can anyone help (will mark brainly)

Answer:

4 hours

Step-by-step explanation:

I don’t work with data points too much but I believe the gap is at 4 because it is where no one waited that long and where the date kind of stops and then start back up at 5 hours

Hopes this helps

Answer:

1

Step-by-step explanation:

perpendicular requires 90° angles and you can only fit one on the line that reaches D

The appropriate alternative hypothesis is the opposite of null hypothesis that there is a difference in mean SSHA scores between men and women.

The alternative hypothesis is the opposite of the null hypothesis, which is typically stated as there being no difference between the two groups. In this example, the null hypothesis is that there is no difference in mean SSHA scores between men and women. The alternative hypothesis is then that there is a difference in mean SSHA scores between men and women. This can be stated as "There is a difference in mean SSHA scores between men and women". This is the appropriate alternative hypothesis for this test of significance.

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If the discriminant of a quadratic equation is equal to -8, there are two complex roots.

The discriminant is used to determine the nature of quadratic equations.

The formula for calculating discriminant is given as:

D = b^2 - 4ac

If the discriminant is negative, it means that the nature of the solution will be a complex number.

Hence if the discriminant of a quadratic equation is equal to -8, there are two complex roots.

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Answer:

Anna spent $51 in all.

Step-by-step explanation:

36+15=51

Answer:

$51

Step-by-step explanation:

Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.

price of backpack+price of lunchbox

The backpack cost $36 and the lunchbox cost $15

$36+$15

Add 36 and 14

$51

Anna spent $51 in total

Answer:

\(x=0, \\x=\pi\)

Step-by-step explanation:

Recall the trigonometric identity \(\sin 2x=2\sin x\cos x\).

Therefore, given \(\sin 2x=2\sin x\), rewrite the left side of the equation:

\(2\sin x\cos x=2\sin x\)

Subtract \(\sin x\) from both sides:

\(2\sin x\cos x-2\sin x=0\)

Factor out \(2\sin x\) from both terms on the left:

\(2\sin x(\cos x-1)=0\)

We now have two cases:

\(\begin{cases}2\sin x=0, x=k\pi\text{ for }k\in \mathbb{Z}\\\cos x-1=0,x=k2\pi\text{ for }k\in \mathbb{Z}\end{cases}\)

Since the problem stipulates that \(x\) is in the interval \([0, 2\pi)\), we have:

\(\text{For }x\in [0, 2\pi):\\\sin x=0\rightarrow \boxed{x=0, x=\pi}\\\cos x-1=0\rightarrow \boxed{x=0}\)

Recall that square brackets mean inclusive and parentheses mean exclusive. Therefore, \(2\pi \notin [0, 2\pi)\).

Answer:

C = 0.25d + 2

Step-by-step explanation:

Use the scenario given to find the rate per mile

Subtract the flat fee: 14.50 - 2.00 = 12.50

To find the rate, do 12.50/50 = 0.25

The rate is 0.25$ per mile

So, the equation will be:

C = 0.25d + 2

Answer:

If I answer in the comments and get it right will you mark me brainiest plz!!!!!!

Step-by-step explanation:

If you deposit $14,000 into an account paying 2.1% interest compounded monthly, you will earn approximately $2,450 in interest after 8 years.

To calculate the interest earned, we can use the formula for compound interest: A = \(P(1 + r/n)^(nt)\), where A is the final amount, P is the principal amount (initial deposit), r is the annual interest rate (expressed as a decimal), n is the number of times interest is compounded per year, and t is the number of years.

In this case, the principal amount is $14,000, the annual interest rate is 2.1% (or 0.021 as a decimal), and the interest is compounded monthly, so n = 12. The time period is 8 years.

Plugging these values into the formula, we get:

A = \(14000(1 + 0.021/12)^(^1^2^*^8^)\)

Calculating this expression, we find that the final amount after 8 years will be approximately $16,449.55. To determine the interest earned, we subtract the initial deposit from the final amount:

Interest earned = $16,449.55 - $14,000 = $2,449.55.

Rounding this to the nearest dollar, the interest earned after 8 years will be approximately $2,450.

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Answer:

x = 8

Step-by-step explanation:

\(\sf If\:\: \overline{NO} \parallel \overline{KJ}\:\:then\:\: \triangle LNO \sim\triangle LKJ\)

Therefore:

\(\implies \sf \overline{LN} : \overline{LO} = \overline{LK} : \overline{LJ}\)

\(\implies (x-3):(x-4)=(x-3)+(x+2):(x-4)+x\)

\(\implies \dfrac{x-3}{x-4}=\dfrac{2x-1}{2x-4}\)

\(\implies (x-3)(2x-4)=(2x-1)(x-4)\)

\(\implies 2x^2-10x+12=2x^2-9x+4\)

\(\implies -10x+12=-9x+4\)

\(\implies 12=x+4\)

\(\implies x=8\)

Answer:

A.\(200.96 \: {ft}^{2}\)

Step-by-step explanation:

Corral is circular in shape.

Radius of the corral would be be the distance from the post to the edge of the corral.

-> r = 8 ft

\(A(grass\: eaten) = \pi {r}^{2} \\ \\ = 3.14 {(8)}^{2} \\ \\ = 200.96 \: {ft}^{2} \)

Answer:

y=3x-10

Step-by-step explanation:

A line parallel to another line has the same slope.

Therefore, we can create the equation y=3x+b.

Substituting (4,2) into y=3x+b,

2=3(4)+b

2=12+b

-10=b

y=3x-10

Therefore, the equation of the line parallel to y=3x-8 which passes through the point (4,2) is y=3x-10

Answer:

y = 3x - 10

Step-by-step explanation:

Equation: y = 3x + b

Point: (4, 2)

y = 3x + b

2 = 3 (4) + b

2 = 12 + b

b = -10

y = 3x - 10

Answer:

6060 feet

Step-by-step explanation:

6371-311=6060

The result for the evaluation of the given definite integral is 24, under the condition that the given definite integral is  \(I = \int\limits^4_0 { (|x^{2} -4| - x^{2} )} \, dx\)  .
The provided definite integral  \(I = \int\limits^4_0 { (|x^{2} -4| - x^{2} )} \, dx\)can be split into two integrals by using integration by parts

\(I = \int\limits^4_0 { (|x^{2} -4| - x^{2} )} \, dx = \int\limits^2_0 {(4-x^{2} )} \, dx - \int\limits^4_2 {(x^{2} -4)} \, dx\)

Hence, the first integral \(\int\limits^2_0 {(4-x^{2} )} \, dx\) is

\(\int\limits^2_0 {(4-x^{2} )} \, dx\) \(= [4x - (1/3)x^{3} ]\)
= [8/3]

Then, the second integral \(\int\limits^4_2 {(x^{2} -4)} \, dx\) is

\(\int\limits^4_2 {(x^{2} -4)} \, dx\)  = [-x³/3 + 4x]
= [-64/3]

Now,
I = [8/3] - [-64/3]
= [72/3]
= 24.
The result for the evaluation of the given definite integral is 24, under  the condition that the given definite integral is \(I = \int\limits^4_0 { (|x^{2} -4| - x^{2} )} \, dx\)

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The surface area of cube B is not twice the surface area of A because its only the length of B that doubles the length of A

A  cube is defined as a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

The dimensions of the cube are

l=2,units

b=2,units

h=2 units

Surface area = 6a²

a= lbh

Cube A= 6(2*2*2)²

Area=6*64

Area=384 square units

Cube B

Surface area = 6a²

a= lbh

surface area = 6[(2*4)*4*4]²

Surface Area = 6*128²

=16384*6

Surface area= 98,304 unit square

Therefore the surface area of B is not twice surface area of A.

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Answer:

\(36.77150\), or 37 (rounded)

Step-by-step explanation:

1. \(\sqrt{97} = 9.84885\)

2. \(9.84885\) + \(8.169178744\) = \(18.01803\)

3. \(\frac{18.01803}{0.49}\)

4. = \(36.77150\)

You can simplify 36.77150 to 37

... Hope this helped! Have a wonderful New Year!

The value of the equation is A = 36.77

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( √97 + 2.014³ ) / 0.49   be equation (1)

On simplifying the equation , we get

√97 = 9.8488578

2.014³ = 8.169178744

Substituting the values in the equation , we get

A = ( 9.8488578 + 8.169178744 ) / 0.49

A = 18.018036544 / 0.49

A = 36.77150

Therefore , the value of A is 36.77

Hence , the equation is A = 36.77

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The following numbers are rounded up as follows:

8.6134

5.5218

Rounding up a number means to round a number to the smallest integer that is not less than it, or to some other greater value.

Thousandth, hundredth and tenth are used after the decimal point.

8.6134

5.5218

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Answer:

\(\sf y' = \dfrac{x-7}{5}\)

Explanation:

⇒ y = 5x + 7

⇒ 5x + 7 = y

⇒ 5x = y - 7

⇒ x = (y-7)/5

replace x with y

⇒ y' = (x-7)/5

Take this and solve for x

Interchange y and x

So

The inverse is

\(\\ \rm\dashrightarrow y^{-1}(x)=\dfrac{x-7}{5}\)

Answer:

.

Step-by-step explanation:

Answer:

A. 54.09

Step-by-step explanation:

cos (angle) = Adjacent/Hypotenuse

cos (75) = 14/x

x= 14/cos (75)

x=54.09

Answer:

its A

Step-by-step explanation:

Jackson will have 112 cards in his collection after 7 years. The Option D is correct.

The difference between the number of cards in year 2 and year 3 is:

= 48 - 32

= 16

Note: Its covers a span of 3 - 2 = 1 year. Therefore, the average number of cards added per year between years 2 and 3 is 16/1 = 16.

Now we can estimate the number of cards Jackson will have in year 7 by stating the following formula:

= Number of cards in year 5 + (Average number of cards added per year) x (Number of years from year 5 to year 7)

= 80 + 16 x (7 - 5)

= 80 + 32

= 112 cards

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Producing rDNA involves isolating and cleaving DNA, inserting fragments into a vector, and transforming host cells. rDNA can be introduced via transformation, transfection, or viral vectors. Clinical applications include protein production, gene therapy, vaccines, and diagnostics.

Producing a recombinant DNA (rDNA) vector involves several general steps. Here are the three main steps involved in the process:

Isolation and Cleavage of DNA:

The first step is to isolate the desired DNA fragments from the source organism. This can be done using various techniques such as PCR (Polymerase Chain Reaction) or restriction enzyme digestion. Restriction enzymes are enzymes that cut DNA at specific recognition sites. By using the appropriate restriction enzymes, the desired DNA fragment and a vector DNA can be cut at specific sites. The vector is usually a plasmid, which is a small circular DNA molecule.

Insertion of DNA Fragments into the Vector:

Once the DNA fragments and vector have been cut, they are mixed together and joined through a process called ligation. DNA ligase is used to catalyze the formation of covalent bonds between the ends of the DNA fragments and the vector. This creates a recombinant DNA molecule containing the desired DNA fragment within the vector. The recombinant DNA molecule is then introduced into host cells for replication.

Transformation of Host Cells:

The recombinant DNA molecules need to be introduced into host cells to produce multiple copies of the recombinant DNA. This is typically done using a process called transformation. Host cells, such as bacteria or yeast, are treated in a way that makes them more receptive to taking up the recombinant DNA. Methods for transformation include heat shock, electroporation, or using chemical agents. Once the host cells have taken up the recombinant DNA, they can be grown in culture to produce large quantities of the desired DNA fragment.

Introduction of rDNA into Cells:

Recombinant DNA can be introduced into cells using various methods, depending on the type of cells being targeted. Some common techniques include:

Transformation: As mentioned earlier, host cells, such as bacteria or yeast, can be treated to make them receptive to taking up the recombinant DNA. This can be achieved by exposing the cells to heat shock, electroporation, or using chemical agents.

Transfection: This method is used for introducing rDNA into eukaryotic cells, including animal cells. It involves the use of techniques such as calcium phosphate precipitation, liposome-mediated transfection, or electroporation.

Viral Vectors: Certain viruses, such as retroviruses, adenoviruses, or lentiviruses, can be modified to carry the recombinant DNA. These viral vectors can then infect target cells and deliver the rDNA into the host genome.

Clinical Applications of rDNA:

Recombinant DNA technology has revolutionized biomedical research and has led to numerous clinical applications. Some important applications include:

Production of Therapeutic Proteins: rDNA technology allows for the production of large quantities of therapeutic proteins, such as insulin, growth factors, clotting factors, and monoclonal antibodies. These proteins can be used to treat various diseases, including diabetes, cancer, and genetic disorders.

Gene Therapy: rDNA vectors can be used to deliver functional copies of genes into target cells to correct genetic defects. This holds promise for the treatment of inherited diseases caused by single gene mutations, such as cystic fibrosis and muscular dystrophy.

Vaccine Development: Recombinant DNA technology has been instrumental in the development of vaccines. By expressing specific antigens from pathogens, recombinant vaccines can be created to stimulate an immune response without causing disease.

Diagnostic Tools: Recombinant DNA techniques are used to produce specific DNA or RNA probes for diagnostic purposes. These probes can detect the presence of specific genes or mutations associated with diseases, aiding in early detection and personalized medicine.

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Answer:

2 and 3

Step-by-step explanation:

n.1 isn't right because the numbers are negative so they will b on the left side not the right side

n.2 is right because the numbers are negative and -8.7 is further away from 1 and less than -8.4 so it will be further to the left

n.3 is right because -8.7 is further away from -8.4 making it less than -8.4

t:

Option 3 is equivalent to the statement -8.7 <-8.4.

Step-by-step explanation:

chatgpt

We have demonstrated that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To prove that x² ≥ x for all x ∈ Z, we need to show that the inequality holds true for any arbitrary integer value of x.

We can prove this by considering two cases:

Case 1: x ≥ 0

If x ≥ 0, then x² ≥ 0 and x ≥ 0. Therefore, x² ≥ x.

Case 2: x < 0

If x < 0, then x² ≥ 0 and x < 0. Therefore, x² > x.

In either case, we have shown that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

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Answer:

arc AB = 44.5

Step-by-step explanation:

arc length AB = (Ф /360) * 2πr

Ф = 150°

r = 34/2 = 17 cm

plug in values

arc AB = (150/360) * 2 * π * 17

arc AB = 44.5

Answer:

\(\Huge \boxed{\mathrm{44.51 \ centimeters}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

Length of an arc formula:

\(\displaystyle \frac{\theta }{360} \cdot \pi d\)

The angle formed at the centre is 150 degrees.

The diameter of the circle is 34 centimeters.

\(\Longrightarrow \displaystyle \frac{150}{360} \cdot \pi (34)\)

\(\Longrightarrow \displaystyle \frac{85}{6} \pi\)

\(\Longrightarrow 44.505896...\)

The length of arc AB is 44.51 centimeters approximately.

\(\rule[225]{225}{2}\)

Answer:

5≤w<9

Step-by-step explanation:

The smaller number always goes first for and statement quetions just a friendly reminder.

We can write the range of [w] as -

5 ≤ w < 9.

Given is that 9 is greater than [w], and 5 is less than or equal to [w].

We can write the inequality as -

9 > w

and

5 ≤ w

So, we can write -

5 ≤ w < 9

Therefore, we can write the range of [w] as -

5 ≤ w < 9.

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Step-by-step explanation:

x/9 = 9/15

x = 9(9)/15

x= 5.4

Answer:

Mean:

10.5+9.2+0+9.3+10.4+9.2=48.6

48.6 divded by 6 =8.1

Median is 9.3

Mode is 9.2

Step-by-step explanation:

Answer:

8x=5

Step-by-step explanation: