Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?
A. The number of stuffed animals in Denise’s collection is multiplied by 4 each year.
B. Denise’s collection increases by 4 stuffed animals per year.
C. Denise’s collection increases by 3 stuffed animals per year.
D. Denise spends $4 per year on stuffed animals.
The statement best describes the rate of change is "Denise's collection increases by 4 stuffed animals each year".
What is rate of change ?
The rate of change is the speed at which a variable changes over a specific period of time.
According to the given question
We have
An equation a(n) = 3+4n, which describes the number of stuffed animal in Denise collection, a after n, number of years.
For the rate of change
Differentiate the given equation w.r.t n
⇒[tex]\frac{d(a(n))}{dn} =\frac{d}{dn} (3) + \frac{d}{dn} (4n)[/tex]
⇒[tex]\frac{d}{dn} a(n) = 0+ 4 =4[/tex]
⇒ the number of stuffed collection increases by 4 each year.
Hence, option B is correct.
Learn more about rate of change here:
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please help me with this equation!
you will be marked as brainliest
Answer:
A I guess according to my research.
Please help me im confused with this
Answer:
B. 33 cm^3
Step-by-step explanation:
Volume = 4/3 πr^3
4/3 times 3.14 times 2cm^3
Answer:
33.51 cm³ (closest to Answer B)
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³.
With r = 2 cm, the volume is
V = (4/3)π(2 cm)³ = 33.51 cm³ (closest to Answer B)
Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total
value of the discount?
Answer:
The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.
If a box is 16 feet by 12 feet wide how wide of a picture frame could be put inside it of it diagonally
Answer:
192
Step-by-step explanation:
16×12
if it is 16 wide then we shall multiply by 12
Which ordered pair is a solution of this equation y = 80 – 8x?
Answer:
y = -8x + 80 This is the way I found the answer
Solve.
-2} -(-5) = 0
를
Answer:
[tex] - 2 \frac{1}{3} - ( - 5) \\ = - \frac{7}{3} + 5 \\ = \frac{8}{3} \\ = 2 \frac{2}{3} [/tex]
What is the missing number of n-9.01=3.84
Answer:
12.85
Step-by-step explanation:
Answer:
n = 12.85
Step-by-step explanation:
n - 9.01 = 3.84 --> add 9.01 to both sides
n = 12.85
help!! don’t know how to do it
Answer:
cot(x) + sec(x)
Step-by-step explanation:
[tex]\frac{(cos(x)+tan(x))}{sin(x)} \\\\\csc(x) = \frac{1}{sin(x)} \\\\csc(cos(x)+tan(x))\\\\(csc(x))(cos(x))= cot(x)\\\\(csc(x))(tan(x))=sec(x)\\[/tex]
Therefore, the expression equivalent to [tex]\frac{(cos(x)+tan(x))}{sin(x)}[/tex] is cot(x) + sec(x).
Anya wanted a book that cost $34.99 regularly at the bookstore. If Anya had a coupon for 20% off any regularly priced item at the bookstore , what is the sale price of the book?
A) $14.99
B.$27.99
C.$32.99
D.$34.99
ILL GIVE BRAINLIEST FOR 2 OR 1 RESPONSE WITH AN EXPLANATION :’)
Answer:
$27.99
Step-by-step explanation:
34.99*.20 = 6.998
34.99-6.998 = 27.992
the answer rounded would be $27.99
Hope this helps
En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.
Answer:
A) 140
B) 75
C) 80
D) 20
E) 80
Step-by-step explanation:
Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.
Comenzamos nombrando cada círculo:
E= personas que usan máquinas eléctricas
M= personas que usan máquinas mecánicas
C = personas que usan computadoras.
- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.
- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.
- En la intersección entre M y C restamos:
25-20=5
Entonces colocamos este 5 en esa región.
- En la intersección entre E y C restamos:
35-20=15
Entonces colocamos este 15 en esa región.
- En la intersección entre E y M restamos:
40-20=20
Entonces colocamos este 20 en esa región.
- En la región de E restamos:
110-20-20-15=55
Entonces colocamos este 55 en esa región.
- En la región de M restamos:
50-20-20-5=5
Entonces colocamos este 5 en esa región.
- En la región de C restamos:
60-15-20-5=20
Entonces colocamos este 20 en esa región.
Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)
Y ahora ya lo podemos usar para responder a las preguntas:
A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:
55+20+5+60=140
B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:
55+20=75
C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C
55+20+5=80
D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C
20
E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:
20´60=80
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer is:
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Write an equation for the line that has a slope of 1/2 and passes though the point (-2, 5)
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = 1/2x + b
5 = 1/2(-2) + b
5 = -1 + b
6 = b
-3x+6>12
need help with this one number line
Answer:
x <-2
Step-by-step explanation:
-3x+6>12
Subtract 6 from each side
-3x+6-6>12-6
-3x> 6
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 6/-3
x <-2
Which answer choice correctly names the circle?
Answer:
Step-by-step explanation:
Is their suppposed to be a pic
i need help please i have alot of problems on math and i was hoping you all can help me and explain it to me
3. Which number is the largest?
(A) 0,56
(B) a half C) 0.0599 (D) 0,09 (E) a half
Answer:
A) 0,56
Step-by-step explanation:
a half=0,5
0,56>0,5>0,09>0,0599
set costs $30 before a 30% discount
Answer:
$39
Step-by-step explanation:
Answer:
Set costs $21 after discount
Step-by-step explanation:
$30 = 100%
$x = 100% - 30% = 70%
70% = 0.7
30(0.7) = 21
$21
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Will give brainliest to correct answer
Answer:
Step-by-step explanation:
here you go.
Mrs. Jones bought 120 eggs. She used 2/3of them for baking cakes. She used 1/4 of the remainder for baking cookies. How many eggs did she have left
Answer: 30 eggs
Step-by-step explanation:
Given
Mrs. Jones bought 120 eggs
She used two-third for baking cakes i.e.
[tex]\Rightarrow 120\times \dfrac{2}{3}=80\ \text{eggs}[/tex]
Remaining eggs are [tex]120-80=40\ \text{eggs}[/tex]
She used on-fourth of the remaining for baking cookies i.e.
[tex]\Rightarrow 40\times \dfrac{1}{4}=10\ \text{eggs}[/tex]
Eggs left after baking cookies
[tex]\Rightarrow 40-10=30\ \text{eggs}[/tex]
She is left with 30 eggs
Please help I will give brainliest
Answer:
[tex] {z}^{ \frac{ - 1 + 5}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{ \frac{4}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{2 - \frac{1}{3} } \\ {z}^{ \frac{6 - 1}{3} } \\ {z}^{ \frac{5}{3} } [/tex]
Determine whether the relationship is a function or not. Explain why
why not!
Answer:
It is not a function because as seen through the mapping diagram, 14 is paired with more than one output. Hence, it is not a function because a function occurs when an input is paired with one, and only one output.
Step-by-step explanation:
hope this helps and is right. p.s i really need brainliest :)
Can someone help me with this
Answer:
30 I N
Step-by-step explanation:
What's the volume to this prism?
Answer:
36 cubic inch
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
[tex]V=whl[/tex]
----------------------------------------------------------------------------------------------------------------
So:
6 × 3 × 2 = 36
----------------------------------------------------------------------------------------------------------------
Have a good day :)
Use the Distributive Property to simplify the expression 5(7x + 4).
5 (7x+4)
Answer:
35x + 20
Step-by-step explanation:
5 * 7x
and
5 * 4
then combine them with a plus sign
Answer:
35x + 20
Step-by-step explanation:
Distribute: 5(7x + 4)
5 • 7x = 35x
5 • 4 = 20
35x + 20
Hope this helps, good luck! :)
heyy please help with this question - i'll give brainliest :))
Answer:
B. 147 cm2
Step-by-step explanation:
What is the volume of a cone with a diameter of 20 inches and height of 25 inches?
Answer:
7853.98163in³
Step-by-step explanation:
V=
π
d
2
2
h
=
π
20
2
2
25
≈
7853.98163in³
Which of the following is a solution of y - x>-3?
O (62)
O (2,6)
O (2,-1)
Answer:
the ordered pair (2, 6) is the answer
Step-by-step explanation:
y - x > -3
you can use substitution for each option:
2 - 6 > -3 False, -4 is not > -3
6 - 2 > -3 True, 4 is not > -3
-1 - 2 > -3 False, -3 is not > -3
evaluate -y + (-z) +7.99 where y = 1.46 and z = 3.82
Answer:
Remove parentheses. −y−z+7.99
Evaluate y , then set it equal to 1.46.
=1.46
Evaluate z , then set it equal to 3.82.
=3.82
List all of the solutions.
−y−z+7.99=−y−z+7.99
y=1.46==1.46
z=3.82==3.82
Step-by-step explanation:
Pam needs to spend less than $40 on her school supplies. She spends $12 on a
new calculator and wants to buy 7 binders. Write an inequality to model this
situation. Create a variable to represent unknown information. *
Answer:
(40-12)-(x·7)
Step-by-step explanation:
x is the price foreach of the 7 binders