What is the product?
7•(—4) • (—6)

1. —168
2. —3
3. 17
4. 168

Answer: 6 are not enrolled.

Step-by-step explanation:

78 in total so you add 41+22+9 and you get 72 so you do 78-72 and you get 6.

Answer:

First, we need to convert the mixed number −3 1/3 to a fraction. −3 1/3 = −(3 + 1/3) = −(10/3).

Now, we can divide the fraction by the decimal. −(10/3) ÷ (-2.4) = −(10/3) ÷ (-24/10) = −(10/3) x (10/-24) = 10/-7.2 = -1.388888889.

Therefore, the value of the expression is −1.388888889.

Step-by-step explanation:

1. Convert the mixed number to a fraction.

```

-3 1/3 = -(3 + 1/3) = -(10/3)

```

2. Multiply the numerator and denominator of the fraction by -1.

```

-(10/3) = (-1)(10/3) = -10/3

```

3. Divide the numerator and denominator of the fraction by -24.

```

-10/3 = (-10/3) ÷ (-24/10) = 10/-7.2 = -1.388888889

```

Therefore, the value of the expression is −1.388888889.

Here is a visual representation of the steps:

```

-3 1/3 ÷ (-2.4)

= -(10/3) ÷ (-24/10)

= -(10/3) x (10/-24)

= 10/-7.2

= -1.388888889

```

After 44 minutes is the temperature of each piece of metal the same.

The mathematical description of two things that are equal—one on each side of a "equals" sign—is called an equation. Equations help us address problems in our daily lives. Most of the time, we seek pre algebra assistance to answer challenges in real life. The fundamentals of math are found in pre-algebra ideas.

Given,

A piece of metal at 20°C is warmed at a steady rate of 2 degrees per

the same time, another piece of metal at 240°C is cooled at a steady rate of 3 degrees per minute.

Let time be t

Equation,

20 +2t = 240 - 3t

2t + 3t = 240 - 20

5t  = 220

t = 44

After 44 minutes is the temperature of each piece of metal the same.

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There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer:

System of equations:

L = 5W + 7

2W + 2L = P

L = 62 cm

W = 11 cm

Step-by-step explanation:

Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.  

The formula for perimeter of a rectangle is:  2W + 2L = P, where W = width and L = length.  We also know that the L is '7 more than five times its width'.  This can be written as:  L = 5W + 7.  Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:

2W + 2(5W + 7) = 146

Distribute:  2W + 10W + 14 = 146

Combine like terms:  12W + 14 = 146

Subtract 14 from both sides:  12W + 14 - 14 = 146 - 14 or 12W = 132

Divide 12 by both sides:  12W/12 = 132/12 or W = 11

Put '11' in for W in the equation for 'L':  L = 5(11) + 7 or L = 55 + 7 = 62.

Answer:

(x^2 + 2x - 21) sq units

Step-by-step explanation:

Area of the shaded region = Area of the larger rectangle - Area of smaller rectangle

Area of the larger region = x(x+2)

Area of the larger region =x^2 + 2x

Area of the smaller rectangle = 3 * 7

Area of the smaller rectangle = 21 sq. units

Area of the shaded region = x^2 + 2x - 21

Hence the required expression is (x^2 + 2x - 21) sq units

Answer:

-8

Step-by-step explanation:

bit of a long problem, if you have any questions leave them below

Answer:

Robert is 10  and his dad is 40 years old

Step-by-step explanation:

We have (4x+5)=3(x+5)

4x+5=3x+15

x=10.

Roberts is 10 years old and his father is 40 years old.

Answer:

Step-by-step explanation:

Roberts's father=4x

Robert=x

After 5 years, the ages will be

4x+5 and x+5 because we just simply add 5 years to their ages

It says that the father will be 3x older. So,

3(x+5)=4x+5.   --this is the equation

3x+15=4x+5

    -5         -5

3x+10=4x

-3x     -3x

x=10

Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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Unfortunately your graph is wrong(Correct one is attached)

Correct ones are

Note

if you make the function y=-x^2+2x+6 then the rest two are correct

Answer:

f is increasing on the interval x < 0

f is increasing on the interval 0 < x < 1

Step-by-step explanation:

From inspection of the graph, the curve is increasing when x < 1 and the curve is decreasing when x > 1

Therefore, the following are true statements:

According to the solution we have come to find that, The missing sides are t=ST=9 and s=RT=12.

what is right angle triangle?

A right angle triangle, also known as a right triangle, is a triangle that has one angle measuring 90 degrees, which is also known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are called legs or catheti. The Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse, is a fundamental property of right triangles. Right triangles are important in mathematics and physics, and they have many applications in geometry, trigonometry, and calculus.

We can use the fact that the two triangles are similar to set up a proportion and solve for the missing sides.

AB/RS = BC/ST = AC/RT

Substituting the given values:

5/RS = 3/9 = 4/s

Solving for RS:

RS = (5/3) * 9 = 15

Solving for RT:

RT = (4/5) * 15 = 12

Therefore, the missing sides are t=ST=9 and s=RT=12.

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The expression states that for every linear polynomial p with real coefficients and a nonzero coefficient of x, there is exactly one real root r.

For all linear polynomials with real coefficients and a nonzero coefficient of x, there exists exactly one real root. This can be expressed using the universal quantifier "for all" and the existential quantifier "there exists", connected by the logical connective "and". Additionally, the statement "exactly one real root" can be expressed using the quantifier "there exists" and the logical connective "and".

Using quantifiers and logical connectives, we can express the given fact as follows:

∀p ∃!r ((isLinearPolynomial(p) ∧ hasRealCoefficients(p) ∧ coefficientOfX(p) ≠ 0) → hasRealRoot(p, r))

Explanation:

- ∀p: For every polynomial p
- ∃!r: There exists exactly one real root r
- isLinearPolynomial(p): p is a linear polynomial (degree 1)
- hasRealCoefficients(p): p has real coefficients
- coefficientOfX(p) ≠ 0: The coefficient of x in p is nonzero
- hasRealRoot(p, r): p has a real root r

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Answer:

answer: 12

Step-by-step explanation:

You get 12 by doing base × height. So our base in this problem is 2.5 and our height is 4.8 so

2.5 × 4.8 = 12 Hope this helps!

The Mahalanobis distance is a measure of the distance between two data points that takes into account the correlation between the variables and the scaling of each variable. It is calculated by comparing the distance of the two data points in each variable after scaling by the standard deviation and correlation of the data set.

The Mahalanobis distance is used to measure the distance between two points in a multi-dimensional space. Unlike other distance measures, such as Euclidean distance, the Mahalanobis distance takes into account the correlation between the variables in the data set. This is important because variables in real-world data sets are often correlated.

To calculate the Mahalanobis distance, we first standardize the data by subtracting the mean and dividing by the standard deviation of each variable. This ensures that each variable has a mean of zero and a standard deviation of one. Then, we calculate the covariance matrix of the standardized data, which takes into account the correlation between the variables.

The Mahalanobis distance between two data points is then calculated as the square root of the sum of the squared differences between the two data points in each variable, where the differences are scaled by the standard deviation and correlation of the data set. This measure tells us how many standard deviations away the two data points are from each other, taking into account the correlation between the variables.

Overall, the Mahalanobis distance is a useful measure for comparing data points in multi-dimensional space, particularly when the variables in the data set are correlated. It allows us to take into account the scaling and correlation of the data, and provides a more accurate measure of distance between two data points than other distance measures that do not consider these factors

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Answer: -2-2 radical42 over 15

Step-by-step explanation

Call the length a, the width b

Perimeter = (a+b) x 2

We have : a - b = 4 and (a+b) x 2 = 56

-> a + b = 28
-> a - b = 4

=> a+b + (a-b) = 32
2a = 32
a = 16
b = 56:2-16 = 12

So, the length = 16 and the width = 12

Answer:

$120 + -33% = $80.40

Step-by-step explanation:

Answer:

no 1 is true

Step-by-step explanation:

no2 also true. thank you

To estimate the height of the tower, Andrew can use the concept of trigonometry. The height of the tower can be calculated by using the tangent of the angle formed by Andrew's lines of sight.

First, let's calculate the angle formed by Andrew's lines of sight. Since the lines of sight form a 90° angle with the ground, we know that the angle between them is also 90°.

Now, let's calculate the distance between Andrew and the base of the tower. Andrew is 42ft4in away from the base of the tower. We can convert this distance to feet by dividing the inches by 12:

42ft4in = 42.33 feet (rounded to two decimal places)

Next, we need to calculate the distance between Andrew's eye level and the ground. Andrew is 5ft tall, so the height of his eye level is 5ft from the ground.

Now, we can use the tangent function to calculate the height of the tower:

tan(angle) = height/distance

tan(90°) = height/(42.33 feet - 5 feet)

tan(90°) is undefined, since the tangent of 90° is infinite. However, we can use the fact that the tangent of an angle approaches infinity as the angle approaches 90°. Therefore, we can assume that the angle is very close to 90°, and use the tangent of a slightly smaller angle, such as 89.9°.

tan(89.9°) = height/(42.33 feet - 5 feet)

Solving for height, we get:

height = tan(89.9°) x (42.33 feet - 5 feet)

height = 237.85 feet (rounded to two decimal places)

Therefore, the height of the tower is approximately 237.85 feet to the nearest foot.

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the range in this set of data is 25 inches. To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

The range in a set of data is the difference between the maximum and minimum values in the set.

To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

Let's say that the highest amount recorded was 30 inches and the lowest amount recorded was 5 inches. Then the range would be:

range = highest amount - lowest amount

range = 30 - 5

range = 25

Therefore, the range in this set of data is 25 inches.

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EXPLANATION

Domain = All Real Numbers

Range = { y/ y >= 5}

Answer:

The correct option is;

B. GT PT ET GV PV EV

Step-by-step explanation:

The given information we have;

The number mathematics topics Travis has to chose from tonight = 3 topics

The number of ways he can chose to study each topic = 2 ways

Therefore the number of different combo Travis can chose from is given as follows;

The number of combos = The number of topics × The number of ways

∴ The number of combos = 3 × 2 = 6 combos

Therefore, the possible combos are;

B. GT PT ET GV PV and EV which is the same as GT, GV, PT, PV, ET, and EV.

The rigid motion that verifies the congruence of two triangles using the Side-Angle-Side (SAS) criterion is the combination of a translation and a rotation.

To establish congruence between two triangles using the SAS criterion, we need to show that the triangles have two corresponding sides and the included angle equal in measure. This can be achieved through a specific rigid motion, which preserves the shape and size of the triangles.

The first step in the rigid motion is a translation. Translation involves moving the entire triangle along a straight line without altering its shape or size. By sliding one triangle along the plane, we can place the corresponding sides of the two triangles in the same position.

The second step is a rotation. A rotation is a transformation that turns the triangle around a fixed point, called the center of rotation. By rotating one triangle around its center, we can align the corresponding angles of the two triangles. By combining the translation and rotation, we ensure that the sides and the included angle of the two triangles match, verifying their congruence using the SAS criterion.

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The Discussion section of a report is an essential part where you can delve into the theories related to your research topic, irrespective of the results.

In this section, you have the opportunity to analyze and interpret your findings and draw conclusions from them.

You can also discuss the implications of your research and suggest future directions for further investigation.

Additionally, it is crucial to discuss relevant literature in this section to provide context for your findings and demonstrate your knowledge of the subject area.

However, it is essential to avoid merely restating points already made in previous sections but instead reformulate them and provide additional insights.

In summary, the Discussion section is a crucial part of the report, providing a space for reflection and critical thinking about your research findings.

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Answer:

90 degrees

Step-by-step explanation:

Answer:

90 degrees.

Step-by-step explanation:

50 degrees (NJ) + -40 degrees (Antarctica) = 90 degrees.

She can only move a certain distance in three seconds, with a lower distance of 33.45 feet and a upper distance of 43.45 feet.

The first three seconds of a race saw a runner's speed rapidly grow.

The time is therefore 3 seconds.

The table provides her speed at half-second intervals.

We are aware,

Speed = Distance / Time

Similarly

Distance = Speed × Time

t equals 0.5 seconds

Then, the lower distance traveled overall is equal to 0.5(0 + 6.7 + 9.2 + 14.1 + 17.5 + 19.4).

Terms are multiplied and added.

= 0.5 × 66.9

= 33.45 feet

The upper distance traveled is equal to 0.5 (6.7 + 9.2 + 14.1 + 17.5 + 19.4 + 20)

= 0.5 × 86.9

= 43.45 feet

As a result, Her lower distance in three seconds is therefore 33.45 feet, and her upper distance in three seconds is 43.45 feet.

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Answer:

1/3 kg/m3

Step-by-step explanation:

density= mass/volume

mass=40 kg

volume=5m×8m×3m=120m³

density=40kg/120m³=1/3 kg/m³

Answer:

1/3 kg per cubic m or 0.33kg per cubic m

Step-by-step explanation:

density = mass

                volume

=     40kg          =     40kg

5m x 8m x 3m  =    120cubic metres

= 1/3 kg per cubic m or 0.33 kg per cubic m