Which expression is equivalent to -9(-2g - 4)+8

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

Considering the equation of the parabola, it is found that it's directrix is given by:

y = -2.5.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the equation is given by:

\(y = \frac{1}{8}(x - 2)^2 - 3\)

The coefficients are a = 1/8 = 0.125, h = 2, k = -3, hence the directrix is given by:

y = -3 + 4 x 0.125 = -3 + 0.5 = -2.5.

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Answer:

y= -5

Step-by-step explanation:

rewrite equation in standard form )\(4.2(y-(-3)=(x-2)^{2}\)

(h,K) = (2,-3), P=2

Parabola is symmetric around y-axis and so directrix   is a line parallel to the x axis, a distance -p form the center (2,-3) coordinate.

y= -3-p

y=-3-2

refine y= -5

Answer:

c

Step-by-step explanation:

hope this helps

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

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Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answer:

True

Explanation:

Bridget Riley was one of the most prominent artists associated with the 1960s 'Op Art' movement, which was an art movement that explored optical illusions and effects to create abstract art that played with the viewer's perception. However, there were many other artists associated with this movement, including Victor Vasarely, Richard Anuszkiewicz, and Yaacov Agam, among others.

Answer:

sin 4 x = 4 ( sin x − 2 sin 3 x ) √ 1 − sin 2 x

explanation: sin 4 x = 2 sin 2 x cos 2 x = 2 × 2 sin x cos x × ( 1 − 2 sin 2

= 4 sin x cos x − 8 sin 3 x cos x

Answer:

Step-by-step explanation:

\(8(j-6) +2 (5j-6)\\\\\mathrm{Expand}\:8\left(j-6\right):\quad 8j-48\\\\=8j-48+2\left(5j-6\right)\\\\\mathrm{Expand}\:2\left(5j-6\right):\quad 10j-12\\\\=8j-48+10j-12\\\\\mathrm{Simplify}\:8j-48+10j-12:\\\quad 18j-60\)

The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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Answer:

0.04 rad/sec

Step-by-step explanation:

A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 50 meters above the ground.

The rate of rise = dh/ dt = 4 m/s

h is the height of the balloon = 50 meters

Tanθ = opposite/ adjacent

tanθ = h / 50

Differentiating both sides of the equation with respect to t:

d(tanθ) / dt = (d/dt)(h/50)

dtanθ / dt = (dh/dt)(1/50)

But dh/dt = 4 m/s, dtanθ/dt = sec²θ

\(sec^2\theta\frac{d\theta}{dt} = (4)(1/50)\\\\sec^2\theta=\frac{1}{cos^2\theta}\\\\\frac{1}{cos^2\theta} \frac{d\theta}{dt} =0.08\\\frac{d\theta}{dt} =cos^2\theta(0.08)\\\\At\ h=50/ m\\\\tan\theta=\frac{h}{50}\\ \\tan\theta=\frac{50}{50}=1\\\\\\\theta=tan^{-1}1=45^o\\\\Substituting\ \theta=45^o:\\\\\frac{d\theta}{dt} =cos^2(45)*(0.08)\\\\\frac{d\theta}{dt}=0.04\ rad/sec\)

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Answer:

8 legs 4 eyes

Step-by-step explanation:

A hippo and a turtle

The answer to number 2 is- no it's not a right triangle

the answer to number 3 is- yes it is a right triangle

Answer:

Step-by-step explanation:

Plot the point (4, -1) in the 4th Quadrant.

The slope (-3/4) tells us what to do next:

With your pencil point initially on (4, -1), move it 4 units to the right, to (8, -1).

With your point initially on (8, -10, move it down 3 units, to (8, -4).  Plot (darken) (8, -4).

Draw a line through (4, -1) AND (8, -4)

The equation of a line for the given slope and the coordinate point is 4y=-3x+8.

Given that, the line with the slope -3/4 passes through the point (4,-1).

We need to find the line of equations.

The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. Let us consider a straight line of slope 'm' and y-intercept 'b'. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y = mx + b.

Now, substitute m=-3/4 and the point (4,-1) in y = mx + b and find the value of b.

That is, -1 = -3/4 (4)+b

⇒b=2

Then the equation becomes y=-3/4 x+2

⇒4y=-3x+8

Therefore, the equation of a line for the given slope and the coordinate point is 4y=-3x+8.

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Answer:

3

Step-by-step explanation:

Answer

Step-by-step explanation:

So she needs to give 25 pencils to each student.

1 box = 12

number of boxes = 25/12

                                  =2.08

round it to 3

To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

Answer:

what do you need?

Step-by-step explanation:

Answer:

The first is

Basketball : 2

Football :0

Nd da 3rd one (donno da name) : 4

Step-by-step explanation:

Please mark as brainliest

Answer:

why is your cat screaming at you?

Step-by-step explanation:

Answer:

x<1

Step-by-step explanation:

10x + 80 < 90

10x < 90 - 80

10x < 10

x < 1

Answer: 2 cm

Step-by-step explanation:

2 x 3 = 6

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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75% of the students are shorter than 68 inches.

Of the 8 students, only 2 are 68 inches tall or more, meaning theres 1/4 or 25% of students who are taller than 68 inches. That being said, that means there are 3/4 or 75% of students shorter than 68 inches. Thus meaning 75% is your answer.

I hope this helps!

Answer:

Assuming you mean on a number line.

Answer:

x <(with a underline) 1350

Step-by-step explanation:

Does not day more than or less than.

(m + n) has a magnitude of approximately 25.8.

We have,

Consider the two vectors as m and n.

To find (m + n), we need to add the two vectors.

To do this, we first need to determine the components of each vector.

Let's call the angle between vector m and the x-axis α, and the angle between vector n and the x-axis β.

Then we have:

|m| = 10, so the x-component of vector m is m_x = 10 cos α and the

y-component is m_y = 10 sin α.

|n| = 15, so the x-component of vector n is n_x = 15 cos β and the

y-component is n_y = 15 sin β.

We also know that the angle between vectors m and n is 75 degrees. Using the dot product, we can find the cosine of this angle:

m · n = |m| |n| cos 75

m · n = 10 * 15 * cos 75

m · n = 37.32

We also know that the dot product is equal to the sum of the products of the corresponding components:

m · n = (m_x) x (n_x) + (m_y) x (n_y)

37.32 = 10 cos α x 15 cos β + 10 sin α * 15 sin β

Now we have two equations with two unknowns:

m_x + n_x = (10 cos α) + (15 cos β)

m_y + n_y = (10 sin α) + (15 sin β)

We can solve for α and β using the equations we just derived:

m_x + n_x = (10 cos α) + (15 cos β)

10 cos α = (m_x + n_x - 15 cos β)

cos α = (m_x + n_x - 15 cos β) / 10

α = arccos[(m_x + n_x - 15 cos β) / 10]

m_y + n_y = (10 sin α) + (15 sin β)

10 sin α = (m_y + n_y - 15 sin β)

sin α = (m_y + n_y - 15 sin β) / 10

α = arcsin[(m_y + n_y - 15 sin β) / 10]

Now we can substitute these values into the equations for m_x + n_x and m_y + n_y to find (m + n):

m_x + n_x = 10 cos α + 15 cos β

m_y + n_y = 10 sin α + 15 sin β

We can use a graphical method to estimate the values of α and β. Start by drawing vector m with length 10 and angle α with respect to the x-axis. Then draw vector n with length 15 and angle β with respect to the x-axis, starting the tail of n at the head of m.

The parallelogram formed by the two vectors will have a diagonal that represents (m + n). Use a ruler to measure the length of this diagonal to the nearest hundredth.

We can use the law of cosines to find the magnitude of (m + n):

|(m + n)|² = |m|² + |n|² + 2|m||n| cos 75

|(m + n)|² = 10² + 15² + 2(10)(15) cos 75

|(m + n)|² = 665.19

|(m + n)| = 25.8 (to the nearest hundredth)

Therefore,

(m + n) has a magnitude of approximately 25.8.

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Answer:

c. The data are continuous because the data can take on any value in an interval.

Step-by-step explanation:

Discrete data are those which can take up only specific values. Discrete data values may include the number of children in a particular school, the number of visitors received per day. All this values are specific and cannot just take up any number one f values within an interval. Continous data on the other hand can take up any number of data values between an interval. Continous data types are usually height temperature, length(distance data). There can be infinite number of possible data within interval values.

Answer:

\(x \leqslant - 4\)