help please I need this done​

Answer:

Yes

Step-by-step explanation:

1/2 + 6/6

= (1*3)/(2*3) + 6/6

= 3/6 + 6/6

= 9/6

= 3/2

So the fraction 1/2 make the equation true.

Let's check

[tex]\\ \rm\Rrightarrow 6/6+1/2[/tex]

[tex]\\ \rm\Rrightarrow 1+1/2[/tex]

[tex]\\ \rm\Rrightarrow 2+1/2[/tex]

[tex]\\ \rm\Rrightarrow 3/2[/tex]

Yes true

Answer:

Integers and decimals

Step-by-step explanation:

Soorry im too lazy to read all this

Answer:

Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange​ paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.

a. Arnie buys a​ 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange​ paint? Explain.

▼  

Yes.

No.

The 3 cups of dark orange paint require  

nothing ​ounce(s) of red​ paint, and the 3 cups of light orange paint require  

nothing ​ounce(s) of red paint. Arnie needs  

nothing ​ounce(s) of red paint in​ total, so the​ 32-oz can is  

▼  

enough.

not enough.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Given,

[tex]6+log\frac{3}{2} (\frac{1}{3\sqrt{2} } \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} } ...} }[/tex]

Let,

[tex]x= \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} }\\[/tex]

By this we get

[tex]x=\sqrt{4-\frac{1}{3\sqrt{2} }(x) } }[/tex]

On squaring both sides,

[tex]x^{2} =4-\frac{1}{3\sqrt{2} }(x) } }\\\\x^{2} -4+\frac{x}{3\sqrt{2} } =0\\\\3\sqrt{2} x^{2} -12\sqrt{2} +x=0\\\\x=\frac{-1+\sqrt{1-(-12\sqrt{2})*(3\sqrt{2})*4 } }{2*3\sqrt{2} } \\\\x=\frac{-1+\sqrt{289} }{6\sqrt{2} } \\\\x=\frac{-1+17}{6\sqrt{2} } \\\\x=\frac{8}{3\sqrt{2} }[/tex]

Now,

[tex]6+log\frac{3}{2} [\frac{1}{3\sqrt{2} } *\frac{8}{3\sqrt{2} } ]+log\frac{3}{2} *[\frac{8}{9*2} ]\\\\6+log\frac{3}{2}(\frac{4}{9} )\\\\6-log\frac{3}{2}(\frac{9}{4} )\\\\6-log\frac{3}{2} (\frac{3}{2})^2 \\\\6-2=4[/tex]

[tex]\sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{\cdots}}}}[/tex]

Starting from the identity

[tex](x - y)^2 = x^2 - 2xy + y^2[/tex]

take the positive square root on both sides.

[tex]x - y = \sqrt{x^2 - 2xy + y^2}[/tex]

Note that we must have [tex]x\ge y[/tex]. Rewrite the radicand and substitute [tex]x-y[/tex].

[tex]x - y = \sqrt{x^2 - xy - y (x - y)} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}}} \\\\ ~~~~ \vdots \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{\cdots}}}}[/tex]

Let [tex]y=\frac1{3\sqrt2}[/tex]. Solve for [tex]x[/tex].

[tex]x^2 - \dfrac x{3\sqrt2} = 4 \\\\ x^2 - \dfrac x{3\sqrt2} + \dfrac1{72} = \dfrac{289}{72} \\\\ \left(x - \dfrac1{6\sqrt2}\right)^2 = \dfrac{289}{72} \\\\ x - \dfrac1{6\sqrt2} = \pm \dfrac{17}{6\sqrt2} \\\\ x = \dfrac{18}{6\sqrt2} \text{ or } x = -\dfrac{16}{6\sqrt2} \\\\ x = \dfrac3{\sqrt2} \text{ or } x = -\dfrac8{3\sqrt2}[/tex]

Take the positive solution to ensure [tex]x>y[/tex]. Then the infinitely nested root expression in the logarithm converges to

[tex]x - y = \dfrac3{\sqrt2} - \dfrac1{3\sqrt2} = \dfrac{4\sqrt2}3[/tex]

and the overall expression has a value of

[tex]6 + \log_{\frac32} \left(\dfrac1{3\sqrt2} \times \dfrac{4\sqrt2}3\right) = 6 + \log_{\frac32} \left(\dfrac49\right) \\\\ ~~~~ = 6 + \log_{\frac32} \left(\dfrac23\right)^2 \\\\ ~~~~ = 6 - 2 \log_{\frac32} \left(\dfrac32\right) \\\\ ~~~~ = 6 - 2 = \boxed{4}[/tex]

Answer:

X = 6

Step-by-step explanation:

Since the two angles are equal, in order to solve for X, you set the two equal:

40° = (4 + 6x)°

-4      -4

36° = 6x

36°/6 = 6x/6

6 = X

X = 6

Hope this helps!

I left the work too ;)

Answer:

The sequence is the ratio of 4:8, or 16:32. This is because the sequence needs to be divided into 2 different factors in order for it to match. The sequence is...

add 4, add 8, add 16, continue on.

The formula is...

4 * x = sequence

In this case, x is the increasing factor. I substituted it due to the fact that it's a constantly increasing number, not just a straight-up number we can declare.

Answer:

[scale]=[drawing]/[real]-----------> [real]=[drawing]/[scale]

scale=3 cm/ 4 m------> 0.75 cm/m

the dimensions of backyard in the drawing are 9 cm x 6 cm

step 1

find the real dimensions of backyard

for 9 cm

[real]=[drawing]/[scale]

[real]=[9]/[0.75]----------> 12 m

for 6 cm

[real]=[drawing]/[scale]

[real]=[6]/[0.75]----------> 8 m

so

the real dimensions of backyard are 8 m x 12 m

[the area of the real backyard ]=8*12--------> 96 m²

the answer is 96 m²

Answer:

In standard from, the value will be 8.234 * 10^17

Step-by-step explanation:

The answer shown on the screen of the calculator after multiplying is;

8,234 E14

This is same as;

8,234 * 10^14

In the stands from, this will be;

8.234 * 10^3 * 10^14 = 8.234 * 10^17

Answer:

y=-7

Step-by-step explanation:

Simple enough. Slope of zero means that x does not have to be determined. So if you just put the y coordinate in a slope of zero, you should get your answer.

The equation of line is y = -7.

Equation of line is,

                        [tex]y=mx+c[/tex]

Where m is slope.

Given that, slope is 0.

Equation of line become, [tex]y=0*x+c=c[/tex]

And Line passes through the point (5, -7)

Substitute these point,

       [tex]c=-7[/tex]

Hence, equation of line is, [tex]y=-7[/tex]

Learn more:

https://brainly.com/question/17003809

Answer:

[tex] \huge \boxed{c = 4 \sqrt{2} }[/tex]

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

c² = a² + b²

where

c is the hypotenuse

So from the question we have

[tex] {c}^{2} = {4}^{2} + {4}^{2} \\ c = \sqrt{16 + 16} \\ c = \sqrt{32} \: \: \: \: \: \: \: \: \: \\ \\ \\ c = 4 \sqrt{2} \: \: \: \: \: \: \: \: [/tex]

Hope this helps you

Answer:

20705.875

Step-by-step explanation:

Area of a pentagon is 1/2 * P * A  p being the perimeter of the pentagon and a being the apothem.  1/2 * 548.5 * 75.5 equals 20705.875.  I'm almost positive this is correct.  So sorry if it's not.  Have a good day/night!

Answer:

first pic- 1. slope is -2/3, y-inter is 1, y=-2/3x+1

2.slopeis 3/-2, y-inter is -1, y=3/-2x+(-1)

Answer:

second pic- 1. slope is -3/-2, y-inter is 0, y=-3/-2x+0

2. slope is 1/2, y-inter is -1, y=1/2x+(-1)

Answer:

1=false 2=false 3=true 4=true 5=false 6=false

Step-by-step explanation:

Answer:

4.2 team members per day

Step-by-step explanation:

5 + 4 + 2 + 7 + 3 = 21

21/5 = 4.2

An average is the arithmetic mean of a set of observations. The average number of team members who reached their goal per day is 4.2.

An average is the arithmetic mean of a set of observations. it is given by the formula,

[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}[/tex]

As it is given that the Number of team members that reach their goal on the weekdays Monday, Tuesday, Wednesday, Thursday, and Friday are 5, 4, 2, 7, and 3 respectively. Therefore, the average number of team members who reached their goal per day can be written as,

[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}\\\\\\Average = \dfrac{5+4+2+7+3}{5} = \dfrac{21}{5}=4.2[/tex]

Thus, the average number of team members who reached their goal per day is 4.2.

Learn more about Average:

https://brainly.com/question/16967035

Answer:

B

Step-by-step explanation:

The slope is -1, which equals m= -1.

The answer is B.

Answer:

C. All numbers are rational numbers

Step-by-step explanation:

In mathematics, any number that can be stated in fraction form or ratios is said to be a rational number. This simply means that some numbers cannot be written in fraction form and so all numbers are not rational numbers.

Examples of rational numbers include terminating decimals, integers, repeating decimals and the fractions.  

The other non-rational numbers are called irrational numbers, as they cannot be written in fraction form.

Answer:

7

Step-by-step explanation:

y2-y1/x2-x1=  14-0/5-3  14/2=7

A biased sample is best described by:

C. The sample does not accurately represent the population.

It is a common statistics practice, when we want to study something from a population, we find a sample, which is a group of members of this population. The sample has to be representative of the population, that is, it has to involve all of it's groups. If it does not involve all the groups, it is not an accurate representation of the population, and is called biased, hence option C is correct.

More can be learned about sampling at https://brainly.com/question/25122507

78 sit ups in 2 minutes

so

= 78 : 2 sits in 1 minute = 39 sits up per minute

x 5 = 195 sit ups in 5 minutes

Answer:  39 situps per time

Step-by-step explanation:

Step-by-step explanation:

cost of 1 kg of jam = x

cost of 1 kg of butter = y

3x + 2y = 29 .....1

6x + 3y = 54 .....2

.....1 × 2 both sides of equation

6x + 4y = 58 .....3

.....3 - ......2

y = 4

replace y = 4 in 1......

3x + 8 = 29

x = 7

Answer:

1.5 inches

Step-by-step explanation:

18 divided by 12 = 1.5

Answer: D: x/2 = 45; x = 90

Step-by-step explanation:

half of a number is 45:

x/2 = 45

.: x = 90

Your answer is D

Answer:

D

Step-by-step explanation:

Using a geometric sequence, it is found that the missing terms of the table are, respectively, given by:

[tex]243, 1, \frac{1}{81}[/tex]

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

From the table, we get that the common ratio is of [tex]q = \frac{1}{3}[/tex], hence each term is the previous divided by 3, or the next multiplied by 3. Hence, the missing terms are given by:

[tex]3 \times 81 = 243[/tex]

[tex]3 \times \frac{1}{3} = 1[/tex]

[tex]\frac{1}{27} \times \frac{1}{3} = \frac{1}{81}[/tex]

More can be learned about geometric sequences at https://brainly.com/question/11847927

Answer:

55

Step-by-step explanation:

I'm assuming n is the term #..

[tex]f(4) = 3(4)^2+7[/tex]

f(4) = 3 * 16 + 7

f(4) = 48 + 7

f(4) = 55

Function that models the situation is  f(x) = 1/2(x-6)²+2.

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

Given parabola is of concave upward type.

So, the parabola will be of form f(x)=p(x-q)²+r....(1)

As vertices of parabola are (6,2)

So, we can put q=6 and r =2 in (1)

So, (1) becomes f(x) = p(x-6)²+2.....(2)

The y-intercept of the parabola is 20

This means, (2) becomes 20 = p(0-6)²+2

i.e. p = 1/2

So, function will be f(x) = 1/2(x-6)²+2

Therefore, function that models the situation is  f(x) = 1/2(x-6)²+2.

To get more about parabola visit:

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Answer:

  see attached for a graph

Step-by-step explanation:

It looks like you want to plot a graph of the function. For a piecewise function like this one, the effort is divided into pieces. The "or equal to" part of the comparison symbol tells you the end value is included in that interval.

__

For the piece between x=-8 and x=-6, you can find the y-values by evaluating the function for those x-values.

For x = -8: y = -1/2(-8) = 4.

For x = -6: y = -1/2(-6) = 3.

So, the left piece can be plotted by drawing a line segment between points (-8, 4) and (-6, 3).

__

For the piece between x=-6 and x=1, you can do the same thing:

For x=-6: y = -(-6) -3) = 6-3 = 3

For x=1: y = -(1) -3 = -4

So, the right piece can be plotted by drawing a line segment between points (-6, 3) and (1, -4). We notice that (-6, 3) is already the end point of the first piece, so the function is continuous at x=-6. (Sometimes there is a discontinuity between pieces. Not here.)

You can also plot the right piece by recognizing it is a line with a y-intercept of -3 and a slope of -1. That is, point (0, -3) will be on that line, and it will have a "rise" of -1 for each "run" of 1 (to the right).

__

A graph is shown. We have made the pieces different colors, so you can see what they are. And we have plotted a filled dot at (-6, 3) to indicate that point is part of the function definition. (The dot is unnecessary.)

Answer: y = (1/7) x - 2

Step-by-step explanation:

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

The slope of an equation is the change in y over the change in x.

We can see from the image that every time the line increases by 1 in the rise (y), it increases by 7 in the run (x).

Therefore, the slope is 1/7.

The y-intercept of a line is the point at which it intercepts the y-axis.

From the image, we can see that it intersects at the point (0,-2)

Therefore, the slope-intercept form is y = (1/7) x - 2

Take two points

Slope:-

[tex]\\ \sf\longmapsto \dfrac{-1}{-7}=\dfrac{1}{7}=m[/tex]

Equation in point slope form

[tex]\\ \sf\longmapsto y+3=1/7(x)[/tex]

[tex]\\ \sf\longmapsto y=1/7x-3[/tex]

Answer:

2.837%

Step-by-step explanation:

1/2 ×567.375/100

therefore= 2.837%

Answer:

[tex]\frac{1}{a^{7} }[/tex]

Step-by-step explanation:

Use this rule:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

So, this gives you

[tex]a^{-13+6}[/tex]

This equates to:

[tex]a^{-7}[/tex]

However, we cant leave the exponent negative, so we use this formula:

[tex]a^{-b}=\frac{1}{a^b}[/tex]

So, the answer is:

[tex]\frac{1}{a^{7} }[/tex]

Answer:

There is no denominator a^-7

The power is positive 1/a^7

Step-by-step explanation:

Remark

We are not told what the restrictions on the power are. Here are the possibilities.

So I will give the answer to both conditions. You will have to choose.

There is no denominator

That means that The powers are subtracted

Multiply numerator and denominator by a+6

a^- 13 * a^6

=========

a^-6 * a^6

To start a^(-6 + 6) = a^0 which = 1. That is not written, so you are left with a^ (-13 + 6) = a ^ -7

The answer must have a positive power.

Multiply the numerator and denominator by a^13.

numerator

a^-13 * a^13

a^(-13 + 13)

a^0

1

So we are left with 1 in the numerator.

a^-6 * a^13

a^(-6 + 13)

a^7

Answer: what is left is  1/a^7