Find 0% of 44:

Find 100% of 44:

Find 50% of 44:

Find 25% of 44:

Find 75% of 44:

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

where is the statement

Step-by-step explanation:

its incomplete po

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.

Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,

x / y = (1/2) / (1/3)

x / y = 3/2                        ...1

x + y = 5                          ...2

From equations 1 and 2, then we have

(3/2) y + y = 5

(5/2) y = 5

y = 2 quart

Then the value of 'x' is given as

x + 2 = 5

x = 3 quart

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

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9514 1404 393

Answer:

  -26, -25

Step-by-step explanation:

The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.

Hence, one is -26 and one is -25.

Answer:

Step-by-step explanation:

45

.....................................

Answer:

25

Step-by-step explanation:

Answer:

0.11

Step-by-step explanation:

just divide 0.0473 by 0.43.

it gives us 0.11

then multiply 0.11 with 0.43 to check ur answer.

Hello starkitty! :)

We can solve this equation by dividing both sides by 0.43 to isolate x:

x=0.11

Hope it helps!

\(*GraceRosalia*\)

*Just a girl who adores Brainly and listens to "Try Everything"

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Additional comment

If you found this answer helpful, please mark Brainliest! :)

Answer:  Choice A

f(x) = (x + 2)^2 - 11

=========================================================

Work Shown:

y = x^2 + 4x - 7

y+7 = x^2 + 4x

y+7+4 = x^2 + 4x + 4

y+11 = x^2 + 4x + 4

y+11 = (x + 2)^2

y = (x + 2)^2 - 11

f(x) = (x + 2)^2 - 11

In the third step, I added 4 to both sides to complete the square for the x^2+4x portion. Notice that (x+2)^2 = x^2+4x+4. So I added 4 to fill in the missing piece needed to complete the square.

Put another way the '4' added to both sides is because we first divided the x coefficient 4 in half to get 4/2 = 2. Then you square it to get 2^2 = 4.

--------------------

Alternative Method (optional)

y = x^2 + 4x - 7 is in the form of y = ax^2+bx+c

where: a = 1, b = 4, c = -7

Plug those a,b values into the formula below

h = -b/(2a)

h = -4/(2(1))

h = -2

This is the x coordinate of the vertex.

Use it to find the y coordinate of the vertex.

y = x^2 + 4x - 7

y = (-2)^2 + 4(-2) - 7

y = -11

The vertex is located at (h,k) = (-2,-11)

We have the template y = a(x-h)^2 + k update to y = (x + 2)^2 - 11 after plugging in a = 1, h = -2, and k = -11.

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer:

34

Step-by-step explanation:

A triangle will add up to a degree of 180, so if you add those 2 angles then subtract it from 180 you will get the answer. So, 115+31=146 then 180-146=34

So the answer is 34

Answer:

b = 34 degrees

Step-by-step explanation:

*triangles have an interior angle of 180 degrees

to find b, take the known angles (115 and 31) add them together and subtract the sum from 180:

⇒ 180 - (115 + 31)

solve:

⇒ 180 - 146 = 34

b = 34

Answer:

34.8 N at 2.5 degrees from the positive x-axis

Step-by-step explanation:

From the given information:

The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.

\(F_x = F cos A\\\\ F_y = Fsin A\)

Given that

\(F_1 = 50 \ N\)

\(\theta_1 = 30 ^0 \ \ \ (x-axis)\)

\(F_{1x} = F_1 \times Cos A_1\)

=  50 × cos 30

= 43.3 N

\(F_{1y} = F_1 \times Sin \ A_1\)

= 50 × sin 30

= 25 N

Similarly;

\(F_2 = 25 \ N\)

\(\theta_2 = 250 ^0 \ \ \ ( x-axis)\)

\(F_{2x} = F_2 \times cos \ A_2\)

= 25 × cos 250

= - 8.55 N

\(F_{2y} = F_2 \times A_2\)

= 25 × sin 250

= -23.5 N

The total net force;

\(F_{net} = F_{(net)}_x + F_{(net)}_y\)

\(F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j\)

\(F_{net} = (43.3 - 8.55) i + (25-23.5 ) j\)

\(F_{net} =34.75 i + 1.5 j\)

\(|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}\)

\(|F_{net} | = \sqrt{34.75^2 + 1.5^2}\)

\(|F_{net} | = 34.8 \ N\)

Finally, the direction of the angle for the net force is:

\(tan \theta = \dfrac{F_{net_y}}{F_{net_x}}\)

\(\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)\)

\(\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)\)

\(\theta = tan^{-1}( 0.043165)\)

\(\theta \simeq 2.5^0\ with \ positive \ x-axis\)

Answer:

\(f^{-1} (x)=-\frac{x}{2} +\frac{5}{2}\)

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Replace x and y,  to find inverse function f , and compute the resulting equation for x.

there will be more than one inverse if the elementary function is not one-to-one.

So, exchange the variable: \(y=5-2x\) becomes \(x=5-2y\)

Now, solve the equation: \(x=5-2y\) for y

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

Answer:

D) 55°.

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

\(y+(y+30)+40=180\)

\(2y+70=180\\\)

Subtract 70 from both sides:

\(2y+70-70=180-70\)

\(2y=110\)

Divide both sides by 2:

\(\frac{2y}{2}=\frac{110}{2}\)

\(y=55\)

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Answer: 2%

Step-by-step explanation:

First, we know that the experimental value is 13.3, and the true value 13.6. After plugging in, we get |13.3 - 13.6| = -0.3 which is just 0.3 as it is the absolute value. Then, we divide it by 13.6 which brings us the equation 0.3/1.36 which rounds to 0.022. Continuing, we multiply it by 100 which gets our answer of 2.2. The nearest percent is 2, so our answer is 2 percent.

Answer:

\( \boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}\)

Step-by-step explanation:

Given:

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

And,

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

To Find:

The Area of Shaded region

Solution:

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

\( \boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}\)

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

\( \tt\longrightarrow \: Area =B×h-l×b \)

Put their values accordingly:

\(\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2} \)

Simplify it.

[Follow BODMAS Rule strictly while simplifying]

\( \tt\longrightarrow \: Area = (84 - 45 ) in {}^{2} \)

\( \tt\longrightarrow \: Area = 39 \: {in}^{2} \)

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

\( \rule{225pt}{2pt}\)

I hope this helps!

A quadratic function in standard form that models the data is f(x) = f(x) = 0.5x² + 4x - 8.

In order to determine a quadratic function for the line of best fit that models the data points contained in the graph (scatter plot), we would have to use a graphing calculator (Microsoft Excel).

Based on the scatter plot (see attachment) which models the relationship between the x-values and y-values, a quadratic function for the line of best fit is given by:

f(x) = f(x) = 0.5x² + 4x - 8

In conclusion, we can reasonably infer and logically deduce that the scatter plot most likely indicates an inverse relationship between the x-values and y-values.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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The measure of the unknown angle or arc are 142 degrees, 65 degrees and 36 degrees

Figure 1

The measure of the angle is calculated as

Angle 1 = 1/2 * 284 degrees

Evaluate the expression

Angle 1 = 142 degrees

Figure 2

The measure of the angle is calculated as

Angle 1 = 1/2 *(72 + 58) degrees

Evaluate the expression

Angle 1 =  65 degrees

Figure 3

The measure of the angle is calculated as

Angle 1 = 1/2 *(138 - 66) degrees

Evaluate the expression

Angle 1 = 36 degrees

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A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

easy

Step-by-step explanation:

How to solve a system of equations by elimination.

Write both equations in standard form.

Make the coefficients of one variable opposites.

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

272 calories.

Step-by-step explanation:

jus solved it.

Answer:

480

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is a rectangular prism.

It's length in units = 4

It's breadth in units = 2

It's height in units = 3

Volume of the given rectangular prism

= length × breadth × height

= 4 units × 2 units × 3 units

= 24 cubic units (Ans)

Answer:

16, 24, 32

Step-by-step explanation:

The ratio is 8:3 so you would multiply both by the same number and that would give you 16:6, 24:9, 32:12

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

Step-by-step explanation:

1. the table on the left is a function, with the formula : y = x²

2. the table on the right is also a function, indicated by the values of the input are different each others