Identify the values of a, b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive
integer value.
x²=8(x-5)

To calculate the volume of this prism, we could just find the area of the surface of the triangle, and multiply by the lenght.

The area of the triangle is given by the product of height by the base, divided by 2:

Since we have the following data:

height = 8.7m

base of the triangle = 10m

lenght = 19m

The area of the base of this prism is:

Multiplying it by the lenght we get the volume of the prism:

Now, to calculate the area of the surface, we can calculate the area of each face then add them up. We already calculate the area of the triangular bases, we just need to calculate the area of the rectangular faces.

The rectangular face area is given as the product of the lenght by the side of the base, then the area of the rectangular face is:

Since we have 3 rectangular faces and two triagular basis, the surface area is given by:

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

Answer:

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Both the Addition property of equality and additive inverse property

If a 4-yard dumpster cost $95.00 monthly, the total cost for the year is $1,140.

The total cost for the year of the dumpster is the product of the multiplication of the monthly cost and 12.

Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.

In any multiplication, there must be the multiplicand (the number being multiplied), the multiplier (the number multiplying the multiplicand), and the product (or the result).

The monthly cost of the 4-yard dumpster = $95.00

1 year = 12 months

The total annual cost = $1,140 ($95 x 12)

Thus, using the multiplication operation, we can find that none of the options is correct as the total annual cost but $1,140.

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Answer:

3/4

Step-by-step explanation:

3*(1/4)=3/4

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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In the given Quadrilateral, The measure of ∠x=110°.

what are quadrilaterals?

Quadrilaterals are four-sided polygons. They are two-dimensional shapes with four straight sides, four vertices, and four angles which have sum of 360°. Quadrilaterals can have parallel sides, opposite sides that are congruent, opposite angles that are congruent, and diagonals that bisect each other. Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.

Now,

For given Quadrilateral

three angles given are 128°, 82° and 40° and 4th angle=x°.

To find x

As we know

Sum of all interior angles of a quadrilateral=360°

128°+82° +40° +x°=360°

x=360-250

x=110°

hence,

          the measure of ∠x=110°.

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The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Answer: i think this is romanian? so here is the answer in romanian

Pur și simplu, cel mai mare factor comun al lui a și b atunci când este înmulțit cu cel mai mic comun al lui a și b este egal cu produsul lui a și b ....

Puteți determina LCM de 12 și 16 folosind două metode

Step-by-step explanation:

The total sales required to earn the desired income of $2800 is calculated to be $6,375.

Sale is a business transaction involving the exchange of goods or services for money. It can refer to the act of selling, or the thing that is sold. Sales are typically the main source of revenue for businesses. The process of selling involves finding potential customers, negotiating a price, and delivering the product or service. The ultimate goal is to make a profit.

In order to earn a monthly income of $2800, a local salesman would need to sell $6,375 worth of goods in a month. This is calculated by subtracting the base salary of $875 from the desired income of $2800, which leaves $2,925. Then, 6% of $1450 is $87, so the remaining $2,838 must be made up of 6% of the sales above $1450. By dividing this amount by 6%, the total sales required to earn the desired income of $2800 is calculated to be $6,375.

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The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

In the given question,

We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.

Since we have to find the image after a dilation.

So we learn about it now,

Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.

So the given point is (-9,12).

Scale factor is 1/3.

So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as

=(-9×1/3,12×1/3)

Simplifying

=(-3,4)

Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

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Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Let's call the number of words Trei spelled correctly "x". Then, the number of words she spelled incorrectly is 100 - 60 = 40 words.

Therefore, the ratio of correctly spelled words to incorrectly spelled words is x to 40.

To find the number of words she spelled correctly for each word she spelled wrong, we can simplify the ratio by dividing both values by the greatest common factor:

x / 40 = x / (2 * 20) = x / 2 * 20 / 2 = x / 20.

So for every word Trei spelled incorrectly, she spelled 20 / 1 = 20 words correctly.

Given:

The graph of a function.

To find:

The range of the function.

Solution:

Range is the set of y-values or output values.

From the given graph it is clear that,

\(f(x)\to -\infty\text{ as }x\to -\infty\)

\(f(x)\to \infty\text{ as }x\to \infty\)

And the value function can be any real number. So,

Range = \(-\infty<y<\infty\)

Range = \((-\infty, \infty)\)

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

D. y is all real numbers.​

Step-by-step explanation:

Range is the set of y-values or output values.

From the given graph it is clear that,

And the value function can be any real number. So,

Range =

Range =

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

Step-by-step explanation:

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

-20

Step-by-step explanation:

36 ÷ [-3] + [-4] × 3 − [-4]

In order to calculate this expression, all we have to do is following the order of operations:

Since division and multiplication comes before addition and subtraction

Then

36 ÷ [-3] + [-4] × 3 − [-4]

= (36 ÷ [-3]) + ([-4] × 3) − [-4]

= (-12) + (-12) − [-4]

= ((-12) + (-12)) − [-4]

= (-12 − 12) − [-4]       (Recall :  + (-a) = - a )

= - (12 + 12) − [-4]

= - (24) − [-4]

= - (24) + 4       (Recall :  - (-a) = a )

= - (24 - 4)     (Recall :  -a + b = - (a - b) )

= - (20)

= -20

The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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Answer:AAS

Step-by-step explanation:

Answer:

7/11 = 0.6363...

Step-by-step explanation:

7 + 4 = 11

probability of winning: 7/11 = 0.6363...

The probability that the horse will in the race is \(\mathbf{\dfrac{7}{11}}\)

Given that the odds  of the horse winning the race is 7:4

Assuming the ratio is in form of a:b, the probability of winning the race can be computed as:

\(\mathbf{P(A) = \dfrac{a}{a+b}}\)

From the given question;

The probability of the horse winning the race is:

\(\mathbf{P(A) = \dfrac{7}{7+4}}\)

\(\mathbf{P(A) = \dfrac{7}{11}}\)

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Answer:

Step-by-step explanation:

REcall that given a set A, * is a equivalence relation over A if

- for a in A, then a*a.

- for a,b in A. If a*b, then b*a.

- for a,b,c in A. If a*b and b*c then a*c.

Consider A the set of all ordered pairs of positive integers.

- Let (a,b) in A. Then a+b = a+b. So, by definition (a,b)R(a,b).

- Let (a,b), (c,d) in A and suppose that (a,b)R(c,d) . Then, by definition a+d = b+c. Since the + is commutative over the integers, this implies that d+a = c+b. Then (c,d)R(a,b).

- Let (a,b),(c,d), (e,f) in A and suppose that (a,b)R(c,d) and (c,d)R(e,f). Then

a+d = b+c, c+f = d+e.  We have that f = d+e-c. So a+f = a+d+e-c. From the first equation we find that a+d-c = b. Then a+f = b+e. So, by definition (a,b)R(e,f).

So R is an equivalence relation.

[(a,b)] is the equivalence class of (a,b). This is by definition, finding all the elements of A that are equivalente to (a,b).

Let us find all the possible elements of A that are equivalent to (2,4). Let (a,b)R(2,4) Then a+4 = b+2. This implies that a+2 = b. So all the elements of the form (a,a+2) are part of this class.

The required number of ways that a debit card pin can be set is 4500.

As given as, James opens a bank account. After receiving his debit card, it needs to determine four digits PINs. If he prefers not to use odd numbers on the first digits and 0 on the last digit, how many different ways to determine the debit card pin is to be determined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
The number of ways to fill 1st number is 5C1,
The number of ways to fill 2nd number is 10C1,
The number of ways to fill 3rd number is 10C1,
The number of ways to fill 4th number is 9C1,

The number of ways to fill the 4-digit pin = ⁵C₁ × ¹⁰C₁ × ¹⁰C₁ × ⁹C₁
                                                                   = 5 × 10 × 10 × 9 = 4500

Thus, The required number of ways to set a debit card pin is 4500.

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Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

To find the total units of water collected for day 3, we can simply add up the units of water collected on each day, starting with the 1 unit of water we already have:

Day 1: 1 unit of water

Day 2: 1 unit of water

Day 3: 1 unit of water

1. Total units of water collected for day 3 = 1 + 1 + 1 = 3 units of water

2. Since we only need to consume 1 unit of water per day to survive, we would have consumed a total of 3 units of water in 3 days.

3. To find the amount of water leftover, we can subtract the units of water consumed from the total units of water collected:

Total units of water collected = 3 units

Units of water consumed = 3 units

Water leftover = Total units of water collected - Units of water consumed

= 3 - 3

= 0 units of water leftover

4. We could collect water in a number of ways, depending on what resources were available on the island. We could collect rainwater using containers, or we could find a freshwater stream or well and collect water from there. We could also try to collect dew or moisture using a cloth or other absorbent material.

5. The tools we would use to collect water would depend on the method we chose. For example, if we were collecting rainwater, we would need containers to catch the water, such as buckets or barrels. If we were collecting water from a stream or well, we would need a way to transport the water back to our shelter, such as a jug or canteen. If we were collecting moisture, we would need a cloth or other absorbent material to collect the water.