Matrices C and D are shown below.
What values of a and b will make the equation CD = I true?

Answer:

B

Step-by-step explanation:

OP = OQ

Answer:

B

Step-by-step explanation:

Look at the shape closely observe the following the imaginary lines;

OC = OA , OB = OD {these is the raduis of the circle;

note also line CQ = CD { the perpendicular line bisects line CD in two equal halves;

Similarly ;

note also line AP= PB { the perpendicular line bisects line OP in two equal halves}

Hence;

OP is congruent to the OQ

In maths we say something is congruent when they are the same shape and have same angles but we are allowed to flip it's side.

The square root of 576 is the inverse of the mathematical operation of squaring the number 24. The square root of a number implies a number whose product with itself gives the initial number. Now we will calculate the square root of 576 using various methods and a few interesting facts and problems too.

The square root of 576 can be written as √576 and (576)1/2

The square of 576 will be a number(a) such that a × a = 576

And 24 × 24 = 576 also -24 × -24 = 576

Therefore, +24 and -24 are the square root of 576

The square root of 576 are +24 and -24.

Both numbers are integers and we know that all integers are rational numbers.

Hence, the square root of 576 is a rational number.

The area of rectangular decorative bookmark prepared by Rahul is 8 square inches

Rahul is making a decorative bookmark whose dimensions are 2 inches× 4 inches which clearly states that the decorative bookmark prepared by Rahul  is in the shape of a rectangle whose length is 4 inches and breath is 2 inches

In this question we are told to find out the area of rectangular bookmark So, we have to use the formula of area of rectangle

area of rectangle = length of rectangle × breath of rectangle

                              = 4 inches × 2 inches

                              = 8 inches²

Hence the area of  rectangular decorative bookmark prepared by Rahul is 8 square inches

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Answer:

BODMAS RULE

(c-3)²=100

c²-6c+9=100

c²-6c=100-9

c²-6c=91

c²-6c-91=0

then factories

The correct solution to the expression 3 + 5^2 is C. 28.

Mathematically, an expression is a combination of variables with numbers, values, or constants.

Mathematical or algebraic expressions use the mathematical operands like addition (+), subtraction (-), division (÷), multiplication (×), exponents (^), etc.

An algebraic expression does not go with the equal symbol (=), unlike an equation.

3 + 5^2

= 3 + 5 x 5

= 3 + 25

= 28

Thus, an evaluation of the algebraic expression 3 + 5^2 gives the solution as Option C.

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Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:

\( \boxed{ \bold{{ \boxed{ \sf8 {x}^{7} + 3 {x}^{6} + {x}^{5} + 5 {x}^{4} - 2 {x}^{3} }}}}\)

Step-by-step explanation:

Here, we have to arrange the polynomial from higher power to lower power.

So, Option C is the correct option

Hope I helped!

Best regards! :D

Given:

To select the whole numbers:

As we know,

A whole number is zero and simply any positive number that does not include a fractional or decimal part.

So, the whole numbers are 15, 0, and 17.

Answer:

0.551

Step-by-step explanation:

Let no. of people who take discount = x

Using binomial distribution, N c X. p^x. q^(n-x)

p : customer getting discount = 0.3, q : customer not getting discount = 0.7   n : no. of customers = 8

Probability that x < 3 : Prob (x=0) + Prob (x=1) + Prob (x=2)

= 8 c 0. (0.3)^0 . (0.7)^8 + 8 c 1. (0.3)^1 . (0.7)^7 + 8 c 2. (0.3)^2 . (0.7)^6

0.05764801 +  0.19765032 + 0.29647548

0.551

The zeros of the polynomial function are x = -1 and x = 5

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

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

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The given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\)as we have multiplied 8 in both numerator and denominator.

The given expression is \(g^2/3h\).

Now, to further simplify the expression, we can multiply both numerator and denominator by 8. This gives us:

\((g^2/3h) * (8/8)\)

Simplifying further, we get:

\((8g^2)/(24h)\)

Therefore, the expression equivalent to \(g^2/3h\) is \((8g^2)/(24h)\).

Thus, the given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\) as we have multiplied 8 in both numerator and denominator.

The numerator is the top part of a fraction, which represents the number of equal parts being considered. It is the value that is above the fraction bar and represents the quantity being divided into equal parts.

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The complete question is :

Which expression is equivalent to \(g^2/3h\)?

Click on the correct answer.

(A) \(g^2+5/3h+5\)

(B) \(6g^2/15h\)

(C) \(8g^2/24h\)

Answer:

I don't know what x is, but look below.

Step-by-step explanation:

If x=angle 3, then x=180-102=72

If x=angle 2, then x=102 (Vertical Angles Theorem

Hope I helped!

Answer: It would cost $47.3 to fill the same tank in 2010

Step-by-step explanation:

In 1970

Total cost to fill the tank = $6

Cost per capacity of tank = $0.36

Capacity of tank = Total cost / Cost per capacity of tank

Capacity = 6/0.36

Capacity = 16.6

Therefore

In 2010

Cost per capacity of tank = $2.84

And we now know it capacity = 16.6

Total cost to fill the tank = 2.84 * 16.6

Total cost = $47.3

Hope this helps have a awesome day ❤️✨

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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The breakeven point is 890 units and Molander Corporation's margin of safety is $3,600 in dollars and 14.42% as a percentage of its sales.

To find the breakeven point:

Breakeven Point = Fixed Expenses / Contribution Margin per unit

Contribution Margin per unit = Selling Price per unit - Variable Expense per unit

= $24 - $14

= $10

Breakeven Point = $8,900 / $10

= 890 units

The breakeven point is 890 units.

To calculate the margin of safety:

Margin of Safety = Actual Sales - Breakeven Point

Actual Sales = Unit Sales per month

= 1,040 units

Margin of Safety = 1,040 units - 890 units

= 150 units

Margin of Safety in dollars = Margin of Safety × Selling Price per unit

= 150 units × $24

= $3,600

Margin of Safety as a percentage of sales = (Margin of Safety / Actual Sales) × 100

= (150 units / 1,040 units) * 100

= 14.42% (rounded to 2 decimal places)

Therefore, Molander Corporation's margin of safety is $3,600 in dollars and 14.42% as a percentage of its sales.

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The computation of the future value is $92,691.08

As we know that

Future value = Present value × (1 + interest rate)^number of years

where, the Present value is $24275

The Interest rate is 4.05%

And, the number of the year is 10 years

Now placing these values to the above formula;

So, the future value is;

Future value = Present value × (1 + interest rate)^number of years

= $24275× (1 + 0.0405)^10

= $24275× 1.448298166

= $92,691.08

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We need to find the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.

We know that the probability of randomly selecting someone who believes it is:

Since the set of those who do not believe it is complementary to those who believe it, the probability to randomly selecting somen who does not believe is given by:

Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 47.5%.

Answer:

Your answer is

1/2 <x<8

as per triangular rules

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Answer:

A. 0.0746

Step-by-step explanation:

Because it is in the thousandths place

The equation be 2x² - 3x - 5 then the value of x = -1.

Let a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

Part A: Let f(x) = 0 and solve for x to get the x-intercepts.

Given the function 2x²-3x - 5 = 0

Factor to get (2x - 5) (x + 1) = 0

then 2x - 5 = 0 and x = 2.5x + 1 = 0 and x = -1

These are the x-intercepts.

Part B: As the coefficient of the \($$x^2\) term exists positive, the parabola opens up, and the vertex exists at a minimum. The coordinates of the parabola exist given by -b/2a, f( -b/2a)

where a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

In this case a = 2, b = -3 and c = -5.

So -b/2a = 3 / 4

f(-b/2a) = \(2 * (3/4)^2 -3 * (3/4) - 5\) = -6.125.

The coordinates of the vertex exist (3/4, -6.125)

Part C: I will give them a minimum from completing the square

y = \($$2(x - 0.75)^2\) - 6.125

as x approaches + ∞, y approaches + ∞.

as x approaches - ∞, y approaches + ∞.

It's a quadratic.

The y values go to + ∞ when x goes from - ∞ to + ∞.

Part D: The graph is as follows:

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Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

Answer:

2c +24

Step-by-step explanation:

c *2=Chrissy age+24

Answer:

1/6

Step-by-step explanation:

A (6,1)

B (12,2)

slope = (2-1)/(12-6)

1/6

Her total cost after purchasing 12x packs of Vanilla Coke is given by the following linear function:

y = 2 + 7x.

A linear function is modeled according to the following rule:

y = mx + b

In which:

For this problem, we have that:

Hence her total cost after purchasing 12x packs of Vanilla Coke is given by the following linear function:

y = 2 + 7x.

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We have that  The slope of this line is

m=3

Option C

From the question we are told

The data in this table represents a linear function.

What is the slope of this line?  

x y

2 7

5 16

7 22

9 28

Generally the equation for the Slope  is mathematically given as

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Therefore

\(m=\frac{16-7}{5-2}\\\\m=3\)

Therefore

The slope of this line is

m=3

Option C

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The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

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Answer:

i got 97.6 but i might be wrong

Step-by-step explanation:

5x+12=500

minus 12 with 500 and then u divide the answer by 5x

Robert will earn $300.00 in interest at the end of the five years.

To calculate the interest earned at the end of five years, we can use the formula for simple interest:

Interest = Principal × Rate × Time

Given:

Principal (P) = $500.00

Rate (R) = 12% (or 0.12 as a decimal)

Time (T) = 5 years

Plugging in the values into the formula:

Interest = $500.00 × 0.12 × 5

Calculating the expression:

Interest = $500.00 × 0.6

Interest = $300.00

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