Answer:
[tex](k+9)(k-9)[/tex]
Step-by-step explanation:
[tex]k^2-81[/tex]
[tex]k^2-9^2[/tex]
Apply the difference of squares formula: [tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
Thus, [tex]k^2-9^2=\left(k+9\right)\left(k-9\right)[/tex]
if it takes jessica 28.9 seconds to walk to the bus stop and there are 260 days she takes the bus to school a year. Then how many minutes a year does she spend walking to the buss stop? Round to the nearest minute
Answer:
Step-by-step explanation:
If there are 260 days and she takes 28.9 seconds to get to the bus stop, then that means 260 * 28.9 = 7514 seconds to get to the Stop. 7514 / 60 = number of minutes which is 125 rounded
A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *
Answer:
1020
Step-by-step explanation:
How many miles per hour is 1 mile per minute
Please solve need help!
Answer:
ST 45
Step-by-step explanation:
9x=4x+25
5x=25
x= 5
plug back in 9(5)
Note: Your teacher will grade your response to ensure you receive proper credit for your answer.
What is the difference between an irrational number and an integer?
In your explanation, be sure to include various keywords you learned in this unit.
the price of a share of stock for a company XYZ at the beginning of the week was $24.75. over the next 5 days, the share of the stock gained $2.50 on Monday lost $3.25 on Tuesday lost $0.75. on Wed, gained $1.25 on Thursday, and gained 4.75 on Friday
Answer:
$29.25
Step-by-step explanation:
The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let the integers loss is represented by negative integers whereas profit is represented by positive numbers.
Given, Beginning price = $24.75
Over the next 5 days,
On Monday, gain of $2.50 represented by; + $2.50.
On Tuesday, loss of $3.25 represented by; - $3.25 .
On Wednesday, loss of $0.75 represented by; - $0.75.
On Thursday, gain of $1.25 represented by ;+ $1.25.
On Friday, gain of $4.75 represented by; + $4.75.
The Price of the share of stock at the end of Friday would be;
= (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)
= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)
= $29.25
Hence, The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.
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Blake is working to find the slope given 2 points.
(-1,5) and (3, 13)
ent
She used this formula:
If you're given two points
(x1, Y.) and (x2,Y2)
Y2-Y.
m =
X2-X,
Replacing the values, she gets:
13-5
3-(-1),
What is the slope?
Answer:
-1/2
Step-by-step explanation:
The slope is
What is X? Show your work
Answer:
x=-3/7
Step-by-step explanation:
multiply both side by 21, move constant to the right and change its sign, collect the terms, divide both side by 7
what is 02.15cm in meters
Answer:3200
Step-by-step explanation:
Antonela is planning on painting her room. A gallon of paint covers 110 square feet.
If Antonela's room is 10 feet by 8 feet and has an 8 foot ceiling, how many gallons
would she need to buy?
NEED ASAP 100 POINTS!!!!!!!!!
Answer:
3) a. f(-4) = 2
b. f(0) = 0
c. f(3) = -1.5
d. f(-5) = 0
e. x = -4
f. x= 0
4) a. f(-1) = 1
b. f(3) = -1
c. 1
d. -5
5) f(6) = 2
f(2) = 4
f(0) = 7
f(5) = 1.5
x=4
Answer:
see below
answers as required.
3)
a. [tex]f[/tex](-4) = 2
b. [tex]f[/tex](0) = 0
c. [tex]f[/tex](3) = -1.5
d. [tex]f[/tex](-5) = 0
e. x = -4
f. x= 0
4)
a. [tex]f[/tex](-1) = 1
b. [tex]f[/tex](3) = -1
c. 1
d. -5
5)
[tex]f[/tex](6) = 2
[tex]f[/tex]f(2) = 4
[tex]f[/tex](0) = 7
(5) = 1.5
x=4
) consider the initial value problem y′−5y=15t+3et,y(0)=y0 y′−5y=15t+3et,y(0)=y0 (a) solve the initial value problem. (enter y0 for y0y0). y(t)y(t)= equation editorequation editor (b) determine the value of y0y0 that separates solutions that grow positively as t→[infinity]t→[infinity] from those that grow negatively.
Answer:
a)value attached below
b)Yo = [tex]\frac{-27}{20}[/tex]
Step-by-step explanation:
A) solving initial value problem
[tex]y' - 5y = 15t + 3e^t[/tex]
y(0) = yo
hence the solution of the initial value problem : y(t)
Y(t) =
Attached below is the detailed solution
B) Yo = [tex]\frac{-27}{20}[/tex] separates the solutions as
t →∞
this is because when y(t) < [tex]\frac{-27}{20} y(t) tends to inifiniy[/tex]
y(t) > [tex]\frac{-27}{20} y(t) tends to inifinity[/tex]
Sam and John are finding −3 − 14. Who is correct?
Sam John
-3 - 14 = -3 + 14 -3 - 14 = -3 + (-14)
=11 = -17
Describe how you got the answer PLZS
Answer:
-17
Step-by-step explanation:
ok well I can't really see Sam and John's answer but -3-14 is equal to -17
if you see that there's a negative in front of the first number and its also subtracting you have to make that subtract sign an addition sign then change the second number to a negative like this:
-3+-14 then you just add.
With Sam and John whichever one had -17 as their answer is correct
plz help I'm and dead confused
Domain: {-3, -1, 2, 4, 6}
Range: {-2, 1, 2, 4, 6}
===========================================
Explanation:
The domain is the set of possible x values of a relation or function. To form the domain, we just list out the x coordinates of each point
Point A is located at (-3, 4) so the x coordinate x = -3 is part of the domain
Point B is at (-1,1) meaning x = -1 is also part of the domain
And so on. Doing this for all five points leads to the list of x coordinates {-3,-1,2,4,6} which is the domain.
--------------------
The range is a similar story, but we look at the y coordinates now. Point A has y coordinate 4, so y = 4 is part of the range.
Point B has y coordinate y = 1, so that is also part of the range.
The range is {-2, 1, 2, 4, 6} representing all of the possible y values of this relation.
With any set, the order does not matter. Though convention is to list the items from smallest to largest.
Aliaa uses deductive reasoning to identify the number angles that fit inside a circle based on her knowledge that obtuse angles have measures greater than and that there are at the center of the circle. Aliaa wants to partition the circle in 3 congruent angles, what is the angle measurement that best fits Aliaa's circle partition?
Answer:
The best angle measurement that best fits Aliaa's circle partition is three angles of 120° each.
Step-by-step explanation:
The sum of angles at the center of the circle = The sum of angles at a point = 360°
Therefore, to partition the circle into three congruent angles, the measurement of each of the partition should be 360°/3 = 120°
The steps to partition a circle into three are;
1) Draw the diameter of the circle, to intersect the circumference of the circle at points A and B
2) Mark a point, C, at a distance of half the radius from the center of the circle, O, to the point, B, on the circumference, using a straight edge
3) Draw a perpendicular line to the diameter of the circle, through the point, C, to intersect the circle circumference at points D and E)
4) Draw radial lines from the circle center, O, to the points D and E
5) The segments OA, OB, and OE, are segment lines partitioning the segment into three congruent angles.
Ariana has atoy car collection. She keeps 14 of the toy cars on her wall, which is 35% of her entire collection. What is the total number of toy cars in Ariana's collection?
Answer:
40 cars
Step-by-step explanation:
The total percentage of Ariana's car collection should be = 100%
35% of the collection = 14
1 percent = 14/35
1 percent is therefore 0.4
To get the total number of cars in Ariana's collection, we multiply 100 by 0.4
= 100 x 0.4 = 40
Therefore the total number of cars in her collection is equal to 40 and this is the answer to the question.
Another way to solve this is by cross multiplication
35% = 14
100% = ?
When we cross multiply we have:
(100x14)/35
= 1400/35
= 40
Thank you!
Please Help 10 Points
Answer:
-2x^2-6x-15
Step-by-step explanation:
Which situation is best modeled with a division expression? the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6 the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4
Answer:
the cost per pint of 3 pints of blueberries if the total cost was $6
Step-by-step explanation:
This is the correct answer
I hope this helps you!
Answer:
C
Step-by-step explanation:
round -6(5-7s)=20 pls help
Answer:
Step-by-step explanation:
-6(5-7s) = 20
-30 + 35s = 20
Add 30 both sides
35s = 50
Divide by 35 both sides
S=1.4
Divide. 5892 ÷ 18 in fraction form.
Answer: 327 1/3
Hope this helps! :)
Answer:
5892 ÷ 18
327 1by 3in mixed fraction
write the domain and the range of the function as an inequality, using set notation, and using interval notation. also describe the end behavior of the function
the graph of the quadratic function f(x) = -x^2 is shown
When the domain of the function is continuous, a different approach may well be required, although even here we note that in practice, optimization problems are usually solved using a computer, so that in the final analysis the solutions are represented by strings of binary digits (bits).
Find the endpoint of segment CD if D(-3, 1/2) and the midpoint is (-1/2, 3).
Answer:
Step-by-step explanation:
(x - 3)/2 = -1/2
x - 3 = -1
x = 2
(y + 1/2)/2= 3
y + 0.5 = 6
y = 5.5
(2, 5.5) the other endpoint
A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed on the yellow side 29 times. what is the relative frequency of the chip landing with the yellow side facing up?
38%
42%
56%
58%
Answer:
58 %
Step-by-step explanation:
Select the correct answer
(0,b)
(-a, 0)
(0,0)
(a,0)
(0, -b)
What is the perimeter of the polygon in the diagram?
A. 2/(0-6)
B. 4(a+b)2
OC. 2(22+62)
OD. 4√22+6²
Answer:
b
Step-by-step explanation:
The perimeter of the polygon is 4√(a² + b²).
Option D is the correct answer.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We have,
The polygon is formed by joining the four-point:
(0, b), (-a, 0), (a, 0), and (0, -b)
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Now,
Using this formula, we can find the lengths of the sides of the polygon:
The distance between (0, b) and (-a, 0) is d1.
= √[(0 - (-a))² + (b - 0)²]
= √(a² + b²)
The distance between (-a, 0) and (0, -b) is d2.
= √[(0 - (-a))² + (-b - 0)²]
= √(a² + b²)
The distance between (0, -b) and (a, 0) is d3.
= √[(0 - a)^2 + (0 + b)^2]
= √(a² + b²)
The distance between (a, 0) and (0, b) is d4.
= √[(0 - a)²+ (b - 0)^2]
= √(a² + b²)
The perimeter of the polygon is:
P = d1 + d2 + d3 + d4
= 4√(a² + b²)
Thus,
The perimeter of the polygon is 4√(a² + b²).
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make f the subject of the formula c=[tex]\frac{5(f-32)}{9}[/tex]
Answer:
[tex]f=\frac{9c}{5}+32[/tex]
Step-by-step explanation:
[tex]c=\frac{5\left(f-32\right)}{9}[/tex]
Switch sides:
[tex]\frac{5\left(f-32\right)}{9}=c[/tex]
Multiply both sides by 9:
[tex]\frac{9\times5\left(f-32\right)}{9}=9c[/tex]
[tex]5\left(f-32\right)=9c[/tex]
Divide both sides by 5:
[tex]\frac{5\left(f-32\right)}{5}=\frac{9c}{5}[/tex]
[tex]f-32=\frac{9c}{5}[/tex]
Add 32 to both sides:
[tex]f-32+32=\frac{9c}{5}+32[/tex]
[tex]f=\frac{9c}{5}+32[/tex]
What is the product of (-a + 3)(a + 4)
Answer:
-a^2-a+12
Step-by-step explanation:
After multiplying and opening the brackets
we get
-a^2-4a+3a+12
=-a^2-a+12. ( simplifying)
hope it helps.....
Answer:
[tex] \boxed{\sf -a^2 - a + 12} [/tex]
Step-by-step explanation:
⇒(-a + 3)(a + 4)
⇒-a(a + 4) + 3(a + 4)
⇒(-a)(a) + (-a)(4) + (3)(a) + (3)(4)
⇒-a² - 4a + 3a + 12
⇒-a² - a + 12
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket. What is the greatest number of bricks Lynn can make? bricks How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks? pounds
Answer:
10
And 4
Step-by-step explanation:
Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f? m∠4 = 110° and m∠3 = 70° m∠1 = 110° and m∠2 = 110° m∠1 = 110° and m∠3 = 70° m∠2 = 110° and m∠3 = 110°
Answer:
its c
Step-by-step explanation:
Answer:
C. m∠1 = 110° and m∠3 = 70°
Step-by-step explanation:
as the other person said :)
To make lemonade , Kate uses 1 cup of lemon juice and 2 cups of sugar. If she makes a larger amount of lemonade with 10 cups of sugar, how many cups of lemon juice does she need?
Answer:
5 cups
Step-by-step explanation:
Answer:
1/2 : 1
2 : 4
3 : 6
Notice that every ratio consists of a number and double the number.
For 1/2 cup lemon juice, use 1 cup sugar.
The amount of sugar is twice the amount of lemon juice.
The ratio is 1:2
Since you are told the ratio is 1:r, that means r is 2.
The unit rate is 2 cups sugar per cup of lemon juice.
Step-by-step explanation:
When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it, is called the _____ median mean mode range
Answer:
Median
Step-by-step explanation:
Answer:
a
Step-by-step explanation: