Answer:
93
Step-by-step explanation:
This question is on Arithmetic sequence, and we can find the 16th term using the Arithmetic sequence formula below;
aₙ= a₁ + (n-1)d
Where n= nth term in that particular sequence.
n₁= first term in the particular sequence.
d= common sequence between the terms.
Given:
d=6
a₁ =3.
Using the formula above,
a₁₆= 3 + (16-1)6
= 3+(15)6
=3+90
=93
Hence, the the 16th term of the arithmetic sequence is 93
Lily drives 90 miles in 2 hours. If she drives at the same rate, how far does lily travel in each of the following time intervals: 1 hour, 1/2 hour, and 3 hours? Please solve in at least two different ways. You could make a bar model, double number line, ratio table, or graph
How far does she drive in 3 hours
Answer:
1 hour= 45 miles
1/2 hour=22.5 miles
3 hours= 135
Step-by-step explanation:
just work out one hour by halving 90 miles which is 45. Then work out the rest by halving again and multiplying by 3.
Answer:
1st way:
90/2=45
1 hour = 45 miles
45/2=22.5
0.5 hour = 22.5 miles
45+22.5=67.5
1.5 hour = 67.5 miles
67.5x2=135
3 hours = 135 miles
2nd way:
90 miles - 2 hours
1 hour - 60 minutes
60x2=120
90/120=0.75
1 minute - 0.75 miles
0.75x60=45
1 hour = 45 miles
60:2=30
60+30=90
0.75x90=67.5
1.5 hour = 67.5 miles
60x3=180
0.75x180=135
3 hours = 135 miles
Write the equation of a line that is perpendicular to the given line and that passes through the
given point.
y-2= 7/3 (x + 5);(-4,9)
Oy-9=-3/7(x-4)
Oy-9= 3/7(x-4)
Oy- 9= -3/7(x+4)
Oy- 9= -3/7(x+4)
Answer:
[tex]y-9=-\frac{3}{7} (x+4)[/tex]
Step-by-step explanation:
Slopes are negative reciprocals when two lines are perpendicular
[tex]m= - \frac {3}{7}[/tex]
Equation of straight line in point-slope form is given as
[tex]y-y_1=m(x-x_2)[/tex]
Here [tex](x_1, y_1)= (-4, 9)[/tex]
[tex]y-9=-\frac{3}{7} (x+4)[/tex]
The equation of line passes through the point (-4, 9) will be;
⇒ y - 9 = - 3/7x - 12/7
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (-4, 9).
And, The perpendicular line is,
⇒ y - 2 = 7/3 (x + 5)
Now,
Since, The equation of line passes through the point (- 4, 9).
So, We need to find the slope of the line.
Since, The product of the slope of perpendicular line is - 1.
Hence, Slope of the perpendicular line is,
⇒ y - 2 = 7/3 (x + 5)
m = dy/dx = 7/3
m = 7/3
Thus, The equation of line with slope - 3/7 is,
⇒ y - 9 = - 3/7 (x - (-4))
⇒ y - 9 = - 3/7 (x + 4)
⇒ y - 9 = - 3/7x - 12/7
⇒ y = - 3/7x + 9 - 12/7
⇒ y = - 3/7x + 51/7
Therefore, The equation of line passes through the point (-4, 9) will be;
⇒ y - 9 = - 3/7x - 12/7
Learn more about the equation of line visit:
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describe transformation y=(x+5)^2 -19
Answer:
y=x^2 +10x+6 should be the answer
Step-by-step explanation:
Solve 100 ÷ 5 × 4 + 43.
Answer:
123
Step-by-step explanation:
100 ÷ 5 × 4 + 43 = 123
Answer:
123
Step-by-step explanation:
Lets use the PEMDAS method.
100 ÷ 5 × 4 + 43
(20) × 4 + 43
(80) + 43
123
Hence, the answer is 123.
Answer please need answer brainliest i give you for right answer
Answer:
I belive It would be Quadant IV (d) if I did everything right sorry if I am not correct.
Please tell me if im not correct thank you.
can u answer these for me thank u. first 2 only
Line a: 3y - x= 6
Line b: 3y = x + 18
Line c: 3y - 2x = 9
Which of these lines are parallel
2 +2
Also whoever gives me the nicest complement gets brainiest
2+2 = 4 if you didnt know :)
Answer:
4
Step-by-step explanation:
we don't know each other but i love u and your amazing. keep being u and im so proud of u.
jeez i would like a mom-
please help me please will give brainliest
please show your work
Answer:
A
Step-by-step explanation:
Area of shape A: (3x² + 2)(7x² + 4x + 8) = 21x^4 + 12x³ + 38x² + 8x + 16
Area of shape B: (3x² + 2)(3x² + 2) = 9x^4 + 12x² + 4
Difference: 12x^4 + 12x³ + 26x² + 8x + 12
117
4
=
Pleaseeee help
Answer:
hold on what is the problem?
Step-by-step explanation:
also 113
Answer:
463 i think you didnt make it to specific
Step-by-step explanation:
The measure of one side of a square is (4x-15+y) inches long. Write an expression (in the simplest form) that represents the perimeter of this square.
Plz help
1. The product of 4, and a number decreased by 7, .is 100. Find the number
Answer:
32
Step-by-step explanation:
As per what is given
- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)
- equals 100, the equation formed equals 100
Form an equation;
4(x - 7) = 100
Solve using inverse operations;
4(x - 7) = 100
/4 /4
x - 7 = 25
+7 +7
x = 32
whats 45/13 in decimal form rounded to the nearest tenth
Answer:
45/13 in decimal form rounded to the nearest tenth:
[tex] \frac{45}{13} = 3.46 ≈\boxed{3.5}(approx) \\ [/tex]
Answer=3.5
Step by step: 45/13=3.5
Fine the total earnings based on the given information Base salary: $42,000 total sales : $175,000 commission :4%
Answer: $49,000
Step-by-step explanation:
Total earnings = Basic salary + commission
Commission = 175,000 * 4%
= $7,000
Total earnings = 42,000 + 7,000
= $49,000
The fee for a service call from a plumber can be modeled with the function C(h)= 75 + 20h, where C is the total cost of the service call and h is the number of hours the plumber spends working on the problem. (MAFS.912.F-IF.1.2) A. How much does the plumber charge per hour? 3. What is the value of C(3)? 1. What does this represent in terms of the problem?
Answer:
20 ; $135 ; service charge for 3 hours spent is $135
Step-by-step explanation:
Given that :
Service fee equation model :
C(h)= 75 + 20h
C = total cost of the service call
h = number of hours the plumber spends working on the problem
The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours
bx = 20h
b = 20
Charge per hour = 20
C(3) = 75 + 20(3)
75 + 60 = 135
This means that total service call charge for a plumber who spends three hours fixing a problem is $135
(20 POINTS!!!)
What is the measure of
A. 60°
B. 80°
C. 110°
D. 120°
Answer:
A. 60 degrees
Step-by-step explanation:
The sum of the abgles in a triangle is 180°. We are already given 96° and 24°.
so we will subtract the given values from 180 to find the third angle
180-(96+24)=180-120=60°
The answer is A. 60°
HELP ME ASAP
Convert the measurement.
4 quarts = ___ fluid ounces
Answer: 128
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
32 fluid ounces in 1 quart
4 x 32 =
128
The sum of 13 and twice n
Answer:
13 + 2n
Step-by-step explanation:
ILL GUVE BRAINIEST Isaac just finished eating an entire pizza. What type of potential energy did the pizza provide Isaac? *
Chemical energy.
Step-by-step explanation:
in food can be converted to another form of chemical energy when it is stored as glucose or fat. It can be converted to thermal energy because our body produces heat when digesting our food.
nine less than the product of two and a number p
Answer:
(2 · p) - 9
Step-by-step explanation:
p is unkown.
Expression: (2 · p) - 9
Find p in order to solve the expression.
PLEASE HELP 20 POINTS WILL GIVE BRAINLYEST
Answer:
D
Step-by-step explanation:
Is 2x + y2 = 5 a function?
Answer:
yes
Step-by-step explanation:
its a straight line and does not touch each other
What is the location of a point 3/4 the distances from -5 to 7?
A.-2
B.9
C.1
D.4
If a figure is dilated by a factor of 5/6, the area of the figure will change by a factor of ?
Answer:
5/6
Step-by-step explanation:
The ratio of red marbles to blue marbles in a jar is 2 to 5. If there are a total
of 56 marbles in the jar, how many are red?
8 red
40 red
16 red
7 red
Help pls and thank:)
Answer:
y=-3x+2
Step-by-step explanation:
Slope-intercept form is given by the equation y=mx+b, where m is defined as the slope and b is defined as the y-intercept (the value on the y-axis that the line crosses). First we can determine the slope by using the slope formula.
m=(y2-y1)/(x2-x1), given two points (x1, y1) and (x2, y2). Keep in mind you can choose which point is (x1,y1) and which is (x2,y2) as long as you are consistent.
Plugging in for (-1,5) and (1,-1), you will get:
m=(-1-5)/(1-(-1))=-6/2=-3
Next, we need to find the y-intercept. For this problem, you can determine it is 2 by looking at the graph of the line. We now have both components to create the slope-intercept form.
m=-3, b=2
y=-3x+2
What is the absolute value of -8?
Answer:
8
Step-by-step explanation:
The absolute value of any number is the value of the number when it's positive.
So...
I-8I = 8
and I8I = 8
Please hurry and I will give brainliest! What is the location of point D?
(6, 0)
(-6, 0)
(0, -6)
(0, 6)
Answer:
Step-by-step explanation:
A taxi company charges $2.50 plus $1.10 for each mile driven. How much money would you spend if you travel 8 miles
Answer:
$11.30
Explanation : 11.3= 1.10(8)+2.5
Rob runs at a constant pace on his treadmill.
In 3 hours, he runs 15 miles.
What is the unit rate for Rob's pace?
Answer:
B: 1 to 5
Step-by-step explanation:
3 hours is to 15 miles as 1 hour is to 5 miles (division by 3)