Everyone in sandys class has to da a science project . Out of 25 students ,76% have completed their projects .How many students still need to do their projects?

The answer that correctly fills the missing portions is option A.

The full sentence is: When the Bureau of Labor Statistics (BLS) calculates an increasing Consumer Price Index (CPI); the Federal Reserve (FED) may choose to Quantitative Easing.

Quantitative easing is a monetary policy operation in which a central bank buys government bonds or other financial assets to infuse monetary reserves into the economy in order to encourage economic activity.

The goal of QE is to level the playing field in order to make spending and investing money more enticing and accessible to people. Lower interest rates may improve the possibility that company and civilian borrowers will borrow to make purchases, promoting economic activity.

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Full Question:

When the ___ calculates an increasing ___ ; the ___ may choose to decrease______.

A) BLS, CPI. FED, QE

B) OECD, QE, BLS, CPI

C) BEA, GDP, BLS, CPI

D) BEA, CPI, OECD, GDP

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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Не говоря български, но може би снимката по-долу ще бъде полезна... Опитайте да копирате и поставите английския текст в преводач.

I think for either cone, r stands for radius, h is the height, and is the slant height.

Then rotating the triangle about the shorter leg with length a = 3 cm, the resulting cone (on the right in the picture) would have r = 4 cm, h = 3 cm, and = 5 cm.

For the other cone, rotating about the longer leg with b = 4 cm generates a cone with r = 3 cm, h = 4 cm, and = 5 cm.

Step-by-step explanation:

\({:}\longrightarrow\)\(\sf (w+4)(3w-2)\)

\({:}\longrightarrow\)\(\sf w(3w-2)+4 (3w-2)\)

\({:}\longrightarrow\)\(\sf 3w^2-2w+12w-8\)

\({:}\longrightarrow\)\(\sf 3w^2+10w-8 \)

The total surface area must be calculated by adding the areas of all five faces, the four triangular faces, and the square base.

The term "square pyramid" refers to a three-dimensional geometric form with a square base and four triangular faces or sides that meet at a single point (known as a vertex). Because it has five faces, it is referred to as a pentahedron.

Given :

Let s represent the square base's side length and h represent the slant height of each triangle face. The area of a single triangle is then determined by:

A = (1/2) * s * h

The areas of all five face the four triangular faces and the square base must be added up in order to determine the overall surface area of the pyramid.

The overall surface area is: since the square base has a simple area of s2.

When we replace A with the expression, we obtain:

We require further details regarding the pyramid in order to determine the values of s and h.

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The first number is 3 and the second number is -5.

According to the question,

We have the following information:

There are two mystery numbers. The sum of 6 times the first number and 4 times the second number is -2. The sum of 6 times the first number and 2 times the second number is 8.

Now, let's take the first number to be x and the second number to be y.

So, we have the following expressions:

6x+4y = - 2

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

6x+2y = 8

Putting the value of 6x from equation 1:

-2-4y+2y = 8

-2-2y = 8

-2y = 8+2

-2y = 10

y = -10/2

y = -5

Putting this value of y in equation 1:

6x = -2-4y

6x = -2-4*(-5)

6x = -2+20

6x = 18

x = 18/6

x = 3

Hence, the first number is 3 and the second number is -5.

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Answer:

$258 donated

Step-by-step explanation:

24(4)=96

40(4)=160

56+32=88

96+160+88= 344

344/4=86

86(3)=258

Answer:

$258 donated

Step-by-step explanation:

24(4)=96

40(4)=160

56+32=88

96+160+88= 344

344/4=86

86(3)=258

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

Answer:

I am confident the answer is H.

Mbhalati's statement is valid.

The charge of R180 is less than the total value of his deposit is R2000.

To determine whether Mbhalati's statement is valid, we need to calculate the total value of his deposit and compare it to the stated charge.

Given information:

Value of notes deposited: R1500

Value of coins deposited: R500

Charge for the deposit: R180

To calculate the total value of Mbhalati's deposit, we add the value of the notes and the value of the coins:

Total deposit value = Value of notes + Value of coins

Total deposit value = R1500 + R500

Total deposit value = R2000

Now, let's compare the total deposit value to the stated charge:

Total deposit value = R2000

Stated charge = R180

Mbhalati's statement would be valid if the stated charge (R180) is equal to or less than the total deposit value (R2000).

Let's check:

Is R180 ≤ R2000?

Yes, R180 is less than R2000.

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Answer:

a= 20.5in.

Step-by-step explanation:

Using the law of cosine to solve the problem (adjacent/hypotenuse) you set up the equation cos(35)=a/25 since a is adjacent to the angle and since 25 is the hypotenuse. You then wanna multiply both sides of the equation by 25 to  since you are dividing by 25 because opposites cancel out and you want to get the variable x alone and on one side. After doing this you get 25*cos(35)=x. You put this in a calculator and get 20.4788011072 and when you round it to the nearest tenth you get 20.5in.

Hope this helps :)

Answer:

A. 20.5 In

Step-by-step explanation:

hello there, in order to solve a trigonometry solution you must know the law of cos sin rule..

please remember this formula...

1. SOH.. Sin Ø =

\( \sin(x) = \frac{opposite}{ hypotenus} \)

2. CAH..

\( \cos(x) = \frac{adjacemt}{hypotenus} \)

3. TOA

\( \tan(x) = \frac{opposite}{adjacent} \)

Based on the question.. the value is given such as

ø=35°

hypotenus = 25 inch

find the BC which is the adjacent..

so we have the value for hypotenus and the angle.. the only relationship that suits this category is CAH .

FORMULA FOR CAH

COS Ø = ADJACENT/ HYPOTENUS

then now we substitute the value given

\( \cos(35) = \frac{bc}{25} \)

bring up the 25 to cos 35..

\(25 \cos(35) = bc\)

calculate the value of BC

\(bc = 25 \cos(35) \)

\(bc = 20.47\)

so the length of BC is equals to 20.47 or 20.5 In

Answer:

The volume is 60cm³

Step-by-step explanation:

(bxhxl)/2 = answer

(5x4x6)/2

5x4 = 20

20x6=120

120/2 = 60

150−28w

i think i dont know

Answer:

3.75 tons djdhdjrjrhejejjwjwjsjs

Answer:

3.75 US tons

Step-by-step explanation:

1 ton =2000 pounds

so  7,500÷2000 =3.75

Answer:

Please find attached pdf

Step-by-step explanation:

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

ANSWER

Like terms

EXPLANATION

We want to define if -7y and 4y are like terms.

Like terms are terms whose variables and their exponents(power of the variable) are the same.

From the question, we see that the two terms have variable y and they have the same power (1).

In other words, -7y and 4y are like terms.

The required quadratic polynomial is  \(x^{2} - 8x + 12 =0\) and roots of this quadratic polynomial are 2 and 6.

Let the roots of the quadratic equation be  \(\alpha\) and \(\beta\) .

Given,  

          Sum of zeroes,  \(\alpha +\beta = 8\)

           Product of Zeroes, \(\alpha *\beta = 12\)

we know that,

      Quadratic Equation can be written as :

                     \(x^{2} - (\alpha + \beta )x + \alpha \beta =0\)

     Substituting the values in the above Equation,

                    \(x^{2} - (8)x + (12) =0\)

                    \(x^{2} - 8x + 12 =0\)

Hence, The required quadratic equation is \(x^{2} - 8x + 12 =0\) .

Now, let's factorize the equation to find its root:

                    \(x^{2} - 8x + 12 =0\)

                    \(x^{2} - 6x -2x+ 12 =0\)

                    \(x(x-6) -2(x-6)=0\)

                     \((x-6)(x-2)=0\)

                    ⇒ \(x= 2,6\)

Therefore roots of the quadratic equation \(\alpha ,\beta\) are \(2,6\) .

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Answer:

2 and 3

2+3 = 5

3-2 = 1

is the number

Answer:

the answer is 5.5 thank me later

Answer:

5.5

Step-by-step explanation:

Answer:

i got x=24. I might be wrong, please don't be mad.

Step-by-step explanation:

i started with (5x-28)+(x+5)+(2x+11)=180

i combined like terms and got 8x-12=180

then i added 12 to both sides 8x=192

finally i divided by 8 on both side x=24

hopefully this is correct and helped

Answer:

i got x=24. I might be wrong, please don't be mad.

Step-by-step explanation:

i started with (5x-28)+(x+5)+(2x+11)=180

i combined like terms and got 8x-12=180

then i added 12 to both sides 8x=192

finally i divided by 8 on both side x=24

hopefully this is correct and helped

The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

Given: raise t to the 10th power then add the result to 3

Note: t is the variable here

Let's write algebraic expression now:

raise t to the 10th power => t¹⁰

then add the result to 3 => t¹⁰ + 3

Therefore, the algebraic expression is t¹⁰ + 3

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The last one 8,000 + 600 + 9

a) The joint density of Y1 and Y2 is f(y1, y2) = 1, for 0 ≤ y1, y2 ≤ 1.

b) The marginal density for Y1 is f(y1) = 1, for 0 ≤ y1 ≤ 1.

Explanation:

(a) The joint density of Y1 and Y2 is found by multiplying the two individual densities together. Since Y1 and Y2 are independent, this is simply the product of the two densities.

The density for U1 is the same for all values of U1 on the interval (0,1), which is 1. The density for U2 is also the same for all values of U2 on the interval (0,1), which is also 1.

Therefore, the joint density of Y1 and Y2 is:

f(Y1,Y2) = f(U1U2,U2)

= f(U1) x f(U2)

= 1 x 1

= 1

(b) The marginal density for Y1 is the density of Y1 without regard to Y2. Since Y2 is uniform on (0,1), we can integrate the joint density over the interval (0,1) to obtain the marginal density of Y1:

f(Y1) = ∫f(Y1,Y2)dY2

= ∫1dY2

 Y2 = 1

Therefore, the marginal density of Y1 is 1

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Check the picture below.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)

Make sure your calculator is in Degree mode.

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

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