A rotation or turn always moves clockwise and never counterclockwise.
True
False

Step-by-step explanation:

- 6x - 6 - 2x = 40. collect the like terms

- 6x - 2x - 6 = 40

- 8x - 6 = 40 take 6 to the right

- 8x = 40 + 6

- 8x/ -8 = 46/ - 8

x = - 5.75

I hope this answers your question

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

770 = 2*5*7*11

So they are:

2*385

10*77

5*154

7*110

14*55

11*70

22*35

Answer:

(x - 8)^2 + (y + 1)^2 = 68

Step-by-step explanation:

The standard form of the equation of the circle with center (8,−1) is :

(x - 8)^2 + (y + 1)^2 = R^2

If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.

Answer:

Step-by-step explanation:

334.488 miles

Answer:

1/8 is less than

Step-by-step explanation:

i dont see any fractions below gona have to edit your answer

Answer:

w¹×w¹×w¹=w¹+¹+¹= w³

formula is a^m×a^n=a^m+n

The process of copying an angle through construction involve ensuring

that the distance between the two rays forming the angle is the same or

equal in the original and copy of the angle at a given equal distance from

the vertex of both angles

The step where the error occur is step 4. She measured the incorrect length

The reason for the above selection is as follows:

The steps to copy an angle are as follows;

A critical step in the copying process involves the finding the distance

between the initial line and the terminal line EF at a given distance DG =

AE from the angle vertex

The step where the error occur is in step 4. by opening the compass

between points A and E which are points on the same line and placing the

compass at point G on line l to draw an arc intersecting the arc created

from point D at H, thereby making the radial distance between the two lines

forming the angle, in the copied angle at a distance E from the vertex,

equal to AE rather than EF

Therefore, the error occurred in step 4. She measured the incorrect length

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Answer: yes

Step-by-step explanation:

43093 is less than 43903

Answer:

Step-by-step explanation:

$425-$300 = $125

$125/(40 hr) = $3.125/hr ≈ $3.13/hr

Answer:

lol

Step-by-step explanation:

Now don't get us wrong – not all of these answers raise this excellent question

The value of [tex]\mu[/tex] = 29.6, M = 31.9, [tex]\sigma[/tex] = 16 , s = 22.4, [tex]\sigma_m[/tex] = 3.121, and [tex]\rm S_m[/tex] = 2.473.

It is given that the mean break time per day from the most recent census is 29.6 minutes with a standard deviation of 16 minutes.

It is required to organize the information in a table if the sample size is 82.

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z_{score}\frac{s}{\sqrt[]{n} }[/tex]

Where    is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We know:

[tex]\rm \sigma_m= \frac{\sigma^2}{n}[/tex]

We have,

[tex]\rm \sigma = 16 \ and \ n = 82[/tex]

[tex]\rm \sigma_m= \frac{16^2}{82}[/tex]

[tex]\rm \sigma_m= 3.121[/tex]

For [tex]\rm S_m[/tex]

[tex]\rm S_m = \frac{s}{\sqrt{n} }[/tex]

We have,

s = 22.4 and n = 82

[tex]\rm S_m = \frac{22.4}{\sqrt{82} }[/tex]

[tex]\rm S_m = 2.473[/tex]

Thus, the value of [tex]\mu[/tex] = 29.6, M = 31.9, [tex]\sigma[/tex] = 16 , s = 22.4, [tex]\sigma_m[/tex] = 3.121, and [tex]\rm S_m[/tex] = 2.473.

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Answer:

yes me me me me me ,,,,,,,,,,,,,,,,,,,, ....

Answer:

32х+14

Step-by-step explanation:

[tex]2(9x + 5 + 7x + 2) \\ 18x + 10 + 14x + 4 \\ 32x + 14[/tex]

Answer:

32x + 14

Step-by-step explanation:

The opposite sides of a rectangle are equal, so

perimeter = 2(9x + 5) + 2(7x + 2) ← distribute parenthesis

                 = 18x + 10 + 14x + 4 ← collect like terms

                 = 32x + 14

Answer:

[tex]{ \underline{ \sf{equation \: is : \: y = - \frac{5}{4} x + 2 }}}[/tex]

Step-by-step explanation:

[tex]y = mx + c \\ 4y = - 5x + 18 \\ y = - \frac{5}{4} x + \frac{9}{2} [/tex]

since it is parallel, the gradients are the same; m = -5/4

[tex]y = - \frac{5}{4} x + 2[/tex]

Answer:

y=-5x+2

Step-by-step explanation:

x intercept=2

points will be (2,0)

slope of given line:

4y=-5x+18

y=mx+c

comparing equation:

m=-5

lines are parallel so given slope is equal to required slope.

using point slope form:

y-0=-5(x-2)

y=-5x+2

Answer:

2x^31

Step-by-step explanation:

~Simplify the expression

2x^29/x^-2

~Apply quotient rule [ a^b/a^c = a^b-c ]

2x^31

Best of Luck~

Answer:

Step-by-step explanation:

Used identities:

Answer:

The volume can be found by multiplying these two numbers, which is

65/4 x 1/2

65/8 units^3

Let me know if this helps!

Answer:

8 1/8 units ^3

Step-by-step explanation:

The volume is given by

V = Bh where B is the area of the base and h is the height

V = 16 1/4 * 1/2

Changing to an improper fraction

V = ( 4*14+1)/4 * 1/2

  = (65/4) * 1/2

  = 65/8

Changing back to a mixed number

  = 8 1/8

The distance between Balloon B and Balloon A is 999 feet (correct to the nearest whole number); that is, Balloon B is 999 feet from balloon A

The diagram for the question is shown as described in the question in the attachment below.

From the diagram,

Let the height from balloon A to the ground be /AG/ and the height from balloon B to the ground be /BD/ and the point where Charlie is be C

/AG/ = 1200 feet

/AG/ = /BD/ = 1200 feet ( as shown in the diagram)

The distance between the two balloons is equal to /GD/

Also, from the diagram, /GD/ = /GC/ + /CD/

To find /GC/,

Consider ΔAGC

/AG/ = 1200 feet

/GC/ = ?

From the question, "Balloon A has risen at a 56° angle"

∴ x° = 56°

Using the formula

[tex]tan(x^{o} ) = \frac{/AG/}{/GC/}[/tex]

[tex]tan(56^{o}) = \frac{1200}{/GC/}[/tex]

[tex]/GC/ = \frac{1200}{tan(56^{o}) }[/tex]

/GC/ = 809.41 feet

To find /CD/

Consider ΔBCD

/BD/ = 1200 feet

/CD/ = ?

From the question, "Balloon B has risen at a 81° angle"

∴ y° = 81°

Using the formula

[tex]tan(y^{o} ) = \frac{/BD/}{/CD/}[/tex]

[tex]tan(81^{o}) = \frac{1200}{/CD/}[/tex]

[tex]/CD/ = \frac{1200}{tan(81^{o}) }[/tex]

/CD/ = 190.06 feet

Now, recall that /GD/ = /GC/ + /CD/

∴ /GD/ = 809.41 feet + 190.06 feet

/GD/  = 999.47 feet

/GD/ ≅ 999 feet (to  the nearest whole number)

Hence, the distance between the two balloons is 999 feet

Balloon B is 999 feet from balloon A.

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Answer:

999 Units

Step-by-step explanation:

For this question, we need to simplify some radicals and combine like terms. One thing for sure that should be noticed is the fact that both of these radicals are going to be imaginary, as they both have negatives inside of them.

Let's simplify the radicals:

√-2 =                   ← Note the negative

i√2

√-18 =                  ← Note the negative here as well

i√18 =

i√2·3·3 =

i√2·3² =

3i√2

Now, all we have to do is combine like terms:

i√2 + 3i√2 = 4i√2

Answer:

a

Step-by-step explanation:

3x tables

vhhvffffhhgfgfccf

Answer:

a

Step-by-step explanation:

Has pattern 3x tables. Answer is 15 A.

Answer:

Step-by-step explanation:

Distance between (2,1) and (3,3) = √5

parametric equations for circle of radius √5, centered at (2,1):

x = √5cosθ+2

y = √5sinθ+1

At (3,3), θ = arccos(1/√5) ≅ 63.4°

After 45° transformation:

θ' = 63.4° + 45° = 108.4°

x' = √5cos(108.4°)+2 = 1.29

y' = √sin(108.4°)+1 = 3.12

(3,3) transformed to (1.29,3.12)

Answer:

Step-by-step explanation:

Let v be the speed of the slower car

2v is the speed of the faster car

In 2 hrs, the slower car travels a distance of

2 hr(v km/hr) = 2v km

In 2 hrs, the faster car travels a distance of

2 hr(2v km/hr) = 4v km

2v + 4v = 300

6v = 300

 v = 50 km/hr

2v = 100 km/hr

Answer:

correct u did it

Step-by-step explanation:

told me

To conduct a hypothesis test to determine if there is a significant difference between the number of games won by the American League and the National League in the World Series, we can follow these steps:

Step 1: State the null and alternative hypotheses:

Null hypothesis (H0): There is no significant difference between the mean number of games won by the American League and the National League.

Alternative hypothesis (Ha): There is a significant difference between the mean number of games won by the American League and the National League.

Step 2: Determine the significance level:

In this case, the significance level is given as 10%, which means α = 0.10.

Step 3: Conduct the hypothesis test:

To conduct the hypothesis test, we can use a two-sample t-test because we have two independent samples and we do not have information about the population parameters.

Step 4: Calculate the test statistic and p-value:

Using the provided sample means, standard deviations, and sample sizes, we can calculate the test statistic and p-value using statistical software or a calculator.

Step 5: Compare the p-value to the significance level:

If the p-value is less than the significance level (α), we reject the null hypothesis and conclude that there is a significant difference between the mean number of games won by the American League and the National League. If the p-value is greater than the significance level, we fail to reject the null hypothesis.

Since the calculation of the test statistic and p-value requires specific values from the samples, such as the sample sizes, it is not possible to perform the exact calculation without those values. Additionally, the information provided in the question does not specify whether the data follows a normal distribution or other assumptions required for the t-test.

To conduct the hypothesis test accurately, it is recommended to use statistical software or consult a statistician who can perform the calculations using the provided sample means, standard deviations, and sample sizes.

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By Green's theorem, the line integral

[tex]\displaystyle \int_C f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy[/tex]

is equivalent to the double integral

[tex]\displaystyle \iint_D \frac{\partial g}{\partial x} - \frac{\partial f}{\partial y} \,\mathrm dx\,\mathrm dy[/tex]

where D is the region bounded by the curve C, provided that this integrand has no singularities anywhere within D or on its boundary.

It's a bit difficult to make out what your integral should say, but I'd hazard a guess of

[tex]\displaystyle \int_C \left(3y+5e^{-x}\right)\,\mathrm dx + \left(10x+3\cos\left(y^2\right)\right)\,\mathrm dy[/tex]

Then the region D is

D = {(x, y) : 0 ≤ x ≤ 1 and x ² ≤ y ≤ √x}

so the line integral is equal to

[tex]\displaystyle \int_0^1\int_{x^2}^{\sqrt x} \frac{\partial\left(10x+3\cos\left(y^2\right)\right)}{\partial x} - \frac{\partial\left(3y+5e^{-x}\right)}{\partial y}\,\mathrm dy\,\mathrm dx \\\\ = \int_0^1 \int_{x^2}^{\sqrt x} (10-3)\,\mathrm dy\,\mathrm dx \\\\ = 7\int_0^1 \int_{x^2}^{\sqrt x} \mathrm dy\,\mathrm dx[/tex]

which in this case is 7 times the area of D.

The remaining integral is trivial:

[tex]\displaystyle 7\int_0^1\int_{x^2}^{\sqrt x}\mathrm dy\,\mathrm dx = 7\int_0^1y\bigg|_{y=x^2}^{y=\sqrt x}\,\mathrm dx \\\\ = 7 \int_0^1\left(\sqrt x-x^2\right)\,\mathrm dx \\\\ = 7 \left(\frac23x^{3/2}-\frac13x^3\right)\bigg|_{x=0}^{x=1} = 7\left(\frac23-\frac13\right) = \boxed{\frac73}[/tex]

Answer:

Option A, 4

Step-by-step explanation:

f(-2) = -(-2)³-3×(-2)²+8

= 8-12+8

= 16-12

= 4

Answer:

The kelvin (abbreviation K), also called the degree Kelvin (abbreviation, o K), is the SI unit of temperature. One Kelvin is 1/273.16 (3.6609 x 10 -3 ) of the thermodynamic temperature of the triple point of pure water (H 2 O). The ampere (abbreviation, A) is the SI unit of electric current.

Answer:

kelvin is si unit of tempreature

Jane is given a $100 gift to start and saves $35 a month from her allowance.

   After 1 month, Jane has saved

   After 2 months, Jane has saved

   After three months, Jane has saved

   and so on

In general, after x months Jane has saved

This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.

Step-by-step explanation:

Answer:

hmm observe the diagram carefully there are 2 arcs drawn which means angle BEC and angle KEC are equal so

6x + 24 = 10x

4x = 24

x = 6

BRAINLIEST PLS

The value of x in the given figure is 6.

Used the concept of an angle of the figure,

An angle is a combination of two rays (half-lines) with a common endpoint.

Given that,

A figure with two congruent triangles is shown in the figure.

Now by definition of congruency of triangles,

∠ BEC = ∠ CEK

Substitute given values,

[tex]6x + 24 = 10x[/tex]

Solve for x,

[tex]24 = 10x - 6x[/tex]

[tex]24 = 4x[/tex]

Divide both sides by 4;

[tex]x = 6[/tex]

Therefore, the value of x is 6.

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9514 1404 393

Answer:

  2.5%

Step-by-step explanation:

Simple interest is computed using the formula ...

  I = Prt . . . . for principal P invested at rate r for t years

Using the given values, we can solve for r ...

  67.50 = 900r·3

  r = 67.50/2700 = 0.025 = 2.5%

Megan's account earned 2.5% interest.