How much money is pictured below?
Answer:
The amount of money pictured below is one dollar
Answer:
Step-by-step explanation:
1 quarter= 25 cents
1 nickel = 5 cents
9 mickels total= 9x5= 45
1 quarter= 25 + 45= 70
and then you have one dollar
so 1 dollar and 70 cents
1.70$
The assets and liabilities of a landscaping business are listed below.
What is the net worth of the landscaping company?
$126.790
$187.205
$282.799
$470.004
The net worth of the landscaping company is given by:
$187.205.
How to calculate the net worth?The net worth of a company or of a person is given by the sum of all assets of the person subtracted by the sum of all debts of the person.
In the context of this problem, the assets, and it's values, of the company are given as follows:
Owned Inventory: $48,760.Cash: $126,790.Savings account: $32,436.Owned equipment: $20,700.Accounts receivable: $15,640.Property value: $225,678.Hence the sum of the assets is given by:
Assets = 48760 + 126790 + 32426 + 20700 + 15640 + 225678 = $469,994.
The debts of the company, with it's values, are given as follows:
Small Business Loan: $76,400.Building Mortgage: $189,429.Other debt: $16,970.Hence the sum of the debts is given by:
Debts = 76400 + 189429 + 16970 = $282,799.
Then the net worth of the company is:
Net worth = Assets - Debt = 469,994 - 282,799 = $187,205.
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Answer the questions based upon the table:
1- What is the independent variable? (hint- it is the input),
2- What is the dependent variable? (hint- it is the output)
3-
Is the relation a linear function? (hint- if it has a consistent difference between the
consecutive output values, then YES)
4- What is the slope of the function?
5- What is the domain?
6- What is the range?
7- What is the y-intercept? (hint- x = 0 at the y-intercept)
8- What is the x-intercept? (hint-y = 0 at the x-intercept)
The features of the relation are given as follows:
1. Independent variable: number of weeks.
2. Dependent variable: money saved.
3. Yes, the relationship is linear.
4. The slope is of 40.
5. The domain is: {0, 1, 2, 3, 4, 5, 6, 7}.
6. The range is: {50, 90, 130, 170, 210, 250, 290, 330}.
7. The y-intercept is of $50.
8. The table has no x-intercept.
Dependent and independent variablesThe output variable is a function of the input, hence the output is the dependent variable and the input is the independent variable.
The input and the output in this problem are given as follows:
Input: number of weeks -> Independent variable.Output: money saved -> Dependent variable.Linear relationIn a linear relation, the rate of change of the output relative to the input is constant, and is called slope.
In the context of this problem, the money saved has a constant increase of $40 each week, hence:
The relation is linear.The slope is of $40.Domain and rangeThe domain is the set containing the input values of the function, hence the number of weeks, as follows:
{0, 1, 2, 3, 4, 5, 6, 7}.
The range is the set containing the output values of the function, hence the money saved, as follows:
{50, 90, 130, 170, 210, 250, 290, 330}.
InterceptsThe y-intercept is the value of y when x = 0, hence, from the table, it is of:
y = 50.
The x-intercept is the value of x when y = 0. From the given table, y never assumes a value of 0, hence the function has no x-intercept.
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the length of a base of an isosceles triangle is xthe length of a leg is 2x - 2 the perimeter of the triangle is 56 find x
The perimeter of the triangle is computed adding the length of each side. That is,
P = (2x - 2) + (2x - 2) + x
P = (2x + 2x + x) + (-2 - 2)
P = 5x - 4
Substituting with P =56 and solving for x:
56 = 5x - 4
56 + 4 = 5x
60 = 5x
60/5 = x
12 = x
I need 23 and 24. The directions for them are solve for x. And assume that lines which appear to be diameters are actual diameters.
Explanation
Question 23
To get the value of x, let us get y as shown below
[tex]\begin{gathered} y+100=180^0(linear\text{ pairs}) \\ y=180-100=80^0 \end{gathered}[/tex]Next, we will make use of the fact tha y and (x+85 ) are vertical angles so that
[tex]\begin{gathered} y=x+85\text{ \lparen linear pairs\rparen} \\ where\text{ y=80} \\ 80=x+85 \\ x=80-85=-5 \\ x=-5 \end{gathered}[/tex]For question 23, x = -5
For question 24
The total angle in a circle is 360 degrees so that
[tex]-38x+4+65+42+95+40=360[/tex]solving for x
[tex]\begin{gathered} -38x+246=360 \\ -38x=360-246 \\ -38x=114 \\ x=\frac{114}{-38} \\ x=-3 \end{gathered}[/tex]For question 24, x =-3
You and a friend are riding your bikes to a restaurant that you think is east and that your friend thinks is north. You both leave from the same starting point, with you riding 16 miles per hour east and your friend riding 12 miles per hour north. After you travel 3 miles, at what rate is the distance between you changing?
The distance between you and your friend is changing at the rate of 28 miles per hour after you travel 3 miles.
According to situation,
You are going in east direction with a rate of 16miles per hour and your friend is going towards 12 miles per hour at the rate of 12 miles per hours.
Let us say you cover L distance in east direction and your friend covers B distance in north direction,
Time taken by you to cover 3miles,
Time = Distance L/speed
time = 3/16 hours.
Distance B covered by friend in 3/16 hours,
distance B = speed x time
Distance B = 3/16 x 12
Distance B = 9/4 miles.
As both are going perpendicular to each other,
The distance between you and your friend X can be calculated by the Pythagoras theorem,
X² = L² + B²
Differentiating with respect to time t,
2dX/dt = 2(L)dL/dt + 2(B)dB/dt
As we know,
dL/dt = 16 miles/hour and,
dB/dt = 12 miles/hour,
L = 3 miles,
B = 9/4 miles.
Putting all the values,
2dX/dt = 2(3)(16) + 2(9/4)(12)
dX/dt = 48 + 27
dX/dt = 75 miles per hour.
The distance between you and your friend will change at the rate of 75 miles/hour.
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a police car is located 40 feet to the side of a straight road. a red car is driving along the road in the direction of the police car and is 200 feet up the road from the location of the police car. the police radar reads that the distance between the police car and the red car is decreasing at a rate of 80 feet per second. how fast is the red car actually traveling along the road? the actual speed (along the road) of the red car is feet per second
The actual speed (along the road) of the red car is 81.6 feet per second
What is Pythagoras' theorem?
The square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides, according to Pythagoras' theorem.
Refer to the figure attached.
[tex]z^2=y^2+40^2[/tex]
[tex]z^2=y^2+1600[/tex]
Differentiate with respect to time 't'
[tex]D(z^2)=D(y^2)+D(1600)[/tex]
[tex]2zD(z)=2yD(y)+0[/tex]
[tex]zD(z)=yD(y)[/tex]
Now, y=200, [tex]z^2=200^2+40^2[/tex] , [tex]z^2=41600[/tex], [tex]z=203.96[/tex]
D(z)=80.
Substitute the known values into the equation below:
[tex]zD(z)=yD(y)[/tex]
(203.96)(80)=200 D(y)
On simplifying, D(y)=81.6 feet per second
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The actual speed (along the road) of the red car is 81.6 feet per second
What is Pythagoras' theorem?
The square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides, according to Pythagoras' theorem.
Refer to the figure attached.
[tex]z^2=y^2+40^2[/tex]
[tex]z^2=y^2+1600[/tex]
Differentiate with respect to time 't'
[tex]D(z^2)=D(y^2)+D(1600)[/tex]
[tex]2zD(z)=2yD(y)+0[/tex]
[tex]zD(z)=yD(y)[/tex]
Now, y=200, [tex]z^2=200^2+40^2, z^2=41600,z=203.96[/tex]
D(z)=80.
Substitute the known values into the equation below:
zD(z)=yD(y)
(203.96)(80)=200 D(y)
On simplifying, D(y)=81.6 feet per second
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David, Eva and Farooq share a sum of money.
David gets 1/6 of the money and Eva gets 1/4 of the money. David gets £2.50
Farooq gets the rest of the money.
Work out how much money Farooq gets
David gets £2.50 Farooq gets the rest of the money. Let the total sum of the money be x is £8.75.
What is Algebra?All mathematical applications require a basic understanding of algebra since it deals with manipulating variables as though they were numbers. To analyze algebraic structures like groups, rings, and fields, one uses the term "abstract algebra." Modern geometry presentations use linear algebra, a subject that works with linear equations and linear mappings, and it has a wide range of practical uses. Many mathematical disciplines fall under the umbrella of algebra, some of which have the word "algebra" in their name, such commutative algebra, and that do not, like Galois theory. It is also used to name specific types of algebraic structures, such as an algebra over a field, which is frequently referred to as an algebra. The word algebra is used to name both a mathematical field and some of its subfields.Therefore,
Let the total sum of the money be x,
David gets 1/6 of x = x/6 = £2.50
⇒ x/6 = £2.50
⇒ x = £2.50 x 6
⇒ x = £15
The total sum of the money = £15
Eva gets 1/4 of x = 1/4 x 15 = £3.75
Farooq gets the rest of the money = x - £3.75 - £2.50
= £15 - £3.75 - £2.50 = £8.75
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Represent each expression as a power of a (a does not equal 0)
The expansion of the given expressions of exponents are:
22. (b) a²· (a⁰)³ ÷ a¹¹ = a⁻⁹
22. (f) {(a³a⁴)÷ a⁻³} /{a·((a²a)³)⁴} = a⁻²⁷
What are product rule, quotient rule, power rule for exponents?Product rule for exponents state that product of two numbers with same base is given by adding their powers.
That is aⁿ × a ˣ = aⁿ⁺ˣ
Quotient rule for exponents state that the quotient of two numbers with same base is given by subtracting the exponent of denominator from numerator.
That is aⁿ ÷ a ˣ = aⁿ⁻ˣ
Power rule : (aⁿ)ˣ = aⁿˣ
22. (b) a²· (a⁰)³ ÷ a¹¹
⇒a²· (a⁰)³ ÷ a¹¹ = a².a⁰ ÷ a¹¹ (using power rule (a⁰)³ = a⁰)
⇒a²· (a⁰)³ ÷ a¹¹ = a²⁺⁰ ÷ a¹¹ ( using product rule a².a⁰= a²⁺⁰ )
⇒a²· (a⁰)³ ÷ a¹¹ = a²÷ a¹¹ = a²⁻¹¹ ( using quotient rule a²÷ a¹¹ = a²⁻¹¹)
⇒a²· (a⁰)³ ÷ a¹¹ = a⁻⁹
Therefore, expression a²· (a⁰)³ ÷ a¹¹ is a⁻⁹
- 22 .(f) {(a³a⁴)÷ a⁻³} /{a·((a²a)³)⁴}
= {(a³⁺⁴)÷ a⁻³} /{a·((a²⁺¹)³)⁴} ( using product rule, a³a⁴ = a³⁺⁴ and
a²a = a²⁺¹)
={a⁷÷ a⁻³} /{a·((a³)³)⁴}
= {(a⁷⁻⁽⁻³⁾} /{a·(a³⁽³⁾)⁴} ( using quotient rule a⁷÷ a⁻³ = a⁷⁻⁽⁻³⁾ and
using power rule (a³)³ = a³⁽³⁾)
= {a¹⁰} /{a·(a⁹)⁴}
= {a¹⁰} /{a·a³⁶} ( using power rule (a⁹)⁴ = a⁹⁽⁴⁾ =a³⁶)
= {a¹⁰} / {a¹⁺³⁶} ( using product rule a·a³⁶ = a¹⁺³⁶)
= { a¹⁰} / {a³⁷}
= a¹⁰ ⁻ ³⁷ ( using quotient rule a¹⁰ ÷ a³⁷ = a¹⁰ ⁻ ³⁷ = a⁻²⁷)
= a⁻²⁷
Therefore, expression {(a³a⁴)÷ a⁻³} /{a·((a²a)³)⁴} is a⁻²⁷.
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Answer:
the answer is a^-27
Step-by-step explanation:
How do you solve this?
a= 4
b= - 42
How the given expression is solved ?
[tex]2-\frac{x+2}{x-3} -\frac{x-6}{x+3} \\\\=\frac{2(x^{2} -9)-[(x+2)(x+3)]-[(x-6)(x-3)]}{x^{2} -9} \\\\=\frac{2x^{2} -18-x^{2} -5x-6-x^{2} +3x+6x-18}{x^{2} -9} \\\\=\frac{4x-42}{x^{2} -9}\\\\\text{This is of the form}, \frac{ax+b}{x^{2} -9}[/tex]
Thus, the value of integers a and b are :
a = 4 ; b =- 42
What are integers?
The number zero , a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The lowest group and ring of the natural numbers are formed by the integers. To distinguish them from the more generic algebraic integers, the integers in algebraic number theory are occasionally designated as rational integers. In actuality, rational integers are rational numbers that are also algebraic integers.To learn more about integers, refer:
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simplify the expression using the order of operations 4+(5-11) over 2^4 minus 14
You must show all your work.
Answer:
-1
Step-by-step explanation:
BEDMAS
[tex]\frac{4+(5-11)}{2^{4}-14 }\\\frac{4+(-6)}{16-14 }\\\frac{-2}{2}\\-1[/tex]
Hope that helps
12
3 4
5 6
78
In the figure, a || b, and both lines are intersected by transversal t. Complete the statements to prove that m²1 = m25.
a | b (given)
m21+ m23 = 180° (Linear Pair Theorem)
m25+ m26 = 180° (Linear Pair Theorem)
m21+ m23 = 25 + 26 (
m23= m26 (
m21= m25 (Subtraction Property of Equality)
The angle value of m is m∠7 = m∠3 = 125° in linear pair.
What linear pair?
When two lines meet at a single point, a pair of linear angles is created. If, following the junction of the two lines, the angles are next to one another, they are said to be linear. A linear pair always has an angle total of 180 degrees.m∠1 = 180° - 55° = 125°
m∠2 = 55° [ vertical angle ]
m∠3 = m∠1 = 125° [ vertical angle ]
m∠4 = 180° - m∠3 = 180 - 25 = 55°
m∠5 = m∠1 = 125°
m∠6 = m∠2 = 55°
m∠7 = m∠3 = 125°
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On Tuesday, the mailman delivers three checks for $5 and two bills for $2 each. If you had a starting balance of $25, what is the ending balance?
Answer:£6
Step-by-step explanation:
First, you need to do 5×3= 15 you times it by three, because there are three checks of £5
Then do 2×2=4 you times it by 2, because there are two checks of £2.
£15+£4=£19
Then Subtract £25-£19= £6
Hope this helps!
A machine factory makes two and one 4th pounds of nails in one and a half hours at what rate in
pounds per hour does the machine make nails
The machine make nails at a rate of 8th pounds per hour
How to determine the rate of making machine?From the question, the given parameters are:
Amount of pounds of nails = 4th poundsNumber of time = half an hourThe rate in pounds per hour the machine make nails is then calculated as
Rate of making nails = Amount of pounds of nail/Number of time
Substitute the known values in the above equation
So, we have
Rate of making nails = 4th pounds/0.5 hour
Evaluate
Rate of making nails = 8th pounds per hour
Hence, the rate of making nails is 8th pounds per hour
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Given f(x)=x^2+1 and g(x)=2x−1, find (f−g)(x)
x2−2x−1
x squared minus 2 x minus 1
x2+2x
x squared plus 2 x
x2−2x+1
x squared minus 2 x plus 1
x2−2x+2
The value of (f-g)x is x²-2x+2. Therefore, option C is the correct answer.
The given functions are f(x)=x²+1 and g(x)=2x-1.
What is function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
We need to find the value of (f-g)(x).
Now, f(x)-g(x)= (f-g)(x)
=x²+1 -(2x-1)
=x²+1-2x+1
=x²-2x+2
The value of (f-g)x is x²-2x+2. Therefore, option C is the correct answer.
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May you guys/girls please help me I have to submit this befoer mid night and I do not fail because my parents will get me , so may y'all please help me out!?
Answer:
Answer down below!
Step-by-step explanation:
Lets find a point on the graph that we can easily point out to start this problem
We can use the point (0,-3)
From there, we use rise/run to find our answer!
We go up 1 and over 1
Thus, our slope is 1!
Answer:
1
Step-by-step explanation:
slope = rise/run
choose any two points in the graph and count the left/right and up/down to get to that point it's hard to explain u can watch a yt video to completely understand
Joel digs a hole at a rate of 35 feet every 10 minutes. After digging for 30 minutes, Joel places a bush in the hole that fills exactly 12 feet of the hole.
Relative to ground level, what is the elevation of the hole after placing the bush in the hole?
The elevation of the hole after placing the bush in the hole is 93 feet
This is a problem from the unitary method. We can easily solve this problem by following a few steps.
Joel digs a hole at a rate of 35 feet every 10 minutes. So, we have to calculate the rate at 1 min.
Joel digs a hole at a rate of 35 feet every 10 minutes
Joel digs a hole at a rate of 35/10 feet every 1 minute
[ Work done for unit minute = Total work done / total time period ]
Now we have to calculate the total work done for 30 minutes.
For a unit minute work done is 35/10, then for 30 minutes the total work done is, (35/10 × 30 ) feet = 105 feet.
Joel places a bush in the hole that fills exactly 12 feet of the hole.
Therefore, the actual elevation is ( 105 feet - 12 feet ) = 93 feet.
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Math please its in the picture and show solution please
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
Explain about the simplify?No, to simplify is to reduce anything to its most basic form without figuring out what the letter 'x' or other letters are. Finding the meaning of the 'x' or other letters is known as solving.
Overview. Making something simpler refers to making it simpler to do or comprehend. Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. We accomplish this by dividing the denominator and numerator by the highest possible number.
It has the same precise meaning. The phrase "expand the brackets" means the same thing as "multiply out the brackets," with the added indication that when we do so, we are multiplying everything inside by everything outside the brackets.
The answer for a is x
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Please Help!
5|x + 9| < 10
Answer: -7, -11
Step-by-step explanation:
[tex]5|x+9| \leq 10\\\\|x+9| \leq 2\\\\-2 \leq x+9 \leq 2\\\\-11 \leq x \leq -7[/tex]
Answer:
x∈(−11,−7)
Step-by-step explanation:
A dance school offers classes in ballet folklórico. There is a one-time registration fee and a fee
for each class. The total cost of classes, y, is a linear function of the number of classes,
Three classes cost $36. Seven classes cost $68.
What is the rate of change and what does it represent?
The most appropriate choice for equation of line in slope intercept form will be given by-
Rate of change is 8 and rate of change represents slope of the line
What is equation of line in slope intercept form?
Equation of line in slope intercept form is written as y = mx +c
m is the slope of the line and c is the y intercept of the line.
The distance between the origin and the point where the line cuts the x axis is the x intercept
The distance between the origin and the point where the line cuts the y axis is the y intercept
Here,
Let the number of classes be x
Total cost of classes = y
Let the equation of line be y = mx + c
Three classes cost $36
Putting x = 3, y = 36
36 = 3x + c .............. (1)
Seven classes cost $68
Putting x = 7, y = 68
68 = 7x + c ............... (2)
Subtracting equation (2) from (1),
4x = 32
[tex]x = \frac{32}{4}[/tex]
x = 8
Putting the value of x in (1)
[tex]3 \times 8 + c = 36\\24 + c = 36\\c = 36 - 24\\c = 12[/tex]
Equation of line is y = 8x + 12
Now coefficient of x in y = mx + c is the slope of the line and that is the rate of change
so, rate of change is 8 and rate of change represents slope of the line.
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Answer:
$8 per classthe cost of each classStep-by-step explanation:
Given school costs of $36 for 3 classes and $68 for 7 classes, you want to know the rate of change and its meaning.
Rate of changeThe "rate of change" in this context is the change in cost for one additional class. It can be found by ...
rate of change = (change in classes) / (change in cost)
rate of change = ($68 -$36)/(7 classes -3 classes) = $32/(4 classes)
rate of change = $8/class
Interpretation
This "rate of change" is the additional cost for the addition of one class. It is the cost per class.
WILL GIVE BRAINLIEST
Find the value of each variable
The slope of the line through (x, 4) and (20, -2) is -1/4
PLS HELP!!!!!!
-4 is the numerical value of x which forms part of the coordinates of the points with a slope of -1/4.
What is the numerical value of x?Slope is simply expressed as change in y over the change in x.
It is expressed as;
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1( x, 4 )
x₁ = xy₁ = 4Point 2( 20, -2 )
x₂ = 20y₂ = -2Slope m = -1/4To determine the value of x, plug the slope m, x and y values into the slope formula.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
-1/4 = ( -2 - 4 )/( 20 - x )
-1/4 = ( -6 )/( 20 - x )
Cross multiply
-1( 20 - x ) = 4( -6 )
-20 + x = -24
x = -24 + 20
x = -4
Therefore, the numerical value of x is -4.
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suppose a 95% confidence interval was made to estimate the monthly cost of internet service instead of a 90% confidence interval. how would the interval change?
The 95% confidence interval will be more extensive than the 90% confidence interval
In measurements, the probability that a population boundary will fall between a bunch of values for a specific level of the time is alluded to as a certainty stretch. Investigators every now and again utilize certainty goes that incorporate 95% or the vast majority of expected perceptions. Thus, it could be presumed that there is a 95% probability that the genuine worth falls inside that reach assuming that a point gauge of 10.00 with a 95% certainty time frame - 10.50 is determined utilizing a factual model.
The degree of conviction or vulnerability in a testing cycle is estimated by certainty spans.
Also, they are utilized in relapse examination and speculation testing.
To decide measurable importance, analysts often join certainty spans with p-values.
95% or almost 100% certainty levels are most often utilized in their development.
what two numbers multiply to get 30 and add up to get 31
Answer:
1 and 30!
1 times 30 = 30
1 + 30 = 31
Step-by-step explanation:
;p
Answer:
30 and 1
Step-by-step explanation:
You add 1 to 30 to get your answer of 31.
30 + 1 = 31
You can also multiply 30 times 1 to get thirty.
30 * 1 = 30
Have a nice day!
What mass of titanium displaces 125.0 cm3, if the density of titanium is 4.51 g/cm3?
The titanium has a mass value of 563.75 grams
How to determine the mass of the titanium?From the question, the given parameters are
Density of titanium = 4.51 g/cm^3
Volume of benzene = 125.0 cm^3
The mass of the titanium is then calculated using
Density = Mass/Volume
Make Mass the subject of the formula
So, we have
Mass = Volume x Density
Substitute the known values in the above equation
So, we have the following equation
Mass =125.0 x 4.51
Evaluate the product in the equation
Mass = 563.75
Hence, the mass of the titanium is 563.75 grams
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If Jackson kicked a soccer ball 12 times and made the shots into the goal 77% of the time, how many shots did he make?
please help me complete the blank spots in the sentence!
The full sentence relating to the function in the tabulated data is;
"The x-intercept shows that if Ronald buys only apples, he can buy 12 pounds (lb). The y-intercept shows that if Ronald buys only eaches, he can buy 10 pounds (lbs). Hence the complete sentence."
What is a math function?It is to be noted that in mathematics, a function is an expression, rule, or law that describes the connection between one variable (the independent variable) and another variable (the dependent variable).
Tabular data has the following characteristics: They are made up of rows and columns. A table contains rows and columns and is used to organize everything tabular. Typically, sports statistics are provided in a tabular manner. A table is a type of graphic that arranges data into rows and columns. Tabular data is presented in a table format.
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please help me
solve for x. if needed, round your answer to 1 decimal place.
Check the picture below.
[tex]sin(31^o )=\cfrac{\stackrel{opposite}{11}}{\underset{hypotenuse}{x}}\implies x=\cfrac{11}{sin(31^o)}\implies {\Large \begin{array}{llll} x\approx 21.4 \end{array}}[/tex]
Make sure your calculator is in Degree mode.
Type the correct answer in each box.What values of a and b make this equation true?(4 + v=49) – 2(/(-4)2 + v=324) = a + bia =b =ReseNext
Problem
Solution
For this case we can do the following:
[tex](4+\sqrt[]{-49})-2(\sqrt[]{(-4)^2}+\sqrt[]{-324})\text{ }[/tex]We also know that :
[tex]\sqrt[]{-1}=i[/tex]Using this property we got:
[tex](4+7i)-2(4+18i)[/tex]Now we can distirbute the terms and we got:
4+7i -8 -36 i
And distributing the terms we got:
(7-36)i +(4-8)
-29 i -4
And then our solution would be:
a= -29
b= -4
Please help me with this question !!!
Answer:
composition about loyalty
Which of the following expressions are equivalent to ( 9 7 8 + 2 4 5 ) − 1 2 (9 8 7 +2 5 4 )− 2 1 left parenthesis, 9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, right parenthesis, minus, start fraction, 1, divided by, 2, end fraction? Choose 2 answers: Choose 2 answers: (Choice A) A 9 7 8 + ( 2 4 5 − 1 2 ) 9 8 7 +(2 5 4 − 2 1 )9, start fraction, 7, divided by, 8, end fraction, plus, left parenthesis, 2, start fraction, 4, divided by, 5, end fraction, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis (Choice B) B 9 7 8 + 2 4 5 + ( − 1 2 ) 9 8 7 +2 5 4 +(− 2 1 )9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis (Choice C) C 9 7 8 − ( − 2 4 5 ) − ( − 1 2 ) 9 8 7 −(−2 5 4 )−(− 2 1 )9, start fraction, 7, divided by, 8, end fraction, minus, left parenthesis, minus, 2, start fraction, 4, divided by, 5, end fraction, right parenthesis, minus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis (Choice D) D − ( − 9 7 8 + 2 4 5 ) − 1 2 −(−9 8 7 +2 5 4 )− 2 1 minus, left parenthesis, minus, 9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, right parenthesis, minus, start fraction, 1, divided by, 2, end fraction (Choice E) E 9 7 8 − ( − 2 4 5 − 1 2 ) 9 8 7 −(−2 5 4 − 2 1 )
The equivalent expressions to (9 7/8 + 2 4/5) - 1/2 are given as follows:
a) 9 7/8 + (2 4/5) - 1/2.
b) 9 7/8 + 2 4/5 + (-1/2).
What are equivalent expressions?Equivalent expressions are expressions that have the same result.
In this problem, the expression a is equivalent to the given expression, as the only difference is the order of the operations being applied, as the subtraction of 2 4/5 and -1/2 is applied before the addition of 9 7/8 + 2 4/5.
Expression b is also equivalent to the given expression, as an addition with the negative number in the fraction is made. However, the addition sign means that the sign inside the parenthesis is kept, which is negative, hence no change is made to the expression.
The remaining expressions involve changes to the signals of each term, hence they are not equivalent to the presented expressions.
Missing informationThe problem is given by the image at the end of the answer.
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