Answer:
2 Inches or ~1.43 Inches
Step-by-step explanation:
2 Inches if it's not including the spacing before the first "E" and after the "S", ~1.43 Inches if it's including the spacing.
You would get 2 Inches since if each letter is 10 inches (total 6 letters), that would be 60 inches. There are 5 total spaces in between all the letters. 70 Inches(Banner size) - 60 Inches (total letter size) = 10 Inches, divided equally within the 5 spaces. That would equal 2 :)
You also get ~1.43 Inches by doing the same process as the one shown above^ (that is if you're including the spacing before and after the word)
:)
Joyce paid $108.00 for an item at the store that was 40 percent off the original price. What was the original price?
The original price of the item is $180
The values given in the question are;
Actual cost of the item Joyce bought= $108
The item was sold 40 percent off the original price
The original price can be calculated as follows
The first step is to subtract 40% from 100%
100%- 40%
= 60%
Let x represent the original price of the item
60/100x= 108
0.6x= 108
Divide both sides by the coefficient of x which is 0.6
0.6x/0.6= 108/0.6
x= 180
Thus, the original price of the item is $180
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Need some help with macroeconomics !
The monetary policy that the Central Bank is using to address the downturn in the economy is the reduction of the reserve requirement from 17% t 14%.
What is monetary policy?It should be noted that the monetary policy is the set of actions to control money supply in the economy.
The macroeconomic issues resulting from the pandemic on Trinidad and Tobago are that there are less money in circulation and there's a reduction in the standard of living.
The reduction of the reserve requirement will impact the money supply as it will lead to more money in circulation.
Complete question:
1. What form of monetary policy can the Central Bank use to address the downturn in the economy resulting from the pandemic?
2. Identity and explain two macroeconomic issues resulting from the pandemic on Trinidad and Tobago.
3. Identify how the reserve requirement will impact the money supply.
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Suppose you are still committed to owning a $190,000 BMW (see Question 9). If you believe your mutual fund can achieve a 12% annual rate of return and you want to buy the car in nine years on the day you turn 30, how much must you invest today?
The amount of money which you must invest today is equal to $68,517.85.
How to calculate the present value?Mathematically, the present value of an investment can be calculated by using this formula:
Present Value, PV = FV/(1 + r)^t
Given the following data:
Time, t = 9 years.
Future value, FA = $190,000.
Interest rate, r = 12% = 0.12.
Substituting the given parameters into the formula, we have;
PV = 190,000/(1 + 0.12)^9
PV = 190,000/(1.12)^9
PV = 190,000/2.7730
PV = $68,517.85.
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A shark begins 172.5 meters below sea level and then swam up 137.1 meters,. Where is the sharks location now in relation to sea level
Answer:
35.4m below sea level
Step-by-step explanation:
172.5 - 137.1 = 35.4
The shark's location is now 35.4m below sea level.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
For example 4 -2 = 2
Using the arithmetic operations of addition and subtraction, the shark's location is now in relation to sea level if the shark begins 172.5 meters below sea level and then swam up 137.1 meters.
Assume that distance below sea level is positive,
⇒ 172.5 - 137.1 = 35.4
Hence, the shark's location is now 35.4m below sea level.
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14. A photograph measures eight inches wide and ten inches long. The picture is enlarged to fit on a wall. If the new larger picture is 208 inches wide, how long is it?
Answer:
The file contains the solution to the question
Solve the equation
7/4x-2=-5x+1
[tex]\frac{7}{4}[/tex] [tex]x\:-\:2\:=\:-5x\:+\:1[/tex]
Solution:[tex]\frac{7}{4}[/tex] [tex]x\:-\:2\:=\:-5x\:+\:1[/tex]
[tex]7x\: - \:8 \:=\: -20x\: + \:4 [/tex]
[tex]7x \:- \:8 \:+ \:20x \:= \:4[/tex]
[tex]7x\: + \:20x \:= \:4 \:+ \:8 [/tex]
[tex]27x\: = \:4\: + \:8[/tex]
Answer:[tex]x\:= [/tex] [tex]\frac{4}{9}[/tex]
#CarryOnLearning
Answer:
x = 4/9
Step-by-step explanation:
Solve for x
7/4 x -2 = -5x +1
Add 5x to each side
7/4 x -2+5x = -5x +1+5x
7/4 x + 5x -2 = 1
Get a common denominator for the x terms
7/4x +20/4x -2 = 1
Add 2 to each side
27/4 x -2+2 = 1+2
27/4 x = 3
Multiply each side by 4
27/4 x *4 = 3*4
27x = 12
Divide each side by 27
27x/27 = 12/27
x = 12/27
Simplify
x = 4/9
solve the simultaneous equation 2x+y=22 =12, x + 24+2 = 18, 2x -y +22=16
The solution for the simultaneous equations 2x + y - 2z = 12, x + 2y +z =18 and 2x - y + 2z =16 are x = 7, y = 4 and z = 3
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the solution to the simultaneous equations?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2x + y - 2z = 12,
x + 2y +z =18
2x - y + 2z =16
Eliminate y and z in the equations by adding the first and the third equation together
This gives
2x + y - 2z = 12,
+
2x - y + 2z =16
--------------------------
4x = 28
Divide both sides by 4
x = 7
Substitute x = 7 in x + 2y +z =18 and 2x - y + 2z =16
7 + 2y +z =18
2(7) - y + 2z =16
This gives
2y + z = 11
-y + 2z= 2
Multiply -y + 2z= 2 by 2
-2y + 4z= 4
Add -2y + 4z= 4 and 2y + z = 11
5z = 15
Divide by 5
z = 3
Substitute z = 3 in -y + 2z= 2
-y + 2*3= 2
Evaluate
y = 4
Hence, the solution for the simultaneous equations 2x + y - 2z = 12, x + 2y +z =18 and 2x - y + 2z =16 are x = 7, y = 4 and z = 3
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A satellite orbits the Earth at a height of 343 kilometers. If the satellite makes 8 revolutions around the Earth, how many kilometers does it travel? (Earth's diameter is 6371 kilometers.) Use 3.14 as the approximate value of pi .
The number of kilometres travelled by the satellite in discuss in which case, the satellite makes 8 revolutions around the earth is; C = 177,271.8 km.
What is the distance in kilometres covered by the satellite after 8 revolutions?Given from the task content, the earth's diameter is; 6371 km and since, the height at which the satellite orbits the earth is; 343km, it follows that the diameter of orbit if the satellite in discuss is;
D = 6371 + (343)×2
Hence, we have; diameter, D = 7057 km.
Hence, the distance travelled after 8 revolutions is;
C = 8 × πd
C = 8 × 3.14 × 7057
C = 177,271.8 km.
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SOLVE THE FOLLOWING PROBLEMS.
A) IN HOW MANY WAYS CAN THE LETTERS OF THE WORD “TRACK” BE ARRANGED?
B) A STUDENT MUST SELECT AND ANSWER SIX OUT OF TEN QUESTIONS ON AN EXAM. IN HOW MANY WAYS CAN THIS BE DONE?
C) A TEACHER DECIDES TO GIVE SIX IDENTICAL PRIZES TO 6 OF THE 20 STUDENTS IN HIS CLASS. IN HOW MANY WAYS CAN THIS BE DONE
The answers to the question are:
12021038760How to solve for permutations and combinations1. The letters of the word track can be arranged in 5! ways
These are 5 x 4 x 3 x 2 x1
= 120
2. The way that the student would be able to select 6 out of 10 questions would be by 10C6
= 210 ways
C)This teacher would be able to make the decision of the prices to the students using =20C6= n!(n-r!r!)
= 38760
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INDUSTRIES IS CONSIDERING PURCHASING A CERTAIN STOCK. AFTER
CONSIDERABLE RESEARCH, THE BOARD MEMBERS DETERMINE THAT THERE IS A 60% CHANCE OF MAKING $8000, A 10% CHANCE OF BREAKING EVEN, AND A 30% CHANCE
OF LOSING $6200. FIND THE EXPECTATION OF THIS PURCHASE
Throughout this course, you have examined how real-world scenarios can be modelled using quadratic functions, exponential functions, trigonometric ratios sinusoidal functions, and sequences and series. Part A:- In this task, you will be creating unique real-world problems that can be modelled using the functions that we have learned. You may use real-world scenarios that we have examined throughout the course, but your problem should be created by you and have a unique description. Choose three (3) of the five (5) topics below and create a real-world scenario related to each of the three. 1. Exploring Quadratic Functions to Find Zeros or the Vertex; 2. Exponential Growth or Decay; 3. Using Trigonometric Ratios to Solve Three Dimensional Problems; 4. Representing Periodic Behaviour with Sinusoidal Functions: 5. Solving Financial Problems using Sequences & Series.
PLEASE SOLVE WITHOUT USING RADINAS
The exponential function is illustrated below.
How to illustrate the example?An exponential function has a growth factor or 3.76. What is the percentage growth rate?
The growth factor (b) is given as:
b = 3.76
So, the percentage growth rate (r) is calculated as:
r = b - 1
Substitute known values
r = 3.76 - 1
Evaluate the difference
r = 276%
The way to solve Financial Problems using Sequences & Series will be:
The first salary that Mr James earn is 10000 and there is a yearly increase of 2000. Find his salary in the 5th year. This will be:
= a + (n - 1)d
= 1000 + (5 - 1)2000
= 10000 + (4 × 2000)
= 10000 + 8000.
= 18000
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An isosceles trapezoid has a perimeter of 108 metres. Its shorter base measures 11.5 metres and its longer base measures 28.1 metres. The two remaining sides have the same length; what is that length?
The length of one of the remaining sides is 34.20 meters.
What is the length?A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Perimeter of an isosceles trapezoid = sum of lengths of sides of a trapezoid
length of shorter base + length of longer base + (2 x legs)
108 = 11.5 + 28.1 + (2 x legs)
108 = 39.60 + (2 x legs)
108 - 39.60 = (2 x legs)
68.40 = (2 x legs)
leg = 68.40 / 2
= 34.20 meters
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Use the following information collected in a town of fast food restaurants. 13 served hamburgers, 8 served roast beef sandwiches, 10 served pizza, 5 served hamburgers and roast beef sandwiches 3 served hamburgers and pizza, 2 served roast beef sandwiches and pizza, 1 served hamburgers, roast beef sandwiches and pizza, 5 served none of the three foods
a) Construct a Venn Diagram and put the correct numbers in the Venn diagram.
b) Find the Probabilities. P(pizza)= ___________
c) P (roast beef and pizza)=___________
d) P ( hamburgers, but not roast beef) =______________
e) P (only hamburgers) = ____________
Answer:
I don't know what are you saying bro
Maricopa's Success scholarship fund receives a gift of $ 215000. The money is invested in stocks, bonds, and CDs. CDs pay 2.25 % interest, bonds pay 2 % interest, and stocks pay 9.2 % interest. Maricopa Success invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 8087.5 , how much was invested in each account?
The amount of money invested in stocks was $50000, $90000 was invested in bonds and $75000 was invested in CDs
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the amount of money invested in stocks, y represent bonds and z represent CDs, hence:
x + y + z = 215000 (1)
Also:
0.0225z + 0.02y + 0.092x = 8087.5 (2)
And:
y = 15000 + z (3)
The solution of the equation is:
x = 50000, y = 90000 and z = 75000
The amount of money invested in stocks was $50000, $90000 was invested in bonds and $75000 was invested in CDs
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pls help me!!! #18-19
Answer:
18. Sqrt40 goes between 6 and 7.
19. Sqrt83 ~= 9
Step-by-step explanation:
For both of these problems, it's really useful to be very familiar with the perfect squares on the times table. 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225...
On #18, we're looking at the sqrt40. This will be between sqrt36 and sqrt49, because 40 is between 36 and 49. But sqrt36 is 6 and sqrt49 is 7. So sqrt40 is between 6 and 7.
For #19, the sqrt83 is far closer to sqrt81 than it is to sqrt100. Sqrt81 = 9. So sqrt83 is very close to 9, it would round to 9 and not 10.
Ke'o went shopping and spent $114 on clothes
and bought 5 pocket squares for the same price and one pairs
of $14 shorts. Write an equation for this story
problem, then solve for the price of the shirts.
Select two answers.
A. equation: 5[x+(1)(14)] = 114
B. price of each pocket square: $28
C. price of each pocket square: $25
D.equation: [(1)(14) - 5] = 114
E. price of each pocket square: $20
F. price of each pocket square: $19
G. equation: [5+ (1)(14)] = 114
H. equation: 5x+(1)(14) = 114
Using a number line, find both the intersection and the union of the following
intervals:
(-∞, 6) and (-∞, 9)
The intersection of the two intervals in the number line will be = 4, 5, 6,.......+∞ = (-∞,6).
The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-∞),9)
How to illustrate the information?The given intervals are;
First interval = (-∞, 6)
Second interval = (-∞, 9)
Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞
The second interval includes, 4, 5,.....,+∞
Which gives the intersection as 4, 5, 6,7, 8,9......+∞
The union is the interval that combines the two sets of intervals which is given as follows;
The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞
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Round 229.371to the nearest one tenth and hundredths
Answer:
229.37, 229.4
Step-by-step explanation:
1. Hundredths
2. Tenths
Solve using the distributive property -5(-3u-3x+4)
Answer:
15u+15x-20
Step-by-step explanation:
* = multiply or times
We have to multiply everything in the parenthesis by -5, meaning:
-5*-3u = 15u
-5*-3x = 15x
-5*4 = -20
Put it all together: 15u+15x-20
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{What is the distributive formula?}[/tex]
[tex]\mathsf{a(b + c)}\\\\\mathsf{= a(b) + a(c)}\\\\\mathsf{= ab + ac}[/tex]
[tex]\large\textbf{Extended distributive property formula:}[/tex]
[tex]\mathsf{a(b + c + d)}\\\\\mathsf{= a(b) + a(c) + a(d)}\\\\\mathsf{= ab + ac + ad}[/tex]
[tex]\huge\textbf{What are we solving for?}[/tex]
[tex]\large\textbf{It seems like you have the extended distributive property}[/tex]
[tex]\mathsf{-5(-3u - 3x + 4)}[/tex]
[tex]\huge\textbf{What are the steps to solving for the}\\\\\huge\textbf{given equation?}[/tex]
[tex]\mathsf{-5(-3u - 3x + 4)}\\\\\mathsf{= -5(-3u) - 5(-3x) - 5(4)}\\\\\mathsf{= 15u + 15x - 20}[/tex]
[tex]\huge\textbf{What is the answer to the equation?}[/tex]
[tex]\huge\boxed{\frak{{= 15\mathsf{u} + 15\mathsf{x} - 20}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]last week you worked the following hours monday 5 1/2 wednesday 6 3/4 friday 4 1/2 how many hour did you work in all week
Answer:
Step-by-step explanation:
You worked 16 hours and 45 minutes
5 1/2 = 5 hours and 30 minutes
6 3/4 = 6 hours and 45 minutes
4 1/2 = 4 hours and 30 minutes
Add the hour and minutes.
5 hours 30 min + 4 hours 30 min = 10 hours
10 hours + 6 hours 45 min = 16 hours and 45 minutes
1. Assuming that the company sells all that it produces, what is the profit function?
2. What is the domain of P(x) ?
3. The company can choose to produce either 50 or 60 items. What is their profit for each case, and which level of production should they choose? Profit when producing 50 items? Profit when producing 60 items?
4. Can you explain, from our model, why the company makes less profit when producing 10 more units?
The profit function is R(x) = -0.5 (x - 50²) + 1150
The domain of P(x) is: 0 ≤ x ≤ 150 Profit when producing 50 items = 1150 Profit when producing 60 items = 1100 What is the profit function about?Note that:
1. Profit = Revenue - cost
P (x) = 0.5 ( x - 90²) + 4050 - 40x - 100
= 0.5 ( x² - 180 + 8100 + 4050 - 40x - 100
=0.5 x² - 50x - 100
=0.5( x² - 100x) - 100
= -0.5 (x - 50²) + 1150
2. Since the minimum unit is 50.
Then x ≤ 150
X = describe the item so it need to be a negative number
x ≥ 0Hence the domain of P(x) is: 0 ≤ x ≤ 150
3. Assume x = 50 , 60
R(50) = 1150 , R (60 ) = -0.5 (60-50)² + 1150 = 1100
4. R (x) = -0.5 (x-50)² + 1150 then 50 more unit is removed hence, Profit when producing 60 items = 1100
Therefore, The profit function is R(x) = -0.5 (x - 50²) + 1150
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4.) Determine the missing side of a rectangle with an area of 480 cm² and a length of 32 cm. Please show your work.
Answer:
w = 15 cm
Step-by-step explanation:
We want to find the width, as the area of a rectangle is length (l) * width (w).
Since we know the area and the length, we have 480 = 32w
Isolating w by dividing both sides by 32 gives us w = 15 cm
need help please...
Answer:
[tex]\sf 28 \frac{1}{3} \:ft=28.3\:ft\:(nearest\:tenth)[/tex]
Step-by-step explanation:
Given information:
It takes Mr Kelly 6 strides to walk 20 ft.It takes Mr Kelly 8.5 strides to walk the other side of his house.Let x be the unknown length of the other side of Mr Kelly's house.
To solve, set up a ratio with the given information and the defined unknown, then solve for x:
[tex]\textsf{20 ft : 6 strides = x ft : 8.5 strides}[/tex]
[tex]\implies \sf 20:6 = x:8.5[/tex]
[tex]\implies \sf \dfrac{20}{6}=\dfrac{x}{8.5}[/tex]
[tex]\implies \sf x=\dfrac{20 \cdot 8.5}{6}[/tex]
[tex]\implies \sf x=\dfrac{170}{6}[/tex]
[tex]\implies \sf x=28 \frac{1}{3} \:ft[/tex]
[tex]\implies \sf x=28.3\:ft\:(nearest\:tenth)[/tex]
Therefore, the length of the other side of Mr Kelly's house that takes him 8.5 strides to walk is 28.3 ft (nearest tenth).
Let that be x
20:x=6:8.520/x=6/8.520/x=12/1712x=17(20)12x=340x=340/12x=28.3ftSee a picture, please
Due to length restrictions, we kindly invite to check the explanation herein for further details of the hyperbola.
How to analyze an hyperbola
Herein we have an hyperbola whose axis of symmetry is parallel to the y-axis and the major semiaxis length is in the y-direction. By analytical geometry, we know that eccentricities of hyperbolae are greater than 1.
a) The formula for eccentricity is:
e = √(a² + b²) / a (1)
Where:
a - Major semiaxis lengthb - Minor semiaxis lengthIf we know that a = 4 and b = 3, then the eccentricity of the hyperbola is:
e = √(4² + 3²) / 4
e = 5 / 4
b) The coordinates of the two vertices of the hyperbola are:
V(x, y) = (h, k ± a) (2)
Where (h, k) are the coordinates of the center of the hyperbola.
V₁ (x, y) = (0, 4), V₂ (x, y) = (0, - 4)
The coordinates of the foci of the hyperbola are:
F(x, y) = (h, k ± c), where c = √(a² + b²). (3)
c = √(4² + 3²)
c = 5
F₁ (x, y) = (0, 5), F₂ (x, y) = (0, - 5)
The equations of the asymptotes of the hyperbola are:
y = ± (a / b) · x
y = ± (4 / 3) · x (4)
And the equations of the directrices of the hyperbola are:
y = k ± (2 · a - c)
y = 0 ± (8 - 5)
y = ± 3 (5)
The graph is presented in the image attached below.
c) The parametric equations for the hyperbola are the following formulae:
y = ± a · cosh t → y = ± 4 · cosh t (6)
x = b · sinh t → x = 3 · sinh t (7)
d) First, we determine the slopes of the two tangent lines by implicit differentiation:
m = (16 · x) / (9 · y)
m = (16 · 2.3) / [9 · (± 4.807)]
m = ± 0.851
Second, we find the intercept of each tangent line:
(x, y) = (2, 4.807)
b = 4.807 - 0.851 · 2
b = 3.105
y = 0.851 · x + 3.105 (8)
(x, y) = (2, - 4.807)
b = - 4.807 - (- 0.851) · 2
b = - 3.105
y = - 0.851 · x - 3.105 (9)
e) The definite integral of the arc length of the hyperbola is presented below:
[tex]s = \int\limits^{2}_{1} {\sqrt{\left(\frac{dx}{dt} \right)^{2}+\left(\frac{dy}{dt} \right)^{2}}} \, dt[/tex]
If we know that dx / dt = a² · sinh² t and dy / dt = b² · cosh² t, then the definite integral for the arc length is:
[tex]s = \int\limits^2_1 {\sqrt{a^{2}\cdot \sinh ^{2}t +b^{2}\cdot \cosh^{2}t}} \, dt[/tex] (10)
f) We apply the following substitutions on (1): x = r · cos θ, y = r · sin θ. Then, we have the polar form by algebraic handling:
r(θ) = (a · b) / (b² · sin² θ - a² · cos² θ) (11)
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In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be StartFraction pi Over 4 EndFraction times the volume of the pyramid that it fits inside. A cone is inside of a pyramid with a square base. The cone has a height of h and a radius r. The pyramid has a base edge length of 2 r. Which statement best describes where the StartFraction pi Over 4 EndFraction comes from in the formula derivation? It is the ratio of the area of the square to the area of the circle from a cross section. It is the ratio of the area of the circle to the area of the square from a cross section. It is the difference of the area of the square and the area of the circle from a cross section. It is the sum of the area of the square and the area of the circle from a cross section.
In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be D. the the sum of the area of the square and the area of the circle from a cross section.
How to illustrate the information?It should be noted that a volume simply means the amount of three dimensional space that's enclosed by a closed surface.
It is typically meaured on cubic units.
In this case, in the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be the the sum of the area of the square and the area of the circle from a cross section.
In conclusion, the correct option is D.
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Answer:
B. It is the ratio of the area of the circle to the area of the square from a cross section.
Step-by-step explanation:
1) The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections
according to the voter's income level based on an exit poll of voters conducted by a news agency. The income
levels 1-8 correspond to the following income classes:
1 = Under $15,000; 2 = $15-30,000; 3 = $30-50,000; 4 = $50-75,000; 5 = $75-100,000;
6 = $100-150,000; 7 = $150-200,000; 8 = $200,000 or more.
Use the election scatterplot to determine whether there is a correlation between percentage of vote and income
level at the 0.01 significance level with a null hypothesis of ρs = 0.
A) The test statistic is between the critical values, so we fail to reject the null hypothesis. There is no
evidence to support a claim of correlation between percentage of vote and income level.
B) The test statistic is not between the critical values, so we fail to reject the null hypothesis. There is no
evidence to support a claim of correlation between percentage of vote and income level.
C) The test statistic is between the critical values, so we reject the null hypothesis. There is sufficient
evidence to support a claim of correlation between percentage of vote and income level.
D) The test statistic is not between the critical values, so we reject the null hypothesis. There is sufficient
evidence to support a claim of correlation between percentage of vote and income level
Option C is correct. The test statistic is not between the critical values, so we reject the null hypothesis. There is sufficient evidence to support a claim of correlation between percentage of vote and income level.
How to find the correlationThe scatter plot is the plot that is used to show the correlation that is known to exist between the given data sets that is of interests. It helps by showing the existing relationship between the x values and the y values in the question.
When we look at the graph properly, if we are to rule a line we would find out that most of the data points in the equation fall under the line in the data set. This shows that there is high correlation between these two variables.
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What is the General form of the zero of a first degree polynomial? Explained answered please
Answer:
for normalian is a function of the form FX is equal to a and x n + a n - 1 x n - 1 + ax2 into X + A1 is equal to A2 is degree per normal highest power of X is
One serving of chicken has 148 grams of protein, which is 80% of the recommended daily amount.
Answer:
x = 185 grams
Step-by-step explanation:
let 100% of the recommended daily amount = x
148 = 80%x
148 = 0.8x
divide by 0.8 both sides
x = 185
Using a numberline, find both the intersection and the union of the following intervals:
(-∞,6) and (-∞,9)
By critically observing the number lines, the intersection of both (-∞, 6) and (-∞, 9) is (6, 9) because this is the point where they overlap. Also, the union of both (-∞, 6) and (-∞, 9) on a number line is (-∞, 9).
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
Given the following intervals:
First interval = (-∞, 6).Second interval = (-∞, 9).On a number line, the first interval would comprise the following numerical values -∞,..........-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6.
On a number line, the second interval would comprise the following numerical values -∞,..........-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
By critically observing the number lines, we can logically deduce that intersection of both (-∞, 6) and (-∞, 9) is (6, 9) because this is the point where they overlap.
Also, the union of both (-∞, 6) and (-∞, 9) on a number line is (-∞, 9).
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17 + x =31
i need help
Answer:
x= 14
Step-by-step explanation:
First (and only) we subtract 17 from both sides :
17 + x - 17 = 31 - 17
x = 31 - 17
x = 14
Hope this helped and have a good day
The answer is 14.
To solve this, only one step is required, which is : Subtract 17 from each side.
17 + x - 17 = 31 - 17x = 14