simplify expression 7yz / -2
A -7/2 z

B-7/2 y

C 7/2 y

D 7/2 z

Answer:

60%

Step-by-step explanation:

Let the total number of people polled to vote be 1000

80% said they would vote for him

That is 800

20% said they would not vote for him

That is 200

Out of the 800, 70% actually voted

That will be ;

70/100 * 80 = 560

Also, 20% of the 200 that said they would not vote actually voted

That will be ;

20/100 * 200 = 40

Total is thus;

569 + 40 = 600

% is 600/1000 = 60%

Answer:

(-10) + 3

Step-by-step explanation:

hopefully it helped

Answer:

[tex]\sin 2A + \csc 2A = 2.122[/tex]

Step-by-step explanation:

Let [tex]f(A) = \sin A + \csc A[/tex], we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

[tex]\csc A = \frac{1}{\sin A}[/tex] (1)

[tex]\sin^{2}A +\cos^{2}A = 1[/tex] (2)

Now we perform the operations: [tex]f(A) = 3[/tex]

[tex]\sin A + \csc A = 3[/tex]

[tex]\sin A + \frac{1}{\sin A} = 3[/tex]

[tex]\sin ^{2}A + 1 = 3\cdot \sin A[/tex]

[tex]\sin^{2}A -3\cdot \sin A +1 = 0[/tex] (3)

By the quadratic formula, we find the following solutions:

[tex]\sin A_{1} \approx 2.618[/tex] and [tex]\sin A_{2} \approx 0.382[/tex]

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

[tex]\sin A \approx 0.382[/tex]

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

[tex]A \approx 22.457^{\circ}[/tex]

Then, the values of the cosine associated with that angle is:

[tex]\cos A \approx 0.924[/tex]

Now, we have that [tex]f(A) = \sin 2A +\csc2A[/tex], we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

[tex]\sin 2A = 2\cdot \sin A\cdot \cos A[/tex] (4)

[tex]\csc 2A = \frac{1}{\sin 2A}[/tex] (5)

[tex]f(A) = \sin 2A + \csc 2A[/tex]

[tex]f(A) = \sin 2A + \frac{1}{\sin 2A}[/tex]

[tex]f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}[/tex]

[tex]f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}[/tex]

If we know that [tex]\sin A \approx 0.382[/tex] and [tex]\cos A \approx 0.924[/tex], then the value of the function is:

[tex]f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}[/tex]

[tex]f(A) = 2.122[/tex]

Answer:

The correct options for the solution values are:

Step-by-step explanation:

Given the expression

[tex]x^2+10x+25=8[/tex]

Subtract 25 from both sides

[tex]x^2+10x+25-25=8-25[/tex]

Simplify

[tex]x^2+10x=-17[/tex]

Add 25 or 5² to both sides

[tex]x^2+10x+5^2=8[/tex]

as

[tex]x^2+10x+5^2=\left(x+5\right)^2[/tex]

so the expression becomes

[tex]\left(x+5\right)^2=8[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

[tex]x+5=\sqrt{8}[/tex]

Subtract 5 from both sides

[tex]x+5-5=2\sqrt{2}-5[/tex]

[tex]x=2\sqrt{2}-5[/tex]

solve

[tex]x+5=-\sqrt{8}[/tex]

Subtract 5 from both sides

[tex]x+5-5=-2\sqrt{2}-5[/tex]

[tex]x=-2\sqrt{2}-5[/tex]

Therefore, the solution to the equation

[tex]x=2\sqrt{2}-5,\:x=-2\sqrt{2}-5[/tex]

Hence, the correct options for the solution values are:

Answer:it is 180

Step-by-step explanation:

Answer:

Cost of each ticket per person = $42

For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group.

Marco's ticket cost $30.

This means he paid 42-30=12 dollars less.

Now when there are 8 members, the cost decreases by $3.

So, $12 will decrease, when there will be  members

I hope this helps! Have an awesome day!

Answer:

The answer is there are 32 people in this group

Step-by-step explanation:

here is proof work if you need it:

Answer:

both angles are acute

Step-by-step explanation:

Answer:

2(5x – 1)

Step-by-step explanation:

Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

[tex]2x+3y=3.30[/tex]          ...(i)

Cost of five donuts and two cookies = $4.95

[tex]5x+2y=4.95[/tex]          ...(ii)

Multiply equation (i) by 2.

[tex]4x+6y=6.60[/tex]          ...(iii)

Multiply equation (ii) by 3.

[tex]15x+6y=14.85[/tex]      ...(iv)

Subtracting (iii) from (iv), we get

[tex]15x+6y-4x-6y=14.85-6.60[/tex]

[tex]11x=8.25[/tex]

Divide both sides by 11.

[tex]x=\dfrac{8.25}{11}[/tex]

[tex]x=0.75[/tex]

Therefore, the cost of each donut is $0.75.

Answer:

Domain: -3<=x<4

Range:-1<=y<-3

(can I get brainliest please)

Answer:

range: [-3,-1) domain: [4,-3); idrk know the second one srry.

Step-by-step explanation:

The solution is : (f + g)(x) = x² + 4x - 4 ⇒ B, is the required function.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Let us solve the question

∵ f(x) = 4x + 4

∵ g(x) = x² - 6

→ We need to find (f + g)(x) which means f(x) + g(x)

∴ (f + g)(x) = f(x) + g(x)

∵ f(x) + g(x) = (4x + 2) + (x² - 6)

∴ f(x) + g(x) = 4x + 2 + x² - 6

→ Add the like terms

∵ f(x) + g(x) = 4x + x² + (2 - 6)

∴ f(x) + g(x) = 4x + x² + (-4)

→ Remember (+)(-) = (-)

∴ f(x) + g(x) = 4x + x² - 4

→ Arrange the terms from greatest power of x

∴ f(x) + g(x) = x² + 4x - 4

∴ (f + g)(x) = x² + 4x - 4,  is the required function.

To learn more on function click:

brainly.com/question/21145944

#SPJ7

Answer:

7

Step-by-step explanation:

Answer:

B. 39°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Step-by-step explanation:

Step 1: Identify

Angle θ = y

Opposite Leg = 8

Adjacent Leg = 10

Step 2: Solve for y

Answer:

70 heartbeats per second

Step-by-step explanation:

Answer:

$4.69

Step-by-step explanation:

$11.96/4 (because he bought 4 candles)

$2.99

each candle was $2.99 at the sale price

Now because the question is only asking for the amount of 1 candle before the sell price all you have to do is add $1.70 to $2.99 and you have your answer. Hope this helps!

Answer:

look below

Step-by-step explanation:

I think the answer is for A 12mm because there is a -3 in the spot and you have 15 mm and for B 17mm because you still have that 15mm but this time you have a +2  

I think this might be the answer I am kind of good at math but I don't really know this one sorry if I get it wrong

Answer:

A. 24  

Step-by-step explanation:

If we have two digits to multiply together, the multiplication of the individual digit of those number with each other whereby each digit retain its place is known as partial product.

From the given question, by applying the distributive property method, the partial products are:

24 × 69 = 24 × (60 + 9)  

open brackets

= (24 × 60) + (24 × 9)

By factorization

= 60 (20 + 4) + 9(20 + 4)

expanding the brackets, we get:

= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)

= 1200 + 240 + 180 + 36   (These are the partial products)

= 1656

Answer:

-2.5 km

Step-by-step explanation:

80 - 45= 35

35 / 14 sec. = 2.5

So if your decreasing it would turn that 2.5 into a negative.

Answer:

6.862035456*10^26 m/s^2

Step-by-step explanation:

We know that:

m=70kg

M=Mass of earth=5.98*10^24kg

R=Distance between object's and earth's center=6.38*10^6m

G=6.6726*10^-11 N/m/kg^2

Thus, we can use the equation [tex]F_g=\frac{GmM}{R^2}\\[/tex]:

[tex]F_g=\frac{(6.6726*10^-11)(70)(5.98*10^{24})}{(6.38*10^{-6})^2}\\\\F_g=6.862035456*10^{26}[/tex]

This means the force of gravitational attractions is 6.862035456*10^26 m/s^2

Answer:

The hundreds place

Step-by-step explanation:

If you divide it

it would start out on the 4

Which is the hundreds Place

Answer:

Step-by-step explanation:

The correct option is C.

Step-by-step explanation:

The width of the rectangular pen is

The length of the rectangular pen is

The perimeter of a rectangle is

Therefore the correct option is C.

Answer:

1) x = -2.5

2) x = 21 1/3

3) x = 12

4) x = 4

5) y = 40.5

Step-by-step explanation:

Answer:

1) x = -2.5

2) x = 21 1/3

3) x = 12

4) x = 4

5) y = 40.5

Give the person above a brainliest

Answer:

3x²y==

Step-by-step explanation:

Multiple the number

Answer:

K = ½

Equation: y = ½x

Step-by-step explanation:

✔️Constant of proportionality (k) = y/x

Using a point on the line, (2, 1),

k = ½

✔️Equation of a proportional relationship would be in the form of y = kx

To write an equation, substitute k = ½, into y = kx

Thus:

y = ½x

Answer:

x = - 3

Step-by-step explanation:

g(x) = 4x + 1...... (1)

g(x) = -11.... (2)

From equations (1) & (2)

-11 = 4x + 1

-11 - 1 = 4x

-12 = 4x

-12/4 = x

-3 = x

x = - 3

Answer:

Step-by-step explanation:

according to the question

the equation is

[tex] \tan(45 {}^{o} ) = \frac{x}{6} [/tex]

[tex]1 = \frac{x}{6} [/tex]

[tex]x = 6[/tex]