What substitution should be used to rewrite 6(x 5)2 5(x 5) – 4 = 0 as a quadratic equation?

Answer:

11

Step-by-step explanation:

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

By solving the equation we know that 15 players can be brought to the tournament.

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

So, we know that:

Softball players raised $1186.50 to attend a tournament.

They allocated $21.50 for meals per player and paid $842.50 for the bus rental.

We must apply the following calculation to determine the total number of players they are permitted to bring:

Formula: Total amount of money= fixed cost + unitary variable cost × number of players

1186.50 = 842.50 + 21.50 × number of players

1186.50 - 842.50 = 21.50 × number of players

344/21.50 = number of players

15 = Number of players

Therefore, by solving the equation we know that 15 players can be brought to the tournament.

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In order to find the number of empty bins, let's calculate how many packs will be made with the given material.

240 markers can be organized in 240/8 = 30 packs

320 crayons can be organized in 320/8 = 40 packs

336 colored pencils can be organized in 336/8 = 42 packs

In total we have 30 + 40 + 42 = 112 packs

Each bin can hold 8 packs, to in order to hold 112 packs, we need 112/8 = 14 bins.

We have 24 bins. Since 14 will be used, we will have 24 - 14 = 10 empty bins.

Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

Given:-

\( \: \)

\( \: \)

To find:-

\( \: \)

By using formula:-

\( \pink\bigstar \underline{{ \boxed{ \sf{ \color{lightgreen}Distance = \sqrt{( x_2 - x_1 )² + ( y_2 - y_1 )²}}}}}\)

\( \: \)

Solution:-

\( \sf{D = \sqrt{( x_2 - x_1 )² + ( y_2 - y_1 )²} }\)

\( \: \)

where ,

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \sf \: D = \sqrt{( 9 - 0 )² + ( -6 - 7)²} \)

\( \: \)

\( \sf \: D = \sqrt{ ( 9 )² + ( - 13 )²}\)

\( \: \)

\( \sf \:D = \sqrt{ 81 + 169} \)

\( \: \)

\( \underline{ \underline{ \sf{ \color{hotpink} \: D = \sqrt{{250}\: }}}}\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

The statement "the standard deviation is the square root of the variance" is TRUE.What is the standard deviation?The standard deviation is a statistical measure that calculates the amount of variability or dispersion in a set of data.

It quantifies the distribution's spread by measuring the average distance of each point from the mean. In other words, it's a measure of how much the values in a data set deviate from the mean.What is the variance?Variance is a statistical measure that quantifies the distribution's dispersion.

It is defined as the average of the squared distances of each data point from the mean of the data set. It provides information on how spread out the data is with regard to the mean.Standard Deviation vs VarianceThe variance and standard deviation are two closely related statistical measures.

The variance is computed by squaring the standard deviation. To calculate the standard deviation, take the square root of the variance. In simpler terms, the standard deviation is the square root of the variance.Therefore, the statement "the standard deviation is the square root of the variance" is TRUE.

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Answer:

19

Step-by-step explanation:

1 m = 100 cm        or      0.01 m = 1 cm

1900/100=19

Answer:

when you convert 1900 cm to meters, you'll get 19

1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

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What is the likelihood of rolling a 10 on a fair number cube numbered 1-6 is 0

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

The sample space in the question is 1,2,3,4,5,6

The Probability of rolling a 10 is impossible  since 10 is not a possible outcome on a number cube numbered 1 to 6.

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The correct steps are shown below

1) Write each equation in a form that is easy to graph, many students prefer slope-intercept form

2) Graph the equations as accurate as possible

3) Look at the graph and see where the lines intersect

4) Check the solution algebraically by substituting the answer into both equations

The option is 1234

Answer:

y=|x-2|

Step-by-step explanation:

Answer:

I am pretty sure the answer is y=(x+2)

Step-by-step explanation:

The line is going upward so the answer has to have a + in it.  The y-intercept is 2.

Hope this helps! :)

The sides indicated in the triangles are 1) c²=25   2) BC = 45  3) BC = 33

The cosine rule, also known as the law of cosines, is a trigonometric formula that relates the lengths of the sides of a triangle to the cosine of one of its angles.  It can be used to calculate the missing sides of a triangle or to find a missing angle.

The formula is given as a² = b² + c² – 2bc cos x, where a, b, and c are the lengths of the sides of a triangle ABC, and x, y, and z are the angles between the sides of the triangle

1) c² = 29²+13²-2*29*13cos41

c² = 841 + 169 -2*13*19*0.7547

c²= 1010-372.8218

c²= 637.1782

c √637.1782

c =25

2)  bc² =21²+30²-2*21*30cos123

BC = 441+900 +686

BC = √2027

BC = 45

3)

c² = 17²+28²-2*17*28cos91

BC²= 289+784 -+16.6

BC² = 1089.6

BC  = √1089.6

BC = 33

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The law of cosines and the law of sines are used in finding the indicated measurements, which values are presented as follows;

The law of cosines states that, where the lengths of two sides of a triangle and the included angle are b, c, and A, then, the square of the third side can be found using the formula;

1) The law of cosines indicates that we get;

AB = √(29² + 13² - 2×29×13×cos(41°)) ≈ 21

2) The law of cosines indicates that we get;

BC = √(30² + 21² - 2×30×21×cos(123°)) ≈ 45

3) The law of cosines indicates that we get;

BC = √(28² + 17² - 2×28×17×cos(91°)) ≈ 33

4) The law of cosines indicates that we get;

BC = √(14² + 9² - 2×14×9×cos(17°)) ≈ 6

5) The law of cosines indicates that we get;

AB = √(13² + 12² - 2×13×12×cos(134°)) ≈ 23

6) The law of cosines indicates that we get;

AB = √(20² + 22² - 2×20×22×cos(95°)) ≈ 31

7) The law of cosines indicates that we get;

14² = 9² + 6² - 2×9×6×cos(A)

2×9×6×cos(A) = 9² + 6² - 14²

cos(A) = (9² + 6² - 14²)/(2×9×6)

m∠A = arccos((9² + 6² - 14²)/(2×9×6)) ≈ 137°

8) The law of cosines indicates that we get;

BC = √(17² + 22² - 2×17×22×cos(143°)) = √(773 - 748·cos(143°))

The law of sines indicates that we get;

sin(B)/17 = sin(143°)/(√(773 - 748·cos(143°)))

sin(B) = 17 × sin(143°)/(√(773 - 748·cos(143°)))

m∠B = arcsin(17 × sin(143°)/(√(773 - 748·cos(143°)))) ≈ 16°

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Answer:yum be

Step-by-step explanation:

Answer: strong winds will blow from area A to area B

Step-by-step explanation:I hope this helps

Answer:

it's known as a face

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Answer:

a. 44 cm b. 126 cm

Step-by-step explanation:

a. it is semi circle

perimeter is πd

22/7*14

44 cm

b. it is equilateral triangle

so perimeter is side* 3

42 *3 = 126cm

Answer:

Step-by-step explanation:

(a)

The figure perimeter it is half of a circle with a diameter d₁=14 cm and two halfs of circle with a diameter d₂=14 cm÷2=7 cm.

The length of a circle is  L₀ = πd, where d is the diameter.

Therefore:

\(\bold{L=\frac12d_1+2\cdot\frac12d_2 = \frac12\cdot14\pi+\frac12\cdot2\cdot7\pi=14\pi\,cm\approx44\,cm}\)

(b)

A full circle it is 360°, so the circle sector of 60° is  \(\frac{60^o}{360^o}=\frac16\)  of the circle. So the arc of 60° is ¹/₆ of the full circle length.

The figure is an equilateral triangle and two 60°-sectors of circles with radiuses of length of the triangle's side (r=42 cm).

Its perimetr it's two radiuses, two arcs of 60° and one side of the triangle.

The length of a circle is  L₀ = 2πr, where r is a radius.

Therefore:

\(\bold{L=2r+2\cdot\frac16\cdot 2\pi r+r=3r+\frac23\pi r}\\\\\bold{L=3\cdot42+\frac23\pi\cdot42=(126+28\pi)\,cm\approx214\,cm}\)

The slope-intercept equation for the given line is y = 2x + 3

From the question, we are to determine the equation for the line

The slope-intercept form of the equation of a straight line is

y = mx + b

Where m is the slope

and b is the y-intercept

First, we will determine the slope

Slope of the line = (3 - 0) / (1.5 - 0)

Slope of the line = 3/1.5

Slope of the line = 2

∴ m = 2

On the graph, we can observe that the y-intercept is 3

∴ b = 3

Thus,

The equation becomes

y = 2x + 3

Hence, the slope-intercept equation for the given line is y = 2x + 3

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Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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Answer:

-3/7

Step-by-step explanation:

find two lattice points

the ones I found are (-3, 3) and (4, 0)

use the slope formula

(0-3)/(4-(-3)) = -3/7

The tax on the belt buckle is $1.56

What is Rate?

In general terms, a rate is a measure of the relationship between two quantities that are measured in different units. A rate expresses how much of one thing there is per unit of another thing. For example, miles per hour is a rate that expresses how many miles are traveled in one hour.

To calculate the tax on the belt buckle, we need to multiply the price of the belt buckle by the sales tax rate:

Tax = Price x Tax rate

In this case, the price of the belt buckle is $25 and the sales tax rate is 6.25%. To convert the tax rate from a percentage to a decimal, we need to divide it by 100:

Tax rate = 6.25% ÷ 100 = 0.0625

Now we can calculate the tax on the belt buckle:

Tax = Price x Tax rate

= $25 x 0.0625

= $1.56

Therefore, the tax on the belt buckle is $1.56. The total cost of the belt buckle including tax would be $25 + $1.56 = $26.56.

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The expression of BC in terms of p and θ is BC = p / tan θ.

By the law of the sines, we conclude that the length of QR is QR = x · (sin 2α / sin α).

By the law of the cosine we find that the triangle has the following relationship: QR² = 2 · x² · (1 + cos 2α).

In this question we must derive expressions for the missing lengths of triangles in terms of known sides and angles. Trigonometric functions and laws are powerful resources to derive the expressions. The first triangle is a right triangle and the length of BC can be found by definition of the tangent function:

tan θ = AB / BC

BC = AB / tan θ

BC = p / tan θ

The expression of BC in terms of p and θ is BC = p / tan θ.

The second triangle is an isosceles triangle, where PQ = PR. By using triangle properties, the measure of the angle P is equal to 180° - 2α and we obtain the following expression by the law of the sine:

PQ / sin α = QR / sin (180° - 2α)

Then,

sin (180° - 2α) = sin 180° · cos 2α - cos 180° · sin 2α

sin (180° - 2α) = sin 2α

x / sin α = QR / sin 2α

QR = x · (sin 2α / sin α)

By the law of the sines, we conclude that the length of QR is QR = x · (sin 2α / sin α).

The third case represents another isosceles triangle (PQ = QR), then the measure of the angle P is 180° - 2α. By the law of the cosine we find that:

QR² = QP² + PR² - 2 · QP · PR · cos P

QR² = 2 · x² - 2 · x² · cos (180° - 2α)

Then,

cos (180° - 2α) = cos 180° · cos 2α + sin 180° · sin 2α

cos (180° - 2α) = - cos 2α

QR² = 2 · x² · (1 + cos 2α)

By the law of the cosine we find that the triangle has the following relationship: QR² = 2 · x² · (1 + cos 2α).

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Answer:

Step-by-step explanation:

Answer:

g=44°

k=70°

h= 136°

m= 110°

Answer:

h= 136°

g=44°

m= 110°

k=70°  

Step-by-step explanation:

Have a nice day!

Answer: False

Step-by-step explanation: This is false because perpendicular mean that 2 lines cross to make a 90 degree angle. If a cross product is 0 the lines never touch meaning its parallel.

Answer:

-2

Step-by-step explanation:

Cube root of eight is 2

y= -2

Answer: A on EDG 2020

Step-by-step explanation:

Answer:

A

Just took the test

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

To solve this and show your work, you have to start of with the equation (3x - 6) = 30.

You then have to add 6 to both sides like this:

\((3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 \)

So then the 6 is cancelled out, and you are left with

3x = 36.

Now you just have to divide both sides by 3 like this:

\( \frac{3x}{3} = \frac{36}{3} \)

Which cancels 3 out, and you are left with

x = 12.