d^2a/db^2 +a = 4b+10sin(b)

By using the graph, a solution the given system of equations include the following:

x = 0, y = 3

x = 3, y = 6

In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.

In this scenario, we would use an online graphing calculator to plot the graph of the given system of equations and then determine the point of intersection.

y = x + 3

y = x² - 2x + 3

By critically observing the graph of the given system of equations, the solutions are as follows;

x = 0, y = 3.

x = 3, y = 6.

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Answer:

4.19

Step-by-step explanation:

just use the formula 2pir^2

Observing the given figure , It is a balanced balance which signifies both side should be equal, The answer is 2=-8-x and x=-10.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

There are three ways to solve systems of linear equations :

2=-8-x is the required balanced equation.

-x = 2 + 8

x= -10

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The equation of the line that is parallel to the line y = - 5x + c and passes through (-4, -1) will be y = - 5x - 21.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation of the line is given below.

y = - 5x + 6

The equation of the line that is parallel to the line y = - 5x + 6 is written as,

y = - 5x + c

The equation passes through (-4, -1), then we have

- 1 = - 5 (-4) + c

- 1 = 20 + c

- 21 = c

The equation of the line that is parallel to the line y = - 5x + c and passes through (-4, -1) will be y = - 5x - 21.

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Answer:

Lateral surface area:

Total surface area:

Answer:

Surface Area = 150.796 ft² (nearest thousandth)

Step-by-step explanation:

Surface area of a cylinder

[tex]\sf SA=2 \pi r^2+2 \pi rh[/tex]

where:

Given:

Substitute the given values into the formula and solve for SA:

[tex]\begin{aligned}\sf SA & = \sf 2 \pi r^2 + 2 \pi rh\\\implies \sf SA & = \sf 2 \pi (4)^2 + 2 p\i (4)(2)\\& = \sf 2 \pi (16) + 2 \pi (8)\\& = \sf 32 \pi + 16 \pi \\& = \sf 48 \pi \\& = \sf 150.7964474... \\& = \sf 150.796 \:ft^2\: (nearest\:thousandth)\end{aligned}[/tex]

Therefore, the surface area of the cylinder with height 2 ft and radius 4ft is 150.796 ft² (nearest thousandth).

Answer:

If we assume she runs around it once and since they tell us its a square: 27x4=108

Step-by-step explanation:

Answer:

B. 6/9 - 4/9

Step-by-step explanation:

Make sure each fraction has a common dominator

2/3 *3/3 = 6/9

4/9 = 4/9

6/9 - 4/9 = 2/9

Answer:

6/9 - 4/9, B

Step-by-step explanation:

Therefore , the solution of this is  the required system of equation is,

y=-x+6 and y=x+10.

A mathematical equation is a formula that links two statements by indicating their equivalence with the equal sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The relationship between two sentences on either side of a letter is expressed mathematically. There is frequently only one variable, which doubles as the symbol. say that 2x - 4 Equals 2.

Here,

(0,6) and the blue line pass through them (-2,8). You may figure out the equation for the blue line as,

=> y-6/x-0 =  8-6 /-2-0

=>y-6/x = 2/-2

=> y-6=-1(x)

y=-x+6

(-2, 8) and the red line pass through them (-3,7). The red line's equation can be calculated as,

y-8/x- (-2) = 8-7 /-2-(-3)

y-8 /x+2 = 1

y-8=x+2

y = x + 10

Thus, the required system of equations is,

y=-x+6 and y=x+10.

Therefore , the solution of this is  the required system of equations is,

y=-x+6 and y=x+10.

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Answer:

Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)

Step-by-step explanation:

Answer: (4.92, -0,91)

Step-by-step explanation:

This should be C on edge 2021

Answer:

C: (4.92, –0.91)

Step-by-step explanation:

Took the quiz

P(1.6,-2.9) are the coordinates of circumcentre of the triangle

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Let L(3,−6), M(5,−3), N(8,−6) be the vertices of the given △LMN.

Let P(x,y) be the circumcentre of △LMN. Then,

PL = PM = PN

Also, PL² = PM² = PN²

PL² = PM²

(x-3)² + (y-(-6))² = (x-5)² + (y-(-3))²

(x-3)² + (y+6)² = (x-5)² + (y+3)²

x²-6x+9 + y²+12y+36 = x²-10x+25 + y²+6y+9

4x + 6y = -11   ---- (1)

Also, PM² = PN²

(x-5)² + (y-(-3))² = (x-8)² + (y-(-6))²

(x-5)² + (y+3)² = (x-8)² + (y+6)²

x²-10x+25 + y²+6y+9 = x²-16x+64 + y²+12y+36

6x - 6y = 27   ---- (2)

Solve (1) and (2) simultaneously by elimination:

6 × (4x + 6x = -11)

4 × (6x - 6y = 27)

24x + 36y = -66

24x - 24y = 108

subtract:

         60y = -174

         y = -174/60

         y = -2.9

Put y = -2.9 into (1):

4x + 6x = -11

4x + 6(-2.9) = -11

4x - 17.4 = -11

4x = 6.4

x = 1.6

Thus, the coordinates of the circumcentre of △LMN are P(1.6, -2.9)

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Answer:

$100 + $375 + $41(4) = $516

$516 - $425 = $91

$91 / $5 = 18.2 cars

Therefore, the four student government officers must wash 18 cars in order to have enough money to pay for the trip.

Answer:

5/8            

I had it                                                                        

Answer: 40

Step-by-step explanation:

HI!

1) first you would get any algebra calculator

2) punch in the numbers

3) get the answer

        -YOUR WELCOME

Answer:  7/1000 (choice C)

This is because the 7 is in the thousandths decimal place. We put the 7 over 1000 to form the fraction 7/1000.

Answer:

If the walls are the standard 8 feet tall and the room is square, then:

the wall length and width is both 7 feet.

The area of the walls would be 4x7x8 = 224 ft² (also providing there are no doors or windows)

The domain of the function F(x) = 3 [tex]\sqrt{x-2}[/tex] is {x : x ≥ 2 and x is a real number}.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

F(x) = 3 [tex]\sqrt{x-2}[/tex]

Domain of this function is all the values of x for which the function is defined.

The expression [tex]\sqrt{x-2}[/tex] is defined only when the value of x - 2 is positive.

x - 2 > 0 ⇒ x > 2

So the function will be defined for all x > 2.

Hence the domain of the function is the set of all x such that x > 2.

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Answer: 300

Step-by-step explanation:

15x+350=4850

15x=4500

x=300

Answer:

the volume is 50x1.8x2

v=180cm³

therefore, density is mass/volume

Step-by-step explanation:

mass =density x volume

mass= 7.8 x 180cm³

mass= 1,404grams

The mass of the pipe to the nearest gram mass= 1,404grams.

We have given that,

A steel pipe 50 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If the density of the steel is 7.8 grams per cm^3

The volume is 50x1.8x2

v=180cm^3

Therefore, density is mass/volume

mass =density x volume

mass= 7.8 x 180cm^3

mass= 1,404grams

Therefore, The mass of the pipe to the nearest gram mass= 1,404grams.

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Answer:

The variable of interest is NUMBER OF CREDIT CARDS. it is a QUANTITATIVE variable.

u=4

u<4

use a t1-84 go to stat, edit, input the table set into L1, back to stat, tests, t-test, data, u=4, list:L1, u<, calculate, enter that will give you a t0=-.62

p-value is in the range P-value>0.10

The P-value is GREATER than level of significance. DO NOT REJECT the null hypothesis. there IS NOT sufficient evidence to claim that the mean number of credit cards is LESS THAN 4.

Step-by-step explanation:

a. The first question in the study asked for the variable of interest. The variable is number of credit per participants. This variable is quantitative.

The null hypothesis has H0: u = 4

Alternative hypothesis = H1: u < 4

To solve the for the p value and the test statistic, more data would be needed for this question.

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There are 1200 sets of 0.3 in the number 360

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here, 360 is to divided by 0.3 thus,

360/0.3 = 3600/3

             = 1200

Hence, There are 1200 sets of 0.3 in the number 360

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Answer:

(A) So since BE means cost = revenue, you just need to solve

6Q = 500,000 + 5Q

(B) they told you at the top what the 4-month cost is. That is still true, even if Q=0

(C) find revenue for 100,000. If less than cost, shut down.

Answer: 27 over 2,5

Step-by-step explanation:

The function f'(x) = x² - 2 - 3xcosx is decreasing on (- 4, - 3) and (- 1, 1).

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f'(x) = x² - 2 - 3xcosx.

We know a function f(x) is decreasing if f'(x) is < 0.

Therefore,

x² - 2 - 3xcosx < 0.

x² - 3xcosx < 2.

x(x - 3cosx) < 2.

Now, 3cosx can be [- 3, 3].

x(x - 3) < 2 and x(x + 3) < 2.

x < 2 Or x - 3 < 2 and x < 2 or x + 3 < 2.

x < 2 Or x < 5 and x < 2 or x < - 1.

But x should be in [- 4, 1], Therefore it is decreasing at (- 4, - 3) and (- 1, 1).

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Answer:

3/20 or (i think %15)

Step-by-step explanation

This is mostly a guess since I haven't done probability in a while. Good luck though.

Answer:

11

Step-by-step explanation:

If you were to write the Gross Domestic Product in standard notation, 171 would be followed by 11 zeros.

Standard notation is used in expressing large numbers in smaller numbers. In order to write a number in standard notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10 raised to the number of zeros.

For example:

The number : 2 x 10² is equivalent to 300

The number 3 x 10³ is equivalent to 300

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The total number of cookies that was made that day given that 55 which is 15% was burnt is 360.

We know that the number of burned cookies is 55, and that this represents 15% of the total production for the day.

We can use this information to set up a proportion to find the total number of cookies made that day.

Burned cookies / Total cookies = 15% / 100%

55 / X = 15/100

To find the total number of cookies made, we can cross-multiply and divide:

X = (55 * 100) / 15

X = 365

So, the bakery made a total of 365 cookies that day.

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the answer to this equation is 104.25