Write a numerical expression to represent the rate of temperature change in degrees Fahrenheit per foot.
The numerical expression to represent the rate of temperature change in degrees Fahrenheit per foot is 0.14 degrees Celsius per foot.
What do you mean by numerical expression?
A group of numbers that have been written together using the arithmetic operations addition, subtraction, multiplication, and division is known as a numerical expression in mathematics. The number can be stated in a variety of ways, including verbally and numerically.
According to the given question,
To calculate the rate of temperature change in degrees Fahrenheit per foot,
We need to first convert degrees Fahrenheit to degrees Celsius.
To do this, we divide 100 by 5.9.
This yields a result of 0.14 degrees Celsius per foot.
Therefore, the numerical expression to represent the rate of temperature change in degrees Fahrenheit per foot is 0.14 degrees Celsius per foot.
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solve the following inequality.4x-6<10
Answer:
x < 4
Step-by-step explanation:
4x - 6 < 10
4x < 16
x < 4
[tex]4x-6 < 10[/tex]
Add 6 to both sides:
[tex]4x-6+6 < 10+6[/tex]
[tex]4x < 16[/tex]
Divide both sides by 4:
[tex]\dfrac{4x}{4} < \dfrac{16}{4}[/tex]
[tex]\fbox{x} < \fbox{4}[/tex]
Name
1. Consider the expression 7x² + 3x - 4.
Part A
Write the completely factored expression.
Answer:
After factorization the result is: (7x + 4)(x - 1).
Step-by-step explanation:
To factor 7x² + 3x - 4, we can use the following steps:
Look for two numbers that multiply to give the constant term (-4) and add to give the coefficient of the linear term (3). These two numbers are -4 and 1.
Use these numbers to create two binomials, one with a positive sign and one with a negative sign: (7x + 4) and (7x - 1).
Factor the quadratic expression by grouping:
(7x + 4)(x - 1)
We can check that this is the correct answer by multiplying the two binomials:
(7x + 4)(x - 1) = 7x² + 3x - 4
This is the original expression, so we have successfully factored it.
Note: Depending on the specific problem, there may be more than one way to factor the expression. This is just one possible solution.
the product of w and 10
Answer: 10w
Step-by-step explanation:
Write a fraction for which the sum of the numerator and denominator is 20, and the value of the
fraction is equal to 2/3
Answer:
[tex]\dfrac{8}{12}[/tex]
Step-by-step explanation:
Let the unknown fraction be:
[tex]\dfrac{a}{b}[/tex]If the sum of the numerator and denominator is 20 then:
[tex]\implies a+b=20[/tex]
Rewrite the equation to isolate b:
[tex]\implies b=20-a[/tex]
If the fraction is equal to 2/3 then:
[tex]\implies \dfrac{a}{b}=\dfrac{2}{3}[/tex]
Cross multiply:
[tex]\implies 3a=2b[/tex]
Substitute the expression for b into the cross-multiplied equation and solve for a:
[tex]\implies 3a=2(20-a)[/tex]
[tex]\implies 3a=40-2a[/tex]
[tex]\implies 5a=40[/tex]
[tex]\implies a=8[/tex]
Substitute the found value of a into the equation for b and solve for b:
[tex]\implies b=20-8[/tex]
[tex]\implies b=12[/tex]
Therefore, the fraction for which the sum of the numerator and denominator is 20, and the value of the fraction is equal to 2/3 is:
[tex]\dfrac{8}{12}[/tex]In a sale, normal prices are reduced by 15%. The normal price of a pen is reduced by £1.20 Work out the normal price of the pen.
Answer:
The normal price of a pen is £8
Step-by-step explanation:
let p be the normal price.
The statement : “normal prices are reduced by 15%. The normal price of a pen is reduced by £1.20”
Means
[tex]p \times \frac{15}{100} = 1.20[/tex]
Then
[tex]p = 1.20 \times \frac{100}{15} = \frac{120}{15} = 8[/tex]
Answer:
The normal price of the pen is £8
Step-by-step explanation:
Reduced by 15%
Reduced by £1.20
Meaning that 15% is £1.20
To find the 100% or the normal price of the pen we find the 1% first then the 100%
So, 1% = £1.20/15
100% =£1.20/15 x 100
= 8
Checking..
If normal price was 8 and reduction is 15%
8(1- R/100) {R = %}
8(1 -15/100) = 6.8 (Reduced price)
8 - 6.8 = £1.20 ( Reduction price aka the 15%)
Therefore, the normal price of the pen is £8.
what is 1 + 1 i dont know it
Answer:
2
Step-by-step explanation:
1+1=2
XD
Answer:
2
Step-by-step explanation:
I know this is a joke but I don't care
1. Anya is at camp and walks 2km due north and then turns and walks another 3km at a bearing angle of 35° . Find her distance back to camp and the bearing angle from her starting point.
Anya her distance back to camp and the bearing angle from her starting point is 4.78 km North 26.3° West.
Define direction ?
Direction gives the information about the way towards which an object moves or tends.
The angle formed by the 2 km and 3 km is the supplement of the 35 ° angle west of north;
180°- 35° = 145°
We know that the length of two sides and one angle.
The opposite side know angle is the direct distance between the starting and ending points.
Using the law of cosines.
[tex]a^{2} = b^{2} + c^{2} - 2bc (cosA)[/tex]
[tex]a^{2} = 2^{2} + 3^{2} - 2(2)(3)(cos 145)[/tex]
[tex]a^{2} = 4 + 9 - 12 (-0.8192)[/tex]
[tex]a^{2} = 22.83[/tex]
a = 4.78 km
To determine the bearing from the starting point , we must determine the angle between the first leg and the direct path.
Using the law of sines
[tex]\frac{4.78}{sin(145)} = \frac{3}{sin C}[/tex] sin(145°)
4.78 sin C = 3 sin 145°
sin C = [tex]\frac{3 sin (145^ 0)}{4.78}[/tex]
sin C = 0.4438
C = 26.3°
Therefore, the distance and bearing of the end point from the starting point is 4.78 km North 26.3 ° West.
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27 POINTS!! The price of 2 items in P and Q come to a ratio of 4:5. When the price of P is increased of $12 and the price of Q is reduced by $6,the items have the same price. Find the original price of P
The original price P will be $72
To find the ratiosIf we know that the ratio from P to Q is 4:5, we can multiply both sides by y (y = amount multiplied) to get our numbers.
4 × y =?
5 × y =?
We need to input a value in for y.
Let's put 9.
4 × 9 = 36 (P)
5 × 9 = 45 (Q)
Now adding 12 to P, and take away 6 from Q.
36 + 12 = 48
45 - 6 = 39
The numbers aren't the same yet.
Let's use a different value for y.
y = 18
The equations will now look like this:
4 × 18 = 72 (P)
5 × 18 = 90 (Q)
Let's add 12 and 6 to the numbers again.
72 + 12 = 84
90 - 6 = 84
The numbers are now equal
Therefore, the original price of P = $72
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Help a girl out
Given: ray AC is parallel to ray DE, measure angle FED= measure angle GCA= 45°
Prove: ray FE is parallel to ray GC
We have proved that the ray FE is parallel to the ray GC.
What is meant by parallel lines?
In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.
Angle DEF intersects at B
which results in angle DEF corresponding to the angle ACG.
As DEF = 45 so angle ACG = 45
So by the above discussion, we can say that the ray FE is parallel to the ray GC.
Hence, we have proved that the ray FE is parallel to the ray GC.
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(Scientific Notation in the Real World MC)
The length of a bacterial cell is about 3 x 10−6 m, and the length of an amoeba cell is about 4.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
2 x 102
2 x 103
0.7 x 101
6.67 x 102
By dividing the length of bacteria cell to length of amoeba cell we find option (D) i.e 6.67x102 is the correct answer.
what is division?Division is an arithmetic operation that involves dividing one number (the dividend) by another number (the divisor) to find the quotient.
What are different arithmetic operators?Arithmetic operators are symbols that represent mathematical operations that can be performed on one or more operands. The most common arithmetic operators are:
Addition (+): Adds two operands and produces the sum.
Subtraction (-): Subtracts one operand from another and produces the difference.
Multiplication (*): Multiplies two operands and produces the product.
Division (/): Divides one operand by another and produces the quotient.
Modulo (%) : Divides one operand by another and produces the remainder.
Exponentiation (**): Raises one operand to the power of the other and produces the result.
To compare the sizes of the two cells, we need to divide the length of the bacterial cell by the length of the amoeba cell. The result is 3 x 10^−6 m / 4.5 x 10^−4 m = 0.67 x 10^−2.
So, the bacterial cell is approximately 0.67 x 10^−2 times smaller than the amoeba cell.
The correct answer is therefore (D) 6.67 x 10
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URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!
The slant height of the cone c² = 5² + (1)² or c ≅ 5.1.
Option (A) is correct option.
What is cone?A cone is a three-dimensional geometric structure with a smooth transition from a flat, usually circular base to the apex or vertex, a point that creates an axis to the base's center.
Given that,
The radius of the cone = 1 inch,
And the height of the cone = 5 inch.
Let the slant height of the cone is c,
To find the slant height of the cone, use Pythagorean theorem,
c² = 5² + (1)²
c² = 25 + 1
c² = 26
c= 5.09
c ≅ 5.1
The slant height of the cone is 5.1 inch.
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The administration at GSU wants to estimate the number of parking spaces they will need next year. They survey 80 students; 75 of the students in the sample drive to campus by themselves each day. Which of the following is a reason the administration should not calculate a confidence interval for the proportion of all students who drive to campus? Check all that apply. The sample needs to be random but we don’t know if it is. The actual count of drivers is too small. The actual count of those who do not drive to campus is too small. n ^ p is not greater than 10. n ( 1 − ^ p ) is not greater than 10.
The statements that apply to the given random sample situation are:
(A) Despite the idea that the sample must be random, we are unsure of this.
(C) It is underreported how many pupils don't drive to school.
(D) n(1p) is not greater than 10.
What is a Simple random sample?A simple random sample, also known as an SRS, is a smaller group of individuals (also known as a sample) chosen randomly and with equal probability from a larger population.
This technique involves picking a sample at random.
The probability of being chosen from any subset of k persons in SRS is the same as that of being chosen from any other subset of k people.
A simple random sample is an objective sampling approach.
A basic sampling method that can be used in conjunction with other, more advanced sampling techniques is simple random sampling.
So, statements that apply in the given situation are:
- We don't know if the sample is random, despite the fact that it must be.
- The number of students who don't drive to school is undercounted.
- n(1−^p) does not exceed 10.
Therefore, the statements that apply to the given random sample situation are:
(A) Despite the idea that the sample must be random, we are unsure of this.
(C) It is underreported how many pupils don't drive to school.
(D) n(1p) is not greater than 10.
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Correct question:
The administration at GSU wants to estimate the number of parking spaces they will need next year. They survey 80 students; 75 of the students in the sample drive to campus by themselves each day. Which of the following is a reason the administration should not calculate a confidence interval for the proportion of all students who drive to campus? Check all that apply.
a. The sample needs to be random but we don’t know if it is.
b. The actual count of drivers is too small.
c. The actual count of those who does not drive to campus is too small.
d. n ^ p is not greater than 10. n ( 1 − ^ p ) is not greater than 10.
Assume you are buying a bond with a par value of $1,000 which is listed in the Wall Street Journal at a price of 100.50. Find the bond price.
Assume you are buying a bond with a par value of $1,000 which is listed in the Wall Street Journal at a price of 100.50. The bond price is: $1,005.
How to find the bond price?Using this formula to determine the bond price
Bond price = Bond par value × price/100
Where:
Bond par value = $1,000
Price = 100.50
Let plug in the formula
Bond price = $1,000 × 100.50 /100
Bond price = $100,500 /100
Bond price =$1,005
Therefore the bond price is $1,005.
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Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x=0.82412 lb, s=0.00573 lb.
Use a confidence level of 90% to complete parts (a) through (d) below.
a. Identify the critical value ta/2 used for finding the margin of error.
¹a/2=
(Round to two decimal places as needed.)
The critical value is given as 1.69
The margin of error is 0.00161
How to solve for the critical valueWe are to find the critical value ta/2 used for finding the margin of error
T∝ / 2 = 1 - 0.10 / 2
1 - 0.05 = 0.95
The critical value at the level if we use the critical value table is 1.69
2. Next we would have to solve for the margin of error
When comparing your results to the actual population value, a margin of error indicates how many percentage points they will deviate.
ME= [tex]z * \frac{s}{\sqrt{n} }[/tex]
z is the critical value = 1.69
s = standard deviation = 0.00573
n = sample size
where z = 1.69
s = 0.00573
n = 36
We would have to put these values in the formula above to get the margin of error
[tex]1.69 * \frac{0.00573}{\sqrt{36} }[/tex]
Margin of error = 0.00161
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10. (04.02 LC)
For the following system, if you isolated x in the second equation to use the substitution method, what expression would you substitute into the first equation? (1 point)
2x+y=8
-x-3y=-12
O 3y + 12
O-3y + 12
O 3y - 12
-3y - 12
The expression that we can use to substitute into the first equation is
x = - 3y + 12.
Substitution Method:
The algebraic approach to solving linear equations is known as the substitution method. This procedure involves substituting a variable's value from one equation into the other. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.
Here we have
2x + y = 8 ---- (1)
- x - 3y = -12 ----- (2)
We can isolate x in the second equation as given below
=> - x - 3y = -12
Add 3y on both sides
=> - x - 3y + 3y = - 12 + 3y
=> - x = - 12 + 3y
Multiply by -1 on both sides
=> -(- x) = - (- 12 + 3y)
=> x = + 12 - 3y
=> x = - 3y + 12
Therefore,
The expression that we can use to substitute into the first equation is
x = - 3y + 12.
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At a particular restaurant, each slider has
225 calories and each chicken wing has 70
calories. A combination meal with sliders
and chicken wings has a total of 10 sliders
and chicken wings altogether and
contains 1165 calories. Write a system of
equations that could be used to determine
the number of sliders in the combination
meal and the number of chicken wings in
the combination meal. Define the
variables that you use to write the system.
Let x be the number of sliders in the combination meal and y be the number of chicken wings in the combination meal. We can write the first equation in the system by equating the total number of sliders and chicken wings in the combination meal with the sum of the number of sliders and the number of chicken wings. Since the combination meal has 10 sliders and chicken wings altogether, we can write the equation x + y = 10.
The second equation in the system can be written by equating the total number of calories in the combination meal with the sum of the number of calories in the sliders and the number of calories in the chicken wings. Since each slider has 225 calories and each chicken wing has 70 calories, the total number of calories in the sliders is 225x and the total number of calories in the chicken wings is 70y. And since the combination meal contains 1165 calories, we can write the equation 225x + 70y = 1165.
Therefore, the system of equations that could be used to determine the number of sliders and chicken wings in the combination meal is x + y = 10 and 225x + 70y = 1165.
The question asked is in the image attached below.
Answers with nice explanation and step wise order will be marked brainliest.
Thanks for your kind help.
Answer:
[tex]y' = \dfrac{1 + x \sin x - x \cos x + \sin x + \cos x}{(\cos x - x)^2}[/tex]
Step-by-step explanation:
[tex] y = \dfrac{x + \sin x}{\cos x - x} [/tex]
Derivative of a quotient:
[tex] \dfrac{d}{dx} \dfrac{f(x)}{g(x)} = \dfrac{g'h - h'g}{h^2} [/tex]
Recall:
[tex] \dfrac{d}{dx} \sin x = \cos x [/tex]
[tex] \dfrac{d}{dx} \cos x = - \sin x [/tex]
[tex] y = \dfrac{x + \sin x}{\cos x - x} [/tex]
[tex] y' = \dfrac{dy}{dx} = \dfrac{(1 + \cos x)(\cos x - x) - [(- \sin x - 1)(x + \sin x)]}{(\cos x - x)^2} [/tex]
[tex]y' = \dfrac{\cos x - x + \cos^2 x - x \cos x - (-x \sin x - \sin^2 x - x - \sin x}{(\cos x - x)^2}[/tex]
[tex]y' = \dfrac{\cos x - x + \cos^2 x - x \cos x + x \sin x + \sin^2 x + x + \sin x}{(\cos x - x)^2}[/tex]
[tex]y' = \dfrac{\sin^2 x + \cos^2 x + x - x - x \cos x + x \sin x + \sin x + \cos x}{(\cos x - x)^2}[/tex]
[tex]y' = \dfrac{1 + x \sin x - x \cos x + \sin x + \cos x}{(\cos x - x)^2}[/tex]
Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $8 teddy bears as party favors. Shanley has $144 to spend on party favors. Enter an inequality to find the number of gift cards x and teddy bears y Shanley could purchase. Give one solution to the inequality.
HELPPPPPPPP PLEASESEEEEEEEE
Answer: 7/3 or 2.333
Step-by-step explanation:
the formula for slope is y2-y1 over x2-x1
so if you apply the formula here its going to be
4-(-3) over 5-2
which is 7 over 3 therefore your slope will be
7/3
Answer:
[tex]m=\frac{7}{3} =2.33333... = 2.\overline{3}[/tex]
Step-by-step explanation:
The length of the side of a quadrilateral are 6 cm, 5 cm, 8cm. and 11cm the perimeter of
the similar quadrilateral is 20 cm.
Find the length of the sides of the second, quadrilateral
Answer:
Step-by-step explanation:
Let's call the side lengths of the first quadrilateral a, b, c, and d, and the side lengths of the second quadrilateral A, B, C, and D. We are given that the perimeter of the second quadrilateral is 20 cm, and that the quadrilaterals are similar. This means that the ratio of the side lengths of the two quadrilaterals is the same for all four sides. Let's call this ratio r. Then we have:
A + B + C + D = 20 cm
and
A/a = B/b = C/c = D/d = r
We can find the value of r by taking the ratio of any two sides of the quadrilaterals. For example, we can take the ratio of A to a:
A/a = r
Substituting the expressions for A and a in terms of r, we get:
(ra)/a = r
Solving for r, we get:
r = a/a = 1
This means that the ratio of the side lengths of the two quadrilaterals is 1. Therefore, the side lengths of the second quadrilateral are equal to the side lengths of the first quadrilateral. Substituting the given values for the side lengths of the first quadrilateral, we get:
A = 6 cm
B = 5 cm
C = 8 cm
D = 11 cm
Therefore, the side lengths of the second quadrilateral are A = 6 cm, B = 5 cm, C = 8 cm, and D = 11 cm.
An environmental engineer graphed the locations of a well and all of the drainage ditches in the vicinity. She positioned the well at (−6,7) and the farthest drainage ditch at (33,7). If each unit on the graph represents 1 foot, then how far away from the well is the farthest drainage ditch?
The farthest drainage ditch is 39 feet away from the well.
What is distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}
Given, an environmental engineer graphed the locations of a well and all the drainage ditches in the vicinity.
She positioned the well at (−6,7) and the farthest drainage ditch at (33,7).
To find the distance:
Let d be the distance.
d = √{(x₂-x₁)² + (y₂-y₁)²}
Here, x₂ = 33, x₁ = -6, y₂ = 7 and y₁ = 7
Substituting the value to the distance formula,
d = √{(33+6)² + (7-7)²}
d = √{(39)² + (0)²}
d = √{(39)²
d = 39
Therefore, the value of d is 39.
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I CAN DETERMINE IF A VALUE IS TRUE GIVEN AN EQUATION.
9. If x = -3, then which of the following equations are true? Put a checkmark on all that apply.
Χ
3-9= 15
-2x+18=24
6x +9=-13
4x-9=-21
-2(-3)+18=24
6+18 = 24
24 = 24
correct6(-3) +9=-13
-18+9 = -13
-9 ≠ - 13
Wrong4(-3)-9=-21
-12 -9 =-21
-21 = -21
CorrectIs 1.765 an example of an integer?
Answer:
No.
Step-by-step explanation:
An integer is defined as a whole number.
The number given, "1.765", is not a whole number, as it includes the decimal .765. 1.765, as implied by decimal point, is a decimal number.
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Can someone evaluate these
1 × ( –6 × – 18 – 8) ÷ 4
–4 – –20 + –5 ×( –11 – –18)
13 – –10 × 16 ÷(14 + –16)
1– –9 × 12 × (–19 + 20)
Answer:
1 × ( –6 × – 18 – 8) ÷ 4=[tex]\frac{1}{404}[/tex]
–4 – –20 + –5 ×( –11 – –18)=[tex]18[/tex]
13 – –10 × 16 ÷(14 + –16)=[tex]173[/tex]
1– –9 × 12 × (–19 + 20)=[tex]110[/tex]
in a survey of 1,000 adults in a country, 722 said that they had eaten fast food at least once in the past month. create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month. use excel to create the confidence interval, rounding to four decimal places.
To create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month, we need to first calculate the sample proportion.
The sample proportion is calculated by dividing the number of adults who ate fast food at least once in the past month (722) by the total number of adults surveyed (1000). This gives us a sample proportion of 0.722.
To calculate the confidence interval, we can use the following formula:
Sample proportion +/- 1.96 * sqrt((Sample proportion * (1 - Sample proportion)) / Sample size)Plugging in the values, we get:
0.722 +/- 1.96 * sqrt((0.722 * (1 - 0.722)) / 1000)This gives us a 95% confidence interval of (0.6901, 0.7539). Rounded to four decimal places, the confidence interval is (0.6901, 0.7539).
Note: To calculate the confidence interval using Excel, you can use the following formula:
=CONFIDENCE.NORM(alpha, standard_dev, size)Where "alpha" is the desired confidence level (e.g., 0.95 for a 95% confidence interval), "standard_dev" is the standard deviation of the sample, and "size" is the sample size. To calculate the standard deviation, you can use the STDEV.P function.
For example, to calculate the lower and upper bounds of the 95% confidence interval, you could use the following formulas:
Lower bound: =CONFIDENCE.NORM(0.95, STDEV.P(A1:A1000), 1000) - (1.96 * STDEV.P(A1:A1000))Upper bound: =CONFIDENCE.NORM(0.95, STDEV.P(A1:A1000), 1000) + (1.96 * STDEV.P(A1:A1000))Where A1:A1000 is a range containing the values "1" for those adults who ate fast food at least once in the past month and "0" for those who did not. This will give you the same result as the manual calculation above.
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Ray AT bisects ∠MAR. If m∠MAT = (8x − 3)° and m∠RAT = (2x + 9)°, what is m∠MAR?
26°
13°
8°
2°
The measure of the angle ∠MAR will be equal to 26°. The correct option is A.
What is an angle bisector?In geometry, an angle bisector is a line that divides an angle into two equal angles. A bisector is something that divides a shape or object into two equal parts. An angle bisector is a ray that divides an angle into two equal parts of the same measurement.
Given that Ray AT bisects ∠MAR. If m∠MAT = (8x − 3)° and m∠RAT = (2x + 9)°,
The two angles ∠MAT and ∠RAT will be equal. Then calculate the value of x.
8x - 3 = 2x + 9
8x - 2x = 9 + 3
6x = 12
x = 2
The angle ∠MAR is calculated as,
∠MAR = 2 x ∠RAT
∠MAR = 2 x ( 2x + 9)
∠MAR = 2 x ( 2 x 2 + 9 )
∠MAR = 2 x ( 13 )
∠MAR = 26°
Option A is correct for the angle ∠MAR.
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Answer:
A all the way
Step-by-step explanation:
Find the least common denominator (LCD) of 1/30 and 9/20
Answer: LCD = 60
Step-by-step explanation:
Rewriting input as fractions if necessary:
1/30, 9/20
For the denominators (30, 20) the least common multiple (LCM) is 60.
Therefore, the least common denominator (LCD) is 60.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/30 = 1/30 × 2/2 = 2/60
9/20 = 9/20 × 3/3 = 27/60
7. (85D) Richards Park charges an admission fee of
$10 plus an hourly fee for each sport that you
choose to participate in. Which equation
represents the cost C, in terms of the number of
hours, h, you pay to sled?
HELP PLEAAASEEE 20 POINTS
Answer:
C. C = $10 +$5h
Step-by-step explanation:
The cost is a $10 admission fee plus $5 per hour for sledding. You want an equation representing the cost C in terms of hours h.
CostThe cost is ...
cost = admission fee + hourly charge
The hourly charge is the product of the cost per hour ($5) and the number of hours (h).
C = $10 +$5h
There are various mathematical equations that help us understand the structures of the ear and how they contribute to hearing. the decibel equation, expressed as db
The decibel equation is used in many different contexts, including acoustics, audiology, and engineering, to measure and compare the intensity of sounds.
The decibel equation is a measure of sound intensity, which is a way to describe the strength or magnitude of a sound. It is expressed as dB, and it is defined as the ratio of the intensity of a sound to a reference intensity. The reference intensity is usually set at a level that is the minimum intensity that a person can hear, which is approximately 0 dB.
The decibel equation is typically written as:
dB = 10 × log10(I / I0)
where I is the intensity of the sound being measured and I0 is the reference intensity. The log10 part of the equation is used to express the ratio of the two intensities on a logarithmic scale, which allows the decibel value to be more easily interpreted.
The decibel scale is logarithmic, which means that a small change in decibel value corresponds to a much larger change in sound intensity. For example, a sound with a decibel value of 60 dB is much louder than a sound with a decibel value of 50 dB, even though the difference between the two values is only 10 dB.
Learn more about the structures of the ear at
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