HELP NEEDED!

Write down an algebraic expression for each of the following statements.

A. Subtract the cube root of the product of x and 3y from the square of the sum of a and b.

B. The total value of x 20-cent coins and y 5-dollar notes in cents.

Answer:

565.9

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Using the table of 150 students, we can configure probabilities.

18 students participate in tennis, so the probability of a student participating in tennis is 18/150, or 3/25 simplified.

45 students participate in football, so the probability of a student participating in football is 45/150, or 3/10 simplified.

12 students participate in gymnastics, so the probability of a student participating in gymnastics is 12/150, or 2/25 simplified.

9 students participate in volleyball, so the probability of a student participating in volleyball is 9/150, or 3/50 simplified.

The area of the regular octogon is 196.15 square inches.

For a regular octogon with apothem A and side length L, the area is given by:

area =(2*A*L) * (1 + √2)

Here we know that:

A = 7in

L = 5.8 in

Replacing these values in the area for the formula, we will get the area:

area = (2*7in*5.8in) * (1 + √2)

area = 196.15 in²

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From the question, the sum of each of the geometric sequence are;

1)  31 3/4

2) 340

3) 11/16

4) -6, 12, -24

We have that;

Sn = a(1 -\(r^n\))/1 - r

Sn = 16(1 \(- (1/2)^7\))1 - 1/2

Sn = 16(1 - 1/128)/1/2

Sn = 16(127/128) * 2

Sn = 31 3/4

2) Un = a\(r^n\) -1

256 = \(4(4)^n-1\)

64 =\(4^n-1\)

\(4^3 = 4^n-1\)

n = 4

Sn= \(4(4^4 - 1)\)/4 - 1

Sn = 340

3) Since we have a5 then n = 5

Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)

Sn = 33/32 * 2/3

= 11/16

4) 30= a(1 -\((-2)^4\))/1 - (-2)

30 = a(-15)/3

30 = -5a

a = 30/-5

a = -6

Then the first three terms are;

-6, 12, -24

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Answer:you need to charge your ipad or phone

Step-by-step explanation:

Answer: Line D

Step-by-step explanation:

The points in the scatterplot are closest to line D.

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Answer:

Step-by-step explanation:

We will use the formula 4(x), where x is the number of terms.

In this question, it says to find the 67th term. Let's substitute 67 into the formula to obtain our answer.

Hence, the 67th term in the sequence is 268.

Hoped this helped.

\(BrainiacUser1357\)

Given sequence = 4,8,12,16...., (t1,t2,t3,t4,......)

first term(a) = 4

Common difference(d) = t2-t1 = 8-4 = 4

nth term of arhmetic sequence is given by,

tn = a+(n-1)d

To calculate the 67th term(t67) of sequence substitute n = 67,a = 4,d = 4 in above formula,

t67= 4+ (67-1)×(4)

t67 = 4+ 66×4

t67 = 4+264

t67 = 268

The 67th term of sequence is 268

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The magnitude of a vector with components (x, y, z) is |m| = sqrt(x^2 + y^2 + z^2).

To find the magnitude of a vector, you'll need to use the formula:

|m| = sqrt(x^2 + y^2 + z^2)

where x, y, and z are the components of the vector in three-dimensional space.

For exvector ample, if you have a vector v = (3, 4, 5), then the magnitude of v would be:

|m| = sqrt(3^2 + 4^2 + 5^2)

= sqrt(9 + 16 + 25)

= sqrt(50)

= 5sqrt(2)

So the magnitude of vector v is 5sqrt(2), which is in simplified form.

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Answer:

(-2^2)^-6 / (2^-5)^-4  --->  2^-32

(2^2)^2  x  (2^3)^-3   --->  2^-5

2^4  x  (2^2)^-2  --->  1

(-2^-4)^-2  x  (2^2)^0  --->  2^8

Answer:c

Step-by-step explanation:

I took the test

Answer:First you divide the larger number into its separate parts. Here, 23 becomes 20 and 3.

Next, you multiply each separate part — 20 x 7 and 3 x 7.

Finally, you add all the products together. 140 + 21 equals 161, the product of 23 x 7.

Step-by-step explanation:

When the null hypothesis is true as an equality, the probability of committing a type I error is denoted by α and it is equal to the significance level.

A null hypothesis is a type of hypothesis used in statistics that proposes that no statistical significance exists in a series of given observations. The null hypothesis is a hypothesis that implies that no statistical significance exists in a set of given observations. It is the default assumption in which one begins. In null hypothesis testing, the null hypothesis is typically the statement that there is no difference between two measured phenomena.Type I errorWhen the null hypothesis is correct and we reject it, a Type I error occurs. A type I error, also known as a false positive, occurs when the null hypothesis is rejected when it is true. In other words, the null hypothesis (H0) is correct, but we reject it. A type I error can occur when testing a statistical hypothesis because statistical tests involve a probability of making a mistake.

The null hypothesis is accepted if the value obtained from the test statistic falls within the range of the null distribution. If the test statistic falls outside of the range of the null distribution, the null hypothesis is rejected in favor of the alternative hypothesis. The decision to reject or accept the null hypothesis is based on the comparison of the test statistic to the critical value.

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16% of n=8

⇒n=8/16%

⇒50

Answer:

Hopefully correct:-

Step-by-step explanation:

8-6(a+7)=-28

2(a+7)=-28

(a+7)=-28-2

(a+7)=-30

a=-30-7

a=-37

z = √35 is the ratio of the long leg to the hypotenuse and the exact value of z are shown in the diagram below.

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners.

given

The ratios of the long leg to hypotenuse are the same for all right triangles since they are similar:

z/7 = 5/z

When z2 equals 35, multiply by 7z.

z = √35

z = √35 is the ratio of the long leg to the hypotenuse and the exact value of z are shown in the diagram below.

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Answer:

See answers below.

Step-by-step explanation:

 x  =  - 4x + 15             Change the ≤ to an = and solve for x    

4x =   4x          

5x  =       15

  x =    3           Now replace the equal sign with ≤

    x ≤ 3

The graph: closed circle dot at point 3 and shaded to the left . Can not see the graph but pick the one that starts at 3 and shaded to the left.

Answer:

it's 2

Step-by-step explanation:

x-k and in this instance k=2 !

Answer:

FULL ANSWERS ATTACHED

Step-by-step explanation:

(brainly maybe?)

Answer:

Domain: {1,3,−5,4}

Range: {2,4,−6,10}

Step-by-step explanation:

The domain is the set of all the values of x. The range is the set of all the values of y.

Answer:

option C is the correct answer my friend

Answer:

x=9/2 or 4.5

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

28*3= 84

Answer:

Auto pay -Cable co. -87.77

Step-by-step explanation: It’s for a overdraft so with that being said Uu have to find the number with the negative sign in front of it

The economic order quantity (EOQ) for the switch connectors is approximately 97 units.

To determine the economic order quantity (EOQ) for the switch connectors, we can use the following formula:

EOQ = √((2 * Annual Demand * Order Cost) / Holding Cost)

Given the following information:

Annual Demand = 15,400 units

Holding Cost = $24 per unit

Order Cost = $74 per order

Plugging in the values into the formula, we get:

EOQ = √((2 * 15,400 * 74) / 24)

EOQ = √(227,200 / 24)

EOQ = √(9,466.67)

EOQ ≈ 97.28

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The locations of the linear pair angles, the angle expressions, indicates that the  value of x is 24, and we get;

m∠FLS = 108°

m∠SLT = 72°

m∠ALG = 18°

Linear pair angles are angles that together form a straight line.

Linear pair angles are supplementary.

The linear pair angles, ∠FLS and ∠FLG, indicates;

(4·x + 12)° + (3·x)° = 180°

7·x + 12 = 180

7·x = 180 - 12 = 168

x = 168/7 = 24

x = 24

Therefore; m∠FLS = (4 × 24 + 12)° = 108°

∠SLT ≅ ∠FLG, vertical angles theorem, therefore;

m∠SLT = m∠FLG = (3·x)°

x = 24

m∠SLT = m∠FLG = (3 × 24)° = 72°

m∠SLT = 72°

∠ALF = ∠FLG + ∠ALG (Angle addition property)

∠ALF is a right angle, therefore, ∠FLG and ∠ALG are complementary, angles

∠FLG + ∠ALG = 90°

m∠ALG = 90° - m∠FLG

m∠ALG = 90° - 72° = 18°

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