How my calories are in 48 oz if tea

1) to obtain the value of x, we must equate AC and BD based on the diagonal properties of a rectangle. Note that a rectangle's diagonal divides it into two congruent right triangles.

A rectangle's diagonals are all the same length. A square is a quadrilateral whose diagonals bisect each other, intersect at right angles, and are congruent.

Thus,

Since BD = AC

2x + 19 = 5x - 2

To solve the equation 2x + 19 = 5x - 2, we need to isolate x on one side of the equation.

First, we can simplify both sides by combining like terms. Subtracting 2x from both sides gives:

19 = 3x - 2

Next, we can isolate x by adding 2 to both sides:

21 = 3x

Finally, we can solve for x by dividing both sides by 3:

x = 7

Therefore, the solution to the equation 2x + 19 = 5x - 2 is x = 7

b) The Properties of Parallel Lines Intersected by a Transverse Postulate states that when a transversal intersects two parallel lines, the corresponding angles are congruent, the alternate interior angles are congruent, and the same-side interior angles are supplementary. This means that

∠LMN + ∠MNK = 180°

Thus,

115 +  ∠MNK = 180

∠MNK = 180 - 115

∠MNK = 65°

Learn more about rectangles:
https://brainly.com/question/29123947
#SPJ1

Answer:

It’s 105

Step-by-step explanation:

Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

The rule of (x, y) → (-x, y), which is reflection over y-axis.

Given that, ΔABC maps to triangle ΔA'B'C'.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).

Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.

Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.

From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.

Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.

To learn more about the reflection over y-axis visit:

https://brainly.com/question/15175017.

#SPJ1

Answer:

from the graph we can see that

for 2 gallones - it can travell 70 miles

4 gallones - 140 miles

we will take the first case

2 gallones - 70 miles

17 gallones - ? miles

cross multiply

\( \frac{17 \times 70}{2} \)

= 595 miles

Answer:

Number of books =10

Total number of ways =10!

Given pair of books to be together considering them as one

total sets =9

Number of ways of arranging them =9!ways

Those two books can be arranged in 2!

Total ways that the pair of books is together 

⇒9×2

Number of ways that are not together 

⇒10−9×2

⇒9(10−2)

⇒8×9

Answer:

I hope you understand please give brainliest

Step-by-step explanation:

We have a total of 10 books. If a particular pair of books must always be together, just tie these two books together and consider as a single book. Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9!

The appropriate Taylor series for an infinite series with the first four nonzero terms equal to ln(5/3) is 0/1!, 0/2!, 0/3!, and 0/4! .......

An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it.

The formula is:

∑​n=0​ to ∞(fⁿ(a)(x-a)ⁿ)/n!

Here,

∑​n=0​ to ∞(fⁿ(a)(x-a)ⁿ)/n!

at n=1,

=0/1!

at n=2,

=0/2!

at n=3,

=0/3!

at n=4,

=0/4!

Appropriate taylor series for first four nonzero terms of an infinite series that is equal to ln(5/3) is 0/1!, 0/2!, 0/3!, 0/4!.......

To know more about taylor series,

https://brainly.com/question/28158012

#SPJ4

​​

Yes, the relationship is proportional and the slope is 1000/3. The unit rate is also 1000/3. So, slope is directly proportional to the unit rate. Since, slope=unit rate.

When the ratio is expressed as a quotient, the same number is provided for every pair of distinct points on the same line ("rise over run"). In a diagram that shows a roof or a road as a description or a plan, the line may be practical as determined by a road surveyor; on a falling line, there is a negative "rise."

The slope's absolute value can be used to estimate a line's steepness, incline, or grade. The slope of a line in the plane that includes the x and y axes is commonly represented by the letter m and is defined as the difference between the y coordinate and the equivalent difference in the x coordinate between two distinct points on the line.

The sales are directly proportional to the number of days

The slope of the lines is given by (3, 1000), (6, 2000)

Slope=(2000-1000)/(6-3)

Slope=1000/3

From the graph given,

$1000 is obtained on 3 days.

Therefore, the unit rate is 1000/3

Therefore, Slope=unit rate=1000/3

To know more about slope, visit:

https://brainly.com/question/3605446

#SPJ1

Answer:

The Answer is c ..............

Answer:

\(a < - 12\)

Step-by-step explanation:

The current market price for the bond is $870 the yield to maturity is 14.13%

The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)

knowing that:

the formula is:

\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)

Putting the values:

\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)

Using the math we find that the percentage is  approximately 14.13%;

See more about percentage at brainly.com/question/32197511

#SPJ1

Answer:

Option A; \((\frac{5}{8} , -\frac{1}{4} )\)

Hope this helps!

Answer:

i wanna say A but im not for sure

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

y=mx+b

and b=y intercept

Answer:

True

Step-by-step explanation:

9 is the  x intercept and -5 is the y intercept. y in the equation is the answer.

7. Radius of circle P = 2       Radius of circle Q = 1

Coordinates of the point of tangency (4,2)

The equation of the tangency line is x = 4

8. AB is not a tangent. BC² ≠ AB² + AC²

9. The three radii of the circle are; CB, CF and CD

A diameter of the circle is BD

A tangent of the circle is GE

A chord of the circle is BD

A secant of the circle is AD

A point of tangency is F

7. To find the radius, identify the diameter of the circle. For the diagram, it can be said that the diameter of the circle P is 4.

The radius then is 4/2 = 2.

The radius of circle q is 2/2 = 1

You could also use the formula

Distance = sqrt((x2 - x1)² + (y2 - y1)²)

8. √4² + √12² = √160

√13 = 169

Therefore AB is not tangent. It is less than BC

9. The line that cuts the circle into two halves is the diameter. The lines than further cuts the diameter into equal parts are the radii's

Find more exercises on finding diameter and radius;

https://brainly.com/question/23891151

#SPJ1

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

Learn more about cross product property at

https://brainly.com/question/14308624

#SPJ1

The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:

B. 1 real root and 2 complex roots.

The function in this problem is defined as follows:

F(x) = x³ + 2x² + 4x + 8.

The function is of the third degree, hence the total number of zeros of the function is of 3.

From the graph, the function has only one x-intercept, which is given as follows:

x = -2.

Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.

More can be learned about the zeros of a function at brainly.com/question/16550963

#SPJ1

The expression value of 3x^2 - 2x+3 is 6x^2 - 13x + 6

Value of an Expression The value of the expression is the result of the calculation described by this expression when the variables and constants in it are assigned values. Letters can be used to represent numbers in an algebraic expression.

Apply the distributive property:

→ 3x (2 - 3) - 2 (2x - 3)

Apply the distributive property:

→ 3x (2x) + 3x ⋅ -3 - 2 (2x - 3)

Apply the distributive property:

→ 3x (2x) + 3x ⋅ -3 - 2 (2x) - 2 ⋅ -3

Simplify each term:

→ 6x^2 - 9x - 4x  + 6x

Subtract 4x from -9x

→ 6x^ - 13x + 6

Therefore, the expression value of 3x^2 - 2x+3 is 6x^2 - 13x + 6

Learn more about expression value here:

https://brainly.com/question/12370016

#SPJ4

The value of the expression given is 136.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x² - 2x + 3

We have to find the value of the expression when x = 7.

Substitute x = 7.

(3 × 7²) - (2 × 7) + 3 = (3 × 49) - 14 + 3

                               = 147 - 14 + 3

                               = 136

Hence the value of the expression is 136.

Learn more about Expressions here :

https://brainly.com/question/13949113

#SPJ2

Answer:

Step-by-step explanation:

The zeroes are the values of such that

m² - 11m + 18 = 0

Quadratic formula:

m = [11 ± √(11² - 4∘1∘18)]/[2∘1]

= [11 ± √49]/2

= [11 ± 7]/2

= 9, 2

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

For more such questions on Purchased:

https://brainly.com/question/28717901

#SPJ8

Answer:

\(\dfrac{3^{13}}{2}\)

Step-by-step explanation:

Given expression:

\(\dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot (3^2)^4}{(2^3)^2 \cdot 3^6}\)

\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\implies \dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot 3^8}{2^6 \cdot 3^6}\)

\(\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)

\(\implies \dfrac{3^{(5+6+8)} \cdot 2^{(4+1)}}{2^6 \cdot 3^6}\)

\(\implies \dfrac{3^{19} \cdot 2^{5}}{2^6 \cdot 3^6}\)

\(\implies \dfrac{3^{19} \cdot 2^{5}}{3^6 \cdot 2^6}\)

\(\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:\)

\(\implies 3^{(19-6)} \cdot 2^{(5-6)}\)

\(\implies 3^{13} \cdot 2^{-1}\)

\(\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:\)

\(\implies \dfrac{3^{13}}{2^1}\)

\(\textsf{Apply exponent rule} \quad a^1=a:\)

\(\implies \dfrac{3^{13}}{2}\)

Answer:

The result is 3¹³ /2

Step-by-step explanation:

Greetings

Answer:

20.8

Step-by-step explanation:

because you have to plus 8.3 and 12.5

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

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

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

for such more question on  variables.

https://brainly.com/question/19803308

#SPJ11

Answer:

It's A

Step-by-step explanation:

The y-intercept is 6, as seen on the chart.

To get the slope it is y2 - y1 / x2 - x1

Use the x and y intercepts

0 - 6 / 3 - 0

-6 / 3

-2

There you have your slope, just put it together!

y = -2x + 6

Answer:

(3.0)/(0.6)

m=6-0/0-3=-2

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct interpretation of the 95% confidence level is (D) Approximately 95% of all random samples of size 30 from the population will produce intervals that contain the mean size of farms in the United States.

In other words, if we repeatedly take random samples of size 30 from the population of farm sizes in the United States and construct 95% confidence intervals for the mean size in each sample, approximately 95% of those intervals will contain the true mean size of farms in the United States. The interval (367, 558) is just one of those intervals, and it is not a statement about the farm sizes in the sample or the farm sizes in the entire population.

To know more about confidence intervals visit :

https://brainly.com/question/17212516

#SPJ1

The value of the expression when z = -3 and y = -3 is 18

An algebraic expression can be defined as an expression which is made up of variables and constants, along with algebraic operations such as addition, subtraction, division, multiplication and some others.

From the information given, we have;

Now, let's substitute the value of y as -3 and that of z as -3

We have;

= zy + y²

= -3( -3) + ( -3)²\

Expand the bracket

= 9 + 9

Add the values

= 18

Thus, the value of the expression when z = -3 and y = -3 is 18

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Therefore, the range of the function is all real numbers except for 0. In interval notation, this can be written as (-∞, 0) U (0, ∞).

In mathematics, a function is a relation between two sets, where each element in the first set (called the domain) is associated with exactly one element in the second set (called the range). Formally, a function f from a set A to a set B is a rule that assigns to each element a in A a unique element b in B, denoted by f(a). The set A is called the domain of the function, and the set B is called the range.

Here,

The given function is y = x/(8-x).

To find the range of this function, we need to determine the possible values of y for all possible values of x.

First, we note that the function is undefined when the denominator (8-x) equals zero. Therefore, x cannot be equal to 8.

Next, we consider the behavior of the function as x approaches positive infinity and negative infinity.

As x approaches positive infinity, the value of y approaches zero. This is because the x term in the numerator grows much more slowly than the 8-x term in the denominator, causing the overall value of the function to approach zero.

As x approaches negative infinity, the value of y approaches negative infinity. This is because the x term in the numerator becomes very negative while the 8-x term in the denominator approaches 8, causing the overall value of the function to become very negative.

To know more about function,

https://brainly.com/question/28278699

#SPJ1

The three positive numbers whose sum is 27 will be 14, 1, and 12.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

Suppose the three positive numbers are x, y and z.

If the summation of numbers is 27.

⇒ x + y + z = 27 --- (1)

⇒ z = 27 - x - y

Suppose the square sum of the number be S.

∴ S = x² + y² + z²

⇒ S = x²+ y² + (27 - x - y)² --- (2)

We will optimize the function, partially differentiating it with respect to x and y, and setting dS/dx = 0 to get the minimum value of S.

2x + 2(27- x - y)(-1) = 0

2x - 54 + 2x + 2y = 0

4x + 2y - 54 = 0

y = 27 - 2x --- (3)

Differentiate partially with respect to y as

2y + 2(27 - x - y)(-1) = 0

2y - 54 + 2x + 2y = 0

4y + 2x - 54 = 0

x = 54 - 2y --- (4)

Substitute the value of y = 27 - 2x in the equation (4),

x = 12 - 2(27 - 2x)

x = 12 - 54 + 4x

4x - x = 54 - 12

3x = 42

⇒ x = 14

By substituting x = 14 in equation (3)

y =2(14) - 27

y = 28 - 27

⇒ y = 1

Substitute the values of x and y in equation (1),

14 + (1) + z = 27

z = -14+27-1

z= 12

Thus, the three positive numbers whose sum is 27 will be 14, 1, and 12.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

For more such questions on ratio of the sides

https://brainly.com/question/31529028

#SPJ8