What is the solution to the equation 4(x – 3) - 8 = 16?

Answer:

116.4 Square Inches

Step-by-step explanation:

Base Area of the Triangular Pyramid

[tex]=\dfrac12 \times 8 \times 6.9\\\\=27.6$ square inches[/tex]

Surface Area of the three sides

[tex]=3 \times \dfrac12 \times 8 \times 7.4\\\\=88.8$ square inches[/tex]

Therefore, the area of wood needed to build the clock

=27.6+88.8

=116.4 Square Inches

Answer:

C

Step-by-step explanation:

I hope it helps

Answer:

The second option.

Step-by-step explanation:

We are trying to find what is W(x) - D(x).

(4x^3 + 6x^2 - 11x + 7) - (x^3 + 2x^2 + 15)

= 4x^3 - x^3 + 6x^2 - 2x^2 - 11x + 7 - 15

= 3x^3 + 4x^2 - 11x - 8

This corresponds to the second option.

Hope this helps!

A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find what

C(x)  =  W(x)   -    D(x)

C(x)  =   (  4x³   +   6x²  −   11x   +  7, )  -  (  x³   +  2x²  +  15  )

C(x)   =   4x³  -  x²  +  6x²  -  2x³  - 11x  +  7  - 15

C(x)   =   3x³  +  4x²  -  11x  -   8

Therefore A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

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Answer:

(1) P (z > 1.38) = 0.08379

(2) P (z < - 0.42) = 0.33724

(3) P (z < 3.04) = 0.99882

(4) P (z > -2.43) = 0.00755

Step-by-step explanation:

(1)

Compute the value of P (z > 1.38) as follows:

[tex]P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379[/tex]

(2)

Compute the value of P (z < -0.42) as follows:

[tex]P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724[/tex]

(3)

Compute the value of P (z < 3.04) as follows:

[tex]P(z<3.04)=0.99882[/tex]

(4)

Compute the value of P (z > -2.43) as follows:

[tex]P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755[/tex]

Answer:

Ratio of George age to Carl's age to Alex age = 1 : 12 : 4

Step-by-step explanation:

Let the age of Alex = A years

Age of George = G years

And age of Carl = C years

"Alex is 12 years older than George"

A = G + 12 ------(1)

"Carl is 3 times older than Alex"

C = 3A

C = 3(G + 12)

C = 3G + 36 ------(2)

"Sum of their ages is 68 years"

A + G + C = 68 ------(3)

By substituting the values of A and G in equation (3)

G + 12 + G + 3G + 36 = 68

5G + 48 = 68

5G = 20

G = 4 years

From equation (1),

A = 4 + 12 = 16 years

From equation

C = 3(4) + 36

C = 12 + 36

C = 48 years

Ratio of their ages = G : C : A

                               = 4 : 48 : 16

                               = 1 : 12 : 4

Answer:

168

Step-by-step explanation:

We would like to multiply these two expressions together and then substitute -2 in for x to solve.

f(x) * g(x) = (8 - 10x) * (5x + 4)

We will use FOIL (first, outer, inner last):

(8 - 10x) * (5x + 4) = 8 * 5x + 8 * 4 + (-10x) * 5x + (-10x) * 4

Combining terms, we get:

f(x) * g(x) = 32 - 50x²

Plug -2 in for x:

32 - 50 * (-2)² = 32 - 50 * 4 = 32 - 200 = -168

The answer is thus 168.

~ an aesthetics lover

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using this formula, we get

[tex]m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}[/tex]

[tex]m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2[/tex]

Now,

[tex]m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1[/tex]

Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

Answer: 72cups

Step-by-step explanation:

there are 8oz in a cup, so 8oz x 3cups = 24oz

[tex]\\ \frac{24}{8} \ = \frac{x}{192} \\(24) (192) = 8x\\(3) (192) = x\\576=x\\[/tex]

[tex]\frac{576}{8} = 72cups[/tex]

The baker will need 72 cups of flour for 192oz of chocolate chips.

Answer: What is the question? If you could be more specific I could try to help but there is no question here.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

just did it

Answer:

f(x)=2(x-3)^2

Step-by-step explanation:

vertex form: a(x-h)^2+k

so find the vertex (h,k) and use it to turn it into vertex form

Answer:

9. 64

10. 21

11. A (I believe)

Step-by-step explanation:

The first two were simple math problems, however 11. was a bit more complicated and I used logic to find the numbers that best fit into the problem. I am not sure that it is the right answer and if I were you I would wait for someone else to answer this question.

Answer:

The first train travels at 58 mph and the second train travels at 203 mph.

Step-by-step explanation:

The first train left Miami at 3:00 PM.

The second train left Miami at 8:00 PM.

Let the speed of the first train be x.

The second train travels 145 mph faster than the first, that is 145 + x

The second train overtakes the first at 10:00 PM

This means that at 10:00 PM, they were both at the same location.

That is 7 hours after the first train left and 2 hours after the second train left.

Speed is given as:

s = d / t

where d = distance traveled and t = time taken

For the first train, after 7 hours traveling at speed x:

x = d / 7

=> d = 7x _______(1)

For the second train, after 2 hours, traveling at speed 145 + x:

145 + x= d / 2

=> d = 290 + 2x ____(2)

Equating (1) and (2):

7x = 290 + 2x

=> 7x - 2x = 290

5x = 290

=> x = 290/5 = 58 mph

Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)

Answer:

Step-by-step explanation:

Hello

first of all we assume that this number is different from 0 as dividing by 0 is not allowed

let's not n this number

its inverse is

[tex]\dfrac{1}{n}[/tex]

and we can write

[tex]n*\dfrac{1}{n}=1[/tex]

hope this helps

Answer:

x * 1/x = 1

Step-by-step explanation:

Let x be the number

1/x is the inverse

x * 1/x = 1

Answer:

Noah

Step-by-step explanation:

Find how many words each person types in one minute. Andre types 208/4=52 words/min and Noah types 342/6=57 words/min. The answer is Noah.

Answer:

noah types faster

Step-by-step explanation:

Andre

208 words/ 4 minutes =

52 words per minute

Noah

342 words / 6 minutes = 57 words per minute

Answer:

Hasty generalization fallacy

Step-by-step explanation:

Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.

In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.

Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.

Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.

Answer:

$69 dollars.

Step-by-step explanation:

$60 dollars increased by 15% is the same as:

60 + 60(.15) = 60(1.15) = $69

Step-by-step explanation:

5-3x>6

-3x>1

x<-1/3

got it?

Answer:

2x<6

Step-by-step explanation:

Answer:

answer is 24

area of triangle=1/2 base*height

1/2*16*3=24

Answer:

24 sq. units

Step-by-step explanation:

Area of a triangle = Base x height ÷ 2

Base = 16

Height = 3

Therefore 16 x 3= 48 ÷2 = 24

I really hope this helps:)

Answer:

A letter T is folded vertically through the middle.

Step-by-step explanation:

Reflectional symmetry refers to the symmetry of line that divides the given shape into two equal halves. The halves represent the mirror reflection of each other. The line of symmetry is drawn to show the reflection and it acts as a mirror. For the letter 'T', the reflectional symmetry will be drawn vertically in the middle of the letter. The line divides the letter into two equal halves with mirror images.

The figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

A line of reflectional symmetry can be described as an imaginary line that divides a figure into two halves in such a way that each of the halves are a mirror image of the other.

When a line divides letter T vertically, two mirror images are created.

Thus, the figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

Learn more about line of reflectional symmetry on:

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Answer:

Step-by-step explanation:

To find the additive inverse of polynomial expression, flip the sign of each term.

6x² ----> -6x²

-x ----->  +x

-2 -----> +2

Additive inverse:

-6x² + x + 2

Answer:

  [tex]\dfrac{5}{x^3-12x^2+47x-60}[/tex]

Step-by-step explanation:

Though it is not what you have written, we think you want to simplify ...

  [tex]\dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}[/tex]

_____

When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).

Answer:

[tex]\huge\boxed{\sqrt{65}\approx8.062}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (4, 0) and (-3, 4).

Substitute:

[tex]d=\sqrt{(-3-4)^2+(4-0)^2}=\sqrt{(-7)^2+4^2}=\sqrt{49+16}=\sqrt{65}[/tex]

Answer:

-1.76

Step-by-step explanation:

-2 is equal to -2, so it works (greater or less than -2)

-2.45 is less than -2, so it works

-8 is less than -2, so it works

-1.75 is greater than -2, so it doesn't work

9514 1404 393

Answer:

  5 cups and 4 tbsp

Step-by-step explanation:

Double the quantity (2 c, 10 T) is ...

  2 × (2 c, 10 T) = (4 c, 20 T)

A cup is equal to 16 tablespoons, so this quantity can be rewritten as ...

  (5 c, 4 T)

Five cups and four tablespoons of flour are needed for the double recipe.

Your answer would be 0.14 to the nearest hundredth.

The question P(Walk to school | Senior) is asking for the probability that a student walks to school given that they're a senior. Therefore we have to count how many total senior students there are, which is 35.

To form the probability, we then need to see how many of these 35 students walk to school, which we're given as 5. Thus, the probability is 5/35 which simplifies to 1/7.

1/7 as a decimal is 0.1429, which, when rounded to the nearest hundredth, gives us 0.14.

I hope this helps! Let me know if you have any questions :)

Hi there! Hopefully this helps!

The answer is: 0.016

Here is how I got that answer:

16/1000=0.016

Answer:

Step-by-step explanation:

£16÷1000=0.016p

Answer:

Solution,

[tex] {w}^{3} - w( {w}^{2} + 2w - 1) + 2w \\ = {w}^{3} - {w}^{3} - 2 {w}^{2} + w + 2w \\ = - 2 {w}^{2} + 3w[/tex]

Some rules:

[tex]( + ) \times ( + ) \ = ( + ) \\ ( - ) \times ( + ) = ( - ) \\ ( + ) \times ( - ) = ( - ) \\ ( - ) \times ( - ) = ( + )[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

A

Step-by-step explanation:

Put the values of x and y into the expression, then multiply the values.

7 x 3 x 2 x 4 = 168

Answer:

B. 252

Step-by-step explanation:

[tex]7x^2y[/tex]

Put x as 3 and y as 4.

[tex]7\left(3\right)^2\left(4\right)[/tex]

Evaluate.

[tex]7(9)(4)[/tex]

[tex]=252[/tex]

Answer:

B, 2(10^4)

Step-by-step explanation:

2(10^3)= 2000

2(10^4)= 20000

2(10^4) Is closer to 16790 than 2(10^3)

Answer:

m∠G > m∠P

Step-by-step explanation:

Given that:

HG = MP and GK = PN., Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters.

The triangle law for unequal sides states that if two sides are unequal. the angle opposite the longer side is greater than the angle opposite the shorter side. Since side HK has a length of 15 millimeters and Side MN has a length of 11 millimeters, the angle opposite side HK (which is m∠G) is greater than the angle opposite side MN (which is m∠P). That is m∠G > m∠P.

Answer:

A.

Step-by-step explanation:

Answer:

24 units

Step-by-step explanation:

OM = ON, so

OP= 13-8

That means OP is 5.

Using the Pythagorean Theorom to find MP:

5^2+b^2=13^2

25+b^2=169

b^2=169-25

b^2=144

B=12

This means MP =12.  ML is twice as long as MP. 12x2=24

The answer is B. 24 units