What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
a.
-8, -13, -18
c.
2, 7, 12
b.
3, 8, 13
d.
0, 5, 10

Answer:

B:4

Step-by-step explanation:

i took the test

Answer    :Isaac wants the equation below to have no solution when the missing number is placed in the box.

Box (x + 2) + 2 x = 2 (x + 6) + 4 x

Which number should he place in the box?

2

4 this one

6

8

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5.5 litres paint needed for 1 stool

1  litres paint needed for  1/ 5.5

20 litres paint needed for  20/5.5

= 3.636

And now comes the twist, you can't paint 3.6 stools. also You can't paint 4 stools. You need to round down to 3

Answer:

no solution

Step-by-step explanation:

The solution to a system of equations is at the point of intersection of the 2 lines.

The lines are parallel and never intersect.

Tgus the system has no solution

Answer:

Below

Step-by-step explanation:

Circumference of a circle = pi * diameter

                             circumference of ferris wheel = 3.14159 * 520=1633.6 ft

Answer:

A

Step-by-step explanation:

We have the expression \(k+(2k-10)\)

We want to find the value when k is -3. So, substitute -3 for k and evaluate:

\(\Rightarrow (-3)+(2(-3)-10)\)

Multiply:

\(=-3+(-6-10)\)

Subtract:

\(=-3+(-16)\)

Add:

\(=-19\)

Therefore, our answer is A.

The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h).

Planck's constant is the elementary quantum of action. Its unit  is the metre-kilogram-second or Joule second. It is denoted by h and has a value of 6.62607015 × 10⁻³⁴ joule second.

The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h). It is given by:

E = hf

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Answer:

Planck's constant is used to relate the energy in one quantum of electromagnetic radiation to the frequency of that radiation.

Step-by-step explanation:

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To remove the hyphen after the sixth digit in a ten-digit phone number in cell D4, you can use the SUBSTITUTE function in Excel. The SUBSTITUTE function allows you to replace specific characters in a text string with new characters.

To remove the hyphen after the sixth digit in a ten-digit phone number, you can use the SUBSTITUTE function in Excel. The SUBSTITUTE function takes four arguments: the original text, the text you want to replace, the replacement text, and an optional argument for the occurrence number.

In this case, assuming the ten-digit phone number is in cell D4, you can use the following formula:

=SUBSTITUTE(D4, "-", "", 2)

The first argument, D4, represents the original text in cell D4. The second argument, "-", represents the hyphen you want to replace. The third argument, "", is an empty string, which means the hyphen will be replaced with nothing. The fourth argument, 2, specifies that you want to replace the second occurrence of the hyphen.

By using this formula, the hyphen after the sixth digit in the phone number will be removed, and you will obtain the desired result.

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Answer:

49.87%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70%

σ is the population standard deviation = 8%

a) For x = 70%

z = 70% - 70%/8%

z = 0

Probability value from Z-Table:

P(x = 70) = 0.5

b) For x = 70%

z = 94% - 70%/8%

z = 3

Probability value from Z-Table:

P(x = 94) = 0.99865

The probability of students that receive between a 70% and 94%

P(x = 94) - P(x = 70)

0.99865 - 0.5

0.49865

Therefore, the percentage of students that receive between a 70% and 94% is

0.49865 × 100

= 49.865%

Approximately = 49.87%

A SSS (side-side-side) theorem is kind of Congruence rule where two triangles with three congruent sides. So, we can solve it by showing the congruency between two triangles.

Statement: Side-Side-Side (SSS) ,the congruence theorem states that two triangles are congruent if three of their sides are equal to the corresponding sides of the other triangle.

Proof: Given, AB = DE, BC = EF, AC = DF.

To prove: ΔABC ≅ ΔDEF.

We know that the three sides of both triangles are equal in size and length. With both triangles superimposed, DE is placed on AB, EF is placed on BC, and DF is placed on AC. That is, AB = DE, BC = EF, AC = DF. Therefore, we can say that ΔABC ≅ ΔDEF.

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If the initial population is 3800. The population of cockroaches after 3 years will be 1603.

Consider the function:

y = a(1 ± r)ⁿ

where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, there is exponential growth happening by r fraction or r%.

If there is a minus sign, there is exponential decay happening by r fraction or r%.

If the population is currently 3,800 cockroaches.

The expression is given as

y = 3800(0.75)ⁿ

The population of cockroaches after 3 years will be

y = 3800(0.75)³

y = 3800 x 0.4218

y = 1603.125

y ≅ 1603

Hence, the population of cockroaches after 3 years will be 1603.

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The complete question is:

Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.

The limit is evaluated using the l'Hospital's rule. The first step in solving the given limit is to substitute the value of\(`0`\) in the denominator as follows:

In this problem, we are supposed to find the limit using L'Hospital's rule if applicable, and if the rule doesn't apply, we are supposed to explain.

Thus, to start with, let's substitute the value of `0` in the denominator.

We get :

\(lim 0->\pi /2 1−sin(0) / csc(0) \\ lim 0->\pi /2 1 / csc(0) \\ lim 0->\pi /2 sin(0)\)

Since \(`sin(0)`\) is equal to\(`0`,\) the given limit evaluates to \(`0`\).

The l'Hospital's rule is not applicable in this problem as the given function does not satisfy the conditions required for the application of this rule. Therefore, we have to find the limit using an elementary method.

Finally, we can conclude that the given limit evaluates to \(`0`\).

The given limit is evaluated using the substitution method. After substitution of\(`0`\), the limit evaluates to\(`0`\). The L'Hospital's rule is not applicable to this problem.

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Answer:

as below

Step-by-step explanation:

1st  the difference is 4  b/c half of 4 = 2

and

2*smaller +greater = 13

so check out small number that are 4 apart.. like 2 and 6

2(2)+6 =10

2(3) +7 = 13  aahh hah..  that's it

3 and 7 are the numbers being hunted :P

Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.

The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.

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Complete Question

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?

Answer: 5 terms.

Step-by-step explanation:

We know that the n-th term of a sequence is:

Aₙ = n² + 20

Where n can be any natural number, then n ∈ {1, 2, 3, ...}

We want to find how many terms are smaller than 50.

Then we could find the first value of n such that Aₙ is equal or larger than 50.

Then we can solve:

Aₙ = n² + 20 = 50

then:

n² = 50 - 20 = 30

n = √30 = 5.48

This is not a natural number, so we need to round to the next one that is n = 6

This means that the first natural number n such that Aₙ is equal or larger than 50 is n = 6, then for the values:

n = 1, 2, 3, 4, 5

Aₙ is smaller than 50

This means that there are 5 terms of the sequence that are smaller than 50.

Answer:

90 degrees

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2/3 of 60 is 40. 1/4 of 40 is 10

Answer:

242.9 grams

Step-by-step explanation:

Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams

The answers are:  (I) F, (II) F, (III) T

(I) False. Saltwater is an example of a homogeneous mixture, also known as a solution, where the salt particles are evenly distributed throughout the water. It is not possible to separate salt from water by simple physical means like filtration. To separate the salt from saltwater, a process like evaporation or distillation is required.

(II) False. Coulomb's Law states that the interaction between charges decreases as the distance between them increases. The law describes the electrostatic force between two charged objects, which follows an inverse square relationship. As the distance between charges increases, the force of interaction decreases.

(III) True. The measurement of 101.0 g has three significant figures. In scientific notation, significant figures are the digits that carry meaningful information about the measurement. Non-zero digits and zeros between non-zero digits are considered significant. In this case, all three digits (1, 0, and 1) are non-zero and, therefore, significant.

In summary, saltwater cannot be separated by simple physical means, Coulomb's Law states that the interaction between charges decreases as the distance increases, and the measurement of 101.0 g has three significant figures.

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Answer:

She can make 6 batches of brownies

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

The answer is $860

Step-by-step explanation:

$688÷0.8=$860

Step-by-step explanation:

688 is 80 % of what number, x  ?

     80% is  .80 in decimal

.80 * x  = 688

x = $688/ .8  = $  860 .

If A=(-8,9) and B=(4,4), using the formula for distance between two points, we get:

Therefore, the distance between A and B is 13 units

Formula for distance between two points:

Answer:

29.35

Step-by-step explanation:

5.87 times 5

Answer: x ≈ 6.86°

Step-by-step explanation:

Firstly, set them equal to each other:

(7x + 24) = 72°

Subtract 24 from both sides:

7x = 48°

Divide both sides by 7:

x ≈ 6.857...

This can be rounded to:

x ≈ 6.86°

Answer:

3627

Step-by-step explanation:

assuming it is 13*(-32.48-14.02)*6

It will take about 30.56 minutes for the oven to reach 450 degrees Fahrenheit.

1. Let t be the time (in minutes) after turning on the oven. Let T(t) be the temperature (in degrees Fahrenheit) of the thermometer at time t. Then we can model the situation with the following equation:

T(t) = 72 + k(1 - e^(-rt))

where k is a constant related to the efficiency of the oven and the thermometer, and r is a constant related to the rate at which the oven heats up. We can use the information given in the problem to find values for k and r.

At t = 5, T(5) = 105, so we have:

105 = 72 + k(1 - e^(-5r))

And at t = 10, T(10) = 175, so we have:

175 = 72 + k(1 - e^(-10r))

Solving for k and r, we get:

k ≈ 55.384

r ≈ 0.163

So the equation that models the situation is:

T(t) = 72 + 55.384(1 - e^(-0.163t))

2. To find when the oven will reach 450 degrees Fahrenheit, we can set T(t) = 450 and solve for t:

450 = 72 + 55.384(1 - e^(-0.163t))

377.616 = 55.384e^(-0.163t)

ln(377.616/55.384) = -0.163t

t ≈ 30.56

So it will take about 30.56 minutes for the oven to reach 450 degrees Fahrenheit.

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Answer:

Step-by-step explanation: