Answer: 30 weeks
Step-by-step explanation:
let w = number of weeks
you have = 60 + 7w
she has = 120 + 5w
60+7w = 120 + 5w
7w-5w = 120-60
2w = 60
w = 30 weeks
Which could be the first step in solving the equation 0.05x+3−0.02x=4
?
Answer:
Combine like terms.
Step-by-step explanation:
Subtract 0.02x from 0.05x
Then your equation should look like:
0.03x + 3 = 4
is clinical prediction the fairest way to combine assessment information about job applicants, or are the other methods (unit weighting, rational weighting, and multiple regression) more fair?
clinical prediction is not the fairest way to combine assessment information about job applicants, but the other methods (unit weighting, rational weighting, and multiple regression) are more fair
Clinical prediction appears to have a serious shortcoming in terms of overall fairness for applicants because it is a subjective process of bringing information and hence clinical prediction is not the fairest way to combine assessment information about job applicants .
unit weighting is the simple method which add scores of each candidate at each level of assessment in order to arrive at a total score
Thus the other methods (unit weighting, rational weighting, and multiple regression) are more fair
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you have been asked to cut two boards (exactly the same length after the cut) and place them end to end. if the combined length must be within 0.06 inches of 30 inches, then each board must be within how many inches of 15?
Each board must be within how many inches of 15 is l' actual = (15±0.03) inch, l" actual = (15±0.03) inch.
size is the quantification of attributes of an item or occasion, which can be used to evaluate other objects or occasions. In other words, measurement is a system of figuring out how massive or small a bodily amount is compared to a primary reference quantity of the identical kind.
size is the simple idea inside the have a look at of arithmetic and technology. measurement quantifies the traits of an object or occasion, which we can compare with other things or activities. measurement is the most commonly used word, on every occasion we address the department of an amount. dimension gear makes our lives higher and more secure, and they enhance the best and quantity of lifestyles. measurement is a contrast of an unknown quantity with a known fixed amount of the equal kind. The cost received on measuring a quantity is referred to as its value. The value of a quantity is expressed as numbers in its unit.
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a farmer finds that if she plants 80 trees per acre, each tree will yield 55 bushels of fruit. she estimates that for each additional tree planted per acre, the yield of each tree will decrease by 2 bushels. how many trees should she plant per acre to maximize her harvest? trees
Answer:
So, she should add 13 trees per acre for maximum harvesting
Step-by-step explanation:
a farmer finds that if she plants 80 trees per acre, each tree will yield 55 bushels of fruit. she estimates that for each additional tree planted per acre, the yield of each tree will decrease by 2 bushels. how many trees should she plant per acre to maximize her harvest? trees
Let x be the number of trees per acre she adds
Total trees per acre = 80+x
Yield per tree = 55-2x
F(x) = 4400−105x−2x2
Applying differentiation,
F1 (x) = -105 – 4x
Putting F1 (x) =0, gives x = -270/4
X= -67.5
F11 (x) = -4 < 0, hence maximum at x =-67.5
Trees
80-67.5 = 13
So, she should add 13 trees per acre for maximum harvesting
Compute P(X) uing the binomial probability formula. Then determine whether the normal ditribution can be ued to etimate thi probability. If o, approximate P(X) uing the normal ditribution and compare the reult with the exact probability. N=59 p=0. 5 x=28
Binomial probability distribution = 0.0231
The following is the probability using the binomial distribution:
P(X = 24) = 0.0231.
In terms of the normal approximation to the binomial, it is discovered that:
Part 2: C. Yes, because np(1-p)≥10, the normal distribution can be used.
Part 3: The likelihood is: 0.0227.
Part 4: The distinction is: 0.0004.
Binomial probability distribution
The following is the mass function for the probability of exactly x successes:
P(X = x) = [tex]C_{n,x}[/tex].[tex]P^{x}[/tex].[tex](1-P)^{n-x}[/tex]
[tex]C_{n,x}[/tex] = [tex]\frac{n!}{x!(n-x)!}[/tex]
In which the following parameters are defined:
The number of trials in the experiment is n.
The probability of success on a single trial of the experiment is given by p.
The values of these parameters are given in the context of this problem as follows:
n = 59, p = 0.3, X = 24.
Hence the probability is:
P(X = x) = [tex]C_{n,x}[/tex].[tex]P^{x}[/tex].[tex](1-P)^{n-x}[/tex]
P(X=24) = [tex]C_{59,24}[/tex].[tex](0.3)^{24}[/tex].[tex](0.7)^{35}[/tex] = 0.0231
In the context of this problem, the condition for the approximation is verified as follows:
np = 59 x 0.3 = 17.7 ≥ 10.
n(1 - p) = 59 x 0.7 = 41.3 ≥ 10.
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A rock is dropped off of a bridge at 300 feet tall. How long does it take for the rock to hit the water below?
Answer:
4.32 s (if you were asked to use 32.17 for g)
4.33 s (if you were asked to use 32 for g)
4.318 s (if you were asked to use 32.174 for g)
Step-by-step explanation:
This is an example of free fall! The free fall equation in terms of distance is as follows:
[tex]s=\frac{1}{2}gt^2[/tex]
Let's rearrange the equation so it's in terms of time.
[tex]t=\sqrt{\frac{2s}{g} }[/tex]
Plugging in [tex]300ft[/tex] for the distance and [tex]32.17\frac{ft}{s^2}[/tex] for the acceleration due to gravity,
[tex]t=\sqrt{\frac{2(300)}{32.17} }\\t=\sqrt{18.65}\\ t=4.32s[/tex]
The answer will vary based on what value you use for acceleration due to gravity. If you were asked to use 32, the answer will be 4.33s, if you were given a more specific value, like 32.174, the answer will be 4.318.
help please and thankyou
The required solution is Option D.
sin 21 = x / 22
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sinθ
sec θ = 1/cosθ
cot θ = 1/tanθ
Given data ,
Let the triangle be ΔABC and ∠B = 90°
The angle ∠A = 21°
θ = 21°
The value of the hypotenuse = 22
The value adjacent to the right angle is BC = x
From the trigonometric functions , we know that
sin θ = opposite / hypotenuse
So ,
sin θ = x / 22
Hence , the required solution is sin 21 = x / 22
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Find a number which is increased by 12 is two times its opposite.
N = _____
Final equation: ______
The number which when increased by 12 is two times its opposite. is
N = -4
final equation N + 12 = -2N
What is additive inverse?Additive inverse is the opposite of a number in terms of addition, this is the number that gives zero when added to the original number.
To get a result equal to 0, add the original number and the additive inverse or by simply changing the sign of the integer. On the basis of negation of the original number.
The problem says
N + 12 = -2N
N + 2N = -12
3N = -12
N = -4
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marking brainliest!! help much needed!
Find the missing value so that the line passing through the 2 points has the given slope.
(12, -12) and (7, y); slope: -3
a. 3
b. 18
c. -15
Step-by-step explanation:
y = 3
Step-by-step explanation:
Calculate the slope between the 2 points using the slope formula, then equate to - 3
m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }
x
2
−x
1
y
2
−y
1
with (x₁, y₁ ) = (12, - 12 ) and (x₂, y₂ ) = (7, y )
m = \frac{y-(-12)}{7-12}
7−12
y−(−12)
= \frac{y+12}{-5}
−5
y+12
= - 3 ( multiply both sides by - 5 )
y + 12 = 15 ( subtract 12 from both sides )
y = 3
Answer:
Step-by-step explanation:
Which expression is NOT equivalent to 6 × 14?
6 × (10 + 4)
6 × 7 + 6 × 7
6 × 10 + 6 × 4
6 × (10 × 40)
Answer: 6 × (10 × 40)
Answer:
6 × (10 × 40)
Step-by-step explanation:
6 × 14 = 84
6 × (10 + 4) = 6 × 14 = 84
6 × 7 + 6 × 7 = 42 + 42 = 84
6 × 10 + 6 × 4 = 60 + 24 = 84
6 × (10 × 40) = 6 × 400 = 2400
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the value of x. Round to the nearest degree. Look at picture below
The value of x is 51°
What are trigonometric ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given a right triangle with hypotenuse = 9 and perpendicular = 7
Using sine of angle, we get,
sinx = perpendicular/hypotenuse
sinx = 7/9
x = [tex]sin^{-1}[/tex]7/9
x = 51°
Hence, The value of x is 51°
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Describe the end behavior of the function graphed below.
The function is decreasing at the interval (-∞, -3) ∪ (-1, 1) ∪ (3, ∞), and the function is increasing at the interval (-3, -1) ∪ (1, 3), and the minima of the given function at the point (-3, -12), and maxima at point (3,2).
What is a graph?A graph can be defined as a pictorial representation or a diagram of any function that represents data or values.
According to the given graph,
We can see that the function is decreasing at the interval (-∞, -3), then the function is increasing at the interval (-3, -1), then the function is decreasing at the interval (-1, 1), the function is increasing at the interval (1, 3), and the function is decreasing at the interval (3, ∞).
The function is decreasing at the interval (-∞, -3) ∪ (-1, 1) ∪ (3, ∞), and the function is increasing at the interval (-3, -1) ∪ (1, 3).
Thus, the minima of the given function at the point (-3, -12), and maxima at point (3,2).
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What is the equation of line A?
What is the equation of line B?
Answer:
a) y=4
b) x=8
Step-by-step explanation:
a) y will always be equal to 4 for this equation, so y=4
b) y will always be equal to 8 for this equation, so x=8
__ is a set of ordered pairs that produces a true statement when values of x and y are substituted into the equation.
a. function
b. solution
c. domain
d. range
Write an algebraic expression for the verbal description.
The amount of acid in x liters of a 45% acid solution
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.
The algebraic expression for the verbal description:
The amount of acid in x liters of a 45% acid solution is
0.45x
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 amount of acid in x liters of a 45% acid solution.
This can be written as an expression as,
= 0.45x
We know that,
45% = 45/100 = 0.45
Thus,
The algebraic expression for the verbal description:
The amount of acid in x liters of a 45% acid solution is
0.45x
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Someone pls help THIS IS CONFUSIN 100 points
Answer: 13x^6+3x^4+9x^3+2x^2+13
Step-by-step explanation:
When one function undoes or reverses another function, what can you say about the
functions?
Answer:
An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y).
Step-by-step explanation:
Please help me answer this, along with a mathematical explanation!
Find x.
Answer:
Please refer photo for answer
Cone A Has same height Twice radius of cone b what is ratio of volume of cone A to volume B
i need someone who is Really Good in math
Or An Expert of Math Answer it
Please Help!!!
Cone A Has same height Twice radius of cone b what is ratio of volume of cone A to volume B therefore The ratio is 4:1
We know that,
[tex]volume of cone = \frac{1}{3}\pi (r)^{2}h[/tex]
From the question, we have
Cone A has same height of cone B
Cone A has twice radius of cone B
Ratio,
[tex]\frac{volume of cone A}{volume of cone B} = \frac{\frac{1}{3}\pi (2r)^{2}h }{\frac{1}{3}\pi (r)^{2}h} \\=\frac{4}{1}[/tex]
Divide:
Split is to divide into two or more equal sections, places, groupings, or divisions in its most basic form. To divide something simply means to provide it to a group in equal quantities or to cut it up into equal pieces. Let's imagine a diagonal divides a square into two triangles with equal areas. An integer may or may not be the result of a division operation. Sometimes the result will be expressed as decimal numbers.
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A shopper bought a watermelon,a pack of napkins,and some paper plates. In his state, there is no tax on food. The tax rate on non-food items is 15 percent. The total for the three items he bought was $8.25 before tax, and he paid $0.19 in tax. How much did the watermelon cost?
Answer:
Step-by-step explanation:
the question is about 15% tax equaling 19 cents. So what amount of principle would be needed to make 19 cents worth of tax.
.19/.15=1.26666666
round up to $1.27 since we don't have parts of pennies for money.
8.25-1.27=$6.97 for the watermelon.
describe the end behavior of each function
helpppppppppppppppppppppppp pls can you tell me the answers to abc
In the expression 8ab + 3b + 16 - 4a ,
(a) the number of terms are four .
(b) the factors of 8ab are 1 , 8 , a , b , 8a , 8b , ab , 2ab .
(c) the third term "16"is a constant .
In the question ,
the expression is given as 8ab + 3b + 16 - 4a .
Part(a)
the number of terms that are there in the expression is 4 ,
the terms are 8ab , 3b , 16 , 4a .
Part(b)
the first term is 8ab ,
the factors of 8ab is 1 , 8 , a , b , 8a , 8b , ab , 2ab .
Part(c)
the constant term is 16 , because there is no variable .
Therefore , In the expression 8ab + 3b + 16 - 4a ,
(a) the number of terms are four .
(b) the factors of 8ab are 1 , 8 , a , b , 8a , 8b , ab , 2ab .
(c) the third term "16"is a constant .
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Suppose the math club is going on a field trip. Members will be riding in vans that will hold 7 people each including the
driver. More than 28 people will be going on the field trip. Do not put spaces in your answers.
Write an inequality to model this situation using V as the variable.
Solve the inequality.
What is the least number of vans needed to make the trip?
Answer: 4v so this would be the correct answer.
At a particular restaurant, each mini hotdog has 90 calories and each pizza roll has 50 calories. A combination meal with pizza rolls and mini hotdogs is shown to have 860 total calories and 6 more pizza rolls than mini hotdogs. Write a system of equations that could be used to determine the number of mini hotdogs in the combination meal and the number of pizza rolls in the combination meal. Define the variables that you use to write the system.
The number of mini hotdogs in the combination meal is 4.
The number of pizza rolls in the combination meal is 10.
The variables that you use to write the system are x and (x + 6).
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation
We have,
Number of hot dogs = x
Number of pizza = x + 6
Hot dogs calories = 90
Pizza calories = 50
Now,
90x + 50(x + 6) = 860
Solve for x.
90x + 50x + 300 = 860
140x = 860 - 300
140x = 560
x = 560/140
x = 4
We can cross-check.
90 x 4 + 50 x 10 = 860
360 + 500 = 860
860 = 860
Thus,
The number of hot dogs is 4.
The number of pizzas is 10.
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PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
The rate of change is the slope. See the picture. The blue line (Function B) is steeper than the red line (Function A).
If c = 12, which statement is true?
A. c is 5 times as many as 4
B. 27 is c times as many as 3
C. 6 times as many as c is 72
D. 8 more than c is 15
Answer:
C. 6 times as many as c is 72
Step-by-step explanation:
You want to know if c = 12, which statement is true.
We can substitute 12 for c in each expression and write it as a math equation. That makes it easier to see if it is true.
A. c is 5 times as many as 412 = 5×4
12 = 20 . . . . . false
B. 27 is c times as many as 327 = 12×3
27 = 36 . . . . . false
C. 6 times as many as c is 726×12 = 72 . . . . . TRUE
D. 8 more than c is 158 + 12 = 15
20 = 15 . . . . . false
cesium 134 decays exponentially. the half life of cesium-134 is 2 years. suppose we have a 50mg sample. after how long after how long will only a 10 mg sample
Cesium would remain 10g after 2 years in 9.55 gram.
Define exponential decay.A process known as exponential decay is when a quantity diminishes over time at a pace that reduces proportionally as the quantity shrinks. The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.
Given,
Cesium 134 decays exponentially. the half life of cesium-134 is 2 years.
The half-life of cesium is approximately 30 years.
The formula for half-life decay is A = P(1/2)t/d.
The half life is D. A Equals 9.55 gram when 10 gram and 2 years are entered into the equation.
Cesium would remain 10g after 2 years in 9.55 gram.
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could someone please help me? ASAP!
Answer:
$1.2
Step-by-step explanation:
If the tax is 3% then we will have to multiply the price($40) by .03
40*.03= 1.2
Scientists have calculated that the diameter of Himalia, one of Jupiter's moons, is 20 times smaller than the diameter of Earth's moon, which is 3480 km. What is the diameter of Himalia?
A person eating at a cafeteria must choose 4 of the 18 vegetables on offer. Calculate the number of elements in the sample space for this experiment. a) 24024 b) 3060 c) 12240 d) 1001 e) 73440 f) None of the above
According to the combination method, the number of elements in the sample space for this experiment is 3060
Combination method:
Basically, the mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
Given,
A person eating at a cafeteria must choose 4 of the 18 vegetables on offer.
Here we have to calculate the number of elements in the sample space for this experiment.
While we looking into the given question, we have identified the following things,
They are
Total number of available vegetables = 18
Number of choices we have made = 4
Therefore, here the value of n = 18 and the value of x = 4,
Therefore, according to the ncx formula, it can be written as,
=> ¹⁸n₄ = 18! / 4! (18 - 4)!
=> ¹⁸n₄ = 18! / 4! (14)!
=> ¹⁸n₄ = 3060.
Therefore, there are 3060 number of elements in the sample space for this experiment.
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