Solve for the missing value:

One-half of what number is 30?

Answer:

BD = [tex]\sqrt{82}[/tex]

Step-by-step explanation:

calculate BD using the distance formula

BD = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = B (- 4, 6 ) and (x₂, y₂ ) = D (- 3, - 3 )

BD = [tex]\sqrt{(-3-(-4))^2+(-3-6)^2}[/tex]

     = [tex]\sqrt{(-3+4)^2+(-9)^2}[/tex]

     = [tex]\sqrt{1^2+81}[/tex]

     = [tex]\sqrt{1+81}[/tex]

     = [tex]\sqrt{82}[/tex]

     ≈ 9.1 ( to 1 dec. place )

Answer:

9.055385 rounded to 6 decimal places

Step-by-step explanation:

The distance between 2 points in a 2_D Cartesian coordinate can be determined by the distance formula

[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

where [tex](x_1, y_1) \mathrm{\;and\:} (x_2, y_2)[/tex] are the coordinates of the two points

This is also called Euclidean distance between the two points

Here coordinates of B are (-4, 6)  and those of D are (-3, -3)

So distance between them

[tex]d = \sqrt {(-3 - (-4))^2 + (-3 - 6)^2}[/tex]

[tex]= \sqrt {(1)^2 + (-9)^2}[/tex]

[tex]= \sqrt {{1} + {81}}[/tex]

[tex]= \sqrt {82}[/tex]

[tex]= 9.055385[/tex]  rounded to 6 decimal places

Answer:

Stop please. You use brainly for answering and asking questions.

According to the question, to calculate the relationship function model of the given equations which are as follows:

[tex]x=13[/tex] and [tex]y=17[/tex]

And the condition is the function is inverse in nature that means they vary inversely. And it can be represented as:

Equation: [tex]y = \frac{k}{x}[/tex]

[tex]17 = \frac{k}{13}[/tex]

[tex]k = 221[/tex]

Substituting the values to get the final expression:

[tex]y = \frac{221}{x}[/tex]

[tex]xy = 221[/tex]

Substitute the value of 'k' in the original equation. And the final expression is: [tex]xy =221[/tex]

What is function?

In mathematics, function can be defined as an expression or the rule or the law. It defines the relationship between dependent variable and the independent variable.

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[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{\log(2)}{2}+\cfrac{\log(4)}{3}\implies \cfrac{1}{2}\log(2)+\cfrac{1}{3}\log(4)\implies \log(2^{\frac{1}{2}})+\log(4^{\frac{1}{3}}) \\\\\\ \log(2^{\frac{1}{2}})+\log( ~~ (2^2)^{\frac{1}{3}} ~~ )\implies \log(2^{\frac{1}{2}})+\log(2^{\frac{2}{3}})\implies \log( ~~ 2^{\frac{1}{2}}\cdot 2^{\frac{2}{3}}~~) \\\\\\ \log( ~~ 2^{\frac{1}{2}+\frac{2}{3}} ~~ )\implies \log( ~~ 2^{\frac{3+4}{6}} ~~ )\implies \log (~~ 2^{\frac{7}{6}} ~~ )\implies {\LARGE \begin{array}{llll} \log(\sqrt[6]{128}) \end{array}}[/tex]

Answer:

0.0606060606 hope that's right if not I'm sorry

There are 256 ways to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among $4$ people

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

We are given that for bracelet Yellow, green,black  and red

We need to find the number of ways in which

Each person receive any number of bracelet.

Number of peoples=4

If each person receive exactly one bracelet then , the number of ways= 4 x 3 x 2 x 1 = 24

If all bracelet received by one person and other have no bracelet 4 ways

If one person receive 2 bracelet and other two received by any other=

144 way.

If two person gets  two bracelet each and other two have no bracelet= 36 ways

Same, one person received three bracelet and one received by any of them =48 ways

So Total number of ways=24+4+144+48+36=256 ways

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odd Answer:

make icecubes then drop them in hydrochloric acid

Step-by-step  Step-by-step  Step-by-step Step-by-step explanation

Answer:

1.954

Step-by-step explanation:

4 is the thousandth and we wouldn’t round up because of 1

Answer: 1.954

1.9541 is to low to round up to the thousandths so it needs to be rounded down, giving the answer 1.954.

Answer: A. 18.32

B. 20

C. 31.16

Step-by-step explanation:

2.29 times 8=18.32 dollars spent on goodie bags

160 divided by 8=20 dollars per hour

160+18.32=178.32

1209.48-178.32= 31.16 more than what was spent in parts a and b.

Answer:

See below

Step-by-step explanation:

Lindsey height = 190 + 130 m       ( m = minutes)

Eduardo height = 240 m

Equate them

190 + 130 m  = 240 m

190 = 110 m

190/ 110 =  1  8/11 minutes  after Eduardo starts

Answer:

Kinetic energy = 2500 J

Step-by-step explanation:

To calculate the kinetic energy of an object, we can use the following formula:

[tex]\boxed{E_k = \frac{1}{2}mv^2}[/tex],

where:

[tex]E_k[/tex] = kinetic energy

m = mass of the object

v = speed of the object

In this question, we are told that Carlo's mass is 50 kg and his speed is 10 m/s. Using this information and the formula above, we can calculate Carlo's kinetic energy:

[tex]E_k = \frac{1}{2} \times 50 \times (10)^2[/tex]

     [tex]= \frac{1}{2} \times 50 \times 100[/tex]

     [tex]= \bf 2500 \: J[/tex]

Therefore, Carlo's kinetic energy is 2500 J.

The percentage of decay for the exponential function: y = 104(2.05) x is 105%.

This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is 2.05 which is 1.05 than 1, representing growth.

The formula for exponential decay is y=a(1-r)x.

r is the decay rate, expressed as a decimal.

In this case, r = 2.05 - 1 = 1.05 which represents 105%.

Therefore, the percentage of decay for the exponential function is 105%.

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An inverse function is one that reverses the action of another function.

The value of this function is y = 0.2.

Inverse operations are mathematical manipulations in which one operation reverses the action of the other, such as addition and subtraction, multiplication and division. In most cases, the inverse of a number is its reciprocal, i.e. [tex]x ^{- 1[/tex] = 1 / x. A number and its inverse (reciprocal) product equals one.

An inverse function is one that reverses the action of another function. A function g is the inverse of a function f if and only if y = f(x) and x = g. In other words, using f and then g is equivalent to doing nothing.

Let the given function be f(x) = 10x - 10

substitute the value of x = 0.2, then we get

f(0.2) = 10(0.2) - 10

simplifying the above equation be

f(0.2) = -8

y = 1/10(-8) +1

y = 0.2

Therefore, the value of y = 0.2.

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Answer:

(2, 1 )

Step-by-step explanation:

2x + 3y = 7 → (1)

3x + 2y = 8 → (2)

multiplying (1) by 3 and (2) by - 2 and adding will eliminate x

6x + 9y = 21 → (3)

- 6x - 4y = - 16 → (4)

add (3) and (4) term by term to eliminate x

0 + 5y = 5

5y = 5 ( divide both sides by 5 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

2x + 3(1) = 7

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 1 )

Answer:

250

Step-by-step explanation:

Take 56 away from 306

306 - 56

=250

KL = LM                         To find the measures of KL

8x-5 = 6x+3                

-6x      -6x                               8(4) - 5

___    ___                                32 - 5

2x - 5 = 3                                   27

   +5    +5

   __    __                        To find the measure of LM

2x = 8                                        6(4) + 3

---   ---                                         24 + 3

x = 4                                               27

Based on the logical fallacy given by saying that they can either go to the amusement park or the library, the category is False dilemma.

A False dilemma is a logical fallacy where the speaker makes it seem as though there are no other options to be considered. The possibility of there being other options is therefore ignored.

In the above thought, the speaker says that they can either go to the amusement part or to the library. They then pick the library because the amusement park is too expensive.

This is a logical fallacy because there were other places they could have gone to that were not even considered.

In conclusion, the statement above that presents only two choices of places to go which were the library or the amusement park is an example of a false dilemma.

Rest of the question:

Identify the logical fallacy in the given statement.

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Answer:

Two and three

Step-by-step explanation:

Two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.

The two given rational numbers are −7/2 and 4/3.

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

Now, two rational numbers between −7/2 and 4/3 can be found as follows:

Make denominators the same by taking the LCM of denominators.

LCM of 2 and 3 is 6.

Change denominators of both the rational numbers to 6 by multiplying the same number by numerator and denominator.

So, the rational numbers become −21/6 and 8/6.

Now, two rational numbers between −21/6 and 8/6 are -20/6 and 7/6.

Therefore, two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.

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Answer:$43.70

Step-by-step explanation:

120−54.67−13.49−8.14

=$43.70

Answer:

43.7

Step-by-step explanation:

120-54.67-13.49-8.14=43.7$

The nth term of the sequence is 2n + 1

The formula known as the nth term allows us to locate any term in a series. The letter n stands for number. By changing the term number's value, we can create a series that uses the nth term (n).

The sequence 3,5,7,9.....

n =1

3 = 1 + 2

3 = 1 + (2×1)

n = 2

5 = 1 + 4

5 = 1 + (2×2)

n = 3

7 = 1 + 6

5 = 1 + (2×3)

n = 4

9 = 1 + 8

9 = 1 + (2×4)

9 = 1 + 8

Therefore, the expression for the Nth is 1+ 2n or 2n + 1

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Answer:

[tex] \large \bf \implies{(6,10)}[/tex]

Step 1) : Solve the inequality

[tex] \bf \longrightarrow{8 \leqslant 2m - 4 < 16}[/tex]

Separate compound inequalities into system of inequalities

[tex] \begin{cases}2m - 4 \geqslant 8 \\2m - 4 < 16\end{cases}[/tex]

[tex]1) \: \: \: \: \: \large\boxed{ \tt2m - 4 \geqslant 8}[/tex]

[tex] \bf \longrightarrow2m \geqslant 8 + 4[/tex]

[tex] \bf \longrightarrow2m \geqslant 12[/tex]

[tex]\bf \longrightarrow \: m \geqslant \frac{12}{2} [/tex]

[tex]\bf \longrightarrow \: m \geqslant 6[/tex]

[tex]2) \: \: \: \: \: \large \boxed{ \sf2m - 4 < 16}[/tex]

[tex]\bf \longrightarrow2m < 16 + 4[/tex]

[tex]\bf \longrightarrow2m < 20[/tex]

[tex]\bf \longrightarrow \: m < \frac{20}{2} [/tex]

[tex]\bf \longrightarrow \: m < 10[/tex]

[tex] \pink{ \rule{7cm}{0cm}}[/tex]

[tex]\bf \longrightarrow \: m \geqslant 6 \: and \: m < 10[/tex]

[tex]\bf \longrightarrow \boxed{ \sf6 \leqslant m < 10}[/tex]

Step 2) : Graph on a number line attached above

Step 3) : Express solution set in interval notation

[tex]\bf \longrightarrow {\boxed {\underline {\underline{{( \bold{6,10)}}}}}}[/tex]

Answer:

the answer

Step-by-step explanation:

you got to write the answer in the blank boxes

well, let's start like the crab, from the back, what would the amount be after 10 years, with a 10.5% annual rate, compounding annually of course.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 10.5\%\to \frac{10.5}{100}\dotfill &0.105\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=750\left(1+\frac{0.105}{1}\right)^{1\cdot 10} \implies A=750(1.105)^{10}\implies \boxed{A \approx 2035.56}[/tex]

when will it double?  well, hmmm 750 doubled will be 1500, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 10.5\%\to \frac{10.5}{100}\dotfill &0.105\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years \end{cases}[/tex]

[tex]1500=750\left(1+\frac{0.105}{1}\right)^{1\cdot t} \implies \cfrac{1500}{750}=(1.105)^t\implies 2=1.105^t \\\\\\ \log(2)=\log(1.105^t)\implies \log(2)=t\log(1.105) \\\\\\ \cfrac{\log(2)}{\log(1.105)}=t\implies 6.94\approx t\qquad \textit{about 6 years and 344 days}[/tex]

'x' in each expression is as follows:

So, the value of 'x' in each expression:

Therefore, 'x' in each expression is as follows:

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Answer:

Part A

Plan 1

33

Plan 2

0.05x+16

0.05x+16=33

0.05x=17

17/0.05=340

341 calls would be enough.

Part B

AN easy way of doing this is by setting the equations equal to each other and then adding a variable to one side that would be the amount of calls made on plan B. Once you get rid of the initial price of 16 dollars, then you have 17 dollars to be set equal to plan B. You divide 17 by 0.05, which gives you 340, meaning that to make both plans equal to each other, you would have to make 340 calls. To make Plan 1 more economical, you would have to add 1 more call to set plan 2 0.05 cents more than Plan 2.

Step-by-step explanation:

The correct was done by Jason

Geometric construction is a process of constructing geometric figures using geometric tools such as a straightedge (ruler), a compass, and a pencil.

Given:

We have some sequence to construct an equilateral triangle

So, Jason are more relatable in constructing an equilateral triangle.

1. Use a compass to draw circle O

2. Use a straightedge to draw a diameter of the circle. Label the endpoints P and S.

3. Without changing the compass width draw a full circle centered at S

4. Label the points of intersection of the two circles R and Q

5. Use a straightedge to draw segments joining points P, Q, and R to form the equilateral triangle PQR.

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Mackenzie can find the amount of flour used by using subtraction. She should subtract the flour left in the bag from 10 pounds.

Subtraction is one of the four basic mathematical operations.

It is used to calculate the amount left after a quantity is reduced.

When two variables are subtracted we use the following notation '-' .

Let us consider two variables x and y such that x is subtracted from y then mathematically it is denoted by y - x .

Mackenzie used some flour to bake bread. To calculate the amount she used from 10 pound bag , first she will have to find the amount of flour left in the bag.

Let a pounds of flour is left (a<10).

So to calculate the amount of flour used by her we simply subtract a from 10 pound.

Hence flour left is (10 - a) pounds.

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