Plsss helpppp
Plsss I don’t get it

Plsss HelppppPlsss I Dont Get It

Answers

Answer 1

Answer:

C. <2 and <10

Step-by-step explanation:

Corresponding angles are angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

When looking at <2 and <10 you can see that they both have the same position by the lines intersection.

Answers A. and B. aren't corresponding angles.


Related Questions

Chase ordered a set of beads. He received 4,000 beads in all. 3,000 of the beads were green. What percentage of the beads were green?

Answers

75% of the beads are green in color.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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If in a population the rate of mutation that converts the A allele to the a allele is 10^-6 and the current frequency of the A allele is 0.75 and the a allele is 0.25, then the frequency of the A and a alleles in the next generation will be
Multiple Choice
O A: 0.74 a: 0.26
O A: 0.75000075 a: 0.24999925
O A: 0.75 a: 0.25
O A: 0.74999925 a: 0.25000075

Answers

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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Composition of functions:determine the equation of (gof)(x) image attached much appreciated

Composition of functions:determine the equation of (gof)(x) image attached much appreciated

Answers

In general, the definition of the function composition is given by the expression below

\((g\circ f)(x)=g(f(x))\)

Therefore, in our case,

\((g\circ f)(x)=g(-\frac{1}{\sqrt{x}})=1(-\frac{1}{\sqrt{x}})^3+19(-\frac{1}{\sqrt{x}})^2+16=-\frac{1}{x^{\frac{3}{2}}}+\frac{19}{x}+16\)Then, the answer is\(\Rightarrow(g\circ f)(x)=-\frac{1}{x^{\frac{3}{2}}}+\frac{19}{x}+16\)

In a geometric sequence, the 1st term is 8 and the 3rd term is 72. Given a positive common ratio, find the 7th term.

Answers

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

= a

where a is the first term and r the common ratio

Both a and r have to be found

Given a₃ = - 2, then

ar² = - 2 → (1)

Given a₇ = - 32, then

a = - 32 → (2)

Divide (2) by (1)

= , that is

= 16 ( take the fourth root of both sides )

r = 2 ← common ratio

Substitute r = 2 into (1)

a × 2² = - 2, that is

4a = - 2 ( divide both sides by 4 )

a = -  ← first term

Hence

= -  ← explicit formula

and

= -  ×  = - 0.5 × 512 = - 256

Step-by-step explanation:

What is the distance between the two points plotted? A graph with the x-axis starting at negative 10, with tick marks every one unit up to 10. The y-axis starts at negative 10, with tick marks every one unit up to 10. A point is plotted at negative 6, 4 and at negative 6, negative 6.

Answers

The distance between the two points plotted is 10 units .

Given,

Point 1 = negative 6, 4 = (-6 , 4) =( \(x_{1}, y_{1}\) )

Point 2 = negative 6, negative 6 = (-6 , -6) = ( \(x_{2} ,y_{2}\) )

Now,

According to the distance formula,

Distance =   \(\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2 }\)

Substitute the values in the distance formula,

Distance = \(\sqrt{(-6 - (-6))^2 +(-6 - (4))^2}\)

Distance = 10 units

Hence, distance between two points is 10 units.

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HELP HELP HELP!!!! SHOW ALL WORK

HELP HELP HELP!!!! SHOW ALL WORK

Answers

Answer:

Step-by-step explanation:

1)  The ladder is the hypotenuse.

2)  a² + b² = c²

    5² + 12² = c²

   25 + 144 = c²

    169 = c²

    √169 = √c²

   13 = c

The length of the ladde is 13ft.

3)  Make the wall 17 ft (12 + 5)

     5² + 17² = c²

    25 + 289 = c²

     314 = c²

  √314 = √c²

    17.72 = c

The lenght of the ladder is now 17.72 ft

please help me there is a pic thankyou ​

please help me there is a pic thankyou

Answers

Answer:

2

Step-by-step explanation:

y^m x y^n = y^m+n

so y^-4 x y⁶ = y^-4+6

-4+6=2

NOTE: ^ means to the power of

e.g: y^2 is y² :)

n=2 since the bases are the same which is y you can just add them -4+6=2.

Excision of benign lesions on chest, 0.4 cm, with simple closure.(CPT CODE??)

Answers

Excision of

benign lesions

on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.

The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a

surgical

procedure performed to remove a benign lesion, which is a tumor that is not

cancerous

.

The

excision

of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the

lesion

from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.

The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue

rearrangement

or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.

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The figure below is a net for a right rectangular prism. Its surface area is 416 m² and the area of some of the faces are filled in below. Find the area of the missing faces, and the missing dimension.

The figure below is a net for a right rectangular prism. Its surface area is 416 m and the area of some

Answers

The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

What is area?

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

a = [A-2(48+120)]/2.............. Equation 1

Where:

a = Area of each missing facesA = Total surface area of the rectangular prism

From the question,

Given:

A = 416 m²

Substitute these values into equation 1

a = [416-2(48+120)]/2a = (416-336)/2a = 40 m²

And the length of each of the missing edge can be calculated using the formula below

Formula:

l = a/w.................Equation 2

Where:

l = Length of each of the missing edgew = width of each of the missing edge

From the diagram in the question,

Given:

w = 4 ma = 40 m²

Substitute into equation 2

l = 40/4l = 10 m

Hence, the length is 10 m.

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pls answer this. I need it badly. PLS. I beg u. HELP ME.....................

pls answer this. I need it badly. PLS. I beg u. HELP ME.....................

Answers

A= (x+5) x (3x-2)
B= x+5/3x+2
Please mark brainelist

Answer:

a) 3x^2+ 13x-10

3x^2+15x-2x-10

3x(X+5)-2(X+5)

(3x-2)(X+5)

4 qt =
С

Show me the steps please

Answers

Answer:

cups =15.99994. according to the holy bible.

Step-by-step explanation:

construct and interpret a 95% confidence interval for the true mean difference. does the interval provide convincing evidence of a difference in the mean price per gallon of diesel fuel and regular unleaded gasoline?

Answers

The 95% confidence interval for the mean difference in price per gallon of diesel fuel and regular unleaded gasoline is approximately (-0.209, 0.369). The interval includes zero, indicating no convincing evidence of a significant difference between the two fuel types.

To construct a 95% confidence interval for the true mean difference in the price per gallon of diesel fuel and regular unleaded gasoline, we can use the provided data. The sample mean difference is calculated by taking the average of the observed differences, and the standard error of the mean difference is calculated using the formula mentioned earlier.

From the given data, the sample mean difference is 0.08 (calculated as the average of the observed differences), and the standard error of the mean difference is 0.135.

To calculate the confidence interval, we need the critical value corresponding to a 95% confidence level. Since the sample size is not provided, we'll assume a reasonably large sample size and use the critical value of 1.96 for a two-tailed 95% confidence interval.

Using the formula for the confidence interval

Confidence Interval = D ± (t * SE(D))

Confidence Interval = 0.08 ± (1.96 * 0.135)

Calculating the confidence interval

Lower bound = 0.08 - (1.96 * 0.135) ≈ -0.209

Upper bound = 0.08 + (1.96 * 0.135) ≈ 0.369

The 95% confidence interval for the true mean difference in the price per gallon of diesel fuel and regular unleaded gasoline is approximately (-0.209, 0.369).

Since the confidence interval contains both positive and negative values, including zero, we can conclude that there is not convincing evidence of a statistically significant difference in the mean price per gallon of diesel fuel and regular unleaded gasoline.

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--The given question is incomplete, the complete question is given below "  Construct and interpret a 95% confidence interval for the true mean difference. Does the interval provide convincing evidence of a difference in the mean price per gallon of diesel fuel and regular unleaded gasoline? OH OH OH OH OH OH OH IN 0 IN IN Regular Unleaded 2.27 2.25 2.25 2.25 2.25 2.29 2.07 2.15 2.14 2.07 2.07 2.14 2.29 2.25 2.29 2.25 2.25 2.19 Diesel 2.15 2.35 1.85 2.47 2.45 2.47 2.28 2.28 2.28 2.29 2.28 2.28 2.26 2.24 2.26 2.27 2.25 2.39 Difference -0.12 0.1 -0.4 0.22 0.2 0.18 0.21 0.13 0.14 0.22 0.21 0.14 -0.03 -0.01 -0.03 0.02 0 0.2 2 IN IN IN HE IN IN IN 3 IN IL IN IN IN 0.14 0.22 IN IN IN IN 0.21 0.14 -0.03 -0.01 -0.03 0.02 IN IN IL 2.14 2.07 2.07 2.14 2.29 2.25 2.29 2.25 2.25 2.19 2.29 2.29 1.99 1.99 1.99 1.99 1.99 1.99 2.28 2.29 2.28 2.28 2.26 2.24 2.26 2.27 2.25 2.39 2.35 2.35 2.41 2.45 2.38 2.47 2.39 2.47 0 0.2 IL IL IL 0.06 0.06 0.42 0.46 0.39 0.48 0.4 0.48 IL IL IL IL IL IL IL ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ ΜΟ 2.25 2.19 2.35 2.19 2.19 2.17 2.17 2.17 2.17 2.19 2.19 2.06 2.15 2.04 2.04 1.89 1.87 1.99 2.35 2.38 2.39 2.06 2.06 2.06 2.06 2.07 2.09 2.06 2.06 2.13 2.13 1.99 1.95 2.05 2.25 2.07 0.1 0.19 0.04 -0.13 -0.13 -0.11 -0.11 -0.1 -0.08 -0.13 -0.13 0.07 -0.02 -0.05 -0.09 0.16 0.38 0.08 MO MO MO MO MO MO MO KS KS KS KS 1.95 1.99 1.99 1.99 1.91 1.87 1.99 2.05 2.05 1.97 1.88 1.87 1.89 1.89 1.99 2.25 1.89 2.09 2.18 2.21 2.07 2.09 2.15 2.18 2.05 2.04 2.04 2.34 2.35 2.23 2.35 2.16 2.15 2.18 2.04 2.27 0.23 0.22 0.08 0.1 0.24 0.31 0.06 -0.01 -0.01 0.37 0.47 0.36 0.46 0.27 0.16 -0.07 0.15 0.18 KS KS KS KS KS KS KS KS KS KS KS KS KS KS KS KS CO CO СО CO CO CO CO СО Co 1.96 1.99 2.09 2.11 2.09 2.09 1.93 1.93 1.97 2.14 2.21 2.05 2.05 2.15 2.05 2.19 2.09 2.07 2.15 2.33 2.23 2.19 2.29 2.34 2.24 2.39 2.15 2.18 2.18 2.37 2.35 2.28 2.09 2.09 2.35 1.99 0.19 0.34 0.14 0.08 0.2. 0.25 0.31 0.46 0.18 0.04 -0.03 0.32 0.3 0.13 0.04 -0.1 0.26 0.08 "--

What is the heaviest element ever?

Answers

Oganesson (element 118) is the heaviest element ever discovered, with an atomic mass of 294. Its most stable isotope (294Og) has a half-life of 0.89 milliseconds.

Oganesson is a synthetic element, meaning that it can only be produced in the laboratory, not found in nature. Oganesson is part of the noble gas group and is expected to exhibit some noble gas properties, although its exact behavior is unknown. It is the heaviest element on the periodic table and its atomic number is 118.

It is the heaviest known element and is also the last element of the periodic table. It is a member of the noble gases and has the atomic number 118. It was discovered in 2002 and is named after the Russian physicist Yuri Oganessian. Its symbol is Og.

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Determine whether or not the function is one-to-one, and if it is, determine its inverse function

Answers

Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

What is a horizontal line test?

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

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Binding constraints have
surplus resources.
zero slack.
negative slack
positive slack

Answers

Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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Select the statement that shows equivalent measurements.

5.2 meters = 0.52 centimeters
5.2 meters = 52 decameters
52 meters = 520 decimeters
5.2 meters = 5,200 kilometers

Answers

The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

When a dilation occurs the original figure is

Answers

Answer:

A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).

Step-by-step explanation:

Find the volume of the solid formed by rotating the region enclosed by ( y=e^{5 x}+2, y=0, x=0, x=0.3 ) about the ( x )-axis. Enter your answer as an approximation, accurate up to three or more decimal places. V=

Answers

The volume of the solid formed by rotating the region enclosed by the curves y = e^(5x) + 2, y = 0, x = 0, and x = 0.3 about the x-axis is V = 0.075.

The volume of the solid formed by rotating the region enclosed by the curves y = e^(5x) + 2, y = 0, x = 0, and x = 0.3 about the x-axis is calculated using integration techniques.

The volume of the solid obtained by rotating the given region about the x-axis is approximately 0.075.

To find the volume, we can use the formula for the volume of a solid of revolution, which is V = ∫[a,b] πy^2 dx, where [a,b] is the interval of integration. In this case, the interval is from x = 0 to x = 0.3. Thus, we need to evaluate the integral V = ∫[0,0.3] π(e^(5x) + 2)^2 dx. By calculating this integral numerically, we find that V is approximately 0.075.

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Help, teachers asking me to do this independently but I barely understand. Help ASAP!!!
(Saying this again cause no ones active rn) :(

Help, teachers asking me to do this independently but I barely understand. Help ASAP!!! (Saying this

Answers

Answer:

9

Step-by-step explanation:

2 x 2 x 2 = 8

8 - (8 - 4) + 5

(8 - 4)= 4

8 - 4 = 4

4 + 5 = 9

A kite is inscribed within a square with a side lengths of 9 units. A kite is inscribed in a square with a side length of 9 units. What is the area of the kite? 27. 5 square units 36. 0 square units 40. 5 square units 45. 0 square units.

Answers

Answer:

40.5 Units

Step-by-step explanation:

The area of a kite is A = (d1d2) / 2, where d1 and d2 are the diagonals of the kite.

Since the kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.

d1 = 9 units

d2 = 9 units

A = (9units * 9units) / 2

A = 81units² / 2

A = 40.5 units²

construct a frequency distribution. use a first class having a lower class limit of 35000 and a class width of 5000.

Answers

The frequency distribution table might look like this:

Class Interval | Frequency

35,000 - 40,000 | 8

40,000 - 45,000 | 12

45,000 - 50,000 | 10

... | ...

To construct a frequency distribution with a lower class limit of 35,000 and a class width of 5,000, we would need the actual income data and the frequency (number of occurrences) for each income value. Without the specific data, I cannot provide the frequency distribution table. However, I can guide you on how to create one using your data.

Assuming you have a dataset of income values and their frequencies, follow these steps to construct the frequency distribution:

Determine the class boundaries:

The lower class limit is 35,000.

The upper class limit can be found by adding the class width to the lower class limit: 35,000 + 5,000 = 40,000.

Class boundaries define the range of values for each class interval. In this case, the class boundaries for the first class are 35,000 (inclusive) and 40,000 (exclusive).

Create the class intervals:

Based on the class boundaries, you can create class intervals. For example, the first class interval would be "35,000 - 40,000".

Collect the data values and count the frequency of each value falling within the given class boundaries:

Go through your dataset and count the number of income values that fall within each class interval. Sum up the frequencies for each class interval.

Create a frequency distribution table:

Create a table with two columns: "Class Interval" and "Frequency".

List the class intervals in the "Class Interval" column.

Enter the frequencies in the "Frequency" column corresponding to each class interval.

For example, the frequency distribution table might look like this:

Class Interval | Frequency

35,000 - 40,000 | 8

40,000 - 45,000 | 12

45,000 - 50,000 | 10

... | ...

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complete question:

(a) Construct a frequency distribution. Use a first class having a lower class limit of 35,000 and a class width of 5000.

Income

Frequency

write an equation of a line that passes through the point (4,2) with a slope of 1/4​

Answers

Answer:

Slope Intercept Form: y = \(\frac{1}{4}\) x + 1

Point Slope Form: y - 2 = \(\frac{1}{4}\) × (x - 4)

Standard Form: 1x - 4y = -4

Step-by-step explanation:

Answer:

\(y=\frac{1}{4} x+1\)

Step-by-step explanation:

A linear equation needs two pieces of information: the slope of the line, and its y-intercept. Since we are already given the slope we can plug that into the standard equation format:

y=mx+c, where m=slope and c=y-intercept

y=1/4x+c

Now we just need to find the y-intercept.

To find it we are given a point: (4,2), which we can use to trace back to the y-intercept using the slope. The slope of the line of 1/4. This means that the point before it is located 4 units to the left on the x intercept, and 1 unit lower on the y-intercept. Conveniently, this gives us our y-intercept, as the x values 4-4=0. The y value is 1 (2-1) so our y-intercept is 1!

So now we have our equation:

y=1/4x+1

Hope this helped!

A pair of Jordans is normally $180. It is on sale for 20% off.
Find the price after the discount.

i need helpppp

Answers

Answer:

144$

Step-by-step explanation:

180/100 = 1.8 subtracted from the price per percent

1.8*20 = 36

180-36 = 144

PLEASE ANSWER ASAP!!!

PLEASE ANSWER ASAP!!!

Answers

Answer:

False

Step-by-step explanation:

Step-by-step explanation:

YOU ARE CORRECT

\( {7}^{(1 \times 9)} = {7}^{5 + 5} \\ {7}^{9} \: \: \: \: \: \: \: \: \: \: \: {7}^{10} \)

the equation is false

Determine whether the point (0,0) is in the solution set of each inequality.

Determine whether the point (0,0) is in the solution set of each inequality.

Answers

a) No

b) Yes

1) Let's check algebraically whether (0,0) is the solution set

-2x +3y > 9 Plug into x and y the values of 0,0

-2(0) +3(0) > 9

0 > 9 FALSE! Since 0 can't be greater than 9

1.5x - y ≥ -4 Plug into x and y the values of 0,0

1.5(0) -0 ≥ -4

0 ≥ -4 True

2) Hence, point (0,0) verifies only the second equation.

Please help!
In the figure below, what is the value of X ?
A. 53
B. 65
C.180
D. 127

Please help! In the figure below, what is the value of X ? A. 53 B. 65 C.180D. 127

Answers

Answer:

53

Step-by-step explanation: all angles of a triangle add up to 180

Solve x2 + 6x = -6. If exact roots cannot be found, state the consecutive
integers between which the roots are located.

Answers

x²+6x=-6 ‖+6

x²+6x+6=0

x1=-(6/2)+√((6/2)²-6)= -3+√(3) or ≈ -1.267

x2=-(6/2)+√((6/2)²-6)= -3-√(3) or ≈ -4.732

The roots of the quadratic equation, x² + 6x = - 6 are between - 2 and - 1,

and 1 and 2.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, x² + 6x = - 6.

We know in ax² + bx + c = 0, x = ± √(b² - ac)/2a.

∴ x² + 6x + 6 = 0.

x = ± √(36 - 24)/2×1.

x = ± √(12)/2.

x = ± (2√3)/2.

x = ± √3.

We know √3 is between 1 and 2 and - √3 is between - 2 and - 1.

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The Chambers family has a net monthly income of $6,500.

A circle graph titled Chambers Family Budget. Housing is 25 percent, Food is 20 percent, Savings is 7 percent, Transportation is 12 percent, medical is 10 percent, clothing is 18 percent, emergency fund is 8 percent.

If the family decides to reduce its clothing budget by $200 a month, how much will the new clothing budget be? Round to the nearest dollar.
$161
$853
$970
$1,170
Mark this and return

Answers

The new clothing budget is $161.

The original price is 361. If you reduce that by 200, it is 161.

Match each vertex in ABC to its corresponding vertex in the dashed triangle.

Match each vertex in ABC to its corresponding vertex in the dashed triangle.

Answers

A -> A

B -> E

C -> D

Theyre similar triangles, ABC = AED

The corresponding vertex of the similar triangles are

A ≈ A

B ≈ E

C ≈ D

The triangles ABC and AED are similar triangles

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ABC

Let the second triangle be represented as AED

The measure of AB = 3

The measure of AD = 8

The measure of AC = 4

The measure of AE = 6

Now , for the similar triangles , corresponding sides of similar triangles are in the same ratio

So ,

AB / AE = AC / AD

Substituting the values in the equation , we get

3/6 = 4/8

1/2 = 1/2

Therefore , the triangles are similar

Hence , the triangles ABC and AED are similar triangles

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The Laplace transform of f(t) = 3e-5tu(t-2) is:

Answers

The Laplace transform of f(t) is 3/(s + 5) * \(e^{-2s\).

To find the Laplace transform of f(t) = 3\(e^{-5t\)u(t-2), where u(t) is the unit step function, we can apply the properties and formulas of the Laplace transform.

The Laplace transform of \(e^{-at\) is given by:

L{\(e^{-at\)} = 1/(s + a)

Using this property, we can calculate the Laplace transform of f(t):

L{f(t)} = L{3\(e^{-5t\)u(t-2)}

= 3 * L{\(e^{-5t\)u(t-2)}

= 3 * (1/(s + 5)) * \(e^{-2s\)

Since the Laplace transform of the unit step function u(t - a) is 1/(s \(e^{-as\)), we substitute a = 2 in the formula.

Therefore, the Laplace transform of f(t) = 3\(e^{-5t\)u(t-2) is:

L{f(t)} = 3/(s + 5) * \(e^{-2s\)

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