0= 2/3x-4
0=2x -12
-2x-12
×=6
A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the transmitter to a second city 58 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
Answer:
29% of the drive
Step-by-step explanation:
The plot of the problem is:
Transmitter at origin (0,0)
City to the north at (0,70)
City to the east at (74,0)
The path from city to city is a line with slope:
m = (-70)/74 = -35/37
and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.
The transmitter reach the area enclosed by the next circle:
x^2 + y^2 = 53^2
See the picture attached
The intersection is gotten from the picture or solving:
x^2 + [(-35/37)*x + 70]^2 = 53^2
the points approximately are: (24.1, 47.2) and (45.8, 26.7)
From Pythagorean theorem the total distance of the trip is:
d1 = √(70^2 + 74^2) ≈ 101.9 miles
And the distance when the signal is picked up is:
d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles
You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.
>
Find the next three values in the sequence,
-64,-32,-16,-8...
Answer:
-4, -2, -1
Hope that helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
geometric sequence with common ratio = 1/2
a₅ = a₄(1/2) = -4
a₆ = a₅(1/2) = -2
a₇ = a₆(1/2) = -1
Which model represents the factors of x2+9x+8
Answer:
(x+1)(x+8)
Step-by-step explanation:
Those are the factors of x^2+9x+8
can u pls help me with this question
A rectangular price tag has a perimeter of 28 centimeters. Its area is 40 square centimeters.
What are the dimensions of the price tag?
Answer:
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Step-by-step explanation:
bob is life
bob is food
bob is bob
Help asappp please !!!
Virginia had 3600 dollars in her saving account. She withdrew 2/5 of the money and donated 1/2 of this to the orphanage. How much money did she donate?
Answer:
$720
Step-by-step explanation:
what is distance between C(−5,−2) and D(0,−4)
Answer:
[tex]\displaystyle d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C(-5, -2)
Point D(0, -4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(0+5)^2+(-4+2)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(5)^2+(-2)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{29}[/tex]Are these triangles congruent?
no way i can do math like that
Help plz!!!!!!!! Which expression is equivalent to the expression below?
r³
hope this helps you
.
.
.
What is the solution to the equation?
Answer:
B
Step-by-step explanation:
98+g=150
98+g-98=150-98
g = 52
he sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be?
Answer:
3,2.5, and 0.5
Step-by-step explanation:
3 + 2.5 = 5.5 and if you need the answer to be 6 then add 0.5
what is the value of -6-(x+3)y when x=(-5) and y=2
Answer:
-2
Step-by-step explanation:
So, for this question all it is asking you to do is plug in the x and y values.
-6-(-5+3)y-6-(-5+3)2-2Answer: -2
Step-by-step explanation:
-5 + 3 = -2
-6 - -2 = -4
-4/2 = -2
match each set of values to its correct median
Answer:
purple = 6
orange = 4
blue = 2
red = 5
green = 3
Step-by-step explanation:
hope this helped
Answer:
Step-by-step explanation:
hope this helps
Find the 6th term 9 18 36
Answer:
I think the answer is 288.
Step-by-step explanation:
The rule seems to be multiplying the past number by 2. So, 9*2=18 and 18*2=36. If we continued that rule we would then get 72, 144, and the sixth term is then 288.
hope this helps :D
Answer:
Step-by-step explanation:
This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as
[tex]a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288[/tex]
IREADY MATH LEVEL G
HELP ASAP DUE AT 11:59!!
The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function C can be represented with this set of rules:
Question: How much will it cost with 20 people?
Answer:
:)
Step-by-step explanation:
It would cost $150 for a party of 9 people and it would cost $260 for 20 people
The circumference of a circle is approximately 3.14 times the length of its diameter. Which inequality can be used to find all possible diameter lengths, d, if the circumference of a circle is more than 50 cm?
Answer:
3.14d > 50 cm
Step-by-step explanation:
Given that the circumference of a circle is approximately 3.14 times the length of its diameter
If the circumference is C and the length of the diameter is d then
C = 3.14d
If the circumference of a circle is more than 50 cm then
3.14d > 50
The inequality can be used to find all possible diameter lengths, d,
d > 50/3.14
d > 15.92cm
Which of the following is an arithmetic sequence with common difference –5?
8, 3, –2, –7, . . .
B)
0, 5, 10, 15, . . .
C)
5, 25, 125, 625, . . .
D)
5, –25, 125, –625, . . .
Answer:
Option A i.e. 8, 3, -2, -7, ... is correct.
Step-by-step explanation:
Let us check the sequence given in option A
[tex]8, 3, -2, -7, . . .[/tex]
An arithmetic sequence has a constant difference '[tex]d[/tex]' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
determine the differences of all the adjacent terms of Arithmetic sequence
[tex]3-8=-5,\:\quad \:-2-3=-5,\:\quad \:-7-\left(-2\right)=-5[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=-5[/tex]
Therefore, we conclude that the arithmetic sequence 8, 3, -2, -7, ... has a common difference -5.
Hence, option A i.e. 8, 3, -2, -7, ... is correct.
Answer:
8, 3, –2, –7, . . .
Step-by-step explanation:
A complex number of the form z = a + bi has an absolute value of 4.00. What could the values of a and b be?
a = 1.6, b = 2.3
a = 1.6, b = 2.5
a = 1.9, b = 2.1
a = 2.1, b = 3.4
Answer:
According to the question z must be equal to 4. So value of a+b=z or a+b=4
Lets try each of the options
A) a+b
1.6+2.3=3.9 which is not equal to 4
So option a is not the asnwer.
B) a+b = 1.6+2.5= 4.1 which is not equal to 4
C) a+b= 1.9+2.1= 4.00 which is equal to 4
D) a+b= 2.1+3.4= 5.5 which is not eqaul to 4
Thus, we have OPTION C AS THE CORRECT ANSWER
Answer:
It's NOT C, it's D!
Step-by-step explanation:
Diego scored 9 points less then Andre in the basketball game.Noah scored twice as many points as Diego.if Noah scored 10 points , how many points did Andre score
Answer:
14 points.
Step-by-step explanation:
To solve this problem, let's make an equation.
Let x represent the unknown number, or the amount of points Andre scored.
We know that Noah scored 10 points.
Noah scored twice as many points as Diego, therefore Diego must've scored 5 points, because 5 * 2 = 10.
So, if Diego scored 9 points less than Andre, and we know that Diego scored 5 points, then the equation we are left with is
x - 9 = 5
To solve, just add 9 to both sides.
x - 9 + 9 = 5 + 9
We are left with:
x = 14
So, Andre scored 14 points.
I would appreciate brainliest, if not that's ok!
Answer:
Step-by-step explanation:
5 x 5
the ratio of boys to girls in the lunch room was 4 to 3. If there were 84 students in the cafeteria, how many were girls? -please answer!
"The product of a number and -7,
increased by 9, is at most 16."
help please i will give brainliest thanks so much please helppop
B divided by 8= 4
What is B.
Answer
The answer is 32
Step-by-step explanation:
32/8=4
Answer:
b = 32
Step-by-step explanation:
b/8 = 4
Multiply each side by 8
b/8 * 8 = 4*8
b = 32
A rectangular prism has a base that is 1.5 meters by 2 meters and the prsim is 4 meters high,What is the surface area
Answer:
34
Step-by-step explanation:
the equation is 2(lw+lh+wh)
2( 1.5 x 2 + 1.5 x 4 + 2 x 4)
Answer:
Step-by-step explanation:
surface area=2lb+2(l+b)h
=2×1.5×2+2(1.5+2)×4
=6+2×3.5×4
=6+28
=34 sq. m
whats -11 + x =19
i just dont know what we do can someone help me?
It takes 90 minutes to vacuum 30 vehicles. At this rate, how many minutes does it take to vacuum 7 vehicles?
Answer: 21.
Step-by-step explanation: If you do '90 x 7' you get 630. With this, you will want to divide 630 by 30. So to simplify this, '(90 x 7) ÷ 30 = 21'
how to do this? please help
can someone help me with this?!
Answer:
y=x+2.4
Step-by-step explanation:
Rearrange the equation so m is the independent variable. 7m + 2 = 7n − 5 , n =
Answer:
n=m+1
Step-by-step explanation:
7m+2=7n-5
add 5 to each side
7m+7=7n or 7n=7(m+1)
divide both sides by 7
n=m+1
Answer:
We have that 7m + 2 = 7n - 5
If we want to get n, you can use operations in both sides of the equation to make n the independent variable.
First, from 7m + 2 = 7n - 5, we can sum to both sides 5
7m + 2 + 5 = 7n - 5 + 5
7m + 7 = 7n
Now, we can devide both sides by 7:
(7m+7) /7 = 7n/7
7m/7 + 7/7 = n
m + 1 = n