Answer:
B. A(r(t)) = 25πt²
Step-by-step explanation:
Find the completed question below
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Given
A(t) = πr²
r(t) = 5t
We are to evaluate the composite expression A(r(t))
A(r(t)) = A(5t)
To get A(5t), we will replace r in A(t) with 5t and simplify as shown
A(5t) = π(5t)²
A(5t) = π(25t²)
A(5t) = 25πt²
A(r(t)) = 25πt²
Hence the composite expression A(r(t)) is 25πt²
Option B is correct.
Answer:
Step-by-step explanation:
B . Correct
Edward is playing a game where he draws cards with integers on them from a deck of cards. If the integer is positive he moves forward that many steps, if the integer is negative he moves back that many steps. Edward drew the following cards: 3, -3, -4, 5, 10, -7.
Where does Edward end up in relation to where he started?
A) 4 steps behind where he started.
B) 4 steps in front of where he started.
C) 32 steps behind where he started.
D) 32 steps in front of where he started.
Answer:
B) 4 steps in front of where he started.Step-by-step explanation:
Edward drew the following cards: 3, -3, -4, 5, 10, -7
He follows the steps:
3 -3 - 4 + 5 + 10 - 7 = 4Positive 4 means 4 steps ahead
Correct option is B)
(100 points;)The area of a right triangle is 39.6 in², and the base of the triangle is 12 inches.
Which of the following values is the height of the triangle?
303 in.
1.65 in.
6.6 in.
6.1 in.
The answer is 6.6 inches
AREA OF TRIANGLE = 1/2 X BASE X HEIGHT
=> 39.6=12XH/2
=> 39.6X2=12XH
=> 79.2 = 12XH
=> 79.2/12= H
=> 6.6
Solution:
Given:
Area of right triangle = 39.6 in²Base of triangle = 12 inArea of triangle formula: 1/2 x Base x Altitude
Substitute the area and the base:
1/2 x Base x Altitude = Area of right triangle1/2 x 12 x Altitude = 39.6 in²Simplify the LHS:
1/2 x 12 x Altitude = 39.6 in² 6 x Altitude = 39.6 in²Divide 6 both sides:
(6 x Altitude)/6 = 39.6/6Altitude = 6.6 in.What percentage of total hours was spent walking?
we know the 100% or total is 50 hours, and walking was only 10 hours.
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 10&x \end{array}\implies \cfrac{50}{10}=\cfrac{100}{x}\implies 5=\cfrac{100}{x}\implies 5x=100 \\\\\\ x=\cfrac{100}{5}\implies x=20[/tex]
simplify this expression
8x-3y+3x-2y
Hey there!
In order to simplify this expression, we need to combine like terms.
Remember, like terms are terms from the same "family". not terms that you like. :)
So, the like terms here are
8x, 3x
and
-3y and -2y
Combine them:
8x-3x-3y-2y
Hence, the answer is
[tex]\boxed{\boxed{\bold{5x-5y}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if you do, please comment.
#LearningIsAlwaysFun
#KeepLearning
[tex]\rule{200}{2}[/tex]
A family is planting grass and a garden in the backyard. The rectangular backyard measures 131 ft by 52 ft. The garden measures 13 ft by 9 ft. What is the area of the backyard that will be grass?
Step-by-step explanation:
Find the area of the whole backyard: 131 x 52 square feet
Find the area of the garden: 13 x 9 square feet
hope this helps :)
Answer:
13 times 9=117
131 times 52=6812
Step-by-step explanation:
maths x=139 times 95847576564 find x
36.54 divide by 6.3
with solution please thank you so much!
Answer:
5.8
i am using calculator
Answer:
5.8
Step-by-step explanation:
36.54 ÷ 6.3 = 5.8
5.8
please help me to solve these simple math
Answer:
A.−2h
B.7j
C.ah
It's real simple
Brainly please
15% of y is 30 what equation could be used to solve
Answer:
Y= 200
Step-by-step explanation:
Just divide 30 by 0.15
Hope that helps!
Answer: y = 30/0.15
Step-by-step explanation:
First, convert 15% to a decimal by dividing by 100 to get 0.15. The word "of" in an equation means multiply, so the equation would be y*0.15 = 30. To isolate the variable you're trying to solve for, divide both sides by 0.15. The 0.15 on the left side of the equation cancels out, leaving you with a final equation of y = 30/0.15.
I need help ASAP
Steve said that [5, 12) is the interval notation that represents the set of all real numbers greater than or equal to 5 and less than 12. Joe says that (5, 12] is correct interval notation. Who is correct and justify why?
Answer:
Steve was correct in his statement.
Step-by-step explanation:
According to standard notation, opening bracket ( [tex][[/tex] ) represents the lower bound of a set so that elements of the set are equal or greater than lower bound. In addition, closure parenthesis ( [tex])[/tex] ) represents the upper bound of a set so that element of the set are less than upper bound.
In consequence, Steve was correct in his statement.
What is the factored form of 2x3 + 4x2 – x?
2 x (x squared + 2 x + 1)
x (2 x squared + 4 x + 1)
2 x (x squared + 2 x minus 1)
x (2 x squared + 4 x minus 1)
Answer:
[tex] \bf \longrightarrow \: 2 {x}^{3} + 4 {x}^{2} + x[/tex]
Taking x common
[tex] \sf \longrightarrow \: x \bigg(2 {x}^{2} + 4x + 1 \bigg)[/tex]
Therefore,
Your answer is x ( 2x² + 4x + 1 )Answer:
A. x (2x*2 + 4x + 1)
Step-by-step explanation:
someone pls answer my question for history
Answer:
yes! what is your question?
Step-by-step explanation:
Answer:
Sure what's the question
Sally, Emma and James have a total of 52 nerf toys. If James had 6 more, then he would have as many as both girls combined. Emma has three more toys than Sally. How many nerf toys do each of the three have.
(Please answer quickly it's due tomorrow morning)
Answer:
emma: 6 toys, sally: 13 toys, james: 23 toys
Step-by-step explanation:
if emma had x toys, sally would have (x-3) toys. and we know that if james had 6 more toys, he would have the same amount as both girls combined. so in this case in terms of x, james would have (x+x-3-6) toys, after simplification we get 2x-9 toys..
since we know that the three of them have 52 nerf toys as total, we can set up the equation:
x= number of toys emma has
2x-9+x+x-3=52
4x-12=52
x=16
emma has 16 toys, and sally has (16-3)=13 toys. finally, james has (2*16-9)=23 toys. 16+13+23=52
Hawaii’s Mauna Kea measures 9.754 kilometers from its base to its peak. Part of Mauna Kea lies 5.549 kilometers below the ocean. What is the height of the part of Mauna Kea that is above sea level?
a. 4.205 km
b. 4.025 km d. 3.991 km
c. 4.150 km
d. 3.991 km
Please select the best answer from the choices provided
Answer:
A 4.205Km
Step-by-step explanation:
If you subtract 9.754 - 5.549 you get 4.205.
2. Given XYZ, if XY =YZ, and Y = 22,
find Z.
Answer:
79
Step-by-step explanation:
Sum of Triangle angles is 180
180 - 22 = 158
If the sides are the equal, the base angles are equal.
So, divide 158 by 2
79
in the adjoining figure ABCD is a rhombus in which angle BAC is equal to 40 degree find angle ACB and angle abc and angle ADC and angle ACD and angle C A D
Answer:
Step-by-step explanation:
Opposite angles of a rhombus are congruent, and adjacent angles of a rhombus are supplementary.
Five students from the 90 students in your class not running for class
president will be selected to count the ballots for the vote for class
president. In how many ways can the 5 students be selected?
I
Which of the data sets shown below has a mean that is less than 28? Select all that apply.
A) 24, 31, 25, 29, 26, 21
B) 18, 33, 32, 16, 34, 29
C) 32, 31, 25, 28, 31, 27
D) 12, 41, 44, 13, 20
Answer:
The answer is 51,22,28,38,41
33,37,41,44,35, and
27,36,52,51,29
Step-by-step explanation:
On the grid below,draw the graph of y=2x-2 for values of x from -2 to 3
Answer:
x −2 −1 0 1 2
y −6 −4 −2 0 2
The graph of y=2x-2 is given in attachment and slope of given line is 2.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given equation of the line is y=2x-2
We need to draw the graph of equation y=2x-2.
We need to find values of x and y to plot the graph.
If x=-2,
then y=-6
if x=-1
then y=-4
if x=0
then y=-2
if x=1
then y=0
if x=2
then y=2
if x=3
then y=4
Hence, the graph of y=2x-2 is given in attachment and slope of given line is 2.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
pls help; What is the length of side X in the triangle below?
Answer: 8
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse is sqrt(2) times longer than the leg
You are the purchasing manager at a bakery. You need
to purchase flour and are considering two options.
Approximately how much do you save per pound by
choosing the less expensive option?
Option A: One 50-lb bag costs $21.24. You need to
purchase five bags, which adds $47.84 for shipping.
Option B: One 60-lb bag costs $22.89. You need to
purchase four bags, which adds $41.22.for shipping.
0 $0.04
0 $0.06
$0.10
$0.87
$1.65
Answer:
I got 0.87
If I got it wrong pls tell me the correct answer
HELP ME PLSSSSSSSSSSSS
Students on the baseball team and in the French club were asked how many pets they have. The results are shown. Baseball Team: 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4 French Club: 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 6 Question What is the difference of the means of the two sets of data?
Answer:
9 I believe if I did this right
Step-by-step explanation:
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4 (Add)
=24
0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 6 (Add)
=33
33-24= 9
The difference = 9 *Sorry if I'm wrong*
3. Si multiplicamos el mismo número en ambos lados de la igualdad, la igualdad permanece.
1 Propiedad de multiplicación de la igualdad
2 Propiedad Reflexiva
3 Propiedad de la suma para la igualdad
Transitiva
Escoje^
Answer:
1
Step-by-step explanation:
Helpppp ASAPS i need your help i give brainlist to the correct answer only the question 2 and 3
Answer:
1. 9
2. 25
3. No (Explanation below)
Step-by-step explanation:
1. Original PT Formula is c=√a²+b²
BUT you're looking for the leg so you now have the formula of a=√c²-b² *c being the hypotenuse
a= √ 15² - 12²
a= √ 225 - 144
a= √81
a= 9
2. 16 + 9 = 25
* you're not looking for an angle therefore you are most likely looking for the length of the side. Simply add the AD and DC together to get the answer. If you were looking for an angle it'll be 180°.
3. NO because a right angle is an angle of exactly 90°, whether it be at a corner of a square/rectangle, a triangle, or where two perpendicular lines intersect. Angle ABC is an obtuse angle as it measures more than 90°
I am not sure how to do this −(−2−5x)+(−2)=18
Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10. 5 minutes. Which inequality represents the situation? 10. 5 x Less-than-or-equal-to 33 10. 5 x < 33 10. 5 x Greater-than-or-equal-to 33 10. 5 x > 33.
The inequality represent the situtation is 10.5 + x < 33.
What is inequlaity?In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.
Given
Samuel is running a 3-mile race.
He would like to finish the race in under 33 minutes.
He has already run for 10.5 minutes.
Let, x be the number of the minutes left for the race.
The inequality represent the situtation is;
[tex]\rm Running \ time \ covered + Time \ remaining \ cover \ distance=Total\ distance\\\\10.5+x < 33[/tex]
Hence, the inequality represent the situtation is 10.5 + x < 33.
To know more about inequlaity click the link given below.
https://brainly.com/question/9404159
Jalecia solved a linear equation. Her work is in the box.
2(3x - 3) = 18
6x - 6 = 18
6x = 24
Which property did Jalecia not use to solve the equation? *
(1 Point)
Addition Property of Equality
Distributive Property
Ο Ο Ο Ο
Division Property of Equality
Subtraction Property of Equality
12
Answer:
distributive property
Step-by-step explanation:
A or 2 in this case is used to multiple each factor within the parenthesis
then jus combine like terms and solve for x
Helen buys 2 pineapples. She pays with a £5 note and gets £3.60 change. Work the cost of one pineapple.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The cost of one pineapple is £0.7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of pineapples = 2
Amount given = £5
Amount returned = £3.60
The cost of the two pineapples.
= 5 - 3.60
= £1.40
The cost of one pineapple.
= 1.40/2
= 140/200
= 14/20
= £0.7
Thus,
The cost of one pineapple is £0.7.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Please help. Will mark brainliest!
Answer:
A
Step-by-step explanation:
Expand it please
(2/7z-3/5x)2
Answer: [tex]\bold{\dfrac{4}{49}z^2-\dfrac{12}{35}xz+\dfrac{9}{25}x^2}[/tex]
Step-by-step explanation:
[tex]\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)\\\\\\=\dfrac{2}{7}z\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)-\dfrac{3}{5}x\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)\\\\\\=\dfrac{4}{49}z^2-\dfrac{6}{35}xz-\dfrac{6}{35}xz+\dfrac{9}{25}x^2\\\\\\=\dfrac{4}{49}z^2-\dfrac{12}{35}xz+\dfrac{9}{25}x^2[/tex]