help fill in these answers please​

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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The lines are neither parallel nor perpendicular to line p

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

y = -3x + 10

As a general rule

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

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The value of the product of the number as given in the task content is; Choice B; 1.

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

  30%: 35 liters

  50%: 35 liters

Step-by-step explanation:

The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.

  35 liters of 30% acid and 35 liters of 50% acid must be used

_____

If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...

  0.50x +0.30(70 -x) = 0.40(70)

  0.20x +21 = 28 . . . . simplify

  0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20

  x = 35 . . . . . . amount of 50% solution (liters)

  70-x = 35 . . . amount of 30% solution (liters)

As per the matrix, the three linearly independent eigenvectors are 0, 0.05 and 1.

Now let's consider the given matrix A. We are asked to find three linearly independent eigenvectors and their corresponding eigenvalues. Linearly independent eigenvectors are important because they allow us to represent any vector in the space as a linear combination of these eigenvectors.

The first eigenvector v1 is -1, and it corresponds to the eigenvalue λ1 = 0. To check if this is indeed an eigenvector, we multiply it by A and check if the resulting vector is a scalar multiple of v1. In this case, Av1 = 0v1, which means that v1 is indeed an eigenvector with eigenvalue λ1 = 0.

The second eigenvector v2 is also -1, and it corresponds to the eigenvalue λ2 = 0. Again, we multiply it by A and check if the resulting vector is a scalar multiple of v2. Av2 = 0v2, which means that v2 is an eigenvector with eigenvalue λ2 = 0.

The third eigenvector v3 is 0, and it corresponds to the eigenvalue λ3 = 1. We repeat the same process and check if Av3 is a scalar multiple of v3. In this case, Av3 = 0.05v3, which satisfies the given condition of having all entries with absolute value smaller than 0.05. Therefore, v3 is an eigenvector with eigenvalue λ3 = 1.

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Answer:

Infinite Solutions

Step-by-step explanation:

If the two equations are the same (as they are here), the amount of solutions would be infinite. I hope this helps!

Answer:

Let x be how much more money Jose needs to save.

135 + x = 499

x = 364

Jose needs to save 364 more dollars.

Let me know if this helps!

Answer:

364*

Step-by-step explanation:

499-135=314

364+ 135=499

I put 449 instead of 499 so now i feel foolish. But that's okayy.

Answer:

Part 1: -10, -5, 0, 8 Part 2: -3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Part 1: The lower the number, the lower the temperature
Part 2: Convert the fractions into decimals

2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)

Answer:

when in doubt choose c

Step-by-step explanation:

Answer: 11/48 cubic feet

Step-by-step explanation:

alright ill try my best to explain

so you use the formula V = 22/21r^2h

where V is volume

r is radius

and h is height of cone

you simply plug in the values given in the question, so

V=22/21*1/2^2*7/8

so the answer would be 11/48 cubic feet

We will have the following:

1. f(g(2)):

2. f(g(x)):

3. g(f(x)):

4. (g ° g)(x):

5. (f ° f)(x):

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20

=================================================

Explanation:

Label the center point of the circle as point G.

Also, label the top and bottom tangent points as H and J respectively. This means that H is on line segment ED, while J is on line segment EF.

The given arc measure of 100 degrees directly leads to the central angle HGJ to be 100 degrees.

Focus on quadrilateral EHGJ. It has two right angles at points H and J since they are tangent points. Angle G of this quadrilateral was found to be 100. Let's find angle E

E+H+G+J = 360 ..... any four angles of a quadrilateral add to 360

E+90+100+90 = 360

E+280 = 360

E = 360-280

E = 80

Or as a shortcut, we can note that angles E and G must add to 180, since H+J = 90+90 = 180, making up half of 360.

So, E+G = 180 leads to E+100 = 180 which solves to E = 80.

Once we know that E = 80, this leads to angle DEF to be 80 degrees.

This is an inscribed angle that subtends arc DF. By the inscribed angle theorem, we double the inscribed angle value to get the arc measure

arc DF = 2*(inscribed angle DEF)

arc DF = 2*(80)

arc DF = 160 degrees

Answer:

  addition property of equality

Step-by-step explanation:

You want the justification for step 1 in the solution process for -22 - x = 14 + 6x.

No solution process steps are shown, but we can speculate what they might be.

The goal is to separate constant terms and variable terms. This can be done several ways, but generally consists of adding the same thing to both sides of the equation.

Often, you're told to collect the variable terms first. Some prefer to do that so the variable terms are on the left side of the equal sign. Others prefer to do that so the result has a positive coefficient for the variable term. Taking the latter tack, we want to add x (the opposite of -x) to both sides of the equation:

  -22 -x +x = 14 +6x +x . . . . . x added to both sides

  -22 = 14 +7x . . . . . . . simplified

The justification for this step is the addition property of equality. That property allows you to add the same thing to both sides of an equation without changing the values of the variables.

__

Additional comment

Step 2 would be to add -14 to both sides, giving you ...

  -36 = 7x . . . . . . . . add -14; addition property of equality

If you like, you can do both of these additions in one step:

  -22 -x +(x -14) = 14 +6x +(x -14) . . . add(x -14); addition property of equality

  -36 = 7x . . . . . . simplified

Step 3 is to divide by the coefficient of the variable.

  -36/7 = (7x)/7 . . . . division property of equality

  -5 1/7 = x . . . . . . . simplified. This is the solution.

The usual procedure takes 3 steps, so this is called a "3-step equation."

Note that we choose for the variable coefficient to be positive, because we judge arithmetic with positive numbers to be less error-prone. If you collect the variable terms on the left, you get ...

   -7x = 36

so have to divide by -7. This should not be an issue if you're careful with your arithmetic, but many find dealing with negative numbers to be a challenge.

By using sum of sequence the value of (3+6+9+...+57) is 570, which is option C).

What is sum of the sequence ?

The sum of a sequence is the total result of adding up all the numbers in the sequence. The method for finding the sum of a sequence depends on whether the sequence is arithmetic or geometric.

For an arithmetic sequence, in which each term is obtained by adding a fixed number (called the common difference) to the previous term, the sum of the first n terms can be found using the formula:

\(Sn = n/2(2a + (n-1)d)\)

where a is the first term, d is the common difference, and n is the number of terms.

For a geometric sequence, in which each term is obtained by multiplying the previous term by a fixed number (called the common ratio), the sum of the first n terms can be found using the formula:

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

where a is the first term, r is the common ratio, and n is the number of terms.


According to the question:
We can notice that each number in the sequence 3, 6, 9, ..., 57 is 3 times the corresponding number in the sequence 1, 2, 3, ..., 19.

So, we can find the sum of the sequence 3, 6, 9, ..., 57 by finding the sum of the sequence 1, 2, 3, ..., 19 and then multiplying by 3.

The sum of the sequence 1, 2, 3, ..., 19 is:

1 + 2 + 3 + ... + 19 = (19/2)(1 + 19)/2 = 190

Multiplying by 3, we get:

3 + 6 + 9 + ... + 57 = 3(1 + 2 + 3 + ... + 19) = 3(190) = 570

Therefore, the value of (3+6+9+...+57) is 570, which is option C).

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Hey there! :)

Answer:

(7x +5)(x - 3)

Step-by-step explanation:

Starting with:

7x² - 16 - 15

Find two numbers that add up to -16 and multiply to form -15. Remember the coefficient of 7 in the front of the equation.

The numbers '5' and '-3' can be derived. Put these into factored form:

(7x +5)(x - 3)

9514 1404 393

Answer:

  197 pounds

Step-by-step explanation:

To find the total weight, we can multiply the weight of each cubic foot by the number of them. The number of cubic feet is found using the volume formula ...

  V = LWH

  V = (2.5 ft)(13 ft)(11 ft) = 357.5 ft³

Then the total weight of the contents is ...

  (357.5 ft³)(0.55 lb/ft³) = 196.625 lb

The weight of the contents is about 197 pounds.

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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Answer:

12

Step-by-step explanation:

mean is calculated as

mean = \(\frac{sum}{count}\)

Here mean = 316 and sum = 3792 , count n is required to be found, so

\(\frac{3792}{n}\) = 316 ( multiply both sides by n )

3792 = 316n ( divide both sides by 316 )

12 = n

There are 12 observations in the data

The equation of tangent plane to the given parametric surface \(r(u,v) = u.cos(v)i + u.sin(v)j + vk\) is \(\frac{\sqrt3}{2}x - \frac{5}{2}y + 5z = \frac{5\pi}{3}\) .

The given parametric surface is

\(r(u,v) = u.cos(v)i + u.sin(v)j + vk\)

The tangent vectors are

⇒ \(r_u = \frac{dx}{du} i+ \frac{dy}{du}j + \frac{dz}{du}k\)

⇒ \(r_u =\) \(r(u,v) = cos(v)i + sin(v)j + 0k\)

⇒ \(r_v = \frac{dx}{dv} i+ \frac{dy}{dv} j+ \frac{dz}{dv} k\)

⇒ \(r_v =\)  \(r(u,v) = -u.sin(v)i + u.cos(v)j + 1k\)

The normal vector to the tangent plane is

\(r_u r_v = \left[\begin{array}{ccc}i&j&k\\cos(v)&sin(v)&0\\-usin(v)&ucos(v)&1\end{array}\right]\)

⇒ \(r_u r_v =\) \(sin(v)i - cos(v)j + u.k\)

When u = 5, v = \(\frac{\pi }{3}\), the normal vector becomes

⇒  \(sin(\frac{\pi}{3})i - cos( \frac{\pi}{3})j + k\)

⇒ \(\frac{\sqrt{3} }{2}i - \frac{1}{2} j + k\)

The point on the surface corresponding to the u = 5 & v= \(\frac{\pi}{3}\) is

\(r(5, \frac{\pi}{3}) = (5)cos(\frac{\pi}{3})i + (5)sin(\frac{\pi}{3})j + (\frac{\pi}{3})k\\r(5, \frac{\pi}{3}) = \frac{5}{2}i + \frac{5\sqrt3}{2}j + \frac{\pi}{3}k\)

If a is the position vector of a point on the plane & n is a vector normal to the plane, then the equation of the plane is

⇒ (r - a).n = 0

⇒ \((x - \frac{5}{2}) . ( \frac{5\sqrt3}{2}) + (y - \frac{5\sqrt3}{2}).(- \frac{5}{2}) + (z - \frac{\pi}{3}).(5) = 0\)

⇒  \(\frac{\sqrt3}{2}x - \frac{5}{2}y + 5z = \frac{5\pi}{3}\)

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Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose 57 dollars on each policy sold.

Explanation:

If a person lives to the age of 70, they will earn $765. So, there is a 97% chance to earn $765. On the other hand, if a person dies before age of 70, they will lose $26635 because

$27,400 - $765 = 26,635

Then, there is a 3% chance to lose $26635.

Now, we can find the expected value, multiplyion each option by its probability, so:

E = $765(0.97) - (26635)(0.03)

E = $742.05 - $799.05

E = - $57

Since the sign is negative they can expect to lose money, so the answer is:

Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose 57 dollars on each policy sold.

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Answer:

Step-by-step explanation:

A coin has two faces, a head (H) or tail (T). Tossing a coin twice in succession would give the following sample size;

                                 {HH, HT, TH, TT}

Given that: A = first toss is heads, B = second toss is heads, then:

i. P(A) = {HH, HT} = 2

ii. P(B) = {TH} = 1

iii. P(A∩B) = {HH} = 1

iv. P(B /A) = \(\frac{1}{2}\)

Answer:

5/3

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 25 and 15 is 5

Divide both the numerator and denominator by the GCD

25 ÷ 5

15 ÷ 5

Reduced fraction:  

5

3

Therefore, 25/15 simplified to lowest terms is 5/3.

brailiest pls hope it helps