Answer: 7.59
Step-by-step explanation: I added all of the miles he traveled up together. ( don't overthink questions like this)
use the number line to represent the solution 5 x < 20
x<4 is the solution of the inequality 5 x < 20
What is Number system?A number system is defined as a system of writing to express numbers.
The given inequality is 5 x < 20
We have to solve for x
Divide both sides by 5
x<20/5
Divide numerator and denominator by 5
x<4
The graph of x<4 is given in the attachment.
Hence, x<4 is the solution of the inequality 5 x < 20
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PLEASE HELP ASAP
A dog eats soft food out of a 16oz packet. Every day the dog eats its meals split into three dishes breakfast, lunch, and dinner. If the dog needs to eat 11oz daily, how many oz would be in each dish?
A dog eats soft food out of a 16oz packet. Every day the dog eats its meals split into three dishes breakfast, lunch, and dinner. If the dog needs to eat 11oz daily, each dish would have 3.67oz of food.
To find out oz would be in each dish, we need to divide the total amount of food the dog needs to eat daily (11oz) by the number of dishes (3). This will give us the amount of food in each dish.
Here's the math:
11oz ÷ 3 dishes = 3.67oz per dish
So, each dish would have 3.67oz of food.
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Find the measure of angle R.
17.2°
16.1°
70.1°
88.6°
Answer:
16.1 is the closest asnwer
Step-by-step explanation:
if you didn't understand feel free to send me a message bro
You and your friend are in an ice skating race. You skate at a rate of 12 feet per second. Your friend skates at a rate of 10 feet per second and has a head start of 20 feet.
a. How long will it take you to catch up to your friend?
b. The entire race is 180 feet. How far ahead of your friend will you be when you cross the finish line?
a. It will take you 2 seconds to catch up to your friend.
b. You will be 60 feet ahead of your friend when you cross the finish line.
a. This is because you are skating at a rate of 12 feet per second and your friend has a head start of 20 feet, so you must cover 20 feet in 2 seconds (20 feet/12 feet per second).
b. You will be 60 feet ahead of your friend when you cross the finish line.
This is because your friend is skating at a rate of 10 feet per second, and you are skating at a rate of 12 feet per second, so you will gain an additional 2 feet per second.
Therefore, in the 180-foot race, you will have gained an additional 60 feet over your friend (180 feet/2 feet per second).
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Compare the numbers 144 and 12. 9329....
Select from the drop-down menu to correctly complete the statement.
√144 is
is Choose... v 12.9329...
Two comparations can be done:
√144 is rational and 12.9329... is irrational.12.9329...> √144 How to compare the two numbers?I understand that we want to compare the numbers:
√144 and 12.9329...
Notice that the second number has infinite decimals after the decimal point (and there is no a clear pattern), so it is an irrational number.
For the first one, we know that:
12*12 = 144
So 144 is a perfect square, then when we apply the square root we will get:
√144 = 12
Then the two comparations are:
√144 is rational and 12.9329... is irrational.
And:
12.9329...> √144
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The difference between the two outputs of a firm is 2 . Eight times the larger quantity is 10 times the smaller quantity. Write a system of equations describing the given conditions. Then solve the system and find the two output levels. Letx^represent the larger quantity andyrepresent the smaller quantity. Type the equation for "The difference between two quantities is 2." 0. (Enter vour response as an equation in terms ofxandy
The first equation describing the given conditions is x - y = 2, as the difference between the two outputs of a firm is 2. The second equation is 8x = 10y, as eight times the larger quantity is 10 times the smaller quantity. The system of equations can be written as:
x - y = 2
8x = 10y
To solve the system, we can use the substitution method. First, we can solve for x in the first equation:
x = y + 2
Then, we can substitute this expression for x into the second equation:
8(y + 2) = 10y
Distributing the 8 gives:
8y + 16 = 10y
Subtracting 8y from both sides gives:
16 = 2y
Dividing by 2 gives:
y = 8
Finally, we can substitute this value of y back into the first equation to find x:
x = 8 + 2 = 10
So the two output levels are x = 10 and y = 8.
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For each of the following statements, indicate if it is true or false. Write T for a true statement, and F for a false statement. You will receive 1 point for every correct answer and .5 negative points for every incorrect answer (but you cannot receive a negative mark on this question). (a). If A is an m x n matrix and B is an n x n matrix, where m
The given statement " If A is an m x n matrix and B is an n x n matrix, then A × B is an m x n matrix" is True. Correct answer of (a) is T.
This statement is definately true because, it helps to consider the dimensions of a matrix. The dimensions of a matrix refer to the number of rows and columns it contains. In the case of an m x n matrix (A) and an n x n matrix (B), the dimensions of A are m rows and n columns, while the dimensions of B are n rows and n columns.
When A is multiplied by B, the result is an m x n matrix, meaning it contains m rows and n columns. This is due to the fact that the number of columns of the first matrix (A) must equal the number of rows of the second matrix (B) in order for the matrices to be compatible for multiplication.
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Use the Corresponding Angles Converse and ∠ 1 ≅∠2 to show that I // m.
Therefore , the solution of the given problem of angles comes out to be Lines I and m can be inferred to be parallel by the Corresponding Angles Converse .
An angle's meaning is what?An angle is a shape in Euclidean geometry consisting of two rays, or sides of a circular, that split at the angle's apex and the angle's apex, which is in the middle. Where they are located, two rays can join to form an angle. Angle is another outcome of two entities interacting. They are known as dihedral angles.
Here,
The Corresponding Angles Converse states that if two parallels are intersected by a transversal such that a set of corresponding angles are congruent, then perhaps the two lines are parallel.
This can be used to demonstrate that lines I and m are parallel.
We can infer that 1 and 2 are corresponding angles because 1 2.
We can infer that they have the same measure because they are congruent.
Let's now think about the transversal line t. Lines I and m can be inferred to be parallel by the Corresponding Angles Converse because 1 and 2 are corresponding angles and t crosses both I and m.
We have thus demonstrated that I / m.
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Which of the following statements is true? Please explain why.
(a) Regression coefficients estimated using least squares are always BLUE.
(b) If the omitted variable has positive effect on the explained variable and is negatively correlated with another explanatory variable we have negative bias.
(c) R2 j in the expression: V ar(βˆ j ) = σ 2 SSTj (1−R2 j ) is obtained from the regression of the dependent variable on the rest of explanatory variables.
(d) None of the above
The correct statement is (a) Regression coefficients estimated using least squares are always BLUE.
Therefore, statement (a) is true. The other statements are not correct. Statement (b) is incorrect because the omitted variable bias can be positive or negative, depending on the direction of the correlation between the omitted variable and the other explanatory variables. Statement (c) is incorrect because R2 j is obtained from the regression of the jth explanatory variable on the rest of the explanatory variables, not the dependent variable. Statement (d) is incorrect because statement (a) is true.
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Can someone explain how to graph quadratic functions please i'm so confused
To graph a quadratic function, follow the steps explained to obtain the smooth curve of the quadratic function.
What is the graph of a quadratic function?
Graphing quadratic functions involves plotting the points on a coordinate plane that satisfy the equation of the function. Quadratic functions are typically written in the form:
f(x) = ax^2 + bx + c
where;
a, b, and c are constants.To graph a quadratic function, you can follow these steps:
Determine the vertex of the parabola. The vertex is the highest or lowest point on the parabola and is given by the formula:x = -b / 2a
y = f(x)
You can find the x-coordinate of the vertex by using the formula above, and then substitute it into the function to find the corresponding y-coordinate.
Determine the y-intercept of the parabola. The y-intercept is the point where the parabola intersects the y-axis, and it can be found by setting x = 0 in the function and solving for y.Find the x-intercepts of the parabola, if they exist. The x-intercepts are the points where the parabola intersects the x-axis, and they can be found by setting y = 0 in the function and solving for x. If the discriminant (b^2 - 4ac) is negative, then the parabola does not intersect the x-axis.Plot the vertex, y-intercept, and any x-intercepts on a coordinate plane. The vertex is the highest or lowest point on the parabola and is located on the axis of symmetry, which is the vertical line passing through the x-coordinate of the vertex.Draw the parabola by sketching a smooth curve through the points you've plotted. If the coefficient a is positive, the parabola opens upwards and if a is negative, the parabola opens downwards.Learn more about quadratic function here: https://brainly.com/question/1214333
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HELPPP
PLEASE SOLVE IT AND USE ANY STRATEGIES
Answer:
Mate show the full picture please..half of the question is not shown.
Step-by-step explanation:
Solve the equation 17.25x + 3.89 = 21.14. Give your answer correct to the nearest integer.
Answer:
x = 1
Step-by-step explanation:
17.25x+3.89=21.14
17.25x=17.25
x = 1
Answer:
The solution to the equation is x = 1
Step-by-step explanation:
Hi,
We need to isolate the term that contains the variable "x", so we will subtract 3.89.
17.25x + 3.89 - 3.89 = 21.14 - 3.89
We obtain:
17.25x = 17.25
Dividing both sides by 17.25:
x = 1
Therefore, the solution to the equation is x = 1.
Good luck!
Is 6x-2 equivalent to 2-6x
Answer:
No
Step-by-step explanation:
6x-2
Factor out -1
( - -6x + -2)
- ( -6x +2)
- ( 2 -6x)
This is not equal to (2+6x) because of the negative sign out front.
You have a negative bank balance of $75. You deposit $6.50 per day and now has a positive bank balance of $81. How many days did it take her to reach $81?
It took 24 days for the bank balance to increase from -$75 to $81 with daily deposits of $6.50.
How to determine the number of daysLet's start by figuring out how much the bank balance increased by each day.
If the starting bank balance was -$75 and the ending bank balance was $81, then the total increase was:
$81 - (-$75) = $156
If she deposited $6.50 per day, then the bank balance increased by $6.50 each day.
So we can divide the total increase by the daily increase to find out how many days it took to reach $81:
$156 ÷ $6.50 per day = 24 days
Hence, the number of days is 24
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Let B be an invertible matrix such that B^(-1) (see photo)
Find the solution of the equation Bx = (see photo)
Bx = 1
2
3
B^-1 = -1 0 1
2 2 0
1 0 1
The solution of the equation Bx = 1 2 3 is x = 2 6 4.
To find the solution of the equation Bx =
1
2
3
, we can multiply both sides of the equation by the inverse of B, B^-1. This will give us:
B^-1 Bx = B^-1
1
2
3
Since the product of a matrix and its inverse is the identity matrix, I, we can simplify the left side of the equation to:
Ix = B^-1
1
2
3
And since the product of the identity matrix and any vector is just the vector itself, we can simplify further to:
x = B^-1
1
2
3
Now, we can plug in the given values for B^-1 and the right side of the equation to find the solution for x:
x =
-1 0 1
2 2 0
1 0 1
*
1
2
3
Multiplying the matrices gives us:
x =
(-1)(1) + (0)(2) + (1)(3)
(2)(1) + (2)(2) + (0)(3)
(1)(1) + (0)(2) + (1)(3)
Simplifying further gives us:
x =
2
6
4
So, the solution of the equation Bx = 1 2 3 is x = 2 6 4
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If cot (x) = 5/3 (in Quadrant-I), find
sin(2x) = _________ (Please enter answer accurate to 4 decimal places.)
The answer is sin(2x) = 0.8824.
If cot(x) = 5/3, we can use the identity cot(x) = 1/tan(x) to find the value of tan(x). Therefore, tan(x) = 1/(5/3) = 3/5.
Now, we can use the identity sin(2x) = 2sin(x)cos(x) to find the value of sin(2x). First, we need to find the values of sin(x) and cos(x).
Since tan(x) = 3/5, we can use the Pythagorean identity 1 = sin^2(x) + cos^2(x) to find the values of sin(x) and cos(x).
Let's assume sin(x) = 3/a and cos(x) = 5/a. Then, we can plug these values into the Pythagorean identity and solve for a:
1 = (3/a)^2 + (5/a)^2
1 = 9/a^2 + 25/a^2
1 = 34/a^2
a^2 = 34
a = √34
Therefore, sin(x) = 3/√34 and cos(x) = 5/√34.
Now, we can plug these values into the identity sin(2x) = 2sin(x)cos(x) to find the value of sin(2x):
sin(2x) = 2(3/√34)(5/√34)
sin(2x) = 30/34
sin(2x) = 0.8823529411764706
To 4 decimal places, sin(2x) = 0.8824.
the answer is sin(2x) = 0.8824.
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Rewrite the quantity as an algebraic expression of \( x \) and state the domain on which the equivalence is valid. \[ \cot (\arcsin (x))=\sqrt{\frac{\sqrt{1-x^{2}}}{x}} \] Domain:
The domain of the expression is \( [-1,1] \).
To rewrite the quantity as an algebraic expression of \( x \), we need to use the definition of the cotangent function and the relationship between the sine and cosine functions. The cotangent function is defined as \[ \cot (\theta)=\frac{1}{\tan (\theta)}=\frac{\cos (\theta)}{\sin (\theta)} \]Using the relationship between the sine and cosine functions, \[ \cos^{2} (\theta)=1-\sin^{2} (\theta) \]we can rewrite the cotangent function in terms of the sine function as \[ \cot (\theta)=\frac{\sqrt{1-\sin^{2} (\theta)}}{\sin (\theta)} \]Substituting \( \arcsin (x) \) for \( \theta \) gives us \[ \cot (\arcsin (x))=\frac{\sqrt{1-\sin^{2} (\arcsin (x))}}{\sin (\arcsin (x))} \]Since \( \sin (\arcsin (x))=x \), we can simplify the expression to get \[ \cot (\arcsin (x))=\frac{\sqrt{1-x^{2}}}{x} \]This is the algebraic expression of the quantity in terms of \( x \).
The domain of the expression is the set of values of \( x \) for which the expression is defined. Since the expression involves a square root, we need to ensure that the radicand is non-negative. This gives us the inequality \[ 1-x^{2}\geq 0 \]Solving for \( x \) gives us the inequality \[ -1\leq x\leq 1 \]Therefore, the domain of the expression is \( [-1,1] \).
In conclusion, the quantity can be rewritten as an algebraic expression of \( x \) as \[ \cot (\arcsin (x))=\frac{\sqrt{1-x^{2}}}{x} \]and the domain on which the equivalence is valid is \( [-1,1] \).
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45 minutes of 2 1/2 hours as a percentage
show method
Answer:
30%
Step-by-step explanation:
First, I added up the number of minutes in 2 1/2 hours. 2 hours is 120 minutes, and 1/2 hour is 30 minutes. 120 + 30 = 150.
Next, divide 45 (which is the number out of 150 we are determining the percentage for) by 150 (which is the total number of minutes). Multiply that number by 100 to get 30. The answer is 30%.
HELP!!!
Zach earns $37.50 every weekend for delivering newspapers. Zach is saving his earnings in order to buy a new computer that costs $470.80. If Zach already has $58.30, enter the minimum number of weekends Zach will need to work before he has enough money to buy the computer.
Answer: 11 weekends
Step-by-step explanation: I did 470.80 divided by 37.50 and got 12 with a decimal, so then I multiplied 37.50 by 11 and got 412.5, then added the 58.30 .
Answer:
Step-by-step explanation:
So first you have to subtract the total that the computer costs by how much zach already has. Then you get 411.7. Then you have to divide 411.7 by 37.50 to get how many weeks it takes to get the computer. Which is 10.96 or 11. 11 weeks is the answer! You can check this by multiplying 37.50 by 11 and add 58 because he already has that money, you will get 470! which is close so there you go!
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
The length of the segment indicated is c = c = 9.92.
What is Pythagoras' theorem?Pythagoras discovered that the square of the hypotenuse in a right-angled triangle with a 90° angle is equal to the sum of the squares of the other two sides.
The triangle has three sides: the hypotenuse, which is always the longest, the opposite, which doesn't touch the hypotenuse, and the adjacent (which is between the opposite and the hypotenuse).
a² = b² + c²
a = 19
b = 16.2
c or x =?
19² = 16.2² + c²
361 = 262.4 + c²
c² = 98.6
c = √98.6
c = 9.92
Therefore, the length of the segment indicated is c = 9.92.
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Mary has $400 in her bank account. She buys an iPad for $475. What is her account balance now?
Answer:
- 75.00
Step-by-step explanation:
400 - 475 = - 75
Helping in the name of Jesus.
Answer:
She's in debt $75
Step-by-step explanation:
475-400=-75
A circle of radius 10cm has a rectangle ABCD inscribed in the first quadrant. Find |AC| (ignore blue pen)
According to the Pythagorean theorem, |AC| = 10 * sqrt(5/3)
What is the theory of the Pythagorean Theorem?The Pythagorean Theorem states that the square on the tangent line (the side across from the right angle) of a right triangle, or, in standard algebraic form, a2 + b2, are equal to a square just on legs.
What practical applications of the Pythagorean Theorem exist?The following are some significant applications of the Pythagoras theorem in daily life: used in architecture and building. used to determine the shortest distance in two-dimensional navigation.
Since the diagonals of a rectangle are identical, the Pythagorean theorem states that AB = CD and BC = AD.
Using the Trigonometry once more, but this times with the edges of the rectangle, we can get d.
Lastly, by applying the right triangle's sides to the Pythagorean theorem, we may determine AC. ACD:
[tex]AC=\frac{500}{3}=10*\frac{5}{3}[/tex]
Therefore, |AC| = 10*(5/3)
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steve earns $255.75 a week. He is single.and claims 2 allowances. What amount is withheld for federal income tax
Answer:
$445.10
Step-by-step explanation:
The amount withheld for federal income tax depends on several factors, including Steve's filing status, income, and deductions. However, we can make an estimate based on some assumptions.
Assuming Steve is paid weekly and is paid for 52 weeks a year, his gross income would be:
$255.75 x 52 = $13,293
We also assume that Steve is claiming two allowances. Each allowance reduces the amount of taxable income subject to federal income tax withholding. For 2021, each allowance is equal to $4,300.
Therefore, Steve's taxable income for federal income tax purposes would be:
$13,293 - (2 x $4,300) = $4,693
To estimate the federal income tax withholding, we can use the IRS tax tables. For a single person claiming two allowances and earning $4,693 per week, the estimated federal income tax withholding would be:
$445.10
However, this is just an estimate, and the actual federal income tax withholding may be different based on Steve's specific circumstances. It's always best to consult with a tax professional for accurate tax advice.
Question 10 Solve the linear inequality 3x+(1)/(3)>=(3)/(2)x+(4)/(7). Enter your answer using interval notation.
The linear inequality answer using interval notation are [10/63, ∞]
To solve the linear inequality 3x+(1)/(3)>=(3)/(2)x+(4)/(7), we need to isolate the variable on one side of the inequality.
Here are the steps to do so:
1. Subtract (3)/(2)x from both sides of the inequality: 3x-(3)/(2)x+(1)/(3)>=(4)/(7)
2. Combine like terms on the left side of the inequality: (3/2)x+(1)/(3)>=(4)/(7)
3. Subtract (1)/(3) from both sides of the inequality: (3/2)x>=(4)/(7)-(1)/(3)
4. Find a common denominator and combine the fractions on the right side of the inequality: (3/2)x>=(12-7)/(21)
5. Simplify the fraction on the right side of the inequality: (3/2)x>=(5)/(21)
6. Multiply both sides of the inequality by the reciprocal of (3/2) to isolate the variable: x>=(5)/(21)*(2)/(3)
7. Simplify the fraction on the right side of the inequality: x>=(10)/(63)
The solution to the inequality is x>=(10)/(63). In interval notation, this is expressed as [10/63, infinity).
So the answer is [10/63, infinity]
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What is the circumference of the circle with a radius of 6.5 meters? Approximate using π = 3.14.
40.82 meters
20.41 meters
9.64 meters
4.33 meters
The circumference of the circle.
The formula:
[tex]\huge\begin{array}{ccc}C=2\pi r\end{array}[/tex]
[tex]r[/tex] - radius
SOLUTION:We have:
[tex]r=6.5m[/tex]
Substitute:
[tex]C=2\cdot6.5m\cdot\pi=13\pi m[/tex]
Use: [tex]\pi\approx3.14[/tex]
[tex]C\approx13m\cdot3.14=40.82m[/tex]
Answer:40.82 meters
The circumference of the circle.
The formula:
- radius
SOLUTION:
We have:
Substitute:
Use:
Step-by-step explanation:
Give bro above me the good stuff
Maths question buys plsss
The difference in volumes between the total volume and initial volume is 40 milliliters.
What is volume?Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫∫ F(x, y, z) dx dy dz
Given is the volume flask as shown in the image.
Initial volume in the container {I} : 360 milliliters
Total volume of the container {T} : 400 milliliters
The difference in volumes between the total volume and initial volume -
{T} - {I}
400 - 360
40 milliliters
Therefore, the difference in volumes between the total volume and initial volume is 40 milliliters.
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Find the area of the composite figure below.
The tοtal area οf the cοmpοsite figure is 358.38 mm² (rοunded tο twο decimal places).
What is Area?Area is the measurement οf the size οf a surface οr a regiοn in a 2D plane, typically measured in square units. It is calculated by multiplying the length and width οf a surface οr regiοn fοr simple shapes like rectangles, οr by using fοrmulas specific tο each shape fοr mοre cοmplex shapes.
The area οf a semicircle with radius r is given by (π/2)r², and the area οf a trapezium with height h and parallel sides a and b is given by (h/2)(a+b).
Substituting the given values, we get
Area οf semicircle = (π/2)(9mm)² = 81π/2 mm²
Area οf trapezium = (13mm/2)(7mm+18mm) = 227.5 mm²
Therefοre, the tοtal area οf the semicircle and trapezium is:
81π/2 + 227.5 ≈ 358.38 mm²(rοunded tο twο decimal places).
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The area of a square living room is 256 ft2
. Which is the length of the room?
Answer:
squareroot(256)
16
Step-by-step explanation:
im genius
Hans has scored 79, 89, 80, and 65 on his previous four tests. What score does he need on his next test so that his average (mean) is 77?
yes
im not sure though try it!
A venue sells seated, standing and VIP tickets.
The seated and standing tickets are in the ratio 1:2
The standing and VIP tickets are in the ratio 6:1
What percentage of the tickets sold are standing?
The percentage of those standing is 60%
How to determine the percentage of those standingFrom the question, we have the following parameters that can be used in our computation:
The seated and standing tickets are in the ratio 1:2The standing and VIP tickets are in the ratio 6:1Using the above as a guide, we have the following:
Seated : Standing = 1 : 2
Standing : VIP = 6 : 1
Multiply Seated : Standing = 1 : 2 by 3
Seated : Standing = 3 : 6
Standing : VIP = 6 : 1
Combine the ratios
Seated : Standing : VIP = 3 : 6 : 1
So, we have
Standing = 6/(3 + 6 + 1) * 100%
Evaluate
Standing = 60%
Hence, the percentage is 60%
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