Answer:
Step-by-step explanation:
the sum of 2 numbers is 90 and one of them is 2 times the other
what are the 2 numbers?
Answer:
as what I think it's 45. maybe
House Loan
Cost: $450,000
Length of Loan: 30 Years
Simple Interest Rate: 6.00%
Yearly Taxes: $2,000
Yearly Insurance: $1,500
What are your Monthly Payments with taxes & insurance:
Step-by-step explanation:
Your monthly payments with taxes and insurance included would be $2,903.71. This is calculated by taking the loan amount of $450,000 and multiplying it by the simple interest rate of 6.00%. The result is $27,000, which is then divided by the length of the loan, 30 years. This gives you
the principal and interest portion of your monthly payment, which is $2,033.33. To that, you add your yearly taxes of $2,000 and insurance of $1,500, divided by 12 months, to get an additional $416.67 and $125, respectively. Adding these two numbers together gives you your total monthly payment of $2,903.71.
CAN SOMEBODY HELP
'Five less than one-fourth of a number'
Answer:
1/8,1/16,1/18,1/20
Step-by-step explanation:
Answer:
4 3/4
Step-by-step explanation:
= 5 - 1/4
= 4 4/4 - 1/4
=4 3/4
Samir and Ayisha are on one side of a river. Katia is on the other side. The distance between Samir and Katia is 82 ft. The distance between Ayisha and Katia is 80 ft. If the angle from Samir to Katia to Ayisha is 18°, how far apart are Samir and Ayisha?
Using Law of Cosines, the square root of a negative number is not a real number, there is no solution for x.
We can use the Law of Cosines to solve this problem. Let's label the distance between Samir and Ayisha as "x". Then, using the Law of Cosines, we have:
cos(18°) = (80² + x² - 82²) / (2 * 80 * x)
Simplifying this equation, we get:
cos(18°) = (x² - 2x + 3996) / (160x)
Multiplying both sides by 160x, we have:
160x * cos(18°) = x² - 2x + 3996
Simplifying, we get:
0 = x² - 2x + 3996 - 160x * cos(18°)
Now we can use the quadratic formula to solve for x:
\(x = [2 \pm \sqrt{(4 - 4(1)(3996 - 160cos(18^o))) ]} / 2\)
\(x = [1 \pm \sqrt{(1 - (3996 - 160cos(1^o°)))} ]\\x = [1 \pm \sqrt{(160cos(18^o) - 3995)]}\)
Plugging in the value of cos(18°) (which is approximately 0.951), we get:
\(x = [1 \pm \sqrt{(160(0.951) - 3995)}]x = [1 \pm \sqrt{(-2494.4)}]\)
Since the square root of a negative number is not a real number, there is no solution for x. Therefore, the problem may be incorrect or incomplete.
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Can someone show me step by step on how to solve this, I'd very much appreciate the help. In the figure below, what is the value of x degrees?
A.180 degrees
B.80 degrees
C.68 degrees
D.32 degrees
Answer:
D.
Step-by-step explanation:
According to the Exterior Angle Theorem, the exterior angle is equal to the sum of the interior angles opposite from the exterior angle. In other words:
\(68+x=100\)
Solve for x. Therefore:
\(m\angle x=32^\circ\)
Our answer is D.
Answer:
we now that all the angles of a triangle equal 180 so we just have to add up angle a and b to get x or angle c
but angle b is the outside angle and we can find this angle by subtracting 100 by 180 to get 80 so
80+68= 148 so
180-148=32
so the answer is
D: 32 degrees
Hope This Helps!!!
Help fast please!!!!!!!!
The value of k that makes the equation 0.000342891 = 3.42891 × \(10^k\) true when k = -4.
What is scientific notation?Scientific notation is a form of writing large numbers with a base that is greater than or equal to 1 and less than 10 and multiplying this base with powers of 10 in the way we can write large numbers in compact form.
Here in the given question, the actual value is 0.000342891 and we need to write it n the form of scientific notation.
We know in scientific notation base should be greater than or equal to 1 and less than 10.
∴ 0.000342891 in scientific notation can be written as 3.42891×10⁻⁴ as we have moved the decimal 4 digits to the right of the actual value.
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Use Secant method to find solutions accurate to within 10^−5 for the following problems. (e^x) + (2^-x) + 2 cos x − 6 = 0 for 1 ≤ x ≤ 2.
Hi! I've tried doing this but on the third iteration I find that P2 equals two, which is the same as P1, so the secant method just keeps zeroing out. I am using 10 sig figs in my variables so I don't think that is the problem. Thanks in advance!
The answer to the equation (e^x) + (2^-x) + 2 cos(x) - 6 = 0 accurate to within 10^-5 for 1 ≤ x ≤ 2 is approximately x ≈ 1.3907, obtained using the Secant method.
Secant method to find the solutions to the equation (e^x) + (2^-x) + 2 cos(x) - 6 = 0 for 1 ≤ x ≤ 2.
Step 1:
Choose initial guesses x0 = 1 and x1 = 2.
Step 2:
Calculate f(x0) and f(x1):
f(x0) = (e^1) + (2^-1) + 2 cos(1) - 6 ≈ -3.4687
f(x1) = (e^2) + (2^-2) + 2 cos(2) - 6 ≈ 2.1086
Step 3:
Calculate the next approximation, xn:
xn = x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0))
= 2 - (2.1086 * (2 - 1)) / (2.1086 - (-3.4687))
≈ 1.3907
Step 4:
Update the values of x0 and x1:
x0 = x1 = 2
x1 = xn = 1.3907
Repeat steps 2-4 until the desired accuracy is achieved.
Let's perform one more iteration.
Step 2:
Calculate f(x0) and f(x1):
f(x0) = (e^2) + (2^-2) + 2 cos(2) - 6 ≈ 2.1086
f(x1) = (e^1.3907) + (2^-1.3907) + 2 cos(1.3907) - 6 ≈ -0.00001754
Step 3:
Calculate the next approximation, xn:
xn = x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0))
= 1.3907 - (-0.00001754 * (1.3907 - 2)) / (-0.00001754 - 2.1086)
≈ 1.3907
Since the calculated xn is the same as the previous iteration, we can conclude that the solution has converged.
Therefore, the solution to the equation (e^x) + (2^-x) + 2 cos(x) - 6 = 0 accurate to within 10^-5 for 1 ≤ x ≤ 2 is approximately x ≈ 1.3907.
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15 POINTS NEED ASAP PLS!!!!
The table shows the rates for sending text messages. Are the rates proportional??
Explain.
I need this quick pls answer thanks
Answer:
Need a pic to answer your question
Anyone can help with this?
The value of x of chord = 5
By definition of circle,
The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.
The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.
⇒ 6 (6 + x) = 7 (7 + 11)
Solve for x;
⇒ 36 + 6x = 7 × 18
⇒ 36 + 6x = 126
⇒ 6x = 126 - 36
⇒ 6x = 90
⇒ x = 15
Thus, The value of x = 5
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49. Luke is putting a floor mat on his bathroom floor. The mat is
4 feet wide and 5 feet long. The floor is square with sides that
are 12 feet. The center of the mat is 73 feet from the wall.
X
733 ft
- Floor mat
bes stser pelazar to vilidad
Determine the distance from the edge of the mat, x, to the
opposite wall.
Answer:
54
Step-by-step explanation
(area of mat subtracted from area of room)-center of mat to wall
What kind of math should i tutor my 11 year old brother on? I dont remember what 6th graders learn.
Answer:
Well the sixth grade curriculum are number sense and operations, measurement, functions and probabilities. Hope you guys figure it out <3
Find the following probabilities: (a) Y is distribuled χ 4
2
. Find Pr(Y>9.49). (b) Y is distributed F 4,[infinity]
. Find Pr(Y<3.32). (c) Y is distributed N(500,10000). Find Pr(Y>696 or Y<304).
(a) Pr(Y > 9.49) is approximately 1 - 0.9951 = 0.0049, or 0.49%.
(b) Pr(Y < 3.32) is approximately 0.95, or 95%.
(c) To find Pr(Y > 696 or Y < 304), we add the probabilities:
Pr(Y > 696 or Y < 304) ≈ 0.4222 + 0.025 ≈ 0.4472, or 44.72%.
(a) To find Pr(Y > 9.49) where Y is distributed χ²(4), we need to calculate the cumulative distribution function (CDF) for χ²(4) and subtract it from 1.
Using a statistical software or a chi-square distribution table, we find that the CDF for χ²(4) at 9.49 is approximately 0.9951. Therefore, Pr(Y > 9.49) is approximately 1 - 0.9951 = 0.0049, or 0.49%.
(b) To find Pr(Y < 3.32) where Y is distributed F₄,∞, we need to calculate the cumulative distribution function (CDF) for F₄,∞ at 3.32.
Using a statistical software or an F-distribution table, we find that the CDF for F₄,∞ at 3.32 is approximately 0.95. Therefore, Pr(Y < 3.32) is approximately 0.95, or 95%.
(c) To find Pr(Y > 696 or Y < 304) where Y is distributed N(500, 10000), we need to standardize the values and use the standard normal distribution.
First, we standardize 696 and 304 using the formula Z = (Y - μ) / σ, where μ is the mean and σ is the standard deviation of the normal distribution.
For 696:
Z = (696 - 500) / √10000 = 0.196
For 304:
Z = (304 - 500) / √10000 = -1.96
Using a standard normal distribution table or a statistical software, we find the following probabilities:
Pr(Y > 696) = Pr(Z > 0.196) ≈ 0.4222
Pr(Y < 304) = Pr(Z < -1.96) ≈ 0.025
To find Pr(Y > 696 or Y < 304), we add the probabilities:
Pr(Y > 696 or Y < 304) ≈ 0.4222 + 0.025 ≈ 0.4472, or 44.72%.
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I'J'is a translation of IJ Write the translation rule.
Answer:
(x+6), (y+9)
Step-by-step explanation:
The x coordinate of J goes from -7 to -1, so it is translated x+6
The y coordinate of j goes from -8 to 1, which is a difference of 9, so it's translated y + 9
calculate averages A-C, thanks.
EX#1 - Calculate the average of the following: a- 10, 20, 30 b- 5, 10, 15, 20 C-1, 5, 10, 15, 20
Answer:
A = 20
B = 12.5
C = 10.2
Step-by-step explanation:
A = (10 + 20 + 30)/3 = 20
B = (5 + 10 + 15 + 20) = 12.5
C = (1 + 5 + 10 + 15 + 20) = 10.2
PLS HELP ME ASAP!! 30 points! Which triangle congruence theorem could be used to prove the following two triangles congruent? ASA, SAS, AAS, or not enough info
The best triangle congruent theorem for the image is Angle-Angle-Side (AAS)
How to prove congruency of Triangles?Two triangles are congruent if they have exactly the same three sides and exactly the same three angles.
From triangle ABC,
<BAC is given
<ABC=90⁰
<BCA is not given
Also, in triangle ACD,
<ACD is given
<CDA =90⁰
<DAC is not given
Therefore <BAC=<ACD (given)
<CDA=<ABC=90
<DAC=<BCA (not given)
Therefore, ΔABC=ΔACD (AAS)
In conclusion, The two triangles are congruent with SSA theorem.
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a
certain driving test requires the driver to stop with the front
wheel of the vehicle inside a rectangular box drawn on the
pavement. the box is 80 inches long and has a width that is 25
inches less
The driver has to stop the vehicle inside a 55-inch wide rectangular box.
The driving test requires the driver to stop with the front wheel of the vehicle inside a rectangular box drawn on the pavement. The box is 80 inches long and has a width that is 25 inches less.
A rectangular box drawn on the pavement for a driving test is 80 inches long and 25 inches less wide. Let's assume that the width of the box is w inches.
According to the problem,w = 80 - 25 = 55.
Therefore, the width of the box is 55 inches.
In the test, the driver has to stop with the front wheel of the vehicle inside the box, which means the vehicle's tire has to fit inside the box completely.
By knowing the box width is 55 inches, we can conclude that the driver has to stop the vehicle inside a 55-inch wide rectangular box.
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The answer: 66.7%
66.7% is the answer
Answer:
66.7%
Step-by-step explanation:
Evaluate. x =2 and y=-1
(3x)² (y) I need help pleaseeee
Answer:
- 36
Step-by-step explanation:
(3x)² (y) ← substitute x = 2, y = - 1 into the expression
= (3(2))² (- 1)
= (6)² × - 1
= 36 × - 1
= - 36
Se conoce que 6 jarras cuestan lo mismo que 5 cubiertos y que 3 cubiertos cuestan S/. 7.20, ¿Cuánto costarán 7 jarras? (2 PUNTOS)
Answer:
7 jarras costarán 14 $
Step-by-step explanation:
Si 3 cubiertos cuestan 7.20 $
1 cubierto cuesta 7.20/3 = 2.40 $
y 5 cubiertos cuestan 5* 2.40 = 12 $
que también cuestan 6 jarras = 12 $
Luego 1 jarra cuesta 12/6 = 2 $
Por lo que 7 jarras costarán: 7 * 2 = 14 $
GIVING 10
POINTS FOR CORRECT ANSWER!
Answer:
Step-by-step explanation: Since both the numerator and the denominator have a minus (-), they even each other out and the minus signs can be removed. Then we are left with this:
13
23
Now that both the dividend and divisor are positive numbers, we can simply divide 13 by 23 as follows:
13 ÷ 23 = 0.565217391304348
Which means that this is the answer to "What is negative 13 divided by negative 23?":
(-13) ÷ (-23) = 0.565217391304348
Answer:
t = -299
Step-by-step explanation:
\(\frac{t}{-13} = 23\\\\ t = 23 * -13\\\\t = -299\\\\Check:\\-\frac{-299}{-13} = 23\)
Need help with this problem
Please help me i don't know what to do
The diagonal bisects KE is divided into two equal sides, KN and NM, then, KN = MN
ACEG is a square because a quadrilaterals has four congruent sides and four right angles, with two sets of parallel sides
How to prove the statementTo prove the statement, we have to know the different properties of a parallelogram.
We have;
Opposite sides are parallel. Opposite sides are congruent.Opposite angles are congruent. Same-side interior angles are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.The diagonal bisects KE is divided into;
KN and NM thus KN = MN
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Write the equation of the line passing through the points (0, 10) and (2, 14) in the form ax + y = c. What is the value of a?
Answer:
Step-by-step explanation:
To find the equation of the line passing through the points (0, 10) and (2, 14) in the form ax + y = c, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line. We can use the point (0, 10) as our reference point, so x1 = 0 and y1 = 10. We need to find the slope of the line:
m = (y2 - y1)/(x2 - x1)
where (x2, y2) is the other point on the line. Using (0, 10) and (2, 14), we get:
m = (14 - 10)/(2 - 0) = 2
So the slope of the line is 2. Now we can use the point-slope form of the equation to find the equation of the line:
y - 10 = 2(x - 0)
Simplifying, we get:
y - 10 = 2x
Adding 10 to both sides, we get:
y = 2x + 10
This is the equation of the line in slope-intercept form. To write it in the form ax + y = c, we can rearrange the terms:
-2x + y = 10
Therefore, the value of a is -2.
The equation of the line passing through the points (0, 10) and (2, 14) in the form ax + y = c is 2x - y = -10. The value of a is 2.
Explanation:To find the equation of the line passing through the points (0, 10) and (2, 14), we need to use the slope-intercept form of the equation: y = mx + b. First, let's find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the coordinates, we get m = (14 - 10) / (2 - 0) = 2. Now, we can use one of the points and the slope to find the y-intercept (b). Let's use the point (0, 10). Since y = mx + b, we can rearrange the equation to solve for b: b = y - mx. Plugging in the values, we get b = 10 - (2 * 0) = 10. So the equation of the line is y = 2x + 10. In the form ax + y = c, we can rewrite the equation as 2x - y = -10. Therefore, the value of a is 2.
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Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
If g(x)=1-3/4x find each value
Answer: Replace the x with the number or expression.
Given the function f (x) = 3x - 5, find f (4). ...
Find the value of h (b) = 3b2 - 2b + 1 when b = -3. ...
Find g (2w) when g (x) = x2 - 2x + 1.
Step-by-step explanation:
The coordinates of the points lying on the graph of y = - (3/4)x + 1 represents each value.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following equation of line -
g(x) = 1 - (3/4)x
We can write it as -
y = 1 - (3/4)x
y = - (3/4)x + 1
Plot the graph of the function. The coordinates of the points lying on the graph represents each value.
Therefore, the coordinates of the points lying on the graph of y = - (3/4)x + 1 represents each value.
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Please help!!!!! I need it pleaseeeeeeee
Answer:
(1,-1) Minimum. Hope this helps.
-3( 2r + 7) = 3 pls help
Answer:
R=-4
Step-by-step explanation:
-3(2r+7)=3
-6r-21=3
-6r=24
r=-4
I hope this is correct and have a great day
The graph of a linear system is shown.
Y
9
8
-7
6
5
4
3
2
1
29-8-7-6 -S -4
3
1
2
13
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(- 3, 6 )
Step-by-step explanation:
The solution is at the point of intersection of the 2 lines
The lines intersect at (- 3, 6 ) ← solution
Topic: Are there more male or female students majoring in MBA at a university?
1- Why are you interested in this topic?
2- What is statement?
3- What is the variable?
4- What is the Population?
5- What is the hypothesis?
6- Sampling:
6.1 Sample size
6.2 Sample selection
7- How to format & check the validity of the hypothesis
8- How to reach a conclusion
Answer:
1:
I am interested in this topic because understanding the gender distribution in MBA programs can provide insights into gender representation and opportunities in business and management education. It is important to analyze whether there are any gender disparities in this field.
2
The statement is to determine whether there are more male or female students majoring in MBA at a specific university.
3
The variable is the gender of the students majoring in MBA.
4
The population is all the students majoring in MBA at the university being studied.
5:
The hypothesis could be: "There is an equal number of male and female students majoring in MBA at the university."
6
6.1 The sample size would depend on the specific study design and the number of MBA students at the university. It should be large enough to provide a representative sample.
6.2 The sample selection should be random or systematic to ensure unbiased representation of the MBA students at the university.
7
To format and check the validity of the hypothesis, statistical analysis can be conducted. This could involve collecting data on the gender of MBA students, analyzing the proportions of male and female students, and performing a hypothesis test using appropriate statistical methods.
8
To reach a conclusion, the results of the statistical analysis need to be interpreted. If the p-value is less than the predetermined significance level (e.g., 0.05), the null hypothesis can be rejected, indicating that there is a significant difference in the number of male and female students majoring in MBA. Conversely, if the p-value is greater than the significance level, we fail to reject the null hypothesis, suggesting that there is no significant difference in the gender distribution.
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what are the coordinates of the center and length of the radius of the circle whose equation is x^2 y^2-12y -20.25
Therefore, the center of the circle is located at (0, 6), and the length of the radius is approximately equal to 7.43.
To determine the coordinates of the center and length of the radius of the circle, we need to rewrite the given equation in standard form, which is\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center coordinates and r represents the radius.
Given equation: \(x^2 + y^2 - 12y - 20.25 = 0\)
To complete the square, we need to add and subtract the appropriate terms on the left side of the equation:
\(x^2 + y^2 - 12y - 20.25 + 36 = 36\)
\(x^2 + (y^2 - 12y + 36) - 20.25 + 36 = 36\)
Simplifying further:
\(x^2 + (y - 6)^2 = 55.25\)
Comparing this equation with the standard form, we can identify the following values:
Center coordinates: (h, k) = (0, 6)
Radius length:\(r^2\) = 55.25, so the radius length is √55.25.
Therefore, the center of the circle is located at (0, 6), and the length of the radius is approximately equal to 7.43.
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