(-3.2)(-41) = ? Please help

Step-by-step explanation:

5(4× - 2)

5x4=20

5×2=10

Answer = 20x - 10

Answer:

20x-10

Step-by-step explanation:

Simply multiply.

5 × 4X = 20X

5× -2 = -10

Combine both

20X - 10

Answer:

526 X 9= 4734 is the answer.

An acute angle theta that satisfies the equation sin θ =cos (2 theta + 27 degrees) is 45 degrees.

To find an acute angle theta that satisfies the equation sin theta =cos (2 theta + 27 degrees), we can use the identity cos (90 - theta) = sin theta.

Substituting 90 - theta for 2 theta + 27 degrees, we get:
sin theta = cos (90 - theta)

Using the identity cos (90 - theta) = sin theta, we can simplify the equation to:
sin theta = sin (90 - theta)
Since sin θ = sin (90 - theta), we can conclude that theta = 90 - theta.
Solving for theta, we get:
2 theta = 90
theta = 45 degrees
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Answer:

7

Step-by-step explanation:

Hey there!

In order to answer this question you need to substitute the "y-value"

As you can see, y=8 and we need to put 8 where there is y

8-3+2 is what the equation will look like

Now we can simplify

8-3 is 5 and 5+2 is 7

So your answer is 7

Answer:

y=-4x+5

Step-by-step explanation:

Answer:

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

\(y=mx+b\)

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

\(x-2y=4\)

solving for y to writing the equation in the slope-intercept form and determining the slope

\(x-2y=4\)

Add -x to both sides.

\(x - 2y + (-x) = 4+(-x)\)

\(-2y = 4 - x\)

Divide both sides by -2

\(\frac{-2y}{-2}=\frac{-x+4}{-2}\)

\(y=\frac{1}{2}x-2\)

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

the polar equation of the form r = f(t) for the curve represented by the Cartesian equation x = 3.sec(t)

To find a polar equation for the given Cartesian equation x = 3, we need to convert it into polar form. We know that x = rcos(t) and substituting x = 3, we get 3 = rcos(t). Solving for r, we get r = 3/cos(t) which simplifies to r = 3sec(t). The polar coordinate system uses an angle t (or theta) and a distance r to describe a point in the plane. To convert a Cartesian equation to polar form, we need to express x and y in terms of r and t. In this case, we are given x = 3. We know that x = rcos(t), so we substitute x = 3 into this equation and get 3 = rcos(t). Solving for r, we get r = 3/cos(t). This can be simplified to r = 3sec(t), which is our polar equation of the form r = f(t).

In this equation, sec(t) is the reciprocal of cos(t), which means that the value of r will get larger as cos(t) gets smaller (i.e. as t approaches 90 degrees or pi/2 radians). This makes sense since the Cartesian equation x = 3 represents a vertical line passing through the point (3,0) on the x-axis. As we move up the line (in the positive y direction), the distance from the origin increases and the angle t approaches 90 degrees. Therefore, the value of r should get larger as t approaches 90 degrees, which is exactly what our polar equation shows.

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Answer:

45%

Step-by-step explanation:

18/40

You multiply this by 10/10 to get

180/400

And then you divide by 4 to get

45/100

= 0.45

= 45%

answer:

338 out of 520

step by step:

13 out of 20 dont favor mystery

13:20

? :520

520÷20=26

13×26= 338

338 students out of 520 do not favor mysteries

Answer:The walnuts weigh 31 pounds PER CRATE!!!!

Step-by-step explanation:

The amount of weight of the walnuts alone will be 620 pounds.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Twenty full crates of walnuts weigh 820 pounds, whereas an empty crate weighs 10 pounds.

Then the amount of the weight of the walnuts alone will be

⇒ 820 - 10 x 20

⇒ 820 - 200

⇒ 620 pounds

The amount of weight of the walnuts alone will be 620 pounds.

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The value of y in the given question will be y = -2x  +  26.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The value of y will be calculated as:-

Given the equation :-

4y  -  2x  =  12

y =  x / 2 + 12

Now for two perpendicular lines, the product of the intercepts is -1

m₁  x  m₂  = -1

So the new intercept will be

m₂ = -1 / m₁ = -1 / 1 / 2 = -2

So new equation will be

y  =  -2x  +  c

2 = -2  x  12  +  c

c  =  26

So the equation will be:-

y =  -2x  +  26

Therefore the value of y in the given question will be y = -2x  +  26.

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The appropriate procedure for estimating the mean difference in this scenario is one sample confidence interval for paired data. The correct option is B.

In this study, each subject uses both the new hand sanitizer and the sanitizer currently in use, with the number of bacteria measured for each hand. This is a paired design, as each subject serves as their own control.

By using a one sample confidence interval for paired data, we can estimate the mean difference in the number of bacteria between the two sanitizers and determine the level of confidence in the estimate. This approach takes into account the paired nature of the data and provides a confidence interval specifically tailored for such situations.

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We know the initial population is 4

The growth rate is .35

P1 = P0 + P0*.35 = P0(1+.35)

P1 = 4 + 4(.35) = 4( 1+.35) = 4(1.35) = 5.4

P2 = P1 + P1* .35 = P1 ( 1+.35) =

5.4( 1.35) =7.29

Notice that we are multiplying the previous term by 1.35 each time

We can rewrite P2

P2 = P1 ( 1.35) =

Replacing P1 with P0(1.35)

P2 = P0(1.35) ( 1.35)

P2 = P0 ( 1.35) ^2

The general formula is

Pn = P0 ( 1.35) ^n

P11 = P0 (1.35) ^11

= 4 ( 1.35) ^11

= 108.5754017

A) Probability that the person opposed the tax and is female.

From the given table :

The number of person opposed the tax and is female is 297

Probability = 297/1054

Probability hat the person opposed the tax and is female. = 0.281

B) Probability that the person supports the tax or is male.

From the given table :

the number of person supports the tax or is male = 156

Total number of people = 1054

Probability = 156/1054

Probability = 0.148

Probability that the person supports the tax or is male is 0.148

C) Probability that the person is not unsure or is female.

From the given table :

Number of people that are not unsure or is female = 20/1054

Probsbility = 0.0189

Probability tha the person is not unsure or is female is 0 .0189

Answer:

The scientist would be able to go to the rain forest for only 2 days.

Step-by-step explanation:

The scientist only has 1,283. You subtract 1,283 by 122 and 499 and you are left with 662. The scientist wants to go to the rain forest again so he spends 122 and 499 with 662. All he has left now is 41. He can't afford it anymore.

Answer:

-5

Step-by-step explanation:

Answer: 2¹/₃ hours per week

Step-by-step explanation:

Bryce practices his piano for 1/3 hours each day.

The number of days in a week is 7 days so to find out the number of hours he practices per week, multiply the number of hours practiced per day by 7.

= 1 /3 * 7

= 7 / 3

= 2¹/₃ hours per week

Answer:

Step-by-step explanation:

answer = 1/2 r + m

m = 7

r = 8

answer = 1/2 * 8 + 7

answer = 4 + 7

answer = 11

Answer:

x = -1/2 , 4

Step-by-step explanation:

1) If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x+1=0

x−4=0

2) Set the first factor equal to 0.

2x+1=0

3) Subtract 1 from both sides of the equation.

2x=−1

4) Divide each term by 2 and simplify.

2x/2= −1/2

5) Cancel the common factor of 2.

x= −1/2

6) Move the negative in front of the fraction.

x = −1/2

7) Set the next factor equal to 0 and solve.

x=4

8) The final solution is all the values that make

(2x+1)(x−4) = 0 true.

9) x = −1/2 , 4

Answer:

We know that 9 = 30 + 9, so by the distributive property:

39(5) = (30 + 9)(5) = 30(5) + 9(5).

Multiply 30 × 5 and 9 × 5. Then add the products.

30(5) = 150, and 9(5) = 45, so

150 + 45 = 195 = 39(5).

Answer:

D

Step-by-step explanation:

Left side of graph having a y almost =0 but not on the line of y=0

Step-by-step explanation:

The inverse of an exponential function is logarithmic.

switch y & x places first

x = 3^y

then apply log rule.

log y to the base 3 = x

The forecasting method that is appropriate when the time series has no significant trend, cyclical, or seasonal effect is moving averages.

Using past data as inputs, forecasting is a process that produces accurate predictions of the future course of trends. Businesses use forecasting to decide how to spend their budgets and make plans for forthcoming costs. Typically, this is based on the anticipated demand for the provided goods and services. Forecasting is a tool used by investors to predict if certain events, such sales projections, would raise or lower the price of a company's stock. For businesses that require a long-term view on operations, forecasting also offers an essential benchmark.

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Answer:

3456

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

There are 4 A's and 3 B's, so the ratio would be 4:3.

The ratio would not be 3:4, because you are asking for A's to B's, and not B's to A's.

Answer:

4:3

Step-by-step explanation:

There are 4 A's in this set and only 3 B's. Often confused as 3:4, however, that would be the ratio of B's to A's. This ration can't be simplified either leaving it at 4:3.

Hope this helps! :)

The expressions are expanded to give;

1. 2x² - 5x

2. 6x² + 8x

3. 6x² - 12xy

Algebraic expressions are defined as expressions consisting of  variables, coefficients, constants, terms and factors.

These expressions are also known to consist of mathematical operations, which includes;

From the information given, we have that;

a. x (2x - 5)

expand the bracket

2x² - 5x

b. 2x (3x+4)

expand the bracket

6x² + 8x

c. 6x(x-2y)

expand the bracket

6x² - 12xy

Hence, the expressions are 2x² - 5x, 6x² + 8x and 6x² - 12xy

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Answer:

1) 2x² - 5x

2) 6x² + 8x

3) 6x² - 12xy

Step-by-step explanation:

1) x ( 2x - 5 )

To expand the above, multiply both terms inside the brackets by x.

2x² - 5x

2) 2x ( 3x + 4 )

To expand the above, multiply both terms inside the brackets by 2x.

6x² + 8x

3) 6x ( x - 2y )

To expand the above, multiply both terms inside the brackets by 6x.

6x² - 12xy

Answer:

441 miles

Step-by-step explanation:

1st find rate from the given

D = RT

315 = 5R

63 = R miles/hour     so,

then find distance for 7 hours

D = RT

D = 63 * 7

D = 441

Answer:

Item 3. 4 3/8

Item 4. 4/9

Item 5. 4/3

Item 6. 1/8

Item 7. 0.8

Item 8. 5.20 or 5.2 (You can choose which to put)

Item 9. 1 7/8

Item 10. A 2008=24500 2009=26000 2010=27500 2011=29000

Step-by-step explanation:

Answer:

\(\textsf{a)} \quad \dfrac{1}{2}\)

\(\textsf{b)} \quad -2\)

\(\textsf{c)} \quad a = -4,\;\; a = 6\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{9cm}\underline{Gradient Formula}\\\\Gradient $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)

Given points:

Substitute the given points into the gradient formula to find the gradient of line PQ:

\(\textsf{Gradient}=\dfrac{-a-(a-2)}{(4-3a)-a}=\dfrac{-a-a+2}{4-3a-a}=\dfrac{2-2a}{4-4a}=\dfrac{2(1-a)}{4(1-a)}=\dfrac{2}{4}=\dfrac{1}{2}\)

If two lines are perpendicular to each other, their gradients are negative reciprocals.

Therefore, the gradient of a line perpendicular to PQ is:

\(\implies \textsf{Gradient}=-2\)

\(\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}\)

Substitute the points and the given distance 10√5 into the formula and solve for a.

\(\implies 10\sqrt{5}=\sqrt{((4-3a)-a)^2+(-a-(a-2))^2}\)

\(\implies 10\sqrt{5}=\sqrt{(4-3a-a)^2+(-a-a+2)^2}\)

\(\implies 10\sqrt{5}=\sqrt{(4-4a)^2+(2-2a)^2}\)

\(\implies 500=16-32a+16a^2+4-8a+4a^2\)

\(\implies 500=20a^2-40a+20\)

\(\implies 25=a^2-2a+1\)

\(\implies a^2-2a-24=0\)

\(\implies a^2-6a+4a-24=0\)

\(\implies a(a-6)+4(a-6)=0\)

\(\implies (a+4)(a-6)=0\)

Apply the zero-product property:

\(\implies a+4=0 \implies a=-4\)

\(\implies a-6=0 \implies a=6\)

Therefore, the two possible values of a are:

The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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