Whattttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt is y=3x-3

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

Answer: There are 75 books.

Price of each book = $4.

Step-by-step explanation:

Let x = Number of books in the box.

Then as per given,

Cost of x books = $300

Cost of one book = \(\$(\dfrac{300}x)\)

Books left after giving 15 of them = x-15

Selling price of (x-15) books=  $330

Selling price of one book = \(\$(\dfrac{330}{x-15})\)

Profit on each book= $1.50

Profit = selling price - cost price

\(\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]\)

\(\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75\)

Number of books cannot be negative.

So, there are 75 books.

Price of each book = \(\dfrac{300}{75}=\$4\)

So price of each book = $4.

The distance from the base of the telephone pole to Curtis is about 15 feet.

An equation is an expression that shows the relationship between two or more number and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let d represent the distance from the base of the telephone pole to Curtis, hence:

tan(51.4) = (24 - 5.2) / d

d = 15 feet

The distance from the base of the telephone pole to Curtis is about 15 feet.

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Answer:

\(\boxed{ \ x = 1 \ }\)

Step-by-step explanation:

hi,

-x+(-1)=3x+(-5)

<=>

-x-1=3x-5

<=>

3x+x = -1+5 = 4

<=>

4x=4

<=>

x=1

thanks

The value of x when solving the equation -x+ (-1) = 3x + (-5) is 1

Algebraic expression is a union of terms by the operations such as addition, subtraction, multiplication, division, etc

-x + (-1) = 3x + (-5)

The value of x can be found as follows:

-x + (-1) = 3x + (-5)

Let's open the parenthesis, Therefore,

-x - 1 = 3x - 5

-x - 3x = -5 + 1

-4x = -4

divide both sides by -4

-4x / -4 = -4 / -4

x = 1

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Answer: 15

Step-by-step explanation:

3(x+5)=2x

3x+15=2x

15=x

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

The equation would be y=2x+3 I am pretty sure

Step-by-step explanation:

This is because you take the slope which is 2 from the line y=-1/2x-6. To find the slope perpendicular to the line, you need to find the exact opposite of the slope: -1/2, and in this case, it would be 2.

(Ex: if it was -3/4, you would need to use a slope of 4/3 since it is the opposite)

Then you take that slope (2) and the point (0, 3) and put it into "y-y1=m(x-x1)"

y-y1=m(x-x1)

y-3=2(x-0)

-distribute the 2-

y-3=2x-0

-add 3 on both sides-

so equation would be y=2x+3

Not sure if this is all correct, but I hope it helps! :)

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Answer:

600 whiskers

Step-by-step explanation:

If you multiply 24 by 25 you get 600

Answer:

-7=b

Step-by-step explanation:

In the picture.

Bye!

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns. It may alsο include expοnents and/οr rοοts. Algebraic expressiοns are used tο represent quantities and relatiοnships between quantities in mathematical situatiοns, οften in the cοntext οf prοblem-sοlving.

The emplοyee's percent is 100% decreased by the emplοyer's percent.

100%−73%=27%

Based on the information you provided, Rubina Shaw's annual premium for the HMO plan is $11,473. Her employer pays 73 percent of this premium, so Rubina's portion of the premium would be:

27% × $11,473 = 0.27 × $11,473 = $3,097.71

The emplοyee's annual cοntributiοn is the prοduct οf the emplοyee's percent and the tοtal premium.

The emplοyee's mοnthly deductiοn is the emplοyee's annual cοntributiοn divided by the number οf mοnths in a year.

$3,097.71 ÷ 12

= $258.14

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

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Complete question:

Find the employee's total annual contribution and the employee's monthly deduction. Rubina Shaw, family plan. HMO annual premium is $11,473. Employer pays 73 percent.

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

Center: (3,-1)

Radius: 3

Step-by-step explanation:

Given:

\(\displaystyle \large{x^2+y^2-6x+2y+1=0}\)

First, we have to convert the following standard circle equation to this:

\(\displaystyle \large{(x-h)^2+(y-k)^2=r^2}\)

where h is horizontal shift, k is vertical shift and r is radius.

That means we have to complete the square for both x-term and y-term.

Rearrange the equation:

\(\displaystyle \large{x^2-6x+y^2+2y+1=0}\\\displaystyle \large{(x^2-6x)+(y^2+2y+1)=0}\)

For \(\displaystyle \large{y^2+2y+1}\), can be converted to perfect square as \(\displaystyle \large{(y+1)^2}\). Hence:

\(\displaystyle \large{(x^2-6x)+(y+1)^2=0}\)

For the x-terms, we have to find another value that can complete the square. We know that \(\displaystyle \large{(a\pm b)^2 = a^2 \pm 2ab + b^2}\).

For \(\displaystyle \large{x^2-6x}\) can be \(\displaystyle \large{x^2-2(x)(3)+3^2 \to x^2-6x+9}\). So our another value is 9.

\(\displaystyle \large{(x^2-6x+9-9)+(y+1)^2=0}\)

From above, we add -9 because the original expression isn’t actual perfect square.

Separate -9 out of \(\displaystyle \large{x^2-6x+9}\):

\(\displaystyle \large{(x^2-6x+9)-9+(y+1)^2=0}\)

Transport -9 to add another side:

\(\displaystyle \large{(x^2-6x+9)+(y+1)^2=9}\)

Complete the square:

\(\displaystyle \large{(x-3)^2+(y+1)^2=9}\)

Finally, we have our needed equation to find radius and center. The coordinate of center is defined as the point (h,k) from \(\displaystyle \large{(x-h)^2+(y-k)^2=r^2}\) and the radius is defined as r.

Hence, from the equation:

The coordinate of center is (3,-1) with radius equal to 3.

The height of the sand in the display container is 12 inches when the display container is right triangular prism.

What is right triangular prism ?

A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.

To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.

The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:

\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)

Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.

Then, the volume of the display container is:

\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)

where (1/2) is the area of the triangle base of the display container.

Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:

216 = 18H

H = 12 inches

Therefore, the height of the sand in the display container is 12 inches.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

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Answer

what r the options? a b c d?????

i wuld say it is 2.5

Step-by-step explanation:

Answer:

A. has a right angle

thats one

Answer:

I think it is A and D. Not 100% sure tho.

6/8 is an equivalent fraction to 3/4; 2/6 is equivalent to 1/3; 6/9 is equivalent to 2/3; 10/25 is equivalent to 2/5; 4/16 is equivalent to 1/4; the fraction of 1/3 is equivalent to 2/6; 8/16 is an equivalent fraction to 2/4.

A fraction can be referred to or considered as a divisional representation of a whole number or a percentage, usually represented as a bigger numerical. A fraction denotes the representation of a number in such a way that the meaning or the accuracy of the number is not disturbed, but is shown differently. The fractions equivalent to each other have been mentioned above.

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Answer:

a) generalization

Step-by-step explanation:

The statement is an example of a generalization. This is because the statement is assumming that all individuals who go to community college are poor. Therefore, this is why they cannot go to a four-year college, and instead go to a community college which is far cheaper. This assumption is being applied to all individuals who attend community college, without any further or more-specific information about each individual, therefore generalizing the entire situation.

Multiply the price by 0.09, then add that number to the price

47.25 x 0.09 = 4.25

47.25 + 4.25 = 51.50

Answer:

\(\frac{1}{15}\) liters

Step-by-step explanation:

\(\frac{1}{5}\) ÷ 3=

\(\frac{1}{5} *\frac{1}{3} =\\\\\frac{1}{15}\)

There is 1/15 liters of water in each cup.

Answer:

1/15 liters

Step-by-step explanation:

1/5 ÷ 3= 1/15

RULES of Dividing fractions

Keep switch flip

keep 1/5 the same. Flip the division sign to multiplication.

Flip 3/1 into 1/3.

\(\begin{array}{c |c|}{ \rule{2cm}{0cm}}&{ \rule{4cm}{0cm}} \\ { \boxed {\underline{\bf{Angles}}}}& { \boxed{ \underline{\bf{ Measure \: (degrees)}}}}\\ { \rule{2cm}{0cm}}&{ \rule{4cm}{0cm}}\\\tt \angle{ACE} & \tt115 \degree\\ \tt\angle{DCB} & \tt35 \degree\\ \tt\angle{ACB}& \tt30 \degree \\ { \rule{2cm}{0cm}}&{ \rule{4cm}{0cm}}\end{array}\)

\(\begin{array}{c |c|}{ \rule{2cm}{0cm}}&{ \rule{4cm}{0cm}} \\ { \boxed {\underline{\bf{Angles}}}}& { \boxed{ \underline{\bf{ Measure \: (degrees)}}}}\\ { \rule{2cm}{0cm}}&{ \rule{4cm}{0cm}}\\ \tt \angle{ACE} & \tt {?} \degree\\ \tt\angle{DCB} & \tt {?} \degree\\ \tt\angle{ACB}& \tt {?}\degree \\ { \rule{2cm}{0cm}}&{ \rule{4cm}{0cm}}\end{array}\)

\( \bf \: As \: \: {AB}\parallel{CD}\)

\( \bf \implies{ \angle{ACE} = \angle{BAC}} = 115 \degree\)

\( \bf \implies{ \angle{DCB} = \angle{ABC}} = 35 \degree\)

As \(\bf\angle{ABC} = \angle{A} + \angle{B} + \angle{C} = 180\degree\)

\( \bf \implies{ \angle{ACB} = 180 \degree \: - \angle{ABC} - \angle{BAC}} \\ \bf\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 180 \degree - 35 \degree - 115 \degree \\ \:\: = \bf30\degree \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\)

Answer:

40%

Step-by-step explanation:

11+24+16+9=60

24/60=2/5

.40

40%

Answer:

-7

Step-by-step explanation:

we want y = mx + b

3y = 2x + 7

-2x = -3y + 7

2x = 3y - 7

the y intercept is the standalone number, ergo -7

Answer:

\(\frac{7}{3}\)

Step-by-step explanation:

Change the equation in slope-intercept form and read out y-intercept.

Slope-Intercept Form

y = mx + b

m ... slope

b ... y-intercept

To change given equation to slope-intercept form we isolate y.

\(3y = 2x + 7\)

Divide both sides with 3.

\(y = \frac{2}{3}x + \frac{7}{3}\)

m = \(\frac{2}{3}\)

b = \(\frac{7}{3}\)

Answer:

the answer is C. 16/t

Step-by-step explanation:

Answer:

696 steps

Step-by-step explanation:

Answer:

In mathematics, a function is a rule that assigns one unique output value for each input value. A linear function is a function that has a constant rate of change between its input and output values. This means that if we plot the function on a graph, it will form a straight line.

For example, the function f(x) = 2x + 1 is a linear function because its graph is a straight line. As x increases by 1, the output of the function increases by 2.

On the other hand, a nonlinear function is a function that does not have a constant rate of change between its input and output values. This means that if we plot the function on a graph, it will not form a straight line.

For example, the function f(x) = x^2 is a nonlinear function because its graph is a curve. As x increases, the output of the function increases at an increasing rate.

In general, nonlinear functions can take many different forms and can have complex behaviors, whereas linear functions have a simple, predictable behavior.

Answer:

He spent $110.00 on both originally

Step-by-step explanation:

Add both prices too get 165

Then use the equation  =  

cross multiply to get 150x=16500

Divide 16500 by 150 to get x alone

x= 180