The scale below represents which equations or inequality?

Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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Answer:

* Ratios are proportional if they represent the same relationship.

*If the reduced fractions are the same, your ratios are proportional.

*If two ratios are proportional is to write them as fractions and then reduce them.

Hope its helpful

Thank you

Answer:

we need explaining of this question

Question:

Consider the line which passes through the point P(-5, 1, 4), and which is parallel to the line x=1+7t,y=2+1t,z=3+7t. Find the point of intersection of this new line with each of the coordinate planes: xy-plane, xz-plane and yz-plane.

Answer:

The line intersects the xy plane at (-3, \(\frac{11}{7}\), 0)

The line intersects the xz plane at (-13, 0, -11)

The line intersects the yz plane at (0, \(\frac{13}{7}\), 2)

Step-by-step explanation:

Vector form of a line can be written as;

r(t) = r₀ + vt

Where;

r₀ = position vector of the point where the line passes through

v = direction or slope vector of the line.

From the question, we have a line passing through the point P(-5, 1, 4). This means that;

r₀ = (-5, 1, 4)

Also, the line is parallel to another line with parametric equations:

x=1+7t ------------------(i)

y=2+1t ----------------(ii)

z=3+7t ---------------(iii)

Since the first line is parallel to the second line, then their gradient or slope vector must be the same. This means that;

v = (7, 1, 7)           [which are the coefficients of t in the parametric equations]

Therefore, the first line can be written as;

r(t) = (-5, 1, 4) + (7, 1, 7)t

Now, to get the point of intersection of this line with each of the coordinates;

(i) The line will intersect the the xy plane when z = 0

Substitute z = 0 into equation (iii)

0 = 3 + 7t

t = \(\frac{-3}{7}\)

Now substitute t = \(\frac{-3}{7}\) into equation(i)

x = 1 + 7(\(\frac{-3}{7}\))

x = -3

Also, substitute t = \(\frac{-3}{7}\) into equation (ii)

y = 2 + 1(\(\frac{-3}{7}\))

y = \(\frac{11}{7}\)

Therefore, the line intersects the xy plane at (-3, \(\frac{11}{7}\), 0)

(ii) The line will intersect the xz plance when y = 0

Substitute y = 0 into equation (ii)

0 = 2 + 1t

t = -2

Now substitute t = -2 into equation(i)

x = 1 + 7(-2)

x = 1 - 14

x = -13

Also, substitute t = -2 into equation (iii)

z = 3 + 7(-2)

z = 3 - 14

z = -11

Therefore, the line intersects the xz plane at (-13, 0, -11)

(iii) The line will intersect the yz plane when x = 0

Substitute x = 0 into equation (i)

0 = 1 + 7t

t = \(\frac{-1}{7}\)

Now substitute t = \(\frac{-1}{7}\) into equation(ii)

y = 2 + 1(\(\frac{-1}{7}\))

y = \(\frac{13}{7}\)

Also, substitute t = \(\frac{-1}{7}\) into equation (iii)

z = 3 + 7(\(\frac{-1}{7}\))

z = 3 - 1

z = 2

Therefore, the line intersects the yz plane at (0, \(\frac{13}{7}\), 2)

Answer:

$90

Step-by-step explanation:

Off course the school district will pay in salary by $90 less.

The equivalent ratios are 8: 6 and 12:9.    

Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.  

Here we have 4:3

To find equivalent ratios, we can multiply both terms by the same number.

Multiplying by 2

=> 4 × 2 : 3 × 2

=> 8 : 6

Multiplying by 3

=> 4 × 3 : 3 × 3

=> 12: 9

Therefore,

The equivalent ratios are 8: 6 and 12:9.    

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Complete Question

What is the equivalent ratio for 4: 3

Answer:

Step-by-step explanation:

Is in

Answer:

1. 3/5 2. 5/8 3. 7/11 4. 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are four fractions. Write them small to large 2/3 3/5 5/8 7/11

11+11 = 22

The measure of the unknown angles in the parallel lines AC and DF with transversal HJ are as follow,

m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

Two lines AC and DF are parallel to each other  in the attached figure

Transversal HJ cut  lines AC and DF at point B and E respectively.

Measure of ∠ABE = 63°.

Using the result based on corresponding angles, alternate interior angles , and vertically opposite angles of a parallel lines we get,

Measure of ∠ABE ≅ Measure of ∠DEH ( corresponding angles)

⇒Measure of ∠DEH = 63°

Measure of ∠ABE ≅ Measure of ∠BEF ( alternate interior angles)

⇒Measure of ∠BEF = 63°

Measure of ∠ABE ≅ Measure of ∠CBJ ( vertically opposite angles)

⇒Measure of ∠CBJ = 63°

Using the result of linear pair angles,

Measure of ∠ABE + Measure of ∠CBE = 180°

⇒ Measure of ∠CBE = 180° -63°

⇒  Measure of ∠CBE = 117°

Measure of ∠CBE ≅ Measure of ∠FEH ( corresponding angles)

⇒Measure of ∠FEH = 117°

Measure of ∠CBE ≅ Measure of ∠BED ( alternate interior angles)

⇒Measure of ∠BED = 117°

Measure of ∠CBE ≅ Measure of ∠ABJ ( vertically opposite angles)

⇒Measure of ∠ABJ = 117°

Therefore, the measure of the seven unknown angles formed in the parallel line are given by m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

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The above question is incomplete, the complete question is:

Lines AC and DF are parallel. They are cut by transversal HJ with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E.

In the attached figure.

Answer: 9180 mg

Step-by-step explanation:

First we must convert the patients weight from lb to kg.

102lb x \(\frac{0.45kg}{1lb}\) = 102 x 0.45 kg = 45.9 kg

Now to calculate the amount of the drug she should receive.

45.9 kg x \(\frac{200mg}{kg}\) = 9180 mg

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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Answer: Required minimum sample size = 2017

Step-by-step explanation:

Formula : Sample size(n) for population proportion(p):

\(n= p(1-p)(\frac{Z^c}{E})^2\) , where E = Margin of error

If p = proportion of smokers

Given: p =0.30 and E=0.02

\(z^c\) for 95% confidence level = 1.96

So,

\(n=0.30(1-0.30)(\dfrac{1.96}{0.02})^2\\\=0.30(0.70)(98)^2\\\\=2016.84\approx2017\)

Hence, required minimum sample size = 2017

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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Answer:

162

Step-by-step explanation:

4.5x9x4

Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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Answer:

D. 130

Step-by-step explanation:

The lines are tangent to the circle therefore 90º which makes 65º + 25º.  The small triangle with C is iso so the angle of C would be 130 and equivalent to x

Answer:

\(D.\ \ 130\)

Step-by-step explanation:

1. Approach

Refer to the attached diagram of the figure for further explanation. In this problem, one is asked to solve for the degree measure of arc (x). The easiest method to do so is to use the triangle (CAB). One can solve for the measure of angle (<CBA) by using the tangent to radius theorem. Then one can solve for the measure of angle (CAB) by using the base angles theorem. Then one can use the sum of angles in a triangle theorem to solve for angle (<BCA). Finally, one can use the central angles theorem to solve for the arc (x).

2. Find the measure of angles in the triangle

A. Find the measure of angle (<CBE)

As per the given image, lines (BE) and (AE) are tangent. This means that they intersect the circle at exactly one point. A radius is the distance from the center of a circle to the circumference or outer edge of a circle. All radii in a single circle are congruent. The radius of tangent theorem states that, when a tangent intersects a circle at a point of tangency, and a radius also intersects the point of tangency, the angle between the radius and the tangent is a right angle. One can apply this here by stating the following:

\(m<CBE = 90\)

Express angle (<CBE) as the sum of two other angles:

\(m<CBE = m<CBA + m<ABE\)

Substitute with the given and found information:

\(m<CBE = m<CBA + m<ABE\)

\(90 = m<CBA + 65\)

Inverse operations,

\(90 = m<CBA + 65\)

\(25= m<CBA\)

B. FInd the measure of angle (<CAB)

As stated above all radii in a single circle are congruent. This means that lines (CB) and (CA) are equal. Therefore, the triangle (CAB) is an isosceles triangle. One property of an isosceles triangle is the base angles theorem, this theorem states that the angles opposite the congruent sides of an isosceles triangle are congruent. Applying this theorem to the given problem, one can state the following:

\(m<CBA = m<CAB = 25\)

C. Find the measure of angle (<ACB)

The sum of angles in any triangle is (180) degrees. One can apply this theorem here to the given triangle by adding up all of the angles and setting the result equal to (180) degrees. This is shown in the following equation:

\(m<CAB + m<CBA + m<ACB = 180\)

Substitute,

\(m<CAB + m<CBA + m<ACB = 180\)

\(25 + 25 + m<ACB = 180\)

Simplify,

\(25 + 25 + m<ACB = 180\)

\(50 + m<ACB = 180\)

Inverse operations,

\(50 + m<ACB = 180\)

\(m<ACB = 130\)

3. Find the measure of arc (x)

The central angles theorem states that when an angle has its vertex on the center of the circle, its angle measure is equivalent to the measure of the surrounding arc. Thus, one apply this theorem here by stating the following:

\(m<ACB = (x)\\130 = x\)

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

Answer:

C = $6050

Equation:

To write the equation, we have to remember that C is the total cost, so that means the equation should end in "= C". S is the amount of sugar, so the equation would look something like this:

\(3500+150(S)=C\)

3500 is at the beginning since that is the cost for the trucks, and each ton of sugar costs $150, and that would get multiplied by S amount of sugar, to get the total cost, C.

Solving the equation

To solve the equation when S = 17, we simply have to plug in S as 17 into our equation we wrote above.

\(3500+150(17)=C\)

150 * 17 is 2550, and 3500 + 2550 is 6050, which is C.

Our answer is: C = $6050

The coefficient of variation for A is 20.37% and for B is 15.98%.

What is coefficient of variation?

In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.

We know that formula for coefficient of variation is

CV = Standard Deviation / Mean

A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100

Mean = 411200 / 14

Mean = $29371.42

Similarly,

Standard Deviation = $5984.52

So,

CV = 5984.52 / 29371.42 * 100

CV = 20.37%

B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98

Mean = 43.42 / 11

Mean = $3.94

Similarly,

Standard Deviation = $0.63

So,

CV = 0.63 / 3.94 * 100

CV = 15.98%

Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.

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Answer:

400 litres

Step-by-step explanation:

Answer:

880

Step-by-step explanation:

I hope this answer helps!

Answer:

10

Step-by-step explanation:

Since G = B (and 284 + 76 = 360), then FE = CD

Answer:

9 eggs, 3/4 cup water, 3/4 cups of water

EXPLANATION:so 1/4×3, 3 is 3/1 as a fraction

you just multiply 1/4 and 3/1 first 1×3=3 then 4×1=4 so 3/4

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

63

Step-by-step explanation:

V=length x width x height.

V= 7.5*2*4.2

V=63

Write and simplify an expression for the volume of a rectangular prism with a length of 7.5 ft, width 2 ft, and height 4.2 ft. What is the volume if the width is 2 ft.

Substituting the values given in the formula, We get,

⇒ Volume of rectangular prism = ( 7.5 × 2 × 4.2 ) ft³

⇒ Volume of rectangular prism = 63 ft³

Volume of the rectangular prism is 63 ft³

Please scroll from right to left to see the whole solution.

Answer:

the values of angle;

a=61

b=61

c=29

Answer: All of the angles combined are 180 degrees. Since b and its adjacent angle is 90 degrees, you would subtract 90-29, which gives you 61. b=61. You would then use both angle measures to determine the other two. You would need to find two values that add up to 90 degrees for c and a. Angle b+c would be equal to 90 degrees, and angle a and d (I used d to represent the 29 degree angle) would be equal to 90 degrees, equaling a total of 180 degrees. Angle a would be equal to 61, and angle c would be equal to 29. Hope this helps.

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:&.&/

Step-by-step explanation:82

Answer:

=======================

Equation of circle:

The center is the radius long distance from the x- axis to left and y-axis up same distance, this makes it in the second quadrant.

So the coordinates of the center are:

The equation is:

Answer:

\((x+8)^2+(y-8)^2=64\)

Step-by-step explanation:

Required conditions:

If the circle is tangent to both axes, its center will be the same distance from both axes.  That distance is its radius.

If the center of the circle is in quadrant II, the center will have a negative x-value and a positive y-value → (-x, y).

Therefore, the coordinates of the center will be (0-r, 0+r) where r is the radius.

If the radius is 8 units, then the center is (-8, 8).

\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Substitute the found center and given radius into the formula to create an equation for the circle that satisfies the given conditions:

\(\implies (x-(-8))^2+(y-8)^2=8^2\)

\(\implies (x+8)^2+(y-8)^2=64\)