500 is 10 times smaller than what?​

Answer:

x = - 5 , x = 7

Step-by-step explanation:

to find the zeros, let y = 0 , that is

x² - 2x - 35 = 0

consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

the factors are - 7 and + 5 , since

- 7 × + 5 = - 35 and - 7 + 5 = - 2 , then

x² - 2x - 35 = (x - 7)(x + 5) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

Answer:

1365 + 1/3 or

1365.3333

Step-by-step explanation:

64^2/3=

4096/3=

1365 + 1/3

There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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Answer:

HL

Step-by-step explanation:

It give you that the hypotenuse and one leg is congruent

Work Shown:

4.5% of 125 = 0.045*125 = 5.625

That rounds to 5.63

Answer:

5.625

Step-by-step explanation:

Answer:

(3f)-7

Step-by-step explanation:

Answer:

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

Supplementary angles add up to 180°:

Substitute and solve for x:

Find the measure of ∠B:

Answer:

78.962

Step-by-step explanation:

its just moving the decimal

The graphs of f(x) and g(x) are related by transforming one of the two graphs.

The equation of the blue graph is \(\mathbf{g(x) =(x - 4)^2}\)

From the graphs, we have:

\(\mathbf{f(x) =x^2}\)

f(x) is transformed to the right by 4 units.

The rule of this transformation is:

\(\mathbf{g(x) \to f(x - 4)}\)

So, we start by calculating f(x - 4)

Given that:

\(\mathbf{f(x) =x^2}\)

Substitute x - 4 for x in f(x)

\(\mathbf{f(x - 4) =(x - 4)^2}\)

Also, recall that:

\(\mathbf{g(x) \to f(x - 4)}\)

So, we have:

\(\mathbf{g(x) =(x - 4)^2}\)

Hence, the equation of g(x) is \(\mathbf{g(x) =(x - 4)^2}\)

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Answer:

a quadrilateral with double arrows going in the same direction for one pair of the opposite sides

Step-by-step explanation:

A trapezoid has 1 pair of opposite sides parallel, and one pair of opposite sides not parallel.

Answer: a quadrilateral with double arrows going in the same direction for one pair of the opposite sides

Answer: 0.4714

Step-by-step explanation: square root of 8 is 2.8284 divided by 6 = 0.4714.

\( \frac{6}{ \sqrt{8x} } \\ \frac{ {6}^{2} }{ {( \sqrt{8x)} }^{2} } \\ \\ \frac{36}{8x} \\ \ \\ \frac{36 \div 4}{8x \div 4} \\ \\ \frac{9}{2x} \)

this is one of the ways to simplify it

you can divide 9 by 2 the answer will be 4.5x

Answer:

x=1

y=-5

P.S. hope it helped. If you have any questions, I'll be glad to answer them.❤

The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.

The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.

In other words, a set is inductive if it satisfies the following two conditions:

The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.

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Answer:

A

Step-by-step explanation:

Answer:

A is in fact correct.

Step-by-step explanation:

Answer:

look at the photo..............

9514 1404 393

Answer:

  log₅(21) = log₅(3) +log₅(7)

Step-by-step explanation:

The relevant relation is ...

  log(ab) = log(a) +log(b)

where the logs have any consistent base.

__

Here, we have ,,,

  ab = 21 = 3·7.

Then ...

  log(21) = log(3) +log(7)

When the logs are to base 5, that becomes ...

  log₅(21) = log₅(3) +log₅(7)

Answer:

23x+250 and that would equal your total cost

Answer:

the answer is C

Step-by-step explanation:

Answer:

38 stduentstudents

Step-by-step explanation:

2(100)=$200, if 100 students attend.

38(2)=$76

Breaking even means getting back the same amount you spent. The exact answer would be 37.5, but you can't have half a student.

Answer:

114.29

Step-by-step explanation:

The order of the probabilities from the highest to the least would be

4 > 2 > 3 > 5 >1. This tells us tgat the highest probability is number 4 while the lowest is 1.

In mathematics, this is the concept that is used to talk about the likelihood of having an event occurring.

The probability of these items have been calculated below

1. Winning the Lottery

probability = 1/49P6

= 0.00000000009932

2. Rolling a 7:

we have to find the group of 7's

= (2,5) (1,6), (3,4), (4, 3), (6,1), (5,2)

= 6/36 = 0.1666

3. Drawing the Ace of Spade

1/52 = 0.019

4. 2 Heads in a Row:

1/2 x 1/2

= 0.25

5. Marbles:

3 + 4+ 5 = 12

3/12 * 3/12 * 3/12

= 0.01562

Hence the order of the probabilities from the highest to the least would be

4 > 2 > 3 > 5 >1

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Answer:

4

Step-by-step explanation:

2 squared is 4

4 square rooted 2

Its not odd

counter example

Answer:

24

Step-by-step explanation:

Here, we want to represent the total cost for the two-day field trip of the science club. if we let x be the number of members in the club, We then come up with the following expressions

For day 1:  $60+$20x

For day 2: $100+$17x

Therefore, the cost of c for the two-day field trip is just the sum of equations 1 and 2 that is,

C= Cost for day 1 + cost for day 2

C= $60+ $20x + $100+ 17x

combine like terms to get

$80+$117x

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

12

Step-by-step explanation:

Multiply 80 by .15

it is 12............ :))

The correct options include:

b. In the fifth year Mariah's balance will be higher than Colton's

c. Mariahs beginning balance was 400 and coltons beginning balance was 500.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, from the table

(0, 500), (1, 550), (2, 600), (3, 650) and (4, 700)

The equations for the given points is y=500+50t

Put t=0, 1, 2, 3, 4 in f(t)=400(1.15)t

When t=0, f(0)=$0

When t=1,

f(1)=400×1.15×1

= $460

When t=2,

f(2)=400×1.15×2

= $920

When t=3,

f(3)=400×1.15×3

= $1380

When t=4,

f(4)=400×1.15×4

= $1840

Fifth year:

The balance in Mariah account is

f(t)=400(1.15)t

⇒ f(5)=400×1.15×5

= $2300

The balance in Colton account is

y=500+50t

⇒ y=500+50(5)

= $750

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Answer:

x = -14

Step-by-step explanation:

(x+1)² + 120 = (x-3)²

expand each binomial:

x² + 2x + 1 + 120 = x² -6x + 9

combine 'like terms' to simplify:

8x = -112

x = -14

Answer:

\(\displaystyle 4\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = 4x

Interval [1, 5]

Step 2: Find Change