Answer:
3t-21
2t²-6t
-3st-15s
9-x²
16x²-49
Step-by-step explanation:
In general
A(B+C)=AB+AC
(A+B)(D+C)=AD+AC+BD+BC
(A+B)(A-B)=A²+AB-BA-B²=A²-B²
ANSWER:
1) 3(t-7)
= 3t-21
2) 2t(t-3)
= 2t^2-6t
3) -3s(t+5)
= -3st-15s
4) (3+x)(3-x)
= 9-3x+3x-x^2
5) (4x-7)(4x+7)
= 16x^2 -28x+ 28x-49
Please help me. Giving all these points for correct answer.
Answer:
7.722 cm^2.
Step-by-step explanation:
The area required is 1/4 of the difference of the area of the square and the circle.
The radius of the circle = 1/2 * 12 = 6 cm.
The area required = 1/4 * (12^2 - 3.142 * 6^2)
=7.722 cm^2.
Answer:
7.72500
Step-by-step explanation:
Here are the steps for and problem like this one.
Write an inequality to represent the situation.Remove Parenthesesmultiply the numbers (in this case it would be 2×3=6)Subtract the numbers (in this situation it would be -54 - 6 = - 60)There are 8 students in our Math class left to give their presentations. Today
we will have time for 5 presentations. How many different ways can the
teacher choose the presenters?
OA) 56
OB) 112
OC) 168
OD) 336
Answer:
Option A. 56
Step-by-step explanation:
The question talks about chosing 5 presenters out of 8 presenter.
This can be achieved b using the following formula:
nCr = n! /r! (n–r)!
n = 8
r = 5
8C5 = 8! / 5! (8 – 5)!
8C5 = 8! / 5! 3!
8C5 = (8 x 7 x 6) / (3 x 2 x 1)
8C5 = 56
Therefore, there are 56 ways in which the teacher can chose the presenters.
Answer: Choice A
Step-by-step explanation:
which is equal to 500?
The right answer is 10√5..
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
2nd one
Step-by-step explanation:
If you look at all the factors the highest pair with a square root is 5•100
The square root of 100 is 10
And then the square root of 5 is left
6. What is a reasonable temperature to cook a chicken?
a) 100°F b) 200°F c) 300°F d) 400°F
Answer:
200°F
Step-by-step explanation:
165 degrees Fahrenheit is the safe internal temperature for both the white meat and dark meat.
Answer:
The answer might be B. I hope this helps please tell me if right or wrong.
Step-by-step explanation:
Which would be used to solve this equation? Check all that apply.
p/3=12
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution
Step-by-step explanation: Help I help
Which input was substituted into the function f(x) = x to
create the given graph?
Of(x + 2.5)
Of(x - 2.5)
Answer: f(x-2.5)
Step-by-step explanation:
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera 8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to monitor every customer who enters and exits the store. At want angle of depression should Harry set the camera to capture the faces of all customers? Use a diagram and mathematical calculations to help you explain your answer.
Answer:
The angle of depression is found.
θ = 26.56°
Step-by-step explanation:
Let point A be the entrance of a Deli.
Let point C be the location of camera.
Let point B be the horizontal distance from entrance to the camera.
It forms a right angled triangle. where Base = 16 ft and Perpendicular = 8 ft.
Let θ be the angle of depression at point B which is always equal to the angle of elevation at point A.
Using tan θ
[tex]tan\theta= \frac{Perpendicular}{Base}\\tan\theta=\frac{8}{16}\\\theta=tan^{-1}\frac{8}{16}\\\theta=26.56^\circ[/tex]
A marine biologist is interested in the daily percent intake of a particular nutrient and how it relates to growth of tiger
shrimp. She finds the growth of the tiger shrimp, G, is dependent on the daily percent intake of this nutrient, X, and can be
modeled by the function
Go) = 2 +7x.
Answer:
See picture attached
Step-by-step explanation:
The missing question is:
Draw the graph of the growth function by plotting its G-intercept and another point.
Given the function:
G(x) = 2 + 7x
its G-intercept is found when variable x is equal to zero.
G(0) = 2 + 7(0) = 2
Then, the G-intercept is point (0, 2)
To graph a line, two points are needed. Replacing x = 1 into the equation, we get:
G(1) = 2 + 7(1) = 9
So, point (1, 9) is on the line. The graph of the function is the line that passes through these two points, as can be seen in the picture attached.
Help please if you answer you get 25 points
Answer:
8.9
Step-by-step explanation:
Use Pemdas or Bedmas ( Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
First add 4.5 and 7.6, you get 12.1
Now do the division, 8/2.5 = 3.2
Lastly you subtract, 12.1-3.2 = 8.9
Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
A. It is a function of x but not a relation.
B. It is a relation but not a function of x.
C. It is both a function of x and a relation.
D. It is neither a function of x nor a relation.
Answer:
B. It is a relation but not a function of x.
Step-by-step explanation:
I just took the quiz on edge
Answer:
B. It is a relation but not a function of x
Step-by-step explanation:
947/7 it is hard because it is confused
Answer:
135.2857142857143
Step-by-step explanation:
its right?
Answer:
7 x 1 = 1
9-7=2
7 x 3 = 21
24-21=3
7 x 5 = 35
37-35=2
135 remainder 2
Step-by-step explanation:
If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.
============================================================
Explanation:
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value, so the answer is confirmed.
The equation that connects x and y, is, y = 12/(x^2).
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value,
Hence, The equation that connects x and y, is, y = 12/(x^2).
To learn more on equation click:
brainly.com/question/24169758
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What would be the cost for 5 of the gift cards?
Answer:100 is the answer
Step-by-step explanation: your going up 20 every dot my G
Answer:
$100
Step-by-step explanation:
There are 42 technicians to repair 6 Aircrafts. The ratio of Aircrafts to technicians is…
Answer:
6:42 or 1:7 simplified.
Step-by-step explanation:
Ann increased the quantities of all the ingredients in a recipe by 60% She used 80 grams (g) of cheese How much cheese did the recipe require?
Answer:g = 50 g
Step-by-step explanation:
She used 60% more than required ⇒ she used (1+0.60)=1.60 times what was required.
x = grams required by the recipe
80 g = 1.60x
x = (80/1.60) g = 50 g
Use the set of ordered pairs to determine whether the relation is a function. {(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}.
Answer:
It is non function
Step-by-step explanation:
because the x values repeated, the input ( x values) produce more than one output.
This is not a function because for a value of x the value of the y comes out to be two.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The set of ordered pairs are as given below.
{(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}
The relation to be a function for each value of the x the value of the y should be unique.
This is not a function because for a value of x the value of the y comes out to be two.
More about the function link is given below.
https://brainly.com/question/5245372
A rectangular bathtub has a depth of 24 in., a width of 24 in., and a length of 60 in. If the tub is filled up to
3 inches below the top, how much water is in the tub?
Answer:
The amount of water is [tex]30,240in^3[/tex]Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism in the form of a bathtub.
Given data
depth of bathtub= 24 in
width of bathtub= 24 in
length of bathtub= 60 in
the volume of water in the bathtub is a function of the depth of water in relation with the dimension of the bathtub.
the depth of water is 3 in below the the top
hence the depth of water (24 in- 3 in)= 21 in
the expression for the volume of water is given as
[tex]volume= length* width*depth\\volume= 60*24*21=30,240in^3[/tex]
A sprinter travels a distance of 300 m in a time of 28.22 seconds. What is the sprinter's average speed rounded to 4 sf?
Answer:
[tex]10.6 \: m/s[/tex]
Step-by-step explanation:
Average speed = distance covered divided by the time taken.
[tex]S=\frac{d}{t}[/tex]
[tex]\frac{300}{28.22}[/tex]
[tex]=10.63075[/tex]
Answer:
10.63m/s
Step-by-step explanation:
distance traveled=s=300m
time taken=t=28.22s
average speed=v=?
average speed=[tex]\frac{distance covered}{time taken}[/tex]
average speed=[tex]\frac{300m}{28.22s}[/tex]
average speed=10.63075m/s
now in the question it is said that round to 4 significant figures so will write only first four digits
average speed=10.63m/s
please help with this ! will give brainless
Answer:
x^13
2n^2x-5n^7
-6x^10-x
60s^7
6v^7
p^6
-4b^9/3
pls mark as brainliest if its right :)
What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .
===========================================================
Explanation:
[tex]a_1 = 7[/tex] is the first term
[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term
The nth term of the arithmetic sequence is,
[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]
----------------
As a check, let's plug in n = 4 and we should get -8 as our fourth term
[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]
so that confirms that portion of the sequence. I'll let you check the other values.
The area of a triangle is 17.5 square meters. The height of the triangle is 3 meters less than twice its base. The base of the triangle is x meters. Complete the equation that represents this description and fill in the values for the base and height of the triangle. The equation modeling the described triangle is x2 + x + = 0. The base of the triangle is meters. The height of the triangle is meters.
Answer:
A = ½ * base * height
A = ½ * x * (2x-3)
17.5 = ½ * (2x² - 3x)
35 = 2x² - 3x
0 = 2x² - 3x - 35
2x² - 3x - 35 = 0 .......... (the equation)
(2x + 7)(x - 5) = 0
2x + 7 = 0
2x = - 7
x = -7/2 = -3.5
x-5 = 0
x = 5
since we have two result of x, then we can choose the positive one x = 5
so the base is 5 m and the height is
h = (2x - 3) = 2*5 - 3 = 10-3 = 7 m
Given: Line A B intersects Line D E at point C.
Prove: AngleDCB Is-congruent-toAngleECA
Line D E intersects line B A at point C.
A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem.
What is the missing reason in step 5?
linear pair postulate
given
definition of complementary angles
congruent complements theorem
Answer:
linear pair postulate
Step-by-step explanation:
The linear pair postulate is the missing step.
What's the meaning of a linear pair of lines?Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
What is a Postulate?Postulate statement received without evidence. Axiom is any other name for postulate. for instance, if you understand that Pam is 5 feet tall and all her siblings are taller than her, don't trust her if she says that all her siblings are at the least 5 toes tall.
Learn more about the linear pair postulate here: brainly.com/question/19246011
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The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
uquzas prguntale ea otroi
A picture was marked at $90.00. It was sold at 3/4 of its marked price. What was the sale price?
Answer: $67.50
Step-by-step explanation:
Marked price = $90
It is sold at 3/4 of marked price
3/4 of 90
3*4 x 90 = 135/2
= 67.50 = sale price
Travis has the following problem for homework:
82 - 16 x 4 + 18+ [(36/6) - 2]
His neighbor, Ted, says "just solve it working left to
right." Ted gets an answer of 51.
What is the correct answer? (Hint: Ted doesn't know
PEMDAS).
Answer:
The correct answer is -4
Step-by-step explanation:
First you have to solve what is in the parenthesis. So do 36/6 which is 6 and then subtract 2 to get 4. Then you have to do the multiplication so 16 x 4 and you get 64. then you can go left to right. 82-64+18+4 and when you do that you get -4
Please answer the question stated below
Answer:
$252
Step-by-step explanation:
We need to find 30 percent of 400 dollars. Thirty percent can be written as 30/100, or 0.3.
Multiply 400 by 0.3, and we get $120. Since $120 is 30% of 400, we subtract 400 by 120. This gives us $280.
$280 is now the sale price. We need to find 10% of 280. Multiply 280 by 0.1, which gives us $28. This amount is taken off of the sale price, so we need to subtract 28 from 280.
280-28 is $252. This is the final price she will pay.
Simplify: 6-/18 - 3.450
Answer:
-3.11666666667
Step-by-step explanation:
remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants. hope this helps you :)
Having a hard time on these 2
Answer:
3. A = 363.3 mm²
4. A= A = 1122.4 yd²
Step-by-step explanation:
pretty sure these are correct
plz mark brainliest!
A large cheese pizza costs 18 dollars.. Each topping you add on costs $1.50
How much would it cost to get a large cheese pizza with c toppings added?
Write your answer as an expression.
Answer:
1.50c +18
Step-by-step explanation:
The constant price is 18 dollars, which never changes and for every topping you get, it costs $ 1.50. Since we don't know how many extra toppings are added we write 1.50c. This shows that the price will be determined by the number of extra toppings added. If you got no toppings, sub in 0 for c to get $ 18 .
Answer:
1.50c+18
Step-by-step explanation:
The base price of the large cheese pizza is $18. Since we don't know how many extra toppings are added we write 1.50c. This shows that the price will be determined by the number of extra toppings added. Since the question asked for an expression and not an equation, there is no equals sign.
One car leaves town traveling at 72 miles per hour (mph). An hour later, a second car leaves the same town, on the same road, traveling at 90 mph. In how many hours will the second car overtake the first?
Answer: i think its 1.25hrs
Step-by-step explanation: 90/75=1.25