Answers
Answer:
slope = 1
Step-by-step explanation:
(0 , 1) ; (-1 , 0)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{0-1}{-1-0}\\\\=\frac{-1}{-1}\\\\=1[/tex]
Related Questions
Rick wants to buy a tool set with an original price of $165. Next week, the tool set will be on sale for $40 off. What is the sale
price of the tool set?
Answers
Answer:
$125 is the sale price.
Step-by-step explanation:
Answer:
24.24% off
Price of tool set: $125
Step-by-step explanation:
$40 is the price change
You can divide 40 by the original price which is 165 and then multiply by 100 to get your percentage change.
40 / 165 = 0.2424
0.2424 * 100 = 24.24
So there is 24.24% discount.
pls help. whats 6¹⁵÷6¹⁰=?
Answers
Answer:
6^5 or 7776
Step-by-step explanation:
When you divide exponentials you minus the exponents. 15-10=5
6^5 = 7776
Answer:
6^5 = 7776
Step-by-step explanation:
6^15 /6^10 = 6^(15-10) = 6^5 = 7776
the ratio of the fourth to the first term of a geometric sequence is ⅛. if the first term exceeds the second term by 5, find the first and the 8th term of the sequence?
Answers
Answer:
a = 10
T8 = 1280
Step-by-step explanation:
The nth term of a GP is expressed as;
Tn = ar^n-1
Forth term T4 = ar^3
first term = a
If the ratio of the fourth to the first term of a geometric sequence is ⅛ then;
ar^3/a = 1/8
r^3 = 1/8
r = ∛1/8
r = 1/2
If the first term exceed the second by 5, then;
a = 5 + T2
a = 5 + ar
a = 5 + a(1/2)
a-1/2a = 5
1/2 a 5
a = 10
Hence the first term is 10
T8 = ar^7
T10 = 10(1/2)^7
T10 = 10(128)
T10 = 1280
Hence the 8th term is 1280
Learning Task 3:
Solve.
1. What is the area of the rectangle whose length is (x + 5) and width (x - 5)?
2. What is the area of the square whose sides measure (3x + 4)?
3. The area of the rectangle is 3x2 + 7x - 6, what is the length if the width is
(x + 3)
4. What is the average speed of the car that covers a distance of
(2y3-7y2 + 5y - 1) km in (2y-1) hour?
5. Multiply (m2 + 2m-2) by the sum of (m + 3 ) and (2m - 3)
Answers
Answer:
[tex]Area = x^2- 25[/tex]
[tex]Area =9x^2 +24x + 16[/tex]
[tex]Length = (3x -2)[/tex]
[tex]Speed = \left(y^2-3y+1\right)[/tex]
[tex]Product = 3m^3 + 6m^2 - 6m[/tex]
Step-by-step explanation:
Solving (1):
[tex]Length = (x + 5)[/tex]
[tex]Width = (x - 5)[/tex]
Required
Calculate Area
[tex]Area = Length * Width[/tex]
[tex]Area = (x + 5) * (x - 5)[/tex]
[tex]Area = x^2 + 5x - 5x - 25[/tex]
[tex]Area = x^2- 25[/tex]
Solving (2):
Given
[tex]Length = (3x + 4)[/tex]
Required: Calculate Area
[tex]Area =Length * Length[/tex]
[tex]Area =(3x + 4) * (3x + 4)[/tex]
[tex]Area =9x^2 + 12x + 12x + 16[/tex]
[tex]Area =9x^2 +24x + 16[/tex]
Solving (3):
[tex]Area = 3x^2 + 7x - 6[/tex]
[tex]Width = x + 3[/tex]
Required: Calculate Length
[tex]Area = Length * Width[/tex]
[tex]Length = \frac{Area}{Width}[/tex]
[tex]Length = \frac{3x^2 + 7x - 6}{x + 3}[/tex]
Factorize the numerator
[tex]Length = \frac{3x^2 + 9x -2x - 6}{x + 3}[/tex]
[tex]Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}[/tex]
[tex]Length = \frac{(3x -2) (x + 3)}{x + 3}[/tex]
Divide by x + 3
[tex]Length = (3x -2)[/tex]
Solving (4):
[tex]Distance = (2y^3 - 7y^2 + 5y -1)[/tex]
[tex]Time = 2y - 1[/tex]
Required: Determine the average speed
This is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}[/tex]
Factorize the numerator
[tex]Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}[/tex]
[tex]Speed = \left(y^2-3y+1\right)[/tex]
Solving (5):
Multiply [tex](m^2 + 2m - 2)[/tex] by sum of [tex](m + 3)[/tex] and [tex](2m - 3)[/tex]
First, calculate the sum:
[tex]Sum = m + 3 + 2m - 3[/tex]
[tex]Sum = m + 2m+3 - 3[/tex]
[tex]Sum = 3m[/tex]
Then, the product
[tex]Product = (m^2 + 2m - 2)(3m)[/tex]
[tex]Product = 3m^3 + 6m^2 - 6m[/tex]
Answer:
Step-by-step explanation:
Solving (1):
Required
Calculate Area
Solving (2):
Given
Required: Calculate Area
Solving (3):
Required: Calculate Length
Factorize the numerator
Divide by x + 3
Solving (4):
Required: Determine the average speed
This is calculated as:
Factorize the numerator
Solving (5):
Multiply by sum of and
First, calculate the sum:
Then, the product
Y=-4x - 18 y=-10x-36
It’s system of equations PLS HELP ITS DUE TOMORROW
Answers
Answer:
Step-by-step explanation:
-10x - 36 = -4x - 18
-6x - 36 = -18
-6x = 18
x = -3
y = -4(-3) - 18= 12 - 18 = -6
(-3, -6)
A new energy drink advertises 130 calories for 6 oz. How many calories are in 18oz of the drink?
Answers
Answer:
390 calories
Step-by-step explanation;
18/3=6
130 x 3 = 390
Answer:
390
Step-by-step explanation:
You can set up a simple ratio, 130 is to 6 as x is to 18. Notice how 6x3=18 so since you multiplied the 6 by 3, then multiply the 130 by 3, so 130 x 3 = 390 calories
PLZZZZZZZZ help me not desperate but gotta get done by today its asking this- Brian tossed a paper cup a total of 25 times and record the data below on how the cup landed.
Position of cup Open side up Closed side up Landing on side
Number of times landed in the position 3 7 15
Find the experiment probability for the following
a. Open side up:
b. Closed side up:
c. Landing on its side:
Answers
b. Closed side up: 7/25
c. Landing on its side: 15/25 or 3/5
Which sets of side lengths could form a triangle?
A. 3 centimeters, 4 centimeters, 9 centimeters
B. 3 centimeters, 6 centimeters, 9 centimeters
C. 4 centimeters, 5 centimeters, 9 centimeters
D. 4 centimeters, 6 centimeters, 9 centimeters
Answers
Answer:
D. 4 centimeters, 6 centimeters, 9 centimeters
Step-by-step explanation:
Considering side length for forming a triangle, most of the time it is about Triangle Inequality Theorem, which for 3 sides length a,b,c, it must satisfy the following set of inequalities:
[tex]a+b>c\\a+c>b\\b+c>a[/tex]
By checking each of them only D satisfy:
[tex]4+6=10>9\\6+9=15>4\\9+4=13>6[/tex]
For simplicity you only have to check if the two shortest sides add up to be larger than the longest side:
[tex]4+6>9[/tex]
For the base b of a logarithmic function, b>0 and b≠1
True
False
Answers
Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?
Answers
Answer:
12 minutes
4*3
That's the answer
write an expression that is equivalent to 2(A+b)
Answers
Answer:
2A + 2b
Step-by-step explanation:
Distributive property
This spinner is spun 42 times. The spinner landed on A 18 times, on B 17 times, and on C 7 times. Compute the empirical
probability that the spinner will land on A.
B
A
C С
Express the answer as a fraction"/" in simpliest form.
Answers
Answer:
3/7
Step-by-step explanation:
18/42 without being simplified
Classify the numbers. Some numbers may belong in more
than one box.
45 48 81 84 99
Answers
Answer:
3&9= 81, 99, 45 5&9= 45 2&6= 48, 84
Can anyone please help me with the problem
Answers
Answer:
<R=95 degrees (vertical angle theorem).
Step-by-step explanation:
A simple random sample of 8 reaction times of NASCAR drivers is selected. The reaction times have a normal distribution. The sample mean is 1.24
sec with a standard deviation of 0.12 sec. Construct a 99% confidence interval for the population standard deviation
Answers
Answer:
99% confidence interval is 0.07 < σ < 0.32
Step-by-step explanation:
Given that;
standard deviation s = 0.12 sec
s² = 0.12² = 0.0144
degree of freedom DF = n - 1 = 8 - 1 = 7
99% confidence interval
∝ = 1 - 99% = 1 - 0.99 = 0.01
now, we find x² critical values for ∝/2 = 0.005 and 1 - ∝/2 = ( 1 - 0.005) = 0.995, df = 7
The Lower critical value [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] = 20.2777
The Upper critical value [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex] = 0.9893
Now, confidence interval is given by
√[ ( (n-1)×s² ) / ( [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] ) ] < σ < √[ ( (n-1)×s² ) / ( [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex] ) ]
so we substitute
√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]
√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]
√0.0049711 < σ < √0.10189
0.0705 < σ < 0.3192
Rounding to the nearest 2 decimal places
0.07 < σ < 0.32
Therefore; 99% confidence interval is 0.07 < σ < 0.32
If x=−1and y=−3, then 5(x2−7+y)=
Answers
Mention Two properties of magnets Pls tell me fastttt I want to write
Answers
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answers
Answer:
144
Step-by-step explanation
8x6=48
48 divided by 2=24
24x2=48
4x10=40
8x4=32
4x6=24
add them all together so 48+40+32+24=144
What single decimal multiplier would you use to decrease by 1% followed by a 4% increase?
Answers
Answer:
The single decimal multiplier is 1.0296.
Step-by-step explanation:
Multipliers:
For a decrease of a%, we multiply by: [tex]\frac{100-a}{100}[/tex]
For a increase of a%, we multiply by: [tex]\frac{100+a}{100}[/tex]
For consecutive changes, we multiply the multipliers.
Decrease of 1%
Multiplication by [tex]\frac{100-1}{100} = \frac{99}{100} = 0.99[/tex]
Increase of 4%
Multiplication by [tex]\frac{100+4}{100} = \frac{104}{100} = 1.04[/tex]
Consecutive:
0.99*1.04 = 1.0296
The single decimal multiplier is 1.0296.
you want to make a playlist with your top 12 favorite songs. in how many different ways can the playlist be made. order matters
Answers
Answer:
5 gehhdjjdehdhuhehhebvebejheu
Which of the following is the difference of two squares?
16a ˆ2-9bˆ6
25mˆ2+100nˆ2
2xˆ2-4yˆ2
4g-16h
Answers
Answer:
2xˆ2-4yˆ2
Step-by-step explanation:
What is the solution to the following algebraic equation z+10 =11+4 * Your answer
Answers
Answer:
ummmmmmm okkkkkkkkkkk
Step-by-step explanation:
dddddddddddddddddddddddddddddd
Answer:
z = 5
Step-by-step explanation:
Is 13:15 and 30:26 a pair of equivalent ratios and why?
Answers
Given:
The two ratios are 13:15 and 30:26.
To find:
Whether the given ratios are equivalent or not.
Solution:
Two ratios are equivalent if the values of the ratio are equal after simplification.
[tex]13:15=\dfrac{13}{15}[/tex]
And,
[tex]30:26=\dfrac{30}{26}[/tex]
[tex]30:26=\dfrac{15}{13}[/tex]
[tex]30:26=15:13[/tex]
The first ratio is 13:15 and the value of second ratio after simplification is 15:13 both ratios are different, so,
[tex]\dfrac{13}{15}\neq \dfrac{30}{26}[/tex]
Therefore, the required answer is "No", the given ratios are not a pair of equivalent ratios.
2x + y = 13
What y????
Answers
Answer:
2(5) + 3 = 13
Step-by-step explanation:
x=5
y=3
2x+y=13
2(5)+3=13
10 +3 =13
Answer:
Step 1
2x+y+-y = 13 +-y
2x=-y+13
The sum of the digits of
a two-digit number is 10. If the digits are reversed, the number is increased by 36. What is the original number?
Answers
Answer:
37
Step-by-step explanation:
3 + 7 = 10
73 - 37 = 36
Help pls I’ll give brainliest pls dont answer if you don’t know
Answers
Answer:
What are some awnsers :^
Find the value of x. Round the length to the nearest tenth. 350 12 cm Not drawn to scale
Answers
Answer:
2.9 as a fraction, and percent.
Step-by-step explanation:
divide it 35÷12=2.9
106 lb decreased by 5% is
Answers
Does set of numbers \ 7,16,18\ ) form a Pythagorean triple? Explain
Answers
Answer:
No
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Leg a = 7
Leg b = 16
Hypotenuse c = 18
Step 2: Check
Substitute in variables [Pythagorean Theorem]: 7² + 16² = 18²[Pythagorean Theorem] Evaluate exponents: 49 + 256 = 324[Pythagorean Theorem] Add: 305 ≠ 324Since we know that 305 does not equal 324, that means the side lengths do not form a Pythagorean triple.
You observe a plane approaching overhead and assume that its speed is 500 miles per hour. The angle of elevation of the plane is 18° at one time and 57° one minute later. Approximate the altitude of the plane.
Answers
Answer:
Step-by-step explanation:
3 219494
