Answer:
The answer is y=8/3x-1
Step-by-step explanation:
7-(-1)/3-0
=8/3
y-y=m(x-x¹)
y-7=8/3(x-3)
y-7=8/3x-8
+7 +7
y=8/3x-1
Finn read 43 pages of his book in an hour
and a half. How many minutes would it take
to read 135 pages?
135 /43 = 3.14
60 * 3.14 = 188.4 minutes
helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest whole number.
Answer:
138 feets
Step-by-step explanation:
Given that :
Angle of depression (α) = 16°
Elevation = height = 450 feets
Appling trigonometry :
From the picture attached :
Height / elevation = 450 feets (Adjacent)
Distance = d (opposite)
Tan α = opposite / Adjacent
Tan 17 = d / 450
450 tan17 = d
450 * 0.3057306 = d
d = 137.57880
Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets
The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
Given that,
The helicopter is flying at an elevation of 450 feet.
It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.
We have to determine,
The distance between a point on the ground directly below the helicopter and the landing pad.
According to the question,
The angle of depression = 16°,
Elevation = height = 450 feet
And d is the distance,
The angle of depression is an important component used in trigonometric operations.
The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.
Therefore, The angle of depression is,
[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]
Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
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1. A small college requires its students to take at least one Mathematics course and at least one Science course. A survey of 140 of its students shows that:
60 completed their Mathematics requirement, 45 completed their Science requirement and 20 completed both Mathematics and Science requirements. Use a Venn diagram to find the number of students who had completed:
a. exactly one of the two requirements;
b. at least one of the requirements;
c. neither requirement.
Answer:
65
85
Step-by-step explanation:
Exactly one of the two requirement
Maths only = 45 - 20 = 25
Science only = 60 - 20 = 40
Exactly one = (25 + 40) = 65
B.) Atleast one :
(25 + 40 + 20) = 85
C) Neither :
140 - 85 = 55
Three items were bought at a car boot sale.
Item A
Mass = 42 grams
Volume = 2 cm
Item B
Mass = 87.5 grams
Volume 5 cm3
Item C
Mass = 147 grams
Volume = 7 cm3
=
The density of platinum is approximately 21 grams per cmº.
Which of the items cannot be platinum?
You must show your working.
Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms
Step-by-step explanation:
Answer:
Item B
Step-by-step explanation:
A:
density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3
This may be platinum.
B.
density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3
This cannot be pure platinum.
C.
density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3
This may be platinum.
Answer: Item B
find the square root of 5.494
[tex] \sqrt{5.494} [/tex]
Answer:
the square root of 5.494 is 2.34
Step-by-step explanation:
The computation of the square root of 5.494 is as follows"
According to the question it is mentioned that
The number is 5.494
Now the square root of the above number is
[tex]\sqrt{5.494}[/tex]
= 2.34
Hence, the square root of 5.494 is 2.34
Therefore the same is to be considered
What is the solution set of (x-2)(x-3) = 2?
O (1.4)
O (2, 3)
O [4,5)
Answer:
I think A but i'm not sure
Step-by-step explanation:
Solve h
-7 3/4 - h = 18 1/2
If you need only 1 c of milk, what is your best choice at the grocery store---- a quart container, a pint container, or a 1/2 gal container?
Step-by-step explanation:
Since 1 gallon = 4 quarts ⇒ (1/2) gallons = 2 quarts
1 gallon = 8 pints ⇒ (1/2) gallons = 4 pints
1 gallon = 16 cups ⇒ (1/2) gallons = 8 cups
Therefore from the given relation with gallons we can describe the relation between the cups, quarts and pints.
(1/2) Gallon > quarts > pints > cups
If we need 1 cup of milk then a pint container will be the best choice at a grocery store.
A linear function contains the following points. What are the slope and yintercept of this function? O A. O B. O C. O D. 25 The slope is 4. The yintercept is (5, O). The slope is —4. The yintercept is (O, 5). 1 The slope is Tthe yintercept is (O, 5). 1 The slope is . The yintercept is (O, 5).
Answer:
D
Step-by-step explanation:
points (-4,4) and (0,5)
slope: (y2-y1)/(x2-x1)
(5-4)/(0+4) = 1/4
y intercept given: (0,5)
please help i’ll do anything and give the brain thing :((
Answer:
add me on snap kharding1805 and I will add you back
Complete the table below for the function y = -6x + 4.
Please help me out!
Answer:
4/3
Step-by-step explanation:
help!!! 6th grade math i will give brainliest
Answer:
Value 16 and exponential is 2 over 4
Step-by-step explanation:
Answer:
2^4 so A
Value=16
Step-by-step explanation:
2x2x2x2=2^4
2x2x2x2=16
2x2=4
2x2=4
4x4=16
What is the check digit, d, for the credit card number shown below?
6424 9813 2720 008d
А. 1
B. 3
с. 5
D. 7
Answer:
A.1
Step-by-step explanation:
I did a check digit calculator and it said that this would be the check digit
The check digit is 1.
Step-by-step explanation:
The check digit on credit is calculated by the following step:
Mark each digit odd and even from the right side.Now multiply each digit at an even place with '2'.And if the number after multiplication is double-digit then add both the digit to obtain a single digit.Now add all the digits obtained in the previous step along with digits at odd places.To this sum obtained check by adding what digit it becomes next multiple of '10'.And that digit will be our check digit.Given:
The creditcard number: 6424 9813 2720 008d
To find :
Check digit,d
Solution:
6424 9813 2720 008d
Marking odd and even places from right side:
(e:even place,o:odd place)
e,o,e,o e,o,e,o e,o,e,o e,o,e,o
6 4 2 4 9 8 1 3 2 7 2 0 0 0 8 d
Multipling every even place digit with '2'.
12,4,18,2,4,4,0,16
If two digit number then add both digits to have single digit
12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7
Now adding all the digits obtained in prevoius step with digits at odd place:
(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59
The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.
59+1 = 60
(60 is a multiple of the number '10'.)
The check digit is 1.
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PLZ HELP!
Ramon earns $1,820 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Step-by-step explanation:
2.6% b/c 1820×2.6/100
Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Determine if Jennifer is correct and justify your reasoning.
Answer:
Jennifer is wrongStep-by-step explanation:
Jennifer's bank account is growing at a rate of change 10 as per the given function
William’s bank account is growing at a rate of change 14 as per the table
Jennifer is wrong because 10 < 14
which expression is equivalent to
2(3g-4)-(8g+3)?
-2g-1
-2g-5
-2g-7
-2g-11
Answer:
-2g - 11
Step-by-step explanation:
Expand the brackets, multiply 2 over 3g and -4. One plus and one minus make a minus.
2(3g-4) - (8g+3) = 6g - 8 - 8g - 3
Evaluate like terms.
6g - 8 - 8g - 3 = -2g - 11
What is 6 - 2 over 3 (x + 5) = 4x algebraically
Answer: x = 4/7
Explanation and steps is in the image below.
The solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.
What is the equation?The equation is defined as an algebraic statement that has a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question
6 - 2(x + 5)/3 = 4x
Apply the distributive property of multiplication,
6 - (2x + 10)/3 = 4x
(2x + 10)/3 + 4x = 6
2x/3 + 10/3 + 4x = 6
2x/3 + 4x = 6 - 10/3
Take the LCM in the above equation,
14x/3 = 8/3
14x = 8
x = 8 / 14
x = 4 /7
Thus, the solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.
Learn more about equations here:
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A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 6 gallons every 3 days. At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel?
x – 3 + 9x + 7 what is the awnser
Answer:
10x+4 or 2(5x+2)
Step-by-step explanation:
you just add
Answer:
Guide for how to get your answer and your answer
step 1
Find roots (zeroes) of : F(x) = x3-9x-7
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -7.
step 2
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,7
Lets test
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 1.00
-7 1 -7.00 -287.00
1 1 1.00 -15.00
7 1 7.00 273.00
found no rational roots.
(end equation of part 2) x3 - 9x - 7 = 0
step 4
Solve x3-9x-7 = 0
We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).
The function is F(x) = x3 - 9x - 7
At x= -3.00 F(x) is equal to -7.00
At x= -2.00 F(x) is equal to 3.00
Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this intervl, F(x) is zero,
(1) Find a point "Left" where F(Left) < 0
(2) Find a point 'Right' where F(Right) > 0
(3) Compute 'Middle' the middle point of the interval [Left,Right]
(4) Calculate Value = F(Middle)
(5) If Value is close enough to zero goto Step (7)
Else :
If Value < 0 then : Left <- Middle
If Value > 0 then : Right <- Middle
Next Middle will get us close enough to zero:
F( -0.844759464 ) is -0.000000848
The desired approximation of the solution is:
x ≓ -0.844759464
0.844759464 is your answer..
Step-by-step explanation:
Please help!!! Thank you!!!
Answer:
See below
Step-by-step explanation:
Statement | Reason
1. m∠A + m∠B + m∠C = 180° | 1. Angles in a triangle sum to 180°
2. 28° + x - 4° + 2x = 180° | 2. Substitution
3. x=(180° - 24°)/3= 156°/3°= 52° | 3. Algebra
Bananas are 3/4 water. What percent of a banana is made up of water?
Answer:
75%
Step-by-step explanation:
3/4 in decimal form is 0.75
0.75 x 100% = 75%
Thus 75% of the banana is made up of water.
Factor the following 36k^2-1
answer
[tex] {36k}^{2} - 1[/tex]
using identity
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
let a=6k and b=1
we get
[tex](6k + 1)(6k - 1)[/tex]
hope you are satisfied
Solve -17 =
7 / 3 for x.
What is the base area.
Answer:
Area of the base is 10.5 cm².
Step-by-step explanation:
Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases
Vertical height = 6 cm
Volume = 63 cm³
From the formula,
63 = Area of the triangular base × 6
Area of the base = [tex]\frac{63}{6}[/tex]
= 10.5 cm²
Therefore, area of the base is 10.5 cm².
Help Pls Fast! (55 POINTS!)
Answer:
Close to 6 miles. Exact is between 5.7 and 6
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Find the complete factored form of the
polynomial:
-9a666 - 12ab6
Enter the correct answer.
000G
DONE
Clear all
GE
Answer:
(0 - (9 • (a^666))) - (22•3ab^6)
(0 - 32a^666) - (22•3ab^6)
-12ab^6 - 9a^666 = -3a • (4b^6 + 3a^665)
Final result :
-3a • (4b^6 + 3a^665)
Step-by-step explanation:
PLEASE HELP ME WITH THIS PROBLEM ASAP
Answer:
8
Step-by-step explanation:
32/4=8
Answer: 8 minutes
Step-by-step explanation: You can use a proportion to calculate.
[tex]\frac{32}{4} = \frac{x}{1}[/tex]
32 x 1 / 4 = 8
8 minutes = 1 mile
Taylor is buying a new flashlight. He can choose from red, blue, and silver flashlights that come in both a large size and a small size.
Which list shows all the possible flashlights that Taylor can choose?
A large, small
B. red, blue, silver
c. small red, small blue, large red, large silver
D small red, large red, small blue, large blue, small silver, large silver
Answer:
D
Step-by-step explanation:
It has all the flashlight colors and sizes.
Brand A: $5 for 80 pounds of sand Brand B: $14 for 175 pound bag Which is the better buy?
Answer:
Brand A is the better buy
Step-by-step explanation:
bag Which is the better buy?
Step one
Brand A: $5 for 80 pounds of sand
Let us find the unit cost
Unit cost =5/80
=$0.0625 per pound
Brand B: $14 for 175 pound
The unit cost is
=14/175
=$0.08 per pound