Answer: Dimension of pool are length = 12 feet, width = 54 feet and depth = 6 feet.
Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was 451 calories, and had 252
calories of fat. What percent of the total calories in each brownie comes from fat?
The percent of the total calories in each brownie comes from fat will be;
⇒ 35.84%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The wrapper said each brownie was 451 calories, and had 252 calories of fat.
Now,
Since, The wrapper said each brownie was 451 calories, and had 252
calories of fat.
Hence, Total calories = 451 + 252
= 703 calories
And, The calories of fat = 252 calories
Thus, The percent of the total calories in each brownie comes from fat is find as;
⇒ Percent = 252/703 × 100
= 35.84%
Therefore, The percent = 35.84%
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A Survivorship Life Insurance Plan insures how many people under one plan?
More than three
One
Three
Two
A single survivorship life insurance policy can provide coverage for up to two persons.
What is meant by Life Insurance Plan?A contract between an insurance policy holder and an insurer or assurer in which the insurer agrees to pay a specified beneficiary a certain amount of money upon the death of an insured person is known as life insurance (or life assurance, particularly in the Commonwealth of Nations) (often the policyholder). Other occurrences, such critical illness or terminal disease, may also result in payment, depending on the contract. Usually, a premium is paid by the policyholder, either on a regular basis or all at once. Other costs, such burial costs, can be covered by the benefits.
Consequently, a single survivorship life insurance policy might provide coverage for two persons. These policies, which are also known as second-to-die joint life insurance, only provide a death benefit following the passing of both policyholders.
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An airplane pilot whose craft has an air speed of 150km / hr whishes to fly on a true course of N 65 E. A 15 km / hr wind is blowing with a bearing of S 45 E. In what direction should the plane be pointed? What will be the plane's ground speed?
speed of plane's ground = 155.769 Km/h
What is speed and velocity ?Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion. In other words, speed is a scalar value, but velocity is a vector.
What are the units of speed ?Units of speed = meter per second
So ln [tex]$\triangle A O B$[/tex], we have
[tex]$$[/tex]A=65[tex]^{\circ}+45^{\circ}=110^{\circ} \\[/tex]
O A=[tex]150 \mathrm{~km} / \mathrm{h} \\[/tex]
A B=15 [tex]\mathrm{~km} / \mathrm{h}[/tex]
[tex]\end{aligned}[/tex]using cosine Rule
[tex]\cos A=\frac{O A^2+A B^2-O B^2}{2(O A)(A B)} \\[/tex]
[tex]\cos 110^{\circ}=\frac{(150)^2+(15)^2-O B^2}{2(150)(15)} \\[/tex]
[tex]4500 \cos 110^{\circ}=22500+225-0 B^2 \\[/tex]
[tex]-1539.09064=22725-0 B^2 \\[/tex]
[tex]O B^2=22725+1539.09064 \\[/tex]
[tex]O B^2=24,264.0906 \\[/tex]
[tex]O B=155.769351 \approx 155.769 \mathrm{~km} / \mathrm{hr} \\[/tex]
[tex]O B \approx 17 \mathrm{k}[/tex]
using sine rule
[tex]\frac{\sin (A O B)}{15}=\frac{\sin A}{O B} \\[/tex]
[tex]\frac{\sin (A O B)}{15}=\frac{\sin 110^{\circ}}{155.769351} \\[/tex]
[tex]\sin (A O B)=\frac{15 \sin 110^{\circ}}{155.769351}=\frac{14.0953893}{155.769351}[/tex]
[tex]\sin (A \cap B)=0.0904888491 \\[/tex]
[tex]A O B=\sin ^{-1}(0.0904888491) \\[/tex]
[tex]A D B=5.19173084^{\circ} \\[/tex]
[tex]A O B=5.2^{\circ}[/tex]
Direction of plane [tex]=65^{\circ}+5.2^{\circ} \\[/tex] = [tex]=70.2^{\circ}[/tex]
Direction N = 70.2° E
speed of plane's ground [tex]$=155.769 \mathrm{~km} / \mathrm{h}$[/tex]
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For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
A bag contains three blue marbles, five red marbles, and four green marbles.
Part A: What is the probability of selecting three marbles where one is blue and two are green?
Part B: What is the probability of selecting one blue marble and then selecting three red marbles?
Part C: In your own words, write a short paragraph that explains your work for Parts A and B.
The probabilities for the given problem is calculated as 0.081 and 0.06 respectively.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
Given that,
There are 3 blue marbles, 5 red marbles and 4 green marbles.
Then, the total number of marbles is 12.
The given problem can be solved as follows,
Part A:
The probability of getting 1 blue and 2 green marbles is,
P( 1 blue and 2 green) = (³C₁ × ⁴C₂)/¹²C₃
= ( 3 × 6)/ 220
= 9/110
= 0.081
Part B:
The probability of selecting one blue marble = 3/12 = 1/4
After one blue marble is selected, the remaining number of marbles is 11.
Thus, probability of selecting 3 red marbles is,
⁵C₃/¹¹C₃
= 10/165
= 0.06
Part C:
In the Part A the probability is calculated by taking the ratio of total number of ways of selecting 3 marbles and the number of ways of selecting 1 blue and 2 green marbles.
And, in Part B the number of ways is calculated from the remaining number of marbles after one blue marble is chosen.
Hence, the probabilities for the given parts in the question are 0.081 and 0.06 respectively.
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m% of p% of n? Help Pls
Find the values of x and y
Answer: A
Step-by-step explanation:
We see that the x is a right angle, so it must be a 90-degree angle!
For y, we know that a triangle has 180 degrees, we already know the other two angles are 90 and 64, add both together, equal 154.
180 - 154 = 26, so y is 26 degrees!
So the answer is A
The number of students who are active in the computer club has jumped from 7 to 19. To the nearest percent, what is the percent increase?
Answer:
63.2%
Step-by-step explanation:
percentage increase= (Increase \ old number) * 100
= {(19 -7)/ 19} * 100
= (12\19) * 100
=63.16 %
What is the value of x?
Answer:
3
Step-by-step explanation:
5x = 6x - 3
6x - 5x = 3
x = 3
Jaylen and Ryan are saving up for holiday gifts for their families. Jaylen has $340 in his savings account and earns an additional $15 per week from doing chores. Ryan has $220 in her savings account and earns $25 per week from doing chores. How many weeks will it take to save up the same amount of money?
Jaylen and Ryan will have same amount of money after 12 weeks .
Let the no of weeks after which both of them will have equal amount be x
therefore, after x weeks the amount of money in
Jaylen's account = 340 + 15x
Ryan's account = 220+ 25x
Now, since these amount is equal
therefore,
340 + 15x = 220+ 25x
on solving this equation we get ,
=>340 - 220 = 25 x - 15x
=> 120 =10x
=> x = 12
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable).
Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
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Help me with this actual L question
Answer:
[tex]\frac{t^6u^4w^{10}}{v}[/tex]
Step-by-step explanation:
1.) Simplify. Anything to the power of 0 is equal to 1, meaning that you don't have to pay attention to those variables. This brings us with [tex]t^5u^7v^{-1}wtu^{-3}w^9[/tex].
2.) Combine common powers. When you multiply, you add the exponents. This brings us with [tex]t^6u^4w^{10}v^{-1}[/tex].
3.) Finally, negative exponents can be brought to the denominator, so we get [tex]\frac{t^6u^4w^{10}}{v}[/tex].
A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there?
A.
52
B.
49
C.
51
D.
47
Answer:
B. 49
Step-by-step explanation:
21/3 = 7 new houses
7*7 = 49 old houses
Answer:
Answer to the question is B: 49
What is the value of x? My
Answer:
x = 71
Step-by-step explanation:
Since the legs of the triangle are congruent, both 21 , then the triangle is isosceles with base angles congruent.
Then
x = (180 - 38) ÷ 2 = 142 ÷ 2 = 71
what is the volocity of a plane that traveled 3,000 miles from new york to california in 4.5 hours? socratic.org
What is speed?
Velocity is defined as the speed of movement of an object along its direction. Velocity tells you how fast an object is moving and the direction it's moving. Similar to velocity, but also adds direction. Therefore, velocity is directed velocity, although velocity has no direction.
how to calculate speed
Find the initial velocity of an object by dividing the time it took the object to travel the specified distance by the total distance. In the formula V = d/t, V is velocity, d is distance, and t is time.
According to the question given data,
Distance=3000miles
Time=4.5hours
Put the value of formula
V=3000/4.5
V=666.66m/s
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Evaluate 23x-1 for x = 1.
2 to the power of 3 not 23
Answer: = 7 i believe
Step-by-step explanation:
2^3 (2 power by 3) x - 1 for 1 which is 7
Jill
had 3 full pan of brownie. Each pan made 10 brownie. He gave 3/8 of the brownie to her friend how many brownie did jill give away
Using Mathematical operations we can conclude that Jill gave 11 brownies to her friend.
What are mathematical operations?A mathematical function known as an "operation" in mathematics is one that converts zero or more input values into a precisely specified output value.
The quantity of operands has an impact on the operation's complexity.
Most people concur that the four basic mathematical operations are addition, subtraction, multiplication, and division.
So, we know that Jill has 3 full pans of brownies.
Each pan contains 110 brownies.
So total brownies Jill has:
10*3 = 30 brownies
Now, she gave 3/8 brownies to her friend.
So, the number of brownies Jill gave away are:
30 * 3/8
15 * 3/4
45/4
11.25
Rounding off: 11
Therefore, using Mathematical operations we can conclude that Jill gave 11 brownies to her friend.
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The graph of y = f(x) is shown below. Find all values of x where f(x) = 8.
The value of x when f(x) of 8 according to the graph is; 4.
How to calculate value of x?In order to determine a point's coordinates in a coordinate system, you must do the opposite. Start at the point and move in a vertical line in either an upwards or downwards direction to the x-axis. Here is the x-coordinate for you. Next, repeat the process while following a horizontal line to determine the y-coordinate.
According to the graph;
To determine the value of x when f(x) = 8.
We must plot a line of the equation; y = 8.
This y = 8 line produces a horizontal line.
The point at which the horizontal line, y = 8 intersects the given graph has an x coordinate.
Ultimately, this point has x coordinates of 4, making 4 the value of x when f(x) = 8.
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Rose spent $2.00 for
20 pieces of gum. Joe spent
$1.50 for 10 pieces of gum.
Who got the better deal?
Explain your answer.
Answer: Rose got the better deal!
Step-by-step explanation:
Rose got the better deal, she only spent .10 cents for every piece, while joe spent .15 cents and only got 10 pieces.
Matt is filling containers of rice. Each container holds \dfrac{1}{4}
4
1
start fraction, 1, divided by, 4, end fraction of a kilogram of rice.
If Matt has 777 kilograms of rice, how many containers can he fill?
The number of containers that he can fill is 3108.
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,
The formula for the division of fractions is:
= a/b ÷ c/d
= a x d / b x c
Amount of rice in a container = 1/4 kg
The total amount of rice = 777 kg.
The number of containers.
= 777 ÷ (1/4)
= 777/(1/4)
= 777 x 4
= 3108
Thus,
The number of containers is 3108.
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The reciprocal of x^3
Answer:
x^-3
Step-by-step explanation:
The reciprocal of x^3 is x to the power of negative 3 (aka [tex]\frac{1}{x^3}[/tex]).
PLS HELP ASAP WILL NAME BRAINLIEST
what is a product of -30 but the sum of -1
Answer: -6 and 5
Step-by-step explanation:
-6 and 5
x+y = -1
xy = -30
x=-1-y
y(-1-y)=-30
-y^2-y=-30
-y^2-y+30=0
(y-5)(5+6)
y=5,-6
95 % of the class is on santa's nice list if there are 20 students how many are naughty
Answer: 1 Student
Step-by-step explanation:
Hope this helps!
You need enough carpet to cover the floor in a triangular room. How much carpet will you need? if necessary, round to the nearest tenth. A right triangle with side 15 feet and hypotenuse 20 feet. A. 175 square ft b. 13. 2 square ft c. 99 square ft d. 48. 2 square ft.
13.2 square ft area of carpet will you need .
What is a right-angle triangle, exactly?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The sum of the other two angles is 90 degrees.
The triangle's base and perpendicular sides both include the right angle. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.
the area of rigth triangle
20² = 15² + x
400 = 225 + x²
x² = 400 - 225
x = 13.2
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I really need help What is the image point of (9,3) after the transformation r x-axis ∘D 1/3?
The image point of (9,3) after the transformation r x-axis is (-9, -3 ).
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
Since we know that Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
Therefore, Under a counterclockwise
a point (x, y ) → (- x, - y ) , thus
(9, 3 )→ (-9, -3 )
Therefore, the image point of (9,3) after the transformation r x-axis is (-9, -3 ).
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What is the equation of a line that is parallel to 3x + 4y = 15 and passes through the point (8, - 2)?
Enter your answer in slope-intercept form (y=mx+b) in the box.
Step-by-step explanation:
in the slope- intercept form
y = mx + b
m is the slope, b is the y-intercept (the y-value when x = 0).
a parallel line must have the same slope, but a different y- intercept.
as you can see, the slope is always the factor of x, when we have a "y = ..." form.
so, coming from
3x + 4y = 15
4y = -3x + 15
y = (-3/4)x + 15/4
the slope is therefore -3/4.
b we get by using the given point coordinates in the equation :
-2 = (-3/4)×8 + b = -24/4 + b
b = -2 + 24/4 = -2 + 6 = 4
so, the full equation is
y = (-3/4)x + 4
Need help with this.
Answer:
93.331 ft
Step-by-step explanation:
Use the trigonometric function sine (opposite/hypotenuse)
sin(59) = 80
1 x
You can switch x and sin(59)
x = 80
sin(59)
Plug into calculator
x = 93.331 ft
The general term Tn of a sequence is
4+n
2n
Find the 4th term and the 6th term in the sequence.
The 4th term and the 6th term in the sequence are 1 and 5/6
How to determine the 4th term and the 6th term in the sequence.From the question, we have the following parameters that can be used in our computation:
Tn= (4 + n)/2n
The 4th term and the 6th term in the sequence means that
n = 4 and n = 6
Substitute the known values in the above equation, so, we have the following representation
n = 4:
T(4) = (4 + 4)/2(4)
Evaluate
T(4) = 1
n = 6:
T(6) = (4 + 6)/2(6)
Evaluate
T(6) = 5/6
Hence, the terms are 1 and 5/6
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I need help please! It’s ASAP
Answer:
28
Step-by-step explanation:
[tex]80 \times \frac{35}{100 } \\ = 28[/tex]
Answer:
28
Step-by-step explanation:
From the given pie chart:
35% of the people surveyed selected blue as their favorite color.If a total of 80 people were surveyed, to find the number of people in the sample that chose blue, simply find 35% of 80:
[tex]\begin{aligned}\implies \sf 35\%\;of\;80 & = \sf \dfrac{35}{100} \times 80\\\\&= \sf \dfrac{35 \times 80}{100} \\\\&= \sf \dfrac{2800}{100} \\\\&=\sf 28\end{aligned}[/tex]
Therefore, 28 people from a total of 80 surveyed chose blue as their favorite color.
4/6 - 1/12 simplified
After solving the given expression, the value obtained will be equal to 7/12.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given fraction in the question,
4/6 - 1/12
Take LCM as 12 and then solve,
= (8 - 1)/12
= 7/12
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solve the matrix equations
with full explanations and workings please
Answer:
Step-by-step explanation:
x<60
23. Lauren and Kate drove 725 miles.
If Lauren drove 298 of those miles,
how many miles did Kate drive?
Answer:
427 miles
Step-by-step explanation:
725-298=427 miles
Answer: Kate drove 427 miles.
Explanation: 725 - 298 = 427.