Find the inner product for (7,-2,4).(3,8,1) and state whether the vectors are perpendicular.

Answer:

E. 45 miles

Step-by-step explanation:

The difference between the packages is $20. You would need to drive at least 40 miles since 40(0.5) =$20. The best answer is E. 45 miles

You would need to drive 37 miles for the first package ($120 flat rate per day) to be a better deal than the second package ($100 flat rate plus $0.55 per mile).

To determine how many miles you would need to drive for the first package to be a better deal, we need to set up an equation where the cost of both packages is equal. The first package costs a flat rate of $120 per day, while the second package costs a $100 flat rate plus $0.55 per mile. We can write these costs as equations:

To find the number of miles required to make the first package cost the same as the second, we set Cost1 equal to Cost2:
$120 = $100 + $0.55m

Solve for m:
$120 - $100 = $0.55m
$20 = $0.55m
m = $20 / $0.55
m = 36.36

Since we need a whole number of miles and it's not an option given in the multiple choices, we can conclude you would need to drive 37 miles for the first package to be the better deal, since after 36 miles, the second package becomes more expensive.

Answer:

secΘ

Step-by-step explanation:

The reciprocal of cos x is

[tex]\frac{1}{cosx}[/tex] = sec x

reciprocal of cosΘ is secΘ

Answer:

The answer is secΘ

Answer: 20%

Step by Step Explanation:

Start by subtracting 519.29 from 649, you would get 129.8

Then take 129.8 and divide that by 649.

You get 0.2 which equals 20%

Tip: To find the percent of a fraction you divide the numerator by the denominator. For example, if you want to find the percent on a test, and you get a 8/10 you just divide 8 by 10. Which obviously equals 80.

Answer:

1.25

Step-by-step explanation:

$649 ÷ 1.25 = $519.20 Double check your answer over by doing the following step.. $519.20 × 1.25 = $649

Answer:

D

Step-by-step explanation:

The dependent variable in the experiment will be the number of plants.

The dependent variable is the variable that is being measured or tested in an experiment. it is the variable whose value depends upon the other variables if we change that independent variable the value of the dependent variable changes.

here in the question dependent variable in the experiment will be the number of plants.

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[tex]p-1=p^4+p^2+p-k[/tex]

[tex]-1=p^4+p^2-k[/tex]

[tex]\boxed{k=p^4+p^2+1}\Longrightarrow\boxed{p\in\mathbb{R}}[/tex]

Answer:

the volume is 10.56 rounded is 11

Step-by-step explanation:

1/3*4*8=10.56

The first answer choice

A system of equations can be represented by a matrix equation. The coefficients of the equations are used to form the matrixes, which can then be solved simultaneously.

A system of equations can be represented by a matrix equation using the coefficients of the equations. Let's say you have the following system of equations, where 1. 3x + 2y is equal to 9, and 2. 4x + 5y is equal to 6.

We express this system in the form AX=B, where A is the matrix of coefficients, X is the column matrix of variables, and B is the column matrix of constants. So in this case:
A = [[3, 2], [4, 5]]
X = [x, y]
B = [9, 6].

Adding these together, we can form the matrix equation [[3, 2], [4, 5]] [x, y] = [9, 6]. This represents the given system of equations in matrix form.

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Answer:

C, C, C

Hope This Helps!    Have A Nice Day!!

It would be B, because you would do the inverse operation and add three to the opposite side, which would give you 6X = -48. Then, you can divide by 6, so X would be -8

4:1 should be your answer I might be dumb‍♀️

Answer:

4:1

Step-by-step explanation:

We can divide 28 and 7 by 7

28/7 = 4

7/7 =1

28:7  becomes 4:1

Answer: [tex]\frac{70}{3}[/tex]

Step-by-step explanation:

Given a fraction [tex]\frac{a}{b}[/tex] and a fraction [tex]\frac{c}{d}[/tex], you can find the product by multiplying the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second one:

[tex]\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}[/tex]

Therefore, knowing this you can find the product of the fractions [tex](\frac{5}{3})(\frac{2}{3})(\frac{21}{1})[/tex]:

 [tex](\frac{5}{3})(\frac{2}{3})(\frac{21}{1})=\frac{5*2*21}{3*3*1}=\frac{210}{9}[/tex]

And finally you need to reduce the fraction:

[tex]=\frac{70}{3}[/tex]

Answer:

Final answer is [tex]\frac{70}{3}[/tex].

Step-by-step explanation:

Given expression is :

[tex]\left(\frac{5}{3}\right)\cdot\left(\frac{2}{3}\right)\cdot\left(\frac{21}{1}\right)[/tex]

Now we need to find their product. In other words simplify it

We can multiply numerator with numerator. Then denominator with denominator

[tex]\left(\frac{5}{3}\right)\cdot\left(\frac{2}{3}\right)\cdot\left(\frac{21}{1}\right)[/tex]

[tex]=\frac{5\cdot2\cdot21}{3\cdot3\cdot1}[/tex]

[tex]=\frac{210}{9}[/tex]

[tex]=\frac{70}{3}[/tex]

So the final answer is [tex]\frac{70}{3}[/tex].

Answer:

$1057.69/week

Step-by-step explanation:

There are 52 weeks in a year.

Thus, the weekly pay is in the area of:

$55,000

------------------ = $1057.69/week

  52 weeks

Answer:

Step-by-step explanation:

Let b and g represent the number of boys and the number of girls respectively.

Then b + g = 22 (students), and g = b + 12.

Substituting b + 12 for g in b + g = 22 yields:

b + (b + 12) = 22

or:

2b + 12 = 22, or 2b = 10, so that b = 5.

Then g = b + 12 = 5 + 12 = 17.

There are 17 girls and 5 boys.

Question 1:

For this case, let the variable "x" be the number of girls in the classroom. Let the variable "y" be the number of boys in the classroom.

We propose the equations:

[tex]x + y = 22\\x = y + 12[/tex]

We substitute the second equation in the first:

[tex]y + 12 + y = 22\\2y = 22-12\\2y = 10\\y = 5[/tex]

So, in the classroom there are 5 boys.

[tex]x = 5 + 12\\x = 17[/tex]

So, there are 17 girls.

Answer:

5 guys

17 girls

Question 2:

For this case we have to:

Let x be the variable that represents the amount of money Jamie has.

Let y the variable that represents the amount of money that Kristen has

We have to:

[tex]x = 2y\\x + y = 36[/tex]

We substitute the first equation in the second:

[tex]2y + y = 36\\3y = 36\\y = \frac {36} {3}\\y = 12[/tex]

Looking for the value of x:

[tex]x = 2 (12)\\x = 24[/tex]

Answer:

So, Jaime you have $ 24 and Kristen you have $ 12.

Question 3:

For this case we have to:

Let "x" be the variable that represents the number of dogs in the Pet Stop.

Let "y" be the variable that represents the number of cats in the Pet Stop.

We have to:

[tex]x + y = 15\\4x = y[/tex]

We substitute the second equation in the first:

[tex]x + 4x = 15\\5x = 15\\x = \frac {15} {5}\\x = 3[/tex]

We look for the value of y:

[tex]y = 4x\\y = 4 (3)\\y = 12[/tex]

So, there are 12 cats and 3 dogs.

Answer:

12 cats

3 dogs

Answer:

Option C.

Step-by-step explanation:

The given function is g(x) = x² - 10x + 2x which is graphed on a coordinate plane.

We have to find the coordinates of the points at which function crosses x-axis.

As we know the points at which function crosses x-axis, y-coordinates will be 0/

In other words, g(x) = 0

So x² - 10 + 24 = 0

     x - 6x - 4x + 24 = 0

     x (x-6) - 4(x - 6) = 0

     (x-4) (x-6) = 0

     x = 4 and 6

So points at x-axis will be (4, 0 ) and ( 6, 0 )

Option C is the answer.

?=6

?=-22

each of them add or subtract 12

Answer:  (3, -1)

Step-by-step explanation:

Add the equations to eliminate y:

   x - y = 4

   x + y = 2

 2x      = 6

÷2         ÷2

   x     =  3

Substitute x = 3 into either of the equations to solve for y:

x + y = 2

3 + y = 2

    y = -1

That is a cuboid.

Cuboids have 8 vertices

As we are looking at the given shape, we have identified that it has 8 vertices.

A cuboid has three pairs of opposite faces. Each pair consists of two congruent rectangles that are parallel to each other. For instance, let's label the length, width, and height of the cuboid as "a," "b," and "c," respectively.

Length faces: These are the two large faces on the opposite sides of the cuboid, each measuring "a" units in length and "c" units in height. They contribute 4 vertices, two on the top edge and two on the bottom edge.

Width faces: These are the two smaller faces on the opposite sides, each measuring "b" units in width and "c" units in height. Like the length faces, they also contribute 4 vertices.

Height faces: These are the top and bottom faces of the cuboid, each measuring "a" units in length and "b" units in width. They contribute 4 vertices as well.

Now, it's essential to note that each vertex is a point where three edges meet. A cuboid has three edges meeting at each of its eight vertices. However, the four vertices on the top of the cuboid are not the same as the four vertices on the bottom; they belong to different faces. Hence, we cannot count them twice.

Thus, a cuboid has a total of 8 vertices.

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Answer:

its A

Step-by-step explanation:

Answer:

A) (3, 6)

Step-by-step explanation:

Answer:

9. A. (3,-2)

10. B. 43°

11. D. 343 cm²

12. A. 15

Step-by-step explanation:

9.Coordinates for summit/vertex U (2,3) after a rotation of 270 degrees.

Rotating a figure by 270 degrees is exactly like rotating it -90 degrees, crossing down over the X-axis (at least for the two summits that are in the first Quadrant).

Doing so, what we do is invert the coordinate numbers (so 2,3 become 3,2) and we change the sign of the Y-value, since we are now in the 4th quadrant, in a negative Y-value domain.

So, vertex U (2,3) becomes (2,-3) after a 270 degrees rotation.

10. Parallelogram JKLM.  Determine angle L real value, using the expressions: ∠J =(6x + 7)° , ∠M =(y + 10)°  and  ∠L =(4x + 19)° ,

Since it's a parallelogram, we know that  ∠J =  ∠L, so we create an equation and solve it.

6x + 7 = 4x + 19

2x = 12

x = 6

Then we use that value inside the expression given for L:

∠L =(4x + 19)° = (4 (6) + 19)°  = (24 + 19)° = 43°

Answer is 43°

11. 2 similar trapezoidal prisms, 5 and 7 of sides respectively.  Surface area of the small one is 175 sq cm, what' the surface area of the larger one?

We know that the two prisms are similar.... so all respective sides will be in the same proportion.  We know the scale factor is 1.4 (7/5).

So, to calculate the surface area of any side, we'll have something like that:

SA = 1.4x * 1.4y = 1.96xy  (x and y representing the dimensions of the small prism)

So, the surface area of the large one is 1.96 times the one of the small one.

SA = 1.96 * 175 = 343

Answer is then D. 343 cm²

12. For the triangle shown, solve for x.

We know the angle facing the 25 units side is a right angle (90 degrees).

So, we can use the Law of Sines to solve this:

[tex]\frac{c}{sin(C)} = \frac{a}{sin(A)}[/tex]

Let's assume c = x, what we're looking for.  C is then 37 degrees.  A = 90 degres and a = 25.

We isolate c and solve:

[tex]c = \frac{a * sin(C)}{sin(A)} = \frac{25 * sin(37)}{sin(90)} = 15.05[/tex]

The length of x is 15.05 or 15, answer A.

Answer:

Part A:

Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.

Part B:

(3 ,5 ) is the solution to the equations of lines A and B.

Step-by-step explanation:

Part A:

We are required to determine the number of solutions that the pair of equations for lines A and B have. To do this, we shall determine the slope of each line;

A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. The slope is defined as;

(change in y) / (change in x)

The slope of line A is thus;

(2 - 6)/(6 - 2) = -1

A straight line B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.

On the other hand, the slope of line B is;

(6 - 3) / (4.5 - 0) = 2/3

Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.

Part B:

What is the solution to the equations of lines A and B?

We first need to determine the equation of each line;

Line A, the slope was found to be -1 and the line passes through (2,6)

The equation of the line in slope intercept form is;

y = -x + c

6 = -2 + c

c = 8

y = -x + 8

On the other hand, the slope of line B was found to be 2/3 and the line passes through (0,3). Therefore, we have;

y = 2/3x + c

3 = 2/3 (0) + c

c= 3

y = (2/3)x + 3

The graph of these two lines is shown in the attachment below. The lines intersect at (3 ,5 ) which is the solution to the equations of lines A and B.

The graphical solution to a system of linear equations is given by the point of intersection of the two lines representing each equation.

Answer:

Other guy is correct :)

Step-by-step explanation:

Answer:

[tex]\boxed{\text{3 in}}[/tex]

Step-by-step explanation:

1 in = 190 ft

x in = 570 ft

We can use ratio and proportion to solve this problem.

[tex]\begin{array}{cccl}\dfrac{1}{x} & = & \dfrac{190}{570} & \\\\570 & = & 190x & \text{Mutiplied by lowest common denominator (570x)}\\3 & = & x & \text{Divided each side by 3}\\\end{array}[/tex]

The building will be [tex]\boxed{\textbf{3 in}}[/tex] tall in the scale drawing.

Answer:

4/6

Step-by-step explanation:

this is going to be your answer because 2/6 is 1/3 cup and then 4/6 is 2/3 of a cup.

Answer: It would most likely be D. 90

Step-by-step explanation: When you are dealing with grades, you have to know how to average them. First step is to add all of the points that he earned, this would be 80 + 100 + 100 + 100 + 100 = 480. After you find that, you have to divide it by 5 since he takes 5 tests. 480/5 = 96. I hoped this helped you.

Answer:

I believe that the answer is 90

Step-by-step explanation:

I think it is 90 because if you get 4 more 100%'s it should be a pretty much higher number. And it makes the most sense.

The median of data set A is less that the median in data set B and the range of data set A is greater than the range of data set B

Sorry if I get it wrong; please rate my answer

-2 + -2 is the same as -2-2=-4

So is a negative number

Answer:Your answer would be a negative number.

Answer:

x = 70°

Step-by-step explanation:

The given triangle has 2 equal sides and is therefore isosceles.

The base angles are equal, both 55°

To find x subtract the sum of the 2 angles from 180

x = 180° - (55 + 55)° = 180° - 110° = 70°

Answer:

x = 6

Step-by-step explanation:

5x - 10 = 2 - 2x + 10(x - 3)

Opening the brackets;

5x - 10 = 2 - 2x + 10x - 30

Putting the like terms together;

10x - 5x - 2x = 30 - 10 - 2

3x = 18

x = [tex]\frac{18}{3}[/tex] = 6

Final answer:

To find the value of x in the given equation, rearrange it to standard form, combine like terms, then isolate x to solve for its value.

Explanation:

Solving the equation: 5x-10=2-2x+10(x-3)

1. Rearrange the equation to standard quadratic form: 5x - 10 = 2 - 2x + 10x - 30

2. Simplify and combine like terms: 5x - 10 = -28 + 8x

3. Bring all terms to one side to get: 3x = 18

4. Solve for x: x = 18/3 = 6

Using it's concept, it is found that there is a [tex]\frac{3}{4}[/tex] probability that the red die shows an even number or the green die shows an even number.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A die has six sides, of which three are even and three are odd, hence:

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Hence:

[tex]P(A \cup B) = \frac{1}{2} + \frac{1}{2} - \frac{1}{4} = \frac{3}{4}[/tex]

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Answer:

$35.64

Step-by-step explanation:

First, add all the things she bought.

$5.78 + $19.87 + $24.99 = $50.64

Next, subtract the total with the $15 gift certificate.

$50.64 - $15 = $35.64.

Answer:

1=C 2=D 3=C 4=B 5=C 6=A 7=C 8=A 9=B

Step-by-step explanation:

Can  I get brainliest

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Answer:

It's number             A

Step-by-step explanation: