Answer:
-9 and -2Step-by-step explanation:
As,
Sum = - 9 + (-2) = -11
Product = -9 × (-2) = 18
A man stands on top of a mountain, at the bottom of the mountain the velocity of the man is 12m/s, how tall is the mountain
Answer:
the height of the mountain is 7.35 m
Step-by-step explanation:
Given;
final velocity of the man, v = 12 m/s
initial velocity of the man, u = 0
The height of the mountain is calculated as;
v² = u² + 2gh
v² = 0 + 2gh
v² = 2gh
h = v²/2g
h = (12)² / (2 x 9.8)
h = 7.35 m
Therefore, the height of the mountain is 7.35 m
Canada has a population of about 32 million. The population of the United States is 10 times larger. How many people live in the United States? Explain the number of zeros in your answer.
Answer:
People live in the U.S. = 320000000
Step-by-step explanation:
Below is the calculation of a number of people who live in the United States.
Since it is given that the population of the U.S is 10 times larger than Canada's population. So, multiply the Canadas population by 10 in order to get the U.S. population.
Canada population = 32 million or 32000000
Thus the U.S. population = 32000000 x 10 = 320000000
Jack and Jill both ordered pizzas from Wayne's Pizza for their parties. Jack paid $58.50 for 3 pepperoni pizzas and 2 plain pizzas. Jill paid $67 for two pepperoni pizzas and 4 plain pizzas. How much does Wayne's Pizza charge for a plain and for a pepperoni pizzas?
Answer:
A plain pizza is $10.50 and a pepperoni pizza is $12.50
Step-by-step explanation:
Create a system of equations where x is the price of a pepperoni pizza and y is the price of a plain pizza:
3x + 2y = 58.5
2x + 4y = 67
Solve by elimination by multiplying the top equation by -2:
-6x - 4y = -117
2x + 4y = 67
Add these together and solve for x:
-4x = -50
x = 12.5
So, a pepperoni pizza is $12.50. Plug in 12.5 as x into one of the equations, and solve for y:
2x + 4y = 67
2(12.5) + 4y = 67
25 + 4y = 67
4y = 42
y = 10.5
So, a plain pizza is $10.50.
A plain pizza is $10.50 and a pepperoni pizza is $12.50
What is the area of the polygon enter your answer in the box
43.5 units2
45.5 units2
56.5 units2
49.5 units2
Answer:
Option (1)
Step-by-step explanation:
Area of the polygon = Area of CDE + Area of EFG + Area of ABCF
Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(2)[/tex]
= 3 units²
Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]
= 2.5 units²
Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
= [tex]\frac{1}{2}(8+11)(4)[/tex]
= 38 units²
Area of the given polygon = 3 + 2.5 + 38
= 43.5 units²
Therefore, Option (1) will be the correct option.
Please help me with the screenshot question
Answer:
owner withdrawal
1.225000
2.3300
please help with question!
Answer:
Step-by-step explanation:
Pls help me no files just type it in thank yiu>333<33
Answer:
[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
You don't need to add the denominators just add the numerators
7/12
Denomenater is same so u can just add it
thank you
Which term is a perfect square of the root 3x^4
What can happen when excessive (too many trace elements are lost from
the body?
Answer:
im not sure but
Step-by-step explanation:
Deficiency of major elements can lead to nutritional disorders, and their presence in excess can cause obesity. Deficiencies or excess states of semi-major elements often result in water and electrolyte abnormalities
Please help thank you!
Answer:
10
Step-by-step explanation:
The slope of line m is 3/8. Line n is perpendicular to line m. What is the slope of line n?
Answer:
- [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]
hii i would like help for the question
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
I need a little help what measurement is closest to the area of Nevada in square miles?
Answer:
110,050
Step-by-step explanation:
You have a rectangle at the top with a w of 310 and a l of 210 = 65,100
The triangle has a height of 290 and a base of 310 = 44,950
Answer pleaseeeeee!!!
Answer:
The answer is option C
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8). What is the corresponding quadratic expression? A. 2x2 − 16x + 24 B. -2x2 + 16x – 24 C. -2x2 - 16x + 24 D. -x2 − 16x + 12 E. -x2 − 16x – 24
Given:
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).
To find:
The corresponding quadratic expression.
Solution:
If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.
A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.
The function is defined as:
[tex]P(x)=a(x-2)(x-6)[/tex] ...(i)
Where, a is a constant.
The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.
Substituting x=4 and P(x)=8 in (i).
[tex]8=a(4-2)(4-6)[/tex]
[tex]8=a(2)(-2)[/tex]
[tex]8=-4a[/tex]
Divide both sides by -4.
[tex]\dfrac{8}{-4}=a[/tex]
[tex]-2=a[/tex]
Putting [tex]a=-2[/tex] in (i), we get
[tex]P(x)=-2(x-2)(x-6)[/tex]
[tex]P(x)=-2(x^2-6x-2x+12)[/tex]
[tex]P(x)=-2(x^2-8x+12)[/tex]
[tex]P(x)=-2x^2+16x-24[/tex]
Therefore, the correct option is B.
What is the answer to 4/5 of 30?
Answer:
24
Step-by-step explanation:
[4 / 5 ] * 30 = 24
Answer:
24
Step-by-step explanation:
To get the answer you have to multiply the 4/5 x 30 to get the answer
A shop window is 6 meters long and has an area of 18m².What is the height of the window
Answer:
3 meters
Step-by-step explanation:
Assuming the window is rectangular
A = l*h
18 = 6*h
Divide each side by 6
18/6 = 6h/6
3 = h
URGENT SOMEBODY PLZ HELP
First one is B (43) and the second one is C (35)!
what is the correct answer
Answer:
below
sin30 = x/8
x = 8 *sin30
x = 4
option A is Correct
Caio comprou uma lembrancinha para todos os seus amigos e gastou R$12,50. Qual fração pode representar esse valor? 125/2 25/5 125/5 25/2
Answer:
$ 12.50 = $ 25/2
Step-by-step explanation:
Money spent = $ 12.50
To convert the amount in fractions
[tex]12.50\\\\=\frac{1250}{100}\\\\=\frac{125}{10}\\\\=\frac{25}{2}[/tex]
So, the correct option is $25/2
Help is needed please..
Answr 2.(1.3)^x
Step-by-step explanation:
Which ordered pair is a solution to the system of inequalities graphed here?
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If you plot the point (1, 4), you see that the ordered pair falls in the shaded area bounded by the lines. The other ordered pairs fall outside of the shaded area.
what is the mode of the data set 8, 8, 9, 10, 11
Answer:
the 'mode' of 8, 8, 9, 10, 11 is 8
Step-by-step explanation:
The 'mode' of a data set is the value that shows up most. Note how 8 shows up twice here, whereas 9, 10 and 11 show up only once each.
Thus, the 'mode' of 8, 8, 9, 10, 11 is 8.
We are collecting bananas. Alf has 4 times as many as Jim, and Jim has three times as many as Sid. Altogether they have 192. How many does Sid exactly have?
Answer:
12 bananas
Step-by-step explanation:
We are collecting bananas.
Lets represent, the number of bananas collected by:
Alf = x
Jim = y
Sid = z
Jim has three times as many as Sid.
y = 3z
Alf has 4 times as many as Jim
x = 4y
x = 4 × 3z
x = 12z
Altogether they have 192.
x + y + z = 192..... Equation 1
We substitute
3z for y and 12z fox x in Equation 1
12z + 3z + z = 192
16z = 192
z = 192/16
z = 12
Therefore, since, the number of bananas Sid collected = z
Hence, Sid has 12 bananas exactly
santa has 300 he share. 1/5 3/10 50.00 he bank the rest what fraction did he bank
Answer:
1/6
Step-by-step explanation:
$50 is 1/6 of $300
(I think this is what you meant. The question was kind of confusing.)
determine the range of the capacity of these dams
Answer:
100 ldnncncbhggtix znzhkgzgjtuustashsh
Given the triangle below, what is m B, rounded to the nearest tenth?
Answer:
82.8
Step-by-step explanation:
LAW OF COSINES
b^2 = a^2 + c^2 − 2ac cos(b) formula
12^2 = 10^2 + 8^2 - 2(10)(8) cos (b) substitute and calculate
144 = 100 + 64 - 160 cos (b) add like terms
144 = 164-160 cos (b) subtract 164
- 20 = -160 cos (b) divide by -160/reduce
1/8 = cos (b) inverse cos each side
b = 82.8
What is the diameter?
Answer:
16 inches
Step-by-step explanation:
c = πd
50.26 = 3.14 * d
Divide both sides by 3.14
d = 16.0
16 inches
Answer:
The diameter is 16 inches
hey, please help. thank you
Answer:
SAS
Step-by-step explanation:
pretty sure since the angle z is connected to both right triangles the sides become congruent.
What is the answer meyn?
Answer:
the best value is two 50 ml bottles
Step-by-step explanation:
Okay focus with me , if you buy a bottle of 50 ml you will get a second for half price so we can say that --> 2 bottles of 50 ml =
[tex]45 + \frac{45}{2} = 67.5[/tex]
We get 100 ml with £67.5 just , but when you buy 80ml you must pay £55 Hum !
then you can dived the volume of bottle with price ...
the price of one ml is 0.675 in first State[tex] \frac{67.5}{100 } = 0.675[/tex]
in the second state the price of one ml is[tex] \frac{55}{80} = 0.6875[/tex]
then :
[tex]0.675 < 0.6875[/tex]
so the best value is two 50 ml bottles