Answer:[tex]2 m/s^{2}[/tex]
Step-by-step explanation:
According to Newton's second law, the acceleration [tex]a[/tex] of an object with mass [tex]m[/tex] is directly proporional to the force [tex]F[/tex] applied to that object:
[tex]F=m.a[/tex] (1)
In the first case we are given the following data:
[tex]F=28 N[/tex]
[tex]a=7 m/s^{2}[/tex]
Substituting this information in (1):
[tex]28 N=(m)(7 m/s^{2})[/tex] (2)
Isolating [tex]m[/tex]:
[tex]m=4 kg[/tex] (3) This is the mass of the object
Now if we keep this calculated mass, but we change the applied force to [tex]F=8 N[/tex], we will have:
[tex]8 N=(4 kg)a[/tex] (4)
Isolating the acceleration:
[tex]a=2 m/s^{2}[/tex] (5) This will be the acceleration of the object is the force is changed to 8 N.
suppose you borrowed $112,500 at 5 1/2 % interest on June 10 for 72 days. your bank uses the exact interest method. Determine the amount of interest on the loan?
Answer:
used an interest calculator
(Easy) help please **attachment**
Answer:
Step-by-step explanation:
Supplementary: ADC
Complementary: AC
Adjacent: ABC
Hope this helps.
cos^2x+sin^2x/cot^2x-csc^2x
[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]
Solution:
Given trignometric expression is:
[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x}[/tex]
We have to evaluate the above expression
Let us use the trignometric identities
[tex]sin^2x + cos^2x = 1[/tex]
Also, use another trignometric identitiy
[tex]1 + cot^2x = cosec^2x[/tex]
Therefore, upon rearranging we get,
[tex]cot^2 x -cosec^x = -1[/tex]
Apply these two identities in given expression
[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = \frac{1}{-1}\\\\\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]
Thus value of given expression is -1
the length of a rectangle is 3 yards more than twice the width x the area is 629 yd.²
Answer:
The length is 37yd
The width is 17yd
Step-by-step explanation: please see attachment for explanation
Find the LCM of 91, 143 and 169
Answer:
13013
Step-by-step explanation:
Express each number in terms of the product of prime numbers.
91 = 7 × 13
143 = 11 × 13
169 = 13 × 13
Now consider the maximum number of times each factor occurs for each number.
The factor 7 occurs once
The factor 11 occurs once
The factor 13 is repeated twice ( maximum number of times for 1 number )
Thus LCM = 7 × 11 × 13 × 13 = 13013
91 = 7×13
143 = 11×13
169 = 13²
LCM = 7×11×13² = 77×169 = 13013
HEEELLLPPPPPPP
Suppose θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ= -2/17 . Find the exact values of the five remaining trigonometric functions of θ.
Final answer:
Given an angle θ in Quadrant IV with cotθ = -2/17, a right triangle is formed. Using the Pythagorean theorem, the hypotenuse is calculated, and the five additional trigonometric functions of θ are determined with appropriate signs for Quadrant IV.
Explanation:
If θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ = -2/17, we can find the five remaining trigonometric functions.
The cotangent of an angle θ, which is the reciprocal of the tangent, tells us that the tangent of θ is -17/2. Since the angle is in Quadrant IV, where cosine and secant are positive but sine and cosecant are negative, we can form a right triangle within the coordinate plane to represent this scenario. In this triangle, the adjacent side (x) to the angle θ will be positive, and the opposite side (y) will be negative.
Using the Pythagorean theorem, if we assume the adjacent side to be 17 (because cotθ = adjacent/opposite), and the opposite side to be -2 (to make cotθ = 17/(-2) = -2/17), the hypotenuse (r) can be calculated as:
√(17² + (-2)²) = √(289 + 4) = √293
Now we can find the other five trigonometric functions:
Sinθ = opposite/hypotenuse = -2/√293Cosθ = adjacent/hypotenuse = 17/√293Tanθ = opposite/adjacent = -2/17 (which was given)Cscθ = hypotenuse/opposite = -√293/2Secθ = hypotenuse/adjacent = √293/17The signs of these values are consistent with the properties of trigonometric functions in the fourth quadrant.
let h represent Mark’s height in inches. Suzanne is 7 inches shorter than mark. Write an algebraic expression that represents Suzanne’s height in inches.
Answer
h-7
Step-by-step explanation:
Claire is buying a new bicycle for $295. If the
sales tax is 4.75%, what will she pay in total?
Answer:
$309.01
Step-by-step explanation:
To calculate tax, you need to turn the percent to a decimal. This is done by moving the decimal point two spaces to the left, adding zeros and needed.
4.75% = 0.0475
Now take the price of the bike, 295, and multiply it by 0.0475.
295 x 0.0475 = 14.0125
All you need are the first two numbers after the decimal point since you are dealing with money.
Add the product, 14.01, to the price of the bike, 295, and you have your answer.
$309.01
Hope this helps.
Answer:
309.01
Step-by-step explanation:
PLEASE HELP QUICK!!!! I WILL GIVE YOU BRAINLIEST!!!
What is the vertex of the function: f(x) = x² + 12x ? Please explain.
(–6, 0)
(-6, -36)
(6, 0)
(6, –36)
The vertex of the function is (-6,-36).
Step-by-step explanation:
f(x) = x²+ 12x
From the above function, we can find the x- coordinate of the vertex as,
x = -b/2a
Here a = 1, b = 12
Plugin the values as,
x = -12 /(2×1) = -6
Now plug in the x value in the above function, we will get y as,
f(x) = y = x² + 12x = (-6)² + 12(-6)
= 36-72 = -36
So the vertex is (-6, -36).
In a certain school 75% of the students in first year chemistry have had algebra if there are 300 students in first year chemistry how many of them have had algebra?
Answer:
225
Step-by-step explanation:
Total number of students =300
75% have had algebra
Number of students that have had algebra will be
= 75%/100% x 300
= 0.75 x 300
= 225
So, 225 of the 300 students have had algebra
Answer:225 students
There are 2 simple ways to get the answer.
5x
4x - 8
Find the value of x.
68 + x
x= 30°
x = 10.4°
x = 12°
x = 24°
Answer:
x = 12
Step-by-step explanation:
If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?
Answer:
1:10 pm
Step-by-step explanation:
60 minutes in an hour, so
8:50am + 4 hours = 12:50pm
12:50pm + 20 minutes = 1:10pm
I’ve been stuck on this question for a while someone please help me
A) Equation: f = 2.75p
B) 38.5 cups of flour are needed to make 14 pound cakes
Step-by-step explanation:
A)
The table shows the following data:
Pound cakes, p 3 6 9
Cups of flour, f 8.25 16.5 24.75
From the table, we notice that the increase in cups of flour needed per increase in pound cakes is:
[tex]m=\frac{16.5-8.25}{6-3}=\frac{8.25}{3}=2.75[/tex]
This means that for each additional pound cake, we need 8.25 more cups of flour.
This is a direct relationship between the two variables, therefore we can write their relationship using the equation:
[tex]f=2.75 p[/tex]
B)
Now we can complete the table.
We have to found how many cups of flour are needed when the number of pound cakes is
p = 14
In order to do that, we use the equation found in part A):
f = 2.75p
And substituting p = 14 into the equation, we find
f = (2.75)(14)= 38.5
Which means that 38.5 cups of flour are needed to make 14 pound cakes.
Learn more about equations:
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Write 5/10 in 3 equivalent forms
Answer:
0.5 50/100 0.50
Step-by-step explanation:
f(x)=x^2. What is g(x)?
Answer:
The answer is A
Step-by-step explanation:
B (1/4x)^2 will widen the parabola
C 4x^2 is too wide to be g(x)
D (16x)^2 is too narrow to be g(x)
A is the correct answer. When graphed on desmos . com / calculator it shows this is the correct answer. I hope this helped!
find the next 3 terms in the sequence:30,22,14,6
A.-3,-12,-21
B.-1,-8,-15
C.-1,-2,3
D.-2,-10,-18
Answer:
D
Step-by-step explanation:
Note the difference between consecutive terms is constant, that is
22 - 30 = - 8
14 - 22 = - 8
6 - 14 = - 8
To obtain a term in the sequence subtract 8 from the previous term, thus
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
The next 3 terms in the sequence are - 2, - 10, - 18 → D
Choose the fraction that goes in the blank. 5/12< _____<3/4
Answer:
All of the following fractions work: 1/2, 7/12, 8/12. There are endless possibilities.
Please mark as Brainliest! :)
Answer:
6/12 ; 7/12 ; 8/12
Step-by-step explanation:
³⁾3/4 = 9/12
5/12 < 6/12 < 7/12 < 8/12 < 9/12
A graduated cylinder is filled with 36 cm 3 of liquid the liquid is poured into a different cylinder that has a radius of 3cm , what will the height of the liquid be in the new cylinder ?
The height of the liquid in the new cylinder is about 1.72 cm
Step-by-step explanation:
The formula of the volume of a cylinder is V = πr²h, where
r is the radius of the base of the cylinderh is the height of the cylinder∵ The volume of the liquid = 36 cm³
∵ The liquid is poured into another cylinder with radius 3 cm
∵ The radius of the base = 3 cm
- To find the height of the liquid in the new cylinder equate the rule
of the volume by 36
∵ V = πr²h
∴ π(3)²h = 36
∴ 9πh = 36
- Divide both sides by 9π
∴ h = 1.273239545
The height of the liquid in the new cylinder is about 1.72 cm
Learn more:
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What scenario below represents 85% earning 56 out of 70 points on a test are you 78 out of 90 points on a test earning 102 out of 120 points on a test
Answer:
The scenario that represents a 85% of success on a test is C. 102 out of 120 points
Step-by-step explanation:
Let's analyze which of the scenarios given, represent a 85% of success on a test, this way:
Scenario A:
56 out of 70 points = 56/70 = 0.8
This scenario represents a 80% of success
Scenario B:
78 out of 90 points = 78/90 = 0.867
This scenario represents a 86.7% of success
Scenario C:
102 out of 120 points = 102/120 = 0.85
This scenario represents a 85% of success
At a given time of day , the ratio of the height of an object to the length of its shadow is the same for all objects. If a 4-ft stick in the ground casts a shadow of 2.4 ft, find the height of a tree that casts of shadow that is 23.04ft.
Answer:
38.40 ft
Step-by-step explanation:
The problem statement tells you the proportion is ...
height/shadow = (4 ft)/(2.4 ft) = (tree height)/(23.04 ft)
Multiplying by 23.04 ft, we find ...
tree height = (23.04 ft)(4/2.4) = 38.40 ft
The height of the tree is 38.40 ft.
Totsakan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 adult tickets and 8 child tickets for a total of $117. The school took in $182 on the second day by selling 6 adult tickets and 8 child tickets. Find the price of an adult ticket and the price of a child ticket.
Answer:
Each ticket cost $13
Step-by-step explanation:
Day 1-- 1 adult and 8 child ticket= Total of 9 tickets = $117
Day 2--6 adult and 8 child ticket= Total of 14 = $182
Brainliest please :)
A function is defined as {(0, 1), (2, 3), (5, 8), (7, 2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function? (1) (0, 2) (4) (1, 3) (3) (7, 0) (2) (5, 3)
Answer:
2
Step-by-step explanation:
Simplify this algebraic expression completely.
5y- 3(y + 2)
Distributive property: 5y-3y-6
Combine like terms: 2y-6
So there's your answer
To simplify the given expression, distribute the -3 to both terms inside the parentheses, then combine like terms.
Explanation:To simplify the expression 5y - 3(y + 2), we need to follow the order of operations, which is parentheses first, then multiplication and division, and finally addition and subtraction.
First, distribute the -3 to both terms inside the parentheses:
5y - 3 * y - 3 * 2
Now, simplify each term:
5y - 3y - 6
Combine like terms:
2y - 6
This is the simplified form of the given expression.
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Find the area of the shape shown below.
Answer:
936
Step-by-step explanation:
1 x 12 x 13 x 6= 936
Here is some evidence
Answer:36
Step-by-step explanation: L•w/2 = A for triangular
What is the equation of the line passing through the point (-3,1) that is perpendicular to the line 2x+y=0
Answer:
look at the picture shown
If Lin wants to save 75$ for a trip to the city and has already saved 37.50 so far what percentage of her goal has she saved
Answer:
50%
Step-by-step explanation:
Let X be the % of total that she has saved
X/100 x 75 = 37.50
75X = 37.50 x 100
X = 37.50 x 100 / 75
= 3750/75
= 50%
Find slope-intercept of a line going through (-5,-5) with the slope 2/5
Answer:
y=2/5x-3
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=2/5(x-(-5))
y+5=2/5(x+5)
y=2/5x+2-5
y=2/5x-3
Will make brainliest if answered correctly
Answer: Yes it is
Step-by-step explanation: In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set
Answer:
yes
hope this helps
ida goes to the store to buy groceries. To pay for the groceries, she slides the card through a card reader and puts in a special code. Which payment method is this?
Answer:
Credit Card
Step-by-step explanation:
This is most likely a credit card.
You only need to put a special code in when you're inputting a credit cards pin number.
it is c my dudes yes hes yes
2/3x=6 what does x equal
Answer:
1
Step-by-step explanation:
You need to do the opposite of multiplying which is dividing so divide 6/3= 2 then you divide 2/2 which is 1