a satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. each unit contains the same number of non-upgraded sensors. if the number of non-upgraded sensors on one unit is 15 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?

The equation of the line passing through the points (1, -9), and (-3, -9) is y = -9.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Points are (1,3) and (3,2)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

m = 2 - 3 / 3 - 1

m = -1/2

The equation of the line is given as

y - y₁ = m (x - x₁)

y - 3 = -1/2(x - 1)
y = -1/2x + 1/2 + 3
y = -1/2x + 7/2

As point (0, a) lies on the line, so
a = -1/2(0) + 7/2
a = 7/2

Thus, the required value of a is given as 7/2 and the equaiton of the line is y = -1/2x + 7/2.

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Answer: What grade work is this? I think I can help...

Step-by-step explanation:

The task is to derive and solve the system of equations for the nodes and weights of the Le quadrature rule on the interval (-1, 1) using four nodes, with t1 = -1 and ta = 1 given, and t2 and t3 chosen optimally to minimize.

To determine the nodes and weights for thecon the interval (-1, 1) with four nodes, we need to solve a system of equations.

Given t1 = -1 and ta = 1, and with t2 and t3 chosen optimally, we aim to minimize the error by obtaining an equation involving 1 + t that does not contain the weights w or w2.

The system of equations will involve the weights and the nodes, and solving it will provide the specific values for t2, t3, w1, w2, w3, and w4.

The optimality condition ensures that the chosen nodes and weights provide accurate approximations for integrating functions over the interval (-1, 1).

By solving the system of equations, we can obtain the exact values of the nodes and weights, achieving the desired equation involving 1 + t.

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Answer:

893cm²

Step-by-step explanation:

Just multiply each individual square then add up all the areas.

Please give brainliest if I helped! :)

Answer:

22 people

Step-by-step explanation:

Sean has 2 3/4 candy bars. That is 11/4 candy bars.

He wants to give out 1/8 candy bars.

The number of people that will get candy is:

\(\frac{11}{4} / \frac{1}{8}\\ \\= \frac{\frac{11}{4} }{\frac{1}{8}} \\\\\frac{11}{4} * \frac{8}{1} \\\\22\)

22 people can get candy.

Answer:

22 people will get candy

Step-by-step explanation:

it's correct because I got it from khan academy

Answer:

hold up

Step-by-step explanation:

عد اس مراس whats this mean??

Answer:

the relationship is a function....

The area of the figure is 104 cm².

Area is the region bounded by a plane shape.

Note: The figure shown below is a trapezium. And We need to find the vertical height of the figure before we can calculate the area.

To calculate the area of the figure, we use the formula below

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

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The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

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The number of samples that were greater than 98.5 degrees and less than 98.7 degrees is 25.

We have,

3.

The number of samples that were greater than 98.5 degrees and less than 98.7 degrees.

= 25

We add up all the dots above the numbers between 98.5 and 98.7.

We will not include the dots above 98.5 and 98.7.

4.

The dot plot of the sample mean body temperature for 100 different random samples of size 10 from a population with a mean temperature of 98.6 degrees shows that the majority of the sample means are close to 98.6, and there are very few samples means that exceed 98.6, then it would be surprising to obtain a sample mean of 98.8 or greater from a different random sample.

Thus,

The number of samples that were greater than 98.5 degrees and less than 98.7 degrees is 25.

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The slope of the line is 4/1.25.

What is the slope of the line ?

A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. where "m" represents a line's slope. Consequently, tan is the slope of a line.

The slope of the line is described by -

slope = perpendicular / base

perpendicular = 4 units

base = 1.25 units

= 4/1.25

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Answer:

4 11/12

Step-by-step explanation:

x2−4x−12<0

x2+10x−24<0

x−1=2y

x=−5912

Decimal Form:

x=−4.91¯6

Mixed Number Form:

x=−4 11/12

Answer:

There is no solution to this.

Step-by-step explanation:

Maybe check for a typo?

you would first need to calculate the discriminant, D= b^2-4 a c

D= (-12)^2 -4*1*59

Simplify

D=-92

Since D<0, the quadratic equation has no real solutions.

Let's translate the argument into symbolic form using the following symbols:

B: Brazil has a huge foreign debt.

A: Argentina has a huge foreign debt.

The argument can be represented as follows:

B → (B ∨ A)

To determine the validity of the argument, we can construct a truth table for the expression (B → (B ∨ A)). The truth table will include all possible combinations of truth values for B and A, and we will evaluate the truth value of the entire expression for each combination.

The truth table for the argument is as follows:

B A B ∨ A B → (B ∨ A)

T T T T

T F T T

F T T T

F F F T

As we can see from the truth table, regardless of the truth values of B and A, the expression B → (B ∨ A) always evaluates to true. Therefore, the argument is valid because the conclusion is always true when the premise is true.

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Answer:

arithmetic sequence

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 10 - 19 = 1 - 10 = - 9

This means the sequence is arithmetic

The graph of the function f(x) = -√x is a reflection of the graph of f(x) = √x across the x-axis. It is a decreasing function with domain x ≥ 0 and range y ≤ 0. The graph starts at the point (0,0) and approaches the x-axis as x increases. It is also symmetric with respect to the y-axis.

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Two vectors in ℝ⁴ are orthogonal if their dot product is zero.

Two vectors in ℝ⁴ are said to be orthogonal if their dot product is zero. The dot product of two vectors measures the similarity or alignment between them. When the dot product is zero, it signifies that the vectors are perpendicular to each other and do not share any common direction.

Geometrically, orthogonality between two vectors in ℝ⁴ means that they are linearly independent and span different directions in four-dimensional space. It implies that there is no projection of one vector onto the other, and they are completely perpendicular to each other.

The concept of orthogonality is fundamental in many areas of mathematics, physics, and engineering. In linear algebra, orthogonal vectors play a crucial role in defining orthogonal bases and orthogonal projections. They also have applications in vector calculus, where they are used to define gradients and normal vectors. In physics, orthogonal vectors are relevant in studying forces, velocities, and geometric transformations. Overall, understanding orthogonality is essential for analyzing vector relationships and geometric properties in multi-dimensional spaces.

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The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

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Answer

Sorry about that comment

Step-by-step explanation:

My brother was being annoying and messed with my computer

I'm new here

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Judging by the pic I think it is 75

Answer:

range -5 ≤ y ≤ 3

domain -5 ≤ x ≤ 3

Step-by-step explanation:

The formula for the temperature in ºC is:

\(C = \frac{5}{9}(F - 32)\)

As shown in the problem, the rule is as follows:

F(C) = 9C/5 + 32.

We want to find the temperature in Celsius given the Fahrenheit temperature, hence we have to solve for C the above formula, hence:

9C/5 = F - 32

9C = 5(F - 32)

C = 5/9(F - 32).

For better notation I will use Latex, as follows:

\(C = \frac{5}{9}(F - 32)\)

The above formula is the formula for the temperature in ºC.

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Let's denote the time it takes for the student aide to complete the job alone as "x" minutes.

According to the given information, the teacher can assemble and staple the newsletter three times faster than the student aide. Therefore, the teacher's time to complete the job alone is "x/3" minutes.

When they work together, their combined work rate is the sum of their individual work rates. We can express this as:

1/x + 1/(x/3) = 1/21

To simplify the equation, we can multiply through by the least common multiple (LCM) of the denominators,

which is 3x:

3 + 3/x = x/(21x)

Multiplying both sides of the equation by 21x:

63x + 63 = x^2

Rearranging the equation:

x^2 - 63x - 63 = 0

Now we can solve this quadratic equation for "x" using factoring, completing the square, or the quadratic formula.

Factoring is not straightforward in this case, so let's solve it using the quadratic formula:

x = (-(-63) ± sqrt((-63)^2 - 4(1)(-63))) / (2(1))

Simplifying:

x = (63 ± sqrt(3969 + 252)) / 2

x = (63 ± sqrt(4221)) / 2

Now, calculating the square root:

x ≈ (63 ± 64.98) / 2

We have two possible solutions:

x ≈ (63 + 64.98) / 2 ≈ 128.98 / 2 ≈ 64.49

or

x ≈ (63 - 64.98) / 2 ≈ -1.98 / 2 ≈ -0.99

Since time cannot be negative, we discard the negative solution.

Therefore, it would take the student aide approximately 64.49 minutes to complete the job alone, and the teacher, who is three times faster, would take approximately 21.50 minutes (64.49/3) to complete the job alone.

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Answer:

176 d 9 x

Step-by-step explanation:

Answer:

1575

Step-by-step explanation:

First of if B if 2x's c minus 1875 do 1875+3525=5400/2=2700$. Then for A's subtract 1875 by 300 1865-300=1575.     The answer is 1575