Answer:
x = 45
Step-by-step explanation:
0.4 + x(10%) = 4.9 . . . . . . given
x(10%) = 4.5 . . . . . . . . . subtract 0.4
x = 45 . . . . . . . . . . . . multiply by 10
_____
10 × 10% = 100% = 1
equation 5d + 8 = 14 + 3d has o
Answer:
d = 3
Step-by-step explanation:
Isolate the variable, d. Note the equal sign, what you do to one side, you do to the other. Subtract 8 and 3d from both sides:
5d (-3d) + 8 (-8) = 14 (-8) + 3d (-3d)
5d - 3d = 14 - 8
2d = 6
Divide 2 from both sides:
(2d)/2 = (6)/2
d = 6/2
d = 3
d = 3 is your answer.
~
ANSWER:d=3 im thinking.
EXPLANATION
need help with solving equations
Answer:
No solutions
Step-by-step explanation:
-3(6 - 2x) + 23 = 4 - 1/3(-18x - 2)
~Distribute both sides
-18 + 6x + 23 = 4 + 6x + 2
~Combine like terms
5 + 6x = 6 + 6x
~Subtract 5 to both sides
6x = 6x + 1
~Subtract 6x to both sides
0 = 1
Best of Luck!
An angle measures 138° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
42 degrees & 138 degrees.
Step-by-step explanation:
By definition, "SUPPLEMENTARY ANGLES ADD UP TO 180 DEGREES."
That being said you can solve for the missing angle (or really just subtract 138 from 180).
180-138 = 42
What determines the carrying capacity of an ecosystem? a. the number of different types of organisms in an ecosystem b. the amount of available resources c. the square mileage it encompasses d. the ratio of biotic to abiotic factors
Answer: D
Step-by-step explanation: The maximum population size that an ecosystem can support is called carrying capacity. Limiting factors determine carrying capacity. The availability of abiotic factors (such as water, oxygen, and space) and biotic factors (such as food) dictates how many organisms can live in an ecosystem.
PLease help i will give brainliest
Four equal pipes are to be laid end to end under a street. If they were each three feet shorter, they would cover the exact length of the street. On the other hand, if they were each two feet longer, three pipes would be enough for that street. This situation can be expressed as:4(x−3)=3(x+2)What does the variable x represent? Select all that apply.Athe length of each pipeBthe length of the streetCthe length of the four pipesDthe length of four pipes minus 12 feetEone fourth of the length of the street plus three feet
A
the length of each pipe
read the picture plsssssssssssss
If the expression be 23 x² + 3x + 8 then the constant exists 8.
What is meant by expression?The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.
A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.
Let the expression be 23 x² + 3x + 8
then the constant exists 8.
Therefore, the correct answer is option C. 8.
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4(2x-3)=0.2(x+5)+5.75
Answer:
X is about 2.404
Step-by-step explanation:
4(2x-3)=0.2(x+5)+5.75
8x-12=0.2x+1+5.75
8x-12=0.2x+6.75
+12. +12
8x=0.2x+18.75
-0.2x. 0.2x
7.8x=18.75
/7.8. 7.8
x=2.404 (this is rounded)
Hopes this helps please mark brainliest
Answer: I simplified the best I could with my current knowledge, I hope this helps...
Step-by-step explanation:
4(2x + -3) = 0.2(x + 5) + 5.75
8x + (-12) = 0.2x + 1 + 5.75
8x + (-12) = 0.2x + 6.75
All you need to do is move the Xs to the same side and simplify!
the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
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Find the measure of each interior angle and each exterior angle of the indicated regular polygon. 25-gon
Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.
Is the line x = 1 - 2t, y = 2 + 5t, z = -3t parallel to the plane 2x + y - z = 8? Give reasons for your answer.
No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.
To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.
The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).
The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).
To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:
(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4
Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.
The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.
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a classroom of children has 18 boys and 19 girls in which five students are chosen at random to do presentations. what is the probability that more boys than girls are chosen? a) 0.1334 b) 0.4731 c) 0.0197 d) 0.4535 e) 0.3398 f) none of the above.
The probability that more boys than girls are chosen is 0.4731. So option b is correct.
Combination:
The act of combining or the state of being combined. A number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.
Here it is given that there are 18 boys and 19 girls and 5 students are chosen.
We have to find the probability that more boys than girls are chosen.
Probability = \(C^{5} _{18}\) + \(C^{4}_{18} C^{1} _{19}\) + \(C^{3} _{18} C^{2} _{19}\) / \(C^{5}x_{37}\)
= 8568 + 58140 + 139536 / 435897
≈ 0.4731
Therefore the probability is 0.4731.
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Create an .R script that when run performs the following tasks
(a) Assign x = 3 and y = 4
(b) Calculates ln(x + y)
(c) Calculates log10( xy
2 )
(d) Calculates the 2√3 x + √4 y
(e) Calculates 10x−y + exp{xy}
R script that performs the tasks you mentioned:
```R
# Task (a)
x <- 3
y <- 4
# Task (b)
ln_result <- log(x + y)
# Task (c)
log_result <- log10(x * y²)
# Task (d)
sqrt_result <- 2 * sqrt(3) * x + sqrt(4) * y
# Task (e)
exp_result <-\(10^{x - y\) + exp(x * y)
# Printing the results
cat("ln(x + y) =", ln_result, "\n")
cat("log10(\(xy^2\)) =", log_result, "\n")
cat("2√3x + √4y =", sqrt_result, "\n")
cat("\(10^{x - y\) + exp(xy) =", exp_result, "\n")
```
When you run this script, it will assign the values 3 to `x` and 4 to `y`. Then it will calculate the results for each task and print them to the console.
Note that I've used the `log()` function for natural logarithm, `log10()` for base 10 logarithm, and `sqrt()` for square root. The caret `^` operator is used for exponentiation.
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We will use blue poker chips to represent cars that take some damage and yellow poker chips to represent cars that do not take some damage. We will use a total of 100 poker chips to simulate the null hypothesis model. How many of the 100 poker chips should be blue?q
We will use a total of 100 poker chips to simulate the null hypothesis model. We need to find how many of the 100 poker chips should be blue. As per the null hypothesis model 50 of the 100 poker chips should be blue and 50 should be yellow.
Null Hypothesis Model: A null hypothesis model is a statistical hypothesis that there is no significant difference between the observed and expected results. In other words, it is a statement that suggests there is no difference between two sets of data or no correlation between two variables. It is used in hypothesis testing to compare the results of an experiment to the expected results.
In this case, the null hypothesis model assumes that there is no difference between the number of cars that take damage and the number of cars that do not take damage. Hence, we can assume that the number of blue poker chips and yellow poker chips should be equal, that is, 50 each. Therefore, 50 of the 100 poker chips should be blue and 50 should be yellow.
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Multiply. Show all work.
1.45 x 7
Answer: 10.15
Step-by-step explanation:
3 3
1.45
x 7
-----------
10 . 1 5
Please mark brainliest if correct
help me out and ill give brainliest
Answer:
C
Step-by-step explanation:
Y= MX (The Slope which is Rise/Run) minus 2 (The Y-Intercept).
the federal communications commission is attempting to locate an illegal radio station. it sets up two monitoring stations, a and b, with station b 40 miles east of station a. station a measures the illegal signal from the radio station as coming from a direction of 48- east of north. station b measures the signal as coming from a point 34- west of north. how far is the illegal radio station from monitoring stations a and b? round to the nearest tenth of a mile.
The illegal radio station from monitoring stations A and B is 33.49 miles and 27.03 miles respectively.
As the graph triangle shows
∠CAB = 90° - 48° = 42°
∠CBA = 90° - 34° = 56°
So ∠ACB = 180° - ∠CAB - ∠CBA
= 180° - 42° - 56°
= 82°
AC/ sin ∠CBA = BC/ sin ∠CAB = AB/ sin ∠ACB
AC = AB sin ∠CBA / sin ∠ACB
= 40 × sin 56°/ sin 82°
= 33.49 miles
A mile is defined as the unit of length, which is exactly equal to 5280 feet, or 1760 yards, and standardized as exactly 1609.344 meters by the International agreement in 1959.
BC = AB sin ∠CAB /sin ∠ACB
= 40 × sin 42°/ sin 82°
= 27.03 miles
The illegal radio station from monitoring stations A and B is 33.49 miles and 27.03 miles respectively.
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Answer 3,4,5,6 Thank you
B) The missing angle at the intersection point of both triangles is; x = 15°
C) The missing angle is gotten as; x = 61°
How to find the missing angles?B) In the second image given, we can see two angles;
Now, we know that sum of angles in a triangle is 180 degrees. Thus, for the interior angles, we have;
90 + 5x - 14 + y = 180
where y is the third interior angle
Now, we know that sum of angles on a straight line is equal to 180 degrees. Thus;
y = 180 - (9x + 16)
Put 180 - (9x + 16) for y into the first equation to get;
90 + 5x - 14 + 180 - (9x + 16) = 180
180 will cancel out to get;
90 + 5x - 14 - (9x + 16) = 0
4x = 90 - 14 - 16
4x = 60
x = 60/4
x = 15°
C) The missing angle of the triangle with side of 12y + 3 is an alternate angle to get;
Missing angle = 63°
Sum of angles in a triangle is 180 degrees. Thus;
56 + 63 + 3rd angle = 180
3rd angle = 180 - (56 + 63)
3rd angle = 61°
Thus, x = 61° because they are opposite angles
Also, the two given sides are equal to each other as shown. Thus;
51 = 12y + 3
12y = 51 - 3
12y = 48
y = 48/12
y = 4
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Graph the system of equations on the grid below. Y=4x+7 and 2=x-y
The two lines intersect at (-3,-5) and thus a common solution.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here, the system of linear equations as Y=4x+7 and 2=x-y
On solving these two equations we get that the two lines intersect at (-3,-5) and thus a common solution.
The two equations are plotted in the attachment below.
Hence, The two lines intersect at (-3,-5) and thus a common solution.
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Rackel runs 3.2 miles each weekday and 1.5 each day of the weekend how many miles will she rin i 6 weeks
Answer:
114
Step-by-step explanation:
3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.
What are the leading coefficient and degree of the polynomial?
18 + 9w^2 - w^3 - w
Answer:
The leading coefficient is -1. The degree of the polynomial is cubic.
Step-by-step explanation:
The leading coefficient is the number in front of the variable showcasing the biggest exponent. The degree of the polynomial is considered by looking at the biggest exponent, and identifying which one it is. In this case, it's a cubic polynomial.
The velocity in a fluid flow field is given by u=2x+y^2u=2x+y2 and v=3x^2yv=3x2y where uu is the x-component of velocity, and vv is the y-component of velocity. What is the x-component of fluid acceleration in terms of x and y?
The x-component of fluid acceleration in terms of x and y is 2.
To find the x-component of fluid acceleration (ax), we need to differentiate the x-component of velocity (u) with respect to time.
However, the given equations provide the expressions for u in terms of x and y, not time. Therefore, we need to differentiate u with respect to x and y instead.
Given: u = 2x + y^2
To find the x-component of fluid acceleration (ax), we differentiate u with respect to x while treating y as a constant:
ax = ∂u/∂x = ∂(2x + y^2)/∂x = 2
The x-component of fluid acceleration, ax, is simply 2.
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calculate the coefficient of variation for a sample of cereal boxes with a mean weight of 340 grams and a standard deviation of 5.2 grams.? 0.15% A
1.53% B
15.29% C
0.65% D
The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.
In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.
CV = (Standard Deviation / Mean) * 100
CV = (5.2 / 340) * 100
CV ≈ 1.53%
Therefore, the correct answer is option B: 1.53%.
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What is 6 percent of 200 plz show your work
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
200 * 0.06 = 12
How many times larger is (1.088 x 101) than (8 x 10−1)?
13.6
8.704
7.35
0.136
Answer:
0.136
Step-by-step explanation:
If we want to find out how many times larger a number is, they need to have the same amount of exponents to make it easier.
We can move the decimal point in (8 * 10^-1) (which equals 0.8) by 1 to the right, so it's exponent is now 1, same as the (1.088 * 10^1). Now we can divide.
1.088/8 is 0.136, so that is your answer.
A die is rolled twice. Find the probability of getting 1 or 5? [LO4]
The probability of getting a 1 or 5 when rolling a die twice is 11/36.
What is the probability of rolling a 1 or 5?When rolling a die twice, we can determine the probability of getting a 1 or 5 by considering the possible outcomes. A die has six sides, numbered from 1 to 6. Out of these, there are two favorable outcomes: rolling a 1 or rolling a 5.
Since each roll is independent, we can multiply the probabilities of the individual rolls. The probability of rolling a 1 on each roll is 1/6, and the same applies to rolling a 5. Therefore, the probability of getting a 1 or 5 on both rolls is (1/6) * (1/6) = 1/36.
However, we want to find the probability of getting a 1 or 5 on either roll, so we need to account for the possibility of these events occurring in either order. This means we should consider the probability of rolling a 1 and a 5, as well as the probability of rolling a 5 and a 1.
Each of these outcomes has a probability of 1/36. Adding them together gives us a probability of (1/36) + (1/36) = 2/36 = 1/18. However, we should simplify this fraction to its lowest terms, which is 1/18. Therefore, the probability of getting a 1 or 5 when rolling a die twice is 1/18 or approximately 0.0556.
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A rectangle has an area of 120 square feet and a width of 8 feet. please help
Answer:
Step-by-step explanation:
length = 120/8 = 15 feet
perimeter = (15 + 8) x 2 = 46 feet
The area is the product of the length and width then the length of the rectangle is 15 feet.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle has an area of 120 square feet and a width of 8 feet.
Then the length of the rectangle will be
Area = Length × Width
120 = 8L
L = 15
Then the length of the rectangle is 15 feet.
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A car is traveling down a road at a constant speed of 50 miles per hour. Write an equation that represents the distance traveled by the car, d, for an amount of time, t
Answer:
distance divided by rate = time aka D/R=T
Step-by-step explanation:
this is what i learned at least hope it helps
The equation that represents the distance traveled by the car is equal to d = 50 x t.
Speed calculation
To calculate the speed of an object, it is necessary to relate the distance traveled and the time required to travel that distance, so that:
\(V = \frac{d}t}\)
Thus, as we are given the value of a velocity and if we are asked for the expression that represents the distance traveled depending on the time, we have:
\(50 miles/hour = \frac{d}{t}\)
\(d = 50 \times t\)
So, the equation that represents the distance traveled by the car is equal to d = 50 x t.
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When you write the equivalent algebraic expression f8 for f² f6, why do you add the exponents?
The equivalent algebraic expression f⁸ for f² f⁶ is because product of power law states to add the exponents.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).
Algebraic expression types:
Number ExpressionExpression of a BinomialExpression of a Polynomiallet,
RHS = f² f⁶
RHS = f²⁺⁶
RHS = f⁸ = LHS
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how to solve this-
(2y-1)^2-4(2y-1) +4