A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12 minutes 30 seconds , giving your answer in metres
Step-by-step explanation:
S=vt
v=55kmh^-¹
55×1000
=_______ms^-¹
60×60
=15.2778ms^-¹
t=12 min 30s
=12×60+30
=750s
so, s(distance)=750×15.2778 m =11458.35 m
Write an equation in slope-intercept form for the line with slope 2 and y-intercept 5. Then graph the line.
Answer:
y = 2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)Given: a line with a slope of 2, and y-intercept of 5
Equation: y = 2x + 5
y-intercept: (0, 5)Randomly select y-values that will help you graph the equation:
when y = -9:
-9 = 2x + 5 [subtract 5 from both sides]
-9 - 5 = 2x
-14 = 2x [divide both sides by 2]
-14 ÷ 2 = 2x ÷ 2
-7 = x
coordinate: (-7, -9)
when y = -5:
-5 = 2x + 5 [subtract 5 from both sides]
-5 - 5 = 2x
-10 = 2x [divide both sides by 2]
-10 ÷ 2 = 2x ÷ 2
-5 = x
coordinate: (-5, -5)
when y = -1:
-1 = 2x + 5 [subtract 5 from both sides]
-1 - 5 = 2x
-6 = 2x [divide both sides by 2]
-6 ÷ 2 = 2x ÷ 2
-3 = x
coordinate: (-3, -1)
when y = 3:
3 = 2x + 5 [subtract 5 from both sides]
3 - 5 = 2x
-2 = 2x [divide both sides by 2]
-2 ÷ 2 = 2x ÷ 2
-1 = x
coordinate: (-1, 3)
With these coordinates, graph them on a coordinate plane and draw a straight line through them. That should be the graph of the equation.
Given that f(x)=x^2-3x-10f(x)=x 2 −3x−10 and g(x)=x-5g(x)=x−5, find (f-g)(x)(f−g)(x) and express the result in standard form.
Answer:
3(7)=21-8{90}6-8/7'
Step-by-step explanation:
Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)
Answer:
1.
[tex]y=\frac{1}{4}x+2[/tex]
m= [tex]\frac{1}{4}[/tex]
b= 2
2.
[tex]y=-\frac{1}{3}x+1[/tex]
m= [tex]-\frac{1}{3}[/tex]
b= 1
3.
[tex]y=3x+4[/tex]
m= 3
b=4
Step-by-step explanation:
1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.
The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that [tex]y=\frac{1}{4}x+2[/tex]
2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.
The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that [tex]y=-\frac{1}{3}x+1[/tex]
3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.
The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that [tex]y=3x+4[/tex]
Combine like terms to create an equivalent expression.
-2.5 (4x - 3)
Answer:
-10x+7.5
Step-by-step explanation:
Sorry if wrong!
200x( ? -200)=200
(100+?) •\• 100 =10
Answer:
200×(201-200)=200
(100+900)÷100=10
This is if there are different values for "?"
What is the value of y in the equation 3(3y - 9) = 0?
a - 1
b - 3
c - 4
Step-by-step explanation:
Use the Distributive Property in order to solve.
Distributive Example:[tex]a(b+c)=ab+ac[/tex]
Using the property into the equation:
[tex]3(3y-9)=3(3y)-3(9)=9y-27[/tex]
[tex]9y-27=0[/tex]
Add 27 to both sides:
[tex]9y=27[/tex]
Divide each side by 9:
[tex]y=3[/tex]
b is correct.
The hypotenuse of a right triangle measures 11 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
5.5 cm
Step-by-step explanation:
Recall the Pythagorean Theorem which states that [tex]a^2+b^2=c^2[/tex] for a right triangle with side lengths [tex]a[/tex] and [tex]b[/tex], with a hypotenuse of [tex]c[/tex]:
[tex]a^2+b^2=c^2\\\\9^2+b^2=11^2\\\\81+b^2=121\\\\b^2=30\\\\b=\sqrt{30}\\\\b\approx5.5[/tex]
Therefore, the measure of the other leg is about 5.5 cm
which shows the products ordered from least to greatest
Answer:
101/102 x 564, 57/57 x 564, 29/27 x 564
Step-by-step explanation:
101/102 is less than 1, 57/57 is equal to 1, and 29/27 is slightly greater than 1.
Hope this helps :)
Answer:
the last one that
Step-by-step explanation:
A box of 15 cloud markers cost $12. 70. A box of 42 cloud markers cost $31. 60. How much would a box of 50 cloud markers cost? Write an equation that shows the price, p, for n markers in ab ox. Assume there is no tax, and that the price of a packaging is the same for any size box.
What times what gives you 15 but when added gives you 8?
Answer: 5 x 3 = 15 because 5 + 3 = 8
Step-by-step explanation:
Answer:
5 and 3
Step-by-step explanation:
5 x 3 = 15
but,
5 + 3 = 8 :)
If PQ is reflected across the x-axis, what will be the
coordinates of P'Q'?
OA) P (4, 4) and Q'(1, 2)
OB) P(-4,-4) and Q'(-1, -2)
OC) P (4, -4) and Q'(1, -2)
OD) P(-4,0) and Q'(-1, -2)
Will mark brainliest
Answer:
B) P' (-4, -4) and Q' (-1, -2)
Step-by-step explanation:
From inspection of the graph:
P = (-4, 4)
Q = (-1 ,2)
If the line PQ is reflected across the x-axis, then the x-coordinates of the points do not change, and the y-coordinates of the points become negative.
Therefore,
P' = (-4, -4)
Q' = (-1, -2)
Reflected over x axis so x co-ordinates remains constant.
The line is present in Quadrant 2 so it will be shifted to quadrant 3.
y co-ordinates will be negative.(In Q3 y<0)So the rule is (x,-y)
The co-ordinates are
P(-4,-4)Q(-1,-2)What is the probability of any odd number that is divisible by 5 and less than 50? I’ll mark brainliest!!’
Answer:
1/10 or 10%
Step-by-step explanation:
5, 15, 25, 35, 45
There are 5 numbers possible
5/50
1/10
Answer:
1/10 or 10%
Step-by-step explanation:
Odd numbers are the numbers that cannot be divided by 2 evenly.
It cannot be divided into two separate integers evenly. If we divide an odd number by 2, then it will leave a remainder.
So then, the answer is 1/10 or 10%
Brainliest?!
A school improvement committee is raising money for new computer equipment by selling T-shirts and hats with the school mascot printed on them. The school earns $18 for each T-shirt sold and $7 for each hat
Answer:
What is the question?
Step-by-step explanation:
Find the unit rate.
20 pages in 4 days = Pages per day
a) 4
b) 5
c) 2
d) 7
Answer:
5
Step-by-step explanation:
20 divided by 4 easy
Answer:
b) 5
Step-by-step explanation:
20 ÷ 4 = 5
5 pages per day
Find the 15th term of the geometric sequence 2, -8, 32, ...
Answer:
536870912
Step-by-step explanation:
the pattern is multiplying by -4
2 * -4 = -8
-8 * -4 = 32
-128, 512, -2048, 8192, -32768, 131072, -524288, 2097152, -8388608, 33554432, -134217728, 536870912
Answer:
[tex]a_{15}=536870912[/tex]
Step-by-step explanation:
Here, the common ratio is [tex]r=-4[/tex] since each consecutive term is being multiplied by -4, and [tex]a_1=2[/tex] since that is the first term:
[tex]a_n=a_1(r)^{n-1}\\\\a_{15}=2(-4)^{15-1}\\\\a_{15}=2(-4)^{14}\\\\a_{15}=2(268435456)\\\\a_{15}=536870912[/tex]
What is the volume of a hemisphere with a diameter of 8.9 cm,
Answer:
The volume of the hemisphere is 1,475.73cm^3.
Step-by-step explanation:
Refer to:
https://brainly.com/question/23826439
184.6cm³ up you are rounding to the nearest tenth 184.56cm³ if you are rounding to the nearest hundredth
It's a hemisphere instead of a sphere so the formula is 2/3×π×r³ which gives us the equation of 2/3×π×4.45³ snd the reason we use 4.45 is because the diameter is 8.9 so we have to divide that by 2 to get the radius which is 4.45
hello can somone help me pls
Answer:
Line segment CDLine segment BCI hope this is the answer
What is 60% of 81?
24.3
32.4
48.6
56.7
Answer:
48.6
Step-by-step explanation:
60% = 60/100 = 0.6
So 60% of 81 = 0.6 x 81 = 48.6
A parabola opens to the left. Which could be the equation of the parabola? (x – 4)2 = 4(y 3) (x – 4)2 = –4(y 3) (y – 4)2 = 4(x 3) (y – 4)2 = –4(x 3).
The equation of a leftward parabola is [tex]\rm (y - 4)^2 = -4(x+ 3)[/tex]. Then the correct option is D.
What is the parabola?It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called the focus, and the non-movable line is called the directrix.
The parabola is open to the left.
We know that the equation of the parabola will be in square form.
a. [tex]\rm (x - 4)^2 = 4(y +3)[/tex]
This is an equation of an upward parabola.
b. [tex]\rm (x - 4)^2 = -4(y+ 3)[/tex]
This is an equation of a downward parabola.
c. [tex]\rm (y - 4)^2 = 4(x+ 3)[/tex]
This is an equation of a rightward parabola.
d. [tex]\rm (y - 4)^2 = -4(x+ 3)[/tex]
This is an equation of a leftward parabola.
Thus, the correct option is D.
More about the parabola link is given below.
https://brainly.com/question/8495268
How much warmer is 82 then -40
Answer:
122
Step-by-step explanation:
We are finding the difference, so our equation will be
[tex]82 - (-40)[/tex]
Subtracting by a negative is basically the same as adding. (- & - = +)
[tex]82 - (-40) =82 + 40[/tex]
Now add 82 + 40
[tex]82[/tex]
+ [tex]40[/tex]__
122
Hope this helps! If you have notes try writing out the steps for how to solve. :))
A rectangles perimeter is 124 ft. its length is 2 ft shorter than THREE TIMES its width. use an equation to find the rectangles length and width
Its width is___
its length is____
Answer:
Length will be 46 ft and width will be 16 ft
Explanation:
Let the width be x.
then the length will be 3x - 2
using the rectangle perimeter formula:
2( length + width )
2(x + 3x-2) = 124
2(4x-2) = 124
8x - 4 = 124
8x = 128
x = 16 ft
Width will be 16 ft and
Length: 3x - 2
: 3(16)-2
: 46 ft
ATQ
[tex]\\ \tt\hookrightarrow 2(n+3n-2)=124[/tex]
[tex]\\ \tt\hookrightarrow 2(4n-2)=124[/tex]
[tex]\\ \tt\hookrightarrow 4n-2=62[/tex]
[tex]\\ \tt\hookrightarrow 4n=64[/tex]
[tex]\\ \tt\hookrightarrow n=16[/tex]
Width=16Length=46 .help i need sb good in math!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
104 m²
Step-by-step explanation:
Area of the quadrilateral
= width × length
= 10 m × 8 m
= 80 m²
Area of the triangle
= ½ × base × height
= ½ × 8 m × 6 m
= 24 m²
Total area of the shape
= Area of the quadrilateral + Area of the triangle
= 80 m² + 24 m²
= 104 m²
A frequency distribution plotted on a curve can be both symmetrical or skewed. A curve skewed to the right is also referred to as ____.
If the wages are
And the number of withholding allowances claimed is
At least
But less than
0
1
2
3
4
5
6
7
8
9
10+
The amount of income tax withheld is
720
740
80
62
44
26
14
1
0
0
0
0
0
740
760
83
65
47
28
16
3
0
0
0
0
0
760
780
86
68
50
31
18
5
0
0
0
0
0
780
800
89
71
53
34
20
7
0
0
0
0
0
800
820
92
74
56
37
22
0
0
0
0
0
0
820
840
95
77
59
40
24
11
0
0
0
0
0
840
860
98
80
62
43
26
13
1
0
0
0
0
The following table shows the federal income tax for a single person for a biweekly payroll period withheld in 2005.Find the amount of taxes withheld for a single person with 2 withholding allowances claimed making $799 per payroll period.
a.
$47
c.
$53
b.
$50
d.
$56
Please select the best answer from the choices provided
Based on IRS regulations, the taxes withheld for a single person with 2 withholding allowances making $799 per period is C. $53.
IRS regulations in 2005 stated that when a person who is making at least $780 per payroll period, but not more than $800, and had 2 withholding allowances, they would have taxes withheld of $53.
The single person in this scenario is making $799 which falls into the above bracket so they will have taxes withheld of $53.
In conclusion, option C is correct.
Find out more on withholding taxes at https://brainly.com/question/24152652.
It takes an ant farm 3 days to consume of an apple. At that rate, in how many days will the ant farm consume 3 apples?
I really need help. Only do number 8. please someone.
Answer:
I think Problem Number 8 equals 1 the Y axis is the only one with the Ysd that has 1 in it
Step-by-step explanation:
1.2x
2.2
3.x
Tell me if its wrong I can fix it fast <3
have a good day<3
Trapezoids A and B are similar. Find the values of x and y.
Step-by-step explanation:
when 2 shapes are similar, it means that all their angles are the same compared with each other.
and all distances (incl. side lengths) if one shape correlate to the corresponding distances in the other shadow by the same ratio or factor.
we have one side (30 m in A and 50 m in B), where we have both measures.
we see that the ratio to "go" from A to B is 30/50 = 3/5.
that means a distance in A is the same distance in B multiplied by 3/5.
and that factor is the same also for every other side.
therefore,
x = 15 m × 3/5 = 3 m × 3 = 9 m
y × 3/5 = 18 m
3y = 90 m
y = 30 m
probability
pls help
What is the area of this triangle
480
525
675
960
Answer:
it 480
Step-by-step explanation:
if your k 12 this is right
Answer:
The Answer is A. 480, I picked 525 and got it wrong because I was doubting that it wasnt 480 but it was. well good luck