4. Find m_1.
140°
650

Answer:

She made $664 during that work week.

Step-by-step explanation:

As Mae Ling earns $ 335 per week plus a commission of 7% with respect to the value of the sales she makes, and in the week she made sales for $ 4,700, to determine how much money she earned in the week the following calculation must be made:

335 + (4,700 x 7/100) = X

335 + (32,900 / 100) = X

335 + 329 = X

664 = X

Therefore, during that week Mae Ling earned $ 664.

Answer:

The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

Step-by-step explanation:

The rule of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ LAMP is a square

∵ The sides of the square are equal in lengths

∴ LA = AM = MP = PL

Let us find the length of one side of it

∵ L = (-2, -3) and A = (4, -1)

∴ x1 = -2 and y1 = -3

∴ x2 = 4 and y2 = -1

→ Substitute them in the rule of the distance above to find LA

∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]

∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]

→ Simplify the root

∴ LA = 2[tex]\sqrt{10}[/tex] units

∵ The perimeter of the square = 4 × side

∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]

∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]

∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

Answer:

$1,495,000

Step-by-step explanation:

From the above, we can infer that the first two costs for equipment and software are fixed cost, while wages is the cost that is influenced by the number of months (m).

The above implies that we would multiply number of months 'm' with $40,000.

= 840,000 + 15,000 + 40,000m

Where month (m) = 16

= 840,000 + 15,000 + 40,000(16)

= 840,000 + 15,000 + 640,000

= $1,495,000

Therefore, the total cost is $1,495,000

Answer:

1,=(6x-8)(x+1)

=6x²+6x-8x-8

=6x²-2x-8

2,=(6x+8)(x-1)

=6x²-6x+8x-8

=6x²+2x-8

3,=(6x+1)(x-8)

=6x²-42x+x-8

=6x²-41x-8

Answer:

second option

Step-by-step explanation:

Expand the factors using FOIL

1

(6x - 8)(x + 1) = 0

6x² - 2x - 8 = 0 ≠ 6x² + 2x - 8

2

(6x + 8)(x - 1) = 0

6x² + 2x - 8 = 0 ← True

3

(6x + 1)(x - 8)

= 6x² - 47x - 8 = 0 ≠ 6x² + 2x - 8 = 0

Thus the factored form is

6x² + 2x - 8 = 0

(6x + 8)(x - 1) = 0 → second option

Step-by-step explanation:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

d=-7+3=-3-1=1-5=-4

so it is an arithmetic sequence

hope it helps

Answer:

D. All real numbers

Step-by-step explanation:

Answer:

i’m pretty sure it is 3 but i could be wrong

Step-by-step explanation:

Answer:

The answer is 14 1/2.

Step-by-step explanation:

The reason this is the answer is because once you add it all up u get 13 31/36 and estimated it is closer to thats than any other answer choice.

Answer:

I got c on edg 2021

Step-by-step explanation:

Answer:

w = 65

Step-by-step explanation:

What number that when divided by 5 the quotient can be added to 17?

65 :D (wish it was 69 though)

Answer:

65

Step-by-step explanation:

I’m pretty sure the answer is 6, please correct me if I am wrong.

Answer:

12.7

Step-by-step explanation:

Answer:

148º

Step-by-step explanation:

Use the information given:

With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

Answer:

The answer is 5

Step-by-step explanation:

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

Answer:

x=1

Step-by-step explanation:

It's 26.25.

Step-by-step explanation:

Hope this helps! :)

Answer:

i. 33

ii. 1488

iii. 65

Step-by-step explanation:

i. 4x² − 3y² + 5z²

Putting the values x=2, y=-1 and z=2

4(2)² − 3(-1)² + 5(2)²

4×4 − 3×(1)² + 5×(4)

(16) -  (3×1) + (20)

16 -  3+ 20

36 - 3

33

ii. 3x³ − 2x(4yz+5x²)

Putting the values x=2, y=-1 and z=2

[3(2)³ − 2×2(4×(-1)×2 + 5×(2)²)]

[3(8)³ − 2×2(-8 + 5×4)]

[3 ×512 -  2×2(-8 +20)]

[1536 - 4(12)]

[1536 - 48]

1488

iii. 1−4x(yz+3xy)

Putting the values x=2, y=-1 and z=2

[1 - 4 × 2((-1)×2 + 3×2×(-1))]

[1- 8(-2 + (-6))]

[1- 8 (-2 -6)]

[1 - 8(-8)]

[1 +64]

65

Answer:The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.

Given:

A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.

A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.

To find:

The smallest number of bags the groundskeeper must buy to cover the field.

Solution:  

Diameter of the field = 290 feet, radius = 145 feet

Step-by-step explanation:

Answer: C

Step-by-step explanation:

On edge

Answer:

6-hours

D = C + T

Step-by-step explanation:

The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...

C = 45x

T = 60x

Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...

45(x+2) = 60x  ... distribute 45 evenly

45x + 90 = 60x ... subtract 45x from both sides

90 = 15x  ... divide both sides by 15

6 = x

Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...

D = C + T

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

got it from person above me have nice day

Answer:

the gymnast score is 15.066

Step-by-step explanation:

The computation of the gymnast score is shown below:

Given that

6.9 + (10 - 1.534) - 0.3

Here the 10 denotes the execution score

6.9 denotes the difficulty score

0.3 denotes the penalties

Based on the above information, the gymnast score is

= 6.9 + (10 - 1.534) - 0.3

= 6.9 + 8.466 - 0.3

= 15.066

Hence, the gymnast score is 15.066

Answer:

80/100

Step-by-step explanation:

Answer:

The answer to your question is going to be 80

Answer:

4th quadrant

Step-by-step explanation:

Given that:

cot θ > 0  or  sin θ < 0

[tex]cot \theta = \dfrac{1}{tan \theta}[/tex]

where;

[tex]tan \theta = \dfrac{sin \theta}{cos \theta}[/tex]

∴

If [tex]cot \theta = \dfrac{cos \theta}{sin \theta}>0[/tex] or sin θ < 0, then the terminal arm of the angle lies in the 4th quadrant

Answer:

126p

Step-by-step explanation:

56 divided by 4 = 14p per ounce

14 x 9 = 126p per 9 oz.

Answer:

yes, phone companies, are only allowed to charge for the amount of data you use

Step-by-step explanation:

Answer:

x=18,y=-3

Step-by-step explanation:

Answer:

I dont speak french but if you translate it for me Im pretty sure I could most definitely solve this :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

she is correct?

2 1/8+3 2/8= 5 3/8