Answer:
6 months
Step-by-step explanation:
120 +10x = 204 - 4x
10x + 4x = 204 - 120
14x = 84
x = 6
AB¯¯¯¯¯is a radius. CD←→is tangent to circle A at point B, where AB=7 and EC=18. What is BC?
Circle with center point A. Radius AB is drawn. Tangent line CD is drawn and intersects the circle at point B. Segment AC is drawn from the center point A through point E on the circle to point C on line CD. The lengths of segments are not provided.
BC =
Answer:
BC is 24 units
Step-by-step explanation:
Given that: AB = 7 units
EC = 18 units
From a sketch for the question, we have a triangle ABC. Such that:
AC = AE + EC
But,
AE = AB = 7 (radius of the circle)
So that,
AC = 7 + 18
= 25 units
Applying Pythagoras theorem to triangle ABC, we have:
[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]25^{2}[/tex] = [tex]7^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]/BC/^{2}[/tex] = 625 - 49
= 576
BC = [tex]\sqrt{576}[/tex]
= 24
Thus, BC is 24 units.
r+ 4f when r=-6 and f=-5
Answer:
-26.
Step-by-step explanation:
Substitute the numbers and letters like this
-6 + (-5 x 4)
Which would evaluate to -6 + -20
And since it's the same sign, you can make it -6 - 20.
That equals -26.
a) The temperature in the morning was - 12º.
How many degrees warmer is - 9°?
Answer:
-3
Step-by-step explanation:
Cameron has 54 balls. He wants to put the same number of balls into each 9 buckets. Witch multiplication equation shows a way to represent the number of balls that should go in the bucket. 1. 9 x _ = 54 2. 9 x 54 = _ 3. 54 x _ = 9 4 . 9 x 9 = _
I'll give brainliest to whoever answers this
Answer:
I think it's 15 but I'm not so sure
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,8), which equation should be use to find the y-intercept and what is the y-intercept of the line?
Answer:
y = 4x + 4
Step-by-step explanation:
Plug in your x and y coordinates
8 = 4(1) + b
8 = 4 + b get your constants together by subtracting 4 from both sides
4 = b
Hope this helps
subtract 3 from the cube of f
Answer:
F^3-3................
A sales associate at a computer electronics store
is given a choice of two different salary plans.
One plan pays a weekly salary of $180 with a
commission of $30 for every computer sold. The
other plan pays no salary but offers $75
commission on each computer sold. How many
computers must the sales associate sale to make
the same amount of money under both plans?
Answer:
the sales associate has to sell 4 computers to make the same amount of money under both plans
Step-by-step explanation:
y=money
x=computers sold
Plan 1: y=30x+180
Plan 2: y=75x
75x=30x+180
45x=180
x=4
answer all 4 problems please help
Answer:
1. m=2/7
2. there are 25 students in her class
3. x=16
4. each notebook cost $2
Step-by-step explanation:
twice a number plus 4 is 8
Answer:
2
Step-by-step explanation:
Answer:
2 x 2 = 4 + 4 = 8
the number is 2
3.1 × 10^-4 in standard form
Answer:
Its 0.00031
Step-by-step explanation:
You just move your decimal the number of exponent. In your case -4 so you would move it to the left because it's a negative and move it 4 spaces.
Hope this helps!
What is the mistake??
There is still an negative you have to change the subtraction sign to an addition sign ALONG with the negative number
Answer:
The mistake was converting the expresssion
Step-by-step explanation:
A drivers distance varies directly as the amount of time traveled. After 6 hours, a driver had traveled 390 miles. How far had the driver traveled after 4 hours?
The distance traveled after 4 hours is 260 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 = 9 is an equation.
We have,
Distance ∝ Time
Distance = K x Time
Now,
390 = 6K
K = 390/6
K = 65
Now,
Distance = 65 x 4
Distance = 260 miles
Thus,
After 4 hours the distance traveled is 260 miles.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
ANSWER AS SOON AS POSSIBLE!!
Joan goes to the store and spends $56.50 on 5 small coolers. What is the unit rate that Joan paid for the coolers?
Please explain your answer!
Answer:$11.3 per cooler
Step-by-step explanation:
Answer:
about 11.30
Step-by-step explanation:
If you divide 56.50 by the unit , you will end with the unit price , which is about 11.30 ish
For
the function pictured below. Fill in the following values.
a.Domain:
b. Range:
e increasing Interval:
d. Decreasing Interval:
e. Positive Interval(s]
f. Negative Interval (s:
g.Max:
h.min. i.Rate of Change (Slope) [2. 4]:
Answer:
1. (-∞, ∞), [-4, ∞), (2, ∞), (-∞, 2), (-∞, 0) ∪ (4, ∞), (0, 4), DNE, -4, 2
2. y = -|x -4| -2
Step-by-step explanation:
1.
a. the domain is the horizontal extent, (-∞, ∞)
b. the range is the vertical extent, [-4, ∞)
c. the function is increasing where it goes up to the right, (2, ∞)
d. the function is decreasing where it goes down to the right, (-∞, 2)
e. the function is positive where it is above the x-axis, (-∞, 0) ∪ (4, ∞)
f. the function is negative where it is below the x-axis, (0, 4)
g. the function extends to ∞, so has no maximum value
h. the vertex is the low point, or minimum value, -4
i. the function increases from -4 to 0 on the interval [2, 4] so has an average rate of change of (0 -(-4))/(4 -2) = 4/2 = 2
__
2. Reflection across the x-axis negates every y-value. Multiply the given function by -1:
y = -|x-4| -2
Maria and jamal each have gardens. The area of Maria's garden is represented by the expression 8x^2 - 3x. Jamal's garden is a rectangular plot with the width and length represented by the expressions 3x and 4x-2. Which expressions give how much bigger or smaller Jamal's garden is compared to Jessica's? Check all that apply. 4x^2-9x -4x^2+3x 4x^2-3x 12x^2-6x-8x^2-3x 12x^2-6x-8x^2+3x
Answer:
4x^2 - 2x
Step-by-step explanation:
Area of Maria's garden = 8x^2 - 4x
Jamal's garden
Width = 3x
Length = 4x - 2
Area of Jamal's garden = length × width
= (4x - 2) (3x)
= 12x^2 - 6x
Difference in area of Jamal's garden and Maria's garden
Jamal's garden - Maria's garden
(12x^2 - 6x) - (8x^2 - 4x)
12x^2 - 6x - 8x^2 + 4x
4x^2 - 2x
The difference is the areas of their garden is 4x^2 - 2x
Help me answer these questions please
Answer:
I need points im so sorry
Step-by-step explanation:
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Which statement is true about milliliters and liters?
There are 30 milliliters in 3 liters.
There are 300 milliliters in 3 liters.
There are 3,000 milliliters in 3 liters.
There are 3,000 liters in 3 milliliters.
Answer: Choice C) There are 3000 milliliters in 3 liters
mL is the abbreviation for milliliters
L is the abbreviation for liters
Since 1000 mL = 1 L, we can multiply both sides by 3 to get 3000 mL = 3 L
Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of money he plans on saving every month is $340. To model the situation, he created this equation, where x represents the number of months and y represents the total amount of savings: y = 250 + 340x. Determine the missing steps and justifications.
Answer:
Steps have justified that;
y = $250 + $340x
Step-by-step explanation:
We are told Lewis is saving for a down payment of $8,750 on a house.
Now, the initial amount of money he has saved is $250, while the amount of money he plans on saving every month is $340.
Thus, if x represents the number of months and y represents the total amount of savings. It means that;
For x number of months, he saves; $340x
Now, the initial amount he saved is $250.
This means that the total amount he would have saved after x number of months is;
Total amount saved = Initial savings + Amount saved monthly after x number of months.
Now, total amount saved is denoted as y as given in the question, then we have;
y = $250 + $340x
Answer:
subtraction
y-250=340x
division
y-340=250x
Step-by-step explanation:
Write 9,150,000 in scientific notation
Answer:
9.15x10^6
Step-by-step explanation:
Step-by-step explanation:
9, 150, 000 = 9.15*10^6
At 2:00 AM in Alaska, the temperature was -1°F. The temperature dropped 3 degrees each hour after that. What
was the temperature 3 hours later?
A -8°F
B
-23 F
C -4°F
D-124 F
Answer:
-10* F
Step-by-step explanation:
What confuses me is that the answers you have provided aren't correct, when I made a number line starting at 0 and ending at -23* F and I had counted three degrees for each hour I got -10* F.
2am 3am 4am 5am
0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23
2am is at -1* F, 3am is at -4* F, 4am is at -7* F, and 5am is at -10* F.
This is over the course of three hours after 2am so unless I got this wrong you might want to ask your teacher.
Answer: -10 degrees
None of those 4 choices are correct
A rectangular parcel of land has an area of 8,000 ft2. a diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. what are the dimensions of the land, correct to the nearest foot? ft (smaller value) by ft (larger value)
Answer:
Step-by-step explanation:
Let the area of the rectangle be Length × width
LW = 8000
If the diagonal is 10feer greater than one of its length then:
D = 10+L
Diagonal is represented using the Pythagoras theorem as shown:
D² = L²+W²
(10+L)²= L²+W²
100+20L +L² = L²+W²
From LW = 8000
W = 8000/L
100 + 20L = (8000/L)²
100 +20L = 64,000,000/L²
Cross multiply
100L² + 20L³ = 64,000,000
2L³+10L² = 6,400,000
L³+5L² = 3200000
L³+5L² -3200000 = 0
Answer:
55 ft by 146 ft
Step-by-step explanation:
Given the following :
Area of rectangle = 8000 ft^2
Area of rectangle = length(L) * width(W)
Let length of a side = x
Length of side 2 = 8000 / x
Diagonal = 10 feet longer than one side = (x + 10)
The diagonal is the hypotenus = (x + 10)²:
Hyp² = (8000/x)² + x²
(x + 10)² = (8000/x)² + x²
x² + 20x + 100 = 64,000,000 / x² + x²
20x + 100 = 64,000,000 / x²
(20x + 100) * x² = 64,000,000
20x³ + 100x² - 64,000,000 = 0
x³ + 5x² - 3200000 = 0
Using calculator
x = 145. 71 = 146 ft
8000 / x
8000/145.71
= 54.9 ft
= 55ft
55ft by 146 ft
V= Bh/3 solve for h.
Answer:
h=3v/b
Step-by-step explanation:
Write in index form using powers of 10
1
Answer:
In standard index form a number is written firstly with a sign (if negative) followed ... by a power1 of 10. Powers of 10. Non-negative powers of 10. 100. 1. 101. 10.
Step-by-step explanation:i hope it helps
I need help?? Not sure what I'm supposed to do here-
1. Jebrel borrowed $7000 from his friend. He saves $110 each month to pay
him back
a. How much will he have paid off at the beginning of the 1st, 2nd, 3rd, 4th and 5th
months? (Should this chart start with zero or 1)
b. Make a graph to represent the pattern from part a.
Answer 63
Step-by-step explanation:
it will take around 63 months
Answer:
1. 6890
2. 6790
3. 6670
4. 6560
5. 6450
Step-by-step explanation:
why is x=f(y) the inverse of f(x)?
Answer:
in finding the inverse of an equation, you just switch x and y, so f(x)=y becomes f(y)=x
This is the equation for the distance from the oven to the point (x,y). True or false
Answer:
true
Step-by-step explanation:
Which two integers is 115 between?
Answer:
115 is between 114 and 116 because they are the integers that are directly bigger than 115 and smaller than 115.
(Random question again)
(Logical Reasoning)
Which number should come next in the series, 48, 24, 12, ......?
a) 8
b) 6
c) 4
d) 2
Answer it if you can