A) The airplane slowed down. It states that the plane lands and come to a complete stop over a 53 second period.
B) It decelerates. The speed doesn't increase. It slows down.
C) The answer should be positive. Although the deceleration is slowing down the plane, it's not going at a negative speed.
D) The answer is 11.5m/s. I divided the velocity by the amount of seconds it takes to make a complete stop.
The following information should be considered;
A) The airplane falled down. It states that the plane lands and come to a complete stop over a 53 second period.
B) It decelerates. The speed doesn't increase. It slows down.
C) The answer should be positive. The deceleration is slowing down the plane, it's not going at a negative speed.
D) The answer is 11.5m/s. I divided the velocity by the amount of seconds it takes to make a complete stop.
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Describe the vector as an ordered pair round the coordinates to the nearest tenth. The diagram is not drawn to scale.
A.)<-58.1, 50.5>
B.)<-102, 117.4>
C.)<-117.4, 102>
D.)<-50.5, 58.1>
Answer:
D.)<-50.5, 58.1>
Step-by-step explanation:
The vector can be decomposed into its x and y components using trigonometry.
The x and y components of the vector, together with the vector length forms a right triangle, as shown in the figure attached.
The x-component of the vector is given by
[tex]sin (-41^o)=\dfrac{x}{77}[/tex]
[tex]x=77*sin (-41^o)[/tex]
[tex]x=-50.5[/tex]
And the y-component of the vector is given by
[tex]cos(-41^o)=\dfrac{y}{77}[/tex]
[tex]y=77*cos(-41^o)[/tex]
[tex]y=58.1[/tex]
Thus, the vector as an ordered pair is represent by
[tex]\boxed{ (-50.5, 58.1)}[/tex]
which is choice D.
3(x + 1) + 4x + 3 = 34
Answer:
Step-by-step explanation:
3(x + 1) + 4x + 3 = 34......distribute thru the parenthesis
3x + 3 + 4x + 3 = 34....combine like terms
7x + 6 = 34....subtract 6 from both sides
7x = 34 - 6
7x = 28....divide by 7
x = 28/7
x = 4 <====
Answer:
look at the picture shown
Expand.
If necessary, combine like terms.
(4x + 1)(4x + 1) =
Answer: 16x² + 8x + 1
Step-by-step explanation:
(4x + 1)(4x + 1)
This expansion can be done in two ways either by direct expansion or by indirect expansion
(1) Direct expansion
(4x + 1)(4x + 1 )
4x X 4x + 4x X 1 + 1 X 4x + 1 X 1
= 16x² + 4x + 4x + 1
= 16x² + 8x + 1
(2) Method
This can be written thus:
(4x + 1 )(4x + 1 ) = (4x + 1 )²
= (4x)² + 2( 4x X 1 ) + 1²
= 16x² + 2(4x) + 1
= 16x² + 8x + 1.
(4x + 1)(4x + 1)
4x · 4x = 16x²
4x · 1 = 4x
1 · 4x = 4x
1 · 1 = 1
16x² + 4x + 4x + 1
16x² + 8x + 1
The simple interest due on a six month loan of $2500 is $125. What is the monthly payment of the loan?
The monthly payment of the loan is =$ 437.5
Step-by-step explanation:
Given , the simple interest due on a six month loan of $2500 is $125.
Total amount he paid =$ (2500+125)
=$2625
The monthly payment of the loan is =$(2625÷6)
=$ 437.5
Factor the expression using the GCF: 15x - 25
To factor the expression 15x - 25 using the greatest common factor (GCF), divide each term by the GCF. The factored form is 5(3x - 5).
Explanation:To factor the expression 15x - 25 using the greatest common factor (GCF), we need to find the largest number that divides both terms evenly. In this case, the GCF is 5. We can then divide each term by 5 to factor out the GCF:
15x ÷ 5 = 3x
-25 ÷ 5 = -5
Therefore, the factored form of the expression 15x - 25 is 5(3x - 5).
The expression 15x - 25 is factored by finding the Greatest Common Factor, which is 5, and then dividing each term by 5 to get the factored expression 5(3x - 5).
To factor the expression using the Greatest Common Factor (GCF), we need to identify the highest number that divides both coefficients in the expression 15x - 25. In this case, both 15 and 25 are divisible by 5, so 5 is the GCF of the expression. Applying the distributive property, we factor out the GCF:
Determine the GCF: 5.Divide each term by the GCF: 15x/5 = 3x and 25/5 = 5.Write the factored expression: 5(3x - 5).Now, the expression 15x - 25 is fully factored as 5(3x - 5).
Find the quantity represented by each percent.
1. 46% of 340 gallons
2. 65% of 180 pounds
3. 75% of 72 hours
4. 120% of $590
5. 245% of 860 kilograms
How can you write the expression with a rationalized denominator? square root of three minus six over square root of three plus six
Answer:
[tex]- (\frac{15 - 4\sqrt{3} }{11} )[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{3}-6}{\sqrt{3} +6} = \frac{(\sqrt{3}-6)(\sqrt{3}-6)}{(\sqrt{3} +6)(\sqrt{3} -6)}[/tex]
[tex]= \frac{(\sqrt{3})^2 - (2\times6\times\sqrt{3}) +6^{2} }{(\sqrt{3})^2 - 6^{2}} = \frac{9 - 12\sqrt{3} + 36}{3 - 36}[/tex]
[tex]\frac{45 -12\sqrt{3} }{-33} =- (\frac{15 - 4\sqrt{3} }{11} )[/tex]
The length of a rectangle is 6 m longer than its width. If the perimeter of the rectangle is 48 m, find its area.
Answer:
135m^2
Step-by-step explanation:
length = l
width = w
l + l + w + w = 48
l = w+6
w+6 + w+6 + w + w = 48
4w + 12=48
4w=36
w=9
l=15
15*9=135
Answer:
A = 135m²
Step-by-step explanation:
Represent the problem with equationsRecall the formula for perimeterFind the dimensions of the rectangle (length and width)Recall the formula for areaUse the dimensions to find the areaWrite equations to represent the problem.
l = w + (6m) The length is 6m more than the width
P = (48m) Perimeter is 48m
***We put brackets around numbers with the "m" to avoid confusing the units with a variable.
The formula for perimeter of a rectangle is P = 2(l + w)
Substitute "l" and "P" into the perimeter formula with the equations above. Simplify, then isolate "w".
P = 2(l + w)
(48m) = 2(w + (6m) + w) Collect like terms (w + w = 2w)
(48m) = 2(2w + (6m)) Distribute over brackets
(48m) = 4w + (12m) Start isolating "w"
(48m) - (12m) = 4w + (12m) - (12m) Subtract 12m from both sides
(36m) = 4w
4w/4 = (36m)/4 Divide both sides by 4
w = 9m Width of rectangle
Find "l" using the formula for length. Substitute the width.
l = w + (6m)
l = (9m) + (6m) Add
l = 15m Length of rectangle
Use the formula for the area of a rectangle A = lw.
Substitute the values we found for length and width.
A = lw
A = (15m)(9m) Multiply
A = 135m² Area of rectangle
Therefore the area of the rectangle is 135m².
PLEASE HELP PLEASE HELP
List four values that would be a solution to -2x > 10. Then, in 2 to 3 complete sentences, explain how you know your four values are solutions.
Answer:
-6, -7, -8, -9
Step-by-step explanation:
-2x > 10
x < -5
So x can be -6, -7, -8, -9
Any number less than -5 is a solution.
The listed ones are the solutions because they satisfy the the inequality,
-2x > 10
x = -6, -2(-6) > 10 12 > 10
x = -7, -2(-7) > 10 14 > 10
x = -8, -2(-8) > 10 16 > 10
x = -9, -2(-9) > 10 18 > 10
What is the definition of unit?
Answer:
an individual thing or person regarded as single and complete but which can also form an individual component of a larger or more complex whole
Ryan is trying to determine whether 2.7x – 5.9 is equivalent to 2.8x – 5.9. To test this, he substitutes 0 for x into both expressions. Explain why this will not give him the correct answer.
Answer:
read explanation
Step-by-step explanation:
This won't give him the correct answer because if he substitutes zero into anything he will get -5.9. 0 multiplied by anything is 0 and if you put that into bot equations you get the same answer so it won't help him. he should instead try 1 or something like that.
You randomly draw a marble from a bag of marbles that contains 3 blue marbles, 4 green marbles, and 5 red marbles.
What is P(draw a blue marble)?
If necessary, round your answer to 2 decimal places.
Answer:
0.25
Step-by-step explanation:
number of trial = 12
probability of getting blue marbles = 3/12
0.25
The dimensions of a rectangular prism are shown in the diagram below. Write an expression that represents the volume of the rectangular prism?
Hint: Aprism= Length x width x height
Answer:
[tex]V=(a^{4})(b^{6})\ units^3[/tex]
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
[tex]V=LWH[/tex]
In this problem we have
[tex]L=ab^2\\W=ab^3\\H=a^2b[/tex]
substitute
[tex]V=(ab^2)(ab^3)(a^2b)[/tex]
Applying property of exponents
[tex]x^{m} x^{n}x^{r} =x^{m+n+r}[/tex]
[tex]V=(a^{4})(b^{6})\ units^3[/tex]
Which of the following are quadratic equations
(i) (P + 1) (P + 2) (P+4) (ii) (x + 2)(square)= 7
(iii) k +2/5 - 5 = 0 (iv) M(square)– 1 = 0
(v) (x – 3)(cube) + 4 = 0
Answer:
(ii) (x+2)²=7(iv) M²-1 = 0HOPE U UNDERSTOOD★THANKS★
ANY DOUBTS? COMMENT PLEASE
Enter the number
15.666666666667 rounded to the nearest hundredth (two decimal places):
Answer: 15.67
Step-by-step explanation:
Pot Santa
Answer:
15.67
Step-by-step explanation:
focus only on the underlined area
15.666666666667
round the last 6 underlined is what we are going to use to round the one before it
5 or more goes up so the six is now rounded to a seven on that part leaving you with 15.67
A Physician instructs a patient with an ulcer to start Tagamet HB (OTC) 200mg tablets BID PO For 14days.
How many tablets are needed to fill this RX?
Answer:
28
Step-by-step explanation:
2 pills for 14days=28 pills in total
When a number is decreased by 78%, the result is 16. What is the original
number to the nearest tenth?
Answer:
70
Step-by-step explanation:
16÷(100%-78%) = 16÷22% = 72.73 =70(correct to the nearest tenth)
The graph of a linear function is shown.
A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing through (0, 0) and (5, 1).
Which word describes the slope of the line?
positive
negative
zero
undefined
See picture for answer and explanation.
We can completely define a line equation by only knowing two points on the line, so we will use that to find our line's slope.
The slope is positive. (We will see that the slope is equal to 1/5).
The first general rule is that, if the line, readen from lest to right increases, then the slope is positive. (Here by the description we know that it increases).
But let's find the slope to see this.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we can use two of the given points to find the slope, I will use the first two: (-5, -1) and (0, 0)
We will get:
[tex]a = \frac{0 - (-1)}{0 - (-5)} = \frac{1}{5}[/tex]
So the slope is 1/5, which is positive.
Then the correct option is the first one.
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A triangular prism has a base area or 20 square feet and a height of 4 feet. What’s the volume
Answer:
Just multiply four times twenty and youll get your answer
See picture for solution to your problem.
write a multiplication equation with one variable, and one fraction that has a solution of 8
Final answer:
To create an equation yielding a solution of 8, use a variable x and the fraction 1/4. By multiplying x by 32, the equation will result in 8.
Explanation:
To write a multiplication equation with one variable and one fraction yielding a solution of 8:
Start with the fraction 1/4.
Multiply that fraction by x = 32 to get a product of 8.
the sum of twice a number and 4 times another number is 4. the first number decreased by the second number is 5. Find the numbers
The two numbers being asked in the question are 4 and -1.
Explanation:This question can be solved using a system of linear equations. Let's call the first number x and the second number y.
From the first statement, we can create one equation: 2x + 4y = 4
From the second statement, we can create another equation: x - y = 5
To solve this system, we can use substitution or elimination method. If we multiply the second equation by 2, we get 2x - 2y = 10. Now, we can subtract the second equation from the first: (2x + 4y) - (2x - 2y) = 4 - 10, which simplifies to 6y = -6. Dividing both sides by 6, we get y = -1.
Substitute y = -1 into the equation x - y = 5, we get x - (-1) = 5. Therefore, x = 5 - 1 = 4.
So, the first number x is 4 and the second number y is -1.
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What steps can be used To solve 6\7x+1/2=7/8
I'm guessing you mean (6/7)x+(1/2)=7/8
Subtract 1/2 (also 4/8) from both sides: (6/7)x=3/8
Divide both sides by 6/7: x=21/48=7/16
So x is 7/16
Hope this helped!
Are the following like terms: 7x and 9x
Answer: Yes
Step-by-step explanation: 7x and 9x are called terms and the numbers in front of the variables, +7 and +9 are called coefficients.
Because the variables, x and x are identical, the two terms in this problem are called like terms so yes, 7x and 9x are like terms.
Can someone plz help me with this I am in “confusion”.
Answers are 1. a = 32, b = 2, 3. c = 4, 4. x = -3, 5. y = -7, 6. z = -2, 7. m = -7, 8. n = -4, 9. s = -3, 10. r = 5, 11. t = 3, 12. p = 2, 13. x = 9, 14. w = 6, 15. g = 1.5, 16. v = -16, 17. b = -6, 18. h = -5, 19. k = -2.5, 20. d = -3.5, 21. r = -8, 22. z = -9, 23. x = -7, 24. y = 3.5, 25. y = 9, 26. w = 8.
Step-by-step explanation:
Step 1; To solve the given equations we keep the unknown variable on one side while the known numbers are taken to the other side. If both sides are negative the answer has a positive value while if one side is positive and one side is negative, the answer is negative.
Step 2; Solve
1. a = 9/3= 3,
2. b = 14/7 = 2,
3. c = 36/9 = 4,
4. x = -15/5 = -3,
5. y = 28/-4 = -7,
6. z = -16/8 = -2,
7. m = 28/-4 = -7,
8. n = 8/-2 = -4,
9. s = -21/7 = -3,
10. r = -25/-5 = 5,
11. t = -18/-6 = 3,
12. p = -18/-9 = 2,
13. x = 18/2 = 9,
14. w = 24/4 = 6,
15. g = 9/6 = 1.5,
16. v = -32/2 = -16,
17. b = -18/3 = -6,
18. h = -35/7 = -5,
19. k = 20/-8 = -2.5,
20. d = 14/-4 = -3.5,
21. r = -72/9 = -8,
22. z = 27/-3 = -9,
23. x = -35/5 = -7,
24. y = 28/8 = 3.5,
25. y = 81/9 = 9,
26. w = 16/2 = 8.
11) Matthew goes hiking every 12 days and
swimming every 25 days. He did both kinds of
exercise today. How many days from now will he
go both hiking and swimming again?
Answer:
300
Step-by-step explanation:
12 and 25 have no common factors, so their least common multiple is their product:
12·25 = 300
Matthew will do both again in 300 days.
Ashley is taking out a loan in the amount of $12,000. Her choices for the loan are a 4-year loan at 7.00% annual simple interest and a 5-year loan at 8.00% annual simple interest. What is the difference in the amount of interest Ashley would have to pay for these two loans?
Simple interest formula: A= P(1+Ryan)
A = 12000(1+ 0.07x4) = 15,360.00
Amount of interest = 15360-12000= 3,360.00
A= 12000(1+0.08x5) = 16,800.00
Interest = 16,800-12,000 = 4,800.00
Difference in interest = 4800 - 3360 = $1,440.00
Answer:
1440
Step-by-step explanation:
The profits for video game companies depend on what game platform the game runs on, which can either be a portable system (p) with a built in screen, or a standard system (s) that you have to hook up to a television. The profit off of a portable game system is $72, while the profit from a standard game system is $90. The store manager has to make at least $360 per day in order to keep the store open. Which graph represents this inequality? Write the inequality that represents the number of games that must be sold everyday to meet or beat the sales goal.
To meet or beat the sales goal, the inequality 72x + 90y ≥ 360 can be used to represent the number of games that must be sold every day. The graph of this inequality would show the region above or on the line 72x + 90y = 360.
To meet or beat the sales goal of at least $360 per day, we can set up an inequality based on the profits from selling games. Let x be the number of portable game systems sold and y be the number of standard game systems sold. The inequality representing the number of games that must be sold every day is 72x + 90y ≥ 360.
To graph this inequality, we can plot the points on a graph where each point represents a combination of x and y. Then we shade the region that satisfies the inequality, which is the region above or on the line 72x + 90y = 360.
See the graph in the attached image for visual representation.
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Solve by substitution:
2x+6y=16
3x-5y=-18
Answer:
Step-by-step explanation:
y= 16
x=15
Using the substitution method,
The value of x is -1 and y is 3.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 8 is an equation.
We have,
2x + 6y = 16 _____(1)
3x - 5y = -18 ______(2)
From (1) we get,
2x = 16 - 6y
x = (16 - 6y)/2
Substituting in (2).
3x - 5y = -18
3 x (16 - 6y)/2 ) - 5y = -18
3 x (8 - 3y) - 5y = -18
24 - 9y - 5y = -18
24 + 18 = 9y + 5y
42 = 14y
y = 42/14
y = 3
And,
x = (16 - 6y)/2
x = (16 - 6 x 3) / 2
x = (16 - 18) / 2
x = -2/2
x = -1
Thus,
x = -1 and y = 3.
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Area of circumference of 50.24ft
Answer:
[tex]200.96sq.ft.[/tex]
Step-by-step explanation:
Given:
Circumference= 50.24 ft.
We have to find the area of the circle.
Finding the radius with the help of given circumference
Circumference of a circle= [tex]2\pi r[/tex]
[tex]50.24=2*\pi* r\\\\50.24=2*(3.14)*r\\\\50.24=6.28*r\\\\r=\frac{50.24}{6.28} \\\\r= 8ft.[/tex]
Area of a circle= [tex]\pi r2[/tex]
[tex]=\pi *8*8\\\\=64*\pi \\\\=64*3.14\\\\=200.96sq.ft.[/tex]
the nutritional label on a carton of soy milk says that one glass contains 7 grams of protein. How many miligrams of proten does one glass contain?
Answer:
700 milligrams of protein is contained in one glass.
Step-by-step explanation:
Given:
Protein present in on glass of soy milk = 7 grams
To Find:
How many milligrams of protein does one glass contain =?
Solution:
We have to convert grams to milligrams
We know that 1 gram = 100 milligram
then 7 grams will be = [tex]7 \times 100[/tex] milligrams
7 grams = 700 milligrams
Therefore in one glass of soy milk there will be 700 milligrams of proteins