-10+3m+5 can someone please help me do two step equations

Answer:

y=9x (O 1)

Step-by-step explanation:

9 times the number of gifts he bought which lets say is x will equal your answer (y).

Answer:

She buys 9 adult tickets and 4

Step-by-step explanation:

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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There is a 46.7% increase in the number of bracelets made.

A percentage is a number or ratio that can be expressed as a fraction of 100 (100 as denominator). To calculate percent of a number, divide the number by the whole and multiply by 100.

Hence, it means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Maysol made;

This month = 75 bracelets

Last month = 40 bracelets

Change = 75 - 40

Change = 35

This means there was an increase

% increase = (35/75) x 100

% increase = 46.7%

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Answer:

We conclude that:

The average rate = -1

Step-by-step explanation:

We need to find the Average Rate of Change from x = -2 to x = 1.

From the table it is clear that:

at x₁ = -2, f(x₁) = 3

at x₂ = 1,  f(x₂) = 0

The formula to determine the average rate of change from x = -2 to x = 1.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [0 - 3] / [1-(-2)]

                      = -3 / 3

                      = -1

Therefore, we conclude that:

The average rate = -1

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

Step-by-step explanation: 37/56

Step-by-step explanation:

\(a = \pi {r}^{2} \\ a = \pi {5}^{2} = 78.5 \: {in}^{2} \)

Answer:

The area of this circle is 78.5

Step-by-step explanation:

The area of a circle can be calculated with the equation πr². r stands for "radius", the distance between the center of the circle to any point of its edge which also equals to half of a circles diameter. Since the diameter of this circle is 10 in., its radius is

\(r = d/2 = 10/2 = 5\\\)

Then, we use this to find the area

Area =\(\pi r^2=\pi (5)^2=25\pi=78.5\) (rounded to the first decimal place)

Answer:

5 hours; 4x+10=32

Step-by-step explanation:

4x = 4 multiplied by the amount of hours

10 = the cost for the lock

so y = 4x+10

In this case y= 32 so plug it in

4x+10=32

    -10  -10

4x=22

/4   /4

x=5.5

So assuming you can only rent whole hours, it would be 5 hours

Hope this helps.

Answer:

he can rent the bike for 5 hours

Step-by-step explanation:

32-10=22

22*4=5

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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Answer:

I brlive the answer is B.........

Answer:

The answer is C) ASA

Step-by-step explanation:

This triangle is ASA because it has two congruent angles shown in the diagram. All of the other answers have none or one. Therefore, it is ASA.

The fractions as 50/15 and 6/15, respectively, and subtract them to obtain w = 44/15. This can be further simplified to the mixed number 2 14/15 or the decimal approximation 2.933.

To solve the equation w + 2/5 = 3 1/3, we need to isolate w on one side of the equation by subtracting 2/5 from both sides, finding a common denominator, and simplifying the resulting expression to obtain w.

w + 2/5 = 10/3

To isolate w, we need to move the constant term on the right-hand side of the equation to the left-hand side by subtracting 2/5 from both sides.

Subtracting 2/5 from both sides:

w = 10/3 - 2/5

To add these fractions, we need to find a common denominator, which is 15. So we can rewrite the fractions as:

w = (50/15) - (6/15)

Combining like terms:

w = 44/15

Therefore, w = 2 14/15 or approximately 2.933.

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Answer:

D) X-12

Step-by-step explanation:

imagine that X = 2 or any number less than 12

A) 12 - X = 12 - 2 = 10

B) 12X = 12 ×2 = 24

C) X + 12 = 2 + 12 = 14

D) X - 12 = 2 - 12 = -10

So, the smallest number is (D)

Hope it's help.

Answer:$2094.00

Step-by-step explanation:Put in desmos calculator and put 4.7 percent of 2000 and you get 94 then add 94 to 2000 and you got $2094

Answer:

Answer:

D. (-2,-5), (0, -7), (1, -4)

Step-by-step explanation:

From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of , which are: ,  and .

Then we proceed to find all elements of range:

Which corresponds to option D.

Step-by-step explanation:

The value of angle LAF in the intersecting chords is determined as  104⁰.

The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

m∠LAF = ¹/₂ (arc LF + arc YS)

From the diagram, we have arc LF = 160⁰ and YS = 48⁰

m∠LAF = ¹/₂ (160 + 48)

m∠LAF = 104⁰

Thus, the value of angle LAF is calculated by applying intersecting chord theorem.

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Answer:

.333 pounds hope this helps

Answer:

t = 2 and t = 3.

Step-by-step explanation:

To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:

2^t = 4Taking the logarithm base 2 of both sides:

t = log2(4)

t = 2For u = 8:

2^t = 8Taking the logarithm base 2 of both sides:

t = log2(8)

t = 3

Pie graphs can be used to display percentages of an entire group and depict percentages at a certain moment. Customers contacted via the web = x(let) then.as a result, customers contacted online (chart = x = 100), 25 customers were reached by social media, or x/4

Pie charts can be used to show percentages for the whole group or for a specific time period.

In contrast to bar and line graphs, pie charts do not show changes over time.

The following pages provide descriptions of the various pie chart elements.

Since the slices of a pie chart represent different parts of the whole, their sum must always equal 100%.

Number of customers overall = 250 clients were contacted via email for every 500 customers contacted via phone, or 50% of phone contacts.

=(50÷100)×250

=125

Customers reached via social media

= total customers + 250 + 125 + x+1 = 500 x+1

=125 × 5

T=125

x=100.

Customers contacted via the web = x(let) then.

as a result, customers contacted online (chart = x = 100)

25 customers were reached by social media, or x/4

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Answer:

C

Step-by-step explanation:

You were on the right track, but 3-2 = 1, so the exponent of (x-4) is 1.

Answer:

C and B

Step-by-step explanation:

(6)

\(\frac{(x-4)^3(3x+6)}{(x-4)^2}\)

Cancel (x - 4)³ on numerator with (x - 4)² on denominator

leaving (x - 4) on numerator and 1 on denominator

= (x - 4)(3x + 6) → C

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

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , then

4a² × 7\(a^{\frac{1}{2} }\)

= 4 × 7 × a² × \(a^{\frac{1}{2} }\)

= 28 × \(a^{\frac{4}{2} }\) × \(a^{\frac{1}{2} }\)

= 28 × \(a^{(\frac{4}{2}+\frac{1}{2}) }\)

= 28\(a^{\frac{5}{2} }\) → B

Frank's expected utility of wealth function if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)). If Frank accepts the bet, the probability p must be greater than or equal to 0.8.

a) Frank's expected utility of wealth if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000))

b) If Frank rejects the bet, his utility of wealth will be U(w) = ln($1,000,000)

c) U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000)

p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000) - $1,000,000

p(ln($100,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000

p(ln($100,000) - ln($1,000,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000

p(ln($100,000/$1,000,000)) + (1-p)(ln($900,000/$1,000,000)) ≥ -$1,000,000

p(ln(0.1)) + (1-p)(ln(0.9)) ≥ -$1,000,000

p(ln(0.1)) ≥ -$1,000,000 - (1-p)(ln(0.9))

p ≥ (-$1,000,000 - (1-p)(ln(0.9)))/(ln(0.1))

p ≥ -$1,000,000/(ln(0.1)) - (1-p)(ln(0.9))/ln(0.1)

p ≥ 0.8

d) If Frank's utility of wealth function was less curved, i.e. closer to a straight line, the bound from (c) would be larger. This is because, with a less curved utility of wealth function, Frank would be less risk-averse and therefore more likely to accept the bet.

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Solution:

Part A:

The image of the regular polygon given is an octagon.

An octagon is a polygon with 8 sides.

To calculate the area of a regular polygon, the polygon is split into triangles and the area of triangles is summed up to get the area of the polygon.

Therefore, the area of the regular polygon (octagon) is;

Part B:

To solve for the formula for the height h, we make h the subject of the formula;

Therefore, the height is;

It would be 89.

You can also just look up a list of prime numbers online.

Answer:

P(A n B) = 0

Step-by-step explanation:

Given

\(A \to\) Traces of TNT detected

\(B \to\) No traces of TNT

Required

Probability of false positive

From the question, we understand that A and B must occur to get a positive and the result is 0.

The probability of A and B is represented as: P(A n B)

Include the result (0), we get:

P(A n B) = 0

Answer:

  24

Step-by-step explanation:

You want the value of the product ...

  (√14 + √10i)(√14 - √10i)

The factoring of the difference of squares is ...

  a² -b² = (a +b)(a -b)

Here, we have a=√14 and b=√10i. The product of the sum and difference of these values is ...

  (√14 + √10i)(√14 - √10i) = (√14)² -(√10i)²

  = 14 -(10(-1)) = 24

The product is 24.

Answer:

Step-by-step explanation:

the consecutive numbers can be represented by (n-1), n, and (n+1), where n is an integer.

(n-1) + n + (n+1) = 201

3n = 201

n = 67

66, 67, 68

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Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the combination formula is used to solve this question.

Combination formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem:

\(T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200\)

She can select the shirts in 775,200 ways.

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