Answers
53) Vertical angles are congruent, so [tex]m\angle IDA=121^{\circ}[/tex]
54) [tex]\angle YDA[/tex] and [tex]\angle YDF[/tex] are supplementary, so [tex]m\angle YDA=180^{\circ}-121^{\circ}=59^{\circ}[/tex]
55) Because vertical angles are congruent, [tex]m\angle FDI=59^{\circ}[/tex]. Now, because DR bisects [tex]\angle FDI[/tex], this means [tex]m\angle RDI=\frac{59}{2}=29.5^{\circ}[/tex]
56) This is a geometric sequence where the next term is obtained by multiplying the previous term by -2, so the next two numbers are 16, -32
Related Questions
The following data is a randomly selected sample of 20 state populations. find the measures of central tendency. you may use technology to find the measures.
Answers
The mean is 6394530.35 and the median is = 3355572.5
The missing data is attached in the answer.
What is Mean ?Mean is the average value of the data points , it is determined by dividing the total sum of the data points to the number of data points.
Mean and Median is the measure of the central; tendency of the data.
Mean is given by
Sum of the observations/number of observations
= (741894 + 6931071....)/20
= 6394530.35
2) To find median
The data needs to be arranged in ascending order
Then the median is the middle number of the arranged data
Here the median is = 3355572.5
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22.
(05.07 MC)
The table shows the values of y for different values of x:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The correlation coefficient for the data is −0.9847. Which statement is true about the data in the table? (1 point)
There is no relationship between x and y.
There is a weak negative relationship between x and y.
There is a strong positive relationship between x and y.
There 22.
(05.07 MC)
The table shows the values of y for different values of x:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The correlation coefficient for the data is −0.9847. Which statement is true about the data in the table? (1 point)
There is no relationship between x and y.
There is a weak negative relationship between x and y.
There is a strong positive relationship between x and y.
There is a strong negative relationship between x and y.
Answers
The option fourth "There is a strong negative relationship between x and y" is correct.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
The options are:
There is no relationship between x and y.There is a weak negative relationship between x and y.There is a strong positive relationship between x and y.There is a strong negative relationship between x and y.We have data:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The value of correlation r = -0.9847
As we know the value of r between -1 to +1
If r = 1 (perfect and positive correlation)
if r = -1 (perfect and negative correlation)
We have r = -0.9847
The value is near to -1 which means there is a strong negative relationship between x and y.
Thus, the option fourth "There is a strong negative relationship between x and y" is correct.
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Find the slope of the line
Answers
Answer:
-3
Step-by-step explanation:
The points (3,-4) and (1,2) lie on the line.
m = (-4-2)/(3-1) = -3
Moscow: -5.5°C Cold Lake: -17.5°C Choose the correct inequality symbol to complete the inequality statement, -5.5°C ________ -17.5°C.
Answers
Answer:
-5.5°C > -17.5°C
Step-by-step explanation:
Since -5.5 is larger than -17.5
The correct inequality symbol to complete the inequality statement is ">" (greater than). [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex].
To understand why this symbol is used, let's compare the two temperatures.
The temperature in Moscow is -5.5C, while the temperature in Cold Lake is [tex]-17.5^{\circ}C[/tex].
Since -5.5 is greater (warmer) than -17.5, use the ">" symbol to indicate that [tex]-5.5^{\circ}C[/tex] is greater than [tex]-17.5^{\circ}C[/tex].
Here's a step-by-step explanation:
Begin by comparing the numerical values of the temperatures: -5.5 and -17.5.Since -5.5 is a higher value (closer to 0) compared to -17.5, it means that Moscow's temperature is warmer than Cold Lake's temperature.The ">" symbol is used to represent "greater than" in an inequality statement.By using the ">" symbol, we express that [tex]-5.5^{\circ}C[/tex] is greater (warmer) than [tex]-17.5^{\circ}C[/tex].In summary, when comparing the temperatures of Moscow and Cold Lake, the correct inequality statement is [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex], indicating that Moscow's temperature is higher (warmer) than Cold Lake's temperature.
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A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
This assumes that the question was meant to read:
"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (3x+2) centimeters." And not "A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."
If the revision is correct, the perimeter is 11x + 1 cm
=============================================
If the question was correctly written, then answer is:
50x^2 - 50x + 9y^2 + 12 y + 29
===============
Step-by-step explanation:
(7x-4) cm
+ (x+3) cm
+ (3x+2) cm
11x + 1 cm
If the question was correctly written as is, then:
(7x-4)(7x−4) = 49x^2 - 56x + 16
+(x+3)(x+3) = + x^2 + 6x + 9
+(3y+2)(3y+2) = +9y^2 + 12 y + 4
50x^2 - 50x + 9y^2 + 12 y + 29 cm
The perimeter of triangle 8x+ 3y + 1.
What is Perimeter of Triangle?The complete length of a triangle's boundary is referred to as its perimeter. A triangle is a polygon with three sides, and there are various varieties of triangles depending on how big the sides and angles are.
The basic formula used to calculate the perimeter of a triangle is:
Perimeter = sum of the three sides
Given:
sides of triangle (7x-4) centimeters, (x+3) centimeters, and (3y+2).
Now, perimeter of triangle
= 7x-4 + x+ 3 + 3y+ 2
=8x + 3y + 5-4
=8x+ 3y + 1
Hence, the perimeter of triangle 8x+ 3y + 1.
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please answer me I will f0ll0w u
Answers
Step-by-step explanation:
1. let n=2, then, n+2= 2+2=4 so 2^2= 4 and 4^2=16 then 16-4=12 which is an even number
2. let n=4, the. n+3=4+3=7, and 4^2=16 and 7^2=49 then 49-16 =33 which is an odd number
please follow me
1) Let ‘n’ be 5
Therefore, (n + 2) = 5 + 2 = 7
=> 5^2 = 25
=> 7^2 = 49
Difference of Squares
= 49 - 25
=> 24
24 is an Even Number.
Hence, proved.
1) Let ‘n’ be 5
Therefore, (n + 3) = 5 + 3 = 8
=> 5^2 = 25
=> 8^2 = 64
Difference of Squares
= 64 - 25
=> 39
39 is an Odd Number.
Hence, proved.
work out the equation of the line
Answers
Step-by-step explanation:
Hi there!
According to the question;
The gradient of line is 1/2 and passes through the point (4,-2).
Since, It has one point and gradient we use one point formula to find the equation of the line.
Note:
One point formula: (y-y1) = m (x-x1)
(4,-2) = (x1,y1)
So, using this formula we get;
(y+2) = 1/2(x-4)
Multiply both sides by 2.
2(y+2) = (1/2)*2(x-4)
2y+4 = x-4
Take 2y+4 in right side
0 = x-4 - (2y+4)
Therefore, x-2y-8 = 0 is the required equation.
Hope it helps!
Hi there!
We're given the following information:
Slope (gradient) = ¹/₂Point = (4,2)With this information, we can go ahead and plug the data into the point slope equation: y - y₁ = m(x - x₁).
Plug in 1/2 for m, and (4,2) for x1 and y1:
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
[tex]\sf{y-(-2)=\dfrac{1}{2}(x-4)}[/tex]
[tex]\sf{y+2=\dfrac{1}{2}(x-4)}[/tex]
[tex]\sf{y+2=\dfrac{1}{2}x-2}\\\sf{y=\dfrac{1}{2}x-2-2}\\\\\sf{y=\dfrac{1}{2}x-4}[/tex]
Hence, y = 1/2x - 4.
I hope that helps! :)
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x? 1. The distributive property: 4x – 12 + 4 < 10 + 6x 2. Combine like terms: 4x – 8 < 10 + 6x 3. The addition property of inequality: 4x < 18 + 6x 4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________ x < –9 x > –9 x < x is less than or equal to negative StartFraction 1 Over 9 EndFraction. x > –x is greater than or equal to negative StartFraction 1 Over 9 EndFraction.
Answers
The inequality 4(x – 3) + 4 < 10 + 6x is solved as x > -9. Then the variable x is greater than the negative 9. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
The inequality equation is given below.
4(x – 3) + 4 < 10 + 6x
Then the steps of solving are given below.
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: x > –9
Then x is greater than the negative 9.
Then the correct option is B.
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what is equivalent to 7^13/7^7
Answers
The equivalent expression to 7^13/7^7 would be 7^6.
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We have given an expression as 7^13/7^7
The equivalent expression;
[tex]\dfrac{7^{13}}{7^7} \\\\7^{13-7}\\\\7^6[/tex]
Hence, The equivalent expression to 7^13/7^7 would be 7^6.
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w = -5?
w2 + 3w − 11
Answers
The value of an expression will be equal to -1.
The complete question is given below:-
If the value of w is -5 then find the value of the expression w² + 3w -11.
What is an expression?Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.
The given expression will be solved as follows:-
E = w² + 3w -11.
E = ( -5 )² + ( 3 x -5 ) -11
E = 25 - -15 - 11
E = 25 - 26
E = -1
Therefore the value of an expression will be equal to -1.
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AP Calculus AB Question from A, P .E* X
(Will give branliest if correct)
Answers
If g(x) = 3 · x - 1 and [tex]f(x) = \sqrt{9-x^{2}}[/tex], then the domain of the division of f(x) by g(x) is equal to the following composite interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)
What is the domain of a function as a result of a binary operator
Binary operators are operators that involves two functions, there are four binary operators: (i) Addition, (ii) Subtraction, (iii) Multiplication, (iv) Division. First, we determine the domains of the functions f(x) and g(x):
f(x):
Domain - [-3, 3]
g(x):
Domain - (- ∞, + ∞)
If we divide f(x) by g(x), then we must take g(x) = 0 into account, since it leads to indetermination. In this case, x = 1/3. Then, the domain of the resulting function:
(f/g)(x):
Domain - [-3, 1/3) ∪ (1/3, 3]
If g(x) = 3 · x - 1 and [tex]f(x) = \sqrt{9-x^{2}}[/tex], then the domain of the division of f(x) by g(x) is equal to the following composite interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)
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simplify 6e × 2f please help
Answers
6 x 2 which gives you 12
then just add the letters which gives you
The answer (12ef) and that’s your answer
There are 130 people in a
sport centre.
73 people use the
gym.
62 people use the swimming pool.
58 people use the track.
22 people use the gym and the pool.
29 people use the pool and the track.
25 people use the gym and the track.
11 people use all three facilities.
A person is selected at random.
What is the probability that this
person doesn't use any facility?
Answers
Answer:
If 11 people use all three facilities, this means:
22 − 11 or 11 are using the gym and the pool but no the track,
29 − 11 or 18 are using the pool and the track but no the gym,
25 − 11 or 14 are using the gym and the track but no the pool.
How many people use the gym only?
130 − (14 + 11 + 11) = 94
How many people use the pool only?
62 − (18 + 11 + 11) = 22
How many people use the track only?
58 − (14 + 11 + 18) = 15
How many people go in for sports?
94 + 22 + 15 + 11 + 14 + 18 + 11 = 185
How many people use exactly one of the facilities?
94 + 22 + 15 = 131
What is the probability that the person uses exactly one of the facilities?
= 131/185 ≈ 0.7081
Step-by-step explanation:
its a bit confusing
Hope It Helps !!!!
PLS HELP I DONT KNOWWW!!
Answers
Answer:
3rd option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line
m = [tex]\frac{-1-(-2)}{4-0}[/tex] = [tex]\frac{-1+2}{4}[/tex] = [tex]\frac{1}{4}[/tex]
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = [tex]\frac{1}{4}[/tex] x - 2 ← equation of line
y = mx + c
where,
m is the gradient, and
c is the y-intercept (where the line crosses the y-axis)
Gradient can be calculated using the following formula, or rise/run:
m = (y2 - y1)/(x2 - x1)
= (-1 - - 2)/(4 - 0)
= 1/4
Therefore, using the gradient-intercept form:
y = mx + c
y = (1/4)x + (-2) (-2 is the point where the line crosses the y-axis)
Therefore, y = (1/4)x - 2 or Option C is the answer
Eleven upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 10. The smallest domino, #O, is 3.00 inches tall and will be top- pled by a person to start the chain reaction. Each subsequent domino is 19% taller than the one before. What is the height of domino #10?
Answers
The height of domino number 10 is 56.9 inches.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The exponential function:-An exponential function is given by:
y = abˣ
where a is the initial value of y at x = 0, y, x are variables and b is the multiplication factor
Let y represent the height of the number x domino
Since the height of the smallest domino no 0 is 3 inches, hence a = 5. b = 100% + 19% = 1.19
y = 10(1.19)ˣ
For x = 10:
y = 10(1.19)¹⁰= 56.9 inches
Therefore the height of domino number 10 is 56.9 inches.
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Does the table of values below represent a proportional relationship?
x
2
3
4
5
y
10
15
24
25
Answers
Answer:
No
Step-by-step explanation:
The constant of proportionality is k = y/x. In this case, k is 5. When you multiply k which is 5 with the x value you should get the y value. You will see that 2 X 5 = 10, 3 X 5 = 15, and 5 X 5 = 25 but 4X 5 is not equal to 24. This means the ordered pair (4, 24) does not lie on the straight line that is formed where all the other ordered pairs (2,10), (3,15), and (5,25) lie.
For a proportional relationship in a table, the k is constant for all the ordered pair x and y values. All the ordered pairs in the table should also lie on the same straight line.
So the answer is no.
Write the number in standard notation: 5.32 x 106?
Answers
Answer:
5.32⋅10−6
Step-by-step explanation:
Answer:
5320000
Step-by-step explanation:
standard notation form : 5320000
What’s the answer helppppppp
Answers
Answer:
the answer is d........
I need help with this please. Brainliest to person who answers first. Its worth 12 points.
Question is in attachment.
Answers
Answer:
54x + 36
Step-by-step explanation:
Simplify:
First open the brackets by multiplying each term by 7.
5x - 6 + 7(7x + 6) = 5x - 6 + 7*7x + 7*6
= 5x - 6 + 49x + 42
= 5x + 49x - 6 + 42
Combine like terms. Like terms have same variable with same power. Here 5x and 49x are like terms & (-6) and 42 are like terms (Constants)
= 54x + 36
Answer:
54x +36
Step-by-step explanation:
5x - 6 + 7(7x+6) multiply
5x -6 +49x+42 add like terms
54x + 36 that's the answer
Match each figure to the number of lines of reflection that will reflect the figure onto itself.
Answers
The lines of symmetry for all the figures have been determined.
What is Reflection Symmetry ?A symmetry in which one half of the object is symmetrical to thew other half
A square has 4 lines of reflection symmetry , 2 along its sides and 2 along its diagonals
A regular hexagon has 6 reflection symmetry , three along the midpoints of the sides and three along the daigonals
A Trapezium can have 0 or 1 lines of symmetry depending upon the length of the non parallel sides.
An equilateral Triangle has 3 lines of reflection symmetry , an isosceles has 2 lines of symmetry and a scalene triangle has no lines of symmetry.
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Answer:
Step-by-step explanation:
got it right
Find the midpoint of the segment with the following endpoints. (10, 6) and (4, 9)
Answers
Answer:
(10+4/2, 6+9/2)
(7, 7.5)
The Midpoint is (7, 7.5)
Step-by-step explanation:
I just added the x values and divided them by 2 and then the same for the y values.
Answer:
(7,7.5)
Step-by-step explanation:
midpoint formula:
(X1,X2) divided by two and (Y1,Y2) also divided by two.
so you get
10+4/2 and 6+9/2
Add it all up you get
14/2 and 15/2
divide it:
(7,7.5)
What is the range of possible sizes for side x?
I dont need a long answer
Answers
Answer:
1.3 < x < 6.7
Explanation:
Given two sides of a triangle: 2.7 and 4.0
If 'x' will be the largest side:
third side < sum of two sidesx < 2.7 + 4.0x < 6.7If 'x' will be smallest side:
third side > difference between two sidesx > 4.0 - 2.7x > 1.3Hence range of possible size: 1.3 < x < 6.7
Which of the following equations have exactly one solution?
Choose all answers that apply:
Answers
the equations that will have only one solution are:
19x - 18 = -19x + 18 (option c)19x + 18 = -19x + 18 (option d)When we have only one solution?
An equation of the form:
a*x + b = c*x + d
Has one solution only if a ≠ c.
With that in mind, we can see that the equations that will have only one solution are:
19x - 18 = -19x + 18 (option c)
19x + 18 = -19x + 18 (option d)
In the other two cases, the slopes of the linear equations are equal, so these equations have no solutions or infinite solutions.
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Question 1 of 10
What is the volume of the cylinder below?
A.
168 units3
B.
378 units3
C.
252 units3
D.
288 units3
Answers
The volume of the cylinder shown below is 252πcm³
Volume of a cylinderThe formula for calculating the volume of a cylinder is expressed as:
V = πr²h
where:
r is the radius
h is the height
Given the following
radius = 6 units
height = 7 units
Substitute
V = πr²h
V = π(6)²(7)
V = 252πcm³
Hence the volume of the cylinder shown below is 252πcm³
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A pack of sugar costs £1.25 for 500g. How much for 1kg?
Answers
Answer:
2.50 £Step-by-step explanation:
A pack of sugar costs £1.25 for 500g. How much for 1kg?
500g = 1/2Kg or 0.5 Kg
so 1.25£ is 0.5Kg (1/2)
1.25 * 2 = 2.50£ is your answer
Answer:
2.5
Step-by-step explanation:
Change 500g into kg
500g=500/1000kg
=0.5kg
If 0.5kg cost 1.25
what about 1kg
= (1*1.25)/0.5
= 1.25/0.5
=2.5
Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix? $
Answers
Answer:
$24
Step-by-step explanation:
Cranberries needed: 1 pound
Cost of 1 pound = $4
Almonds needed: 4 pound
Cost of 1 pound = $5
4 x 5 = $20
20 + 4 = $24
Answer:
4.80
Step-by-step explanation:
find the maxium value of 16x+ 96y
Answers
follow p
What are the domain and range of the function
Answers
x≠-4 (the denominator makes it so x≠4)
and y cannot be -11
Mike wants to make meatloaf. His recipe
uses a total of 7 pounds of meat. If he uses a 3 to one ratio of beef to pork,how Mach pork will he use?
Answers
Answer:
Mark will use 1.25 pounds of pork.
Step-by-step explanation:
Let b represent the number of pounds of pork and p represent the number of pounds of beef. Since the ratio of beef to pork is 3 to 1, we have b/p = 3/1, which then becomes b = 3p. From this:
[tex]3p + p = 7[/tex]
[tex]4p = 7[/tex]
[tex]p = 1.75[/tex]
[tex]b = 3 \times 1.75 = 5.25[/tex]
What is the value of x in the following equation?
11-2x+6x+5=32
Answers
Answer:
The value of x is 4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
11−2x+6x+5=32
11+−2x+6x+5=32
(−2x+6x)+(11+5)=32
4x+16=32
4x+16=32
Step 2: Subtract 16 from both sides.
4x+16−16=32−16
4x=16
Step 3: Divide both sides by 4.
((4x)/4) = (16/4)
x = 4
Answer:
11-2x+6x=32-5
-2x+6x=27-11
-2x+6x=16
4x÷4=16÷4
x=4