What is the answer to -7/8 × (-7/5) ???

Answer:

18 years 0 months 0 days

Step-by-step explanation:

or 216 months 0 days

or 939 weeks 2 days

or 6,575 days

or 157,800 hours

or 9,468,000 minutes

or 568,080,000 seconds

Answer:

you will be 18!

Step-by-step explanation:

So if you are born In 2007 add 3 years to that. Now it's 2010 add 10 years to that. Now it is 2020. Now just add another 5 years to that and you get- 18!

Answer:

Ella, Miles, Sam, Laney

Step-by-step explanation:

that should be the answer hope I could help

The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.

The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.

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The velocity, vms-1 has a numerical value of 30 m/s from the information provided in the question.

Now we have to use the formula;

v = u + at

Where;

v = final velocity

u = initial velocity

a = acceleration

t = time taken

Given that;

v = ?

u =  20 ms-1

t = 4 s

a = 2.5ms-2

If we substitute the values;

v =  20 ms-1 + (2.5ms-2 × 4 s)

v = 30 m/s

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The constant velocity (V) of the car as it decelerates to rest is 2.222 m/s.

Given the following data:

To determine the constant velocity (V) of the car:

First of all, we would calculate the distance traveled by the car within the first 4 seconds of its motion by using the second equation of motion;

\(S = ut + \frac{1}{2} at^2\\\\S=20(4)+\frac{1}{2} \times 2.5 \times 4^2\\\\S=80+20\)

S = 100 meters.

Next, we would calculate the distance traveled after the first 4 seconds of its motion by using the third equation of motion;

Note: Final velocity is equal to zero since the car decelerated to rest.

\(V^2 =u^2 -2aS\\\\0^2 =20^2-2(2.5)S\\\\5S=400\\\\S=\frac{400}{5}\)

S = 80 meters.

Now, we can find the constant velocity (V) of the car:

Time = \(40-4=\) 36 seconds.

\(Velocity = \frac{distance }{time} \\\\Velocity = \frac{80 }{36}\)

Velocity = 2.222 m/s

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The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.

To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.

Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,

where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.

Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.

Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.

Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.

Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.

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Total number of outcomes in rolling a die 3 times = \(6^3\)  =216

What is outcome of an event?

Suppose an event is happening. The result of the event is called outcome of the event.

For example : let the event be throwing of a die. One of the outcome of the event is getting a 4 on the die

Number of outcomes of rolling a die first time = 6

Number of outcomes of rolling the die second time = 6

Number of outcomes in rolling a die third time = 6

Total number of outcomes in rolling a die 3 times = \(6 \times 6 \times 6\)

                                                                                   = \(6^3\)

                                                                                   = 216

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If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. The rules to show this include SSS, SAS, ASA.

Side-Side-Side (SSS) Rule The SSS rule states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent

The SAS rule states that if two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

The ASA rule states that if two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

An overview was given due to the incomplete information.

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Answer:

y > 4 or y < -4

Step-by-step explanation:

Answer:

0.702

Step-by-step explanation:

If five cards are randomly chosen from a standard deck of 52 cards, it can be proven that at least two of the cards will be of the same suit.

To prove this statement, we can use the pigeonhole principle. A standard deck of 52 cards consists of four suits: hearts, diamonds, clubs, and spades, with each suit containing 13 cards. When five cards are chosen randomly, we can think of each card as a pigeon, and the four suits as pigeonholes. Since we have more pigeons (cards) than pigeonholes (suits), by the pigeonhole principle, there must be at least two pigeons (cards) in one of the pigeonholes (suits).

Now, let's consider the worst-case scenario where the first four cards chosen belong to four different suits. In this case, we have four pigeons (cards) distributed among the four pigeonholes (suits). When we choose the fifth card, no matter which suit it belongs to, it will necessarily match the suit of one of the previously chosen cards. Thus, there will always be at least two cards of the same suit among the five randomly chosen cards from a standard deck.

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Answer:

c = 4,9

d = 4,6

The present value of an amount of $3,000 due to be paid in 3 years is equal to an amount, that with accumulated desired interest would grow to be $3,000 three years from now. This is because the present value is the value of the future payment today, after taking into account the time value of money and the interest rate. The answer to this question is C.

To calculate the present value of $3,000 due in 3 years, we need to discount the future payment back to its present value using the interest rate. This means that we need to find an amount that, when invested today at the given interest rate, will grow to be $3,000 in 3 years.

For example, if the interest rate is 5%, the present value of $3,000 due in 3 years would be approximately $2,530. This means that if you invest $2,530 today at 5% interest, it will grow to be $3,000 in 3 years.

Therefore, the correct answer is C, and we need to know the interest rate to calculate the present value accurately. Answer A is incorrect because the expected value of $3,000 does not take into account the time value of money and the interest rate. Answer B is incorrect because the present value should always be less than the future value if the interest rate is greater than zero. Answer D is incorrect because the expected value and the present value are not the same.

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The value of a is 10 by solving the quadratic equation by completing the square method.

In this question,

Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. It is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)^2 + k.

The quadratic equation is

10x^2 + 40x - 13 = 0

Solving the quadratic equation by completing the square as

Step 1:

10x^2 + 40x = 13

Step 2:

10(x^2 + 4x) = 13

Thus on comparing the step 2 with the equation a(x^2 + 4x) = 13, the value of a is 10.

Hence we can conclude that the value of a is 10 by solving the quadratic equation by completing the square method.

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The statement that , "The set Span{u,v} is always visualized as a plane through the origin" is False because if vectors are scalar multiples of each other, then set Span{u,v} is a line through origin .

The set Span{u,v} is defined as the set of all linear combinations of vectors "u" and "v" . This set can be visualized as a plane in three-dimensional space if the vectors are not scalar multiples of each other.

The plane may not necessarily pass through the origin, unless one of the vectors is the zero vector .

If the vectors are scalar multiples of each other, then the set Span{u,v} is a line through the origin, and if one of the vectors is the zero vector, then the set Span{u,v} is a plane through the origin.

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The p-value associated with a z-score of 3.09 to be approximately 0.001.

To determine if the evidence suggests that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α=0.10 level of significance, we need to conduct a hypothesis test.

Let p1 be the proportion of subjects in group 1 who experience drowsiness and p2 be the proportion of subjects in group 2 who experience drowsiness.

Our null hypothesis is that there is no difference in the proportion of subjects who experience drowsiness between the two groups. This can be written as:

H0: p1 = p2

Our alternative hypothesis is that the proportion of subjects who experience drowsiness is higher in group 1 than in group 2. This can be written as:

Ha: p1 > p2

We will use a significance level of α=0.10.

To conduct the hypothesis test, we need to calculate the test statistic and p-value. The test statistic is given by:

z = (p1 - p2) / sqrt(pooled proportion * (1 - pooled proportion) * (1/n1 + 1/n2))

where pooled proportion is the proportion of subjects who experience drowsiness in both groups combined, and n1 and n2 are the sample sizes for groups 1 and 2, respectively.

The pooled proportion can be calculated as:

pooled proportion = (x1 + x2) / (n1 + n2)

where x1 and x2 are the number of subjects who experience drowsiness in groups 1 and 2, respectively.

Plugging in the values from the question, we get:

pooled proportion = (104 + 61) / (669 + 550) = 0.124

z = (0.154 - 0.111) / sqrt(0.124 * 0.876 * (1/669 + 1/550)) = 3.09

Using a standard normal distribution table or calculator, we can find the p-value associated with a z-score of 3.09 to be approximately 0.001.

Since the p-value is less than the significance level of α=0.10, we reject the null hypothesis and conclude that there is evidence to suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α=0.10 level of significance.

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Answer:

8√2

Step-by-step explanation:

Notice that this is a 45-45-90 triangle (isosceles right triangle). This type of triangle has a  property where the ratio between side lengths is x : x : x√2, where x√2 is the measure of the two equal legs and is the measure of the hypotenuse.

Since we know the measure of one of the smaller legs is 8, then we can set x in the ratio to 8 -->  8 : 8 : 8√2

Thus, the length of BC (hypotenuse) is 8√2

The function f(x) = 3x^2 - x + 7 has a minimum value of 83/12, and this value occurs at x = 1/6.

The function f(x) = 3x^2 - x + 7 is a quadratic function with a positive leading coefficient (3). Therefore, it has a minimum value. To find this minimum value, we can use the vertex formula for a quadratic function:

x = -b / (2a)

where a = 3 and b = -1.

x = -(-1) / (2 * 3)
x = 1 / 6

Now, we can find the minimum value by plugging x = 1/6 into the function:

f(1/6) = 3(1/6)^2 - (1/6) + 7
f(1/6) = 3(1/36) - (1/6) + 7
f(1/6) = 1/12 - 1/6 + 7
f(1/6) = 1/12 - 2/12 + 84/12
f(1/6) = 83/12

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