¾+(⅓÷⅙)-(-½)=( ) need help with this question ​

Exact Form:

5/7

Decimal Form:

0.7142

Answer:

1/2+1/2 + 0

= 1

Step-by-step explanation:

sin30° = 1/2

cos 60° = 1/2

tan 0° = 0

Answer:

The value of (2x+y) is 3.

Step-by-step explanation:

First, we have to find the values of x and y.

We have that:

x + 2y = 9, which also means that:

x = 9 - 2y

Replacing into the second equation, to find y:

[tex]3x - y = -8[/tex]

[tex]3(9 - 2y) - y = -8[/tex]

[tex]27 - 6y - y = -8[/tex]

[tex]7y = 35[/tex]

[tex]y = \frac{35}{7}[/tex]

[tex]y = 5[/tex]

Finding x:

[tex]x = 9 - 2y = 9 - 10 = -1[/tex]

What is the value of (2x+y)?

2(-1) + 5 = -2 + 5 = 3

The value of (2x+y) is 3.

Step-by-step explanation:

lolekieieieieieooe EP of everything e

The multiplication of the given numbers is obtained as 0.43.

A number can be rounded to a certain place by looking at the number just after that place. If it is greater than or equal to 5, one is added otherwise it is kept as the same.

The given numbers are 1.34 and 0.32 respectively.

The multiplication of these numbers are given as follows,

1.34 × 0.32

= 0.4288

In order to round it to the nearest hundredth, look at the digit at the thousandth place.

Here, it is given as 8 which is greater than 5.

Thus, the required number is 0.43.

Hence, the required number obtained after the rounding to the nearest hundredth is given as 0.43.

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Answer:

11,44,83

Step-by-step explanation:

4y+7y+6=116(exterior angle is equal to sum of two opposite interior angle in traingle)

11y=116-6

y=110÷11=11

4y=4×11=44

7y+6=7×11+6=83

Answer:

Step-by-step explanation:

There could be two scenarios:

1. Three friends share the pizza and pay equally. The price is then:

2. Three friends share the pizza that Martha paid for. The price is then:

9514 1404 393

Answer:

  a) x = -3

  b) y = (28/27)x -27

Step-by-step explanation:

a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...

  x = constant

For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...

  x = -3

__

b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...

  m = -1/(-27/28) = 28/27

Using the point-slope equation for a line, we can model Ace Rd as ...

  y -y1 = m(x -x1)

  y -1 = (28/27)(x -27)

  y = (28/27)x -27

Answer:

6 tables

Step-by-step explanation:

8 multiply by 6 gives you 48

Answer:

r=9

Step-by-step explanation:

Answer:

C=9

Step-by-step explanation:

A = πr^2

A = π 9

9

Answer:

v=6

Step-by-step explanation:

Just plug in the numbers u already know.

v²=8²+2*(-7)*2

V²=64-28

v²=36

v=√36

v=6

Answer:

-48.89

Step-by-step explanation:

|5.74 + 2.89| – |16.20 + 41.32

|8.63| – |57.52|

= - 48.89

Answer:

36 degrees

Step-by-step explanation:

Angles in a triangle add up to 180.

180-62-62=36

36 degrees

Step-by-step explanation:

Answer:

 13x^2- 6x - 9

Step-by-step explanation:

Please use the word "subtraction" or "less ... " or similar.

8x^2+x-10 less -5x^2+7x+1 is

  8X^2 + x - 10

-(-5x^2+7x+ 1)

-----------------------

 13x^2- 6x - 9

Answer:

79°

Step-by-step explanation:

Line pu is a straight line meaning it has a measure of 180°.

37+34+30=101

180-101=79

Answer:

[tex] y = \frac{w - x^2}{-2z} [/tex]

Step-by-step explanation:

Given:

w = x² - 2yz

Required:

Solve for y

Solution:

[tex] w = x^2 - 2yz [/tex]

Subtract x^2 from not sides

[tex] w - x^2 = - 2yz [/tex]

Divide not sides by -2z

[tex] \frac{w - x^2}{-2z} = \frac{-2yz}{-2z} [/tex]

[tex] \frac{w - x^2}{-2z} = y [/tex]

[tex] y = \frac{w - x^2}{-2z} [/tex]

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

Answer:

Option C) Infinitely many solutions is correct option.

Step-by-step explanation:

We need to solve the equation [tex]5x - 7x + 6 = -2(x - 3)[/tex] and find value of x

The equation can be solved using DMAS rule.

Solving:

[tex]5x - 7x + 6 = -2(x - 3)[/tex]

Multiply -2 with terms inside the bracket

[tex]5x - 7x + 6 = -2x +6[/tex]

Now, we will combine like terms. Like terms are those terms that have same variable. In our case 5x, -7x and -2x are like terms and 6,6 are like terms.

[tex]5x - 7x +2x=-6 +6\\7x-7x=-6+6\\0=0[/tex]

Solving the equation we get 0=0 it means that the solution will have infinitely many solutions, because it will be true for every value of x.

So, Option C) Infinitely many solutions is correct option.

Answer:

Yes the sample can be use to make inference

Step-by-step explanation:

The inference is possible if the conditions:

p*n > 10      and   q*n > 10

where p and q are the proportion probability of success and q = 1 - p

n is sample size

Then   p = 12 / 30  = 0,4         q =  1 - 0,4    q  =  0,6

And  p*n  =  0,4 * 30  = 12            12 > 10

And  q*n  = 0,6 * 30   = 18            18 > 10

Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met

To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.

No, the sample size is not less than 10% of the population size,

Given:

The total number of council member are 200.

The randomly selected members are 30 .

Calculate the ratio of randomly selected members and total number of council member.

[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]

Thus, No, the sample size is not less than 10% of the population size.

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Answer:

D you divide

Step-by-step explanation:

The number sentence that shows how to find the number of blocks in each group is 52 ÷ 4.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that  there are 52 blocks in the groups below. Each group is the same size.

Therefore, to find the number of blocks in each group, we have to divide the number of blocks by group.

That is;

52 / 4 = 13

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Answer:

x = 4

Step-by-step explanation:

When something is perpendicular, it must form a 90° or right angle [it will make a square]. Also keep in mind that perpendicular lines have reciprocal [numerator and denominator switch] slopes [steepness]

If you are given a line with a slope of zero like y = 3, any given line of x will be perpendicular. This is because when y = n; x is undefined. When x = n ; y is undefined. Since you want a line that will go through point (4, -2) and will be perpendicular to y = 3, just set x to the value of x in the coordinate. And in this case x is 4 so x = 4 will be the equation.

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

Answer:

A) 0.8131 ≈ 0.81

B) 0.6322 ≈ 0.63

C)  0.7639 ≈ 0.77

Step-by-step explanation:

A)

Total number of  units

= 55 + 32 + 17 + 3

 = 107

hence the probability that the failure involves a gas leak

= ( 55 + 32 ) / 107

= 0.8131

B) probability that there is evidence of electrical failure given tat there is a gas leak

P ( A / B ) = [tex]\frac{P(A n B)}{P(B)}[/tex]

P( A∩B ) = 55/107 = 0.5140

P ( B ) = ( 55 + 32 ) / 107 = 0.8131

hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322

A = failure due to electrical

B = failure due to gas leak

C)  Probability of a gas leak given that there is evidence of electrical failure

P ( B / A ) =  [tex]\frac{P(BnA)}{P(A)}[/tex]

P ( B ∩ A ) = 0.5140

P( A ) = ( 55 + 17 ) / 107  = 0.6729

hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639

Answer:

The equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Step-by-step explanation:

During last years's charity walk, she raised $45.50.

During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Answer: 45.50=0.7n

Step-by-step explanation:

Answer:

The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the equation of a line

y = 2x + 4

comparing with the slope-intercept form of the line equation

The slope of the line AB is m = 2

We know that the parallel lines have the same slope.

Thus, the slope of the new line is also 2.

now we have,

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (x₁, y₁) =  (3, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y - (-2) = 2(x - 3)

y + 2 = 2x - 6

subtracting 2 from both sides

y + 2 - 2 = 2x - 6 - 2

y = 2x- 8

Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is: