)}
a. Domain=
b. Range =
c. Function=
Answer:
domain=-6,5,0,-2
range=4,-1,3,4
Step-by-step explanation:
u gotta ask function to someone else sry
Find the solution set to 3(2x - 4) > 2(x + 4)
Answer:
X>5
Step-by-step explanation:
So first distribut the numbers
6x-12>2x+8
now subtrct 2x on both sides
4x-12>8
Now add 12 on both sides
4x>20
x>5
Answer: > 5
Step-by-step explanation: I just know
Can anyone explain and give answer please?
Answer:
slope = - [tex]\frac{1}{19}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 19x + 57 ← is in slope- intercept form
with slope m = 19
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{19}[/tex] ← slope of line w
I NEED HELP ASAP I’ll give Brainliest ,THANK YOU
Which statement about y = x ^ 2 + 7x - 30 is true?
The two angles are
Congruent
Supplementary
Complementary
Because they are
Corresponding
Consecutive interior
Alternate exterior
Alternate interior
Help, I will brainliest u
Answer:
The two angles are alternate interior angles
Step-by-step explanation:
Here, we want to state the relationship between the two given angles
From the diagram, we can observe that these two angles are;
They are alternate interior angles
Sara has already saved $6. She earns $3 per hour. She needs a minimum of $94 to buy her new bike. What is the minimum number of hours she must work?
Answer:
30
Step-by-step explanation:
3 times 30 = 90 - 2(for the six she already had) so 30
i think
Francie lives 1_5 mile from the school. Jake lives 2_10 mile from the school. Do they live the same distance from the school? Explain.
Answer:
Yes
Step-by-step explanation:
So, we see that both Francie and Jake lives miles from the school. Hence, they both live the same distance from the school.
Help plsssssssss????
HEEELp PLEASEEEEEEE tank uuuuuuuuuu
Answer:
they both are because they are not symmetrical??
Step-by-step explanation:
9514 1404 393
Answer:
both figures are parallelograms
Step-by-step explanation:
The diagonals of a quadrilateral bisect each other if and only if that quadrilateral is a parallelogram. Hence, the left figure is a parallelogram.
The opposite angles of a quadrilateral are congruent if and only if that quadrilateral is a parallelogram. Hence the right figure is a parallelogram.
__
Additional comment
Proofs of these conditions can be offered, but these are the conclusions of the respective proofs. The bisected diagonals form pairs of triangles, provably congruent using SAS. (left figure) The angles total 360°, so any adjacent pair must total 180°, making opposite sides parallel. (right figure)
Y’all know what this is ?
Answer:
65
Step-by-step explanation:
8(5) + 25 = 65
We plugged in 5 for c since we know its value.
Answer:
65
Step-by-step explanation:
8x5=40 25+40=65
I hope this helps, and have a nice day!
Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution. x − 2y = 3 y = −2x + 6
Answer:
yes
Step-by-step explanation:
I used a calculator
Hello someone please help me
Answer:
C = {-5,2,5} answer
Step-by-step explanation:
ccccccc
BRIDGE Arturo is designing a bridge for science class using parallel supports for the top and bottom beam. Find m angle2 if m angle1=60^
Answer:
Believe it or not, it would be 60 degrees.
Step-by-step explanation:
Here, we are working with ALTERNATE INTERIOR ANGLES. Since we know the beam supports for the top and bottom are parallel, 1&2 will be the same angle measurement.
Here is a diagram of an example of alternate interior angles, where m1=m2.
Answer:
Step-by-step explanation: