Answers
Answer:
159
Step-by-step explanation:
So first you work on the (3 + 5) which is 8 but don't forget the ^2 so 8^2 is 64. Then you work on your next term which is 10^2 which is 100. So now our equation is 100 + 64 -5 and you can solve this by going left to right. So 100 + 64 is 164 then - 5 is 159.
Related Questions
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0
and σ=15.0
. A random sample of 41
people is taken.
Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98
? Round your answer to 4
decimal places, if necessary.
Answers
Answer:
Step-by-step explanation:
To solve this problem, we need to standardize the IQ score using the formula:
z = (x - μ) / σ
where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
So, for x = 98, we have:
z = (98 - 100) / 15 = -0.1333
Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -0.1333 is approximately 0.4483.
Therefore, the probability of a random person on the street having an IQ score of less than 98 is 0.4483 (or 44.83% rounded to four decimal places).
Identify the roots . State the multiplicity of each root.
1. 2x^3+ 8x^2 - 32x - 128 = 0
please help
Answers
The roots of the function y = 2x^3+ 8x^2 - 32x - 128, considering it's graph, are given as follows:
x = -4 with a multiplicity of 2.x = 4 with a multiplicity of 1.How to obtain the roots of a function?The roots of a function can be obtained from the graph of the function, as they also represent the x-intercepts of the function.
The x-intercepts of a function are given by the values of x at which the graph of the function crosses the x-axis, which is the horizontal axis.
The multiplicities of each root are given as follows:
Graph turns at the root: even multiplicity.Graph crosses the y-axis at the root: odd multiplicity.From the graph given by the image presented at the end of the answer, the roots of the function are given as follows:
x = -4 with a multiplicity of 2. -> graph turns.x = 4 with a multiplicity of 1. -> graph crosses the y-axis.More can be learned about the roots of a function at https://brainly.com/question/10702726
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The product of a number and -6.5 is -58.5. Write and solve an equation to find the number.
Answers
As a result, the variable x is 9 which is the correct answer.
What exactly is an equation?By combining two expressions, the equation generates a mathematical expression, similar to an expression. A typical equation would have been 3x - 5 = 16. The solution to this equation reveals that the value assigned to the variable x is 7.
We'll refer to the number we're looking for as "x" for the time being.
The problem states that the result of "x" and -6.5 is -58.5:
-6.5x = -58.5
We can divide all of the equation's components by -6.5 to find the answer to "x":
x = -58.5 ÷ -6.5
x = 9
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Men have XY (or YX) chromosomes and women have XX chromosomes. X-linked recessive genetic diseases (such as juvenile retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercase x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child. Complete parts a through d below.
Question content area bottom
Part 1
a. If a father has the defective x chromosome and the mother has good XX chromosomes, what is the probability that a son will inherit the disease?
enter your response here
(Type an integer or a decimal. Do not round.)
Answers
The probability that a son will inherit the disease would be
P{E} = 1/4.
What is probability?The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%Given is that men have XY (or YX) chromosomes and women have XX chromosomes. X-linked recessive genetic diseases (such as juvenile retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercase x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child.
The probability that a son will inherit the disease if a father has the
defective {x} chromosome and the mother has good {XX} chromosomes
as -
P{E} = 4/16
P{E} = 1/4
Therefore, the probability that a son will inherit the disease would be
P{E} = 1/4.
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A line passes through the point (2, - 3) and has a slope of - 4.
Write an equation in slope-intercept form for this line.
Answers
Answer:
y = -4x + 5.
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Given that the line passes through the point (2, -3) and has a slope of -4, we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where x1 and y1 are the coordinates of the given point, and m is the slope.
Substituting the given values, we get:
y - (-3) = -4(x - 2)
Simplifying and rearranging, we get:
y + 3 = -4x + 8
Subtracting 3 from both sides, we get:
y = -4x + 5
Therefore, the equation in slope-intercept form for the given line is y = -4x + 5.
4.
A principal estimated that 100 students attended the school's play. Select
all of the statements that could represent this estimate.
65% of 150 students
24% of 394 students
52% of 140 students
78% of 211 students
the jacket is
Answers
Answer:
Step-by-step explanation:
The statement "65% of 150 students" could represent the estimate that 100 students attended the school's play.
To see this, we can calculate 65% of 150:
0.65 x 150 = 97.5
Since 97.5 is close to 100, it is possible that the estimate was based on 65% of 150 students.
The other statements do not come close to 100, so they are not likely to represent the estimate that 100 students attended the school's play.
Nicole shines a light from a window of a lighthouse on a cliff, 175 feet above the water level.
Nick, 10 feet above the water level in a ship off shore, finds that the angle of elevation of the light is 5; Find the length of the line of sight (light beam) from the ship to Nicole. Round to the
nearest tenth.
Answers
The length of the line of sight from the ship to Nicole is approximately 2046.1 feet, rounded to the nearest tenth.
What is trigonometry?Trigonometry is a branch of mathematics that studies the relationships between triangle sides and angles.
The term trigonometry is derived from the Latin derivative of the Greek words for triangle (trigonon) and measurement (measur) (metron).
Trigonometry is a branch of mathematics concerned with angle relationships and length ratios.
Let's assume that the distance between Nicole's window and Nick's position is "x" feet. Then, we can use trigonometry to set up the following equation:
tan(5) = (175 + 10) / x
Simplifying and solving for "x", we get:
x = (185) / tan(5)
x ≈ 2046.1 feet
Therefore, the length of the line of sight from the ship to Nicole is approximately 2046.1 feet, rounded to the nearest tenth.
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Calculate the simple interest and find the new balance on a principal of $575 deposited at 6.5% for a period of 10 years round the the nearest cent
Answers
Answer:
Step-by-step explanation:
The simple interest can be calculated using the formula:
I = P * r * t
where:
P = principal amount = $575
r = annual interest rate = 6.5% = 0.065
t = time period = 10 years
I = 575 * 0.065 * 10
I = $373.75
The new balance can be found by adding the interest to the principal:
New balance = Principal + Interest
New balance = $575 + $373.75
New balance = $948.75
Rounded to the nearest cent, the new balance is $948.75.
Bella owns a small business selling ice-cream. She knows that in the last week 50 customers paid cash, 2 customers used a debit card, and 4 customers used a credit card. Based on these results, express the probability that the next customer will pay with cash or a credit card as a decimal to the nearest hundredth.
Answers
Answer:
0.96
Step-by-step explanation:
Bella owns a small business selling ice-cream. She knows that in the last week 50 customers paid cash, 2 customers used a debit card, and 4 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash or a credit card as a decimal to the nearest hundredth.
50 cash, 2 debit card, and 4 credit card.
50+2+4= 56
There were a total of 56 customers. 50+4=54 customers paid with cash or a credit card.
Probability the next customer will pay with cash or a credit card:
54
56
= 0.964285...
≈ 0.96
Round to the nearest hundredth
The probability as a decimal to the nearest hundredth is
0.96
round 395,621 to the nearest ten thousand
Answers
Answer:
Rounding 395,621 to the nearest ten thousand is 400,000.
Step-by-step explanation:
Answer:
the nearest 10 thousand is 400,000.
Step-by-step explanation:
hope this helps!
Which system of inequalities is graphed to the right?
Answers
The system of inequalities graphed is given as follows:
y > -1.y ≤ -x + 1.How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.The lower bound of the graph is a horizontal line at y = -1, hence:
y > -1.
For the upper bound of the graph, we have a linear function with these following parameters:
b = 1, as when x = 0, y = 1.m = -1, as when x increases by 1, y decays by 1.The upper bound is also a closed interval, as the line is solid, hence:
y ≤ -x + 1.
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The expression −−18−−−−√−−18 can be rewritten as −1⋅−1−−−√⋅9–√⋅2–√−1⋅−1⋅9⋅2. Which expression is equivalent to −1⋅−1−−−√⋅9–√⋅2–√−1⋅−1⋅9⋅2?
Answers
The answer of imaginary expression is option a. The value is -3i[tex]\sqrt2[/tex] .
What is Imaginary expression?Imaginary expression is a specific type of algebraic expression which involves the square root of a negative number. For example 2+3i is an Imaginary expression.
Given that,
-1[tex]\sqrt{-1[/tex] [tex]\sqrt9[/tex] [tex]\sqrt{2[/tex]
=-1×i×3×√2 [since [tex]\sqrt-1[/tex]= i and [tex]\sqrt{9[/tex] =3]
[Here [tex]\sqrt-1[/tex] is an imaginary number]
= -3i√2
Hence the answer is -3i√2 .
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The question is explain how you calculate at this temperature. Someone answer it please right answers only!
Answers
The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
What is temperature?Temperature is a unit of hotness and coldness that can be described in terms of any number of arbitrary scales. It also represents the direction wherein heat energy will naturally flow, from either a hotter (i.e., higher temperature) body to a colder body.
Temperature is not the same as the energy of such a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match, despite the fact that a match is burning at a significantly higher temperature. The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
Therefore, the linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
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How much do we need to invest at 12% simple interest in order to have a total of $12,400 in 2 years?
Answers
Answer:
$10,000
Step-by-step explanation:
Let
Principal= x
Rate = 12%
Time = 2 years
Interest = (Final amount with interest placed on it) - Principal
Therefore,
Interest = 12,400 - x
Using
I = (P·r·t) / 100
Making P, subject of formula,
P = (100·I) / (R·T)
x = [100·(12,400 - x)] / (12.2)
x = (1,240,000 - 100x) / 24
Cross multiply,
24x = 1,240,000 -100x
24x + 100x = 1,240,000
124x = 1,240,000
x = 1,240,000 / 124
x = 10,000
Therefore, the principal, amount we need to invest is
$10,000
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Thanks.
Peter's parents follow a regular schedule for taking care of their car, they change the plugs every 30 000km, rotate their tyres every 10 000km and replace brake pads blades
Answers
The point after 30, 000 km will they first have to change the oil, rotate the tires and replace the wiper blades all at once.
What is Arithmetic Progression?Arithmetic Progression (AP) is a numerical series in which the difference between any two consecutive numbers is a constant value. Arithmetic Sequence is another name for it.
The First term is an "oil change" with a step d = 3000 km;
and, the second term is tire rotation = 10, 000 Km
and, the third term is replacement of wiper blades = 15, 000 Km
Now, we know from the formula of Arithmetic Progression is
= + d(n-1)
So, 15,000 = 10,000 + 10,000 (n-1)
15, 000 = 10,000 + 10, 000n- 10,000
150000 = 10000n
n = 1.5
This means that at the point 15 000 km and all three progressions will not intersect.
Now, We take the second term of the progression as = 30,000 km
So, 30,000 = 10,000 + 10,000 (n-1)
20,000 = 10,000n - 10,000
30, 000 = 10,000n
n= 3
Similarly, check this intersection point for the first progression with a step of d = 3 000 km we get n =9.
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The complete question is :-
Peter's parents follow a regular schedule for taking care of the car. They change the plugs every 30 000km, rotate the tyres every 10 000km and replace the brake pads blades every 15 000km. After how many kilometers will they have to change the plugs, rotate the tyres and replace the brake pads all at once for the first time?
What function type does the graphed data points represent?
A)
Exponential
B)
Can't be determined
C)
Linear
D)
Quadratic
Answers
It sure looks like a linear function to me.
You can confirm this by finding the slope of "down 10/right 2" to give you a slope of -5.
2
MP Use Tools Cal orders 1 ton of gravel to use in 2 cactus beds.
If he uses the same amount in each bed, how much gravel does
he use in one bed? Write an equation to model the situation.
Then represent the problem on the number line.
Answers
According to the information, the equation that expresses this situation is x = 1/4 / 2
How to identify the equation that corresponds to this expression?To identify the equation that corresponds to this expression, we must take into account that the amount of gravel that he used in a single cactus is equal to x.
Additionally, we must take into account that x is equal to half of 1/4. Therefore, we must write the equation as follows:
x = 1/4 / 2If we want to know the result we can develop the operation as shown below:
x = 1/4 / 2x = 0.25 / 2x = 0.125Learn more about mathematical expressions in: https://brainly.com/question/30350742
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please help me with this question
Answers
the answer is 42 will be 42 because i answer that before
A young executive is going to purchase a vacation property for investment purposes. She needs to borrow $127,000.00 for 28 years at 4.3% compounded monthly, and will make monthly payments of $650.71. (Round all answers to 2 decimal places.)
What is the unpaid balance after 15 months? $
During this time period, how much interest did she pay? $
Answers
Omar is going to eat a round lollipop that has a radius of 3 inches. What is the lollipop's
diameter?
Answers
Answer:
6
Step-by-step explanation:
radius is 1/2 the diamiter
Answer:
Step-by-step explanation:
Answer: 6 inches.
Explanation:
Since the radius is 3 inches, the diameter will be twice the size of the radius. The radius is half the width of a circular object. The diameter is the full width. Therefore Omar's lollipop has a diameter of 6 inches.
Imagine you are about to run two laps of an athletics track. You can go at any speed for the first lap. On the second lap, you will have to run faster such that your average speed is twice the speed of the first lap. How fast do you have to run the second lap to make this happen?
Answers
Answer:
Let's assume that the length of the athletics track is "L" units, and let "x" be the speed (in units per minute) at which you run the first lap.
Since you're running two laps, the total distance covered is 2L. The time it takes to complete the first lap is L/x, since time = distance ÷ speed. For the second lap, you want your average speed to be twice the speed of the first lap, so your total time for the second lap must be half the time of the first lap:
Total time for second lap = 0.5 * (L/x) = L/2x
The total time for the two laps is the sum of the time for each lap:
Total time = L/x + L/2x = (2L + L)/(2x) = 3L/(2x)
The average speed for the two laps is the total distance (2L) divided by the total time (3L/2x):
Average speed = (2L) / (3L/2x) = 4x/3
Since you want your average speed for the second lap to be twice the speed of the first lap, you can set up the following equation:
2x = (4x/3) - x
Solving for x, we get:
2x = 4x/3 - x
5x/3 = 0
x = 0
This means that you would have to run the first lap at a speed of 0 units per minute, which is impossible. Therefore, it's not possible to run two laps of an athletics track such that the average speed of the second lap is twice the speed of the first lap.
Step-by-step explanation:
Express the absolute value function f(x)=7|x| as a piecewise-defined function.
Answers
And f(x) =7(-x) =-7(x) for x<=0.
It’s usually written as f(x) ={ with both outputs and conditions inside the bracket if that makes sense!
Question content area top
Part 1
You are certain to get a queen when selecting 49 cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.
Answers
Answer:
Step-by-step explanation:
A standard deck of cards has 52 cards, including 4 queens. If you are certain to get a queen when selecting 49 cards from a shuffled deck, it means that one of those 49 cards must be a queen, and the remaining 48 cards can be any of the remaining 48 cards in the deck.
So, the probability of selecting a queen from a shuffled deck of cards is:
probability = number of favorable outcomes / total number of possible outcomes
Since we are certain to get a queen, the number of favorable outcomes is 4 (the number of queens in the deck), and the total number of possible outcomes is 49 (the number of cards selected from the deck).
Therefore, the probability of selecting a queen is:
probability = 4/49
This fraction cannot be simplified any further. Since the probability value is between 0 and 1 inclusive, we can express the indicated degree of likelihood as a probability value of approximately 0.0816.
Can someone answer this just read the picture? Right answers only please!
Answers
Answer:
6 + 40 *3 = 126
Step-by-step explanation:
first is 6 and you add 3 in every step
Answer:
126 smileys
Step-by-step explanation:
[tex]a_{1} =[/tex] First term
= 6
[tex]d =[/tex] Common difference
= 3
[tex]n =[/tex] [tex]n^{th} term[/tex]
= Step number
Arithmetic sequence will be applied:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
For n = 2:
[tex]a_{2} = 6 + (2 - 1)(3)[/tex]
[tex]= 6 + (1)(3)[/tex]
[tex]= 9[/tex]
For n = 3:
[tex]a_{3} = 6 + (3-1)(3)[/tex]
[tex]= 6 + (2)(3)[/tex]
[tex]= 6 + 6[/tex]
[tex]= 12[/tex]
∴For n = 41:
[tex]a_{41} = 6 + (41 - 1)(3)[/tex]
[tex]= 6 + (40)(3)[/tex]
[tex]= 6 + 120[/tex]
[tex]= 126[/tex]
∴There will be 126 smiley faces in Step 41
60 pounds of cat food in 5 bags
Answers
Answer:
12 lbs of food per bag
Step-by-step explanation:
To distribute cat food equally into a certain number of bags, we can divide the amount of cat food by the number of bags to get how much food should go in each bag.
60 lbs of food ÷ 5 bags = 12 lbs of food per bag
if you looked through a spectroscope and saw light with a wavelength of 450nm, what color would you see? How would its energy and frequency compare to red light?
I know I put it under the wrong subject but math is the most looked at and I know I'll get an answer faster
Answers
Answer:
The visible spectrum can be broken up into particular ranges of wavelengths; each corresponding to what we call colors: violet and indigo: 380 - 450 nm. blue and aqua: 450 - 500 nm. green: 500 - 570 nm.
WILL GIVE 5 STARS
Find the eighth term in the sequence and explain how you arrived at this answer.
4, 16, 36, 64, 100, ...
Answers
The eighth term of the sequence is 256.
What is the eighth term in the sequence?To find the eighth term in the sequence 4, 16, 36, 64, 100, ...., we need to first determine the pattern that generates the sequence.
Looking at the sequence, we notice that;
the first term is 4, which is equal to 2^2. the second term is 16, which is equal to 4^2. the third term is 36, which is equal to 6^2. the fourth term is 64, which is equal to 8^2. the fifth term is 100, which is equal to 10^2.Therefore, we can see that the nth term of the sequence is equal to n^2 * 2^0, 2^2, 2^2, 2^2, 2^2, 2^2, ...
So, the eighth term of the sequence would be:
8^2 * 2^2 = 64 * 4 = 256
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Write a real-world problem that could be solved using the system of equations below. HELP RIGHT AWAY!!
Answers
Answer:
Step-by-step explanation:
y=4x + 10
y=3x + 15
Use algebra to show that the product of any two terms in the sequence is also a term in the
sequence.
Answers
The product of any two terms in the sequence is also a term in the sequence has been proved.
What is a sequence?
A series is an ordered collection of numbers (or other things like geometric objects), and it typically has a particular structure or function. Sequences can be A series is an ordered collection of numbers (or other things like geometric objects), and it typically has a particular structure or function. Sequences can be either infinite or illimitable in length.either infinite or illimitable in length.
Suppose there is a sequence 3, 9, 27, 81.
Taking product of first two numbers, we get
3 × 9 = 27
We can see that the term 27 is present in the sequence.
This represents that in a sequence, the product of two numbers will be the term in the sequence.
Hence, the product of any two terms in the sequence is also a term in the sequence.
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Which statement sentence is true?
A) 0.35 > 0.36
B) 0.3 < 0.04
C) 0.3 > 0.20
D) 0.75 < 0.7
Answers
Answer: C
Step-by-step explanation: 0.3 is greater than 0.20
0.3 could be 0.30 or 0.35 or even 0.31, depends.