Answer:
a • b = 24Step-by-step explanation:
[tex]<a,\ b>\circ<c,\ d>=ac+bd\\\\a=<2,\ 4>,\ b=<2,\ 5>\\\\a\circ b=<2,\ 4>\circ<2,\ 5>=(2)(2)+(4)(5)=4+20=24[/tex]
Write an equation to describe the relationship in this table.
Answer:
y = x+5
Step-by-step explanation:
you cant times it by anything but 1 so x then how much does it go up by 5 so y= x+5
Answer:
1 , 5
Step-by-step explanation:
What is a simpler form of the expression?
(2n^2 + 5n +3)(4n - 5)
Answer:
8n³ + 10n² - 13n - 15
Step-by-step explanation:
Distribute the factors by multiplying each term in the first factor by each term in the second factor, that is
4n(2n² + 5n + 3) - 5(2n² + 5n + 3) ← distribute both parenthesis
= 8n³ + 20n² + 12n - 10n² - 25n - 15 ← collect like terms
= 8n³ + 10n² - 13n - 15
Answer:
[tex]\large\boxed{(2n^2+5n+3)(4n-5)=8n^3+10n^2-13n-15}[/tex]
Step-by-step explanation:
[tex]\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2n^2+5n+3)(4n-5)\\\\=(2n^2)(4n)+(2n^2)(-5)+(5n)(4n)+(5n)(-5)+(3)(4n)+(3)(-5)\\\\=8n^3-10n^2+20n^2-25n+12n-15\\\\\text{combine like terms}\\\\=8n^3+(-10n^2+20n^2)+(-25n+12n)-15\\\\=8n^3+10n^2-13n-15[/tex]
It takes 20 minutes for 5 people to paint 5 walls how many minutes does it take 9 people to paint 9 walls
5×4 is 20. So I figure 9×4 is 36. 36 minutea
Answer: 20 minutes
Step-by-step explanation:
Imagine that each person is assigned one wall, and all 5 people begin painting at the same time.
Since everyone will finish painting their assigned wall after 20 minutes, it takes one person 20 minutes to paint one wall.
If we have 9 people and 9 walls, we can again assign one wall to each person.
Everyone will take 20 minutes to paint their assigned wall.
In other words, it takes 20 minutes for 9 people to paint 9 walls.
Jorge volunteers 2/3 hour at the animal shelter on wednesday. He volunteers 5 times as many hours on saturday. How many hours does Jorge volunteer on saturday?
Final answer:
To find out how many hours Jorge volunteers on Saturday, we multiply his Wednesday volunteer hours of 2/3 hour by 5, which gives us 10/3 hours or 3 1/3 hours.
Explanation:
If Jorge volunteers for 2/3 hour at the animal shelter on a Wednesday and volunteers 5 times as many hours on Saturday, we can calculate the hours he volunteers on Saturday. First, multiply the time he volunteers on Wednesday by 5:
2/3 hour × 5 = 10/3 hours, which is equivalent to 3 1/3 hours or simply 3.33 hours when converted to decimal form.
Therefore, Jorge volunteers 3 1/3 hours or 3.33 hours on Saturday at the animal shelter.
Use the distributive property to evaluate each expression 7(9 - 4) = ???
Answer:
7*9-7*4
63-28
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
multiply each number in the parenthesis by the 7 outside
7(9 - 4)
= (7 × 9) + (7 × - 4) = 63 + ( - 28) = 63 - 28 = 35
ise is shown in this scale drawing. The height of the horse in the drawing is 4.5 inches
The scale that maps the drawing to the actual horse is 1 inch to 1.5 feet.
Scale Drawing of a Horse
4.5 in
Using the scale given, enter the actual height of the horse, in feet.
6.75 feet is the actual height of the horse
What is the Cost of $700 tablet computer that is on sale at 15% off of the local sales tax rate is 4%?
Answer:
$618.80
Step-by-step explanation:
If the tablet is on sale for 15% off, you pay 85% of the original price.
85% of $700 is
700(0.85) = $595
You pay 4% sales tax on $595, which is
$595(0.04) = $23.80
The total cost you pay is $595 + $23.80 = $618.80
Luana wants to buy a pedometer. The pedometer originally sold for $64.50. It is now on sale for off. Luana also uses a coupon to get an additional 40% off the discounted price. What is the final price of the pedometer?
$28.38
$34.83
$58.05
$42.57
Answer:
The final price is $34.83
Step-by-step explanation:
we know that
1) The original price is $64.50
2) Is now on sale for 1/10 off
so
the new price is
$64.50(1-0.10)=$58.05
3) Get an additional 40%
$58.05(1-0.40)=$34.83
please answer quick!
A phone booth is 3 ft. by 4 ft. by 7 ft. What is the amount of space inside the phone booth?
Answer:
84
Step-by-step explanation:
3 times 4= 12
12 times 7= 84
Which vertex in EFGH corresponds with the vertex B in ABCD?
HELP PLZ!!
Answer:
F
Step-by-step explanation:
Each vertex of ABCD corresponds to the vertex of EFGH in the same position.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex A corresponds to vertex E.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex B corresponds to vertex F.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex C corresponds to vertex G.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex D corresponds to vertex H.
Plz help !! Needed to graduate
which point is a solution to the inequality shown in this graph
Answer:
(1, 5)
Step-by-step explanation:
You need a point in the shaded region that is not on the line of the graph.
The points can't be on the line because the line is a dotted line, which means there is either a < or > sign in the inequality, so the solutions are strictly less than or greater than the values on the line.
Points A and B are on line so they aren't solutions.
Point (5, -5) is below the line, so that isn't a solution for this equation either
Point (1, 5) is in the shaded region, so it's a solution
What is the standard form equation of the line shown below? (1 point) Graph of a line going through negative 2, 3 and 1, negative 3
y + 3 = −2(x − 1)
y = −2x − 1
2x + y = −1
−2x − y = 1
Answer:
y= -2x-1
Step-by-step explanation:
In solving, find the gradient from coordinates given , then use the gradient with one of the pairs to find the equation in form of y=mx+c
finding the gradient
points(-2,3) and (1,-3)
m=change in y/change in x
change in y=-3-3=-6
change in x=1--2=3
m=-6/3 =-2
taking the coordinates (1,-3) and (x,y), the equation will be
y=mx+c, where m=-2
(y--3)/(x-1) =-2
(y+3)/(x-1)= -2
(y+3) = -2(x-1)
y+3=-2x+2
y=-2x+2-3
y= -2x-1
A stone fell from the top of a cliff into the ocean.
In the air, it had an average speed of 16 m/s. In the water, it had an average speed of 3 m/s, before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds.
How long did the stone fall in the air and how long did it fall in the water?
Answer:
Time the stone fall in the air = 7 seconds
Time it fall in the water = 5 seconds
Step-by-step explanation:
Given in the question,
speed of stone in the air = 16 m/s
speed of stone in the water = 3m/s
The total distance from the top of the cliff to the seabed = 127 m
the total time it took to hit the seabed = 12 s
Suppose time took to hit the water = x
so the time took from top of water to seabed = 12 - x
Formula to use
distance = speed x timeTotal distance = first distance + second distance127 = 16x + 3(12-x)
127 = 16x + 36 - 3x
127 - 36 = 16x - 3x
91 = 13x
x = 91/13
x = 7 seconds
12 - x = 12 - 7 = 5 seconds
What is the actual distance between Saugerties and Kingston? scale: 1 inch=2.5 miles 4 in
Answer:
The distance between Saugerties and Kingston is 10 miles.
Step-by-step explanation:
4*2.5 = 10.
Write and Y varies directly as x. y 20 when x graph the direct variation function.
Answer:
y = 5x
Step-by-step explanation:
20 = 5(4)
20 = 20
Since they directly vary, this is a linear equation, and the slope is 5.
y = mx + b
y = 5x + b
20 = 20 + b
b = 0
So the equation is
y = 5x
What is 6Σ n=1 [4(-5)^n-1] equal to?
Answer:
-10416.
Step-by-step explanation:
This is a Geometric Series with first term 4 and common ratio -5.
Sum of 6 terms = a1 . (r^6 - 1 )/ ( r - 1)
= 4 *( (-5)^6 - 1) / (-5-1)
= -10416 (answer).
Answer:
-10416
Step-by-step explanation:
write an equation that can be used to find the total commission, C, Harlan will earn for the cost, s, of the shoes that he sold..
Answer:
See below. An example is C = 0.2s.
Step-by-step explanation:
You can write an expression to represent any situation. Harlan makes a commission which is usually a percentage of the price. For example, if Harlan earns 20% on each purchase then when he sells a $100 he earns $20 of commission. For any price or cost on shoes s, this would be 0.2s. His commission C = 0.2s.
Solve the problem. six times Tim’s age is 54. His sisters age times three is also 54. How old are Tim an his sister Amy?
Tim is 9 years old, and Amy is 18 years old. We found this by dividing 54 by 6 and 3 respectively, based on the given equations 6T = 54 and 3A = 54.
Explanation:To solve the problem involving Tim and his sister Amy's ages, we need to set up equations based on the information given. The problem states that six times Tim's age is 54 and that three times Amy's age is also 54.
Let's let T represent Tim's age and A represent Amy's age. We can set up the following two equations based on the problem:
6T = 543A = 54To find Tim's age, we divide both sides of the first equation by 6:
T = 54 / 6
T = 9
So, Tim is 9 years old.
To find Amy's age, we divide both sides of the second equation by 3:
A = 54 / 3
A = 18
So, Amy is 18 years old.
Given: AD≅AO
Find: m∠OAD, m∠DBA.
[tex]OA=OD=AD=R\Rightarrow \bigtriangleup OAD\: is\: an\: equilateral\: triangle \\ \Rightarrow \widehat{AOD}=\widehat{OAD}=\widehat{ODA}=60° \\ \widehat{ABD}= \frac{\widehat{AOD}}{2} = \frac{60°}{2} = 30°[/tex]
Answer:
Step-by-step explanation:
Given: AD≅AO
To find: m∠OAD and m∠DBA.
Solution: It is given that AD≅AO, and also OA≅OD (Radius of circle), therefore ΔAOD is an equilateral triangle.
Hence, m∠OAD=m∠ODA=m∠AOD=60°.
Now, we know that the intercepted angle is half of the central angle, thus
[tex]m{\angle}DBA=\frac{m{\angle}AOD}{2}[/tex]
⇒[tex]m{\angle}DBA=\frac{60^{\circ}}{2}[/tex]
⇒[tex]m{\angle}DBA=30^{\circ}[/tex]
Hence, the measures of [tex]{\angle}OAD[/tex] and [tex]{\angle}DBA[/tex] are [tex]60^{\circ}[/tex] and [tex]30^{\circ}[/tex] respectively.
determine if each example is positive or negative earn $25 which one is it is your feet below sea level or 4 degrees below zero
Answer:
I would say
earned $25 is positive
0 feet below see level is negative
4 degrees below zero is negative
Step-by-step explanation:
please help me anyone
Answer:
57 in²
Step-by-step explanation:
S=1/2*8*3=12
4s+9=4*12+9=57
Write the quadratic equation whose coefficient with x2 equal to 1 and roots are:
1/2√3 and 2√3
Answer:
[tex]x^{2}-\frac{5\sqrt{3}}{2}x+3[/tex]
Step-by-step explanation:
we know that
The quadratic equation is equal to
[tex](1)(x-\frac{\sqrt{3}}{2})(x-2\sqrt{3})\\ \\=x^{2} -2\sqrt{3}x-\frac{\sqrt{3}}{2}x+3\\ \\=x^{2}-\frac{5\sqrt{3}}{2}x+3[/tex]
Coterminal angle help
Answer: 320
Step-by-step explanation:
Coterminal means it is in the same place on the Unit Circle but with one or more rotations clockwise or counterclockwise.
Note: one rotation is 360°
-760 + 360 = -400
-400 + 360 = -40
-40 + 360 = 320
320 is between 0 and 360 so this is the angle we are looking for!
I ASK SO MUCH OF YOUR HELP, PLEASE. Let x + y = 11 and x^2 + y^2 = 325. What is the value of x^3 + y^3? PLEASE EXPLAIN, TOO.
Answer:
x³+y³=4697
Step-by-step explanation:
x+y=11
y=11-x
325=x²+y²
=x²+(11-x)(11-x)
=x²+121-11x-11x+x²
325=2x²-22x+121
0=2x²-22x-204
=(2x+12)(x-17)
0=2x+12 or 0=x-17
-12=2x 17=x
-6=x
y=11-x
y=17 or -6
(-6,17) or (17,-6)
=x³+y³
=(-6)³+(17)³
=4697
An estimated three out of every 25 men are left-handed what percent of the men are left-handed?
Answer:
12%
Step-by-step explanation:
3/25 x 100 = 12
Answer:12%
Step-by-step explanation:
3/25 * 100 ☺
Find the exact circumference of a circle with the given radius. miles C = ¼x miles x miles 2x miles
The correct option is B.
The exact circumference of a circle with radius X/2 miles is Xπ miles.
To find the circumference of a circle, we use the formula: Circumference (C) = 2πr, where r is the radius of the circle. Given that the radius is X/2 miles, we substitute this value into the formula:
C = 2π × (X/2)
= Xπ miles
Therefore, the exact circumference of the circle with radius X/2 miles is Xπ miles.
The correct answer is B) xπ miles.
In summary, to find the circumference, we simply multiply the radius (X/2) by 2π, which gives us Xπ miles. This answer aligns with option B) xπ miles.
The complete question is here:
Find the exact circumference of a circle with the given radius.
X/2 miles
C = _____
A) ¼xπ miles
B) xπ miles
C) 2xπ miles
a store manager sends an email survey to customers who have registered at the store's websites. Why is this survey biased?
The survey is biase because it is only surveying shoppers that have registered on the website,.
For the circle with equation (x-2)^2+(y+3)^2=9, answer each question. a) whats coords of the center? b) what are the radius and diameter of the circle? c) graph.
Answer:
a) center (2, -3)b) radius r = 3c) in the attachmentStep-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have:
[tex](x-2)^2+(y+3)^2=9\\\\(x-2)^2+(y-(-3))^2=3^2[/tex]
a) center (2, -3)
b) radius r = 3
c) in the attachment
The answers are:
a) The point (2, -3).b) The radius is 3 units, and the diameter is 6 units.c) The graph can be seen below.What is the equation of a circle?
The equation of a circle centered in the point (a, b) of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Then for the equation:
(x-2)^2+(y+3)^2 = 9 = 3^2
We can see that:
a) The center is the point (2, -3)
b) The radius is R = 3, and the diameter is twice the radius, so it is equal to 6.
c) The graph can be seen below:
If you want to learn more about circles, you can read:
https://brainly.com/question/1559324
A water dispenser has a capacity of 20,000 milliliters. What is its capacity in liters?
Be sure to include the correct unit in your answer.
Answer:
20
Step-by-step explanation:
So to get 20 all you had todo was multiply 20,000 by 0.001, because milliliters converted into liters is 1 milliliter= 0.001 liters.
Answer:
20 Liters
Step-by-step explanation:
One way to look at it is that there are 1000 mL in one L. But I think a better way in general for unti conversions is to do it like this.
20000 ml * [tex]\frac{1L}{1000 mL}[/tex] Where you can just cancel out the units. Hopefully it made sense. If you were converting from L to ml you would use [tex]\frac{1000 mL}{1 L}[/tex]