Answer:
Dina swam for 37 minutes
Step-by-step explanation:
Dina started swimming at 3:38 p.m
There are 60 minutes in a hour so 60 - 38 = 22
22 is the remaining time in the hour she swam
She swam until 4:15 p.m.
She swam 15 minutes pass the hour
Total Time: 22 minutes + 15 minutes = 37 minutes
If y varies jointly with x and z, and y = 200 when x = 8 and z = 10, what is x when y = 165 and z = 11? what is the value of k? 250 160 5.2 2.5
The value of x is 6 and the value of k is 2.5. The correct option is the last option - 2.5
VariationFrom the question, we are to determine the value of k, that is, the constant of proportionality
From the given information,
y varies jointly with x and z
Mathematically, this can be written as
y ∝ xz
Then, introducing the constant of proportionality, k, we get
y = kxz
Also, from the given information
y = 200 when x = 8 and z = 10
Putting these values into the equation, we get
200 = k × 8 × 10
200 = 80k
∴ k = 200/80
k = 2.5
Now, for the value of x when y = 165 and z = 11
Using the equation
y = kxz
Then, put the parameters into the equation
165 = 2.5 × x × 11
165 = 27.5x
∴ x = 165 / 27.5
x = 6
Hence, the value of x is 6 and the value of k is 2.5. The correct option is the last option - 2.5
Learn more on Variation here: https://brainly.com/question/4598828
#SPJ4
Answer: 2.5
Step-by-step explanation: I did the quiz
please help me thank you if you do
2 2/3 of a fraction
________________
2 full and 2/3
- Jackson
log^2 8 = 3 in exponent form
Answer:
2³ = 8
Step-by-step explanation:
㏒ₐ ᵇ = ⁿ ⇔ aⁿ = b
What is the solution to the following equation?
-3+x=-8
A. X-11
OB. x=-11
OC. x=5
D. x=-5
Answer:
x = -5
Step-by-step explanation:
-3+x = -8
Add 3 to each side to isolate x
-3+x+3 = -8+3
x = -5
Suppose that you have 8 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.
Your question is Incomplete. Please read below for the missing content.
Total cards = 8 + 5 = 13
The selections are being made with replacement. Hence,
a) P(G1 and G2) = P(G1)*P(G2) = (8/13)*(8/13) = 0.3787
b) P(Atleast 1 green) = 1 - P(No green) = 1 - (5/13)*(5/13) = 0.8521
c) P(G2 | G1) = P(G2) = 8/13 = 0.6154
What is the probability of replacement?
Probability with replacement is used for questions where the outcomes are back again to the sample space again. which means that when the object is selected, then its miles changed and returned to the sample space, so the range of elements of the sample space remains unchanged.
Conclusion: The chance of two consecutive attracts without a replacement from a deck of playing cards is calculated because the range of viable successes over the variety of viable results, is expanded together for each case. accordingly, for the primary ace, there may be a 4/52 possibility and for the second there is a 3/51 probability.
Suppose that you have 8 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards with replacements. Round your answers to four decimal places.
G1 = the first card drawn is green
G2 = the second card drawn is green
a. P(G1 and G2) =
b. P(At least 1 green) =
c. P(G2|G1) =
Learn more about Probability here https://brainly.com/question/24756209
#SPJ2
Pls help!
Simplify sin θ/√1-sin^2 θ
A) tan Θ
B) tan^2 Θ
C) 1
D) -1
Answer:
hope this will help you ( ◜‿◝ )♡
Step-by-step explanation:
[tex] \frac{ \sin(theta) }{ \sqrt{1 - \sin {}^{2} ( theta) } } \\ \frac{ \sin(theta) }{ \cos(theta) } \\ \tan(theta) [/tex]
Susie is thinking about changing her auto insurance policy at fret-no-more auto insurance. her current policy includes the following options: $50/100,000 limit for bodily injury, $25,000 limit for property damage, $250 deductible for collision, and $50 deductible for comprehensive. which of the following changes would increase susie’s limits the most without increasing her monthly premium by more than $5.00? fret-no-more auto insurance type of insurance coverage coverage limits annual premiums bodily injury $25/50,000 $21.35 $50/100,000 $32.78 $100/300,000 $42.10 property damage $25,000 $115.50 $50,000 $142.44 $100,000 $193.78 collision $100 deductible $490.25 $250 deductible $343.33 $500 deductible $248.08 comprehensive $50 deductible $105.79 $100 deductible $88.23 a. increase coverage on bodily injury to $100/300,000. b. increase coverage on property damage to $50,000. c. increase coverage on bodily injury to $100/300,000 and on property damage to $50,000. d. increase coverage on bodily injury to $100/300,000 and on property damage to $100,000.
The change that would increase Susie’s limits is C. increase coverage on bodily injury to $100/300,000 and on property damage to $50,000.
What is an insurance?It should be noted that an insurance simply means a form of risk reduction that is taken regarding an asset.
In this case, the change that would increase Susie’s limits is to increase coverage on bodily injury to $100/300,000 and on property damage to $50,000.
Learn more about insurance on:
https://brainly.com/question/25855858
#SPJ4
Geometry
A cylinder has a diameter of 14
centimeters and a volume of 11211
cubic centimeters. What is the height,
in centimeters, of the cylinder?
Answer:
72.828
Step-by-step explanation:
h=V
π(d
2)2=11211
π·(14
2)2≈72.828
In the last 10 presidential elections, the democratic candidate has won six times in Michigan and four times in Ohio. What is the probability that the democratic candidate wins both Michigan and Ohio in the next presidential election?
0.24 is the probability that the democratic candidate wins both Michigan and Ohio in the next presidential election
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
In the last 10 presidential elections, the democratic candidate has won six times in Michigan and four times in Ohio
We need to find the probability of that the democratic candidate wins both Michigan and Ohio in the next presidential election
As 6 wons from Michigan out of 10, so it 6/10
4 wons from Ohio out of 10, so it 4/10
The probability is 6/10/×4/10
24/100=0.24
In the next year also democratic candidate wons then the probabiltiy will be same 0.24
Hence 0.24 is the probability that the democratic candidate wins both Michigan and Ohio in the next presidential election
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
I need a answer quick!
Answer: The answer for 16 is -6 and 3
The answer for 18 is -9 and -4
x^2 + 3x - 18 = 0
(x + 6) (x - 3) = 0
x^2 + 13x + 36
(x + 9) (x + 4) = 0
John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 2),
C(1, -4) and D(-3, -2). What is the area of the space that cities enclose? Round your
answer to the nearest whole number. Do not include units in your answer.
Answer:
30
Step-by-step explanation:
Find the number of sample outcomes that are common to the two events.
Answer:
The event space is the number of outcomes in the event you are interested in. The event space for rolling a number less than three is 1 or 2. So the size of the event space is 2. For equally likely outcomes, the probability of an event E can be written P(E).
The number of sample outcomes that are common to the two events would depend on the specific events and the information provided about their sample spaces.
To find the number of sample outcomes that are common to two events, we need to determine the intersection of the two events. The intersection represents the outcomes that satisfy both events simultaneously.
If we know the number of sample outcomes for each individual event, we can find the number of outcomes that are common to both events by finding the smaller of the two numbers.
For example, let's say event A has 50 possible outcomes and event B has 30 possible outcomes. The number of sample outcomes that are common to both events would be the smaller of the two, which is 30 in this case.
Therefore, the number of sample outcomes that are common to the two events would depend on the specific events and the information provided about their sample spaces.
To know more about sample outcomes:
https://brainly.com/question/30411309
#SPJ2
I need the formula for this graph
Answer:
y=[tex]\frac{1}{12} x+\frac{1}{4}[/tex]
Step-by-step explanation:
The art club raised \$248$248dollar sign, 248 through fundraisers. Then they spent \$206$206dollar sign, 206 to set up an art show. They raised another \$316$316dollar sign, 316 at the art show. How much money did the art club have after the show
Considering the amount they raised and the amount they spent, it is found that the art club had $358 after the show.
How to find the net amount of the art club?The net amount is found by the subtraction of the amount raised by the amount spent.
In this problem:
The amount raised, in dollars, is of 248 + 316 = 564.The amount spent is of $206.Then:
A = 564 - 206 = $358.
The art club had $358 after the show.
More can be learned about net amount had https://brainly.com/question/12371230
#SPJ1
( multiplying matrixes please help) Find the product of the following two
matrices.
[tex]\left[\begin{array}{cc}1&3\\0&-2& \end{array}\right] \begin{bmatrix} 3& 1&-1& 0 \\ -1& 0&3&-1\end{bmatrix}\\\\\\=\begin{bmatrix} 3-3& 1+0&-1+9&0-3\\ 0+2&0-0&0-6&0+2\end{bmatrix}\\\\\\=\begin{bmatrix} 0&1&8&-3\\2&0&-6&2\end{bmatrix}[/tex]
Which translations of the pentagon below will result in a diagram of the pentagon and its image with line symmetry?
i) L6
ii) D5
iii) R2
iv) U3
Answer:
iii) R2
Step-by-step explanation:
Can someone please answer this by today
Volume of cylinder Radius 3.5 Height 3.5
Answer:
I think the volume is 538.51 in^3.
Step-by-step explanation:
I have tried my hardest sorry if i am wrong
Pls help max Point + brainliest
Determine which set has the greatest Radius. Several cylinders are separated into 4 sets. The cylinders with the same radius are in the same set. The graph of the equations represents the volume of each set of cylinders as they are being filled with water.
o Set 1
o Set 2
o Set 3
o Set 4
So it's volume vs water filled graph
Higher the volume higher the radiusFor this y should be highest
Observe all 4
In set 1
The line is more stepped towards y axis means y is higherSo set 1 has highest volume
Hence it has greatest radius
When developing functions a, b, and c, the studio restricted the domain of each function to the interval [0, 10). What are
some possible reasons for restricting the domain in this way?
Answer: The domain wouldn’t include negative because it’s not possible to backward in time. The studio might limit the domain to numbers less than or equal to 10 because for x > 10 the number of views is unrealistically big. Also, viral marking slow after a while so the functions may not fit the data as well after 10 days.
Answer:
The answer above is the exact same as on edmentum that the teacher put, just so you know.
A rectangle portrait is 6 feet wide and 4 feet high. What is its perimeter?
Answer:
20 feet
Step-by-step explanation:
Perimeter :
2(height + width)2(4 + 6)2(10)20 feetRewrite the following polynomial in standard form. - 10 - 9x2 +x
Answer:
-9x² + x - 10
Step-by-step explanation:
To write in a standart form, variables go in an alphabetical order, from highest to lowest exponent. The last thing to write is a number by itself (ex. 10)
I need to figure out on how to do this, please help me
Answer:
Q = 108°
R = 72°
Step-by-step explanation:
Quadrilateral means this is a four-sided shape. Parallelogram means that both sets of opposite side are parallel, so all the angles are either equal or add up to 180° (supplementary)
The order of the letters matters bc PQRS means that you go along an edge from P to Q, but you have to go thru the middle of the shape to get from P to R. So P and Q add up to 180°.
P + Q = 180°
72° + Q = 180°
Q = 108°
Opposite from each other, across the middle of the shape, P and R are equal.
P = R = 72°
Hey guys! Sorry to bother but I need help with these. 5th grade math, will give brainliest! (If you see multiple questions by me that look the same, they are all different.)
Answer:
Question seven is 14, Question 8 is 16
Step-by-step explanation:
hoped this helped
A rectangular courtyard has a length of 16 m and a width of 10 m. Find the perimeter of the rectangle defined by this courtyard. In other words, what is the length of the fence required to encompass the courtyard?
Answer:
26^2 meters
Step-by-step explanation:
l + b
16 + 10
= 26m×2
I need help ASAP with this pyramid scale factor question!
Answer:
C
Step-by-step explanation:
because 14 is 7 x 2 the scale factor from the small pyramid to the big pyramid would be 1/2
Answer:
(b) 1/8
Step-by-step explanation:
You want the ratio of the volume of the small pyramid to that of the larger one, given their base lengths are 7 and 14 units.
Scale factorThe pyramids are presumed to be similar, so the ratio of the sides given is also the ratio of the unmarked sides and the heights. The volume ratio is the cube of this ratio of side lengths:
smaller/larger sides = 7/14 = 1/2
smaller/larger volumes = (1/2)³ = 1/8
The ratio of the volume of the small pyramid to the larger is 1/8.
<95141404393>
what’s the area and perimeter for this problem?
Answer:
area: 1.9×0.75÷2
0.7125
perimeter: 2+0.75+2.25
5
Rick went on a hike with his family in Big Bend National Park. During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.
Rick has a pet snake, so he was most excited to see the snakes. What percent of the animals were snakes?
10 per cent of the animals were snakes in the given question.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.What per cent of the animals were snakes.The percentage will be calculated as:=
Snake percentage = ( 2 / 20 ) x 100 = 0.1 x 100 = 10 %
Therefore, 10 per cent of the animals were snakes in the given question.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ1
PLS HElp answer is below give me a answer for each one and a complete sentence pls il give brainiest and 5 stars
Answer:
1. She should use Length x Width x Height.
2. The unit of the answer is 30.
3. The volume of the box is 30 units.
Help me , it is 50 point
Answer:
a) 52.0 cm
b) 62.8 cm
c) 114.8 cm
Conversion:
120° = 2π/3 radians
(a) Find Length of chord PR;
⇒ 2(radius)sin(θ/2)
⇒ 2(30)sin((2π/3)/2)
⇒ 2(30)sin((2(3.142)/3)/2)
⇒ 30√3
⇒ 52.0 cm
(b) Find Length of arc PQR;
⇒ radius(θ)
⇒ 30(2π/3)
⇒ 30(2(3.142)/3)
⇒ 62.8 cm
(c) The perimeter of shaded region;
⇒ Length of chord + Length of arc
⇒ 62.84 + 51.965
⇒ 114.8 cm
Answer:
(a) 52.0 cm
(b) 62.8 cm
(c) 115 cm
Step-by-step explanation:
Part (a)
[tex]\textsf{Chord length}=2r \sin \left(\dfrac{\theta}{2}\right)[/tex]
where:
r = radius[tex]\theta[/tex] = central angle (measured in degrees)Given:
r = 30 cm[tex]\theta[/tex] = 120°chord = PRSubstitute the given values into the formula:
[tex]\begin{aligned}\implies PR & =2(30)\sin \left(\dfrac{120^{\circ}}{2}\right)\\\\& = 30\sqrt{3}\\\\ & = 52.0\:\sf cm\:(3\:sf)\end{aligned}[/tex]
Part (b)
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad[/tex]
where:
r = radius[tex]\theta[/tex] = central angle (measured in degrees)Given:
r = 30 cm[tex]\theta[/tex] = 120°arc = PQR[tex]\pi[/tex] = 3.142Substitute the given values into the formula:
[tex]\begin{aligned}\implies PQR & =2 (3.142)(30)\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \quad\\\\ & = \dfrac{1571}{25}\\\\ & = 62.8 \sf \:\:cm \:(3 \:sf)\end{aligned}[/tex]
Part (c)
[tex]\begin{aligned}\textsf{Perimeter of shaded portion} & = \textsf{chord length} + \textsf{arc length}\\\\ & = 30\sqrt{3}+\dfrac{1571}{25}\\\\ & = 114.80152...\\\\ & = 115\:\: \sf cm\:(3\:sf)\end{aligned}[/tex]
