The equation of the rate of swimmer diving is b)2+x=-12.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here according to the given after 2 minutes, she was 12 meters below the surface.
Then let us take x as the total timing of the dove below then,
after 2 minutes then
=> x+ 2
Swimmer is 12 meters below the surface then
=> x+2 = -12.
Hence the correct option is b)2+x=-12.
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Please help me with this asap
Answer:
4
Step-by-step explanation:
If a fair coin is tossed 8 times, what is the probability, rounded to the nearest
thousandth,of getting at least 6 heads?
There is a 7/32 chance of getting exactly 6 heads. Events must be independent of one another and have a probability sum of one in order to be used in the probability.
How to find probability using binomial distribution?The basis for the binomial distribution is the binomial theorem, which is expressed as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ. Events must be independent of one another and have a probability sum of one in order to be used in the probability. A fair coin is tossed eight times, according to the rule. Half the time, you'll receive the head. Moreover, there is a 50% chance of receiving a tail.
The expression of the binomial distribution, [tex]${ }^n C_x p^x q^{n-x}$[/tex], can be used to solve the preceding problem, where n is the total number of trials, x is the favorable number of trials, and p and q are the probabilities of success and failure, respectively. The binomial distribution can be used to calculate the likelihood of receiving a tail 7 times out of 8.
As a result, the likelihood of receiving exactly 6 heads is 1/32.
[tex]$\begin{aligned} \mathrm{P}(\text { exact } 6 \text { heads }) & ={ }^8 \mathrm{C}_6(1 / 2)^6(1 / 2)^1 \\ & =28 \times 1 / 64 \times 1 / 2 \\ & =7 / 32\end{aligned}$[/tex]
As a result, the likelihood of receiving exactly 6 heads is 1/32.
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the coffee shop with the speed of 27 m/s from the pizza store for 30 seconds. What will be the distance between the 2 store
Answer: 810
Step-by-step explanation: 27 times 30 is 810
Decide whether each equation is true for all, one, or no values of x. Select the button for the true statement. (ignore what i selected already) please help.
The value of x, b) for a single x value, true All x values in which
a) is true
c) True for no x values
Find the value of x?b) for a single x value, true
All x values in which a) is true
c) True for no x values
2x + 8 = -3.5x + 19
All x values in which a) is true
b) for a single x value, true
c) True for no x values
9(x - 2) = 7x + 5
All x values in which a) is true
b) for a single x value, true
c) True for no x values
3(3x + 2) - 2x = 7x + 6
All x values in which a) is true
b) for a single x value, true
c) True for no x values.
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The complete question is,
Analyze each equation to determine whether it holds true for all, one, or no x values.
2x + 8 = -3.5x + 19
a) true for all x values b) true for one x value c) true for no x values 9(x - 2) = 7x + 5 a) true for all x values b) true for one x value c) true for no x values 3(3x + 2) - 2x = 7x + 6 a) true for all x values b) true for one x value
c) True for no x values.
Identify the dependent and independent variables.
To lease my car, I had to put down $2500, plus I pay $299 per month for 5 years.
The dependent variable is the total cost of leasing the car while the independent variable is the number of months that the car is leased.
What is the independent variable?We know that when we talk about the independent variable, we have to look at the variable that changes and as this variable changing, there would be a change in another variable.
In the case that we have here, we can see that as the number of months is changing, so does the total cost. As such, the total cost would be the dependent variable while the number months would be the independent variable.
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Question 4(Multiple Choice Worth 1 points)
(05.02 MC)
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 7° C more than three times the temperature of City B. The temperature of City A minus three times the temperature of City B was −5° C. The following system of equations models this scenario:
4x = 7 + 3y
x − 3y = −5
What was the temperature of City A and City B on that day?
City A was 1° C, and City B was −1° C.
City A was 4° C, and City B was 3° C.
City A was 10° C, and City B was 11° C.
City A was 13° C, and City B was 15° C.
The temperature of City A and City B on that day was 4°C and 3°C respectively.
The correct answer choice is option B
What was the temperature of City A and City B?Let
The temperature of City A = x
The temperature of City B = y
4x = 7 + 3y
x − 3y = −5
From equation (2)
x = -5 + 3y
Substitute into equation (1)
4x = 7 + 3y
4(-5 + 3y) = 7 + 3y
-20 + 12y = 7 + 3y
12y - 3y = 7 + 20
9y = 27
divide both sides by 9
y = 27/9
y = 3
Substitute into (1)
4x = 7 + 3y
4x = 7 + 3(3)
4x = 7 + 9
4x = 16
divide both sides by 4
x = 16/4
x = 4
Hence, City A was 4° C, and City B was 3° C on that day.
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5 |z+3| ≤ 35
Express your answer in interval notation.
Answer:
[ -10,4]
Step-by-step explanation:
Jerimiah and Darren both collect baseball cards. Jerimiah starts with 11 cards and collects 3 cards each week. Darren starts with 5 cards and collects 4 each week. Which system of equations can be used to determine the number of weeks it will take for Jerimiah and Darren to collect the same number of cards?
a. y = 3x + 11 and y = 4x + 5
b. y = 11x + 3 and y = 5x + 4
c. y = 3x + 5 and y = 4x + 11
d. y = 3x + 4x and y = 11 + 5
The system of equations that can be used to determine the number of weeks it will take for Jerimiah and Darren to collect the same number of cards is option A: y = 3x + 11 and y = 4x + 5.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The number of baseball cards Jerimiah collected = 11
The number of baseball cards Darren collected = 5
The number of baseball cards Jerimiah collected every week = 3
The number of baseball cards Darren collected every week = 4
Let the value of number of weeks be x.
The number of cards collected by Jerimiah and Darren is y.
So, the equation for Jerimiah will be -
Number of cards = 3 (number of cards) + 11
Similarly, the equation for Darren will be -
Number of cards = 4 (number of cards) + 5
So, the two equations are -
y = 3x + 11
y = 4x + 5
Now, if the number of week is 6, substitute x = 6 in both the equations -
y = 3(6) + 11
y = 18 + 11
y = 29
y = 4(6) + 5
y = 24 + 5
y = 29
Therefore, it will take 6 weeks for Jerimiah and Darren to collect same number of cards.
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The diameter of a cone's circular base measures 8 inches, and the slant height of the cone is 6 inches.
What is the approximate surface area of the cone?
125.6 in²
204.1 in²
263.8. in²
351.7 in²
The surface area of the cone with a diameter 8in and slant height 6in is 125.6 in²
What is the surface area of the cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The surface area of a cone is expressed as;
A = πrl + πr²
Where r is radius and l is slant height.
Diameter d = 8 inRadius = d/2 = 8/2 = 4inSlant height l = 6 inSurface area A = ?Plug the given values into the equation above.
A = πrl + πr²
A = ( 3.14 × 4 × 6 ) + ( 3.14 × (4)² )
A = ( 3.14 × 4 × 6 ) + ( 3.14 × 16 )
A = 75.36 + 50.24
A = 125.6 in²
Therefore, the area is 125.6 in².
Option A) 125.6 in² is the correct answer.
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Answer: 125.6 in²
ik bc i did the k12 test
in denver, colorado there is a 10% probability of snow on a specific day. How was this probability most likely determined?
In Massachusetts, it has rained 60% of the time on days with identical conditions as this day.
What is meant by probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Probability is the likelihood that an event will occur.
Given that, there is a 60% chance that it will rain on a particular day.
As a result, 60% of the time on that day it rained.
Therefore, the correct answer is option D. On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts.
The complete question is:
Question: In Boston, Massachusetts, there is a 60% probability of rain on a specific day. How was this probability most likely determined?
Options:
A. On this day each year, it rains 60% of the time.
B. On days with similar conditions as this day, it has rained 60% of the time in Massachusetts.
C. During this month, it rains 60% of the days.
D. On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
E. The probability was determined randomly.
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a recipe for fruit smoothies states that 3/4 of the total amount of ingredients should be fruit. The amount of yogurt in the recipe should be 1/4 of the amount of the fruit. What fraction of the total amount of ingredients is neither fruit nor yogurt?
The fraction of the total amount of ingredients that is neither fruit nor yogurt is 0.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The total fraction of all the ingredients are given as follows:
100% = 1.
The ingredients, along with their fractions, are given as follows:
Fruits: 2/3.
Yogurt: half of fruit = 2/3 x 1/2 = 2/6 = 1/3.
So the percentage contained fruit or yogurt is given as follows:
2/3 + 1/3 = 3/3 = 1 = 100%.
There are only two components in the recipe, fruit, and yogurt, so the amount of ingredients that is neither fruit nor yogurt is 0.
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Question 10 of 10
At how many points does the graph of the function below intersect the x-
axis?
y = 3x²-8x+8
Ο Α. 0
OB. 2
C. 1
SUBMIT
A graph of a function intersects the x-axis at the point (x,0).
If the equation has no real-number solutions, what is the discriminant?
A positive discriminant suggests that there are two unique real number solutions to the quadratic. When the discriminant is 0, the quadratic has a repeating real number solution. A negative discriminant means that neither solution is a real number.
Because the discriminant is smaller than zero, the equation has no valid solutions.A is the correct answer. The function’s graph does not cross the x-axis at all. If the discriminant is larger than zero, the equation has two separate and real roots. The equation will have a real root if the discriminant is zero. If the discriminant is smaller than zero, the equation has no real roots and only two complex roots.
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23 divided by 85.1 =???
Answer:
0.2703
Step-by-step explanation:
if you divide 23 into 85.1 you get 0.2703
Approximately what distance had the rock fallen at 3.5 seconds? A)120 ft B) 150 ft C) 170 ft D) 200 ft
Approximately C) 170 ft distance had the rock fallen at 3.5 seconds.
What distance had the rock fallen at 3.5 seconds?At 3.5 seconds, the rock would have fallen approximately 150 feet.This is calculated using the formula S = 1/2at^2, where S is the distance, a is the acceleration due to gravity (in this case, 32 ft/s^2), and t is the time.Plugging in the numbers, we get S = 1/2(32 ft/s^2)(3.5 s)^2 = 150.625 ft. The answer is rounded to 150 ft. To understand this formula and why it works, it's helpful to look at it another way.Acceleration due to gravity is a constant, so the rock is continuously accelerating as it falls. This means that the distance it has fallen increases exponentially with the amount of time it has been falling.This is why, after 3.5 seconds, the rock has fallen further than it did after 2.5 seconds. The formula S = 1/2at^2 is a mathematical representation of this relationship.To learn more about to find the distance refer to:
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a5=768 and a2=12; given two terms in a geometric sequence find the 8th term and the recursive formula. What is the answer?
Give that a5=768 and a2=12, given two terms in a geometric sequence find the 8th term and the recursive formula is ar⁷=6291456
What is geometric progression?A geometric progression is a type of sequence in which the terms are gotten by the multiplication of a constant term known as the constant ratio
The 5th term = ar⁴ = 768 ...............1
The 2nd term = ar² = 12 ....................2
Divide equation 1 by equation 2
= (ar⁴ = 768) ÷ (ar² = 12)
Eliminating a from both equations
r²= 64
taking the square root of both sides
r=√64
r=8
Put r= 8 in equation 2
a*r²=12
a*2² = 12
4a=12
Making a the subject of the relation
a= 3
The terms of the geometric progression are 3. 24, 192 ....
The 8th term of the sequence is
T8 = 3*8⁷
Therefore the eight term is = 6291459
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a baseball manager bought 4 bats and 9 balls for $216. on another day, he bought 3 bats and 12 balls at the same privces and paid $183. how mnuch did he pay for 4each bat and each ball.
part a: define the variables
part b: write a system of equations to represent the situation
part c: solve the system to find how many of each type of guitar were sold
The baseball manager bought each bat for $45 and each ball for $4
What is an equation?An equation shows the relationship between numbers and variables in an expression.
Let x represent the cost of each bat and y represent the cost of each ball.
The manager bought 4 bats and 9 balls for $216, hence:
4x + 9y = 216 (1)
he bought 3 bats and 12 balls and paid $183, hence:
3x + 12y = 183 (2)
From both equations, solving the equations simultaneously:
x = 45, y = 4
The solution is (45, 4)
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EXERCISE 6
1. Which is warmer: -5 °C or -7 °C?
2. By how many degrees is 29 °C warmer than -7 °C? 36
3. By how many degrees is -2 °C colder than 7 °C? degres
4. Suppose the temperature at midday was 21 °C. By sunset it had dropped by 9 °C. What was the temperature at sunset? Hlw-.
5. The temperature on a cold winter's day in Vancouver, Canada was -4 °C. It increased by 6 °C by midday. What was the midday temperature?
6. The following day in Vancouver started out at -1 °C and got four degrees colder by nightfall. What was the temperature at nightfall?
7. Two days later, the temperature started out at 2 °C, but fell nine degrees after it snowed. What was the temperature after it had snowed? ad calculations with numbers
Answer:
1. -7, if you plot it on a number line, -7 is farther down.
2. You already solved this
3. 7 - (-2) = 7+2 = 9
4. 21 - 9 = 12 degrees C
5. 2 degrees C
6. -5 degrees C (-1 - 4)
7. 2 - 9 = -7 degrees C
or
Rewrite the following equation in slope-intercept form.
9x + 19y = 14
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Determine whether the relation shown in the table is a function. Justify your reasoning.
The relation shown in the table is not a function.
What is function?A function is a process or set of instructions that takes inputs, performs a specific task, and produces an output. Functions are key components of programming languages, allowing the coder to create complex commands with simple instructions. For example, a function can be used to add two numbers together or to generate a random number. Functions can also be combined to create more complex sequences of instructions.
This is because for the input of x = 9, there are two corresponding outputs of y, namely 6 and 4. This does not satisfy the definition of a function, which states that for any given input, there must be only one output. Therefore, the relation shown in the table is not a function.
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PLEASE HELP!!!
Given the figure below shows regular hexagon ABCDEF, answer the following questions. Based on your answers from the previous two questions, is BCEF a rectangle Explain your reasoning using complete sentences. All work should be shown.
Answer:
Step-by-step explanation:
It's literally outlined. Just remove the points D AND A.
Solve the equation and enter the value of x below.
3x+ (-8)= -71
Answer here
[tex]3x+(-8)=-71[/tex]
Simplify:
[tex]3x-8=-71[/tex]
Add 8 to both sides:
[tex]3x-8+8=-71+8[/tex]
[tex]3x=-63[/tex]
Divided both sides by 3:
[tex]\dfrac{3x}{3} =\dfrac{-63}{3}[/tex]
[tex]\fbox{x = -21}[/tex]
if EF bisects angle CEB, angle CEF=7x + 21 and angle FEB = 10x-3, find the measure of DEB.
The required measure of ∠DEB = 26° for the given figure.
What is an angle bisector?An angle bisector is defined as a line that divides an angle into two equal angles.
If EF bisects angle ∠CEB,
angle ∠CEF=7x + 21 and angle ∠FEB = 10x-3
As per the given figure, we can write the equation as:
7x + 21 = 10x - 3
Combine the likewise terms,
10x - 7x = 21 + 3
3x = 24
x = 24/3
x = 8
Substitute the value of x = 8 in the ∠CEF = 7x + 21
So ∠CEF = 7(8) + 21 = 77°
Substitute the value of x = 8 in the ∠FEB = 10x-3
So ∠FEB = 10(8)-3 = 77°
So ∠AEC = 180° - 77° - 77° = 26°
So ∠DEB = ∠AEC = 26°
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URGENT PLEASE HELP
f(x)=√x + 7. Find the inverse of f(x).
Answer:
To find the inverse, interchange the variables and solve for y.
option d is correct[tex]f {}^{ - 1} (x) = {x}^{3} - 7[/tex]
Kirk’s older brother asked the 25 students in his class. 11 students said they think aliens exist what percent of the class is that
45.83% of total student except Alien exits.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Kirk’s older brother asked the 25 students in his class.
Out of which 11 students said they think aliens exist.
let 11 represent x% of total.
So, x% of 24= 11
x/100 (24) = 11
x= 1100/ 24
x= 45.83 %
Hence, the percent is 45.83%.
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DUE SOON PLEASE HELP!!!
Answer:
8 km is equal to 800,000 cm
so 800,000/16,000 which is 50
Step-by-step explanation:
so the answer is 50 cm
A line passes through the points (4, -1) and (2, 3). What is the slope of the line?
-2
2
miler
1/2
Step-by-step explanation:
slope of line= (y2-y1/x2-x1)
3-4/2-4
-1/-2 we eliminate -
we get 1/2
Find x!
Please help
Answer:
x=92
Step-by-step explanation:
a triangle is 180 degrees
the angle vertical to the 32 degree angle is also 32
so knowing all the information 180-32-60= 88, but remember that 88 is a supplementary angle to x, meaning the two angles add up to 180, so 180-88=92 degrees
if 20% is 32 what is 25%?
Answer: 25 percent is 40
Tell wether y=1/x shows direct variation, inverse variation, or neither. Explain your reasoning PLEASE
Answer:
Inverse variation.
Step-by-step explanation:
I would say inverse variation because inverse variation is represent as, y=k/×. And deals with division.
While direct variation is represented with, y=kx. And deals with multiplication.
Find the distance from Link to the Red Soldier so Link can attack. Press "Submit" to check your work.
Answer: just make a guess because we do not do that here sorry can i help u with something diffrent
Step-by-step explanation: