A baker has four containers. Three of the containers contain 3/4 pounds of sugar. The fourth container has 1/3 pound of sugar. How many total pounds of sugar does the baker have?

The limit of f(x) as it approaches -1 is given as 3/2

In mathematics and computation, the limit can be described to be the value that a sequence is going to approach in such a way that the input would approach or tend towards a given value

The unit is used to assign values to numbers at certain points where there are no defined values.

we have 3/x-1

We have to take the value of x here to be three as the equation tends to 1.

Then we apply it in the formula

3/3-1

= 3/2

Hence the limit of f(x) is given as 3/2

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Step-by-step explanation:

x= -2,

(x - 5) / 2= -6

( (-2) - 5) / 2= -6

(-7) / 2 = -6

-3.5 = - 6

right hand side not equal to left hand side of this equation.so,x= -2 cannot exist for this equation.

x=2,

(x - 5) / 2= -6

(2 - 5) / 2= -6

(-3) / 2= -6

-1.5 = - 6

right hand side not equal to left hand side of this equation.so,x= 2 cannot exist for this equation.

x= -17

(x - 5) / 2= -6

( ( -17) - 5) / 2= -6

(- 22) / 2= -6

-11 = -6

right hand side not equal to left hand side of this equation.so,x= -17 cannot exist for this equation.

x= -7,

(x - 5) / 2= -6

( ( -7) -5) / 2= -6

(-12) / 2= -6

-6= -6

right hand side equal to left hand side of this equation.so,x= -7 exist for this equation.

The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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Answer:

Step-by-step explanation:

The orthocenter of a triangle is the point of intersection of the lines containing its heights.

You find line like that leading line perpendicular to the side of the triangle and crossing the opposite vertex.

Point A is opposite to side BC so line perpendicular to BC that intersects point A is one of the lines needed to find orthocenter.

The recursive formula for our sequence is the one in the first option.

aₙ = aₙ₋₁ + 6

With a₁ = 7

Here we have the following sequence:

7, 13, 19, 25, ...

This one seems to be an arithmetic sequence, to check this, let's take the difference between consecutive terms:

13 - 7 = 6

19 - 13 = 6

25 - 19 = 6

This means that the recursive formula for our sequence is "add 6 to the previous term" or:

aₙ = aₙ₋₁ + 6

With a₁ = 7

so the correct option is the first one.

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Answer:

\(\huge\boxed{f = 5\ Hz}\)

Step-by-step explanation:

Given:

Time period = T = 0.2 sec

Required:

Frequency = f = ?

Formula:

f = 1/T

Solution:

f = 1/0.2

f = 5 Hertz

Answer:

\( \boxed{\sf Frequency \ (f) \ of \ the \ wave = 5 \ Hz} \)

Given:

Time Period (T) = 0.2 s

To Find:

Frequency (f) of the wave

Step-by-step explanation:

\( \sf Frequency (f) = \frac{1}{Time Period (T)} \)

\( \sf f = \frac{1}{0.2} \)

\( \sf f = \frac{1}{0.2} \times \frac{10}{10} \)

\( \sf f = \frac{10}{2} \)

\( \sf f = \frac{ \cancel{2} \times 5}{ \cancel{2}} \)

\( \sf f = 5 \: Hz\)

Answer:

676

Step-by-step explanation:

I think this is an arithmetic series, so

Sn = 26/2[2(1) + (26 - 1)2]

Sn = 13[2 + 50]

Sn = 13[52]

Sn = 676

Answer:

676

Step-by-step explanation:

A = 1

B = 3

C = 5

D = 7

...

Z = 51

              1   + 3    + 5   + 7    + 9 + 11  + 13  + 15  + 17  + 19 + 21 + 23 + 25

(+)       + 51 + 49 + 47 + 45 + 43 + 41 + 39 + 37 + 35 + 33 + 31 + 29 + 27

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

          52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52

13 * 52 = 676

Answer: 676

Answer:

y = -4/5 x - 5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

AD is a straight line and AC is 90 so DC = 180-90 =90

The arc is the same as the angle, since they go through the center

We want EDC = ED +DC

                      = 55+90

                        =145

Answer:

B. 145 degrees

Step-by-step explanation:

Angle EDC = 55 + 90

= 145°

Answer:

j

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

answer choice b

Step-by-step explanation:

hope it helps!!

Answer:

Since the diagonal is the maximum dimension in a square, if the length of the diagonal is less than the diameter of the circle which is 9cm, then the square can fit inside the circle.

Step-by-step explanation:

Given:

A circle that has a diameter of 9cm

Square that has a side length of 5cm

Find:

First, find the length of the diagonal of the square.

Solve:

Let D represents the length of the diagonal of square

Using the Pythagora's Theorem

D² = side² + side²

D² = 2side²

Since the length of square is equal to 5cm then,

D² = 2 × 5²

D² = 50

√D² = √50

D = √25 ×2

D = 5√2

D = 7.07106781187

D = 7.07

We can see that the length of the diagonal of the square is less than the diameter of the circle, so the square can fit inside the circle.

Answer:

The speed is 2/9 miles per minute

Step-by-step explanation:

Speed is defined as the distance covered per unit time.

The formula for speed is given by:

\(Speed = \frac{distance}{time}\)

Let s be the speed, d be the distance and t be the time then

\(s = \frac{d}{t}\)

Given

\(d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes\)

The speed will be calculated by dividing the number of miles by minutes

So putting the values in the formula

\(s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}\)

Hence,

The speed is 2/9 miles per minute

The largest angle is $5^{th}$ angle which has a measure of $179.33$ degrees.

In a convex pentagon, the sum of all interior angles is equal to 540 degrees. Therefore, we can write the following equation:
$$x+2x+3x+4x+5x-1=540$$
Simplifying the equation, we get:
$$15x-1=540$$
$$15x=541$$
$$x=36.07$$
Now that we know the value of x, we can find the measure of each angle:
$1^{st}$ angle: $x=36.07$ degrees
$2^{nd}$ angle: $2x=72.14$ degrees
$3^{rd}$ angle: $3x=108.21$ degrees
$4^{th}$ angle: $4x=144.28$ degrees
$5^{th}$ angle: $5x-1=179.33$ degrees

Therefore, the largest angle is $5^{th}$ angle which has a measure of $179.33$ degrees.
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Answer:

I think the answer is 9 feet

Step-by-step explanation:

Answer:

The answer is 4, 6, 8, and 10

Step-by-step explanation:

The graph shows that every time you move 1 right, you move 2 up.

Answer:

Hey there!

We must use what we are given, so even though it looks like there might be four isosceles triangles, we are only given CA=CE, so that only allows us to conclude mathematically that there is only 1 isosceles triangle.

Hope this helps :)

Step-by-step explanation:

4x^2-7x=3

4x^2-7x-3=3-3

4x^2-7x-3=0

X1,2= -(-7)±√(-7)^2-4*4(-3)/2*4

x1,2= -(-7)±√97/2*4

X=7+√97 /8,X=7-√97 /8

The correct interpretation of the confidence interval 14.8 < p < 31 is that we are 99% confident that the true population parameter, the width of widgets, falls between 14.8 and 31 units.

This means that if we were to repeat the sampling process multiple times and construct confidence intervals using the same method, 99% of those intervals would contain the true population parameter.

In other words, based on the given sample, we can say with 99% confidence that the width of widgets in the population is likely to be within the range of 14.8 to 31 units.

It is important to note that this interpretation assumes that the sampling process was random and that the sample is representative of the population. The width of the confidence interval reflects the precision of our estimation, with a narrower interval indicating a more precise estimate.

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Answer:

Step-by-step explanation:

Before we begin, I'm assuming that the two horizontal lines are parallel to one another, and as a result, the steep line is a transversal. We know that angle 1 (attached below) and angle 2 (attached below) have equal angle measures because of the corresponding angle theorem. We know that angle 2 and 3 (attached below) add up to 180 degrees because of the linear pair postulate.

Answer:

\(y = \sqrt{7^{2} + 3^{2} }\)

D. 7.6

Step-by-step explanation:

y² = 7² + 3²

y² = 49 + 9

y² = 58

y = (58)^½

y = Rationalize(7.61577310586) ~ 7.6

The new figure after the revolution is a cylinder of radius 5 and length 8

The volume is 200π

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

The graph

The shape on the graph is a rectangle with

length = 5

width = 8

When revolved across the x-axis, we have the shape to be

A cylinder of radius 5 and length 8 (option a)

This is calculated as

V = πr²h

substitute the known values in the above equation, so, we have the following representation

V = π * 5² * 8

Evaluate

V = 200π

Hence, the volume is 200π

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Answer:

The value of x is 18

Step-by-step explanation:

24 x 15 is 360. ( x + 12 ) x 12 = 360 as well. So, 360÷12=30. 30-12 = 18. So the full equation is (18+12)x12=24×15 which are both equal to 360.

The system of equations that to be used to calculate the number of chicken wings (x) and sliders (y) in the combination meal:

55x + 275y = 1100 and y = 8x.

A system of equations is a collection of one or more equations with multiple variables.

Let x represent each onion ring.

Allow each slider to be represented by y.

That is what we are told;

The calorie count for each onion ring is 55.

The number of calories in each slider is 275.

A combination meal of both contained 1100calories.

Thus;

The equation formed wiil be,

55x + 275y = 1100

It also shows that there are 8 more onion rings than as many sliders.

Thus;

The equation formed is,

y = 8x

Therefore the system of equations in the combination meal are as follows: 55x + 275y = 1100 and y = 8x.

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The possible maxima and minima of the function f(x) = 2x^3 + 3x^2 - 12x on the closed interval [-3, 2] are a local maximum at x = -1.5 and a local minimum at x = 0.

To find the possible maxima and minima, we need to analyze the critical points and endpoints within the given interval.

First, let's find the critical points by taking the derivative of the function:

\(f'(x) = 6x^2 + 6x - 12\)

Setting f'(x) equal to zero and solving for x, we find the critical points:

\(6x^2 + 6x - 12 = 0\\x^2 + x - 2 = 0\\(x + 2)(x - 1) = 0\)

The critical points are x = -2 and x = 1.

Next, we evaluate the function at the critical points and endpoints:

\(f(-3) = -27 + 27 + 36 = 36\\f(-2) = 16 - 12 + 24 = 28\\f(1) = 2 + 3 - 12 = -7\\f(2) = 16 + 12 - 24 = 4\)

Based on these values, we observe that f(-2) is the largest, representing a local maximum, and f(1) is the smallest, representing a local minimum.

Therefore, the possible maxima and minima on the closed interval [-3, 2] are as follows:

Local maximum at x = -1.5

Local minimum at x = 0

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