Replace c with 3:
3^5 = 3 x 3 x 3 x 3 x 3 = 243
The answer is 243
Answer:
15
Step-by-step explanation:
c5
3(5)
3 x 5
15
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.
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
Elsa uses exactly 60 cubes of ice to build a rectangular ice prism. Each cube has side lengths of 1 unit. Enter the dimensions of the rectangular ice prism below assuming that none of the sides can have a length of 10 units. Your answer should be typed like this with the numbers going from smallest to largest: 1, 2, 3 *
Answer:
2, 5, 6
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where all variables to the right are dimensions of the prism.
Therefore, we're looking for three numbers that multiply to be 60.
Since the question stipulates that no side length may be 10, we have:
[tex]2\cdot 5\cdot 6=60[/tex]
13.The property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is
Answer:
Associative property of multiplication
Step-by-step explanation:
Associative property of multiplication is one of the properties used to solve mathematical questions
This is given by the formula
a × (b × c) = (a × b) × c
Therefore based on the above explanation, the property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is called the Associative property of multiplication
7. What is the domain (the first element or number, from each palr) of this relation:
{(4,1), (5,2), (6,-1), (8,5)}
*
O {4,5,6,8)
O {4,5,6)
O{1, 2,-1,5)
O {4,-1,5,2)
En un triangulo rectangulo,la hipotenusa mide 10 cm y un cateto mide 8 ¿Cual es el valor del otro cateto ?
Respuesta:
6 cm
Explicación paso a paso:
Paso 1: Información provista
Longitud de la hipotenusa (h): 10 cm
Longitud del cateto 1 (c₁): 8 cm
Paso 2: Calcular la longitud del cateto 2 (c₂)
Tenemos un triángulo rectángulo, es decir, que uno de sus ángulos es 90°. Conociendo la hipotenusa y uno de los catetos, podemos determinar la longitud del otro cateto usando el Teorema de Pitágoras.
h² = c₁² + c₂²
c₂² = h² - c₁²
c₂ = √(h² - c₁²)
c₂ = √((10 cm)² - (8 cm)²) = 6 cm
What is the slope of the line that passes through the points (-4,-4) and (-4,9)? Write answer in simplest form and explain how you got it.
(Answer as soon as you can please)
line a is perpendicular to B.
if the slope of line A is -3/4 what is the line of B
Step-by-step explanation:
line a is perpendicular to B.
if the slope of line A is -3/4 what is the line of B
can someone please explain how to complete this thanks
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
Help is needed please..
Answr 2.(1.3)^x
Step-by-step explanation:
A shopkeeper allows 20 % discount on the marked price of an article and 10 % VAT is leavied on it . If a customer pays Rs 5000 for VAT them find the discount amount.
Answer:
Rs 12,500
Step-by-step explanation:
the price before VAT = 100/10 × Rs 5000 =
Rs 50,000
the price before discount = 50,000 / 80%
= 50,000/0.8 = 62,500
so the discount amount = 62,500-50,000
= Rs 12,500
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.
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
Please help me with the screenshot question
Answer:
owner withdrawal
1.225000
2.3300
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
hii i would like help for the question
Answer:
I have the same doubt so pls answer
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]
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
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
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.)
Please help thank you!
Answer:
10
Step-by-step explanation:
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
Answer pleaseeeeee!!!
Answer:
The answer is option C
Which term is a perfect square of the root 3x^4
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.
determine the range of the capacity of these dams
Answer:
100 ldnncncbhggtix znzhkgzgjtuustashsh
Can someone help me solve this Algebraic Equation please?
x^1/2 + 3x^-1/2 = 10x^-3/2
Answer:
x=2
Step-by-step explanation:
what is the correct answer
Answer:
below
sin30 = x/8
x = 8 *sin30
x = 4
option A is Correct
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.