Question 5 1 To get from my home to my school, I travel approximately 4.1 miles east, then approximately 4.7 miles north. What is the approximate distance from my home to my school, rounded to the nearest tenth of a mile? * School Distance Home 90°
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Answer:
I hope you find the answer
Related Questions
Hilaria borrowed $8,000 from her grandfather to pay for college. Four years later, she paid him back the $8,000, plus $1,600 interest. What was the rate of simple interest (as a percent)?
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The rate of simple interest is 0.05, which is equivalent to 5% when expressed as a percentage.
To calculate the rate of simple interest, we can use the formula:
Interest = Principal * Rate * Time
Given that Hilaria borrowed $8,000 and paid back $1,600 in interest after four years, we can set up the equation:
$1,600 = $8,000 * Rate * 4
Divide both sides of the equation by $8,000 * 4
$1,600 / ($8,000 * 4) = Rate
Simplifying the equation: 0.05 = Rate
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Find the slope and y-intercept of the line represented by the table.
.
Please help me
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Step-by-step explanation:
I cant see the question but use the formula
y=mx+b
m=slope
b=y-intercept
you can also use the equation
y2-y1/x2-x1 to find slope.
since its a table, you can plug the x (input) and y (output) coordinates of the table to find the slope.
Express the formula d=rt in terms of the time,t. Use your formula to find the time when the distance is 40 and the rate is 8.
Answers
The expression for d=rt in terms of the time is t = d/r; t = 5.
What is time? Time can be defined as a continuous and ongoing sequence of events that occur consecutively from the past to the present to the future. Time is used to measure, measure or compare the duration of events or the intervals between them, and even the sequence of events. Time is a useful concept that we use in our daily life. We have to watch when we cook, play, study, go to school, meet someone, etc. So knowing the right time is very important. Time is usually the answer to when an event happens or happened. The concept of time determines when a certain event occurs, has occurred or will occur. Time is a measurable quantity and is also infinite. The time is calculated in seconds, minutes, hours, days, months and years.Therefore,
In the equation d=rt
t = d/r
when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
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9. Todd takes out a student loan for $25,000. The annual simple interest
rate on the loan is 4.75%. How many years will it take for the interest on
the loan to reach $7,125?
Answers
Answer:6
Step-by-step explanation:
4.75% of 25000 is 1,187.5
Times 6 it's 7,125
Solve for the indicated variable. a+b²=² for b (b>0) 9 X 0/6 5
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Step 1: The solution for the indicated variable b is b = ±√a.
Step 2: To solve the equation a + b² = ² for b, we need to isolate the variable b.
First, let's subtract 'a' from both sides of the equation: b² = ² - a.
Next, we take the square root of both sides to solve for b: b = ±√(² - a).
Since the question specifies that b > 0, we can discard the negative square root solution. Therefore, the solution for b is b = √(² - a).
Step 3: In the given equation, a + b² = ², we need to solve for the variable b. To do this, we follow a few steps. First, we subtract 'a' from both sides of the equation to isolate the term b²: b² = ² - a. Next, we take the square root of both sides to solve for b. However, we must consider that the question specifies b > 0. Therefore, we discard the negative square root solution and obtain the final solution: b = √(² - a). This means that the value of b is equal to the positive square root of the quantity (² - a).
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If tan A = 3/4, m < A =
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Answer:
2/1 a
Step-by-step explanation:
Which is NOT equivalent to 10(cubed)?
a.10 × 10 × 100
b.100 × 10
c.10 × 10 × 10
d.1,000
arent all of these correct??
Answers
Answer:
A
Step-by-step explanation:
A is incorrect as 10x10x100 would equal 10x10x10x10, as opposed to 10x10x10.
What are the three types of horizontal asymptotes?
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There are 3 cases to consider when determining horizontal asymptotes:
1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
2) Case 2: if: degree of numerator = degree of denominator.
3) Case 3: if: degree of numerator > degree of denominator.
If C = x – 9x^2 and D = -x + 3, find an expression that equals 3C – D in
standard form.
Answers
stay home stay safe
hope you understand
El denominador de una fracción es 3 unidades menor que su numerador, y la fracción es 2,1 unidades mayor que su recíproco. ¿Cuál es esta fracción si tanto su numerador como su denominador son números enteros?
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Además, sabemos que la fracción es 2,1 unidades mayor que su recíproco, que es (x-3)/x. Por lo tanto, podemos escribir la siguiente ecuación:
x/(x-3) = (x-3)/x + 2,1
Para resolver esta ecuación, primero simplifiquemos la fracción a la derecha del signo igual:
x/(x-3) = ((x-3) + 2,1x)/x
x/(x-3) = (3,1x - 3)/x
Ahora podemos multiplicar ambos lados de la ecuación por (x-3) para eliminar el denominador de la fracción a la izquierda:
x = (3,1x - 3)(x-3)/x
x = 3,1x - 3
0,1x = 3
x = 30
Por lo tanto, el numerador de la fracción es 30, y el denominador es (30 - 3) = 27. La fracción es 30/27, que se puede simplificar dividiendo ambos términos por 3 para obtener 10/9.
Por lo tanto, la fracción es 10/9.
Fully Factorise 5D^2+11d
Answers
Answer:
d × (5d + 11)
Step-by-step explanation:
5d² + 11d
Factor out d from the expression
When d is factored out;
5d² becomes 5d
11d becomes 11
And d multiplies it all;
d × (5d + 11)
How can you use properties of operations to expand expressions? QUICK PLEASE!!!!!!!!!!!!!!!!!
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Step-by-step explanation:
hope it helps you
thank you
1945 men and 2849 women regiter to audition for a inging competition. The number of participant who are not ucceful in their audition what’ five time the number of thoe who are ucceful. How many participant were ucceful
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1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799 participants were successful.
The successful participants can be calculate by solving a linear equation as follows
First, it's crucial to understand linear equations.
Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.
Linear equations are those with one degree.
In this case, a linear equation must be resolved.
1945 for the men's total
Women are present in 2849.
Participants in total: 1945 + 2849 = 4794
Let x be the proportion of participants that were successful.
Men who failed were 5 times as numerous.
Participants in total: 5x + x = 6x
Due to the issue,
The linear formula is
6x = 4794
x = 4794/6
x = 799
799 of the participants had success.
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MO is a perpendicular bisector of NP. Find the value of x
6x - 1 3x+8
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MO is a perpendicular bisector of NP.The value of x is 3
What is an A perpendicular bisector?Lines that cross each side's midpoint and are perpendicular to the specified side are known as a triangle's perpendicular bisectors.The circumcenter (Durell 1928), which is also the centre of the triangle's circumcircle,
Measuring the length of the line segment you need to bisect is an easy approach to discover a perpendicular bisector. Find the midway of the measured length by dividing it by two. From this midway, extend a line at a 90° angle.
6x−1=3x+8
⇒6x−3x=8+1
⇒3x=9
⇒x = 9 / 3 =3
∴x = 3.
MO is a perpendicular bisector of NP.The value of x is 3
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Determine the equation of the parabola graphed below. Note: be sure to consider the negative sign already present in the template equation when entering your answer. A parabola is plotted, concave up, with vertex located at coordinates negative three and negative four.
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The equation of the graphed parabola is y=a\((x+3)^{2}\)-4.
Given that parabola is plotted, concave up , with vertex located at coordinates (-3,-4).
We are required to find the equation of the graphed parabola.
The equation of a quadratic function of vertex (h,k) is given by:
y=a\((x-h)^{2}\)+k
In the above equation a is the leading coefficient.
We have been given point (-3,-4).
We have to just put the value of h=-3 and k=-4 and the required equation will be as under:
y=a\((x+3)^{2}\)-4
Hence the equation of the parabola which is plotted, concave up, with vertex located at coordinates (-3,-4) is y=a\((x+3)^{2}\)-4.
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Example 3: Random variable X is distributed with the following pdf. sin(x), for 0 < xsa f(x)= 10, otherwise a. What is the value of the constant A? b. What is the corresponding CDF? c. What is E(x)? d. What is Var(x)?
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The corresponding CDF is:F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6.
The value of the constant A can be obtained by using the normalization condition that the integral of the PDF function over the entire possible range of X must be equal to 1. So, we can write the following integral to solve for
A:(∫f(x) dx) from 0 to π/2=∫A sin(x) dx= A [-cos(x)] evaluated at π/2 and 0= -A(cos(π/2) - cos(0))= A (1 - 0) =1. Therefore, the value of the constant A is 1. b. The CDF of the given random variable X is given as follows:
F(x)=∫f(x)dx from 0 to x, for 0 < x < π/2=∫sin(x) dx from 0 to x= [-cos(x)] evaluated at x and 0= -cos(x) - (-cos(0))= 1 - cos(x) for 0 < x < π/2=1 for x ≥ π/2. So, the corresponding CDF is as follows:
F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X can be obtained using the following formula:
E(X) = ∫xf(x)dx from 0 to π/2=∫x sin(x) dx from 0 to π/2= [-x cos(x)] evaluated at π/2 and 0 - ∫-cos(x) dx from 0 to π/2= -0 + cos(0) - ([-cos(x)] evaluated at π/2 and 0)= 0 + 1 - (-1)= 2. So, the expected value of the given random variable X is 2.
d. The variance of the given random variable X can be obtained using the following formula:
Var(X) = E(X²) - [E(X)]²=∫x² f(x)dx from 0 to π/2 - [E(X)]²=∫x² sin(x)dx from 0 to π/2 - (2)²= [-x² cos(x)] evaluated at π/2 and 0 + ∫2x cos(x)dx from 0 to π/2 - 4= -0 + π²/4 - 4 + (2 sin(x) + 2x cos(x)) evaluated at π/2 and 0= π²/4 - 2 - 4 + 2 + 2π= π²/4 + 2π - 6. So, the variance of the given random variable X is π²/4 + 2π - 6
Hence, the answer is: a. The value of the constant A is 1.b. The corresponding CDF is : F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6
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The Drama club is selling tickets to a play for x dollars each for each ticket they sell the school receives x dollars and the drama club receives the remaining amount the drama club sells 108 tickets for a total of (108x+972) dollars how much money does the drama club receive for each ticket that they sell thanks
Answers
The drama club receives $7 for each ticket that they sell.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given,
Amount received by school = x dollars
Amount received by school for 96 tickets = 96x
Amount received by drama club = remaining amount after school
Total amount of 96 tickets = 96x+672
Here,
96x is the share of school
672 is the share of drama club for 96 tickets.
Therefore;
96 tickets =672 dollars
1 ticket = 672/96
1 ticket = 7 dollars
The drama club receives $7 for each ticket that they sell.
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a triangle undergoes a dilation with a scale factor of 9/5. the resulting triangle is _[blank]_ the original triangle.
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The resulting triangle is 9/5 the original triangle.
How triangle dilated with scale factor?
The focuses in the direction planes are A(0, 2), B(2, 1), C(- 2, - 2). In the event that the scale factor is 2, each direction point of the first triangle is duplicated by the scale factor 2. Subsequently, the expanded triangle will be A'B'C' and the direction focuses got are A'(0, 4), B'(4, 2), C'(- 4, - 4).
According to question:Let we have a triangle ABC,If this triangle undergoes a dilation with a scale factor of 9/5,
Then changed triangle is A'B'C'
So, relation between them is A'B'C' = 9/5(ABC)
Thus, the resulting triangle is 9/5 multiple of triangle ABC.
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Write the coordinates of the vertices after a transition 5 units right
S=
U=
T=
Answers
Answer:
S = (-2, -3)
U = (-5, -9)
T = (3, -3)
Step-by-step explanation:
The x-value of the coordinate point is responsible for the shift left and right. Right is positive on a coordinate plane, so we will add 5 to each x-value.
S = (-7, -3) ➜ (-7 + 5, -3) ➜ (-2, -3)
U = (-10, -9) ➜ (-10 + 5, -9) ➜ (-5, -9)
T = (-2, 3) ➜ (-2 + 5, -3) ➜ (3, -3)
I need help with this fast very fast
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Answer:
\(\sqrt[3]{-27} ,\ \sqrt[4]{81} ,\ 9^{3/2},\ 27^{4/3}\)-------------------------------
Find the value of each expression:
1) \(\sqrt[3]{-27} =\sqrt[3]{(-3)^3} =(-3)^{3/3}=-3\)2) \(9^{3/2}=(3^2)^{3/2}=3^{2*3/2}=3^3=27\)3) \(27^{4/3}=(3^3)^{4/3}=3^{3*4/3}=3^4=81\)4) \(\sqrt[4]{81}=\sqrt[4]{3^4}=3^{4/4}=3^1=3\)Order the values from least to greatest:
-3, 3, 27, 81The equation y = 25,000(1+0.04)* models the salary of an employe
who receives an annual raise. Give the meaning of each number and
variable in this equation.
Answers
The equation can be interpreted as follows: The salary (y) of the employee is equal to the initial salary (25,000) multiplied by the total percentage increase in the salary (1 + 0.04).
In the equation y = 25,000(1 + 0.04), each number and variable has a specific meaning:
y: This represents the salary of the employee after receiving the annual raise. It is the dependent variable that we are trying to determine.
25,000: This is the initial salary of the employee before the annual raise. It is a constant value and represents the starting point for the salary calculation.
1: This represents the base value of 100% or 100% of the initial salary. It is added to the raise percentage to calculate the total percentage increase in the salary.
0.04: This represents the raise percentage, which is 4% in this case. It signifies that the employee's salary will increase by 4% of the initial salary.
By calculating this equation, we can determine the final salary of the employee after the annual raise.
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6. If mLABE = 2n +7 and mZEBF = 4n-13, find mZABE.
Answers
Answer: 18°
Step-by-step explanation:
The question doesn’t state where F is in relation to A, B or E, so we have to guess. Here are two guesses.
If ABF is a straight line then ∠ABE+∠EBF=180, so 2n+7+4n-13=180, 6n-6=180.
Divide each side by 6: n-1=30 so n=31 and m∠ABE=2n+7=2×31+7=62+7=69°.
If BF bisects ∠ABE, then ∠ABE=2×∠EBF, so 2n+7=2(4n-13)=8n-26. So 6n=33 and, dividing both sides by 3: 2n=11. Therefore m∠ABE=2n+7=11+7=18°.
Let x2+8x=7 .
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x2+8x+ ? = ?
Answers
Answer:
x²+8x+16=24
Step-by-step explanation:
x²+8x=7 (+16)
x²+8x+16=7+16=24
(x+4)²=24
The values to be entered in the boxes are 16 and 23.
Given the equation is \(x^2\)+8x=7
To complete the square for the equation \(x^2\) + 8x = 7, we need to add a constant term on both sides of the equation to create a perfect square trinomial on the left side.
First, take half of the coefficient of the x-term (8) and square it:
\((8/2)^2\) = 16
Now, add 16 to both sides of the equation:
\(x^2\) + 8x + 16 = 7 + 16
Simplifying:
\(x^2\) + 8x + 16 = 23
Therefore, the equivalent number sentence after completing the square is \(x^2\) + 8x + 16 = 23
The values to be entered in the boxes are 16 and 23.
Hence, \(x^2\) + 8x + 16 = 23.
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Solve 15 ≥ -3x or x ≥ -2.
{x | x ≤ -5}
{x | x ≥ -5}
{all reals}
Answers
Answer:
I do not quite understand, but i will give it my best shot. 15 > -15.
Step-by-step explanation:
The correct option would be:
{x | x ≥ -5}
I had this same question on a test and I got it right.
A student would like to estimate the height of a statue. The length of the statue's right arm is 45 feet. The stud
right arm is 2 feet long and her height is 5 g
- feet. Use this information to estimate the height of the statue. Hovc-lose
is the approximate height to the statue's actual height of 120 feet, 3 inches from heel to top of head?
Answers
Approximate height to the statue's actual height of 120 feet, 3 inches from heel to top of head is 123.75 feet.
To estimate the height of the statue, the student can use the method of similar triangles. Since the length of the statue's right arm is 45 feet and the length of the student's right arm is 2 feet, the ratio of the lengths of the arms is 45/2 = 22.5. If we assume that the ratio of the heights of the statue and the student is also 22.5, then the height of the statue can be estimated as:
height of statue = height of student x ratio of heights
height of statue = 5.5 x 22.5
height of statue = 123.75 feet
This estimated height of the statue is close to the actual height of 120 feet, 3 inches. It should be noted that this method of estimation assumes that the ratio of the heights of the statue and the student is the same as the ratio of the lengths of their arms. This may not be completely accurate, as the proportions of the statue and the student may be different.
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Solve:
e + 13.2 = 289.47
Answers
Answer:
Evaluate.
15.91828182 = 289.47
کی خا ر کیا - وکی
English please
Answers
Answer:Fank yew mate tea my yellow teeth
Step-by-step explanation:tea tea tea tea tea tea tea tea tea teateatea tea
Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45
Answers
Answer:
30
Step-by-step explanation:
Sum of ages= 40
Let the sons age be x
Fathers age = 3 times x or ,3x
So 3x+x=40
4x= 40
x= 40/4
= 10
Therefore the fathers age = 3x
= 3*10
= 30
Which rectangular equation represents the parametric equations x = t²-4 and y = 2t?
Oy = 2(x² + 4)
* y = 2(x² - 4)
Oy = 2√x+4
O y = 2√√x-4
Answers
Answer:
\(\displaystyle{y=2\sqrt{x+4}}\)
Step-by-step explanation:
We are given parametric equations of:
\(\displaystyle{x=t^2-4}\) and \(\displaystyle{y=2t}\)
Isolate t-variable in \(\displaystyle{x=t^2-4}\) first by adding both sides by 4:
\(\displaystyle{x+4=t^2-4+4}\\\\\displaystyle{x+4=t^2}\)
Square root both sides then write plus-minus:
\(\displaystyle{\sqrt{x+4}=\sqrt{t^2}}\\\\\displaystyle{t=\pm \sqrt{x+4}}\)
Since the choice determines y-term as a function and only positive t-value exists, substitute only \(\displaystyle{t=\sqrt{x+4}}\) in \(\displaystyle{y=2t}\).
Therefore, the answer is \(\displaystyle{y=2\sqrt{x+4}}\)
Answer:
c
Step-by-step explanation:
The average salary for a sales representative in a medical billing company is $46,600 with a standard deviation of $6,400. The coefficient of variation for salaries at this company is
Answers
The coefficient of variation for salaries at the medical billing company is 13.76%, indicating a moderate level of variability in sales representatives' salaries.
The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean and multiplying by 100.
In this case, the standard deviation is $6,400 and the mean salary is $46,600. Thus, the CV is (6,400 / 46,600) * 100 = 0.1376 * 100 = 13.76%. The coefficient of variation provides a standardized measure of variability, allowing us to compare the relative dispersion of salaries between different companies or within the same company across different positions.
In this scenario, a CV of 13.76% indicates a moderate level of variability in salaries among sales representatives at the medical billing company.
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