Answer:
t=4.9
Step-by-step explanation:
Answer:
t=4.9
Step-by-step explanation:
t-3.7=1.2
t-3.7+3.7=1.2+3.7
t=4.9
A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is the length of the pen, in feet?
Answer:
The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft
Answer:
7ft
Step-by-step explanation:
2W+2L=20
2(W+L)=20
2(W+(W+4))=20
4W+8=20
4W=12
W=3
or
If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.
7 is the length.
An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A be the event of a king on the first draw, B the event of a king on the second draw, and C the even of a king on the third draw. Describe each of the events listed below and calculate its probability.
a. A ∩ B
b. A U B
c. A ∩ B ∩ C
d. A U B U C
Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
what is the slope of the line passing through the points (2,5) and (-1,-4)? show all work.
Answer:
3
Step-by-step explanation:
[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]
S. (4 - 2x)(4 + 2x)
Answer:
16-4x^2
Step-by-step explanation:
u start multiplying them by each other .
4×4= 16
4×2x= 8x
-2x×4= -8x
-2x×2x= -4x^2
now u combine like terms
8x+-8x = 0
16-4x^2
I hope u understood.... lol
The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting?
A 9 inches
В. 12 inches
C. 13 inches
D. 18 inches
Answer:
Step-by-step explanation:
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
figure #1
smaller part
4x7x2= 56m
larger part
4x3x7= 84m
84+56= 140m³
figure #2
smaller part
2x4x3= 24m
larger part
4x4x12= 192m
192+24= 216in³
4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)
Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7
PLS HELP ME!!! FIND X
Answer:
17.5
Step-by-step explanation:
Those angles are supplementary, in other words, they add up to 180°
To solve you set the expressions up to 180:
(5x - 30) + 7x = 180
12x - 30 = 180
12x = 210
x = 17.5
1.Write an equation in point slope form given a point (-5,2) and slope 3/5
Question 2
Write an equation in slope intercept form given a slope -5 and y intercept as (0,-4)
Answer:
1. y - 2 = (3/5) (x + 5)
2. y = -5x - 4
Step-by-step explanation:
Slope form - y1 - y = m (x1 - x)
Slope intercept - y = mx + b
00:00 At the beginning of the month, Kimberly had $65.78. Since then, she has received three payments of $32.50 from her babysitting job. Kimberly's 2 sisters each helped her babysit once during the month, so Kimberly paid them each $8.75. If Kimberly did not spend any money, how much money does she have now? Enter your answer in the box.
Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. What is a linear equation that can represent the cost of buying x amount of flowers and includes the one time delivery charge? ( Y = mx + b )
Answer:
y=2x+3
Step-by-step explanation:
the 2 is the coefficient so everytime you add a new flower the amount will go up by 2 dollars and the $3 delivery fee is a one time fee so you only add it one time.
The perimeter of a triangle is 50 mm. The lengths of 2 of the sides are 13.5 mm and 14.5 mm. Find the missing length.
Find the slope of the graphed line below. Help please!
Answer:
3,4
Step-by-step explanation:
up 3 and right 4. your welcome
Which equation represents : the difference between mZCOA and mAOB in this diagram?
43°
O
Select ALL that apply
180 43
137 13
18043
180 43
Previous
Pn= 14 ao=6
Please help me
creo que es 231 en total :7-2:al 231
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?
a. P=2(t−5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P
Answer:
c. dP/dt = (1/5)P
Step-by-step explanation:
Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have
dP/dt ∝ P
dP/dt = kP
Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,
2 = k × 10
k = 2/10
k = 1/5
So, dP/dt = kP
dP/dt = (1/5)P
The option C is correct
DifferentiationThe rate of change of a function with respect to the given variable.
How to get the option?The rate of change of population with respect to time is directly proportional to the population P. We have
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP[/tex]
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t}[/tex] is 2 million insects per day and P = 10 million insects after 5 days. So
[tex]\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}[/tex]
Then
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P[/tex]
Thus, option C is correct.
More about the Differentiation link is given below.
https://brainly.com/question/24062595
What are the 4 main types of transformations?
translation
congruence
rotation
reaction
reflection
dilation (aka enlargement)
vertices
Answer:
The 4 main transformation is a translation, rotation, reflection, dilation.
Step-by-step explanation:
There are four main types of transformations: translation, rotation, reflection, and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.
are any of you in the 9th grade and good with math? 2 (x2 - 3) + x (x - 7)
Answer:
[tex]3x^{2} - 7x - 6[/tex]
Step-by-step explanation:
[tex]2x^{2} - 6 + x^{2} - 7x[/tex]
[tex]3x^{2} - 7x - 6[/tex]
integers are positive and negative whole numbers, they do not include positive and negative fractions or decimals?
true or false? help pleasee
enter the value x that makes the equation
Answer:
x=-192
Step-by-step explanation:
simplyfying we get
2/3x-4= 3/4x+12
so subratcing 2/3 on both sides we get
-4= 9x/12- 8x/12+12
subtracting 12 from both sides we get
-16= x/12
x= -192
if my answer helps please mark as brainliest
Which of these could be the value of x in the triangle below
Answer:
5
Step-by-step explanation:
Find the length of x.
a. 33.8
b. 48.3
c. 84.3
d. 72.0
Pls help will mark brainlest
Answer:
15 bags
Step-by-step explanation:
She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)
Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.
Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:
3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)
A line and a point ____ intersect
Answer: does
Step-by-step explanation:
What is the value of (0.5)^4 in a fraction
Answer:
12.5%
Step-by-step explanation:
hope it helps!!!
The sum of 3 consecutive even interfere is 258. What is the smallest number
Answer:
85 is the smallest number
what will happen to the graph if the x intercept has an even multiplicity
Answer:
Graphical Behavior of Polynomials at x-Intercepts. ... The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities.Can someone please help me with this spinner problem it contains 4 questions? I’m having a hard time on this! :(
Answer:
a) P(odd) = 1/2
b) P(multiple of 3) = 1/4
c) P(not 5, 6, 7) = 5/8
d) P(n < 4) = 3/8
Step-by-step explanation:
a) half of the numbers on the spinner are odd
b) there are 2 multiples of 3 (3 and 6)
c) not 5,6,7 means P(1,2,3,4,8) which is 5/8
d) P(n < 4) = P(1,2,3) = 3/8
Please help on this math question.
Will be marked as BRAINLEST!
Answer:
20
Step-by-step explanation:
[tex]25 \times 25 - 15 \times 15 = 400[/tex]
[tex] \sqrt{400} = 20[/tex]
Answer:
b=√400
=20
Step-by-step explanation:
15^2+b^2=25^2
225 + b^2=625
b^2=625-225
b^2=400
b=√400
b=20
In APQR, PR is extended through point R to point S, m_PQR = (2x + 1)º,
mZQRS = (10x – 10°, and mZRPQ = (3x + 14)°. What is the value of
x?
Answer:
I’m doing i-Ready and my question hasn’t been answered
Step-by-step explanation: