What is the simplified form of the algebraic expression showed below
7w-3w+5

True

A counterexample is a special type of example that is an exception to a general rule, law, proposition or statement. Hence if we prove that [tex]sin(45^{\circ})+cos(45^{\circ})\neq 1[/tex] then this is a counterexample for the expression [tex]sin(x)+cos(x)=1[/tex]. Thus:

[tex]sin(x)+cos(x)=1 \\ \\ Substituting \ x=45^{\circ} \ we \ have: \\ \\ sin(45^{\circ})+cos(45^{\circ})=1 \\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}=1 \\ \\ Rewriting:\\ \\2\frac{\sqrt{2}}{2}=1 \\ \\ \therefore \sqrt{2}=1 \ FALSE![/tex]

So we observe that the equation is not fulfilled because [tex]\sqrt{2}\neq 1[/tex]. In conclusion:

A counterexample for the expression sin(x)+cos(x)=1 is 45° is true!

Answer:

you need to give more info please

Step-by-step explanation:

To measure length to the nearest fourth inch, use a ruler or measuring tape that shows inches and fractions of an inch. Align the beginning of the ruler or tape measure with one end of the object and identify the nearest one-fourth inch mark.

When measuring length to the nearest fourth inch, you can use a ruler or a measuring tape that shows inches and fractions of an inch. Start by aligning the beginning of the ruler or tape measure with one end of the object you want to measure. Then, identify the nearest one-fourth inch mark on the ruler or tape measure and record the measurement. For example, if the object aligns with the 3 1/4 inch mark, the length can be recorded as 3 1/4 inches.

The answer is 1,200.

Hope this helps!

Answer:

Option B. 1,200.

Step-by-step explanation:

Regina is in charge of purchasing notepads to  give away at an upcoming trade show.

she knows that 65 boxes of notepads will contain a total of 1,625 pads.

We calculate this by unitary method. first we calculate the amount of pads in one box.

∵  65 boxes contains = 1,625 pads

∴  in one box = 1,625 ÷ 65 = 25 pads

She purchases 48 boxes, so she will receive = 25 × 48 = 1,200 pads

She would receive 1200 pads if she purchases 48 boxes.

Answer:

7

Step-by-step explanation:

If J is Joan's current age and E is Ellen's current age, then:

J = E + 5

(J - 3) + (E - 3) = 17

Solve the first equation for E:

E = J - 5

Substitute into the second:

(J - 3) + (J - 5 - 3) = 17

J - 3 + J - 8 = 17

2J - 11 = 17

2J = 28

J = 14

Joan is 14, so in 7 years, she will be 21.

Since this is a linear question in y=mx+b form, and where m is the slope of the line and b is the y-intercept....

The slope in this problem is 2/3

And y intercept is -1

So you would graph the point -1 on y axis then go up 2/3 since it’s positive( go up 2 over 3)

Answer:

10

Step-by-step explanation:

To calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, 2) and (x₂, y₂ ) = (- 5, - 8)

d = [tex]\sqrt{(-5+5)^2+(-8-2)^2}[/tex]

  = [tex]\sqrt{0^2+(-10)^2}[/tex]

  = [tex]\sqrt{0+100}[/tex] = [tex]\sqrt{100}[/tex] = 10

length* width

12*10= 120

Volume /120

960/120=8

height is 8 inches

For this case we have that by definition, the formula of the midpoint is given by:

[tex]MP = (\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2})[/tex]

We have the points are:

[tex](x_ {1}, y_ {1}) :( 9,8)\\(x_ {2}, y_ {2}): (- 1, -2)\\MP = (\frac {9 + (- 1)} {2}, \frac {8 + (- 2)} {2})\\MP = (\frac {9-1} {2}, \frac {8-2} {2})\\MP = (\frac {8} {2}, \frac {6} {2})\\MP = (4,3)[/tex]

Answer:

Option D

Answer:

option D is right on plato

Step-by-step explanation:

Answer:

500.874

Step-by-step explanation:

Answer:

The volume for a cylinder is [tex]\pi[/tex][tex]r^{2} h[/tex].

The diameter is half of the radius, so the r=2.

So pi x 2^2 x 12, this equals around 150.8 cubic feet.

I don't know what are your choice so just pick one that is closest to 150.8

Answer:

Step-by-step explanation:

Look at the picture

Answer:

about 54% of the people surveyed were females

Step-by-step explanation:

to calculate the % of females out of everyone, you need to add everyone up, and then add up only the females.

119+150+447+735+1174+103+171+512+710+756=4877

4877 is the Total number of people surveyed

119+150+447+735+1174=2625

2625 is the total number of females surveyed

so

to convert 2625/4877 to a %, first turn it into a decimal

2625/4877=0.538

now multiply 0.538 by 100

0.538*100=53.8%

so about 54% of the people surveyed were females

D) about 54% of the people were women

Answer:

45*2/3 is 90/3 which is 30 times

Step-by-step explanation:

Answer:

Step-by-step explanation:

the standard equation of a line is in the form y=mx+b where m is the slope and b is the y intercept so if m = 1/4 and b = -3/4 you can just replace those spots giving you y=1/4x+-3/4

Answer:

A

Step-by-step explanation:

Given

x³ +x ² - 6x ( to find the zeros equate to zero ), that is

x³ + x² - 6x = 0 ← factor out x from each term

x(x² + x - 6) = 0

To factorise the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, hence

x(x + 3)(x - 2) = 0

Equate each factor to zero and solve for x

x = 0

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

The zeros are x = - 3, x = 0, x = 2 → A

Answer:

The cost of a funnel cake is $6.75 and the cost of a milkshake is $4.50

Step-by-step explanation:

Let

x-----> the cost of a funnel cake

y----> the cost of a milkshake

we know that

5x+3y=47.25 -----> equation A

2x+6y=40.50 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (6.75,4.50)

see the attached figure

therefore

The cost of a funnel cake is $6.75

The cost of a milkshake is $4.50

Answer:

8x + 12y < 240

Step-by-step explanation:

If x equals the number of small rugs and y equals the number of medium rugs dyed, we would need to multiply both variables by the number of hours taken to dye each sized rug. It takes 8 hours to dye a small rug (8x), and 12 hours to dye a medium rug (12y).

Then, to find the total number of hours they dye them in, add the terms together.

8x + 12y

The company must dye the rugs in less than 240 hours, so we will use a 'less than' (inequality) sign (it cannot be 240, or any more than 240).

8x + 12y < 240

Answer:

c

Step-by-step explanation:

Answer:

Associativity property of Addition 

Step-by-step explanation:

The associate property defines that grouping of more than two numbers and performing the basic arithmetic operations of addition and multiplication does not affect the final result. Note that grouping means placing the parenthesis.

The property used in this equation is the associative property of addition.

Associative property states that changing the order in which addends are grouped has no effect on the sum.

(a + b) + c = a + (b + c)

The equation given in the question is:

3 + [7 + (–4)] = [3 + 7] + (– 4)

The associative property states that (a + b) + c = a + (b + c)

Both equations are matching.

Hence, the equation given in the question clearly follows the associative law of addition.

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Answer:

¹⁶⁹⁰/₃π cm³ ≈ 1769.76 cm³

Step-by-step explanation:

Equation of a volume of a cone: V = ¹/₃ * πr²h

1. Find r (radius): r = d/2 = 26/2 = 13 cm

2. Plug in everything into equation: V = ¹/₃ * π(13)² * 10

3. Square: V = ¹/₃ * π * 169 * 10

4. Multiply: V = ¹⁶⁹⁰/₃π cm³ ≈ 1769.76 cm³

if it has a diameter of 26 cm, then its radius is half that, or 13.

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=13\\ h=10 \end{cases}\implies V=\cfrac{\pi (13)^2(10)}{3} \\\\\\ V=\cfrac{1690\pi }{3}\implies V\approx 1769.76[/tex]

165\15= number of tubs

165 divided by 15 equals the amount of the tubs that he sold.

(I assume the two different name things, isaac&dominic, is a mistake since there isnt any information for Dominic)

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

In a reflection across the y-axis the y-coordinate remains the same, but the x-coordinate is transformed into its opposite

we have

[tex]f(x)=2(0.4)^{x}[/tex]

The reflection of f(x) across the y-axis is equal to the function g(x)

[tex]g(x)=2(0.4)^{-x}[/tex]

The graph in the attached figure

The graph which best represents a reflection of f(x) across the y-axis is; f(x) = 2(0.4)^-x.

[tex]f(x) = 2(0.4)^{-x}[/tex]

A reflection of a point over the y -axis is given by a rule in accordance with mathematical convention. The rule in discuss for a reflection over the y -axis is (x,y)→(−x,y).

Hence, the reflection of the graph is given by the function; f(x) = 2(0.4)^-x.

[tex]f(x) = 2(0.4)^{-x}[/tex]

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Answer:

Step-by-step explanation:

Let me give you an example of a exponential equation and if you need more help let me know.

Ex: 3^2x-1=27

3^2x-1=3^3 (3x3x3=27)

2x-1=3

2x+4

x= 2.

Hope my answer has helped you!

Solving exponential equations involves understanding exponential notation, the concept of logarithms, the rules of division in exponentials, and the relationship between the exponent and the decimal shifts.

To solve exponential equations, understanding exponential notation is crucial. This notation is used to express very large and very small numbers as a product of two numbers. The first number of the product referred to as the digit term, is usually not less than 1 and not equal to or greater than 10. The second component of the product considered the exponential term, is written as 10 with an exponent. Definitely, knowing about the squaring of exponentials is helpful, where you square the digit term in the typical way and multiply the exponent of the exponential term by 2.

What also comes in handy in this process is the concept of logarithms. For instance, the logarithm of a product of two numbers is the sum of the logarithms of the two numbers. To put it in a mathematical expression, log xy = log x + log y.

Moreover, when dealing with division in exponential equations, you typically divide the numbers out front and subtract the exponents. For example, if you have 10⁶ divided by 10³, you will get 10^(6-3) = 10³.

Lastly, the power or exponent of 10 is equal to the number of places the decimal is shifted. For example, 1,230,000,000 can be written as 1.23 × 10⁹, and 0.00000000036 can be written as 3.6 × 10⁻¹⁰.

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Answer:

60

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

x + x + x = 180

3x = 180 ( divide both sides by 3 )

x = 60

The triangle is equilateral

Check the picture below.

(21•8)-(8•3/2)-(8•6/2)=

168-12-24= 168-36=132

The big rectangle-small triangle on the left-triangle on the right

Answer: May 1st

Step-by-step explanation:

They have pay initially the down payment of 5% and the first month's installment.

You should start on May 1, because if you want to get it for her for Christmas.

Option D is correct.

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan.

Down payment is the initial deposit made by the buyer to the seller when purchasing an expensive item, such as residential property or a car.

According to the question

Bryson and his cousins plan to all chip in to get their grandmother a $250 Christmas present.

They make a down payment of 5% and pay $30 a month after that.

If the payments are due at the beginning of each month, then they have to pay the first month's installment with their down payment.

That means they have pay initially the down payment of 5% and the first month's installment.

Total price = $250

Down payment = $250 x 5% = $12.5

Remaining amount = 250 - 12.5 = 237.5

= [tex]\frac{237.5}{30} =7.91[/tex] ≈ 8 months

You should start on May 1, because if you want to get it for her for Christmas.

May to December is 8 months.

Option D is correct.

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Answers:

A) 56 Inches

B) 1 Yard

Explanation:

A) 56 Inches is 4.6 Feet

B) A Yard is 3 Feet

Note:

C) 1 Yard 2 Feet is exactly 5 feet but not less than five as its equal.

Answer:

The answer is A. and B

56 inches, and 1 yard

Step-by-step explanation:

i took it on my unit practice.... pls give me brainliest..! tysm

Answer:

It would be 32. my G

Answer:

D

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

100° is an exterior angle while 68° and x° are the opposite interior angles, thus

x + 68 = 100 ( subtract 68 from both sides )

x = 32° → D

Answer:

3.24

Step-by-step explanation:

You would use the two fonts given to find the scale factor.

So the scale factor would be 10.4976/5.832 = 1.8

So if the scale factor is 1.8 we can use that to find the font size just before that. To do this you would divide the font size by the scale factor.

So

5.832/1.8 = 3.24

The font size just before 5832 is 3.24.

Hope this helps, if there is an error in my work please correct me.

Answer:

x< [tex]x<−32 or x>−43[/tex]

Step-by-step explanation: