Select the correct answer. Simplify the expression. What classification describes the resulting polynomial? (3x2 − 11x − 4) − (2x2 − x − 6) A. quadratic trinomial B. linear binomial C. quadratic binomial D. linear monomial

Answer:

Hey there!

We must use what we are given, so even though it looks like there might be four isosceles triangles, we are only given CA=CE, so that only allows us to conclude mathematically that there is only 1 isosceles triangle.

Hope this helps :)

Answer:

7√2 cm

Step-by-step explanation:

Aquí, estamos interesados ​​en encontrar la longitud del lado de un cuadrado que tiene una longitud diagonal de 14 cm.

Una diagonal es una línea que se extiende desde un borde del cuadrado hasta el otro borde del cuadrado internamente.

Ahora, una diagonal de un cuadrado junto con dos lados de un cuadrado forman un triángulo rectángulo isósceles, siendo la diagonal la hipotenusa de este triángulo rectángulo.

Sabemos que los lados de un cuadrado tienen la misma longitud y, por lo tanto, llamemos a este lado desconocido x cm.

Matemáticamente, según el teorema de Pitágoras, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los otros dos lados.

Por lo tanto, tenemos;

14 ^ 2 = x ^ 2 + x ^ 2

196 = 2x ^ 2

dividir ambos lados por 2

98 = x ^ 2 x = √98

x = √ (49 * 2)

x = 7√2 cm

Por lo tanto, la longitud del lado del cuadrado es de 7√2 cm

Answer:

y = | x | + 1

Step-by-step explanation:

Given y then y + c represents a vertical translation of y

•  If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 1 unit up, thus

y = | x | + 1

Answer:

β = 22.5°

Step-by-step explanation:

In a triangle, the sum of interior angles must add up to 180°.

Since the angle marked with corners is equal to 90°, we can write an equation to solve for β.

3β + β + 90° = 180°

4β = 180° - 90°

4β = 90°

β = 90° / 4

β = 22.5°

Answer:

T is equal to R

Hope this helps.....

Answer:

A) it increases the mean value of the prizes.

Step-by-step explanation:

The median is resistant to large outliers, so it does not change if there is an especially large or small value. So, we can eliminate choices C and D.

I am actually not sure whether the data in the table count $100 as a large prize or a small one, but I am assuming it is a large prize. So, an extremely large prize would increase the mean value of the prizes.

Hope this helps!

The $100 gift card affect the measure of center of the data by increases the mean value of the prizes.

Option A is the correct answer.

It is the middles value of the given set of numbers after arranging the given set of numbers in an order.

We have,

The $100 gift card has a much larger value compared to the other prizes, and it is only given to one person.

Therefore, adding the $100 gift card to the prizes will significantly increase the total value of the prizes, which will affect the measures of center of the data.

The mean and median are two common measures of center in statistics. The mean is the sum of all the values divided by the number of values, while the median is the middle value when the data is arranged in order.

Adding the $100 gift card will increase the mean value of the prizes, but it will not affect the median value, since the median only depends on the order of the data, not the values themselves.

Therefore,

It increases the mean value of the prizes.

Learn more about median here:

https://brainly.com/question/28060453

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Answer:

She saved $48; She had $72 remaining

Step-by-step explanation: She started off with $120. 20% of $120= $24, 25% of $96= $24. $24 + $24= $48.  $120(total) - $48(total money saved) = $72(money left).

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The amount of money left is $72

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount = $120

Amount spend on food.

= 20% of 120

= 20/100 x 120

= $24

Amount remaining.

= 120 - 24

= $96

Amount spend on clothes.

= 25% of 96

= 1/4 x 96

= $24

Amount remaining.

= 96 - 24

= $72

Thus,

The amount of money left is $72

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ5

Answer:

115.96

Step-by-step explanation:

=> [tex]9393 / 81 * 1[/tex]

By BODMAS, Dividing first

=> 115.96 * 1

Now, Multiplying

=> 115.96

Answer:

115.962963

Step-by-step explanation:

81 x 1 = 81

9393 ÷ 81 = 115.96

Triangles are congruent

Step-by-step explanation:

Law of Side, Side, Angle

Thier base are same (PR).

Thier 1 side is equal to 2 inch (PS = RQ).

Thier 1 angle is equal (/_ PRQ = /_ RPS)

So, Its prove that both triangles are congruent.

Answer:

[tex] C = 28.9 [/tex]

Step-by-step explanation:

Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.

Apply the trigonometric ratio formula to find m < C.

Adjacent side = 7

Hypotenuse = 8

Trigonometric ratio formula to apply would be:

[tex] cos(C) = \frac{7}{8} [/tex]

[tex] cos(C) = 0.875 [/tex]

[tex] C = cos^{-1}(0.875) [/tex]

[tex] C = 28.9 [/tex]

(To nearest tenth)

Answer:

The initial height of the candle is H = 15cm

The rate at which the candle burns is 2.5 cm per hour

Then after one hour, the height of the candle is:

h = 15cm - 2.5cm = 12.5cm

after two hours is:

h = 15cm - 2*2.5cm = 10cm

then, after t hours, the height of the candle is:

h = 15cm - (2.5cm/h)*t

now, the domain of h (or the range of the function) is:

h ∈ [0cm, 15cm]

when t = 0, h(0h) = 15cm

and the maximum value of t will be such that the candle is totally consumed:

h(t) = 0 = 15 - 2.5*t

t = 15/2.5 = 6

Then the domain of the function is:

t ∈ [0h, 6h]

Answer:

c.the area method

Step-by-step explanation:

A scatterplot is a plotting of data that represents the relationship between the two variables that should be numerical in nature. The data points i.e to be shown in a horizontal and vertical axis represent that how much one variable affected by another variable.

In the area method, we plot a data and then draw a shape which can be in oval but it does not include the outliers but the other methods like oval method, divide center method, regression calculator includes the outliers

Therefore the option c is correct

Answer:

c.the area method

Step-by-step explanation:

c.the area method c.the area method c.the area method c.the area methodc.the area methodc.the area methodc.the area method c.the area method c.the area method c.the area method   c.the area method  c.the area method

Answer:

clay sphere gives more clay for less money

Step-by-step explanation:

Volume of cone=1/3πr^2h

=1/3*3.14*(9^2)*12

=1/3*3.14*81*12

=3,052.08/3

=1017.36 inches^3

Volume of a cyclinder=πr^2h

=3.14*(9^2)*12

=3.14*81*12

=3,052.08 inches^3

Volume of a sphere=4/3πr^3

=4/3*3.14*(9^3)

=4/3*3.14*(9^3)

=4/3*3.14*729

=9,156.24 / 3

=3,052.08 inches^3

Clay cone=$12

Clay cyclinder=$30

Clay sphere=$28

Which is the best to buy

Comparing volume

Volume of sphere=3,052.08 inches^3

Volume of cyclinder=3,052.08 inches^3

Volume of cone=1017.36 inches^3

Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone

Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.

Therefore, clay sphere gives more clay for less money

Answer:

Nathan weighs 12 more pounds than Marty.

Step-by-step explanation:

If Marty weighs 64 pounds and Nathan weighs 76 pounds, we can subtract the weight of Marty from Nathan to get our answer.

[tex]76-64=12[/tex]

In case Nathan was actually 476 pounds, the answer would be 412.

THIS IS THE COMPLETE QUESTION BELOW;

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.

Shift f(x) = 6x five units to the right and seven units down.

Shift f(x) = 6x seven units to the right and five units up.

Shift f(x) = 6x seven units to the left and five units down.

Answer:

Shift f(x)=6x five units to the left and seven units down.

Step-by-step explanation:

We are told to translate the function below

f(x) = 6x to g(x) = 6x – 5 – 7

Which means the process to translate f(x) into g(x) is required.

According to the translation rule

f(x)-------->f(x)+a

If a<0 it shift to downward

If a>0 it shift to upward

Then we have

(X,y) ----->((x - 5, y)

There is a shift by x coordinates towards left by 5 units

then we would have the function as

f'(x) = 6(x-5)

Following the translation rule there is a shift by the function by 7 units downward direction then we have

(x,y) ----->(x,y -7)

Then we have g(x) = 6x – 5 – 7 as our translation product.

Therefore, shift f(x)=6x five units to the left and seven units down.

Answer: sample space

Step-by-step explanation: In determining the probability of a certain event occurring or obtaining a particular outcome from a set of different possible outcomes, such as in the toss of coin(s), rolling of fair die(s), the sample space comes in very handy as it provides a simple breakdown and segmentation of all possible events or outcomes such that in Calculating the probability of occurrence of a certain event, the event(s) is/are located in the sample space and the ratio taken over the total number of events.

Answer: A. 51%

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex] , where r = radius of the circle.

In the figure below, we have the complete question.

According to that,

Radius of outer circle = 7ft

Radius of inner circle = 5ft

The probability that the thumbtack will be placed on the inner circle

[tex]=\dfrac{\text{Area of inner circle}}{\text{Area of outer circle}}\\\\=\dfrac{\pi (5)^2}{\pi (7)^2}\\\\=\dfrac{25}{49}[/tex][π is canceled from numerator and denominator

in percent, [tex]\dfrac{25}{49}\times100=51.0204081633\%\approx51\%[/tex]

So, the probability that the thumbtack will be placed on the inner circle = 51%

Hence, the correct option is A. 51%.

Answer:

Hamish's earning = $20

Harry's earning = $26

Step-by-step explanation:

Given the following :

Let Harry's earning per hour = x

Let Hamish earning per hour = y

Harry earns a dollar more than more than 5/4 the amount hamish earns per hour;

Therefore,

x = 5/4y + 1

x - 5/4y = 1 - - - - (1)

the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour

x = 7/5y - 2 - - - - (2)

Substituting (2) into (1)

7/5y - 2 - 5/4y = 1

7/5y - 5/4y = 1 + 2

7/5y - 5/4y = 3

Taking the L. C. M

(28y - 25y) / 20 = 3

28y - 25y = 60

3y = 60

y = 20

Substitute y = 20 into (1)

x - 5/4(20) = 1

x - 100/4 = 1

x - 25 = 1

x = 1 + 25

x = 26

y = Hamish's earning = $20

x = Harry's earning = $26

Answer:

YES, the number of people who visited the park can be represented as a function of the daily average temperature.

Step-by-step explanation:

From the table of values given which defines the number of visitors to the park as a function of daily temperature, the temperature is the domain values (independent variable), while the number of visitors is the range values (dependent variable).

For any relation to be considered a function, as a principle, any given domain value must have exactly one range value. In other words, there must not be two different range values assign to one domain value.

This means, for the relation between temperature and number of visitors to be considered a function, it must not have a domain value that is mapped to more than one range value.

Examining the table given, if we map each domain value to the range value, we will find out that there are only 1 exact range value for a domain value.

Therefore, we can say: YES, the number of people who visited the park can be represented as a function of the daily average temperature.

Answer:

yes

Step-by-step explanation:

Answer:

The error was made when they factored out the i, so this would be the distributive property they did not do correctly.

Factoring out the i was never needed.

Answer:

She shouldn't have factored out the i.

Step-by-step explanation:

In both parentheses, only one of the two additives had an "i" in it, so only one of them could have i factored out of it. If she wanted to factor out the i, the equation would look like this:

(4/i + 5)i + (-3/i + 7)i.

If anything, she should have done:

5i+7i + 4-3=

12i + 1.

Factoring out the i was unnecessary.

Hope this helps!

Answer:

6 seconds

Step-by-step explanation:

We have to find the t-intercepts of the function. To do so, let's set h(t) = 0.

0 = 96t - 16t²

0 = 16t(6 - t)  -- Factor 96t - 16t²

16t = 0 or 6 - t = 0  -- Use Zero Product Property

t = 0 or t = 6 -- Solve for t

We're not looking for the solution t = 0 because that represents when the debris was launched. Therefore, the answer is 6 seconds.

Answer: 6 seconds

Step-by-step explanation: factor

Answer:

The second and fourth statements are correct.

Step-by-step explanation:

We are given the function for the graph of:

[tex]y=-(x-0.5)^2+9[/tex]

Note that this is a quadratic function in its vertex form, given by:

[tex]y=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Rewriting our given equation yields:
[tex]\displaystyle y = (-1)(x-(0.5))^2 + (9)[/tex]

Therefore, a = -1, h = 0.5, and k = 9.

Therefore, the vertex of the graph is at (0.5 ,9).

Because the leading coefficient is negative, the parabola opens downwards.

Therefore, the parabola has a maximum value.

In conclusion, the second and fourth statements are correct.

1. the vertex is (0.5, 9)

2. it has a maximum.

Answer:

A

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides )

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 → A

Answer:

Both have the same period which is 2π

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The open dot means its not equal to X and the placement is -14.5

Answer:

Volume of cone = 130 cm³

Step-by-step explanation:

Given:

Volume of cylinder = 390 cm³

dimensions of cylinder = dimensions of cone

Find:

Volume of cone

Computation:

Volume of cylinder = πr²h

390 = πr²h

124.090909 = r²h

So,

Volume of cone = (1/3)πr²h

Volume of cone = (1/3)(22/7)r²h...........[124.090909 = r²h]

Volume of cone = (1/3)(22/7)(124.090909)

Volume of cone = 130 cm³

Answer:

The answer is 14

Step-by-step explanation:

Point A to Point B is 3

Point C to Point D is 3

Point B to Point c is 4

Point D to point A is 4.

Add all those together to get 14

Answer:

the answer is 14

hope you like this

keep rocking

stay at home stay safe

Answer:

Step-by-step explanation:

Given the surdic expression [tex]\frac{2}{3\sqrt{5} + 2\sqrt{11}}\\[/tex], to rationalize the expression, we will have to multiply the numerator and denominator of the expression by the conjugate of the denominator as shown;

[tex]= \frac{2}{3\sqrt{5} + 2\sqrt{11}} * \frac{3\sqrt{5} - 2\sqrt{11}}{3\sqrt{5} - 2\sqrt{11}}\\\\= \frac{2(3\sqrt{5} - 2\sqrt{11})}{(3\sqrt{5} + 2\sqrt{11})(3\sqrt{5} - 2\sqrt{11})}\\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{9\sqrt{25}+6\sqrt{55}- 6\sqrt{55}-4\sqrt{121} } \\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{9(5)-4(11) }\\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{45-44 }\\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{1}[/tex]

Comparing the result [tex]\frac{6\sqrt{5} - 4\sqrt{11} }{1}[/tex] with the expression [tex]\frac{A\sqrt{B} + C\sqrt{D}}{E}[/tex], it can be seen that A = 6, B = 5, C = -4, D = 11 and E = 1

A+B+C+D+E = 6+5+(-4)+11+1

A+B+C+D+E = 11-4+12

A+B+C+D+E = 19

Hence the value of A+B+C+D+E is 19

Answer:

4096/15,625

Step-by-step explanation:

The reason is because the power is distributed individually within the fraction. Since the fraction is already fully simplified, 4096/15625 multiplied by itself is also simplified.

Thus the answer is 4096/15,625 = (4^6)/(5^6)

Answer:

Option C is the correct option

Step-by-step explanation:

[tex] \frac{ {y}^{2} + 7y + 12}{ {y}^{2} - 2y - 15 } [/tex]

Write 7y as a sum

[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} - 2y - 15} [/tex]

Write -2y as a difference

[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} + 3y - 5y - 15} [/tex]

Factor out y from the expression

[tex] \frac{y(y + 4) + 3y + 12}{ {y}^{2} + 3y - 5y - 15 } [/tex]

Factor out 3 from the expression

[tex] \frac{y(y + 4) + 3(y + 4)}{ {y}^{2} + 3y - 5y - 15 } [/tex]

factor out y from the expression

[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5y - 15} [/tex]

Factor out -5 from the expression

[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5( y + 3)} [/tex]

factor out y + 4 from the expression

[tex] \frac{(y + 4)(y + 3)}{y(y + 3) - 5(y + 3)} [/tex]

Factor out y + 3 from the expression

[tex] \frac{(y + 4)(y + 3)}{(y + 3)(y - 5)} [/tex]

Reduce the fraction with y + 3

Hope this helps..

Best regards!!

Answer:

a) A quadrilateral with 4 right angles

Answer:

I think the answer is b

I'm sorry if I'm not correct