Which describes the number and type of roots of the equation 4x + 7 = 0?
O a. 2 real roots
Ob. 1 real root
Od. 1 real root and 1 imaginary root
Oc. 1 imaginary root

Answer:

510

Step-by-step explanation:

10/100 = 51

10*10/100 = 51*10

100/100 = 510

The values οf r that satisfy this inequality will make the οriginal inequality 6r < -84 true. Therefοre, the cοrrect answer is:

Equivalent Inequality: -19 < r < -9.

When twο expressiοns οr values are nοt equal tο οne anοther, this relatiοnship is knοwn in mathematics as "inequality." As a result, imbalance leads tο inequality.

Tο sοlve the inequality 6r < -84, we need tο divide bοth sides by 6, remembering that when we divide οr multiply an inequality by a negative number, we need tο flip the directiοn οf the inequality.

6r < -84

r < -14

Sο, the values οf r that make the inequality 6r < -84 true are:

-19, -15, -13, -9

Tο write an equivalent inequality in terms οf r, we simply write:

r < -14

Sο, the equivalent inequality in terms οf r is

-19 < r < -9

The values οf r that satisfy this inequality will make the οriginal inequality 6r < -84 true. Therefοre, the cοrrect answer is:

Equivalent Inequality: -19 < r < -9.

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We have that   the percent of increase in the temperature   is mathematically given as
P=81.376%

Question Parameters:

During an experiment, the temperature of a solution changes from 945°F to 1714°F.

Generally the equation for the Rise in temperature is  is mathematically given as

945=1714*x

x=0.55

Therefore

55% of 1714 gives 945

Hence, The parentage increase is

P=(1714-945)/945*100

P=81.376%

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Answer:

the answer is 76.02

Step-by-step explanation: K12 orva 7th grade 2.04 Quiz: Percent Increase or Decrease

The equivalent fractions for the mixed numbers, with the same denominator, are given as follows:

32/12 and 27/12.

The mixed numbers in the context of this problem are given as follows:

The fractions that represent each number are given as follows:

The least common factor of 3 and 4 is given as follows:

3 x 4 = 12.

Hence the equivalent fractions are given as follows:

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The slope of the lines on the graph are:

Line AB = 2

Line CD = -1/3.

Line EF = 0

Line GH = 1/5

Line IJ = -5/2

Line KL = -2/7

Line MN = undefined

Line PQ = 1

Tp find the slope of a line on a graph, find the ratio of the ris to the run along the line on the graph.

Declining line has a negative slope while a rising line has a positive slope. Therefore:

Line AB = rise / run = 4/2 = 2

Line CD = rise/run = -2/6 = -1/3.

Line EF = rise/run = 0/4 = 0

Line GH = rise/run = 1/5

Line IJ = rise/run = -5/2

Line KL = rise/run = -2/7

Line MN = rise/run = 3/0 = undefined

Line PQ = rise/run = 3/3 = 1

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The incircle centered at point P has a radius of 7 units.

Here given that,

PA = 12 units.

PZ = 7 units

The complete question is :

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

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The rate of work obtained from the 240 and 400 minutes it takes for the large and small pumps to remove the water alone respectively, gives the duration it takes for the two pumps to remove the water working together as 150 minutes.

The rate of work in completing a project is given by the reciprocal of the time it takes to complete the project.

The given parameters are;

The time it takes the larger pump to remove the water, A = 240 minutes

The time it takes the smaller pump to remove the water, B = 400 minutes

The rate of doing work by the larger pump = \(\frac{1}{240}\)

The work rate of the smaller pump = \(\frac{1}{400}\)

The rate of work of the two pumps combined, \(\frac{1}{r}\), is therefore;

\(\dfrac{1}{A} +\dfrac{1}{B} = \dfrac{1}{r}\)

Where;

r = The time it takes for the two pumps to remove the water together

Which gives;

\(\dfrac{1}{240} +\dfrac{1}{400} = \dfrac{1}{150} = \dfrac{1}{r}\)

∴ r = 150

The time it takes for the two pumps to remove the water together is 150 minutes

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Answer: 150 min

(I completed the question)                  

a) Using the given recurrence,

\(x_2 = \dfrac{{x_1}^3-1}4 = \dfrac{(-1)^3-1}4 = -\dfrac12 = -0.5\)

\(x_3 = \dfrac{{x_2}^3-1}4 = \dfrac{\left(-\frac12\right)^3-1}4 = -\dfrac9{32} = -0.28125\)

b) Proceeding as above, you'll find that successive values of \(x_n\), starting at n = 7, gravitate towards a solution of about -0.254102.

Answer:

116 miles

Step-by-step explanation:

Given

\((x_1,y_1) = (-41,3)\) --- Camp 1

\((x_2,y_2) = (75,3)\) --- Camp 2

Required

The distance between both camps

This is calculated using:

\(d^2 = \sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}\)

\(d^2 = \sqrt{(-41-75)^2 + (3-3)^2}\)

\(d^2 = \sqrt{(-116)^2 + (0)^2}\)

\(d^2 = \sqrt{116^2}\)

\(d = 116\)

The distance is 116 miles

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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Answer:

YU = 4.82.  angle STR = 23°

Step-by-step explanation:

7) Angle between U and V = 72°, since angles on a straight line add up to 180°. so angle UV = 180 - 108 = 72°.

similarly, angle YU = 180 - 85 - 72 = 23°.

length of circumference of full circle = π X diameter = π (2r)

= 2πr (radius = half of diameter).

circumference = 2π(12) = 24π.

there are 360° in full circle.

remember that angle YU = 23°.

length YU = (23/360) X 24π

= (23π)/15

= 4.817

= 4.82 to nearest one hundredth.

8) triangle RST sits inside of half the circle, ie in the semicircle.

angle RST = 90° because the angle in a semicircle =  90°.

there are 180° in a full triangle.

since angle RST = 90°, angle STR must be less than 180 - 90.

angle STR < 90°. so STR must be 23°.

Answer:

It is A, D and E.

Step-by-step explanation:

A-The population size does not need to be known.

D-Unknown patterns of differences in the population can be difficult to detect.

E-Every member of a population does not need to be known.

___

Just took the test on ed2022

The advantage of systematic random sampling is

The Disadvantage of systematic random sampling is

Unknown patterns of differences in the population can be difficult to detect.

A probability sampling technique called systematic sampling involves picking people from the population at regular intervals, such as every 15th person on a list of the population. This can mimic the advantages of straightforward random sampling if the population is arranged in a random order.

Given:

From the Definition

The advantage of systematic random sampling is

It is not necessary to know the population's size.

and, A population need not contain all of its members.

and, the Disadvantage of systematic random sampling is

It can be challenging to identify population differences with unknown patterns.

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Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer:

$368.27

Step-by-step explanation:

495.00*0.20=$99

495-99=396

396-35=361

361*1.07=386.27

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

7x−3=18

Step 1: Add 3 to both sides.

7x−3+3=18+3

7x=21

Step 2: Divide both sides by 7.

7x/7 = 21/7

x=3

Answer:

1 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

8x + -20 = 3x + 5

-20 + 8x = 3x + 5

-20 + 8x = 5 + 3x

-20 + 8x + -3x = 5 + 3x + -3x

-20 + 5x = 5 + 3x + -3x

-20 + 20 + 5x = 5 + 20

0 + 5x = 5 + 20

5x = 5 + 20

x = 5

x=5

20)

The sketch of the given data is

By observing the sketch, the longest line is A.

Hence the specimen A is the longest.

21)

In the microscope, the size of the specimen is 0.75cm long.

It is given that the microscope enlarges the actual length 100 times.

Substitute Size=0.75, we get

Hence the actual length of the specimen is 0.0075cm.

Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.

The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.

The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).

The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.

So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.

Correct option is D.

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Complete question is:

What are the domain and range of the function f(x)=-x+3-2?

A) domain: -3 -2

B) domain: -3 -3 range: y<-2

C) domain: x>-3 range:y>-2

D) domain : x>-3 range: y ≤ 2

If it takes 15 minutes to preheat your oven to 325 degrees.

a.  The formula to express the total time T, in minutes, needed to preheat the oven and then bake a turkey weighing p pounds is: T = 15 minutes  +  p × 14 minutes/pound.

b. The approximate time required to prepare a turkey weighing 15 pounds is  284 minutes.

a. Total time

Preheat time = 15 minutes

Turkey time = p × 14 minutes/pound

Total time = T = 15 minutes  +  p × 14 minutes/pound

b. Approximate time required to prepare a turkey

p = 19 pounds

T = 15 minutes + 19 pounds× 14 min/pound

T = 15 minutes + 266 minutes

T = 284 minutes (4 hrs 44 min)

Therefore the formula to express the total time T  is: T = 15 minutes  +  p × 14 minutes/pound and the approximate time required to prepare a turkey weighing 15 pounds is  284 minutes.

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Answer:

the gram

Step-by-step explanation:

casegunnell is my gram, follow if your a real g

Following are the calculation to the given points:

When the ABCD is parallelogram:

The properties of parallelogram:

\(\to \angle CBD = \angle ADB \\\\\)

\(\to \angle BCA = \angle DAC \\\\\)

When the Two-lines are parallel and alternate interior angles are equal:

\(\to \Delta BEC \cong \Delta AED \ \ \ \ \ \ \ \{ASA\} \\\\\to \overline {AE} \cong \overline{CE}\\\\ \to \overline{BE} \cong \overline{ED} \\\\\)

When the properties of congruent triangle.

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To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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Answer:

Median is 30.6

Step-by-step explanation:

Plot the numbers on a chart

I put the chart below!

Answer:

The passenger train is traveling at 45 mph, and the freight train is traveling at 27 mph.

Step-by-step explanation:

Let's assume the speed of the passenger train is represented by x mph.

According to the given information, the freight train leaves the depot 2 hours before the passenger train. Therefore, when the passenger train starts, the freight train has already been traveling for 2 hours.

Let's represent the speed of the freight train as (x - 18) mph, which is 18 mph slower than the passenger train.

Now, we know that the passenger train overtakes the freight train in 3 hours. This means that the passenger train traveled for 3 hours, while the freight train traveled for 3 + 2 = 5 hours.

Since speed = distance/time, we can set up the following equation based on the distances covered by each train:

Distance covered by passenger train = Distance covered by freight train

Using the formula, distance = speed × time, we get:

x × 3 = (x - 18) × 5

Simplifying the equation:

3x = 5x - 90

90 = 5x - 3x

90 = 2x

Dividing both sides by 2:

45 = x

So, the speed of the passenger train is 45 mph.

The speed of the freight train is 45 - 18 = 27 mph.

Answer:

3

Step-by-step explanation:

Answer:

d=483t

Step-by-step explanation:

If i recall correctly

distance = velocity * time

This means that

d=483t