Mary and Mia are assembling floor lamps. Mary can assemble 10 lamps per hour. Mia can complete 12 lamps per hour. Together, they assemble 600 lamps. Let x = hours worked by Mia and y = hours worked by Mary. If Mia works for 25 hours, how many hours did Mary work?

For this case we have that by definition:

[tex]Sec (a) = \frac {1} {cos (a)}[/tex]

Then, we can rewrite the expression as:

[tex]Sec (120) = \frac {1} {cos (120)}[/tex]

[tex]cos (120) = cos (180-60) = - cos (60) = - \frac {1} {2}[/tex]

So:

[tex]Sec (120) = \frac {1} {- \frac {1} {2}}\\Sec (120) = - 2[/tex]

Answer:

-2

The exact value of sec 120° is -2 as secant function is the reciprocal of the cosine function,

The secant function is the reciprocal of the cosine function, so we can find sec 120° by finding the reciprocal of cos 120°.

First, let's determine the value of cos 120°.

We know that cos 120° is negative in the unit circle, so we need to find the cosine of the reference angle, which is 60°.

In the unit circle, at 60°, the cosine value is 1/2.

Since cos 120° is negative, the value is -1/2.

Now, we can find the exact value of sec 120° by taking the reciprocal of -1/2:

sec 120° = 1 / (cos 120°) = 1 / (-1/2) = -2.

Therefore, the exact value of sec 120° is -2.

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Answer:

[tex]\frac{\sqrt[3]{5} }{3x}[/tex]

Step-by-step explanation:

Ok, let's do this step by step....

[tex]\sqrt[3]{\frac{10x^{5} }{54x^{8} } }[/tex]

Let's first simplify the x's:

[tex]\sqrt[3]{\frac{10}{54x^{3} } }[/tex]

Then we breakdown the 54 as 2 * 27 then simplify with the 10 above.

[tex]\sqrt[3]{\frac{10}{2 * 27x^{3} } } = \sqrt[3]{\frac{5}{27x^{3} } }[/tex]

Now, we can rewrite this as the following and solve the bottom part:

[tex]\frac{\sqrt[3]{5} }{\sqrt[3]{27x^{3} } } = \frac{\sqrt[3]{5} }{3 \sqrt[3]{x^{3} } } = \frac{\sqrt[3]{5} }{3x}[/tex]

The solution is

[tex]\frac{\sqrt[3]{5} }{3x}[/tex]

Answer:

7

Step-by-step explanation:

Answer:

ice cream = 3.80$

cup cake = 4.25$

donuts = 2.5$

Step-by-step explanation:

a=ice cream

b = cup cake

c = donuts

we can write the following equations given from the picture:

a+b+b=12.30$   equation 1

b+c+a=10.55$   equation 2

b+c+c =9.25$   equation 3

using equation 1 we have:

2b+a=12.30

a=12.30-2b

using equation 3 we have:

2c+b=9.25

c=(9.25-b)/2

using equation 2 we have:

b+((9.25-b)/2)+12.30-2b=10.55

((2b+9.25-b)/2) - 2b = 10.55-12.30

((2b+9.25-b-4b)/2) =-1.75

-3b+9.25=2*(-1.75)

-3b= -3.5-9.25

-3b=-12.75

b=12.75/3

so we have b= 4.25$ = cup cake

we have:

c=(9.25-b)/2= (9.25-4.25)/2

c=2.5$= donuts

a= 12.30-2b= 12.30-2*(4.25)

a= 12.30-8.5 = 3.8$ = ice cream

Answer:

Step-by-step explanation:

16x^4+56x^2+49

(4x^2+7)^2

Answer:

The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y

Step-by-step explanation:

The product of the two expressions can be expressed mathematically as;

(2x +y) (5x -y +3)

To obtain the product of these expressions, we simply expand the brackets as follows;

2x(5x -y +3) + y(5x -y +3)

= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y

= 10x^2- 2xy + 5xy + 6x - y^2 + 3y

= 10x^2+ 3xy + 6x - y^2 + 3y

The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y

Answer: 10x^2 +3xy +  6x + -1y^2 + 3y

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

Imagine a waistband stretched around the middle of an apple, horizontally.

The waistband could be represented by the circumference of the apple, with a central angle of 360°.

Divide this central angle by 8, obtaining 45°.  Each piece of apple is measured by a central angle of 45°.

To find the angle measure of each of the 8 pieces of the apple, divide the total degrees in a circle by 8, resulting in each piece having an angle measure of 45 degrees.

To find the angle measure of each piece, we divide the circle into 8 equal slices.

Each slice corresponds to an angle of 360 degrees (the total degrees in a circle) divided by 8, which equals 45 degrees for each piece.

Therefore, the angle measure of each piece of the apple is 45 degrees.

Answer:

The difference between 2 × 6 and 2 × 5 is ...

2 × 5  = 10

And,

2 × 6 = 12

So if you subtract 12 - 10

= 2

Therefor,  the difference is by 2

* Hopefully this helps:) Mark me the brainliest:)!!

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The difference between two times six and five is calculated by first multiplying two by six to get twelve, then subtracting five from twelve, resulting in seven.

The student has asked about the difference between two times six and five. To solve this, we first calculate two times six, which gives us twelve. Then, we subtract five from twelve to find the difference. Therefore, the calculation we need to make is 12 - 5 = 7.

So, the difference between two times six and five is seven.

Answer:

0

Step-by-step explanation:

When put in between these lines || a negative number becomes positive and a positive number stays the same.

a)Each egg requires 0.5 cups of sugar in Grandma's recipe.

b)The ratio of baking powder to salt is 3:1.

a) The recipe uses 2 cups of sugar and 4 eggs. To find out how many cups of sugar are needed per egg, we divide the total cups of sugar by the number of eggs:

2 cups of sugar / 4 eggs = 0.5 cups of sugar per egg

So, 0.5 cups of sugar are needed for each egg.

b) Ratio of baking powder to salt

The recipe calls for 3/4 teaspoon of baking powder and 1/4 teaspoon of salt. To find the ratio of baking powder to salt, we divide the amount of baking powder by the amount of salt:

(3/4) teaspoon of baking powder / (1/4) teaspoon of salt = 3

Thus, the ratio of baking powder to salt is 3:1. This means there is three times as much baking powder as salt in the recipe, which aligns with your sister's observation.

The complete question is:

Use the recipe shown in the table to answer the questions below. Use pictures, tables or number sentences to solve the task. Grandma's Recipe for Sugar Cookies 1/2 cups butter 2 cups sugar 4 eggs 34 teaspoon baking powder 1 % cups flour 14 teaspoon salt a) How many cups of sugar are needed for each egg? How do you know? Your sister notices that she needs three times as much baking powder as salt in this recipe. b)What is the ratio of baking powder to salt? Explain your reasoning in words.

Answer:

[tex]r=4\csc \theta \cot\theta[/tex]

Step-by-step explanation:

The given parametric equations are;

[tex]x=t^2[/tex]

[tex]y=2t[/tex]

We make t the subject in the second equation to get:

[tex]t=\frac{y}{2}[/tex]

We substitute into the first equation to get:

[tex]x=(\frac{y}{2})^2[/tex]

We use the relation:

[tex]x=r\cos \theta[/tex] and [tex]y=r\sin \theta[/tex]

[tex]r\cos \theta=(\frac{r\sin \theta}{2})^2[/tex]

[tex]r\cos \theta=\frac{r^2\sin^2 \theta}{4}[/tex]

[tex]r=4\csc \theta \cot\theta[/tex]

An equation is formed of two equal expressions. The polar form of parametric equations x=t² and y=2t is r = 4cosecθ cotθ.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The following parametric equation x=t² and y=2t in the form of a polar equation can be written as,

y=2t

t = y/2

Substituting the value of y from the second equation in the first,

x = (y/2)²

Using the basic relation we can write, the value of x and y as,

x = r cosθ

y = r sinθ

substitute the value of x and y,

r cosθ = [(r sinθ)/2]

r sinθ = (r²sin²θ)/4

r = 4cosecθ cotθ

Hence, the polar form of parametric equations x=t² and y=2t is r = 4cosecθ cotθ.

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Answer:

$560.29

Step-by-step explanation:

To find the total price, first, find out how much of $519.99 is 7.75%

To do this convert %7.75 into a decimal [divide by 100]

7.75% = 0.0775

Now multiply 0.0775 by $519.99

519.99 x 0.0775 = 40.299225

Since 40.299225 is an amount of money, round it to the nearest hundreth in cents.

40.299225 = 40.30

Now add the sales tax and original price.

$40.30 + $519.99 = 560.29

So, the cost of the bicycle after sales tax is $560.29

The answer is the first option:

Answer:

Sorry to copy the other answer but plzz give the other person brainlist becuase I am doing a challenge on answering 5 mathematical questions in 2 days.

Step-by-step explanation:

A. (x+7)^2 -12=0

Answer:

6 & 5

Step-by-step explanation:

Daniel and his friends go to an amusement park to get on the fireball that costs $ 5 and the bumper cars cost $ 1 less. If Daniel climbs a total of 11 times and spends $ 50, how many times did he go up to each attraction?

costo de la bola de fuego: $5

costo de los coches de choque: 5 - 2 = $4

número de veces que montó bola de fuego = b

número de veces que montó de choque: m

b + m = 11 --> b = 11 - m

5b + 4m = 50

5(11 - m) + 4m = 50

55 - 5m + 4m = 50

m = 5

b + 5 = 11

b = 6

Answer:

100

Step-by-step explanation:

The given equation is;

–m + 0.02 + 2.1m = –1.45 – 4.81m

The highest decimal places is 2.

This implies that, we must multiply each term of the equation by [tex]10^2=100[/tex] before solving in order to eliminate the decimal.

In that case the equation becomes;

–100m + 2 + 210m = –145 – 481m

Hence the number is 100

Answer:

easy answer 100

Step-by-step explanation:

Answer:

[tex]48x^3+76x^2+78x+40[/tex]

Step-by-step explanation:

[tex](8x^2+6x+8)(6x+5)\\\\48x^3+36x^2+48x+40x^2+30x+40[/tex]

Now that we have distributed the values, we must now combine like terms

[tex]48x^3+36x^2+48x+40x^2+30x+40\\\\48x^3+(36x^2+40x^2)+(48x+30x)+40\\\\48x^3+76x^2+78x+40[/tex]

Answer: 48x^3 -4x^2 + 18x -40

Step-by-step explanation: multiply 8x^2 by 6x and -5 ➡ 48x^3 - 40x^2

multiply 6x by 6x and -5 ➡ 36x^2 -30x

multiply 8 by 6x and -5 ➡ 48x -40

now add the like terms

48x^3 - 40x^2 + 36x^2 -30x + 48x -40 ➡48x^3 -4x^2 + 18x -40

Answer: 39s(9s-5)

Step-by-step explanation:

(3s*13) (9s-5)

remove the parenthesis ex: (a)=a

3s*13 (9s-5)

Multiply the numbers

39s(9s-5)

Step-by-step explanation:

[tex](3s^{13})(9s-5)\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\=(3s^{13})(9s)-(3s^{13})(5)\\\\=27s^{14}-15s^{13}[/tex]

Answer: 5

Step-by-step explanation: The dot in the middle of the circle is the center point of the circle. This means that it bisects every point from one edge to the other cutting through the middle. The two vertical red lines in the middle of the circle indicate they are the same measure. knowing this and that the angle interiors are 90 degrees, we can conclude that x is the same length as the 5 diagonal from it.  

Answe is 5..

The (.) is the center of the circle..

The (|) mesns these lines are equal..

The angles also are right angles and equal..

Means the length ofvthis line also equals the other line = 5

Final answer:

Logan can read 80 pages in 2 hours.

Explanation:

To find out how many pages Logan can read in 2 hours, we need to calculate the total number of minutes in 2 hours, which is 120 minutes. Then, we can multiply the rate at which Logan reads, which is 2/3 page per minute, by the total number of minutes to get the answer.

So, Logan can read:
(2/3) x 120 = 80 pages

Therefore, Logan can read 80 pages in 2 hours.

Answer:

I believe the answer is C

Hope This Helps!  Have A Nice Day!!

Answer:

y= 2

Step-by-step explanation:

Answer:

I'm not sure if your asking for an entire equation but the points for the vertex would be (-3,-4)

ANSWER

[tex]y = - 3( {x + 3)}^{2} - 4[/tex]

EXPLANATION

The given function is

[tex]y = - 3 {x}^{2} - 18x - 31[/tex]

Factor -3

[tex]y = - 3( {x}^{2} + 6x) - 31[/tex]

Add and subtract the square of half the coefficient of x.

[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) - - 3( {3)}^{2} - 31[/tex]

[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) + 27 - 31[/tex]

Apply perfect squares,

[tex]y = - 3( {x +3)}^{2} - 4[/tex]

The vertex form is:

[tex]y = - 3( {x +3)}^{2} - 4[/tex]

Answer:

For 3 people Kevin would need 90g of strawberry jelly, 6 sponge fingers, 315ml of custard and 135g of tinned fruit.

Step-by-step explanation:

To work this out you would need to work out how many ingredients would be needed for 1 person, so you would need to divide each ingredient amounts by 4. (For example for the strawberry jelly you would do 120÷4 which is 30).

Then, to work out how many ingredients would be needed for 3 people you would need to multiply the ingredient amounts by 3. (Like 30×3 is 90).

Answer:

choice D) 42 is the final answer.

Step-by-step explanation:

Population of the school = 350

Debra finds that the probability that a student has more than three siblings is [tex]=\left(\frac{3}{25}\right)[/tex]

Then the number of students that we expect to have more than three siblings, based on Debra's experiment [tex]=350\cdot\left(\frac{3}{25}\right)[/tex]

[tex]=\left(\frac{1050}{25}\right)[/tex]

[tex]=42[/tex]

Hence choice D) 42 is the final answer.

Answer:

45 cm^2

Step-by-step explanation:

The formula you have written in pencil is correct.

Area = B*H

B = 9

H = 5

Area = 5*9

Area = 45 cm^2

Answer:

9.852 x 10 is the same outcome of 98.52/10. Can I have the brainliest answer?

Hope this helped!!!! :) <3 have a good day ma dude

9.852

but 9.8 if ya want to keep it short.

It just makes sense ¯\_(ツ)_/¯

Answer:

A. all real numbers

Step-by-step explanation:

The range of the function y=cot(x) is (A) all real numbers.

Answer:

A

Step-by-step explanation:

I don't think you need this

Answer:

option A

Step-by-stevvp explanation:

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

The formula is used to find the distance between two points

(x2-x1) gives the length of one leg

(y2-y1) gives the length of another leg

In a right angle triangle , Pythagorean theorem is [tex]c=\sqrt{a^2 + b^2}[/tex]

where a and b represents the sides of the triangle

Each subtraction expression in the formula represents the leg of the right angle triangle with the hypotenuse of length d

1*3=3

99/3= 33

1*3*33=99

Answer:33in

Answer:

Step-by-step explanation:

I take it that the base of the log is 4.

So the question can be written as

log_4 [(x+2)/(x + 3)] = -1

If you take the antilog of this, you get

(x + 2)/(x+3) = 4^-1 = 1/4

Now Cross Multiply

4*(x + 2) = 1*(x + 3)               Remove  the brackets on both sides

4x + 8 = x + 3                       subtract x from both sides.

4x - x + 8 = x - x + 3             Combine

3x + 8 = 3                             Subtract 8 from both sides

3x = 3 - 8                              Combine

3x = - 5                                 Divide by 3

x = - 5/3

Answer:32 degrees

Step-by-step explanation:a triangle total is 180 degrees. So subtract 116 and 32 by 180 to get 32

Answer: 32°

Step-by-step explanation: Hello There! The Answer is 32°. This is because when we add up 116° and 32° we get 148° to get the Answer we subtract 148° from 180° and we get a difference of 32°.