Simplify this expression.
[tex]\\\\(\sqrt{2} + \sqrt{3})(\sqrt{5} - \sqrt{7} \\A: \sqrt{5} + \sqrt{-2} \\B: \sqrt{10} + \sqrt{15} - \sqrt{14} - \sqrt{21} \\C: 2\sqrt{5} - 2\sqrt{7} \\D: 2\sqrt{5} + 3\sqrt{5} - 2\sqrt{7} - 3\sqrt{7}[/tex]

The complete question is

"What is the component form of the vector represented by 2a when a =⟨−2,3⟩?"

The Component form of the vector represented by 2a is (-4,6)

The component form of a vector is represented by (x, y) that has gone x units left to the origin and y units up from the origin.

Given, a=(-2,3)

By using scalar multiplication,

2a = (2(-2), 2(3))

2a = (-4,6).

Therefore the component form of 2a=(-4,6)

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Answer: 98

Given following:

[tex]\Longrightarrow \sf x = \dfrac{\sqrt{3} +\sqrt{2} }{\sqrt{3} - \sqrt{2} }[/tex]

[tex]\Longrightarrow \sf y = \dfrac{\sqrt{3} -\sqrt{2} }{\sqrt{3} + \sqrt{2} }[/tex]

Solve for x² + y²:

[tex]\rightarrow \sf \left(\:\dfrac{\sqrt{3}\:+\sqrt{2}\:\:}{\sqrt{3}\:-\:\sqrt{2}\:}\right)^2\:+\:\left(\dfrac{\sqrt{3}\:\:-\sqrt{2}\:\:}{\sqrt{3}\:+\:\sqrt{2}\:\:}\:\right)^2[/tex]

simplify following

[tex]\rightarrow \sf 49+20\sqrt{6}+49-20\sqrt{6}[/tex]

add/subtract similar terms

[tex]\rightarrow \sf 98[/tex]

Answer:

your question is

z²+1+y where, y=4,z=3

3²+1+4

9+5

14

is your answer

Answer: Option 1

Step-by-step explanation:

Here, a = -3, b = -2, c = 6.

Answer:

If both equations have the same slope, they are said to be parallel.

If an equation is the reciprocal of another equation (meaning flipped denominator and numerator as well as flipped +/- sign) they are said to be Perpendicular.

Hope it helps!

Answer:

D. 4

Explanation:

Linear relationship refers to relationships which give straight lines when graphed. All the segments, except segment 4, show straight-line, linear relationships.

As section 4 is curved, it show nonlinear relationship.

Answer:

[tex]x = \frac{4y + 1}{3} [/tex]

The goal is to isolate the X value. So the first step would be to add 1 to both sides, making the equation 4y + 1 = 3x.

Then you divide both sides by 3, making the equation (4y + 1)/3 = x

If you have a Y value then you'd plug it in for Y and solve for x but since there isn't one provided you're done.

We have the equation of a line:

[tex]y=-\dfrac{5}{4}x-1[/tex]

The formula of a slope of a line passes through points A, B:

[tex]A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\m=\dfrac{y_B-y_A}{x_B-x_A}[/tex]

Complete the table:

Put the values of x to the equation of a line and calculate the value of y:

[tex]x=0\\\\y=-\dfrac{5}{4}\cdot0-1\\\\y=-1\\\\\\x=4\\\\y=-\dfrac{5}{4}\cdot4-1\\\\y=-6[/tex]

Substitute to the formula of a slope:

[tex]m=\dfrac{-6-(-1)}{4-0}\\\\m=\dfrac{-6+1}{4}\\\\\huge\boxed{m=-\dfrac{5}{4}}[/tex]

Peter should buy 0.4 pound weight package

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct," "pct," and occasionally "pc" are also used, the percent sign, " percent ", is frequently used to signify it. A % is a number without dimensions and without a measurement system.

Given Peter's father told Peter to buy four-tenths of a pound of chili powder and Each package is marked with its weight.

We have to find which weight package should Peter buy

The four-tenths of a pound will be 40 % of one pound which is 0.4 pound. So peter should buy 0.4 pound weight package.

Hence Peter should buy 0.4 pound weight package

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Answer:

440cm²

Step-by-step explanation:

*Area= (a+b)/2×h

(19+25)/2*20

= _ * 440cm². *_

Answer:

440cm²

Step-by-step explanation:

I believe its right

Answer:

36 TSHIRTS is the number for minimum profit

Step-by-step explanation:

Y = Y

180 + 5X = 10X

180 = 10X - 5X

180 = 5X

X = 180/5

X = 36

Answer:

c: -7

Step-by-step explanation:

the slope of a perpendicular line is the negative reciprocal of the original line

a way to find this is to flip the numerator and the denominator of a slope and make it negative

1/7 --> 7 --> -7

that would be your slope

Answer:

132ft^2

Step-by-step explanation:

a)

x×3+4=22

b)

x×3+4=22

x×3=22-4

x×3=18

x=18÷3

x=6

Hope it helps

Answer:

x=6

Step-by-step explanation:

your equation would be X * 3 + 4 = 22

to solve you subtract four from both sides then divide three by both sides because you do the opposite of the sign thats there and you get x= 6! i hope this helped

Answer: 41

Step-by-step explanation:

If each line costs 2, then for the four-line ad, the cost is the initial price plus 4(2), meaning the initial cost is 25-8=17.

Thus, the cost of a 12-line ad is 17+2(12)=41

Answer:

A

Step-by-step explanation:

isolate r by dividing by πh. take the square root on both sides to get rid of the r^2 to make it just r

Answer:

r =sqrt(V/ ( pi h) )

Step-by-step explanation:

V = pi r^2 h

We want to solve for r

Divide each side by pi h

V/ ( pi h) = pi r^2 h/ ( pi h)

V/ ( pi h) = r^2

Now take the square root of each side

sqrt(V/ ( pi h) )= sqrt( r^2)

sqrt(V/ ( pi h) )=r

Research study measuring relationship suggests that video games may have a detrimental effect on an individual's grades.

This study analyzes the correlation between video game usage and academic performance. Scholastic Aptitude Test (SAT) and grade-point average (GPA) scores were used to gauge academic performance. The amount of time a student spends playing video games has a negative correlation with students' GPA and SAT scores. As video game usage increases, GPA and SAT scores decrease.

A chi-squared analysis found a p value for video game usage and GPA was greater than a 95% confidence level (0.005 < p < 0.01). This finding suggests that dependence exists. SAT score and video game usage also returned a p value that was significant (0.01 < p < 0.05). Chi-squared results were not significant when comparing time spent studying and an individual's SAT score. This research suggests that video games may have a detrimental effect on an individual's GPA and possibly on SAT scores. Although these results show statistical dependence, proving cause and effect remains difficult, since SAT scores represent a single test on a given day. The effects of video games maybe be cumulative; however, drawing a conclusion is difficult because SAT scores represent a measure of general knowledge. GPA versus video games is more reliable because both involve a continuous measurement of engaged activity and performance. The connection remains difficult because of the complex nature of student life and academic performance. Also, video game usage may simply be a function of specific personality types and characteristics.

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Answer:

n = 250

See solution and check blow.

Step-by-step explanation:

Solution:

-17 + n/5 = 33

Add 17 to both sides.

-17 + 17 + n/5 = 33 + 17

n/5 = 50

Multiply both sides by 5.

n/5 × 5 = 50 × 5

n = 250

Check:

-17 + n/5 = 33

Since we found out that n = 250, substitute 250 for n in the equation.

-17 + 250/5 = 33

Simplify the left side. Divide 250 by 5.

-17 + 50 = 33

Add on the left side.

33 = 33

Since 33 = 33 is a true statement, the solution n = 250 is correct.

Answer:

The last figure.

Answer:

Figure 1, 3 and 6

Point symmetry is when two figures or (equal) parts of a figure lies at a same distance but in opposite direction from a certain point.

Geometric proofs are a list of Statements and Reasons used to prove that a given mathematical concept or idea is true. Statements are claims about a geometric problem that cannot be proven true until backed by a mathematical Reason. Reasons are pieces of evidence that support a Statement.

The attached graph represents the function h(x), where h(x) = f(x)g(x)

Consider the functions f(x) = x - 6 and g(x) = x + 6. Which graph shows h(x) = f(x)g(x)?

We have

f(x) = x - 6

g(x) = x + 6

The equation h(x) = f(x)g(x) means

h(x) = f(x) * g(x)

So, we have:

h(x) = (x - 6) * (x + 6)

Expand

h(x) = x² - 36

See attachment for the graph of function h(x)

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Answer:

A on edg. 2020

Step-by-step explanation:

Which graph shows h(x) = f(x)/g(x)

The correct value that equates to this expression is 12‐³². Letter A

.

To solve this expression, just: eliminate the parentheses and multiply the exponents among themselves;[tex] \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ [/tex]

[tex]{ = \large \sf (12{}^{-4} ) {}^{8} } [/tex]

[tex]{ = \large \sf 12{}^{-4 \times 8} } [/tex]

[tex] \pink{ \boxed{ = \large \sf 12{}^{-32} } } \\ [/tex]

Therefore, the answer will be 12‐³²

Answer: (3,6)

Rewrite in vertex form and use this form to find the vertex (h,k)

Answer:

(3,6)

Step-by-step explanation:

f(x) = |x| is a V-shaped graph with the vertex at (0,0). It is called a parent graph, because its super basic.

f(x) = |x - 3| + 6

has had two changes made to it. The "- 3" that's in there close to the x slides the graph over to the right 3 units. This is kind of the opposite of what you might think. Minus3 shifts right. (Plus3 would shift left)

The +6 tacked on to the end shifts the whole graph UP 6.

That slides the graph RIGHT3 and UP6. So the vertex lands at (3,6). See image.

Answer:

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Women had a much higher chance of survival — regardless of what class they were in — then men did. Of the 466 women on board, 339 survived. Of the 843 men on board, only 161 survived — a measly 19% compared to the 73% of women who made it safely back to shore.

Answer:

AB = 102

Step-by-step explanation:

the median CT bisects the side AB at T , then

BT = AT , that is

7x + 9 = 5x + 21 ( subtract 5x from both sides )

2x + 9 = 21 ( subtract 9 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

then

AB = 5x + 21 + 7x + 9 = 12x + 30 = 12(6) + 30 = 72 + 30 = 102

The measure of AB is 102.

How to estimate the measure of AB?

The median CT bisects the side AB at T, then

BT = AT

7x + 9 = 5x + 21

subtracting 5x from both sides of the equation, we get

2x + 9 = 21

subtract 9 from both sides, and we get

2x = 12

Divide both sides by 2, we get

x = 6

then, AB = 5x + 21 + 7x + 9

AB = 12x + 30

Substituting the value of x,

12x + 30 = 12(6) + 30

= 72 + 30

AB = 102

Therefore, the measure of AB is 102.

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1. Moving at constant, you are at equilibrium and the restorative force of the scale balances your weight. So the scale exerts a force of 490 N and reads 50.0 kg.

2. The elevator is now moving up and slowing down, so its acceleration is pointing opposite the direction of motion, and Newton's second law says the net force is

F - 490 N = (50.0 kg) (-4.9 m/s²)

where F is the magnitude of the force due to the scale. Solve for F to get

F = 490 N - (50.0 kg) (4.9 m/s²) = 245 N

and the scale would read (245 N)/g = 25 kg. This should make sense; your inertia will cause your body to "want" to continue moving up at the same speed while the elevator slows down, and this relieves some of the upward force needed to keep your body moving with the elevator.

3. With the elevator in free fall, Newton's second law gives

F - 490 N = (50.0 kg) (-9.8 m/s²)   ⇒   F = 0 N

and the scale would read 0 kg. Now you're falling with the elevator; the scale doesn't have to counteract your weight anymore.

Answer:

the answer is B  

Step-by-step explanation:

I used photo math it shows the correct answer

Answer:

2nd one (B)

Step-by-step explanation: