Solve the equation 1/2y+3/4=8

Answer:$262.50

Step-by-step explanation:3500x.075=262.5

Answer:

3/8

Step-by-step explanation:

1. Find the LCM for the denominator: 5/8-2/8

2. subtract the numerator: 3/8

Answer:

The answer is 3/5

Step-by-step explanation:

You have to find the LCM

Then you have to subtract the numerator.

Answer:

PQ = 12 + y + 3y = 28

y = 4

Step-by-step explanation:

PQ = 12 + y + 3y = 28

12 + 4y = 28

       4y = 16

         y = 4

The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134

In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.

We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.

Given, μ = 12, σ = 8, n = 4

P(X > 8)

= P(z > (8 - 12 / 8/√4))

= P(z > -1)

= 1 - P(z ≤ -1)

= 1 - [1 - P(z ≤ 1)]

=  P(z ≤ 1)

= 0.84134

Therefore, the required probability is 0.84134

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Answer:

B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

Therefore, the square root of the given number \(\sqrt1444 = 38.\)

The square root of a number is a value that, when multiplied by itself, gives the original number.

When we talk about the square root of a number, we're looking for a quantity that, when multiplied by itself, equals the original number. It's like asking, "what number of times itself gives me this number?" In your case, the number is 1444.

The mathematical symbol for square root is √. So, when we write √1444, we're asking, "what number times itself gives me 1444?"

Through mathematical calculation or reference tables, we find that 38*38 equals 1444.

In the case of 1444, the square root is 38.

This is because 38*38 equals 1444.

Therefore, \(\sqrt1444 = 38.\)

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\(_{12}C_4=\dfrac{12!}{4!8!}=\dfrac{9\cdot10\cdot11\cdot12}{2\cdot3\cdot4}=495\)

Answer:

12

Step-by-step explanation:

Looking for LCM of 4 2 and 3    <==== this is 12

To find \(\(g'(1.5)\)\), we need to calculate the derivative of the function \(\(g(x)=|2-x|+|(x-1)(x-2)|\)\) and evaluate it at \(\(x=1.5\)\).

The given function \(\(g(x)\)\) is a combination of two absolute value functions. We can find the derivative of \(\(g(x)\)\) by considering the cases where the argument of the absolute value function changes sign. Let's break down the function \(\(g(x)\)\) into its constituent parts:

For \(\(x < 2\), \(g(x) = (2-x) + (x-1)(x-2) = -x^2 + 4x - 1\)\). Taking the derivative of this expression yields \(\(g'(x) = -2x + 4\)\).

For \(\(x > 2\), \(g(x) = (2-x) + (x-1)(2-x) = -x^2 + 4x - 3\)\). The derivative of this expression is \(\(g'(x) = -2x + 4\).\)

At \(\(x=2\)\), both expressions meet, resulting in a kink. However, since we are interested in \(\(g'(1.5)\)\), we only need to consider the left side of \(\(x=2\)\). Hence, \(\(g'(1.5) = -2(1.5) + 4 = 1\)\).

Therefore, \(\(g'(1.5) = 1\),\) indicating that the slope of the function \(\(g(x)\)\) at \(\(x=1.5\)\) is positive.

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Answer:

120°

Step-by-step explanation:

∠A+∠C = 180°

Or, 60° +∠C = 180°

Therefore, ∠C = 120°

Answer:

120

Step-by-step explanation:

hope that helps

The statement that shows a discrepancy between the check register and bank statement is: C. Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.

The check register shows a balance of $500, while the bank statement shows a balance of $510.

In the case of Gavin, where the balance in his check register is $500 and the balance in his bank statement is $510, there is a $10 discrepancy between the two.

A possible explanation for this discrepancy could be outstanding checks or deposits that have not yet cleared or been recorded in either the check register or the bank statement.

For example, Gavin might have written a check for $20 that has not been cashed or processed by the bank yet. Therefore, the check register still reflects the $20 in his balance, while the bank statement does not show the deduction. Similarly, Gavin may have made a deposit of $10 that has not yet been credited to his account in the bank statement.

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The value of sin is 56°45' which is the very closest to 0.8363. Option B is correct.

For finding the value of sin 56°45', we use trigonometric tables or a calculator for computing the answer

Transfigure the given angle to decimal form, and we get:

56°45' = \(56+\frac{45}{60}\)= 56.75°

Then by using a calculator or trigonometric tables for computing, we find the value of sin 56.75 degrees. So, the closest value to sin 56.75° is approximately 0.8363.

So, the correct answer is 0.8363.

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Answer: a, c, e

Step-by-step explanation:

a) True. If x=0, f(0)=c.

b) False. Considering the quadratic formula, we know the solutions are not always x=c.

c) True. This is a standard fact.

d) False. If the discriminant is not positive, there are less than two x-intercepts.

e) True. If you plug into the formula \(x=-\frac{b}{2a}\), if b=0, then obviously the x-coordinate of the vertex is also 0.

Answer:

x=90º

Step-by-step explanation:

x=60+30

x=90

A. Marcus will receive $7,473.80 when he redeems the CD at the end of the 14 years.

B. To calculate the amount of money Marcus will receive when he redeems the CD, we can use the compound interest formula.

The formula for compound interest is given by:

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

Where:

A is the final amount (the money Marcus will receive)

P is the initial amount (the inheritance of $5,000)

r is the interest rate per period (4.0% or 0.04)

n is the number of compounding periods per year (12, since it is compounded monthly)

t is the number of years (14)

Plugging in the values into the formula, we get:

A = 5000 * (1 + 0.04/12)^(12*14)

A ≈ 7473.80

Therefore, Marcus will receive approximately $7,473.80 when he redeems the CD at the end of the 14 years.

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Using the sample space, the probability of rolling an even number with a six-sided dice is 3/6 or 1/2.

In the given question we have to find the probability of rolling an even number with a six-sided dice.

The sample space of dice through the experiment is

{1,2,3,4,5,6}

The even numbers is {2,4,6}.

The probability of rolling an even number with a six-sided dice is

P(E)=Total number of even outcome/Total number of outcome

P(E)=3/6

P(E)=1/2

Hence, the probability of rolling an even number with a six-sided dice is 3/6 or 1/2.

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Preço de um sapato = $ 180,00

Desconto concedido se o sapato for comprado em dinheiro = 10%

Custo do calçado quando comprado à vista :

\( =\tt 180 - 10\% \: \: de \: \: 180\)

\( = \tt180 - \frac{10}{100} \times 180\)

\( =\tt180 - \frac{10 \times 180}{100} \)

\( = \tt180 - \frac{1800}{100} \)

\( =\tt 180 - 18\)

\(\color{plum} =\tt\$162.00\)

▪︎Assim, preço do sapato quando comprado em dinheiro = $ 162,00

Answer:

3332 green beads

Step-by-step explanation:

There are 1428 more green beads than red beads.

There are 3,332 greed beads in the box

Given :

A box contains red, purple and green beads in the ratio 4:6:7

From the given ratio,

number of red beads = 4x

number of purple beads= 6x

number of green beads= 7x

There are 1428 more green beads than red beads.

green  beads =1428 + red beads

\(7x=1428+4x\\3x=1428\\x=476\)

we know that number of green beads= 7x

number of green beads= \(7(476)=3332\)

There are 3,332 greed beads in the box

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None of them.To determine which case provides the biggest torque about the rotation axis, we need to consider the factors that affect torque.

Torque is calculated as the product of the magnitude of the applied force and the perpendicular distance from the force to the rotation axis. In other words, torque = force * lever arm.

Given that the magnitude of the applied force is the same for all cases, we only need to consider the lever arm or the perpendicular distance.

Among the options provided (F1, F2, F3, F4), the case with the biggest torque will be the one with the largest lever arm or the greatest perpendicular distance from the fraction force to the rotation axis.

we cannot determine which one has the largest lever arm or the biggest torque.

Therefore, the answer is: None of them.

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The value οf sin F is 5/6.

The branch οf Mathematics which helps in dealing with measure οf three sides οf a right-angled triangle is called Trigοnοmetry.

sin θ  = Perpendicular/Hypοtenuse

cοs θ = Base/Hypοtenuse

tan θ = Perpendicular/Base

cοsec θ = Hypοtenuse/Perpendicular

sec θ = Hypοtenuse/Base

cοt θ = Base/Perpendicular

Cοs D = 5/6 (given)

We knοw, cοs θ =Base / Hypοtenuse

Thus, base = 5  and hypοtenuse = 6

Therefοre, DE = 5 and DF = 6

Sin  θ = Perpendicular / Hypοtenuse

Sin F = DE / DF

Sin F = 5/6

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The rule for the geometric sequence is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

A geometric sequence is a sequence in which consecutive terms are in a common ratio.

Since we have the geometric sequence 64,-32,16,-8, the nth term of a geometric sequence is given by Uₙ = arⁿ⁻¹ where

Since in the geometric sequence, the first term U₁ = a = 64 and the second term U₂ = ar²⁻¹ = ar = -32, then the common ratio r is

r = U₂/U₁

= ar/a

= -32/64

= -1/2

Since a = 64 and r = -1/2

substituting these into Uₙ, we have

Uₙ = arⁿ⁻¹

Uₙ = 64(-1/2)ⁿ⁻¹

Uₙ = 64(-1/2)ⁿ/(-1/2)⁻¹

Uₙ = 64(-1/2)ⁿ/(-2)

Uₙ = -128(-1/2)ⁿ

Uₙ = (-1)(-1)ⁿ128(1/2)ⁿ

Uₙ = (-1)(-1)ⁿ2⁷(1/2)ⁿ

Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

So, the rule is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

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The stream gradient is 80 feet per miles.

What is stream gradient?

Stream gradient, which is typically represented in meters per kilometer or feet per mile, is the grade of a stream determined by the ratio of drop in height per unit horizontal distance.

Given: A stream drops 20 feet in elevation over a horizontal distance of 1320 feet.

Since the stream gradient is expressed in feet / miles.

So, we need to convert 1320 feet into miles.

We know that, 1 feet = 0.000189394

So, 1320 feet = 1320/0.000189394 miles

⇒ 1320 feet = 0.25 miles.

Therefore,

Stream gradient = vertical distance / horizontal distance

                           = 20 / 0.25

Stream gradient = 80 feet / miles

Therefore, stream gradient is 80 feet / miles.

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Mila will receive 68 EUROS of money after the exchange of 80 US dollar.

USD is the official money currency of united states of America.. its symbol of representation is $., also value of 1 US$ =82 rupee.

Unit of money used in other countries of European union is known as euro, also value of 1 EURO=87 rupee.

According to the given data in the question,

1 USD =0.85 EURO

80 USD = 0.85*80 EURO

80 USD= 68 EURO

Hence 80USD will be converted to 68 EUROS

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Answer:

Negative 1/300

Step-by-step explanation:

I took the qiuz

When a die is rolled, the total possible outcome is;

The sample space are; 1,2,3,4,5,6.

Odd numbers are; 1,3,5

Numbers less than 3 are;

Probability of rolling an odd number and number less than 3 is;

Probability of rolling an odd number or number less than 3 is;

Answer: 7t+2.1=h

t=seconds

h=height

Answer:

2.857m/s^2

Step-by-step explanation:

Acceleration (a) is the change in velocity (v) over the change in time (t), represented by the equation a = v/t.