please help I will report if wrong... Brainlyest for the first right answer

A family consumes 1.2kg of rice a day

If the family have 30ky of rice

Let the number of days be x

The minimum number of days required for the amount of rice remaining not to be more than 6kg can be expressed below as

Solve for x by collecting like terms

Hence, the minimum number of days required for the amount of rice remaining not to be more than 6kg is 20 days

The triangle of given dimensions is isosceles and acute triangle.

Triangle is a shape with three sides and hence three angles. We know that triangles are classified according to the sides and angles. Based on angles, the classification of triangle is acute, obtuse and right triangle.

Based on sides, the classification of triangle is equilateral, isosceles and scalene triangle. Now, if the dimensions will form a triangle or not can be estimated through the formula -

side 1 + side 2> side 3

We see that 17 + 17 > 12

34 > 12

Thus, the triangle will form.

Moreover the two sides are equal hence it will be isosceles triangle. Since two sides are equal thus two angles will also be equal.

Now, if we square the sides and find their sum, it will be greater than square of third side. Hence, it is acute triangle.

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(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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Answer:

36 feet

Step-by-step explanation:

36 ft is the answer because that was an carpet of outdoor

The simplified form of the given expression is \(\frac{4q^2+7q-15}{4q^2-13q-12}\div\frac{q^2-9}{16q^2+12q}=\frac{4q(4q-5)}{(q-3)(q-4)}\)

In the given question we have to divide and simplify the given expression.

The given exression is \(\frac{4q^2+7q-15}{4q^2-13q-12}\div\frac{q^2-9}{16q^2+12q}\).

As we know that when we change division sign into multiplication the fraction after the division change their position.

So the expression should be

\(\frac{4q^2+7q-15}{4q^2-13q-12}\div\frac{q^2-9}{16q^2+12q}=\frac{4q^2+7q-15}{4q^2-13q-12}\times\frac{16q^2+12q}{q^2-9}\)...............(1)

Before simplifying the expression we firstly find the factor of each term seprately.

Firstly find the factor of \(4q^2+7q-15\).

The multiplication of first and third variable is 60 so the possible factors are 12 and 5. So

\(4q^2+7q-15=4q^2+(12-5)q-15\)

\(4q^2+7q-15=4q^2+12q-5q-15\)

\(4q^2+7q-15\) = 4q(q+3)-5(q+3)

\(4q^2+7q-15\) = (4q-5)(q+3)

Now finding the value of \(4q^2-13q-12\).

The multiplication of first and third term is 48, so the possible factors are 16 and 3.

\(4q^2-13q-12=4q^2-(16-3)q-12\)

\(4q^2-13q-12=4q^2-16q+3q-12\)

\(4q^2-13q-12\) = 4q(q-4)+3(q-4)

\(4q^2-13q-12\) = (4q+3)(q-4)

Now finding the factor of \(q^2-9\).

Using the formula \(a^2-b^2=(a+b)(a-b)\)

\(q^2-9=(q)^2-(3)^2\)

\(q^2-9\) = (q-3)(q+3)

Now finding the factor of \(16q^2+12q\).

\(16q^2+12q\) = 4q(4q+3)

Putting the value of factors in equation 1

\(\frac{4q^2+7q-15}{4q^2-13q-12}\div\frac{q^2-9}{16q^2+12q}=\frac{(4q-5)(q+3)}{ (4q+3)(q-4)}\times\frac{4q(4q+3)}{(q-3)(q+3)}\)

Simplifying

\(\frac{4q^2+7q-15}{4q^2-13q-12}\div\frac{q^2-9}{16q^2+12q}=\frac{(4q-5)}{ (q-4)}\times\frac{4q}{(q-3)}\)

Hence, the simplified form of the given expression is

\(\frac{4q^2+7q-15}{4q^2-13q-12}\div\frac{q^2-9}{16q^2+12q}=\frac{4q(4q-5)}{(q-3)(q-4)}\)

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Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

The Circle Sector Area correct answer is: O n(30in)2

To calculate the area of the sector in the circle, you would typically use the formula:

Area = (θ/360) * π *\(r^2\)

where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

From the options you provided, the correct choice would be:

O n(30in)2

This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)

Therefore, the Circle Sector Area correct answer is: O n(30in)2

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Answer:

Please make your answer more precise-- If you can message me below and rewrite your question I maybe able to edit and answer your questions.

Algebraic expression:

½x ≥ 33

Step-by-step explanation:

Half = ½

greater than or equal to = ≥

\( \frac{1}{2} x \geqslant 33 \\ Cross \: multiply \\ x \geqslant 33 \times 2 \\x \geqslant 66 \)

Answer:

2e14

Step-by-step explanation:

Just use the calculator and that is what i got

The completed sequence would then be: 2, 4, 7, 9, 16, 19, 29.

To complete the given number sequence, let's analyze the pattern and identify the missing terms.

Looking at the given sequence 2, 4, 7, __, 16, __, 29, __, we can observe the following pattern:

The difference between consecutive terms in the sequence is increasing by 1. In other words, the sequence is formed by adding 2 to the previous term, then adding 3, then adding 4, and so on.

Using this pattern, we can determine the missing terms as follows:

To obtain the third term, we add 2 to the second term:

7 + 2 = 9

To find the fifth term, we add 3 to the fourth term:

16 + 3 = 19

To determine the seventh term, we add 4 to the sixth term:

__ + 4 = 23

Therefore, the missing terms in the sequence are 9, 19, and 23.

By identifying the pattern of increasing differences, we can extend the sequence and fill in the missing terms accordingly.

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The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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Answer:

(-2.5, 2)

Step-by-step explanation:

just find where the points meet up lol

Answer:

-3 and 4

Step-by-step explanation:

We can start naming the first number x

Hence, the second number would be 10+2x

Set up an equation.

10+2x+x=1

Combine like terms

10+3x=1

Subtract 10 from both sides

3x=-9

Divide both sides by 3.

x=-3

The first number is he first is -3.

Plug that into the expression for the second number.

10+2x

10+2(-3)

10-6

4

The two numbers are -3 and 4.

Answer:

576 cm^2

Step-by-step explanation:

16^2 + 2 x 16 x 10

  256 + 32 x 10

    256 + 320

       = 576

The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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The first step in evaluating the expression 3x{9-(4+2)/2 is to simplify the innermost parentheses. By performing operations within parentheses first, we can simplify the expression and make it easier to evaluate.

To begin, we evaluate the expression within the parentheses (4+2), which equals 6. Thus, the original expression becomes 3x{9-6/2}.

The next step is to simplify the division operation. We divide 6 by 2, resulting in 3. Now the expression becomes 3x{9-3}.

The subsequent step is to simplify the subtraction operation. We subtract 3 from 9, giving us 6. The expression now becomes 3x6.

Finally, we multiply 3 by 6, yielding a final result of 18. Therefore, the evaluation of the expression 3x{9-(4+2)/2 is equal to 18.

By simplifying the parentheses, performing the division, and evaluating the subtraction, we systematically reduce the expression to its simplest form. Following the order of operations (also known as PEMDAS or BODMAS), which prioritizes parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right), ensures an accurate evaluation of the expression.

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The minimum height of the second beaker must be approximately 13.5 inches to hold the solution without overflowing.

Now, For the minimum height of the second beaker, we need to find its volume first.

The volume of the first beaker is given by;

⇒ V₁ = πr₁²h₁

where r₁ is the radius and h₁ is the height.

Substituting the given values, we get:

V₁ = π(1.8)²(4.6)

V₁ ≈ 66.85 cubic inches

Since, the first beaker is filled to the top, its volume equals the volume of the solution.

Therefore, the volume of the solution is also 66.85 cubic inches.

To find the minimum height of the second beaker, we need to use the formula for the volume of a cylinder:

V₂ = πr₂²h₂

where r₂ is the radius and h₂ is the height of the second beaker.

We want to find h₂ such that V₂ is equal to 66.85 cubic inches.

Dividing both sides of the equation by πr₂², we get:

h₂ = V₂ / (πr₂²)

Substituting the given value for r₂, we get:

h₂ = 66.85 / (π(1.25)²)

h₂ ≈ 13.5 inches

Therefore, the minimum height of the second beaker must be approximately 13.5 inches to hold the solution without overflowing.

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if you meant to put a link there is none

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

D

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Answer: x = 6

Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.

Next, you should combine your like terms. So, -14.76 = -88.56.

Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./

Lastly, calculate. Determine the sign for multiplication or division, so x = 88.56 / 14.76. Multiply both the numerator and denominator with the same integer. So, x = 8856 / 1476. Cross out the common factor, then you get your answer of x = 6

If f(x) = |x|, an equation that describes the graphed function is: D. y = -f(x) + 3.

In Mathematics, the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate of the pre-image or function.

In Mathematics, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

Since the parent function is an absolute value function, its image would be translated upward by 3 units with a negative sign before the parent function as follows;

g(x) = f(x) + N

g(x) = -f(x) + 3

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The value of side TS is,

⇒ TS = 28

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Additionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK

LY = HJ,

so, LY = 14

And, 42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

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Answer:

False

Step-by-step explanation:

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

West University:

15 out of 100, so:

\(p_W = \frac{15}{100} = 0.15\)

\(s_W = \sqrt{\frac{0.15*0.85}{100}} = 0.0357\)

East University:

12 out of 100, so:

\(p_E = \frac{12}{100} = 0.12\)

\(s_E = \sqrt{\frac{0.12*0.88}{100}} = 0.0325\)

Test the difference in driving abilities at the two universities:

At the null hypothesis we test if there is no difference, that is, the subtraction of the proportions is 0, so:

\(H_0: p_W - p_E = 0\)

At the alternative hypothesis, we test if there is a difference, that is, if the subtraction of the proportions is different of 0. So

\(H_1: p_W - p_E \neq 0\)

The test statistic is:

\(z = \frac{X - \mu}{s}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

From the two samples:

\(X = p_W - p_E = 0.15 - 0.12 = 0.03\)

\(s = \sqrt{s_W^2+s_E^2} = \sqrt{0.0357^2+0.0325^2} = 0.0483\)

Value of the test statistic:

\(z = \frac{X - \mu}{s}\)

\(z = \frac{0.03 - 0}{0.0483}\)

\(z = 0.62\)

P-value of the test and decision:

The p-value of the test is the probability that the proportions differ by at least 0.03, which is P(|z| > 0.62), that is, 2 multiplied by the p-value of z = -0.62.

Looking at the z-table, z = -0.62 has a p-value of 0.2676.

2*0.2676 = 0.5352.

The p-value of the test is 0.5352 > 0.05, which means that the difference in driving is not statistically significant at the .05 significance level, and thus the answer is False.

We can express the area (A) of a trapezoid as the product of the average between the bases (a and b) and the height (h).

Then, we can write:

We then, can express the height as:

Replacing with the known values (a=119 cm, b=65 cm, A=6578 cm^2), we get:

Answer: the height of the trapezoid is 71.5 cm.

Answer: 18

-3m + 3(m + 6)

= -3m + 3m + 18

= 18

Step-by-step explanation:

The fraction of the entire space jenny use for pink roses is 1/8 of the whole garden

A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.

These word problem are translated into mathematical equations.

Represent the total garden by x

Jenny uses 1/2 of the garden to plant roses

= 1/2×x = x/2

She uses 1/4 of the space to plant pink roses

= 1/4 × ×/2

= x/8

Therefore she uses 1/8 of the whole garden to plant pink roses.

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Answer:god is good

Step-by-step explanation:if u put this 1 stars u hate god

if u give 5 stars u love god