Answer:
if you add 14 to 1750 you will get 1764 which equals 42²
Step-by-step explanation:
Describe the graph of the proportional relationship between the two quantities and describe how the unit rate is represented on the graph. Bananas are $2.40 per pound.
a
The graph of y = 24x , which is a line passing through (0, 0) with a slope of 24; the slope 24 is the unit rate of each pound of bananas.
b
The graph of y = 2.4x , which is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
c
The graph of y = 5.8x , which is a line passing through (0, 0) with a slope of 5.8; the slope 5.8 is the unit rate of each pound of bananas.
d
The graph of y = 2.4 + x , which is a line passing through (0, 0) with a slope of 2.4; the slope -2.4 is the unit rate of each pound of bananas.
Given:
Bananas are $2.40 per pound.
To find:
The graph and unit rate on the graph.
Solution:
Let y be the total cost of x pounds of bananas.
Cost of 1 pound of banana = $2.40
Cost of x pound of bananas = $2.40x
So, the required equation for the given situation is:
[tex]y=2.4x[/tex]
The graph of [tex]y=2.4x[/tex] describes the proportional relationship between the two quantities.
The graph of [tex]y=2.4x[/tex] is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
Therefore, the correct option is (b).
Answer:
a
Step-by-step explanation:
Building A is 480 feet tall and building B is 654 feet tall. If the angle of depression form the top of building b to the top of building a is 42 degrees, how far apart are the buildings?
Answer:
129.3 feets
Step-by-step explanation:
Using the solution diagram attached below :
The difference in height of the two buildings :
Building B - Building A = (654 - 480) = 174 feets
Using trigonometry :
Cosθ = opposite / Adjacent
Cos 42 = d / 174
d = 174 * Cos 42
d = 129.307
d = 129.3 feets
28. The edges of a cube are all increased by
10%. What is the percentage increase in the
volume?
Answer:
Percentage increase in volume will be
33.1
%
Step-by-step explanation:
Let the each edge of cube be
100
units.
Then its volume is
100
3
=
1000000
cubic units.
If each edge increases by
10
%
it becomes
110
units
and volume becomes
110
3
=
1331000
cubic units
Therefore increase in volume is
1331000
−
1000000
=
331000
cubic units
and percentage increase in volume is
331000
1000000
×
100
%
=
331
10
%
=
33.1
%
Which statement correctly compares the function shown on this graph with
the function y = 4x+ 2?
8
7
6
5
4
12
-5 -4 -3 -2 -1
1 2 3
4 5
-2
Answer:
B. The function shown on the graph has a smaller rate of change but a higher starting point
Step-by-step explanation:
Question options obtained from a similar question are;
A. The function shown on the graph has a greater rate of change and a higher starting point
B. The function shown on the graph has a smaller rate of change but a higher starting point
C. The function shown on the graph has a greater rate of change but a lower starting point
The function shown on the graph has a smaller rate of change but a higher starting point
Explanation;
The given function with which the graph is compared is y = 4·x + 2
From the given function, we have;
The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4
When y = 0, 4·x + 2 = 0,
∴ x = -2/4 = -0.5
The y-intercept is given when x = 0
∴ The y-intercept, y = 4 × 0 + 2 = 2
The starting point of the function, is (0, 2)
From the graph, we have;
The y-intercept = (0, 4)
Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)
The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)
The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3
Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4
When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.
if i made 11$ an hour working at publix how much would i have in 4 year's?
i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away
Answer:
40*52*11*4 = $91,520
But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.
Step-by-step explanation:
Answer: $385440 if you work non stop, for every hour of those 4 years
Step-by-step explanation: 24 hours in a day, 24*365=8760
8760*4=35040 total hours.
Now if we multiply that by 11, because you get 11 dollars an hour,
35040*11= $385440 in total
But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.
Solve for b in the literal equation y = 12x + 12b.
b=
Answer:
[tex]b = \frac{y-12x}{12}[/tex]
Step-by-step explanation:
subtract 12x from both sides, then divide by twelve.
State the amplitude and period of the sine function below
Answer:[tex]\color{iron}{}[/tex]
Amplitude:
[tex]\color{iron}{5π/4}[/tex]
Period:
[tex]\color{iron}{3.14 x (4)²}[/tex]
[tex]\color{iron}{3.14 x 16}[/tex]
[tex]\color{iron}{A=5.4π}[/tex]
Cos2x-cos12x=5 giải phương trình
Step-by-step explanation:
Giải phương trình: 6sin^2(3x) + cos12x - 14 = 0 - Giải phương trình: ... 4sin^2 (x)-cos2x=2 giải pt ... 0 1 2 3 4 5 6 7 8 9 10.
Find the area of the figure
Will
Give
Brainlist
Answer: 52x+4
Step-by-step explanation: Do 16(2x-1)+4(5x+5) and get 52x+4.
pl help me I will give u branist and also follow u and give u like plz help me
Answer:
Dividend
Step-by-step explanation:
Dividend is the profit earned from investing in stock
4. Which of the following is not true of saliva?
A. Cleanses the mouth
B. Dissolves certain foods
C. Moistens food and aids in swallowing
D. Contains enzymes that begin the breakdown of proteins
Answer: c
Step-by-step explanation:
ok so it doesn't contain moisten in food
The statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins.
What is Saliva?Saliva is a liquid that is made by the salivary glands in the mouth. Saliva contains the enzyme known as amylase which helps to break down starch. Saliva does not have enzymes that can break down proteins.
Other functions of Saliva are:
Aids in dissolving certain foodsAids swallowing and moistening of foodsPrevents bad breath and cleanses the mouth.Therefore, the statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins.
Learn more about saliva on:
https://brainly.com/question/882651
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
1. What is the value of the digit 7 in the number 176 354?
Answer:
7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four
Answer:
tens of thousands
Step-by-step explanation:
if bottled water costs 3.00 and a pack of 6 water's cost 4.50 which has the lower unit rate
Answer:
The pack of water has the lower unit rate.
Step-by-step explanation:
The unit rate per bottle for individual bottles is 3.00. The unit rate for the pack is 0.75 per bottle.
Which statement correctly compares the two functions? A. They have the same end behavior as x approaches [infinity], but they have different x- and y-intercepts. B. They have the same x-intercept and the same end behavior as x approaches [infinity]. C. They have the same y-intercept and the same end behavior as x approaches [infinity]. D. They have the same x-intercept and the same y-intercept.
Answer:
A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.
Step-by-step explanation:
The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.
Find the value of p (x) = 4x^3 - 7x^2 - 5x + 43 if x= -3
Answer:
[tex]p(x) = {4x}^{3} - {7x}^{2} - 5x + 43 \\ \\ p( - 3) = {4( - 3)}^{3} - {7( - 3)}^{2} - 5( - 3) + 43 \\ p( - 3) = - 113[/tex]
Answer:
- 113
Step-by-step explanation:
Substitute x = - 3 into p(x) and evaluate , that is
p(- 3) = 4(- 3)³ - 7(- 3)² - 5(- 3) + 43
= 4(- 27) - 7(9) + 15 + 43
= - 108 - 63 + 58
= - 171 + 58
= - 113
A square has an area of 36 ft^2. What is the perimeter of the square? Show or explain your
answer.
Answer:
24 ft
Step-by-step explanation:
The area of a square is given by
A = s^2
36 = s^2
Take the square root of each side
sqrt(36) = sqrt(s^2)
6 = s
The perimeter of a square is
P = 4s
P = 4(6)
P = 24
Justin printed 44 posters to advertise the garage sale. He gave 11 friends the same number of posters to display around the neighborhood. How many posters did Justin give each friend?
Answer:
4
Step-by-step explanation:
44/11=4
Can someone help me?It's urgent and thank you!
Answer:
11
Step-by-step explanation:
Solution for this problem is in this picture.
You travel about 1.3x10^4 miles per year in your Toyota Camry, which gets 28 miles per gallon of gasoline. The combustion of gasoline emits 2.42 kg C per gallon. Based on this information, calculate the carbon footprint of your transporation.
Answer:
1123.5714 kg C
Step-by-step explanation:
Given :
Miles traveled = 1.3 * 10^4 miles
Miles per gallon = 28 miles per Gallon
Carbon footprint per gallon = 2.42 kg C per gallon
The total gallons of gasoline used over the course of the year :
Total miles traveled / miles per gallon
1.3 * 10^4 / 28 = 464.28571 gallons
Carbon footprint per gallon = 2.42 kg C
Total carbon footprint of transportation :
2.42 kg C per gallon * 464.28571 gallons
= 1123.5714 kg C
Hace 5 años compramos una casa en 40.000, hoy la casa cuesta un 30% mas del precio original si podemos vender la xasa ¿Cuanto es lo mínimo que debemos cobrar por ella?
Respuesta:
52 000
Explicación paso a paso:
Dado :
Costo de la casa hace 5 años = costo original de la casa = 40,000
Aumento porcentual en el precio original hoy = 30%
El monto mínimo a cobrar por la casa:
Precio original * aumento porcentual del precio original
40.000 + (30% de 40.000)
40000 + (0,3 * 40000)
40000 + 12000
= 52 000
Monto a cobrar por la casa = 52,000
HELP ASAPPPP!!!!!!!
Find the y-intercept of the line y-7x= -3
Answer:
y - intercept = - 3
Step-by-step explanation:
The equation of a line is typically written as y=mx + b where m is the slope and b is the y-intercept.
Given :
y - 7x = - 3
y = 7x - 3 [ convert to standard line equation form ]
Therefore , y - intercept = - 3
Answer:
-3
This is the y intercept because when you re-arrange the equation to form y=mx+c, the y-intercept( c) is -3.
Find f(-x) of the function 4x^2+2x-4 SOMEONE PLEASE HELP ASAP WORTH 50 POINTS
Given:
The function is:
[tex]f(x)=4x^2+2x-4[/tex]
To find:
The value of [tex]f(-x)[/tex].
Solution:
We have,
[tex]f(x)=4x^2+2x-4[/tex]
Substituting [tex]x=-x[/tex] in the given function, we get
[tex]f(-x)=4x^2-2x-4[/tex]
Therefore, the required function is [tex]f(-x)=4x^2-2x-4[/tex].
Pls pa Answer po❤️!!!!!
Answer:
1) 4
2) 40
3) 22
4) 3
5) 9.5
6) 4
7) 14.2
8) 7
9) 12
10) 11
Step-by-step explanation:
1) 14 + 6 = 16
so, 16 - 12 = 4
2) 58 - 18 = 40
3) 30 - 8 = 22
4) 10 + 2= 12
so, 12 - 9 = 3
5) 15 + 3 = 18
so, 18 - 7.5 = 9.5
6) 22 - 8 = 14
so, 14 - 10 = 4
7) 19.6 - 5.4 = 14.2
8) 17 - 9 = 8
so, 8 -2 = 7
9) 54 + 8 = 62
so, 62 - 50 = 12
10) 32 - 16 = 16
so, 16 - 5 = 11
Answer:
1. 4
2. 40
3. 22
4. 21
5. 10.5
6. 4
7. 14.2
8. 6
9. 12
10. 11
Step-by-step explanation:
A shopkeeper bought articles at $4.00 a dozen and sold them at 4.50 a dozen her percentage profit was
Answer:
12.5
Step-by-step explanation:
Find the profit ( 4.50- 4) And then profit over original price multiplied by 100 ( 0.50/4×100)Please help me with this
Answer:
(x+3)² = 64
Step-by-step explanation:
(x+a)² = b
so, let's see the details of the square calculation :
x² + 2ax + a² = b
so, now we have in our problem the specific equation
x² +3x - 69 = -3x - 14
now, let's group and combine all expressions of x
x² + 6x - 69 = -14
compare to the general square equation.
x² is in both expressions. nothing else needs to be done for that part.
2ax must be equal to 6x.
=> 2a = 6
a = 3
so, our general swathe square equation turns then into
(x+3)² = b. or
x² + 6x + 3² = b
x² + 6x + 9 = b
now bring this again into our specific equation and see how we have to transform the remaining numbers to keep the equation true, and to show us b :
x² + 6x + 9 - 78 = -14 (because 9-78 is again -69)
x² + 6x + 9 = 64
=> b = 64
so, the form (x+a)²=b for our specific equation is
(x+3)² = 64
A chair rental company charges $100 for delivery plus $3 per
chair. You want to order 200 chairs for a concert. How much
will it cost?
O a. $300
O b. $600
O c. $700
O d. None of the above
above
Answer: 700
Step-by-step explanation: 3 x 200 + 100
Answer:
c.$700
Step-by-step explanation:
3x+100 3 per chair=3x plus the additional 100 dollar fee
3(200)+100
600+100
700
Solve -2x + 6 = -20. -7 -13 7 13
Answer:
13
Step-by-step explanation:
-2x + 6 = -20
Step 1 subtract 6 from both sides
6 - 6 cancels out
-20 - 6 = -26
We now have -2x = -26
Step 2 divide both sides by -2
-2x/-2 = x
-26/-2 = 13
We're left with x = 13
(x – 3) (x + 6) ayudaaaaaaaaaaa
[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\sf\purple{Step-by-step\:explanation:}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]
Let’s write the possible subsets of the following sets and list the proper subsets separately
(a)F={apple}
(b)A={1,2}
(c)E={a,b,c}
(d)T={1,2,3,4}
Step-by-step explanation:
(a) subsets are {apple}, { }
(b) subsets are {1}, {2}, {1,2}, { }
proper subsets are {1}, {2}
(c) subsets are
{a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, { }
proper subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c}
(d) subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4},{ }
proper subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4}