Answer:
y=3.5x+9
and
y=x
you're having a bbq this weekend, and you're in charge of hamburger meat. right now there is a sale where you can buy 5 pounds of meat for $10. At this rate how much meat could you buy for $30
Answer:
15 pounds
Step-by-step explanation:
we can set up a proportion:
5/10=x/30
solve for x:
5/10=x/30
10x=150
x=15
(or you could've done 5*3=15 since $30/$10=3)
The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)
Answer:
0.02degrees
Step-by-step explanation:
Given the following
Length of the river (adjacent) = 1352km = 1352000m
Height of the source (opposite) = 453m
Required
angle of elevation theta
Using the SOH CAH TOA identity
tan theta = opposite/adjacent
tan theta = 453/1352000
tan theta = 0.0003351
theta = arctan(0.0003351)
theta = 0.02 degrees
Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth
When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.
Required:
Find an equation for Sn.
Solution :
If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.
Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,
[tex]a_1 = D[/tex]
[tex]a_2=D_c[/tex]
[tex]a_3 = Dc^2[/tex]
[tex]a_4 = (Dc^2)c= Dc^3[/tex]
....
[tex]a_n=Dc^{n-1}[/tex]
∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]
[tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]
[tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]
[tex]S-n=D . \frac{1-c^n}{1-c}[/tex]
an aquarium at the zoo is shaped like a cylinder. it has a height of 4 feet and a base radius of 2.5 feet. the aquarium is being filled with water at a rate of 12 gallons per minute. if one cubic foot is about 7.5 gallons, how long will it take the aquarium to fill? round to the nearest whole minute.
Answer:
49 minutes
Step-by-step explanation:
Volume
v = πr²h
v = π(2.5²)4
v = 78.5 ft³
--------------------------
Gallons needed
78.5 * 7.5 = 588.75 gallons
----------------------
Time to fill
588.75 / 12 = 49.0625
Rounded
49 minutes
Find f(3) for f(x)=1/2(4)^x.
O A. 32
O B. 64
O c. 6
6
O D. 8
Answer:
A) 32
Step-by-step explanation:
f(3)=1/2(4)^(3)
I’ll give you five Stars right answer only
Answer:
58
Step-by-step explanation:
i think the answer is 58 please give brainliest
Answer:
(a) 18.5ft
(b) 388.5 ft²
Step-by-step explanation:
(a)
She has 79ft of fence = the perimeter will be 79.
Perimeter of a rectangle = 2(length) +2(width)
79 = 2(21)+2(width)
2(width) = 79 - 42
width = 37/2
width = 18.5ft
(b)
Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²
PLS HELP 40 POINTS
A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How many times larger are the dimensions of the larger prism?
25
625
5
10
Answer:
C. 5Step-by-step explanation:
The area is the product of two dimensions.
If the ratio of sides is k, then the ratio of areas is k²
We have:
k² = 200/8k² = 25k = √25k = 5Correct choice is C
5
Have a great day/night!
Find cotθ if θ terminates in Quadrant III and secθ = 2
a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3
Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3
olve the system of linear equations by graphing. =3+3 - 2x - 3
Answer:
If the equation is actually typed like that the answer will be
3-2x
If is typed like this 3-2x-3+3=
It will be
-2x+3
HELP ME PLEASEEEEEEEEEEEE
Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) With $3.00, you could buy 10 bananas D) Each banana costs $0.30
Answer:
go to school, do your work, you are only cheating yourself, not the school, or end up homeless
Step-by-step explanation:
The quotient of 9 and 3 subtracted from the product of 6 and 2
Answer:
(6⋅2)−(9/3)
Simplify each term.
12−3
Subtract 3 from 12.
9
Step-by-step explanation:
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms exterior 28, measuring 60°. What is the-
measure of
22?
Answer:
100degrees
Step-by-step explanation:
From the given diagram;
<2 = <6 (corresponding angle)
Since <6 + 80 = 180
<6 = 180 - 80
<6 = 100 degrees
Since <2 = <6, hence <2 = 100degrees
The square of an integer is 5 more than 4 times the integer. Find the integer.
Answer:
The integer can be -1 or 5.
Step-by-step explanation:
Let an integer is x.
ATQ,
The square of an integer is 5 more than 4 times the integer.
[tex]x^2=5+4x[/tex]
or
[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]
It is a quadratic equation. Using middle term splitting,
[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]
So, the integer can be -1 or 5.
If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5
Let the unkown integer be "x"
The square of an integer is expressed as x^2
5 more than 4 times the integer is expressed as [tex]4x +5[/tex]
Equate both expressions to have:
[tex]x^2 = 4x + 5\\[/tex]
Equate to zero and factorize:
x^2 - 4x - 5 = 0
x^2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and 5
Hence the integers are -1 and 5
Leearn more here: https://brainly.com/question/13805464
Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m
9514 1404 393
Answer:
B. 9 cm
Step-by-step explanation:
The number of face masks Ray can make with 20 m of cord is ...
(20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks
To make one more mask, he will need to buy an additional amount of ...
(196 -195.12195)×(10.25 cm) ≈ 9.00 cm
Ray would need to add 9 cm of cord to his order.
A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with
water. The water is poured into an empty cubical tank of edge 18 cm until
it is full. How much water is left in the rectangular tank? Give your answer
in millilitres.
Answer:
Amount of water left in tank = 440 cm³
Step-by-step explanation:
Given:
Sides of tank respectively = 35 cm , 28 cm , 16 cm
Water level in tank = 2/5
Side of a cubic tank = 18 cm
Find:
Amount of water left in tank
Computation:
Volume level in rectangular tank = [2/5][35 x 28 x 16]
Volume level in rectangular tank = [2/5][15,680]
Volume level in rectangular tank = [31,360/5]
Volume level in rectangular tank = 6,272 cm³
Volume of cube = side³
Volume of cube = 18³
Volume of cube = 5,832 cm³
Amount of water left in tank = Volume level in rectangular tank - Volume of cube
Amount of water left in tank = 6,272 - 5,832
Amount of water left in tank = 440 cm³
D is going in the 4th quadrant. Please help
what 8 × 3 to the 14th power multiplied by 136???
[tex]23x {5521}^{?} [/tex]
om de har har mahadev har har mahadev har har mahadev mahadev har har mahadev
5,203,870,272
Step-by-step explanation:
8×3^14×136
=(8)(4782969)(136)
=(38263752)(136)
=5,203,870,272
i think this is the answer
Write the equation of the line in fully simplified slope-intercept form.
If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest
Answer:
yes
Step-by-step explanation:
Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
A
Step-by-step explanation:
It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.
(u + 4.5)(1.2) please help
It takes a racecar 47 seconds to complete one lap on a 3,200-meter track. What is the racecar's average speed during the lap? A. 150 m/s B. 68 m/s C. 15 m/s D. 79 m/s
WILL NAME BRAINLIEST
it’s a non calc question
Answer:
60 Degrees
Step-by-step explanation:
trust me
4 + (m -n )^4 when m =7 and n = 5 whats the value ?
Answer:
20
Step-by-step explanation:
We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.
If this has helped please mark as brainliest
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Equation:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\large\textsf{Solving:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]
[tex]\mathsf{= 4 + (2)^4}[/tex]
[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]
[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]
[tex]\mathsf{= 4 + 4\times 4}[/tex]
[tex]\mathsf{= 4 + 16}[/tex]
[tex]\mathsf{= 20}[/tex]
[tex]\large\textsf{Therefore, your answer should be:}[/tex]
[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
calculate the gross margin if the selling price is $264 and the cost is $214
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
To calculate the gross margin, we need to deduct from the selling price the unitary cost:
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50
A small cake is cut into 4 equal pieces. What fraction represents the entire cake? Explain.
Answer:
4/4 ?
Step-by-step explanation:
Answer:
4/4
Step-by-step explanation:
Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.
Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?
Answer: Tammy would have 9
Step-by-step explanation:
(6 3/4) / (3/4) =
= 27/4 / 3/4
= 27/4 * 4/3
= 27/3 * 4/4
= 9
Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?
First lets find the total number of cookies
12*4=48
48 cookies
Number of cookies eaten
5*2=10
10 were eaten
Cookies left
48-10=38
38/48=19/24
19/24 of the cookies are left
Answer:
38 are left
Step-by-step explanation:
A piece of aluminum that is 20 cm³ has a mass of 54 g.
a. What is the density of the aluminum?