sanjay purchased 4 3/4 kg pulses and 5 1/2 kg sugar. what is the total weight of material purchased by him?

Answer:

-5x+18/x+2

Step-by-step explanation:

I'm pretty sure it's the answer

Answer:

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

Answer:

3680

Step-by-step explanation:

0.001 = 1 / 1000

3.68 / 0.001

= ( 3.68 ) / ( 1 / 1000 )

= ( 3.68 x 1000 ) / 1

= 3680

Answer:

$100,300

Step-by-step explanation:

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

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Answer:

1

Step-by-step explanation:

To find slope, m, we use the formula

\(m = \frac{y2 - y1}{x2 - x1} \)

The top Y on the table is 7 and the bottom one is -1, so we'll plug those into the top.

The top X on the table is 6 and the bottom one is -2, so we'll plug those into the bottom

\(m = \frac{7 - ( - 1)}{6 - ( - 2)} \)

\(m = \frac{8}{8} = 1\)

(1) One of the six countries sent 41 representatives to the congress --> obviously x6=41x6=41 --> x1+x2+x3+x4+A=34x1+x2+x3+x4+A=34.

Given: x1<x2<x3<x4<A<x6x1<x2<x3<x4<A<x6 and x1+x2+x3+x4+A+x6=75x1+x2+x3+x4+A+x6=75. Q: is A≥10A≥10

Can A≥10A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11 --> sum=34sum=34 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9 --> sum=34sum=34 (answer to the question NO).

(2) Country A sent fewer than 12 representatives to the congress --> A<12A<12.

The same breakdown works here as well:

Can 12>A≥1012>A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11, x6=41x6=41 --> sum=75sum=75 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9, x6=41x6=41 --> sum=75sum=75 (answer to the question NO).

(1)+(2) The given examples fit in both statements and A in one is more than 10 and in another less than 10. Not sufficient.

Hi,

Answer:

48 cm

Step-by-step explanation:

14 + x = 62

62 - 14 = 48

x = 48 cm

Have a good one!

Using the long division method, it is proved that (x + 2) is a factor of (x³ + 8), because the result of the remainder is 0.

To show that (x + 2) is a factor of (x³ + 8) using long division, we can divide (x³ + 8) by (x + 2) and see if the remainder is 0. If the remainder is 0, then (x + 2) is a factor of (x³ + 8). Here's how the long division would look:

        x² - 2x + 4

x+2 | x³ + 0x² + 0x + 8

      - (x³ + 2x²)

    --------------------

         -2x² + 0x + 8

       - (-2x² - 4x)

         ---------------

              4x + 8

            - (4x + 8)

              --------

                 0

Since the remainder is 0, we can conclude that (x + 2) is a factor of (x³ + 8).

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Answer:

The correct option is;

(3) ∠ADB and ∠BDC

Step-by-step explanation:

From the division axiom, we have;

(a+a)/a = 2·a/a = 2

The given parameters are;

m∠ADC = m∠ABC

\(\overline {BD}\) bisects ∠ADC and ∠ABC

Therefore;

∠ADB ≅ ∠BDC

∠ABD ≅ ∠CBD

Therefore;

∠ADB/∠CBD = ∠BDC/∠ABD

Given that m∠ADC = m∠ABC and ∠CBD = 1/2 × m∠ABC = 1/2 × m∠ADC = ∠ABD, we are allowed to say, ∠ADB and ∠BDC are equal.

Answer:

A. 11.18

Step-by-step explanation:

(1, -2) will be x1 and y1.

(-9, 3) will be x2 and y2

The formula is

Distance = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Substitute in all the variables.

\(\sqrt{(-9-1)^2+(3-(-2))^2}\)

Solve.

\(\sqrt{(-10)^2+5^2}\)

\(\sqrt{100+25}\)

\(5\sqrt{5}\)

11.18033988.....

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

−20d+1500

Step-by-step explanation:

I did it on khan and it was right

The consumption next year for Ms. Anderson will be approximately $56,363.64 which is not in options, and the debt-equity ratio, based on a total debt ratio of 0.5, so the answer is option d.

To answer the first question, we need to calculate the consumption next year based on the given information. We can use the concept of present value to determine the amount.

The present value formula is:

Present Value = Future Value / (1 + Interest Rate)^n

Where:

Future Value is the amount to be received in the future

Interest Rate is the rate of return or interest rate per period

n is the number of periods

Given that Ms. Anderson has an income of $40,000 next year and the market interest rate is 10 percent, we can calculate the present value of $40,000:

Present Value = $40,000 / (1 + 0.10)^1

Present Value = $40,000 / 1.10

Present Value ≈ $36,363.64

Since Ms. Anderson consumes $80,000 this year and her present income next year is approximately $36,363.64, her consumption next year will be the sum of her present income and the remaining amount:

Consumption next year = Present income + Remaining amount

Consumption next year = $36,363.64 + ($80,000 - $60,000)

Consumption next year = $36,363.64 + $20,000

Consumption next year = $56,363.64

Therefore, the consumption next year will be approximately $56,363.64. None of the provided options match this amount, so it seems there might be an error in the answer choices.

Given that the total debt ratio is 0.5, it implies that the total debt is half of the total equity.

The debt-equity ratio is calculated by dividing the total debt by the total equity:

Debt-Equity Ratio = Total Debt / Total Equity

Substituting the given information, we have:

Debt-Equity Ratio = 0.5 * Total Equity / Total Equity

The term "Total Equity" cancels out, resulting in:

Debt-Equity Ratio = 0.5

Therefore, the correct answer is option d. 0.5.

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Answer:

ln(x)

Step-by-step explanation:

ln(x) can be rewritten as e^ln(x)=x. so if e^ln(1)=1 the exponent is just 0. because anything to the power of 0 is 1 according to the Zero Exponent Rule

Answer:

0> is greater than -5

Step-by-step explanation:

Answer:

-5 < 0

Step-by-step explanation:

hope this helps :P Hav a gud day :3

Answer:

6

Step-by-step explanation:

6 x 6 = 36

Answer:

B. 0.03110

Step-by-step explanation:

Given

Probability of Hit = 60%

Required

Determine the probability that he misses at 6th throw

Represent Probability of Hit with P

\(P = 60\%\)

Convert to decimal

\(P = 0,6\)

Next; Determine the Probability of Miss (q)

Opposite probabilities add up to 1;

So,

\(p + q = 1\)

\(q = 1 - p\)

Substitute 0.6 for p

\(q = 1 - 0.6\)

\(q = 0.4\)

Next,is to determine the required probability;

Since, he's expected to miss the 6th throw, the probability is:

\(Probability = p^5 * q\)

\(Probability = 0.6^5 * 0.4\)

\(Probability = 0.031104\)

Hence;

Option B answers the question

Answer:

b) 0.03110

Step-by-step explanation:

Got it right on the test.

Answer:

√5, 2, −13/5,−2, −9/4

Step-by-step explanation:

You basically just Calculate all of the numbers and order them from greatest to least, that's it.

(14,2)!

:D ive took this test before i think, lol

Answer:

The answer is 5,9

Step-by-step explanation:

I took the test, this should be right

Answer:

equation 1 > a:b=2:5 > a=2b/5

equation 2 > a+24 : b = 16 : 10 > substitute a from eq1

(2b/5 + 24)/b = 16/10 > if we cross multiply this

4b + 240 = 16b

240 = 12b

b = 20

from eq1 a=2b/5

a=(2×20)/5

a=8

if Andy bought 24 biscuits it means he has 32 biscuits

since Betty has 20 she needs 12 more biscuits, which means 2 packs.

hence answer is 2 packs of biscuits

In a supermartingale , the current variable (\(X_{t}\)) is an overestimate for the upcoming \(X_{t + 1}\).

A sequence of random variable (\(X_{t}\)) adapted to a filtration (\(F_{t}\)) is a martingale (with respect to (\(F_{t}\))) if  all the following holds for all t :

(i)   E|\(X_{t\)| < ∞

(ii) E[ \(X_{t + 1}\)|\(F_{t}\)] = \(X_{t}\)

If instead of condition (ii) we have E [\(X_{t + 1}\)|\(F_{t}\)]  ≥ \(X_{t}\) for all t , we then say that (\(X_{t}\))  is submartingale with respect to (\(F_{t}\)).

If instead of condition (ii) we have E [ \(X_{t + 1}\) | \(F_{t}\)] ≤\(X_{t}\) for all t , we then say that (\(X_{t}\)) is supermartingale with respect to (\(F_{t}\)).

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Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{BC}\) = \(\frac{AB}{12}\) ( multiply both sides by 12 )

12 × cos62° = AB , thus

AB ≈ 5.6 cm ( to 1 dec. place )

Answer:

3rd option, you are correct

Step-by-step explanation:

A tangent is a straight line with only 1 point of contact to the circle.

This is the case at points R and Z

Answer:

3rd option just to reassure everyone

The solution to the homogeneous system of linear equations is:

x₁ = -95/22 x₃

x₂ = 39/11 x₃

x₃ = x₃ (parameter)

To solve the homogeneous system of linear equations:

2x₁ + 4x₂ - 11x₃ = 0

x₁ - 3x₂ + 17x₃ = 0

We can represent the system in matrix form as AX = 0, where A is the coefficient matrix and X is the column vector of variables:

A = [2 4 -11; 1 -3 17]

X = [x₁; x₂; x₃]

To find the solutions, we need to row reduce the augmented matrix [A | 0] using Gaussian elimination:

Step 1: Perform elementary row operations to simplify the matrix:

R₂ = R₂ - 2R₁

The simplified matrix becomes:

[2 4 -11 | 0; 0 -11 39 | 0]

Step 2: Divide R₂ by -11 to get a leading coefficient of 1:

R₂ = R₂ / -11

The matrix becomes:

[2 4 -11 | 0; 0 1 -39/11 | 0]

Step 3: Perform elementary row operations to eliminate the coefficient in the first column of the first row:

R₁ = R₁ - 2R₂

The matrix becomes:

[2 2 17/11 | 0; 0 1 -39/11 | 0]

Step 4: Divide R₁ by 2 to get a leading coefficient of 1:

R₁ = R₁ / 2

The matrix becomes:

[1 1 17/22 | 0; 0 1 -39/11 | 0]

Step 5: Perform elementary row operations to eliminate the coefficient in the second column of the first row:

R₁ = R₁ - R₂

The matrix becomes:

[1 0 17/22 + 39/11 | 0; 0 1 -39/11 | 0]

[1 0 17/22 + 78/22 | 0; 0 1 -39/11 | 0]

[1 0 95/22 | 0; 0 1 -39/11 | 0]

Now we have the row-echelon form of the matrix. The variables x₁ and x₂ are leading variables, while x₃ is a free variable. We can express the solutions in terms of x₃:

x₁ = -95/22 x₃

x₂ = 39/11 x₃

x₃ = x₃ (parameter)

So, the solution to the homogeneous system of linear equations is:

x₁ = -95/22 x₃

x₂ = 39/11 x₃

x₃ = x₃ (parameter)

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Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Answer:

Step-by-step explanation:

i think its The measure of bottom of ladder from bottom of building is 48

Answer:

48

Step-by-step explanation:

Hope it helps XD