Use an area model to multiply (2x + 9) (3x + 4).
Fill in the blanks with the correct numbers.

Answer:

3^5/2 is 15.5885.

Step-by-step explanation:

This is plug in math! I'd recommend to get a Ti-84 (makes math like this so much easier)

Answer:

  243 square inches

Step-by-step explanation:

The area is the square of the side length:

  A = s^2

  A = (3^(5/2))^2 = 3^(5/2*2) = 3^5 = 243

The area of the square is 243 square inches.

_____

The relevant rule of exponents is ...

  (a^b)^c = a^(bc)

By dividing the output power (work completed) by the input power ratio, the motor's efficiency may be determined. In this instance, the input power is 300 W, and the output power is 2400 joules (400 N * 6.0 m). As a result, the motor has an efficiency of 2400 J/300 W, or 8.0.

The input power is 300 W.

Time (t) = 20 s

Height is 6.0 metres.

(F) = 400 N Load

Output power (Pout) is calculated as follows: F x h = 400 N x 6.0 m = 2400 J

Efficiency (e) is calculated as Pout / P = 2400 J / 300 W = 8.0.

A motor's efficiency can be determined by dividing its output power by its input power. Assuming that the input power is 300 W and the output power equals the amount of work completed, the load (F) and height can be multiplied to determine the output power (h). The output power in this example is 2400 joules (400 N * 6.0 m) since the load is 400 N and the height is 6.0 m. The motor's efficiency is 2400 J/300 W, or 8.0, as a result. Knowing the input power, output power, and length of time it took the motor to lift the load will help you determine the efficiency. In this illustration, the time is 20 s, and the input power is 300 W.

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The X should be placed in the corresponding shape for above each property.

What is the congruent angle?

When two parallel lines are cut by a transversal, the angles that are on the same side of the transversal and in matching corners will be congruent.

The X should be placed in the corresponding shape for each property:

Square: congruent angles, 4 congruent sides, perpendicular diagonals, 2 pairs of opposite sides congruent.

Rectangle: congruent angles, perpendicular diagonals, 2 pairs of opposite sides congruent.

Rhombus: 4 congruent sides, perpendicular diagonals, congruent diagonals, 2 pairs of opposite angles congruent.

Isosceles Trapezoid: congruent angles, congruent diagonals, 2 pairs of opposite sides congruent.

hence, The X should be placed in the corresponding shape for above each property.

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Answer:

SOMEBODY ANSWER THIS

Step-by-step explanation:

PLEASE

Answer:

779

Step-by-step explanation:

Aiming to get the value of formula

Given that

50° + 80² = 140°.

:: Cos140² = 100 + 700²³ - R²

kaw of ousines axivox. T

·· R² = 607246

R≈ 780 miles

• The result is T80 miles

Answer: d, f

explanation:

There are numerous ways to grade a class of ten students. There are seven possible grades that could be given (A, B, C, D, F, I, or NC), depending on the grading scheme employed.

This indicates that there are mathematically 7 to the power of 10 (710) distinct methods to give the kids grades. There are approximately 8.3 billion ways to grade the ten pupils, or 8,300,000,000 ways in total.

Because there are seven different grades for each student, this number is extremely high. The number of possible options increases exponentially because there are 10 pupils. As a result, there are countless alternatives for how to assess the 10 kids.

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The minimum value of the expression log_a(x)+log_x(x) is 2 because the minimum value of each term is 1.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

\(\rm a^b = c\\log_ac =b\)

We have:

1 < a ≤ x

We have an expression:

\(\rm log_a(x)+log_x(x)\)

We know,

\(\rm log_aa = 1\)

\(\rm log_a(x)+1\)

If a = x

Then, \(\rm log_a(x)=1\)

We cannot find the function value less than 1 because it goes infinitely in a negative direction.

So the minimum value of the expression:

= 1 + 1

= 2

Thus, the minimum value of the expression log_a(x)+log_x(x) is 2 because the minimum value of each term is 1.

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Answer:

6

Step-by-step explanation:

The number of signals will be the factorial of 3 which is 6

That is

3×2×1=6

This question is similar to asking the combination of clothes you'll put on when you have 3 shirts and 6 pants and 1 hat, the answer is 18.

The absolute maximum value for the given function

f(x) = 2x + 1, -2 < x < 0

      = -x² + 1 , x > 0   is equal to ( 0,1 ).

Graph is attached.

As given in the question,

Given function is equal to :

f(x) = 2x + 1, -2 < x < 0

      = -x² + 1 , x > 0  

Graph is attached.

From the attached graph we directly conclude that absolute maximum located at the point ( 0, 1) when both the curves meet at highest point.

From the calculation of the function we get,

f(x) = 2x + 1, -2 < x < 0

 Value of f(x) for x =  -2, -1, 0

f(-2) = 2(-2) + 1

      = -3

f(-1) = 2(-1) + 1

     = -1

f(0) = 2(0) +1

     = 1

Maximum value is ( 0,1) for f(x)

f(x) =  -x² + 1 , x > 0  

for x = 0 or any value greater than 0

f(0) = 1

f(1) = 0

f(2) = -3 and so on.

Maximum and common point is ( 0,1)

Therefore, the absolute maximum for the given function is equal to (0, 1).

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The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer:

120

Step-by-step explanation:

(5*12)*2

Answer:

so there are 3825 worker in total

Step-by-step explanation:

675=15%

women=85%

how much workers are 5%=675/3 =225

225=5%

how many workers is 85%= 85/5=17

                                    85%=225x17=3825

The missing side length is x = 30

What are basic Trigonometric functions?

The angles of sine,  cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant, and cosecant can be derived from the primary functions. Basically, the other three functions are often used as compared to the primary trigonometric functions.

In a Right-angled triangle, the tan of an angle is equal to the opposite side/adjacent side

from the given figure,

tan 37° = x/40

0.75 = x/40

x = 30

Therefore, The missing side is 30.

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Answer:

\(\huge\boxed{\sf a_{400}=1276}\)

Step-by-step explanation:

79, 82, 85, 88, ....

\(a_n=a_1+(n-1)d\)

Where,

Put the givens in the above formula

\(a_{400}=79 +(400-1)3\\\\a_{400}=79 + 399\times3\\\\a_{400}=79+ 1197\\\\a_{400}=1276\\\\\rule[225]{225}{2}\)

Answer:

b.28% of the patients tested received the medication and experienced a decrease in blood pressure

Answer:

The second one

Step-by-step explanation:

The total of patients is 100% wich is equivalent to 1.

● 0.5 of them received medication and ● 0.54 of them experienced a decrease in blood pressure.

The intersection of both is worth 0.28

So out of 1, 0.28 took medication and experienced a blood pressure decrease

Answer:

The pizza parlors cost the same when delivering 4 pizzas.

Step-by-step explanation:

For each store, the total price is

cost of pizzas + cost of delivery

The cost of delivery is just a fixed number for each store, $20 or $12.

The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.

Let x = number of pizzas

The cost of the pizzas is

Jacob's: 10x

Ashley's: 12x

Jacob's total cost (pizzas + delivery):

10x + 20

Ashley's total cost (pizzas + delivery):

12x + 12

We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.

12x + 12 = 10x + 20

Subtract 10 from both sides.

2x + 12 = 20

Subtract 12 from both sides.

2x = 8

Divide both sides by 2.

x = 4

Answer: The pizza parlors cost the same when delivering 4 pizzas.

1. We can see here to prove ΔPQR ≅ ΔTQS:

Statements                                        Reasons

1. Q is the midpoint of line PT

and RS                                                     Given

2. ∠PQR = ∠TQS                             Vertically opposite angles are equal

3. ∠RPQ = ∠STQ                             Alternate angles are equal

4. ∠QRP = ∠QST                              Alternate angles are equal.

A triangle is a basic two-dimensional geometric shape that consists of three line segments or sides and three angles. The three line segments are connected to form a closed shape, and the angles are formed where the sides meet.

2. Proving that ΔDFE ≈ ΔGFH, we have:

Statements                                          Reasons

1. Line DE || Line GH                            Given

2. ∠EFD = ∠GFH                             Vertically opposite angles are equal

3. ∠EDF = ∠HGF                             Alternate angles are equal

4. ∠DEF = ∠GHF                             Alternate angles are equal

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Volume = lxbxh=12x2x4=96 cubic inches (option C)

Use the Pythagorean identity cosØ ≈ -0.707 is the value of cosØ.

To solve for cosØ, we can use the Pythagorean identity: sin²Ø + cos²Ø = 1.

First, we need to find sin²Ø:

sin²Ø = (0.707)² = 0.5

Then, we can solve for cos²Ø:

cos²Ø = 1 - sin²Ø = 1 - 0.5 = 0.5

Finally, we take the square root of both sides to find cosØ:

cosØ = ±√0.5

Since Ø is in the second quadrant (π/2 < Ø < π), cosØ must be negative.

Therefore, cosØ ≈ -0.707 (rounded to the nearest thousandth).

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The probability that the mean weight of a sample of twenty freshmen will be greater than 145 pounds is 0.138.

The probability is determined using the central limit theorem and the formula for the standard error of the mean:

where;

Data given;

σ = 12.3 pounds; n = 20

SE = 12.3/√20

SE = 2.75 pounds.

The sample mean is then standardized using the z-score formula:

z = (x - μ) / SE

z = (145 - 142) / 2.75

z = 1.09

Using a calculator, the probability of a z-score greater than 1.09 is 0.138.

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The explicit solution to the initial value problem dy/dt = 2y with y(0) = 5/2 is given by: y = ±⁵/₂e²ᵗ

To find the explicit solution of the initial value problem dy/dt = 2y with y(0) = 5/2, separate the variables and integrate both sides.

Starting with the differential equation:

dy/dt = 2y

Rewrite it as:

dy/y = 2dt

Now, we integrate both sides with respect to their respective variables:

∫ dy/y = ∫ 2dt

The integral of dy/y can be evaluated as the natural logarithm of the absolute value of y, while the integral of 2 dt is simply 2t:

ln |y| = 2t + C

Here, C is the constant of integration.

To determine the value of the constant C, we can use the initial condition y(0) = ⁵/₂. Substituting t = 0 and y = ⁵/₂ into the equation above:

ln |⁵/₂| = 2(0) + C

ln |⁵/₂| = C

Thus, we have the value of C as ln |⁵/₂|.

Substituting this value back into the equation:

ln |y| = 2t + ln |⁵/₂|

To eliminate the natural logarithm, we can take the exponential of both sides:

|y| = e²ᵗ + ln |⁵/₂|

Since |y| represents the absolute value of y, write it as:

|y| = ⁵/₂e²ᵗ

To simplify further, we can remove the absolute value by considering both positive and negative values of y:

y = ±⁵/₂e²ᵗ

Therefore, the explicit solution to the initial value problem dy/dt = 2y with y(0) = 5/2 is given by: y = ±⁵/₂e²ᵗ

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If the rate of decay is proportional to the amount of the substance present at time t, then the amount remaining after 24 hours is 57.7 milligrams

Now we need to find the value of k. We know that the mass decreased by 5% after 6 hours, which means that the amount remaining is 95% of the initial amount. We can substitute these values into our formula and solve for k:

0.95 initial amount = initial amount x (1 - k x initial amount)⁶

Simplifying this equation, we get:

1 - \((0.95)^{(1/6)})\) = k x initial amount

Solving for k, we get:

k = (1 - \((0.95)^{(1/6)})\)) / initial amount

Now we can use this value of k to find the amount remaining after 24 hours:

Amount remaining = 100 x (1 - k x 100)²⁴

Plugging in the value of k, we get:

Amount remaining = 100 x (1 - (1 - \((0.95)^{(1/6)})\) * 100)²⁴

Evaluating this expression, we get:

Amount remaining = 57.7 milligrams

Therefore, after 24 hours, there will be approximately 57.7 milligrams of the radioactive substance remaining.

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From the composite functions, gog^-1(-3) = 3.

Finding the inverse of g(x):

Let y = g(x)

Then, we can solve for x in terms of y:

y = (x + 7)/(1 - x)

y(1 - x) = x + 7

y - yx = x + 7

y - 7 = x + yx

y - 7 = x(1 + y)

x = (y - 7)/(1 + y)

So, g^-1(x) = (x - 7)/(1 + x)

Now, we can find the composite functions:

gog^-1(x) = g[(x - 7)/(1 + x)]

= [(x - 7)/(1 + x) + 7]/[1 - (x - 7)/(1 + x)]

= [(x - 7) + 7(1 + x)]/[1 + x - (x - 7)]

= (8x)/8

= x

Therefore, gog^-1(x) = x.

g^-1og(x) = g^-1[(x + 7)/(1 - x)]

= [(x + 7)/(1 - x) - 7]/[1 + (x + 7)/(1 - x)]

= [(x + 7 - 7 + x)]/[1 - x + 7 + x/(1 - x)]

= (2x)/(2 - x)

Therefore, g^-1og(x) = (2x)/(2 - x).

g^-1og(3) = g^-1[(3 + 7)/(1 - 3)]

= g^-1[-5]

= (-5 - 7)/(1 + (-5))

= (-12)/(-4)

= 3

Therefore, g^-1og(3) = 3.

gog^-1(-3) = g[(-3 - 7)/(1 - (-3))]

= g[-1]

= (-1 + 7)/(1 - (-1))

= 6/2

= 3

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0

Step-by-step explanation:

The slope for this linear function would be 0.

It'd be a straight line, and slope tells you the steepness of a line, so it won't have slope.

Equation: x=-3

Image included to see line, and the two points.

Answer:

The slope is –3

Step-by-step explanation:

using the coordinate

(–3,4) and (–3,1)

x1 = –3,x2 = –3,y1 = 4, y2 = 1

using the formula for slope

m = y2 — y1/x2 — x1

m = 1 – 4/–3–(–3)

m = –3/–3+3

m = –3/0

m = –3

i hope this helps please rate the answer as brainliest so you can get some points

Answer:

i need help too

Step-by-step explanation: