Answer:
13
Step-by-step explanation:
The value halfway between them is their average: 27/2 = 13.5.
The smaller number is 13.
__
The larger number is 14.
33 points!! The line contains the point (4,-2) and is perpendicular to 4x+3y=-6 The equation of the line is:
Answer:
y = 3/4 x - 5
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.
4x + 3y = -6
Solve for y.
3y = -4x - 6
y = -4/3 x - 2
The slope of the original line is -4/3.
The slope of the perpendicular is 3/4.
Now we need to find the equation of line with slope 3/4 that contains point (4, -2).
y = mx + b
-2 = (3/4)(4) + b
-2 = 3 + b
-5 = b
b = -5
The equation is
y = 3/4 x - 5
Can you see ninths? How many lemon cookies will you eat if you eat 4/9 of the cookies?
Answer: well this really depends on how many cookies were there in the first place if there was 9 you would have eaten 4 if there was 18 you would have eaten 8.
Write the equation of the line that goes through the point
(7, 10) and is parallel to the line y = 2x + 5
Use point slope equation.
Since parallel, the slope is the same. Then jsut plug in the numbers to the formula (u can google this)
y - 10 = 2 (x - 7)
^^this is point slope form
for slope intercept:
y = 2x - 4
Answer:
[tex]y=2x-4[/tex]
Step-by-step explanation:
So we want to write an equation of a line that goes through the point (7,10) and is parallel the the line y=2x+5.
First, we can determine the slope of our new line. Parallel lines always have the same slope. In other words, the slope of our new line must also be 2.
Now, we can use the point-slope form to find our equation:
[tex]y-y_1=m(x-x_1)[/tex]
Let's let (7,10) be x₁ and y₁. Let's also substitute 2 for m. Thus:
[tex]y-10=2(x-7)[/tex]
Distribute:
[tex]y-10=2x-14[/tex]
Add 10 to both sides:
[tex]y=2x-4[/tex]
And we're done!
Marvin wages are
for moving 480 crates at a piecework rate of $1.50 per crate.
$720
O $150
None of these
$481.50
$320
Answer:
The answer to your question is 320
Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with given initial conditions. dx +9x = 161, where x(0) = 0 and (0) = 5
Answer:
X(s) = 2/[s³(s + 9)]
Step-by-step explanation:
Here is the complete question
Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with given initial conditions.
dx/dt + 9x = 16t² x(0) = 0 and dx(0)/dt = 5
Solution
dx/dt + 9x = 16t²
Taking the Laplace transform of the differential equation, we have
L{dx/dt + 9x} = L{16t²}
L{dx/dt} + L{9x} = L{16t²}
L{dx/dt} + 9L{x} = 16L{t²}
sL{x} - x(0) + 9L{x} = 16L{t²}
L{x} = X(s)
L{t²} = 2!/s³
Substituting X(s) and L{t²} into the equation above, we have
sX(s) - x(0) + 9X(s) = 2!/s³
Substituting x(0) = 0 into the equation above, we have
sX(s) - x(0) + 9X(s) = 2!/s³
sX(s) - 0 + 9X(s) = 2!/s³
sX(s) + 9X(s) = 2!/s³
Factorizing X(s), we have
(s + 9)X(s) = 2!/s³
X(s) = 2/[s³(s + 9)]
So X(s) in the Laplace domain is
X(s) = 2/[s³(s + 9)]
4. Consider the figure below.
(5x - 14) ft
(2x) - 5x2 - 12x + 14) ft
What is the total area, in square feet, of the figure
Answer:
(10x⁴ - 52x³ + 5x² + 246x - 196) ft²
Step-by-step explanation:
The figure can be divided into two rectangles: the small rectangle and the large rectangle.
Dimensions of the small rectangle:
Length (l) = (x) ft
Width (w) = (x² - 6) - (5x - 14) = x² - 6 - 5x + 14 = (x² - 5x + 8) ft
Area of small rectangle = l*w = (x)(x² - 5x + 8)
Area = x(x²) - x(5x) + x(8) (using distributive property)
Area of small rectangle = (x³ - 5x² + 8x) ft²
Dimensions of large rectangle:
Length (l) = (2x³ - 5x² - 12x + 14) ft
Width (w) = (5x - 14) ft
Area of large rectangle = l*w = (2x³ - 5x² - 12x + 14)(5x - 14)
2x³(5x - 14) - 5x²(5x - 14) - 12x(5x - 14) + 14(5x - 14) (distributive property)
10x⁴ - 28x³ - 25x³ + 70x² - 60x² + 168x + 70x - 196
Combine like terms
Area of large rectangle = (10x⁴ - 53x³ + 10x² + 238x - 196) ft²
Area of figure = area of small rectangle + area of large rectangle
= (x³ - 5x² + 8x) + (10x⁴ - 53x³ + 10x² + 238x - 196)
Open parentheses
= x³ - 5x² + 8x + 10x⁴ - 53x³ + 10x² + 238x - 196
Combine like terms and arrange in standard form (from the greatest degree to the least)
= 10x⁴ + x³ - 53x³ - 5x² + 10x² + 8x + 238x - 196
= 10x⁴ - 52x³ + 5x² + 246x - 196
Area of the figure = (10x⁴ - 52x³ + 5x² + 246x - 196) ft²
please help me with this
Answer:
the answer to your question is 7/4
If the expanded form is 2 x 2 x2 x 3 x 3 x 5 x 7 what is the exponential form
Answer:
2^3 * 3^2 * 5*7
Step-by-step explanation:
2 x 2 x2 x 3 x 3 x 5 x 7
We have 3 2's multiplied together
2^3
2 3's multiplied together
3^2
one 5 and one 7
2^3 * 3^2 * 5*7
A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre=43560 ft?? Use correct
significant figures when answering this question.
Answer:
The area of the pitch in an acre is 1.32 acreStep-by-step explanation:
This problem requires to test our understanding of unit conversion, and we are expected to present our answer in an acre
first, let us convert from the yard to feet
given that the dimension of the pitch is
120 yards by
53.333 yard
1 yard is 3 foot
120 yards will give x
cross multiply we have
x1= 120*3
x1= 360 feet
also the second dimension is
x2= 53.333*3
x2= 159.999
x2= 159.999 feet
the area of the pitch is
area= 159.999*360
area= 57599.64 ft^2
Note: an acre is a unit for land area (1 acre=43560 ft^2)
if 1 acre = 43560 ft^2
x acre = 57599.64 ft^2
cross multiply we have
x acre = 57599.64/43560
x acre = 1.32 acre
-5x^5+35x^4-30x^3 can someone help me pls
Answer:
if im correct -5^3
Step-by-step explanation:
Darren drives to school in rush hour traffic and averages 30 mph. He returns home in mid-afternoon when there is less traffic and averages 40 mph. What is the distance between his home and school if the total traveling time is 1 hr 45 min?
Answer:
Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.
The formula for distance problems is: distance = rate × time or d = r × t.
Things to watch out for:
Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.
Step-by-step explanation:
Complete this expression using the distributive property: 5(4 + 8) =
Explanation: The distributive property tells us when there's a number outside a set of parenthses, you can multiply it times each of the terms that are inside the set of parenthses and then add those products together.
So in this problem, we can multiply 5(4) + 5(8)
which simplifies to 20 + 40 which equals 60.
Answer:
5(4) + 5(8)
Step-by-step explanation:
Just trust me :D
how many hours does a owl monkey that lived 27 years get in its lifetime
Answer:236,520 hours
Step-by-step explanation:
You multiply the years(27) times the number of days in one year(365) which equals 9,855 and then you multiply that by the number of hours in a day(24) so it equals 236,520.
What's wrong with this problem. 2(n+3) = 2n +3
Answer:
The wrong is while using Distributive property we have to use on both sides here it is only done in one place
2(n+3)=2n+6
A nut mixture consists of almonds and cashews
Answer:
Mixed nuts are a snack food consisting of any mixture of mechanically or manually combined nuts. Peanuts, almonds, walnuts, Brazil nuts, cashews, hazelnuts. Mixed nuts may be salted, roasted, cooked, or blanched. I hope this helps you with your...nut problem .-_-.
Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located one-fifth of the way from Ship A to Ship B, find the location of the tug boat relative to the port.
Answer:
30.83 miles
Step-by-step explanation:
Distance of ship A from port is x
X²= 18²+30²
X²= 324+900
X²=1224
X=34.9857 miles
Bearing from port
Tan tita= 18/30
Tita = tan^-1 3/5
Tita= 31°
N 31° E
Distance of ship B from port is y
Y²= 27²+10²
Y²= 729+100
Y²= 829
Y=28.7924 miles
Bearing from port
Tan tita= 2.2
Tita= 69.7°
90-69.7= 20.3
N 20.3°W
Distance between the two ships is z
Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)
Z²= 2053+267.1
Z²= 2320.1
Z=48.18 miles
One fifth of 48.18
=9.63 miles
Distance of the boat is D
D/sin 60 = 34.9857/sin 100.7
D=30.83 miles
Solve for x. x/3≤−6 A. x≥−18 B. x≤−18 C. x≥−2 D. x≤−2
Answer:
Step-by-step explanation:
x/3 ≤ -6
x ≤ -18
answer is B
Answer:
B
Step-by-step explanation:
it is simple easy..first you have to through your 3 become times with -6,then you have your answer
How many meters are in 3.5 kilometers
Answer:
Hey there!
1000 meters are in one kilometer, so 3500 meters are in 3.5 kilometers.
Hope this helps :)
Answer:
3,500 meters
Step-by-step explanation:
So this is conversation rates. So how I like to remember conversion rates in the metric system is King Henry Doesn't Usually Drink Chocolate Milk.
K=Kilo, H=Hecto, D=Deca, U=Unit (meters, liter, grams), D=Deci, C=Centi, M=Milli.
SO between meters (which is the U) and kilometers (which is the K), there's 3 letters so kilometers is 1000 times greater than meters. SO 3.5*1000=3500.
Hope this helped
I need help I’m confuse
Answer:
5. y=-1 (the line of reflection)
6. 90 degrees CCW
7. move the figure 4 units right
8. Increase or multiply the figure by two...
Step-by-step explanation:
7.(add 4 to every x value) and 6 down (subtract 6 from every y-value)
8.J is 2 units up and one unit left of the origin so you'd multiply it by 2 so that it is 4 units up and 2 units left of the orgin. Repeat this for every point of the triangle
Find the solution set. |x| = -4 A. { } B. {-2, 2} C. {-4, 4} D. {-16, 16}
Answer:
A. { }
Step-by-step explanation:
Absolute value cannot be less than zero.
-4 < 0
There is no solution for x, ∈, R.
Hope this helps.
write the sentence as an equation
z is the same as a more than 252
Answer:
it depends on what ur multipling
Find ( f - g ) (x) f (x) = 2x^2 - 2 and g (x) = 4x + 1
Answer:
( f - g ) (x) f (x) = 2x^2 - 2
g (x) = 4x + 1
answers in pics
What is the slope of the line passing through the given points.
(-3,2), (6,-1)
Answer:
-1/3
Step-by-step explanation:
Since we are given two points, we can find the slope using
m = ( y2-y1)/(x2-x1)
= ( -1-2)/( 6- -3)
= ( -1-2) /( 6+3)
= -3/9
= -1/3
Answer:
Slope (m) = [tex]\frac{-1}{3}[/tex] = -0.33333333...
Step-by-step explanation:
Slope (m) = ΔY -1
ΔX 3
(m)= -1/3
If two acute angles are added together then the result is an obtuse angle.
True
False
what is the density of an object with 17 g and a volume of 3cm^3
Answer:
5.6666666666667 grams/cubic centimeters
Step-by-step explanation:
teps:
ρ = m / v
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
17 gram s / 3 cubic centimeter
= 5.6666666666667 grams/cubic centimeter
I believe this is correct unless you need to round it up
I hope I helped
Answer:
5.67g/cm³
Step-by-step explanation:
Density =mass ÷ volume
17÷3=5.67
You have $437 in a savings account. After a deposit, the balance is $1087. What was the amount of the deposit?
Find and simplify each of the following for fx = 6x -3. (A) f(x+ h) (B) f(x +h) - f(x) (C) f(x + h) - f(x)/h
Answer:
A
[tex]f(x+ h) = 6x + 6h -3[/tex]
B
[tex]f(x+ h) - f(x) = 6h[/tex]
C
[tex]\frac{f(x + h) - f(x)}{h} = 6[/tex]
Step-by-step explanation:
From the question the given equation is
[tex]f(x) = 6x -3[/tex]
Considering A
[tex]f(x+ h) = 6(x + h) -3[/tex]
=> [tex]f(x+ h) = 6x + 6h -3[/tex]
Considering B
[tex]f(x+ h) - f(x) = 6x +6h -3 - (6x-3)[/tex]
[tex]f(x+ h) - f(x) = 6h[/tex]
Considering C
[tex]\frac{f(x + h) - f(x)}{h} = \frac{6h}{h}[/tex]
[tex]\frac{f(x + h) - f(x)}{h} = 6[/tex]
You are the manager of a fast-food store. Part of your job is to report to the boss at the end of each day which special is selling best. Use your vast knowledge of descriptive statistics to write one paragraph letting the boss know what happened today. Here are the data. Do this exercise by hand. Be sure to include a copy of your work.SPECIAL NUMBER SOLD COSTHuge Burger 20 $2.95Baby Burger 18 $1.49Chicken Littles 25 $3.50Porker Burger 19 $2.95Yummy Burger 17 $1.99Coney Dog 20 $1.99Total Specials Sold 119
Answer:
A total of 119 Specials were sold today. Chicken Littles had the highest number sold, which represents about 21% (25/119 * 100) of the total sales and a cost of 24% of the total costs. This was followed by Huge Burger and Coney Dog which were sold 20 each or about 17% of the number sold. Poker Burger, Baby Burger, and Yummy trailed behind with total sales of 19, 18, and 17 respectively.
Step-by-step explanation:
a) Data and Calculations:
SPECIAL NUMBER SOLD Percentage COST Percentage
Huge Burger 20 17% $2.95 20%
Baby Burger 18 15% $1.49 10%
Chicken Littles 25 21% $3.50 24%
Porker Burger 19 16% $2.95 20%
Yummy Burger 17 14% $1.99 13%
Coney Dog 20 17% $1.99 13%
Total Specials Sold 119 100% $14.87 100%
Mylie went by the gas station to get 2.4 gallons of gas. She paid with a $10 bill and a $5 bill and received $4.68 as change. What was the cost for one gallon of gas before taxes? $4.30 $8.20 $10.32 $24.77
We don't know what tax percentage or amount is so we have to keep this part out.
Add to find how much she paid with.
10 + 5 = $15
Subtract to find how much she paid.
15 - 4.68 = $10.32
Divide to find the unit price.
10.32 / 2.4 = $4.30 per gallon
Best of Luck!
Helpppppppppppppppppppp pleaseeeeeeeeeeeeee
Answer:
ok
Step-by-step explanation:
what