10 x 10 - 4 divided by 7

Answer:

10p

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Given the function:

You can find the Inverse Function by following the steps shown below:

1. Rewrite the function using:

Then:

2. Solve for "x":

- Square both sides of the equation, in order to undo the effect of the square root on the right side:

- Apply the Subtraction Property of Equality by subtraction 9 from both sides of the equation:

- Apply the Division Property of Equality by dividing both sides of the equation by 3:

3. Swap the variables:

4. Replace the variable "y" with:

Then, you get:

Hence, the answer is:

The estimated perimeter of Tomas's garden is approximately 6.2 meters.

To estimate the area of Tomas's garden, we can round the length to 2.5 meters and the width to 0.6 meters. Then we can use the formula for the area of a rectangle:

Area = length x width

Area ≈ 2.5 meters x 0.6 meters

Area ≈ 1.5 square meters

So the estimated area of Tomas's garden is approximately 1.5 square meters.

To estimate the perimeter of the garden, we can add up the lengths of all four sides.

Perimeter ≈ 2.5 meters + 0.6 meters + 2.5 meters + 0.6 meters

Perimeter ≈ 6.2 meters

So the estimated perimeter of Tomas's garden is approximately 6.2 meters.

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Answer:

1

Step-by-step explanation:

If a term does not have a written coefficient, then the coefficient is one.

This is because 1(y) = y

Answer:

1

Step-by-step explanation:

there is an "understood" 1 as the coefficient of any blank variable

but it is useless to write since anything times 1 is just the same number ..... (i.e: y *1= y...same as 5 * 1= 5)

Answer:

y=x^2+6

Step-by-step explanation: Look at the vertex (0,6). We know the equation is quadratic so we know x^2. We know in the slope-interpect form equation the y-intercept is the term after the slope. The same applies in this equation. So that means the y intercept is 6 because y is 6 in the coordinate (0,6). We know the slope x^2. We need to plug that into the slope-intercept form equation.

The equation will be y=x^2+6.

Answer:

\(y = x^2 + 6\)

Step-by-step explanation:

Vertex form for a parabola is \(y = a(x-h)^2 + k\) where the vertex is \((h,k)\). Now for a vertex of (0,6), we can simply plug those values in for h and k: \(y = x^2 + 6\).

Hope this helps!! :)

Answer:

v=9

Step-by-step explanation:

50 + x =180

x=130

130+(6v-4)= 180 (subtract 126 from each side)

6v=54 (divide by 6)

v=9

Step-by-step explanation:

X+7x=9-19

8x=-10

X=-10÷8

X=1.25

Answer:

5

Step-by-step explanation:

For this question, look for the y value when x=4. The y-value when x=4 is 5.

The length of AB is 100 cm and the length of BC is 60 cm.

Let's assume the length of AB is 5x and the length of BC is 3x, where x is a common factor.

In a parallelogram, opposite sides are equal in length. Therefore, the length of AD is also 5x, and the length of CD is 3x.

The perimeter of a parallelogram is the sum of the lengths of all its sides. Given that the perimeter is 320 cm, we can set up the equation:

AB + BC + CD + AD = 320

(5x) + (3x) + (3x) + (5x) = 320

16x = 320

Dividing both sides by 16:

x = 320 / 16

x = 20

Now we can find the lengths of AB and BC:

AB = 5x = 5 * 20 = 100 cm

BC = 3x = 3 * 20 = 60 cm

Therefore, the length of AB is 100 cm and the length of BC is 60 cm.

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The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

After five decades, the amount is worth to the nearest hundredth is 607.54

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth." A hundredth is 1/100 or 0.01 in decimal form. For instance, 2.17 is the result of rounding 2.167 to the nearest tenth.

Look at the next place value to the right in order to round a number to the closest hundredth (the thousandths this time). The same applies: Simply eliminate all the digits to the right if the number is 4 or fewer. Add 1 to the digit in the hundredths place if the number is five or above, and then eliminate all the digits to the right.

The equation below can be used to describe this amount at intervals of 2t decades. where r is the rate of increase and Q(0) is the initial quantity. A 510-valued quantity increases exponentially at a rate of 7% every 20 years. After five decades, the amount is worth 607.54

Q(t)=Q(0)\(e^{xt}\)

Q(2.5)= 510e^(0.07*2.5)

= 607.54

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Answer: xp=py

<xpa=<apy

4 right angles are formed

2(xp)=xy

<xpa and <apy are supplements.

Step-by-step explanation:

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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Answer:

if u eat 50 apples in a month how many of them will be bitter or sweat.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

it has a 50 50 percent chance of landing on tails each time

Answer:

x = 10.5

Step-by-step explanation:

\(cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565\)

Answer:

Step-by-step explanation:

take 65 degree as reference angle

using cos rule

cos 65=adjacent/hypotenuse

0.42=x/25

0.42*25=x

10.5=x

Answer:

Is there a proportional relationship between the number of scoops and the number of​ dogs?

No.

Step-by-step explanation:

A proportional relationship is something like:

y = k*x

Here y can represent the number of scoops of dog food, and x the number of dogs.

First, we know that for 4 dogs he prepares 8 scoops of dog food, then:

8 = k*4

If the relationship is proportional, then we should have a similar equation for the case of 6 dogs, where he prepares 15 scoops of dog food:

15 = k*6

So if we have the same k in both equations, then there is a proportional relationship between the number of scoops and the number of dogs.

In the first equation we have:

8 = k*4

8/4 = k

2 = k

And in the second equation we have:

15 = k*6

15/6 = k

2.5 = k

The values of k are different, so no, there isn't a proportional relationship between the number of scoops and the number of dogs.

The statement is false since the equation ap = pb does not have a unique solution.

The statement is true because if the matrix equation ap = b has a solution for every n × 1 matrix b, then a must be invertible.

Exercise 21:

a) The equation ap = pb has a unique solution.

False.

To determine the uniqueness of the solution, we need to consider the dimensions of the matrices involved. Let's assume a, b, p are n × n matrices.

If the equation ap = pb has a unique solution, it implies that p can be uniquely determined given the matrices a and b. However, in general, there is no guarantee of a unique solution.

For example, let's consider n = 2. Suppose a = [[1, 0], [0, 1]], b = [[1, 0], [0, 1]], and p = [[2, 0], [0, 2]]. In this case, ap = pb becomes [[2, 0], [0, 2]] = [[2, 0], [0, 2]], which satisfies the equation. However, we could also choose p = [[3, 0], [0, 3]], and it would still satisfy the equation. Therefore, the equation does not have a unique solution.

Exercise 22:

a) If the matrix equation ap = b has a solution for every n × 1 matrix b, then a must be invertible.

True.

If the matrix equation ap = b has a solution for every n × 1 matrix b, it implies that the equation always has a solution regardless of the choice of b. This condition is equivalent to saying that the matrix a is left invertible.

To show that a is invertible, we need to demonstrate that a has a right inverse, denoted as a^(-1). This means there exists a matrix p such that ap = I, where I is the identity matrix.

Let's assume b = I, the n × n identity matrix. Since the equation ap = b has a solution for every n × 1 matrix b, it implies that there exists a matrix p such that ap = I. Therefore, a has a right inverse.

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A) To 4 decimal places, the variance ≈ 0.0383.

B)  , P(0.21 < X < 0.76) ≈ 0.8054.

C)   The mean ≈ 0.6774.

D) The variance ≈ 0.0383.

a. To find P(X < 0.21), we can use a cumulative distribution function (CDF) calculator for the beta distribution with parameters a = 2.1 and b = 1. Using such a calculator, we get:

P(X < 0.21) ≈ 0.0668

Therefore, to 4 decimal places, the variance ≈ 0.0383.

b. Similarly, to find P(0.21 < X < 0.76), we can use the beta distribution CDF calculator and subtract the probability of X being less than 0.21 from the probability of X being less than 0.76. That is,

P(0.21 < X < 0.76) = P(X < 0.76) - P(X < 0.21)

Using the same beta distribution CDF calculator, we get:

P(0.21 < X < 0.76) ≈ 0.8722 - 0.0668 ≈ 0.8054

Therefore, to 4 decimal places, P(0.21 < X < 0.76) ≈ 0.8054.

c. The mean of a beta distribution with parameters a and b is given by:

Mean = a / (a + b)

Substituting a = 2.1 and b = 1, we get:

Mean = 2.1 / (2.1 + 1) ≈ 0.6774

Therefore, to 4 decimal places, the mean ≈ 0.6774.

d. The variance of a beta distribution with parameters a and b is given by:

Variance = (a * b) / [(a + b)^2 * (a + b + 1)]

Substituting a = 2.1 and b = 1, we get:

Variance = (2.1 * 1) / [(2.1 + 1)^2 * (2.1 + 1 + 1)] ≈ 0.0383

Therefore, to 4 decimal places, the variance ≈ 0.0383.

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\( \large \mathfrak{Answer : }\)

Simplified form of the above fraction is :

Answer: the simplest form is 4/7

Step-by-step explanation:

The probability that Ken will use all the toothpaste in the tube is 7.64%.

From the given information,Mean, μ = 0.13 ounceStandard deviation, σ = 0.02 ounceNumber of times Ken brushes his teeth, n = 6.

The amount of toothpaste Ken squeezes out of the tube each time he brushes is independent and can be modeled by a Normal distribution.

From this information, we can obtain that:Mean of toothpaste used in 6 brushes = n × μ = 6 × 0.13 = 0.78 ounceStandard deviation of toothpaste used in 6 brushes = $\sqrt{n}$ × σ = $\sqrt{6}$ × 0.02 = 0.049 ounce.

To find the probability that Ken will use all the toothpaste in the tube, we need to calculate the probability of the amount of toothpaste used in 6 brushes being more than or equal to 0.85 ounce,
which is the total amount of toothpaste in the tube.P(X ≥ 0.85) = P( Z ≥ (0.85 - 0.78) / 0.049) = P(Z ≥ 1.43) = 1 - P(Z < 1.43)Using standard normal distribution table, we find the value of P(Z < 1.43) as 0.9236. Therefore,P(X ≥ 0.85) = 1 - P(Z < 1.43) = 1 - 0.9236 = 0.0764 or 7.64%.

The amount of toothpaste that Ken squeezes out each time he brushes is modeled by a normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces.

The amount of toothpaste squeezed out at each brushing is independent of the previous amount of toothpaste squeezed out. We want to determine the probability that Ken will use all of the toothpaste in a 0.85-ounce tube if he brushes his teeth six times.

To do so, we first find the mean and standard deviation of the amount of toothpaste squeezed out in six brushes. If Ken brushes his teeth six times, then the mean amount of toothpaste squeezed out is nμ = 6(0.13) = 0.78 ounces. If the amount of toothpaste squeezed out at each brushing is independent, then the standard deviation of the amount of toothpaste squeezed out in six brushes is sqrt(6) * 0.02 = 0.049 ounces.

We now want to find the probability that Ken will use all of the toothpaste in the tube.

This is equivalent to finding the probability that the amount of toothpaste squeezed out in six brushes is greater than or equal to 0.85 ounces, which is the total amount of toothpaste in the tube.

If X is the amount of toothpaste squeezed out in six brushes, then we want to find P(X >= 0.85).We can standardize the distribution of X by subtracting the mean and dividing by the standard deviation.

Z = (X - μ) / σ is the standard normal random variable associated with X. In this case, Z has mean 0 and standard deviation 1. We want to find P(Z >= (0.85 - 0.78) / 0.049), which simplifies to P(Z >= 1.43). Using a standard normal distribution table, we can find P(Z < 1.43) = 0.9236. Therefore, P(Z >= 1.43) = 1 - P(Z < 1.43) = 1 - 0.9236 = 0.0764, or 7.64%.Therefore, the probability that Ken will use all the toothpaste in the tube is 7.64%.

Therefore, the probability that Ken will use all the toothpaste in the tube is 7.64%.

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Answer:

105°

Step-by-step explanation:

(11x-5)+(6x+5)+x=180

18x=180

x=10°

m∠Q=11x-5=11*10-5=105°

Answer:

i dont understand the question much cuz its only told berries so i think is both rasberry and strawberry

Step-by-step explanation:

if so here my solve: Both berries are 38% of the graph, we have equation 38%×290 = 110,2

hmmmm maybe the ans is D. 110

Answer: 1=95 2=85 3=95 4=85 5=36 6=49

Step-by-step explanation:

The cost of each printer is $568.

To find the cost of each printer, we need to use a system of equations.

Let's call the cost of each printer "p" and the cost of each camera "c".

The first equation we can create is: 6p + 3c = 4773

The second equation we can create is: 4p + 6c = 5002

Now we can use the elimination method to solve for one of the variables.

Let's eliminate the "c" variable by multiplying the first equation by -2: -12p - 6c = -9546

And then add the two equations together: -8p = -4544

Now we can solve for "p" by dividing both sides by -8: p = 568

So the cost of each printer is $568.

To find the cost of each camera, we can plug the value of "p" back into one of the original equations and solve for "c":

6(568) + 3c = 4773

3408 + 3c = 4773

3c = 1365

c = 455

So the cost of each camera is $455.

Therefore, the cost of each printer is $568 and the cost of each camera is $455.

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If A and B are independent, they cannot be mutually exclusive. In this case, P(A ∩ B) = P(A) * P(B), but since A and B cannot be mutually exclusive, this situation is not applicable.

If A and B are mutually exclusive events, it means that they cannot occur at the same time. Therefore, P(A and B) is equal to zero, because the intersection of the events is empty. So, if A and B are mutually exclusive:

P(A ∩ B) = 0

If A and B are independent events, it means that the occurrence of one event does not affect the probability of the other event occurring. In this case, the probability of both events occurring can be calculated as:

P(A ∩ B) = P(A) * P(B)

However, since A and B are mutually exclusive, they cannot be independent. If two events are mutually exclusive, the occurrence of one event implies that the other event cannot occur. Therefore, if A and B are mutually exclusive, they cannot be independent.

So,

If A and B are mutually exclusive, P(A ∩ B) = 0 and it does not make sense to talk about the probability of both events occurring together.

If A and B are independent, they cannot be mutually exclusive. In this case, P(A ∩ B) = P(A) * P(B), but since A and B cannot be mutually exclusive, this situation is not applicable.

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The question are based on fraction manipulation, hence, the answers to the questions are :

The number of cakes to frost = 12

Shortage on amount of frosting required = \( 4\frac{1}{8} = \frac{33}{8}\)

To apportion the shortage on all 12 cakes ;

2.)

Digging rate = \( 1\frac{1}{3} \: feets = \frac{4}{3} \: feets \: per \: hour \)

Digging time = \( 2\frac{1}{2} \: hours = \frac{5}{2} \: hours \)

Depth of hole = Digging rate × digging time

Depth of hole =\( \frac{4}{3} \times \frac{5}{2} = \frac{20}{6} = 3 \frac {1}{3} \)

3.)

Current temperature value = - 28.9°F

Change or Rise in Temperature = 33.2°F

Final temperature = High temperature for the day.

Hence,

High temperature = Current temperature + Rise in temperature

High temperature = - 28.9°F + 33.2°F = 4.3°F

Therefore, the high temperature value for the day is 4.3°F

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Answer:

4.3

or in other words

The questions are based on fraction manipulation, hence, the answers to the questions are :

Decrease in frosting per cake =

Depth of hole =

Final temperature = 4.3°F

The number of cakes to frost = 12

Shortage on amount of frosting required =

To apportion the shortage on all 12 cakes ;

2.)

Digging rate =

Digging time =

Depth of hole = Digging rate × digging time

Depth of hole =

3.)

Current temperature value = - 28.9°F

Change or Rise in Temperature = 33.2°F

Final temperature = High temperature for the day.

Hence,

High temperature = Current temperature + Rise in temperature

High temperature = - 28.9°F + 33.2°F = 4.3°F

Therefore, the high temperature value for the day is 4.3°F

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Step-by-step explanation:

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