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.
Answer:
Step-by-step explanation:
3 219494
Mention Two properties of magnets Pls tell me fastttt I want to write
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?
Answer:
37
Step-by-step explanation:
3 + 7 = 10
73 - 37 = 36
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?
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
Can anyone please help me with the problem
Answer:
<R=95 degrees (vertical angle theorem).
Step-by-step explanation:
Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?
Answer:
12 minutes
4*3
That's the answer
Is 13:15 and 30:26 a pair of equivalent ratios and why?
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.
pls help. whats 6¹⁵÷6¹⁰=?
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
you want to make a playlist with your top 12 favorite songs. in how many different ways can the playlist be made. order matters
Answer:
5 gehhdjjdehdhuhehhebvebejheu
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:
Does set of numbers \ 7,16,18\ ) form a Pythagorean triple? Explain
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.
What single decimal multiplier would you use to decrease by 1% followed by a 4% increase?
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.
What is the solution to the following algebraic equation z+10 =11+4 * Your answer
Answer:
ummmmmmm okkkkkkkkkkk
Step-by-step explanation:
dddddddddddddddddddddddddddddd
Answer:
z = 5
Step-by-step explanation:
2x + y = 13
What y????
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
Find the value of x. Round the length to the nearest tenth. 350 12 cm Not drawn to scale
Answer:
2.9 as a fraction, and percent.
Step-by-step explanation:
divide it 35÷12=2.9
write an expression that is equivalent to 2(A+b)
Answer:
2A + 2b
Step-by-step explanation:
Distributive property
Describe the slope of the line.
-2
2
х
+2+(2, -3)
(-2, -3)
The slope is
Find the slope.
Answer: the slope is 0 if you are talking about what is the slope of 2,-3 and -2,-3 because that’s what is in the picture
Step-by-step explanation: slope is the y values over the x values
106 lb decreased by 5% is
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.
Answer:
3/7
Step-by-step explanation:
18/42 without being simplified
Help pls I’ll give brainliest pls dont answer if you don’t know
Answer:
What are some awnsers :^
(02.02)Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric values and decimal point, and report prices to two decimal places, such as 12.30.) $______ per hour. I NEED HELP FAST!!
13.3 is the rate boom
A new energy drink advertises 130 calories for 6 oz. How many calories are in 18oz of the drink?
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
For the base b of a logarithmic function, b>0 and b≠1
True
False
Y=-4x - 18 y=-10x-36
It’s system of equations PLS HELP ITS DUE TOMORROW
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 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
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
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
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]
Which of the following is the difference of two squares?
16a ˆ2-9bˆ6
25mˆ2+100nˆ2
2xˆ2-4yˆ2
4g-16h
Answer:
2xˆ2-4yˆ2
Step-by-step explanation:
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?
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.
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
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
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)
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
