Answer:
q = 6
Step-by-step explanation:
|q - 8| = 14
The negatives within an absolute value turn positive so it's really:
q + 8 = 14
q = 6
lines l and m are parallel if angle 3 is 30 degrees what is the measure of angle 8? please help
The measure οf angle 8 is 30 degrees.
What is interiοr angles?An interiοr angle is a shape's internal angle. The clοsed shape with sides and vertices is a pοlygοn.
If lines l and m are parallel, then alternate interiοr angles 3 and 8 are cοngruent.
Sο if angle 3 measures 30 degrees, then angle 8 alsο measures 30 degrees.
Therefοre, the measure οf angle 8 is 30 degrees.
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Find the value of tan U rounded to the
nearest hundredth, if necessary.
T
LO
U
12
13
S
The value of tan U rounded to the nearest hundredth is 2.4
U = tan⁻¹(2.4)
U = 67.38°
The three sides of a right triangle are called-
Perpendicular,Base ( the side on which perpendicular stands)Hypotenuse (the side opposite to the right angle). Tan θ = Perpendicular / BaseAccording to this question in the right angled triangle ΔSTU
TS = Perpendicular = 12
TU = Base = 5
US = Hypotenuse = 13
Tan θ = Perpendicular / Base = 12/5 = 2.4
θ = 67.38°
Hence, Tan U = 2.4 and U = 67.38°
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Graph the line whose x-intercept is 5 and whose y-intercept is -6.
Answer:
See attached image
Step-by-step explanation:
We can easily graph the equation if we know it’s y and x intercepts. We can plot these points on a coordinate plane then connect them using a ruler, then extend these further.
Mathematically, we can find the slope which is rise over run. Every time x increases by 5, y increases by 6. This means the slope is \(\frac{6}{5}\). We also know the y-intercept is -6, so the equation is \(y=\frac{6}{5}x - 6\).
Hope this helped!
helppppppppppppppppp
Answer:
i dont get it
Step-by-step explanation:
A survey is conducted to investigate the self-identified eye colors of a representative portion of a population. The table shows the results.
Based on the table, to the nearest whole number, how many people in the total population of 60,000 have green eyes?
Responses
140 people
140 people
700 people
700 people
1,400 people
1,400 people
7,000 people
Based on the table, to the nearest whole number, 7000 people in the total population of 60,000 have green eyes.
We know that;
An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.
Here, We have;
The total number of respondents in the survey is:
= 32 + 14 + 25 + 49
= 120
And, The proportion of respondents with green eyes is:
= 14/120
= 0.1167
Hence, To estimate the number of people in the total population of 60,000 who have green eyes, we can multiply the proportion by the total population:
0.1167 x 60,000 = 7,002
After Rounding this to the nearest whole number gives us:
7,002 ≈ 7,000
Therefore, The answer is, 7,000 people.
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Complete question;A survey is conducted to investigate the self-identified eye colors of a representative portion of a population. The table shows the results.
Self-Identified Eye Color
Number of Respondents
blue
32
green
14
hazel
brown
25
49
Based on the table, to the nearest whole number, how many people in the total population of 60,000 have green eyes?
O 140 people
O 700 people
O 1,400 people
O 7,000 people
write the english phrase as an algebraic expression. Let x represent the number
The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7
Writing the english phrase as an algebraic expressionFrom the question, we have the following parameters that can be used in our computation:
seven less than four times a number
Represent the number with x
So:
four times a number means 4x
So, we have
seven less than 4x
seven less than means - 7
So, we have
4x - 7
Hence, the english phrase as an algebraic expression is 4x - 7
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Complete question
write the english phrase as an algebraic expression. Let x represent the number
Seven less than four times a number
20% of 80 = 40% of ________ ?
Answer: 160
Step-by-step explanation:
TA and TB are tangents to O.
OA = 4 and ∠ ATB = 69°.
Find each of the following.
10). ∠ OAT
11). ∠ OTA
12). ∠ AT
13). ∠ BT
The measure of the angles ∠OAT, angle ∠OTA, side AT, and side BT will be 90°, 34.5°, 5.82 units, and 5.82 units, respectively.
Given that:
TA and TB are tangents to O.
OA = 4 and ∠ATB = 69°.
Angle ∠OAT will be 90° because the tangent and radius intersect at a right angle.
Angle ∠OTA is half of the angle ∠ATB. Then we have
∠OTA = ∠ATB/ 2
∠OTA = 69° / 2
∠OTA = 34.5°
The measure of the length AT is calculated as,
tan 34.5° = 4 / AT
AT = 5.82
The measure of the length BT is calculated as,
tan 34.5° = 4 / BT
BT = 5.82
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Contains (1, −3) and has the same stretch factor as
f(x) = 3x2.
Vertex has x-coordinate of −1.
The obtained quadratic function has the same stretch factor as the given function and contains the given point is y = 3x² + 6x - 12
What is defined as the quadratic function?A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function.
Because a quadratic function is indeed a parabolic curve, we use the standard parabola equation.
y = a(x - h)² + k
where a = stretch factor,
h = x-coordinate of vertex and
k = y-coordinate of vertex.
The quadratic function incorporates the point (1, -3) and has the vertex x-coordinate at x = -1. h = -1 is the answer.
It also has the stretch factor of f(x) = 3x². So, a = 3.
Thus, y = a(x - h)² + k
y = 3(x - (-1))² + k
y = 3(x + 1)² + k
Now, because the quadratic function proceeds through (1, -3), we have
y = 3(x + 1)² + k
-3 = 3(1 + 1)² + k
-3 = 3(2)² + k
-3 = 3(4) + k
-3 = 12 + k
k = -3 - 12
k = -15
Similarly, find the value for y.
y = 3(x + 1)² + k
y = 3(x + 1)² - 15
y = 3(x² + 2x + 1) - 15
y = 3x² + 6x + 3 - 15
y = 3x² + 6x - 12
Therefore, the equation of the quadratic function that contains the given point and has the same stretch factor as the given function is y = 3x² + 6x - 12.
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The complete question is-
Write the equation of the quadratic function that contains the given point and has the same stretch factor as the given function.
Contains (1, −3) and has the same stretch factor as
f(x) = 3x².
Vertex has x-coordinate of −1.
Ayuda operaciones y respuesta es para ahora
The perimeter of the given window is 48 centimeter.
From the given figure,
Perimeter of window = 2(Length+Breadth)
= 2(10+14)
= 2×24
= 48 centimeter
Perimeter of house = 2(Length+Breadth)
= 2(37+35)
= 2×72
= 144 centimeter
Perimeter of roof = 2(Length+Breadth)
= 2(37+5)
= 2×42
= 84 centimeter
Therefore, the perimeter of the given window is 48 centimeter.
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Please help 10points!
Find x.
Answer:
The value of x is 19.
Step-by-step explanation:
Given:
m∠1 = (4x + 9)°
m∠2 = (x - 14)°
Since m∠1 and m∠2 are complementary angles, we have:
m∠1 + m∠2 = 90°
Substituting the given expressions for m∠1 and m∠2:
(4x + 9)° + (x - 14)° = 90°
Combining like terms:
4x + 9 + x - 14 = 90
Combining the x terms and the constant terms:
5x - 5 = 90
Adding 5 to both sides:
5x = 90 + 5
Simplifying:
5x = 95
Dividing both sides by 5:
x = 95 / 5
Simplifying further:
x = 19
Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes
Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.
What is a function?
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.
The graph is given below.
From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.
Then the correct option is A.
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African Safari While on a safari in Africa I saw a small herd of zebras and cranes wandering over the grassland. I counted 18 heads in all and counted 60 legs. How many zebras were there and how many cranes
Answer:
6 Cranes
Step-by-step explanation:
Given
Animals: Zebra & Cranes
\(Heads = 18\)
\(Legs = 60\)
Required
Determine the number of Cranes
Represent Zebra with Z and Cranes with C
A Zebra has 1 head and 4 legs
A Crane has 1 head and 2 legs
So:
\(Z + C = 18\)
\(4Z + 2C = 60\)
Make Z the subject in the first equation
\(Z = 18 - C\)
Substitute 18 - C for Z in the second
\(4(18 - C) + 2C = 60\)
\(72 - 4C + 2C = 60\)
Collect Like Terms
\(- 4C + 2C = 60 - 72\)
\(- 2C = -12\)
\(2C = 12\)
Solve for C
\(C= 12/2\)
\(C = 6\)
IMC 2018 5th grade question 14
Answer: 69
Step-by-step explanation:
Denominator of the fraction
2/5.
Denominator of the fraction 13/16.
This is a 20 point question must answer both plzzz plus Brainly
Answer:
Denominator for 2/5 is 5, and denominator for 13/16 is 16.
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
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What’s the correct answer for this?
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The centre coordinates would be the opposite value of what is in the brackets
For example, the x value in the brackets is -3, the centre coordinate x value would be positive 3
The same would apply to the y value
The radius would be the square root of 36
Thus, your answer would be option A
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2. Which scales are equivalent to 1 inch to 1 foot? Select all that apply.
A. 1 to 12
B. 1 to 1
C. 100 to 0.12
. D. 5 to 60
E. 36 to 3
F. 9 to 108
Answer:
A option is correct
Step-by-step explanation:
We know that one foot contain 12inches so 12 inches is equal to one foot
There are 36 inches is equivalent to 3 feet which scales is the correct answer would be option (E).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We know that one foot contains 12 inches.
Therefore 12 inches equal one foot
According to option (E),
36 inches is equivalent to 3 feet.
Therefore, the correct answer would be an option (E).
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2. Consider the line
y = 3/5x -8
What is the
slope of the line perpendicular to this line?
Answer:
The slope of the perpendicular line is \(-\frac{5}{3}\)
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1That means to find the slope of a perpendicular line to a given line, reciprocal its value, and reverse its signEx: If the slope of a line is \(\frac{1}{3}\), then the slope of the line perpendicular to it is -3Let us solve the question
∵ The equation of a line is y = \(\frac{3}{5}\) x - 8
→ The form of the equation is y = m x + b, where m is the slope
∴ The slope of the line is \(\frac{3}{5}\)
→ To find the slope of the line perpendicular to it reciprocal it and
reverse its sign
∵ The reciprocal of \(\frac{3}{5}\) is \(\frac{5}{3}\)
→ Change its sign from positive to negative
∴ The slope of the perpendicular line is \(-\frac{5}{3}\)
1. Find the 15th term in the sequence if a1= 3 and d= 4
2. Find Sn for the arithmetic series where a1= 5, an= 119, n= 20
3. Find Sn for the arithmetic series where a1= 12, d= 6, n= 15
4. Find the 6th term in the geometric sequence where a1= 2, a6= 64, r= 2
5. Find Sn for the geometric series where a1= 2 , r= 4, n= 6
Using the formula, we can conclude that the 15th term in the following sequence is 59.
What is Arithmetic Sequence?A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor.
The common difference in that mathematical progression is the constant difference.
n: The method for determining the nth term is used to locate a particular term in an arithmetic series.
Step 1:
An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d.
Therefore, enter the values a = 2 and d = 3 into the formula to determine the nth term.
So, the formula is:
an = a + (n – 1)d
Now, insert the values as follows:
an = a + (n – 1)d
a15 = 3 + (15 – 1)4
a15 = 3 + (14)4
a15 = 3 + 56
a15 = 59
Therefore, using the formula, we can conclude that the 15th term in the following sequence is 59.
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Correct question:
Find the 15th term in the sequence if a1= 3 and d= 4
Schuyler spent $208 on a sewing machine to make purses. They spend a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The system below represents this situation. 208 + 10x = y 36x = y How many purses must they sell in order to break even? Blank 1:
Answer:
The answer is 8 purses
Step-by-step explanation:
If we multiply 36 by 8, we get $288. If we multiplied 36 by 8 we must also multiply 10 by 8 because it cost 10 dollars on one purse. So y=10(8)+208, y=288
Answer:
8 is correct.
Step-by-step explanation:
What is 75 equal to?
A.) 7x 5
B. 5x5x5x5x5x5x5
C.7x7x7x7x7
D. 5 ‘7
Answer:
C
Step-by-step explanation:
you are multiplying 7 by its self 5 times
Answer:
c. 7x7x7x7x7
Step-by-step explanation:
\(7^{5}\) = 16807
7x5= 35. wrong
5x5x5x5x5x5x5= 78125 wrong
7x7x7x7x7= 16807 correct
\(5^{7}\)= 78125 wrong
The soup pot is 9 inches tall with a radius of 3.5 inches.
What is the volume of the soup pot?
Answer:
volume = 35.257
Step-by-step explanation:
Write 5^-15 with a positive exponent
Given:
\(5^{-15}\)To change a negative exponent to a positive exponent, the variable will change from numerator to denominator and vice versa.
For example:
\(\begin{gathered} P^{-1}\text{ = }\frac{1}{P} \\ \\ We\text{ know that:} \\ 5^{-15}=5^{(15)-1} \\ \\ 5^{(15)-1}\text{ = }\frac{1}{5^{15}} \end{gathered}\)Therefore, we have:
\(5^{-15}\text{ = }\frac{1}{5^{15}}\)ANSWER:
\(\frac{1}{5^{15}}\)7. How many solutions does the given system have?
y = 3x + 1
6x - 2y = -2
A. one solution
B. two solutions
C. infinite solutions
D. no solution
Answer:
C infinite solutions
Step-by-step explanation:
First, put both equations in the form of y=mx+b then you will get the same equation in both. Since both equations are the same they intersect at all the points which means this system has infinite solutions.
please help, thank you!!
Answer:
the answer would be 2
Step-by-step explanation:
you'll get the answer by dividing
When an independent variable in a multiple regression model includes a value of X to a higher power, such as X squared, and this model produces a higher value of R-squared than a linear model, this suggests that the residual plot for the linear equation did not produce a random pattern around the zero line of the residual plot.
True or False
The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data
1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.
2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.
3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.
4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.
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4tan(x)-7=0 for 0<=x<360
Answer:
x = 65.26 degrees or x = 245.26 degrees.
Step-by-step explanation:
To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:
4tan(x) = 7
Then, we can divide both sides by 4 to get:
tan(x) = 7/4
Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:
x = tan^-1(7/4)
Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).
However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).
To find the solution in the first quadrant, we can simply use the value we just calculated:
x = 65.26 degrees (rounded to two decimal places)
To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:
x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)
So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:
x = 65.26 degrees or x = 245.26 degrees.
write the percent as a fraction or a mixed number in simplest form 4.8%
You live across the street from a large shopping mall where the sales tax rate is 6.1%. 195 miles away in another state is a city that charges no sales tax. It costs 41 cents a mile to travel to the other city and back by car. How much merchandise, that is taxable in your city, would you have to buy in the other city to make it worth the cost of the trip?
we wοuld need tο buy at least $2,622.95 wοrth οf taxable merchandise in the οther city tο make it wοrth the cοst οf the trip.
What is the rate?A rate is a special ratiο in which the twο terms are in different units. Fοr example, if a 12-οunce can οf cοrn cοsts 69¢, the rate is 69¢ fοr 12 οunces. This is nοt a ratiο οf twο like units, such as shirts. This is a ratiο οf twο unlike units: cents and οunces.
Let's call the amοunt οf merchandise we need tο buy in the οther city "x". If we buy this amοunt οf merchandise in the οther city, we will save οn sales tax, but we will incur a cοst οf 41 cents per mile fοr driving there and back.
The cοst οf driving there and back is 2 times the distance times the cοst per mile, οr:
2 * 195 * $0.41 = $160.10
Nοw, we need tο calculate hοw much we will save οn sales tax by buying the merchandise in the οther city.
If we buy the same merchandise in οur οwn city, we will have tο pay 6.1% sales tax. Sο, the amοunt we will save οn sales tax is:
0.061 * x
Putting this all tοgether, we want tο find the value οf x that makes the cοst οf the trip ($160.10) equal tο the amοunt we save οn sales tax (0.061 * x):
0.061 * x = $160.10
x = $160.10 / 0.061
x = $2,622.95
Therefοre, we wοuld need tο buy at least $2,622.95 wοrth οf taxable merchandise in the οther city tο make it wοrth the cοst οf the trip.
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