The graph shows g(x) , which is a translation of f(x) = x^2

In a rectangle where the length is 3 times the width, and the perimeter is 3 times the width. The perimeter is 96 cm, the length is 36 cm and the width is 12 cm.

Given,

Length of a rectangle is 3 times the width.

Perimeter is 3 times the width.

Perimeter is 96 cm.

Let w be the width of the rectangle.

The length of the rectangle is 3 times the width, so the length l is 3w.

The perimeter of the rectangle is equal to the sum of all its sides, so:

2w + 2(3w) = 96

2w + 6w = 96

8w = 96

w = 12

Therefore, the length is 36 cm and the width is 12 cm.

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Answer:

the cost is now $5.40

Step-by-step explanation:

if 18.00 is 100%, and we need to find the new price we need to make 30% into a decimal. which is 0.3. then we multiply 0.3 times 18.00, and that equals 5.4, but since we are dealing with money the answer would be $5.40.

we multiply if we are trying to find the new amount and we divide to find the old amount.

The distance between the two boats will be equal to 63 meters.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

The image is attached with the answer below we can see the two boats at different angles 3 so the distance between the two boats will be calculated as:-

Distance of the boat at an angle of 22 degrees.

\(x_1 =\dfrac{50}{tan22}=123\ m\)

Distance of the boat at an angle of 15 degrees.

\(x_2=\dfrac{50}{tan15}=186\ m\)

So the distance between the two boats will be:-

x₂-x₁    =   186   -  123  =   63 m

Hence the distance between the two boats will be equal to 63 meters.

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Answer:

\(y=0.400x+-0.800\)

Step-by-step explanation:

Given the following question:

point A = (-3, -2)
point B = (2, 0)

To write the equation of the line that passes through two points we have to write the points in slope intercept form.

Formula for slope intercept:

\(y=mx+b\)

M is equal to the slope of the two points, so first we need to fine the slope of the two points.

\((-3,-2)=(x1,y1)\)
\((2,0)=(x2,y2)\)

\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{0--2}{2--3} =\frac{2}{5}\)
\(m=\frac{2}{5} =0.400\)

\(y=mx+b\)
\(y=-2\)
\(m=0.400\)
\(x=-3\)
\(-2=0.400(-3)+b\)
\(0.400\times-3=-1.20\)
\(-2+1.2=-0.800\)
\(b=-0.800\)

\(y=0.400x+-0.800\)

Hope this helps.

Answer: 9.1 is larger

Step-by-step explanation:

9.1 > \(\sqrt{82}\)

\(\sqrt{82}\) = 9.05

The largest number is, 9.1

We have to given that,

Two numbers are,

⇒ 9.1

And, √82

Since,

⇒ √82 = 9.05

Hence, We get;

⇒ 9.1 > 9.05

⇒ 9.1 > √82

So, The largest number is, 9.1

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Answer:

\(a_{73}=367\)

Step-by-step explanation:

\(a_n=a_1+(n-1)d\\a_{73}=7+(73-1)(5)\\a_{73}=7+(72)(5)\\a_{73}=7+360\\a_{73}=367\)

Answer: x ≤ 5

Step-by-step explanation:

x ≤ 5

The dot is on five and not clear so that means it could be 5, the arrow is also moving to the left so x is less than or equal to 5

Answer:

C) M = 75h

Step-by-step explanation:

50 miles in 40 minutes = 75 miles per hour

M = 75h

Answer:

AB= AC+CB

50 = (2x – 2 ) + 4(x+1)

50 = (2x – 2) + ( 4x+4)

50 = 6x +2

6x = 50 – 2

6x = 48

x= 48/6

x= 8

So; x=8 Q.E.D.

I hope I helped you^_^

Answer:

b = 21

Step-by-step explanation:

If there are 5 arithmetic means between 5 and b and the last term is 25, then we can find the value of b by using the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1)d

where a_n is the nth term, a_1 is the first term, n is the number of terms, and d is the common difference.

We know that there are 5 arithmetic means between 5 and b. Therefore, there are 7 terms in total (including 5 and b). We also know that the last term is 25. So we have:

a_7 = 25 a_1 = 5 n = 7

We can use these values to solve for d:

a_n = a_1 + (n - 1)d 25 = 5 + (7 - 1)d d = 4

Now that we know d, we can find b by using the formula for the fifth term:

a_5 = a_1 + (5 - 1)d a_5 = 5 + (4)(4) a_5 = 21

Therefore, b = 21.

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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Answer:

1/6

Step-by-step explanation:

its unlikley because 1 out of 6 chances that youll land on a six or something and a 50 50 chance that you'll land on heads or tails. Unlikcry for te dice rills and likekly for the coins toss

Answer:

80 %

Step-by-step explanation:

Step one:

Given data

We are told that Oscar made 28 out of 35 field goals during football practice.

Required

The percentage accuracy

Step two:

% Accurracy= number of goals/number of practice*100

% Accurracy= 28/35*100

% Accurracy=0.8*100

% Accurracy= 80%

Hence the percentage that he made is 80 %

Answer:

It's 80

Step-by-step explanation:

Answer:

It most like is 4.

The largest number that seems to go into all three numbers is 4.

4 x 5 = 20

4 x 4 = 16

4 x 6 = 24

Step-by-step explanation:

Answer:

4

Step-by-step explanaton:

also did u mean gcf not gfc

anyway

4*5=20

4*4=16

4*6=24

so the answer is 4

Work Shown:

\(\begin{array}{|c|c|c|c|} \cline{1-4}\text{Gait} & \text{Rate (km/hr)} & \text{Time (hr)} & \text{Distance (km)}\\\cline{1-4}\text{Four-beat} & 6 & 1 & 6*1 = 6\\\cline{1-4}\text{Two-beat} & 15 & 1/3 & 15*(1/3) = 5\\\cline{1-4}\text{Gallop} & 30 & 1/6 & 30*(1/6) = 5\\\cline{1-4}\text{Total} & & & 6+5+5 = 16\\\cline{1-4}\end{array}\)

Side notes:

Answer:

The percentage of IQs that would be over 80 is 68%.

Step-by-step explanation:

The percentage of IQs that would be over 80 is 68%.

This is because 68% of the population falls within one standard deviation of the mean on a normal distribution. In this case, the mean is 100 and the standard deviation is 16, so 68% of the population has an IQ between 84 and 116.

The remaining 32% of the population falls outside of one standard deviation of the mean. 16% of the population has an IQ below 84 and 16% of the population has an IQ above 116.

The mean is represented by the dotted line in the center of the graph. The standard deviation is represented by the two dotted lines on either side of the mean. The shaded area represents the 68% of the population that has an IQ between 84 and 116.

Question: Cindy spent $125 on ingredients for muffins and $92.40 on ingredients for bagels. Write an expression to represent Cindy's profit for m muffins and b bagels.

Solution:

If Cindy spent $125 on ingredients for muffins, then Cindy's profit for m muffins is:

and If Cindy spent $92 on ingredients for muffins, then Cindy's profit for b bagels is:

thus, an expression to represent Cindy's profit for m muffins and b bagels is:

Answer:

1,500 calories

Step-by-step explanation:

2,400 ÷ 8 = 300

300 × 5 = 1,500

The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

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Answer: X= 5/9

Step-by-step explanation: divide both sides by 3/5. 1/3 divided 3/5= 5/9

Answer:

5/9

Step-by-step explanation:

1/3 x 5/3 = 5/9

Answer:

From the way the problem is worded:

CDE is a straight angle made up of three angles: CDF of measure 43, FDG of unknown measure and GDE of measure 8x + 1.

EDH is outside CDE and is of measure 6x + 15.

Since DE bisects GDH to form GDE and EDH, those latter two angles are equal and thus 8x + 1 = 6x + 15 and x = 7 and substituting 7 for x, both angles are equal to 57 degrees.

Since CDF is 43 and GDE is 57 and CDE is 180 in total, then FDG = 180 - 43 - 57 = 80 degrees.

The required z-score is -0.5 and the probability that the firm WILL have a negative EPS is 30.85%.

Firm has a loss level EBIT of $175m and an expected EBIT of $200m with a standard deviation of $50m.

Z-score = (EBIT - Expected EBIT) / Standard deviation= (175 - 200) / 50= -0.5

Probability of having a negative EPS:

To find the probability that the firm will have a negative EPS, we need to find the area to the left of Z-score. As the Z-score is negative, we will be finding the left-tail probability using the standard normal table from the link below:

The area to the left of Z-score (0.5) is 0.3085 or 30.85%.

Therefore, the probability that the firm WILL have a negative EPS is 30.85%.

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Triangles= 180°

One right angle= 90°

Given angle= 57°

x= missing angle

Find the missing angle by subtracting angles from 180°.

90° + 57° + x= 180°

147° + x= 180°

x= 33° which is an acute angle

ANSWER:

The missing acute angle is 33°.

Hope this helps! :)

Among the provided statements, only the statement "Abnormalities in the reflexes can indicate brain damage" is true of newborn reflexes:

Newborn reflexes are automatic, involuntary movements or actions that are exhibited by infants in response to certain stimuli. These reflexes are typically present from birth and serve as important indicators of neurological development and overall health.

Abnormalities or deviations from the expected patterns of newborn reflexes can suggest underlying neurological issues or brain damage.

For example, the absence, asymmetry, or persistence of certain reflexes beyond the expected timeframe can be signs of potential neurological problems that require further evaluation and medical attention.

However, the other statements provided in the options are not accurate:

- Reflexes do not appear until the third week of life: This statement is false. Newborn reflexes are present from birth or shortly after birth, and they can be observed in the early days of a baby's life.

- Newborns have control over their reflexes: This statement is false. Newborn reflexes are instinctual and involuntary responses that occur without conscious control from the infant. As the baby grows and develops, they gain more control over their movements and their reflexes become integrated into voluntary actions.

- These reflexes become involuntary over time: This statement is false. Newborn reflexes are already involuntary from the start. They are not intentionally controlled by the baby and are automatic responses triggered by specific stimuli.

It's important to note that the presence or absence of specific newborn reflexes and their developmental patterns can vary among individuals, but deviations from the norm may indicate potential health concerns and should be addressed by medical professionals.

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Answer:

The first answer choice is correct

Step-by-step explanation:

the value of F(9) is approximately 23.308.

To find the value of F(9) given that F(x) is an antiderivative of (ln x)^3/x and F(1) = 0, we can use the fundamental theorem of calculus.

According to the fundamental theorem of calculus, if F(x) is an antiderivative of a function f(x), then:

∫[a,b] f(x) dx = F(b) - F(a)

Since F(1) = 0, we can write:

∫[1,9] (ln x)^3/x dx = F(9) - F(1)

To evaluate the integral, we can make a substitution:

Let u = ln x, then du = (1/x) dx

The integral becomes:

∫[ln 1, ln 9] u^3 du

Integrating u^3 with respect to u:

[(1/4)u^4] | [ln 1, ln 9] = (1/4)(ln 9)^4 - (1/4)(ln 1)^4

Since ln 1 = 0, we have:

(1/4)(ln 9)^4 - (1/4)(ln 1)^4 = (1/4)(ln 9)^4

Therefore, F(9) - F(1) = (1/4)(ln 9)^4

Since F(1) = 0, we can conclude that F(9) = (1/4)(ln 9)^4.

Calculating this value:

F(9) = (1/4)(ln 9)^4 ≈ 23.308

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Answer:

g = 239 25/48

Step-by-step explanation:

To solve for g, we need to isolate g on one side of the equation. We can start by adding 156 to both sides:

2/3g = 3 13/24 + 156

2/3g = 159 17/24

Next, we can multiply both sides of the equation by 3/2 to cancel out the denominator of 2/3:

g = (159 17/24) * (3/2)

g = 239 25/48

So the solution for g is g = 239 25/48

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