Find the slope of the line through each pair of points
(10, -14), (11,11)
Hello there! I can help you with joy! :)
If we have 2 points, then we can find the slope using this formula:
m=\(\frac{y2-y1}{x2-x1}\)
y2=11
y1=-14
x2=11
x1=10
\(\frac{11-(-14)}{11-10}\)
\(\frac{11+14}{1}\)
25
Hope this helps you!
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A conclusion which is arrived at by Inductive reasoning is called a _____?
Answer: A conclusion you reach using inductive reasoning is called conjecture.
Step-by-step explanation: Examining several specific situations to arrive at a conjecture is called inductive reasoning.
A conclusion that is arrived by inductive reasoning is called a conjecture.
An inductive reasoning is made following observable patterns. For instance when the patterns occurring in a sequence are closely monitored, inductive reasoning can be used to know what would be the next terms of the sequence.
A conjecture is a conclusion that one gets to while they are using the inductive type of reasoning.
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Which of the following is NOT divisible by 2?
A. 300
B. 221
C. 24
D. 8
Answer:
Step-by-step explanation:
b.221
as in 221 has no even digit in ones place.
Answer: The answer is option B (221).
Step-by-step explanation: As we know that ,
for a number to be divisible by 2 ,
the last digit of the number must ends with
the digits 2 ,4 , 6 , 8 , 0 .
And from the following option ,
In option A , 300 ends with 0 hence divisible by 2 .
In option C , 24 ends with 4 hence divisible by 2 .
In option D , 8 that is clearly divisible by 2.
Only in option B , 221 ends with 1 , hence not divisible by 2.
PLZ HELP FAST!!!!! I NEED THIS ANSWER PLEASE HELPPP
Answer:
L=7
W=10
Step-by-step explanation:
W=2L-4
WL=70
(2L-4)L=70
2L^2-4L-70=0
2(L^2-2L-35)=0
2(L-7)(L+5)=0
L-7=0
so:
L=7 IS THE LENGTH OF THE RECTANGLE.
W=2*7-4
W=14-4
W=10 IS THE WIDTH OF THE RECTANGLE.
PROOF:
7*10=70
70=70
What is the value of 2 ÷ (4 ÷ (6 ÷ (8 ÷ 10)))?
Answer:
1.66
---------
First find the value of 8 divided by 10 because they are in parentheses.
\(10/8 = 1.25\)
Divide 6 by 1.25
\(6 / 0.8 = 4.8\)
Then, divide by 4
\(4.8 / 4 = 1.2\)
Finally, divide 2 by 1.2
\(2 / 1.2 = 1.66\)
The answer should be 1.66 if you do the problem right to left(because of the order of operations).
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)
If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:
Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).
Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).
Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).
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Can someone answer number 24 step by step?
Answer:
=1
Step-by-step explanation:
log3(x+2)-log3(x)=1
Subtraction sign means you can divide the values inside the parintheses
log3(x+2/x)=1
split up the fraction into x/x and 2/x; x/x = 1
log3(1+(2/x))=1
Change of base - three to the first power = value in parintheses
3to1st=1+(2/x)
subtract 1 from both sides
2=2/x
divide both sides by 2
x=1
;)
Margo can purchase tile at a store for $0.99 per tile and rent a tile saw for $18. At another store she can
borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the
cost to be the same at both stores?
Answer:
.79x+24=1.29
took way long then it should my fault but 1.29-.79=.5
x=18/.5
x=36 sorry for taking so long and this the answer i just answered it in a weird way sorry
Step-by-step explanation:
Identify the numerator of the fraction 12/16
1
Answer:
12
Step-by-step explanation:
The numerator is the top number.
The denominator is the bottom number.
In this fraction 12 is the numerator.
For each of the 6 coverage areas of a standard homeowners insurance policy, briefly describe what they cover: Dwelling, Other Structures. Personal Property,
Loss of Use, Personal Liability, Medical Payments
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A researcher is interested in testing to determine if the mean price of a casual lunch is different in the city than it is in the suburbs. The null hypothesis is that there is no difference in the population means (i.e. the difference is zero). The alternative hypothesis is that there is a difference (i.e. the difference is not equal to zero). He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40. He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90. He is using an alpha value of .10 to conduct this test. Assuming that the populations are normally distributed and that the population variances are approximately equal, the degrees of freedom for this problem are _______.
Answer:
The degrees of freedom for this problem are 21
Step-by-step explanation:
Degrees of freedom:
When testing an hypothesis involving two samples, the number of degrees of freedom is given by:
\(df = n_1 + n_2 - 2\)
In which \(n_1\) is the size of the first sample and \(n_2\) is the sample of the second sample.
In this question:
Samples of 9 and 14, so \(n_1 = 9, n_2 = 14\)
The degrees of freedom for this problem are
\(df = n_1 + n_2 - 2\)
\(df = 9 + 14 - 2 = 21\)
The degrees of freedom for this problem are 21
The required degree of freedom is 21.
Given that,
He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40.
He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90.
He is using an alpha value of .10 to conduct this test.
We have to find,
The degrees of freedom for this problem are.
According to the question,
Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.
Degrees of freedom are commonly discussed in relation to various forms of hypothesis testing in statistics, such as a chi-square.
When testing an hypothesis involving two samples, the number of degrees of freedom is given by,
\(Degree \ of \ freedom = n_1+n_2-2\)
Where, \(n_1\) is the size of the first sample and \(n_2\) is the sample of the second sample.
\(n_1 = 9 \ and\ n_2 = 14\)
Therefore,
\(Degree \ of \ freedom = 9+14-2\\\\Degree \ of \ freedom = 21\)
Hence, The required degree of freedom is 21.
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Find the value of the following using laws of exponents
(2 ^2)x = 64
Answer:
x = 3
Step-by-step explanation:
using the rule of exponents
\((a^m)^{n}\) = \(a^{mn}\)
\((2^2)^{x}\) = 64
\(2^{2x}\) = \(2^{6}\)
since the bases on both sides are equal , then equate the exponents
2x = 6 ( divide both sides by 2 )
x = 3
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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Solve for x. 6/-4.5=8/4x
Answer: x = -3/2 , x = -1 1/2 , x = -1.5
Step-by-step explanation:
6/-4.5 = 8/4x
first determine the defined range --> x ≠ 0
cancel out the common factor 4 --> 6/-4.5 = 2/x
the convert the decimal into a fraction --> 6/-9/2 = 2/x
now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x
then simplify the complex fraction --> -4/3 = 2/x
simplify the equation using cross-multiplication --> -4x=6
divide both side of the equation by -4 --> x = -3/2 , x ≠ 0
lastly, check if the solution is in the defined range --> x = -3/2
solution : x = -3/2
Alternative form: x = -1 1/2 , x = -1.5 (simplified)
Complete the square
X^2 - 12x =-20
Answer:
(x - 10)(x - 2) = 0, x = 10, 2
Step-by-step explanation:
x² - 12x = -20
Add 20 to both sides.
x² - 12x + 20 = 0
To complete the square, find values that add up to the middle coefficient and multiply to the final number. In this case, -10 and -2 add to -12 and multiply to 20.
(x - 10)(x - 2) = 0
Now solve each individual pair.
x - 10 = 0
x = 10
x - 2 = 0
x = 2
A vending machine's coin box contains nickels, dimes, and quarters. The total number of coins in the box is 252 . The number of dimes is three times the number of nickels and quarters together. If the box contains dollars 24 and cents 85, find the number of nickels, dimes and quarters that it contains.
here are nickels,
dimes,
quarters in the coin box.
Answer:
Step-by-step explanation :
N = number of nickels
D = number of dimes
Q = number of quarters
`
252 = N + D + Q <---- Equation 1
D = 3(N+Q) <---- Equation 2
24.85 = 0.05N + 0.10D + 0.25Q <---- Equation 3
We a have set of three linear equations to solve for three unknowns N, D, and Q.
Rearranging the equations we have :
N + D + Q = 252
3N - D + 3Q = 0
0.05N + 0.10 D + 0.25Q = 24.85
Solving the set of linear equations, we end up with :
N = 49
D = 189
Q = 14
(see the attached images for the entire solution)
Draw and label a figure for each relationship.
Points X and Y lie on CD.
A number line was used to draw and label a figure for Points X and Y that lies on CD as shown in the image attached below.
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.
A number line would be used to draw and label a figure for Points X and Y that lies on CD as shown in the image attached below.
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A triangle has vertices at { 2,-2). (-2,5), and {-4. - 51. The triangle is translated 2 units to the right and rotated the coordinates of its image? 5. Diaw the orientation of the figure below
Answer:
A. (-4, -2)
B. (0,5)
C. (2,-5)
Step by step explanation:
A (2,-2)
B (-2,5)
C (-4,-5)
Translate 2 units to the right = x + 2
A (2+2 , -2) = (4 , -2)
B (-2+2 , 5) = (0,5)
C (-4+2,-5) = (-2,-5)
Rotate 90 degrees clockwise
\(A\text{ ( 4,-2) }\)= (-4, -2)
\(B(0,5)\)= (0,5)
\(C(-2,-5)\)= (2,-5)
Betty Richard's new sedan has a $43,895.60 MSRP including title and processing fees. The navigation system cost twice as much as the upgraded sound system, which included AM/FM stereo with CD/MP3 player, and 9
speakers. Including the 6.5% sales tax, the total cost of her new car was $48,346.31. Find the cost of the a)
upgraded sound system, and b) navigation system.
9514 1404 393
Answer:
a) sound system: $500
b) navigation system: $1000
Step-by-step explanation:
The cost of the car with its upgrades (before tax) is ...
$48,346.31/1.065 = 45,395.60
This means the total cost of the sound and navigation upgrades is ...
$45,395.60 -43,895.60 = $1500
The ratio of sound system cost to navigation system cost is 1 : 2, so the sound system accounts for 1/(1+2) = 1/3 of the cost of the upgrades.
a) The upgraded sound system cost is 1/3 × $1500 = $500.
b) The upgraded navigation system cost is 2/3 × $1500 = $1000.
Please need help ASAP!!
Answer:
2x+30 = 90
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
2x+30 = 90
Answer:
2x+30 = 90° is the required equation.
Step-by-step explanation:
We see that, the angle formed in the image is 90°, so by adding in the angles inside it, we get 90
hope it helps :)
What is the product?
2
12 64
78 30
6
32
78 30
(050
69
78 30
899
32
39 15
66 8
64
38 30
Answer:
the product is 1.32057606543E32
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
Round your answer to the nearest hundredth (second) decimal place.
The tip was $7.77
I hope this helped! please mark brainliest and vote 5 stars >:)
Answer:about 8 dollars
Step-by-step explanation:
Please help me!!!!!!
Answer:
-2
Step-by-step explanation:
slope=4/5 passing though (5,3) whats the point slope form
slope intercept form
Answer:
4
Step-by-step explanation:
The slope-intercept form of the equation is y = (4/5)x -1.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that slope=4/5 passing through (5,3). The equation of the line can be written as,
y = mx + c
3 = ( 4 x 5/5) + c
c =-1
The equation will be:-
y = mx + c
y = (4/5)x -1
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The slope of a line is 0, and the y-intercept is 6. What is the equation of the line written in slope-intercept form?
O y=6x
Oy=6
O y=x+6
Answer:
The correct answer is y = x + 6
Which two statements are both true?
Answer:
(b) FG⊥HB and FG║DE
Step-by-step explanation:
You want to know two statements that correctly describe the diagram where HB crosses lines FG, DE, and AC.
PerpendicularLine HB is indicated as being perpendicular to lines FG and DE by the small square in the corner where the lines cross. It is true that ...
FG⊥HB
ParallelLines FG and DE are both perpendicular to line HB. LInes in a plane that are perpendicular to the same line are parallel to each other. It is true that ...
FG║DE
A flag-shaped like an equilateral triangular has a perimeter of 45 inches. What is the length of each side of the flag?
Answer: 15 inches
Step-by-step explanation:
An equilateral triangle has three equal sides, so if the perimeter of the triangle is 45 inches, then each side must be 45 inches divided by 3, which gives us:
45 in ÷ 3 = 15 in
Therefore, the length of each side of the flag is 15 inches.
Select the common ratio and the 4th term of the geometric series: 9, -6,4...
The given geometric sequence has the common ratio, r = -2/3, and the value of the 4th term, a₄ = -8/3.
A geometric sequence is a special series where every term is the product of the previous term and a common ratio.
The first term of a geometric sequence is represented as a, the common ratio as r, and the n-th term as aₙ, which is calculated as, aₙ = a.rⁿ⁻¹.
In the question, we are asked to find the common ratio and the 4th term of the geometric sequence, 9, -6, 4, ........
The first term of the sequence, a = 9.
The second term of the sequence, a₂ = -6.
By the formula of the n-th term, aₙ = a.rⁿ⁻¹, we can show that:
a₂ = a.r²⁻¹.
Substituting the values, we get:
-6 = 9(r²⁻¹),
or, r²⁻¹ = -6/9,
or, r = -2/3.
Thus, the common ratio of the given geometric sequence is -2/3.
The 4th term can be calculated using the formula of the n-th term, aₙ = a.rⁿ⁻¹ as:
a₄ = a.r⁴⁻¹ = a.r³.
Substituting the values, we get:
a₄ = 9(-2/3)³,
or, a₄ = 9.(-8/27),
or, a₄ = -8/3.
Thus, the 4th term of the given geometric sequence is -8/3.
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i need help please and thank you
Answer:
C. 128 ft³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Rectangular Prism Formula: V = lwh
l is lengthw is widthh is heightStep-by-step explanation:
Step 1: Define
Identify variables
l = 8 ft
w = 4 ft
h = 4 ft
Step 2: Find Volume
Substitute in variables [Volume of a Rectangular Prism Formula]: V = (8 ft)(4 ft)(4 ft)Multiply: V = (32 ft²)(4 ft)Multiply: V = 128 ft³Answer:
Length (L) = 8ftWidth (w) = 4ftHeight (h) = 4ftFormula to be used :-
Volume of rectangular prism = LWHCalculation :-
=> V = LWH
=> V = 8 × 4 × 4
=> V = 128 ft²
Attempt due:
1 Hour, 23
Given; WZYX, W ZXZYXZ
Prove: WXYZ
verse
Statement
Reason
1. Given
1. WZYX
2. ZWZXYXZ
2. Given
3. XZXZ
3. Select
4. AWZX AYXZ
4. [Select
5. WXYZ
5. CPCTC