Answer:
Speed is 12.8km/sec. Jupiter will travel 192km in 15 sec.
Step-by-step explanation:
[tex]\frac{8mi}{1sec} * \frac{1.6km}{1mi} = 12.8km/sec[/tex]
[tex]\frac{12.8km}{1sec} * 15sec = 192km[/tex]
Which algebraic expression has like terms?
9n7 - 2n+3-4112
7 + 3n-3-672
7n+4n-3m-6n?
612 -4n4+6n-5772
Answer:
the answer is 612 -4n4+6n-5772
The expression that has like terms is (C) 7n+4n-3m-6n.
What is an expression?An expression can be as simple as a single number or variable, or it can be more complex, involving multiple operations and variables.
For example, the expression "3x + 4" contains the variable x, along with the constant values 3 and 4, and the operations of multiplication and addition.
Like terms are terms that have the same variables raised to the same powers.
In the first expression, 9n^7 and -2n have different powers of n, so they are not like terms. The constant term, -4112, is also not like any other term.
In the second expression, 3n and -3 are like terms, as they are both constants with no variables.
In the third expression, 7n, 4n, and -6n are all like terms because they all have the same variable, n, raised to the first power.
In the fourth expression, -4n^4 and 6n have different powers of n, so they are not like terms. The constant term, 612-5772=-5160, is also not like any other term.
Therefore, the expression that has like terms is (C) 7n+4n-3m-6n.
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Jack wanted to make note cards by cutting pieces of paper in half. Before starting he got two more pieces to use. When he was done he had 24 half-pieces of paper. With how many pieces did he start? A) 11 B) 9 C) 8 D) 10
Answer:
D) 10
Step-by-step explanation:
We are told in the question:
Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.
Step 1
Divide the number of half pieces by 2 to get the number of whole pieces that was cut
= 24 half pieces/2
= 12 full pieces
Step 2
With how many pieces did he start?
We are told in the question that: Before starting he got two more pieces to use
Hence: The number of pieces he started is calculated as:
12 pieces - 2 pieces
= 10 pieces
Hence, he started with 10 pieces
6.4 divided by 208 What is the quotient for the equation above?
Answer:
0.030769
Step-by-step explanation:
Which statement describes the rate of change of the following function?
f(x) = -5x - 7
A.
The function has a varying rate of change when x < 7.
B.
The function has a varying rate of change when x < 5.
C.
The function has a constant rate of change, decreasing for all x at a rate of 7.
D.
The function has a constant rate of change, decreasing for all x at a rate of 5.
Given:
The function is
[tex]f(x)=-5x-7[/tex]
To find:
The rate of change of the given function.
Solution:
We have,
[tex]f(x)=-5x-7[/tex] ...(i)
It is a linear function because the degree or power of x in this function is 1.
Slope of a linear function is always constant.
The slope intercept form of a linear function is
[tex]f(x)=mx+b[/tex] ...(ii)
where, m is slope and b is y-intercept.
On comparing (i) and (ii), we get
[tex]m=-5[/tex]
It means, the function has a constant rate of change, decreasing for all x at a rate of 5.
Therefore, the correct option is D.
The temperature is 4 °C at 6 a.m. and rises 13 °C by midday.
What is the temperature at midday?
Answer:
17°C
Step-by-step explanation:
temperature rises by 13, so the temperature will be 4+13 = 17°C
The angle lies in Quadrant II.
sin0=3/4
What is cos 0?
Answer:
cosФ is [tex]-\frac{\sqrt{7}}{4}[/tex] ⇒ B
Step-by-step explanation:
Let us solve the question using one of the identities of trigonometry
∵ sin²Ф + cos²Ф = 1
∵ sinФ = [tex]\frac{3}{4}[/tex]
→ Substitute it in the rule above to find cos Ф
∴ ([tex]\frac{3}{4}[/tex])² + cosФ² = 1
∴ [tex]\frac{9}{16}[/tex] + cosФ² = 1
→ Subtract [tex]\frac{9}{16}[/tex] from both sides
∴ cos²Ф = [tex]\frac{7}{16}[/tex]
→ Take √ for both sides
∴ cosФ = ± [tex]\frac{\sqrt{7}}{4}[/tex]
∵ Angle Ф lies on the second quadrant
∴ cosФ is a negative value
∴ cosФ = [tex]-\frac{\sqrt{7}}{4}[/tex]
∴ cosФ is [tex]-\frac{\sqrt{7}}{4}[/tex]
HELPPPPPPPPPPPP PLSSSSSS
Answer:
(x, y) → (x + 8, y - 3)
Step-by-step explanation:
To find the rule of translation, we can find one point on both figures to calculate the change in the x-axis and y-axis.
Let's say we take the point D (0, -1).
(-1, 0) → (7, -3)
Change in x = 7-(-1)
= 7 + 1
= 8
Change in y = -3-0
= -3
Thus, the change is (x + 8, y - 3)
What is the area of the figure composed of a parallelogram, a square, anda rectangle?
10 in.
3.5 in.
4 in.
6 in.
12.5 in.
Enter the answer in the box.
___ square inches
Answer:
126 in^2.
Step-by-step explanation:
Area of parallelogram = 10 * 3.5 = 35.
Area of the square = 4*4 = 16.
Area of the rectangle = 6 * 12.5 = 75
Total area = 35 + 16 + 75
= 126 in^2.
A line passes through the origin and (4, 5). Which point is also on the line?
Answer:
I belive (8,10)
Step-by-step explanation:
8 is 4 twice
10 is 5 twice
help immediately please
Answer:
1
Step-by-step explanation:
you just divide 6/4 and it will equal one
please help me with this
Answer:
B
Step-by-step explanation:
A rectangle is 15 feet long and 9 feet wide. Find its area.
Step-by-step explanation:
Since area = length(width) = l(w)
We need to multiply 15 and 9.
15(9) = 135
Therefore, the area of the rectangle is 135 ft
Area of the rectangle is 135 feet square
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
Given,
Length of the rectangle = 15 feet
Width of the rectangle = 9 feet
Area of the rectangle = Length × Width
=15×9
=135 feet square
Hence, the area of the Rectangle is 135 feet square
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Which expression is equal to 567.083?
A
(5×100)+(6×10)+(7×1)+(8×100)+(3×1000)
B
(5×100)+(6×10)+(7×1)+(8×110)+(3×1100)
C
(5×100)+(6×10)+(7×1)+(8×1100)+(3×11000)
D
(5×100,000)+(6×10,000)+(7×1000)+(8×10)+(3×1)
Answer:
the answer is D
Step-by-step explanation:
u just have to add them all up
please answer quickly
geometry reflections translation: (x, y)->(x+2, y- 1)
H(-2, 4), 1(0,5), H3, 2)
Answer:
H'(0, 3); I'(2, 4); J'(5, 1)
Step-by-step explanation:
H'(-2+2,4-1)
H'(0, 3)
I'(0+2, 5-1)
I'(2, 4)
J'(3+2, 2-1)
J'(5, 1)
can u explain how to do this question..pls
Answer:
use this formula, you will get the answer
Step-by-step explanation:
√(x2-x1)²+(y2-y1)²
Answer:
RS ≈ 5.39
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = R(- 2, 6) and (x₂, y₂ ) = S(- 4, 1)
RS = [tex]\sqrt{(-4+2)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(- 2)^2+(-5)^2}[/tex]
= [tex]\sqrt{4+25}[/tex]
= [tex]\sqrt{29}[/tex]
≈ 5.39 ( to 2 dec. places )
Can somebody plz answer correctly on all 3 questions on #15 thanks a lot!!!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
A
116°
27°
.Y
37°
Z
A. AZ
B. ZY
C. AY
D. ZW
Answer:
B. ZY
Step-by-step explanation:
The longest side of any triangle will always correlate with the largest angle. Since m∠A = 116° and is biggest, the corresponding side ZY would be the largest side.
A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of x.
Answer:
114 degree
Step-by-step explanation:
In ∆TMZ, the measure of angle M is 6° more than twice the measure of angle T, and the measure of angle Z is 50° less than five times the measure of angle T.
Answer:
m<T = [tex]28^{o}[/tex], m<M = [tex]62^{o}[/tex] and m<Z = [tex]90^{o}[/tex]
Step-by-step explanation:
From the given ∆TMZ, let the measure angle T be represented by T.
So that,
m<M = 2T + 6°
m<Z = 5T - 50°
Sum of angles in a triangle = [tex]180^{o}[/tex]
T + (2T + 6°) + (5T - 50°) = [tex]180^{o}[/tex]
8T -[tex]44^{o}[/tex] = [tex]180^{o}[/tex]
8T = [tex]180^{o}[/tex] + [tex]44^{o}[/tex]
= [tex]224^{o}[/tex]
T = [tex]\frac{224^{o} }{8}[/tex]
= [tex]28^{o}[/tex]
Therefore,
i. m<T = [tex]28^{o}[/tex]
ii. m<M = 2T + 6°
= 2 x [tex]28^{o}[/tex] + 6°
= [tex]62^{o}[/tex]
m<M = [tex]62^{o}[/tex]
iii. m<Z = 5T - 50°
= 5 x [tex]28^{o}[/tex] - 50°
= [tex]140^{o}[/tex] - 50°
= [tex]90^{o}[/tex]
m<Z = [tex]90^{o}[/tex]
с
6 yd
8 yd
What is the length of the hypotenuse?
C =
yards
Answer:
10 yds
Step-by-step explanation:
Pythagorean Theorem is [tex]A^{2} +B^{2} =C^{2}[/tex]
So, [tex]6^{2} +8^{2} =C^{2}[/tex]
[tex]36+64=C^{2}[/tex]
[tex]100=C^{2}[/tex]
C=10
The graph of a non-invertible function passes through the points (−2,4), (0,2), and (3,−2).
How is the inverse of this function graphed?
9514 1404 393
Answer:
line y = x(4, -2), (2, 0), (-2, 3)Step-by-step explanation:
The graph of an inverse relation is the reflection of the graph of the relation over the line y = x. That interchanges the coordinates of the points of the function. (-2, 4) becomes (4, -2) when so reflected, for example.
Which are the intercepts of the equation y+2=4(x+1) ?
Answer:
x-intercept is ([tex]- \frac{1}{2}, 0[/tex]) and y-intercept is ([tex]0, 2[/tex])
Step-by-step explanation:
How do we find the y-intercept of a function?We solve the equation when x=0. Let's try that with [tex]y+2=4(x+1)[/tex]
First, let's simplify it so that it resembles [tex]y=mx+b[/tex] more noticeably
[tex]y = 4x + 4 - 2 \\y = 4x + 2[/tex]
Now let's plug in 0 for x to find the y-intercept:
[tex]y = 4\cdot 0 + 2\\y = 2[/tex]
How do we find the x-intercept of a function?We solve the equation when y=0. Let's try this from the simplified equation we got ([tex]y = 4x + 2[/tex])
[tex]0 = 4x + 2\\-2 = 4x\\\frac{-2}{4} = x\\x = - \frac{1}{2}[/tex]
We must remind ourselves that all y-intercepts have an x that is equal to 0 and that all x-intercepts have a y equal to 0.
That means that our x-intercept will be ([tex]- \frac{1}{2}, 0[/tex]) and our y-intercept will be ([tex]0, 2[/tex])
This corresponds to the 3rd option counting from the left.
Good luck!
select the correct answer consider these functions f(x)=3x-7 g(x)=X +1/x-1 what is the value of f(g(3))
Answer:
Me and my massive brain, among other massive things of mine, believe it to be -1
Step-by-step explanation:
The value of the function F(g(x) will be equal to (7 / 2).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given functions are:-
f(x)=3x-7 g(x)= x +(1/x-1)The function F(g(x) is written as :-
F(g(x) = 3 [ x + ( 1 / ( x-1 )) -7 ]
F(g(x) = 3 [ (3 + (1/2) - 7 ]
F(g(x) = 3 (7 / 2 ) -7
F(g(x) = ( 21/2) - 7
F(g(x) = ( 21-14 ) ( 2 )
F(g(x) = ( 7/2 )
Therefore the value of the function F(g(x) will be equal to (7 / 2).
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Four students simplified the expression.
410
45
Camilla added the exponents: 410 + 5 = 415
Bentley divided the exponents: 410 + 5 = 42
Mira multiplied the exponents: 410.5 = 450
Regan subtracted the exponents: 410 - 5 = 45
Which student correctly simplified the expression?
Answer:
camilaaaaaaaaaaaaaaa
Answer:
Regan subtracted the exponents: 410 − 5 = 45
Which is a better deal and why? And find the unit rate for both if you wanna help pls
Unit rate = cost / quantity
Lower unit rate is better deal.
3.50/10 = 0.35
2.40/6 = 0.40
The original 10 for 3.50 is the better deal.
Answer:
As we know that
Unit = Rate/Quantity
[tex] \tt \: \dfrac{3.50}{10} = 0.35[/tex]
[tex] \tt \dfrac{2.40}{6} = 0.40[/tex]
The original deal was better because it was cheap than new deal.
There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?
1/5 x 3/4 in simplest form
we need to multiply : 1/5*3/4 multiply 1 by 3 on the tops so we have 3/5*4 5*4=3/20
The [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].
Given that,
The one fraction is [tex]\frac{1}{5}[/tex].And, the other fraction is [tex]\frac{3}{4}[/tex].We need to multiply both the fractions and then write in the simplest form.Based on the above information, the calculation is as follows:
[tex]= \frac{1}{5} \times \frac{3}{4}\\\\= \frac{3}{20}[/tex]
Therefore we can conclude that the [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].
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please help, i have to solve for X
Answer:
x=2
Step-by-step explanation:
qt =tn
4x+6=5x+4
5x-4x=6-4
x=2
Examine the system of equations. y = 4x + 8, y = 4x – 1 Which statements best describe the two expressions? Check all that apply. They have different slopes. They have different y-intercepts. The substitution method results in the false statement, 8 = –1. The solution is (8, –1). There is no solution.
Answer:
The correct statements are as follows;
1. They have different y-intercepts
2. The substitution method results in false statement 8 = -1
3. There is no solution
Step-by-step explanation:
Here, we want to select the statement that best describes the equations
The equation for a straight line is generally;
y = mx + b
m is slope and b is the y-intercept
slope of both is same ; 4
So first assertion is wrong
they have different y-intercepts
First y-intercept is 8, second is -1
This is correct
The third statement is correct too
if we equated both y;
4x + 8 = 4x -1
We shall have 4x canceled out and left with 8 = -1
(8,-1) is not a solution
There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible
Answer:
B,C and E
Step-by-step explanation:
It is trust me
Which phrases could n + 10 represent? Check all that apply.
the sum of a number and ten
the difference between a number and ten
a number plus ten
the difference between ten and a number
ten more than a number
Answer:
The sum of a number and ten
A number plus ten
Ten more than a number
Step-by-step explanation:
edg
