[tex]\fbox{7.07...}[/tex]
First, we need the square of both numbers (8 and 18)
square of 8:
[tex]\sqrt{8}[/tex]
[tex]=2.828[/tex]
square of 18:
[tex]\sqrt{18}[/tex]
[tex]=4.242[/tex]
Now, let's add both numbers:
[tex]2.828+4.242[/tex]
[tex]=7.07[/tex]
(2x-5)(x+2) write the area as a product and a sum
Answer:
2x^2 -x -10 is the answer as a product
3x-3 as a sum
Step-by-step explanation:
Assuming (2x-5)(x+2)=0
Let's distribute.
(2x^2+4x)(-5x-10)=0
Then combine like terms
2x^2 -x -10 is the answer as a product
3x-3 as a sum
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
–4, –3, –2, –1, ...
Answer:
[tex]a_{n}[/tex] = n - 5
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence, that is
- 3 - (- 4) = - 2 - (- 3) = - 1 - (- 2) = 1
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 4 and d = 1 , then
[tex]a_{n}[/tex] = - 4 + 1 (n - 1) = - 4 + n - 1 = n - 5
Alfred begins collecting model cars. He buys 3 new model cars every week. Is the number of cars he owns proportional to the number of weeks that have passed since he started his collection?
Answer:yes
Step-by-step explanation:
for every week he gets 3 cars so it can only incre ment by 3. (1,3) (2,6) (3,9) and so on.
An aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff. What is the probability that their offspring will have the genotype aabbccddeeff?.
When an aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff, the probability that their offspring will have the genotype aabbccddeeff would be 1/64.
The genotype of an organism refers to the complete set of genetic material. An offspring's genotype is the result of the combination of genes from their parents. In order to obtain the overall probability, individual probabilities for each locus will be multiplied. The Parent cross would be AABbccDdEeFF x AaBBCCDdEeff and offspring would be AaBbCcddEEFf.
The A locus cross is AA x Aa, half of the offspring will be AA and half of the offspring will be Aa. Hence, the probability of Aa would be ½.The B locus cross is Bb x BB, half of the offspring will be BB and half of the offspring will be Bb. Hence, the probability of Bb is ½. The C locus cross is cc x CC. All of the offspring will be Cc. Hence, the probability of Cc is 1.The D locus cross is Dd x Dd. One-fourth of the offspring will be DD, one half of the offspring will be Dd, and one-fourth of the offspring will be dd. Hence, the probability of dd is ¼.The E locus cross is Ee x Ee. One-fourth of the offspring will be EE, half of the offspring will be Ee, and one-fourth of the offspring will be ee. Hence, the probability of EE is ¼.The F locus cross is FF x ff. All of the offspring will be Ff. Hence, the probability of Ff is 1.Multiplying all the probability:
½ * ½ * 1 * ¼ * ¼ * 1 = 1/64
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Dan spends
34
of his wages on rent and
18 on food. If he makes £240 per week, how much money does he have left?
Dan has money left is £30.
Given:
Dan spends 3/4 of his wages on rent and 1/8 on food.
If he makes £240 per week.
Money left = 240 - 240* 3/4 - 240 * 1/8
= 240 - 60*3 - 240/8
= 240 - 180 - 30
= 60 - 30
= 30.
Therefore Dan has money left is £30.
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A balloon was originally filled to a volume of 4,400 cubic centimeters. air inside the balloon leaks out over time. write an inequality that describes v, the volume of the balloon in cubic centimeters as air leaks out.
Answer:
V<4400
Step-by-step explanation:
Answer:
the answer is V<4,400
if you are using khan academy, do not add the comma for 4,400, otherwise it will not work.
khan academy answer: V<4400
Step-by-step explanation:
if the air leaked out, which is V, that means V would be less than 4,400 because 4,400 is what we have started with.
Therefore, the inequality would be V<4,400 or for khan academy, V=4400
Kelly grows potatoes.
She has 2500 kg of potatoes, correct to the nearest 10kg.
Kelly is going to put the potatoes into sacks.
Each sack will contain 12. 5 kg of potatoes.
Kelly assumes that 12. 5 kg is measured correct to the nearest 0. 1 kg.
(a) Does Kelly definitely have enough potatoes to fill 200 sacks?
You must show how you get your answer
Kelly fill 200 sacks with the weight of 2000 kg potatoes and in each sack, she can fill up to 12.5 kg of potatoes.
What is weight?The gravitational attraction of an item near the Earth or another celestial body toward the center of the body. The weight of an item is determined by its mass and the strength of the gravitational force. We use the following generic formula to compute weight: W = mg. Where 'W' is the object's weight,'m' is the object's mass, and 'g' is the acceleration due to gravity. The value of g on Earth is 9.8 m/s2. The most frequent definition of weight is the force imposed by gravity on a body.
Here,
weight of potatoes she has=2500 kg
weight of each sack that contain the potatoes=12.5 kg
with this, she can fill,
=2500/12.5
=200 sacks
Kelly fills 200 sacks with 2000 kg of potatoes, and each sack can hold up to 12.5 kg of potatoes.
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Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Sidney wants to take group fitness classes at a nearby gym, but needs to start by selecting a
membership plan. With the first membership plan, Sidney can pay $36 per month, plus $2 for
each group class she attends. Alternately, she can get the second membership plan and pay
$35 per month plus $3 per class. If Sidney attends a certain number of classes in a month,
the two membership plans end up costing the same total amount. How many classes per
month is that? What is that total amount?
If Sidney attends
Submit
classes per month, each membership plan costs $
The system of equation to describe the situation below is x= 1.
What is equation?
an equation is a formula that is to expresses the equality of two expressions, by the connecting them with in the equals sign.
The process of equting one thing with another is called the equation of science with objective.
Sol- Based on the given condition-
The formulate is- 36+2x=35+3x
Rearrange variables to the left side of the equation
2x-3x=35-36
Combine like terms
-x= 35-36
Calculate the sum or difference
-x=-1
Devide both side of the equation by the coefficient of variable we get
X=1
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Please help me with this!!!
The Probability of an odd number = 0.5.
What is Probability?
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using probability, we can calculate everything from the possibility of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. The formula for computing probabilities in equiprobable sample spaces, the probability of the complementary event, etc., as well as the likelihood of two occurrences coming together, are essential to understand in order to properly appreciate this field of mathematics.
In the given question, we have:
The odd numbers on the given spin are 1,3,5,7 and 9;
So, The number of odd numbers is 6;
That is, n(odd) = 6;
and,
Total number of Spin = 12;
So, The probability of an odd number = [tex]\frac{odd number}{total number}[/tex]
The probability of an odd number = [tex]\frac{6}{12}[/tex]
Hence, The Probability of an odd number = 0.5.
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Find quotation 1 3/4 divided by 3
Please help I think it’s 7/12
The quotation for division of 7/4 that is 1 3/4 divided by 3 will be 7/12 by the rule of division that is a/b÷c/d=a/b*d/c.
What is division?A number is divided in division, which is a straightforward operation. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. A division is the division of a given sum into equal parts. For instance, we could split a group of 20 people into four groups of 5, five groups of 4, and so on. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. To determine how many equal groups are created or how many people are in each group, division is the primary objective.
Here,
1 3/4=7/4
7/4÷3/1,
a/b÷c/d=a/b*d/c
7/4*1/3=7/12
According to the division rule a/b÷c/d=a/b*d/c, the quotation for 7/4, which is 1 3/4 divided by 3, will be 7/12.
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The Jackson family just bought 15-packs of Lacroix at Costco. On average, their family drinks about eight cans a week after how many weeks will there be only five cans left? Show how you figured it out.
If the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks
Total number of packs they bought = 15 pack
The average cans they finish each week = 8
Number of cans left = 5 cans
Number of cans used = Total number of packs they bought - Number of cans left =
= 15 - 5
= 10 cans
After how many weeks will there be only five cans left = Number of cans used ÷ The average cans they finish each week
Here we have to use the division
Substitute the values in the equation
After how many weeks will there be only five cans left = 10 /8
= 1.25 weeks
Hence, if the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks
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if a seed is planted, it has a 95% chance of growing into a healthy plant. if 9 seeds are planted, what is the probability that exactly 3 don't grow?
If 9 seeds are planted, what is the probability that exactly 3 don't grow will be 1/5832000 as 5% chance are there that plant will not grow.
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
The chances of seed to be not growing is 1–0.95 =0.05.
For 3 seeds not to grow being simultaneous occurring events have the probability = 0.05×0.05x0.05=0.000125
As 9 seeds being planted the probability of selecting 1 out of 9 is (1/9).
So for 3 mutual occurring case is (1/9)×(1/9)x(1/9)= 1/729
So the probability will be (1/729)×1/8000=1/58,32,000
The likelihood that exactly 3 seeds out of 9 will not germinate is 1/5832000, or 5%, so there is a chance that the plant won't grow.
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The shaded area of the square above is what fraction of the entire square?
The fraction of the entire square that is shaded is 2/5.
What fraction of the entire square is shaded?A square is a two dimensional object that four sides that are of equal length. This means that the dimensions of the length and the width have the same value. A square has two diagonals that bisect each other at 90°.
A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 1/2.
Fraction = number of shaded squares / total number of squares
16 / 40
When expressed in its simplest form, the fraction becomes 2/5.
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Work out the length of x if one of the lengths is 9.7cm.Give your answer rounded to 3 significant figures.
Tysm if u can work this out correctly.
Considering the figure of a right angle triangle, the given length is the hypotenuse,. The unknown side x is calculated to be 6.86 cm
How to find xinformation given in the question
hypotenuse = 9.7 cm
opposite = x
adjacent = x
The problem is solved using the Pythagoras theorem is applicable to right angle triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
opposite = adjacent
plugging the values as in the problem
let x be the required distance
9.7² = x² + x²
94.09 = 2x²
47.045 = x²
x² = 47.045
x = √47.045
x = 6.8589
x = 6.86 to 3 significant figures
side x is 6.86 cm
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al would take six hours to paint a wall working alone, while bob would take four hours to paint it, and chuck would take three hours to paint it. al starts painting at noon. at 1:00 pm, bob joins him. chuck joins them at 1:30 pm. at what time do they finish painting the wall?
At 2:20 pm they finish the paint of wall.
Given, Al took 6 hours to paint a wall.
Bob took 4 hours and Chuck took 3 hours for same.
Let the work of painting wall is = LCM(6,4,3) = 12 Units
So in 1 hour Al works = 12/6 = 2 units
In 1 hour Bob works = 12/4 = 3 units
In 1 hour Chuck works = 12/3 = 4 units
In 1 hour, Al and Bob together do = 2+3 = 5 units
In 1 hour, all three together do = 2+3+4 = 9 units
Now from noon i.e. 12 to 1.00 pm Al works alone.
So 2 units of work is done.
From 1 pm to 1.30 pm, Al and Bob work together.
In 30 minutes i.e. ½ hour Al and Bob did = (1/2)*5 = 5/2 units
From 1.30 pm they all three work together.
Now the remaining work is = 12-(2+5/2) = 12-9/2 = 15/2 units
So they complete rest in = (15/2)/9 = 5/6 hours = 50 minutes
Hence the time of finishing the work = 1.30 + 50 minutes = 2.20 pm.
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i will literally do ANYTHING for doordash mcdonalds literally Anything for 20 dollars
Answer: Nice
Step-by-step explanation:
a journalist for an automotive magazine wants to determine how the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; the maximum number of passengers; and its safety rating on a 5-point scale. what is the correct format for a multiple regression equation?
the correct format for a multiple regression equation is
ŷ= [tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex]
multiple regression: The relationship between a single dependent or criterion variable and multiple independent or predictor variables is typically explained by multiple regression. The constant term and multiple independent variables with their corresponding coefficients are used to model a dependent variable. The term "multiple regression" refers to the fact that it requires two or more predictor variables.
because, the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; and the maximum number of passengers.
thus, ŷ=[tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex] is the multiple regression equation.
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To rent a certain meeting room, a college charges a reservation fee of $49 and an additional fee of $5.80 per hour. The math club wants to spend less than $72.20 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for .
The possible amount of time for which they could rent the meeting room is 1, 2, and 3 hours.
In the question,
It is given that,
Reservation fee is $49.
Additional fee is $5.80 per hour.
The math club can spend maximum of $72.20.
The inequality will be:
49 + 5.8*t < 72.20
5.8*t < 23.2
t < 4
Hence, the possible amount of time for which they could rent the meeting room is 1, 2, and 3 hrs.
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HELP ME PLEASEEEEEEE
Answer:
[tex]{ \boxed{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}[/tex]
- \theta = 25°
- opposite = x
- hypotenuse = z
[tex]{ \tt{ \sin(25 \degree) = \frac{x}{z} }} \\ [/tex]
Answer: x/z
Step-by-step explanation:
sin25 uses soh from sohcahtoa
sin25 = opposite/hypotenuse = x/z
Decide whether each equation is true for all, one, or no values of x.
1. 3x + 9 = -4.5x + 20 ; This is true for one value of x.
2. 9(x + 3) = 9x + 12 ; This is true for no values of x.
3. 4(2x + 3) = 12 + 8x ; True for any values of x.
Given,
The equations;
1. 3x + 9 = -4.5x + 20
2. 9(x + 3) = 9x + 12
3. 4(2x + 3) = 12 + 8x
We have to find whether each equation is true for all, one or no values of x.
Here,
1. 3x + 9 = -4.5x + 20
Solve for x;
3x + 4.5x = 20 - 9
7.5x = 11
x = 11/7.5
x = 1.47
Then,
This is true for one value of x.
2. 9(x + 3) = 9x + 12
Solve using distributive property;
9x + 27 = 9x + 12
9x - 9x = 12 - 27
0 = -15
This is true for no values of x.
3. 4(2x + 3) = 12 + 8x
Use distributive property and solve;
8x + 12 = 12 + 8x
8x - 8x = 12 - 12
0 = 0
True for any values of x.
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Is x + 1/y = 7 a linear equation?
[tex]x + \frac{1}{y} = 7[/tex]
The equation ; x + 1/y = 7 as given in the task content is a linear equation.
What are linear equations?It follows from the task content that the equation given in the task content is to be identified as linear or not.
Since the given equation is; x + 1/y = 7;
It is noteworthy to know that a linear equation is one in which case, the greatest exponent of the variable is; 1.
Therefore, since the greatest exponent of a variable in the given equation is 1; it follows that the equation is a linear equation.
Hence, the equation given in the task content; x + 1/y = 7 is a linear equation.
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26. Alex can complete a certain task in 10 hours. Working together, Alex and Eli can do it in 6 hours. How long will it take Eli alone to complete the task?
Eli will take 12 hours alone to complete the task.
What are distance word problems?Algebra word problems frequently take the form of distance word problems. They involve a situation in which you must determine the speed, distance, or duration of one or more objects' travels. Because one of the most well-known distance problems involves determining the precise moment when two trains traveling in opposite directions cross paths, these are frequently referred to as "train problems."distance = rate x timed = rtIn other words, the distance you traveled is equal to the time you spent driving multiplied by the speed you were traveling at.Acc to our question-
alex take 10 hrs to complete a workalex and eli both take 6 hours.distance = rate x timed = rtdistance = rate x timeeli will take 4 hrsHence,Eli will take 4 hrs.
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2(1 + 2k)
Simplify the expression... HELP
Answer:
2+4K
Step-by-step explanation:
distribute the 2
2(1+2k)
2(1)+2(2k)
2+4K
Hopes this helps please mark brainliest
What does the y-intercept represent in the context of the problem?
the total cost at 8 visits
Total cost at 12 visits
the number of visits at $0 total cost
the total cost at 0 visits
PLEASE HELP!!!!
Answer:
D
Step-by-step explanation:
The equation of the line is y = 2x + 8
To find the y intercept we make x=0
When x=0 y=8
if y is total cost and x is number of visits then at zero visits (x=0) the total cost is 8, which is what you would find using choice D
Answer:
D) the total cost at 0 visits--------------------------------
The y-intercept is (0, 8)The x-coordinate, number of visits ⇒ x = 0, zero visits,The y-coordinate, total cost ⇒ y = 8, total cost is $8.It represents the cost with zero visits, likely the membership cost, therefore the correct choice is D.
which one would be the correct answer?
3x²-2x+5 is the other factor of the above polynomial (6x³-x²+8x+5) other than (2x+1).
Describe a polynomial.In mathematics, a polynomial is an equation made up of coefficients and indeterminates, also referred to as variables. Only addition, subtraction, multiplication, and powers of positive-integer variables may be utilized to solve it. An example of a polynomial with one uncertain x is x² + 4x + 7.
Polynomials are commonly used in calculations in both mathematics and science. For instance, in the fundamental sciences of chemistry, physics, economics, and social science, they are used to define polynomial functions. They are also used in numerical analysis and calculus to approximate other functions. Simple word problems to complex scientific conundrums are all represented by polynomial equations. Polynomials are used in advanced mathematics.
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1. The measures of the angles in a triangle are in the extended ratio of 1:4:7. Find the measures of the angles.
i need help with my homework
Answer:
1 : 4 : 7
15 : 60 : 105
Step-by-step explanation:
1 + 4 + 7 = 12
180⁰ ÷ 12units = 15⁰
1 unit = 15⁰
4 units = 15⁰ × 4 = 60⁰
7 units = 15⁰ × 7 = 105⁰
Complete the equation so that it has no solution.
-15x + 4x + 2-x=__x+3
Equation -15x + 4x + 2-x= -12x+3 has no solution.
Define equation.A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities. The x + 4 = 12 equation states that the left and right sides of the equation are equal. A assertion that "this equals that" is what constitutes an equation.
Given,
Equation:
-15x + 4x + 2 - x = _x +3
For no solution, value of x on both sides should be equal,
So,
-15x + 4x - x
-12x
Value of x will be -12.
Equation -15x + 4x + 2-x= -12x+3 has no solution.
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One type of plant root splits 4 times while growing in the ground. The number of new roots after each split can be modeled by the function f(x)=3x, where x is the number of times the root splits. What is the domain of f(x)? CLEAR CHECK All positive integers All positive integers less than or equal to 4 All integers All positive integers greater than or equal to 4
The domain of the function represented as .f(x) is (b) All positive integers less than or equal to 4
How to determine the representation of the domain?The equation of the function is given as
f(x) = 3x
Where
x = Number of splits
f(x) = number of new roots in each split
From the question, we have
Splits = 4
This means that the maximum value of x is 4
The other values of x would be
x = 1, 2, 3, 4
This can be represented as
0 ≤ x ≤ 4
The interpretation of the above notation is all positive values less than or equal to 4
Hence, the domain value is option (b)
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the hypotenuse of a triangle is 4x one of the legs . the other leg in 3(sqrt 5 units. find the length of the hypotenus?
The length of the hypotenuse is 4√3 units.
Given that hypotenuse is 4 times the length of one leg of a triangle. So here we can assume that length to be x. Hence the hypotenuse length is 4x. To calculate hypotenuse we have the formula a²=b² + c², where b and c are two sides of the triangle and a is the hypotenuse. If we put these values in the formula we get,
16x² = x² + (3√5)²
15x² = 45
x² = 3
x = ±√3
Since length cannot be negative, the final value of x = √3, and since the length of the hypotenuse was 4x, the final value of the hypotenuse is 4√3.
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find the general terms of the sequence 4 8 12 16
Answer: The general term is an = 4n
Step-by-step explanation:
