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Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Answer:

q = M - 3p

Step-by-step explanation:

M = q+3p

to isolate q on one side, we need to remove 3p with subtraction, since it is the opposite of addition.

M-3p = q

Answer:

q=m-3p

Step-by-step explanation:

m=q+3p

-3p. -3p

-3p+m=q

Answer:

104 degrees

Step-by-step explanation:

360-76(2)= 208

208 divided by 2= 104 degrees

The height of the tree to the nearest hundredth of a meter is 2.5

The height of the tree is calculated form the ratio of the proportions of Guadalupe's height and shadow to the ratio of the tree's height and shadow

this is written mathematically as

Guadalupe's height / Guadalupe's shadow = tree's height / tree's shadow

substituting the values and solving

1.75 / 12.8 = tree's height / 18.25

cross multiplying

12.8 * tree's height = 1. 75 * 18.25

tree's height = 31.9375 / 12.8

tree's height = 2.495

tree's height ≈ 2.5 m

the tree is about 2.5 meters tall

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Answer:

undefined

Step-by-step explanation:

division by zero is undefined

Division Property of zero

For any nonzero real number a

The quotient of "a" and 0 is undefined. That is a/0 is undefined

Answer:

m = dv

Step-by-step explanation:

\(\\\\d=\frac{m}{v} \\\\\d*v=\frac{m}{v} *v\\dv=m\)

What you just do is multiply v on both sides so m can be isolated.

Answer:

Angle 13 and Angle 9 are congruent.

Answer:

cars weighed the most per item and desks the least

Answer:

the correct answer is c)2,7,12

We know that the sum of the angles of a triangle must be 180°. Let's call the first, second, and third angles A, B, and C respectively. Therefore, we have as follows:

Therefore, we can now replace the equation that stated the sum and find the value of A as follows:

Now that we have the measure of angle A, we can find the other two, as follows:

Therefore, the first angle measures 44°, the second one 48°, and the third one 88°. We can verify if it is correct by making sure that the sum is 180.

The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:

B. 1 real root and 2 complex roots.

The function in this problem is defined as follows:

F(x) = x³ + 2x² + 4x + 8.

The function is of the third degree, hence the total number of zeros of the function is of 3.

From the graph, the function has only one x-intercept, which is given as follows:

x = -2.

Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.

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Answer:

Each bag had weighed about 1 1/2 (or 1.5) pounds.

Step-by-step explanation:

6 divided by 4 should end in a result of the unit weight 1.5 lbs.

Answer:

3, 4

Step-by-step explanation:

i divided 6 and 8 by 2 and got 3,4

boom magic

Answer:

a = 2

Step-by-step explanation:

Given the expression:

\(2111_{four} = 150\)

This can be expressed as:

\((2*4^3)+(1*4^2)+(1*4^1)+(a*4^0) = 150\\128+16+4+a = 180\\148 + a = 150\\a = 150 - 148\\a = 2\)

Hence the value of a is 2

Answer:

cộng vế theo vế ta đc :

-2x=-4<=>x=2

thay x=2 vào 1 trong 2 ptrình ta đc: y=-5

Answer:

6

Step-by-step explanation:

The interquartile range is calculated by subtracting the first quartile from the third quartile. Box and whisker plots make it pretty easy to find the quartiles. The first quartile is the point where the box starts, and the third is where the box ends. The second is the median/line in the middle of the box.

So for that first box plot on the top, the first quartile is 7, because that's where the box begins. The third quartile is 22 because it's where the box ends.

For the second one, the first quartile is 8 and the third is 17.

To find the interquartile range of each, subtract the first quartile from the third. 22-7 = 15 and 17-8 = 9.

Now to find the difference in the interquartile ranges, subtract 9 from 15. You get 6, so that is the answer :)

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

The total ticket were sold this year is 39  tickets.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The circle graph shows last year's ticket sales with a total of 842 tickets.

Adults =4%

Students =17%

Children Under 12 =55%

Seniors =24%

This year 22 more tickets were sold to seniors.

According to given question we have

Ticket sold to the senior

=24% *842

= 202.08  tickets.

Tickets were sold this year

= 202.08/12  tickets.

=16.84  tickets.

This year 22 more tickets were sold to  seniors

=16.84  tickets+22 tickets

=38.84 ≈39  tickets

Therefore, the total ticket were sold this year is 39  tickets.

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Answer: only Kayla

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct choice is 3.

Answer:

3808

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

I did the quiz on Edge 2021 and got it right with 100%.

Please give me brainliest!

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

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Answer:

4 sticks of clay

Step-by-step explanation:

To find the total amount of clay needed, multiply the number of students by the amount need for each one of them.

\(16\) · \(\frac{1}{4}\)

Multiply these by converting 16 into a fraction.

\(\frac{16}{1}\) · \(\frac{1}{4}\)

Multiply the numerators and denominators across.

\(\frac{16}{1}\) · \(\frac{1}{4}=\frac{16}{4}\)

Simplify this.

\(\frac{16}{4} =4\)

The total amount of clay needed is 4 sticks.

I hope this helps :) Good luck ^^

Answer:

1/16cups

Step-by-step explanation:

4 people needs 1/4 cups of vinegar.

4/4 =1 people needs 1/16 cups of vinegar. ANS