solve the equation below 4(ax + 3) -3ax = 25 + 3.

The area of rectangle is 96in2 which is option A.

To find the area of the rectangular face, we need to find the length and width of the rectangle, and then multiply them together.

The length of the rectangle is the distance between the points (-5,8) and (3,8), which is 8 - (-4) = 12 inches.

The width of the rectangle is the distance between the points (-5,8) and (-5,-4), which is 3 - (-5) = 8 inches.

Therefore, the area of the rectangular face is 12 x 8 = 96 square inches.

So the answer is 96 in².

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a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Check the picture below.

The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.

To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;

V = fλ

where

V = displacement/time

F = 1/T

But;

Displacement = 10 in

Time = 2 seconds

V = 10/2 = 5 in/s

F = 1/2 = 0.5

λ = 5/0.5 = 2.5in

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Answer:

150

Step-by-step explanation:

I hope I'm right

The coordinate points on the first quadrant represent the possible dimensions of the rectangle with an area of 32 m².

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given are two figures as shown in the image attached.

{ 1 } -

The image in question {12} cannot be proved congruent by AAS congruence rule.

{ 2 } -

For the triangles shown in question {13}, we can prove the triangles congruent by AAS rule as -

90° = 90°    { Equal right angles }

Sides opposites to right angles are equal. So, the angles opposite to these angles {let x° and  y°} will be equal. We can write -

x° = y°

Two equal sides given

Hence, triangles are proved AAS congruent rule.

Therefore, the triangles along with their respective congruency proofs are given above.

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The multiplier that will give the value of this house after 2 years is 2.22

What is multiplier?

The multiplier in this case means the extent to which the price of the house increases over the two-year period rather than the increase in individual years in years 1 and 2 which are denoted as 10% and 12%, in essence, we need to add 1 to the growth rate in the year in both years 1 and 2 respectively, then multiply the results together to arrive at the multiplier of the housing price

multiplier=(1+% increase in year 1)+(1+% increase in year 2)

% increase in year 1=10%

% increase in year 2=12%

multiplier=(1+10%)+(1+12%)

multiplier= 2.22

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Answer:

fortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnite

Step-by-step explanation:

fortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnitefortnite fortnite fortnite fortnite

Answer:

I'm not 100% sure however I believe it would be x + 7x

Step-by-step explanation:

You start with what u have and then every week u get $7 each week. So I think this would be the best option however if it isnt right then I'm very sorry.

Hope this helps!

Answer:

4/11

Step-by-step explanation:

a ratio is a fraction:

a:b or a to b

= a/b

so 12:33

= 12/33, which can be reduced to 4/11 when dividing the numerator and denominator by 3

In the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.

Angles that add up to 180 degrees are referred to as supplementary angles.

For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.

Two angles are complementary if their sum equals 90 degrees, and supplementary if their sum equals 180 degrees.

Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right-angled triangle are complementary.

We say two angles "Complement" one other when their sums equal 90 degrees.

So, we already are aware of that:

∠A and ∠C are supplementary

∠A is 74°

Then, ∠C would be:

∠A + ∠C = 180

74 + ∠C = 180

∠C = 180 - 74

∠C = 106

Therefore, in the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.

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Correct question:

Angles A and C are supplementary. Find the measure of angle C.

(Refer to the image below)

The equation of the line in the slope-intercept form is: y = -2.00 x + 10.

The slope and provided point are both in the equation for the straight line.

The generic point (x, y) must satisfy the equation if we have a non-vertical land in a that passes through any point(x1, y1) has gradient m.

y-y₁ = m(x-x₁)

It is the necessary equation for a line in the form of a point-slope.

That gift card to the Coffee Café has been provided. = $10

Medium coffee = $2.00

customers

The quantity of coffees a consumer can purchase can be represented using a linear equation.

Slope formula

m = (8 - 10)/(1 - 0)

m = -2

Now consider the line's point-slope shape.

y-y₁ = m(x-x₁)

( y - 10) = -2.00 ( x - 0)

y = -2.00 x + 10

The slope: m = - 2.00

The equation of the line: y = -2.00 x + 10

The y-intercept is 10

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Answer:

4 x 10^12

Step-by-step explanation:

Just subtracte the power since it is division

8- (-4)=12

Answer:

inductive - . Inductive reasoning makes broad generalizations from specific observations.

casual correlation

quality ( i think)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just did it

Given:

The measures of the angles of a triangle are in the extended ratio 5:6:7.

Required:

We need to find the largest angle.

Explanation:

The measure of angles are 5x, 6x, and 7x.

We know that the sum of all three angles is 180 degrees.

Divide both sides by 18.

The largest angle is 7x since 7 is larger than 5 anf 6.

The largest angle is 70 degrees,

Final answer:

The measure of the largest angle is 70 degrees,

Answer:

0.6 ;

0.7

Reaukt in B will give a better estimate because it has a larger sample size (120) than the result on A ,with sample size (30)

Step-by-step explanation:

Probability of hitting the target using Tuesday's result :

P(hitting the target):

Probability = required outcome / Total possible outcomes

Required outcome = number of hits = 18

Total possible outcomes = number of throws =. 30

Hence, Probability of hitting the target using Tuesday's result : 18 / 30 = 0.6

B.)

Probability of hitting the target using Total result:

Required outcome = number of hits = 84

Total possible outcomes = number of throws =. 120

= 84 / 120

= 0.7

Answer:

4x25/100=1

Step-by-step explanation:

How I came up with it

4÷100=25

25÷25=1

Julie will only get a 1% discount

Hope it helps

Step-by-step explanation:

4/x + 4 = x - 2/x

multiply everything by x

4 + 4x = x² - 2

x² - 4x - 6 = 0

the general solution to such a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = (4 ± sqrt((-4)² - 4×1×-6))/(2×1) =

= (4 ± sqrt(16 + 24))/2 = (4 ± sqrt(40))/2 =

= (4 ± sqrt(4×10))/2 = (4 ± 2×sqrt(10))/2 =

= 2 ± sqrt(10)

x1 = 2 + sqrt(10) = 5.16227766...

x2 = 2 - sqrt(10) = -1.16227766...

The slope of the given line in  the image is -4 , Option A is the answer.

The equation of the straight line is given by

y =mx +c ,

Where m is the slope , C is the intercept

The line is passing through the point

(-1,8)  ,(2,-4)

The slope is given by

m = (y₂-y₁) /(x₂-x₁)

m  = (-4 - 8 )/(2 +1)

m = -12/3

m = -4

Therefore the slope of the given line in  the image is -4 , Option A is the answer.

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The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

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The best estimate for expression of 19% of 205 is 40.

Option A is the correct answer.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find a percentage of a number, we can convert the percentage to a decimal by dividing it by 100.

In this case, we want to find 19% of 205.

To do this, we first convert 19% to a decimal by dividing it by 100:

19 ÷ 100 = 0.19

This tells us that 19% is equivalent to 0.19 as a decimal.

Next, we multiply the decimal by the given number, which in this case is 205:

205 x 0.19 = 38.95

Therefore,

The best estimate for 19% of 205 is 40.

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)

The angular speed in radians per second in which he is traveling is 60.2pi inch/sec.

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance / time.

Given that;

The diameter of bicycle wheel= 28inches

Rpm of wheel = 130rpm

Now,

Angular speed ω = 2pi*N/60 radian per second.

=2*pi*130/60

=260pi/60

=4.3pi radian per second

Speed of bicycle V = r*ω

V=14*4.3pi

V=60.2pi inch/sec

Therefore, the angular speed of ryan by the data is 60.2pi inch/sec.

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Answer:

the best estimate for the mean number of hours spent playing video games is 409.

Step-by-step explanation:

The best estimate for the mean number of hours spent playing video games is approximately 10.89 hours.

To find the best estimate for the mean number of hours spent playing video games, we need to calculate the midpoint of each interval and then find the weighted average based on the number of teenagers in each interval

Interval Midpoint (x) Number of Teenagers (f) Weight (x * f)

0-3.5 3.5 3 10.5

3.5-7.5 5.5 7 38.5

7.5-11.5 9.5 12 114

11.5-15.5 13.5 7 94.5

15.5-19.5 17.5 9 157.5

To find the best estimate for the mean, we sum up the weighted values and divide by the total number of teenagers:

Mean = (10.5 + 38.5 + 114 + 94.5 + 157.5) / (3 + 7 + 12 + 7 + 9)

= 414 / 38

≈ 10.89

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Answer:

60%

Step-by-step explanation:

We need convert 3/5 into a percent in order to find the answer.

We can convert by first dividing 3 by 5 to find the decimal value.

3/5= .6

Now we need to multiply by 100 to make it a percentage

.6 x 100= 60

60%

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

Answer:

D) $247.90

Step-by-step explanation:

\( \underline{\sf{y = 2.44x + 3.90}}\)

y is the dependent function whereas x is the independent function.

(What does this mean?)

The values of y depend on the values of x, I.e., any change in the value of x causes a change in the value of y, meanwhile, the opposite doesn't happen.

The cost to print the invitation depends on the number of invitations, for real.

The question asks us to find the cost of printing 100 invitations.

Substituting x for 100:

y = (2.44 × 100) + 3.90

y = 244 + 3.90

y = 247.90

The value of y obtained for x = 100 is the cost of printing 100 invitations – $ 247.90

By using trigonometry, the missing sides are

Example 1: x = 16.7

Example 2: x = 3.2

Example 3: x = 23.5

Example 4: x = 9.3

From the question we are to determine the value of the missing sides in the given triangles

We can determine the value of the missing sides by using SOH CAH TOA

Example 1

Angle = 42°

Opposite side = x

Hypotenuse = 25

Thus,

sin (42°) = x / 25

x = 25 × sin (42°)

x = 16.7

Example 2

Angle = 75°

Opposite side = 12

Adjacent side = x

Thus,

tan (75°) = 12 / x

x = 12 / tan (75°)

x = 3.2

Example 3

Angle = 36°

Hypotenuse side = x

Adjacent side = 19

Thus,

cos (36°) = 19 / x

x = 19 / cos (36°)

x = 23.5

Example 4

Angle = 53°

Opposite side = x

Adjacent side = 7

Thus,

tan (53°) = x / 7

x = 7 × tan (53°)

x = 9.3

Hence,

The missing sides are 16.7, 3.2, 23.5 and 9.3

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