What is the value of -2x+3yz if x=3, y=6, and z=

Answer:

the volume is 7 because there is 7 blocks

=========================================

Explanation:

The larger rectangle has area of (x+1)(x+1) = x^2+2x+1 through the use of the FOIL rule or distribution

If you use distribution, then it might help to let y = x+1 so we'd have y(x+1) lead to xy+1y which becomes x(x+1)+1(x+1). From there it might be easier to see how to get x^2+2x+1 after everything distributes again and simplifies.

The smaller rectangle has area 5x-35 which is found by distributing 5(x-7)

To get the shaded area, we subtract the two rectangle areas found above

shaded area = (larger area) - (smaller area)

shaded area = (x^2+2x+1) - (5x - 35)

shaded area = x^2+2x+1 - 5x + 35

shaded area = x^2-3x+36

Answer:

$1,020

Step-by-step explanation:

There is a $200 difference in the every monthly pay.

Because of this we know that the first month was an amount minus $200.

If we subtract 1220 and 200, you get the pay of 1020 for 0 hours.

Answer:

a = 1/4

Step-by-step explanation:

Divide each side by 36:

36a = 9

a = 1/4

Answer:

a=1/4=0.25

Step-by-step explanation:

to get the value of a divide 36 by 9.

[tex]36a=9\\ \frac{36a}{36}=\frac{9}{36}\\ a=\frac{9}{36}\\ (simplify) \\ a=\frac{1}{4}=0.25[/tex]

Answer:

5 gallons

Step-by-step explanation:

times both the rate of the gas pumping and the time it takes by 12/1

so you could get half a minute.

then you get 60/12 gallons pumped per 1/2 min

then you just simplify it to 5 gallons per half minute

Answer:

i). x³ + 9x² + yz - 15

ii). -21m³np - 8p⁵q + mnp + 4mn + 100

Step-by-step explanation:

Question (38)

i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz

  By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).

 (x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15

                                                    = x³ + 9x² + yz - 15

ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100

  = (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100

  = -21m³np - 8p⁵q + mnp + 4mn + 100

The answers are in order 3/50,1/20, greater than.

Answer:

1.b 2.a 3.b

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Sqrt(4000)= 20

Answer:

[See Below]

Step-by-step explanation:

✦ First you have to determine the rule:

  ✧ The rule is -2

    ○ 4 - 2 = 2

    ○ 2 - 2 = 0

    ○ 0 - 2 = -2

    ○ -2 - 2 = -4

    ○ And the rule would go on and on...

✦ And now that you know the rule, you have to determine the next terms:

  ✧ -6

  ✧ -8

  ✧ -10

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

s. 0/10

6. 5/0

7. 1/10

8. 4/10

9. 5/10

Answer:

2.5 mile inch 158400

Step-by-step explanation:

It's on google

158400

You can just ask google

Answer:

7, 14, 14,21, and 28

Step-by-step explanation:

Only 1, 7 is pair of numbers that has 7 as its least common multiple.

Given that,
Pairs ( 1, 7 ), ( 3, 4 ), ( 7, 21), ( 14, 28).
A pair or pairs to be determined that have 7 as its least common multiple.

In mathematics, it deals with numbers of operations according to the statements.

In arithmetic, LCM is defined as the lowest common multiple of two integers X and Y, usually represented as by LCM X, Y, and is the smallest favorable integer that is dividable by both X and Y.

Since the Least common multiple of pair of numbers has 7, this is only possible for 1 * 7, because the LCM of 1 and7 is 7. So from given option 1, 7 is the required pair.

Thus, only 1, 7 is pair of numbers that has 7 as its least common multiple.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 15 °}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{x + 30 ° + 100 ° + 3x - 10 ° = 180 °}[/tex]

( Sum of angle in straight line )

Collect like terms

⇒[tex] \sf{4x + 30 ° + 100 ° - 10 ° = 180 °}[/tex]

Calculate the sum or difference

⇒[tex] \sf{4x + 120 ° = 180 °} [/tex]

Move 120 to right hand side hand change it's sign

⇒[tex] \sf{4x = 180 ° - 120 °}[/tex]

Subtract 120 from 180

⇒[tex] \sf{4x = 60 ° }[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4x}{4} = \frac{60}{4} }[/tex]

Calculate

⇒[tex] \sf{x = 15  °}[/tex]

Hope I helped!

Best regards!!

Answer:

2. 14

4. -6

Step-by-step explanation:

#2

(x²-4y)/2, given x=4, y=-3

 [(4)²-4(-3)]/2

=[16+12]/2

=28/2

=14

------------------------

#4

19-x², given x=-5

 19-(-5)²

=19-25

=-6

Answer:

[tex]3\frac{1}{4}[/tex]

Step-by-step explanation:

Given the two  -3 1/4 and -6 1/2 numbers  on the line, the distance between he numbers can be gotten by simply taking the differences between both values as shown;

[tex]= -3\frac{1}{4} -(-6\frac{1}{2} )\\ \\= -\frac{13}{4} + \frac{13}{2}\\ \\= \frac{-13+26}{4}\\ \\= \frac{13}{4} \\\\= 3\frac{1}{4}[/tex]

Hence the distance between two numbers on the number line is [tex]3\frac{1}{4}[/tex]

Answer:

z=-21

Step-by-step explanation: (9-3)/2=(6+z)/5

We move all terms to the left:

(9-3)/2-((6+z)/5)=0

We add all the numbers together, and all the variables

-((z+6)/5)+6/2=0

We add all the numbers together, and all the variables

-((z+6)/5)+3=0

We multiply all the terms by the denominator

-((z+6)+3*5)=0

We calculate terms in parentheses: -((z+6)+3*5), so:

(z+6)+3*5

We add all the numbers together, and all the variables

(z+6)+15

We get rid of parentheses

z+6+15

We add all the numbers together, and all the variables

z+21

Back to the equation:

-(z+21)

We get rid of parentheses

-z-21=0

We add all the numbers together, and all the variables

-1z-21=0

We move all terms containing z to the left, all other terms to the right

-z=21

z=21/-1

z=-21

The answer for your problem is 192

Answer:

(-25) + (-45) + (-75)

-145

Step-by-step explanation:

Given that :

jan made withdrawals of 25 45 75 from her savings account

Sum of negative integers to show Jan's withdrawals :

Expression to showing sun of negative integers to represent Jan's withdrawals :

(-25) + (-45) + (-75)

The result of the sum will give the total amount of Jan's withdrawal.

(-25) + (-45) + (-75) = - 145

Hence, total amount Jan withdrew is - 145

Answer:

5

Step-by-step explanation:

A factor is a number or an expression that is multiplying something.

5 is multiplying -3n + 8.

Answer: 5 is a factor.

Answer:

[tex]x=\pm i\text{ or }x=\pm2i[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^4+5x^2+4=0[/tex]

Let's let u be equal to x². So:

[tex]u^2+5u+4=0[/tex]

Factor:

[tex](u+1)(u+4)=0[/tex]

Zero Product Property:

[tex]u+1=0\text{ or } u+4=0[/tex]

Subtract:

[tex]u=-1\text{ or }u=-4[/tex]

Replace:

[tex]x^2=-1\text{ or }x^2=-4[/tex]

Take square root:

[tex]x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4[/tex]

Simplify:

[tex]x=\pm i\text{ or }x=\pm2i[/tex]

Answer:

5.6

Step-by-step explanation:

(2+3+5+7+11)/5

=5.6

Answer:

f(x)= -2x + 1

Step-by-step explanation:

The function we will find is to be written in slope-intercept form, which is y=mx+b.

One way to find the answer would be by graphing the function, wich you can do on an online calculator or a sheet of paper.

Another way to get to our answer without even having to graph is by finding the y-intercept, or the b, of the function given in the table.

We can do this by looking at the 0 value of the table. The table tells us that the y-intercept is 1.

So, we have to look at our options and see which one has +1 for the y-intercept.

The option f(x)=-2x+1 is the answer

How to check your work: input the given x values into the chosen function, in this case f(x)= -2x + 1

So for example, you could check that this answer is the function by doing

Make sure to do this to all values.

Hope this helps!

Step-by-step explanation:

cos 20° cos 40° cos 60° cos 80°

Simplify cos 60° to ½.

½ cos 20° cos 40° cos 80°

We can use double angle formula, sin(2θ) = 2 sin θ cos θ.  Multiply and divide by 2 sin 20°.

½ (2 sin 20° cos 20° cos 40° cos 80°) / (2 sin 20°)

½ (sin 40° cos 40° cos 80°) / (2 sin 20°)

Multiply and divide by 2 and use double angle formula again.

½ (2 sin 40° cos 40° cos 80°) / (4 sin 20°)

½ (sin 80° cos 80°) / (4 sin 20°)

Multiply and divide by 2 and use double angle formula again.

½ (2 sin 80° cos 80°) / (8 sin 20°)

½ (sin 160°) / (8 sin 20°)

Use phase shift identity sin θ = sin(180−θ).

½ (sin 20°) / (8 sin 20°)

1/16

In this case we have the equation cos(20°)(cos(40°)(cos(60°)(cos(80°) = 1 / 16, and are asked to prove that this equation is true. Let's start by using the property 'cos(s)cos(t) = cos(s + t) + cos(s - t) / 2.' Taking the bit 'cos(20°)(cos(40°)' we know that s should = 20°, and t should = 40°.

[tex]\mathrm{Using\:the\:following\:identity}:\quad \cos \left(s\right)\cos \left(t\right)=\frac{\cos \left(s+t\right)+\cos \left(s-t\right)}{2},[/tex]

[tex]\cos \left(20^{\circ \:}\right)\cos \left(40^{\circ \:}\right)=\frac{\cos \left(20^{\circ \:}+40^{\circ \:}\right)+\cos \left(20^{\circ \:}-40^{\circ \:}\right)}{2}\\[/tex]

[tex]\mathrm{Substituting\:the\:value\:back}:\frac{\cos \left(20^{\circ \:}+40^{\circ \:}\right)+\cos \left(20^{\circ \:}-40^{\circ \:}\right)}{2}\cos \left(60^{\circ \:}\right)\cos \left(80^{\circ \:}\right)[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{\cos \left(60^{\circ \:}\right)\cos \left(80^{\circ \:}\right)\left(\cos \left(60^{\circ \:}\right)+\cos \left(-20^{\circ \:}\right)\right)}{2}[/tex]

This expression is indeed not simplified, but remember that we can use the identities 'cos(- 20°) = cos(20°)' and 'cos(60°) = 1 / 2.' Let's substitute one step and a time.

[tex]\cos \left(-20^{\circ \:}\right)=\cos \left(20^{\circ \:}\right): \frac{\cos \left(60^{\circ \:}\right)\cos \left(80^{\circ \:}\right)\left(\cos \left(60^{\circ \:}\right)+\cos \left(20^{\circ \:}\right)\right)}{2}[/tex]

[tex]\cos \left(60^{\circ \:}\right)=\frac{1}{2}:\frac{\frac{1}{2}\cos \left(80^{\circ \:}\right)\left(\frac{1}{2}+\cos \left(20^{\circ \:}\right)\right)}{2}[/tex]

[tex]\frac{\frac{1}{2}\cos \left(80^{\circ \:}\right)\left(\frac{1}{2}+\cos \left(20^{\circ \:}\right)\right)}{2} = \frac{\cos \left(80^{\circ \:}\right)\left(1+2\cos \left(20^{\circ \:}\right)\right)}{8}[/tex]

Now that we have this 'simplified expression,' if we take the numerator as a whole in decimal form, it will = 0.5. Respectively 0.5 / 8 = 1 / 2 / 8 = 1 / 16. Hence our equation is true.

[tex]\cos \left(80^{\circ \:\:}\right)\left(1+2\cos \left(20^{\circ \:\:}\right)\right) = 0.5,\\0.5 / 8 = (1 / 2) / 8 = 1 / 16[/tex]

Answer:

6 CD's

Step-by-step explanation:

$85.65 - $1.9 = 5 $84.15

$84.15 ÷ $13.95 = 6

Answer:

The length and base are 10/3 and 25/3 respectively

Step-by-step explanation:

Given:

Represent the sides with S and the base with B

Shape: Isosceles Triangle

[tex]S= B- 5[/tex]

[tex]Perimeter , P= 15[/tex]

Required

Determine the base and legs of the triangle;

The perimeter (P) of a triangle is calculated as thus;

[tex]P = S+ S + B[/tex]

[tex]P = 2S + B[/tex]

Substitute B-  5 for S

[tex]P = 2(B - 5) + B[/tex]

[tex]P = 2B - 10 +B[/tex]

Substitute 15 for P

[tex]15 = 2B - 10 + B[/tex]

Collect Like terms

[tex]2B + B = 15 + 10[/tex]

[tex]3B = 25[/tex]

Divide through by 3

[tex]B = \frac{25}{3}[/tex]

Recall that [tex]S= B- 5[/tex]

[tex]S = \frac{25}{3} - 5[/tex]

Take LCM

[tex]S = \frac{25 - 15}{3}[/tex]

[tex]S= \frac{10}{3}[/tex]

Hence, the length and base are 10/3 and 25/3 respectively

Step-by-step explanation:

BD bisects ∠ABC.  Therefore:

m∠DBC = ½ m∠ABC

y + 5 = ½ (5/2 y)

y + 5 = 5/4 y

4y + 20 = 5y

y = 20

Therefore, m∠ABC = 50°, and m∠ABD = 25°.

Answer:

Step-by-step explanation:

LET

x be the number of  regular work hours

overtime paid time and a half :(11.75+1/2(11.75))= 17.625 dollars

max time =10 hours

max overtime paid = 10*17.625=170.65 dollars per week

f(x) or y =11.75x

the graph is proportional because it passes through the origin( no work hours, no earning)

with no overtime the workers if the workers work 40 hours then :

y=11.75*40=470 dollars