what solution does the equation |4x+7|=-3 have

General Douglas MacArthur's strategy in response to North Korea's actions during the Korean War was to launch a surprise amphibious invasion at Inchon, which was a risky move as the tide had to be just right for it to be successful.

However, it proved to be a brilliant tactical move that caught the North Koreans off guard and allowed the UN forces to push them back towards the 38th parallel. MacArthur also advocated for expanding the war into China, which ultimately led to his removal from command by President Truman.

The outcome of MacArthur's strategy was a significant shift in the momentum of the war, with UN forces pushing back the North Korean army. However, it also led to increased tension between the US and China, which would continue to be a source of conflict for years to come.

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For the scientific method , the true statement about the hypothesis is  (b) research studies are designed to prove a hypothesis.

The term Hypothesis is defined as the observation which is proposed as the possible outcome or results of an experiment .

we know that ; in order to prove a hypothesis, the experiments are designed and after that they are performed based on given hypothesis.

That is how the experiments are designed based on a previous idea which may result in a particular outcome.

So , any hypothesis is dependent on a specific experiment( research studies) .

Therefore , the correct option is (b) .

The given question is incomplete , the complete question is

In the scientific method, which of the following is true about a hypothesis?

(a) the same hypothesis may not be tested more than once.

(b) research studies are designed to prove a hypothesis.

(c) a specific hypothesis is generated based on an established theory.

(d) a hypothesis both explains and predicts a phenomenon.

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Answer:

93mL 98mL

Step-by-step explanation:

First add the mL. There are 78mL, so it cannot become a liter. Then add the liters.

Answer:

The formula to find the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder.

Given that the radius of the cylinder is 2 inches and the height is 4 inches, we can substitute these values into the formula to find the volume:

V = πr²h

V = 3.14 x 2² x 4

V = 3.14 x 4 x 4

V = 50.24

Rounding this value to the nearest whole number, the volume of the cylinder is 50 in³.

Answer:

m<D = 26

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(5) - 4

30 - 4

26

The statements that are  true about this study are

This is further explained below.

Generally, a scientific technique is used to create a discovery, test a theory or show an established truth.

In conclusion, The following are accurate claims concerning this study:

Random sampling is used in this investigation. In this investigation, a control group is used. Repeated measurements are employed in this investigation.

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Answer:

Angle DCE is a central angle so it's equal to the arc facing it, which is DE, which is given as 116. So angle DCE= 116°

Angle EDF is an angle between a tangent line, DF, and a secant line, DE. So its measure is equal to half of the arc it surrounds, which is arc DE. 116/2= 58°. Angle EDF=58°.

It is not possible to determine how many other tasks are delayed or how late the project will be delayed without more information.

We would need to know the original schedule and deadlines for the tasks and project in order to calculate the delays. Additionally, it is unclear if t1 and t2 are the only tasks that are delayed or if there are others. Therefore, an approximate answer cannot be provided without more information.

We could assume that only 2 tasks are missing in the whole project to add a maximum of 2+3 = 5 days, but this would not be a realistic estimate.

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Answer: C

Step-by-step explanation:

Answer: I think the answer is A.

Step-by-step explanation:

The central finite difference of velocity is  2.3127

The central finite difference, backward finite difference, and forward finite difference are all numerical methods used to approximate the derivative of a function.

Central finite difference is the most accurate of the three, and requires two function evaluations, one for the derivative at a given point and one for the derivative at the point before or after it.

Backward finite difference requires one function evaluation for the derivative at a given point minus the derivative at the point before it, while forward finite difference requires one function evaluation for the derivative at a given point plus the derivative at the point after it.

a) Central Finite Difference: = ( - )/2

Velocity = (ln(2.5) - ln(2.4))/0.1

= 2.3127

b) Backward Finite Difference: = -

Velocity = (ln(2.5) - ln(2.3))/0.1

= 3.2186

c) Forward Finite Difference: =  -

Velocity = (ln(2.4) - ln(2.3))/0.1

= 2.3026

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The calculated height of the rectangular prism is 5x + 4

From the question, we have the following parameters that can be used in our computation:

Volume = 5x³ + 14x² + 8x

Also, we have

Base area = x² + 2x

From the volume formula, we have

Height = Volume/Base area

Substitute the known values in the above equation, so, we have the following representation

Height = (5x³ + 14x² + 8x)/(x² + 2x)

Evaluate

Height = 5x + 4

Hence, the height of the rectangular prism is 5x + 4

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The value of cos (θ) in the right triangle is determined as 5√3/14.

The value of cos (θ) is calculated by applying trig ratio as follows;

The trig ratio is simplified as;

SOH CAH TOA;

SOH ----> sin θ = opposite side / hypothenuse side

CAH -----> cos θ = adjacent side / hypothenuse side

TOA ------> tan θ = opposite side / adjacent side

The value of cos (θ) is calculated as follows;

cos (θ) = adjacent side / hypothenuse side

The adjacent side is calculated by applying Pythagoras theorem as follows;

adja = √ (14² - 11²)

adja = √75

adja = 5√3

The value of cos (θ) is calculated as follows;

cos (θ) =  5√3/14

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The complete question is below:

Find the value of cos (θ)

Answer:

she would get 11 dollars back

Step-by-step explanation:

look....first count all the money together 5 + 3 + 1 = 9............Then subtract 9 from 20 and there u go

numerator = top part of the fraction

denominator = bottom part of the fraction

* means multiply

a.

you can only add the numerator when the denominator is the same

cant add the denominator

denominator has to be the same

1/5 = 4/20

4/20 + 7/20 = 11/20

b.

1 7/8 = 15/8

3/4 ÷ 15/8 =

3/4 * 8/15 =

24/60 = divide both top and bottom by 12 =

2/5

Step-by-step explanation:

a)1/5+ 7/20

1.find the CM of both denominators

2.multiply both the denominator and the numerator using the CM

=(1/5)×20 +(7/20)

=20/100 +35/100

since you multiply

3.Now add both numerators ( don't add the denominators)

=the answer is 55/100

Pn(Z>zp)=1−p%

Given a variable X following a normal distribution with mean μ and standard deviation σ, the area below the curve that corresponds to all values that are less than a that is, X<a

is the probability P(X<a). This probability is usually calculated by converting the variable X to a standard normal variable Z (forming z scores) defined by:

\(z=\frac{x-\mu}{\sigma}\)

The variable Z follows the standard normal distribution with a mean of 0 and a standard deviation of 1.

The standard normal probabilities are typically found by using the standard normal tables or other computational means such as calculators or software.

Pn(Z>zp)=1−p%

Here Pn is the probability for the standard normal variable.

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Answer:

59°

Step-by-step explanation:

116-57=59

the outside angle is the 2 inner angles added together

Answer:

59 degrees

Step-by-step explanation:

you can use angle DAB to find out angle BAC by subtracting 180 and 116 to get 64

add 57 and 64 to get 121

subtract 180 and 121 to get 59 degrees.

Answer:

x = 5

Step-by-step explanation:

14x + 1 + 14x + 1 + 38 = 180 , that is

28x + 40 = 180 ( subtract 40 from both sides )

28x = 140 ( divide both sides by 28 )

x = 5

Answer:

9. y= -2x+6

10. y= -0.4x+ \(\frac{1}{3}\)

11. y = -5x+2

12. y=41

13. y=2x+3

14. y= -4x-39

Step-by-step explanation:

9.

y= -2(x-3)

y= -2x+6

10.

12x+30y=10

Subtract 12x from both sides

30y=10-12x

Divide both sides by 30

y= -0.4x+ \(\frac{1}{3}\)

11.

y = -5x+2

(Already solved)

12.

y=6+36-1

y=41

13.

y-3=2x

Add 3 to both sides

y=2x+3

14.

y= -3-4(x+9)

y= -3-4x-36

y= -4x-39

Answer:

114

Step-by-step explanation:

let 'n' = original value

(17.1 - n) / n = -85/100

cross-multiply:

1710 - 100n = -85n

1710 = 15n

n = 1710/15

n = 114

Answer:

Find a reciprocal.

Step-by-step explanation:

ex: If you have 5/6 divided by 3/7 you would flip the 3/7 so it's 7/3 so then you can simply multiply them. REMEMBER YOU CANNOT DIVIDE FRACTIONS. YOU MUST CHANGE THE PROBLEM INTO MULTIPLICATION FIRST!!!

The logarithm of (789.5) elevated to the power 1/8 is given as follows:

log(789.5)^(1/8) = 0.36216901679.

The logarithm in this problem is defined as follows:

log(789.5)^(1/8).

It has a power, hence the power can be moved to the front of the logarithm expression applying the power rule, as follows:

log(789.5)^(1/8) = 1/8 x log(789.5).

Then a calculator is used to obtain the logarithm of 789.5, which is the number that is elevated to the base 10 to obtain 789.5, hence:

log(789.5) = 2.89735213434.

Thus the numeric value of the logarithmic expression in this problem is calculated as follows:

log(789.5)^(1/8) = 1/8 x log(789.5) = 1/8 x 2.89735213434 = 0.36216901679.

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Answer:

75.3

Step-by-step explanation:

Answer:

75.4

Step-by-step explanation:

Answer:

B. Radian

Step-by-step explanation:

I remember learning this in math class. Radian is SI Unit of measurement of Angle.

Answer:

Step-by-step explanation:

This is a very interesting problem. We are given the slope and one point, which makes this funner than normal ;)

Filling in the slope formula with what we are given:

\(-\frac{3}{5}=\frac{y-2}{x-(-3)}\) which simplifies to

\(-\frac{3}{5}=\frac{y-2}{x+3}\)

Since slope is rise over run, the rise number is -3; the run number is 5. That means that the equation to find the y coordinate comes from -3 = y - 2; the equation to find the x coordinate comes from 5 = x + 3 (keep in mind that you could have made the x coordinate the negative one; it doesn't matter. You will get the same answer regardless...promise).

Solving for y:

-3 = y - 2 and

y = -1

Solving for x:

5 = x + 3 and

x = 2

Let's check those coordinates in the slope formula and see if our slope is in fact -3/5:

\(m=\frac{-1-2}{2-(-3)}=-\frac{3}{5}\) so we're all good!

The coordinates of B are (2, -1)

Given:

The radius of the circle is r=2 mi.

To find the diameter of the circle:

The formula is,

Thus, the diameter of the circle is 4 mi.

Answer: 4mi

Step-by-step explanation:

diameter = 2 x radius

2x2 = 4

Answer:

1 1/2 cups of chocolate

Step-by-step explanation:

Sophie has

1/2

cup of chocolate which can make

1/3

of a S’more recipe. How many cups of chocolate are needed to make one whole S’more recipe? EXTRA POINTS FOR A CORRECT ANSWER

1 1/2 cups of chocolate because 1/3 takes 3 times to get a whole so 1/2x3=

1 1/2

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

-5

Step-by-step explanation:

3x + 6 = -9

3x = -15

x = -5

Answer:

\( \boxed{ \bold { \huge{ \boxed{ \sf{x = - 5}}}}}\)

Step-by-step explanation:

\( \sf{ - 9 = 3x + 6}\)

Swap the sides of the equation

\( \longrightarrow{ \sf{3x + 6 = - 9}}\)

Move 6 to right hand side and change its sign

\( \longrightarrow{ \sf{3x = - 9 - 6}}\)

The negative integers are always added but possess the negative ( - ) sign

\( \longrightarrow{ \sf{3x = - 15}}\)

Divide both sides by 3

\( \longrightarrow{ \sf{ \frac{3x}{3} = \frac{ - 15}{3} }}\)

Calculate

\( \longrightarrow{ \sf{x = - 5}}\)

Hope I helped!

Best regards! :D

Answer:

A =5

Step-by-step explanation:

From the Pythagorean theorem

Answer:

The perimeter is 30ft

Step-by-step explanation:

\(a^2+12^2=13^2\\a^2=13^2-12^2\\\sqrt{a^2}=\sqrt{25}\\a=5\\\\5+12+13=30\)