Choose the exponential form of the logarithmic equation log4(9x+7)=5.

Answer:

its A

Step-by-step explanation:

The solution is, the correct probability distribution is 1/16.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

Given that,  

spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as

S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}.

If the random variable is “yellow (Y),” let us first find the values that Y can take.

From the sample space given above, we find that Y can take only 3 values 0,1,2

In the sample space of 16 entries, Y occurs 0 times in 9 times

1 time in 6 times and 2 times 1 time

Hence probability = no of favouable outcomes/number in sample space

So

P(Y=0) = 9/16

P(Y=1) = 6/16 = 3/8

P(Y=2) = 1/16

Hence, The solution is, the correct probability distribution is 1/16.

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a = amount that paid 11% profits

b = amount that lost 5% profits

we know that whatever those values are, a + b = 28000.

how much is 11% of "a"? well, (11/100) * a = 0.11a.

how much is 5% of "b"? well (5/100) * b = 0.05b.

[tex]a+b=28000\implies b=28000 - a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{paid~11\%}{0.11a}~~ \stackrel{\stackrel{loss}{\downarrow }}{-} ~~\stackrel{lost~5\%}{0.05b}~~ = ~~\stackrel{overall~paid}{2920} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.11a~~ - ~~0.05(28000-a)}=2920\implies 0.11a+0.05a-1400=2920 \\\\\\ 0.16a-1400=2920\implies 0.16a=4320\implies a=\cfrac{4320}{0.16} \\\\\\ \boxed{a=27000}~\hspace{10em}\boxed{\stackrel{28000-a}{b=1000}}[/tex]

Answer:The more gallons, the more time Hunter spent to fill it.

Step-by-step explanation:

Both increase as they grow.

Answer:

V=180

Step-by-step explanation:

volume of the triangle =b×h

B means that the base of the prism.

to find the base use heron's formula.

and multiple with hight.

s=A+B+C/2

s=5+12+13/2=15

A=root over 15 (15-5)(15-12)(15-13) = 30

V=b×h

V=30×6

V=180

Answer:

The unlimited mileage plan would save money for Lia from 410 miles onwards.

Step-by-step explanation:

Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:

90.25 - 50 = 40.25

40.25 / 0.25 = 161

161 + 250 = 411

Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.

Answer:

Step-by-step explanation:

First of all, you add 1/3 and 4/5, so you get:

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:

That's the sum of 1/3 + 4/5.

Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:

Since 119 and 15 don't have a common factor, so they can't be simplified.

So, the answer is 119/15.

Hope this Helps! :D

Answer:

38 in²

Step-by-step explanation:

5 faces:

front: area = 2*6/2 = 6

back = front = 6

left = 3 * 2 = 6

right = 4*2 = 8

bottom = 6*2 = 12

total = 6 + 6 + 6 + 8 + 12 = 38 in²

Answer:

average = 9

(the third number is the average)

Step-by-step explanation:

If the sum of three numbers is 27, then the average (mean) is the total (27) divided by the number of values (3):

⇒  27 ÷ 3 = 9

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

However, if you want to find the actual numbers:

Let x = first number

Let y = second number

Let z = third number

Given:

Substitute y = 3x  and  z = 2x  into  x + y + z = 27 and solve for x:

⇒ x + 3x + 2x = 27

⇒ 6x = 27

⇒ x = 4.5

    y = 3x  

⇒  y = 3 x 4.5

⇒  y =13.5

    z = 2x

⇒  z = 2 x 4.5

⇒  z = 9

Therefore, x = 4.5  y = 13.5  and z = 9

which means z (the third number) is same value as the average

We have that the  workdone in stretching natural length to is mathematically given as

W=9/2lbft

Question Parameters:

Generally the Hookes equation for the Force   is mathematically given as

F=Kx

Where

3.2lb=2ft*k

Thereofore

k=16

Force becomes

f=kx

f=16x

Hence

[tex]W=8[x^2]^{3/4}_{0}[/tex]

W=9/2lbft

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[tex] \huge\tt\boxed{\tt x \leqslant −20}[/tex]

Step-by-step explanation:

[tex] \looparrowright \sf4x+24 \leqslant −56[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf4x \leqslant −56 - 24[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf4x \leqslant −80[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x \leqslant −80 \div 4[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x \leqslant −20[/tex]

Answer:

for (−4/5)x + 3/10 < 8/10:  solution is x > -5/8

for −4/(5x) + 3/10 < 8/10: solution is x > -8/5

Step-by-step explanation:

I'm not exactly sure if you mean -4 divided by 5x or (-4/5)x, so I've done both! :)

[tex]-\frac{4}{5}x+ \frac{3}{10} < \frac{8}{10}[/tex]

subtract 3/10 from both sides:  [tex]-\frac{4}{5}x < \frac{5}{10}[/tex]

Divide both sides by 4/5:  [tex]-x < \frac{5}{8}[/tex]

Divide both sides by -1 (reverse sign):  [tex]x > -\frac{5}{8}[/tex]

[tex]-\frac{4}{5x}+ \frac{3}{10} < \frac{8}{10}[/tex]

subtract 3/10 from both sides:  [tex]-\frac{4}{5x} < \frac{5}{10}[/tex]

Multiply both sides by 5x:  [tex]-4 < \frac{5}{2}x[/tex]

Divide both sides by 5/2:  [tex]x>- \frac{8}{5}[/tex]

[tex]\\ \tt\longmapsto \dfrac{-4}{5}x+\dfrac{3}{10}<\dfrac{8}{10}[/tex]

[tex]\\ \tt\longmapsto \dfrac{-4}{5}x<\dfrac{5}{10}[/tex]

[tex]\\ \tt\longmapsto -4/5x<1/2[/tex]

[tex]\\ \tt\longmapsto x>-5/8[/tex]

Answer:

#1 Is Yes

#2 is no

#3 is no

#4 is yes

Answer: 4/41?

Step-by-step explanation:

Is that what you wanted?

Or do you need it as a percentage?

Answer:

x=29

Step-by-step explanation:

We know y is 16. We can write 16 instead of y in the equation.

y=x-13

16=x-13

Now we can add 13 to both sides of the equation.

16+13=x-13+13

29=x

x is equal to 29.

Answer:

x = 29

Step-by-step explanation:

since y = 16

16 = x -13

Add 13 to both sides of the equation

16 + 13=x-13+13

Simplify

x = 29

[RevyBreeze]

Answer:

what in the world is this?

Answer:

Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

The range is calculated by subtracting the lowest value from the highest value.
Step-by-step explanation:

hope this helped!

Answer:

It is the number in the middle of a set of numbers arranged in ascending order, it will be easier to find median if the set of given numbers are even if its an odd number, then divide the number by 2.

To find the range subtract the lowest value from the highest value

Step-by-step explanation:

B if not C, with the exponent of the coefficient

The factorization of the trinomial is A = 3 ( x - 2 ) ( x - 5 )

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = 3x² - 21x + 30   be equation (1)

On simplifying , we get

Taking 3 as the common factor of the expression , we get

A = 3 ( x² - 7x + 10 )

A = 3 ( x² - 2x - 5x + 10 )

On factorizing , we get

A = 3 ( x - 2 ) ( x - 5 )

Hence , the expression is A = 3 ( x - 2 ) ( x - 5 )

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[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{10}{6}\rightarrow \dfrac{10\div2}{6\div2}\rightarrow \bf \dfrac{5}{3} \rightarrow 1\dfrac{2}{3}}}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{18}{6}\rightarrow\dfrac{18\div3}{6\div3}\rightarrow \bf \dfrac{6}{2}\rightarrow \dfrac{3}{1}\rightarrow 3}}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{15}{6}\rightarrow \dfrac{15\div3}{6\div3}\rightarrow\bf \dfrac{5}{2}\rightarrow 2 \dfrac{1}{2}}}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:  dddss Ggg. Nj

Step-by-step explanation:

Answer:

5, 22, 16

Step-by-step explanation:

10. t = 5

11. k = 22

12. z = 16

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{7}(x-\stackrel{x_1}{3})[/tex]

Answer:

[tex]y=7x-15[/tex]

Step-by-step explanation:

Given the following question:

Point A = (3, 6) = (x1, y1)
m (slope) = 7

We will find the equation of this line by finding the slope intercept.

[tex]y=mx+b[/tex]
[tex]y=6[/tex]
[tex]m=7[/tex]
[tex]x=3[/tex]
[tex]6=7(3)+b[/tex]
[tex]7\times3=21[/tex]
[tex]21-21=0[/tex]
[tex]6-21=-15[/tex]
[tex]b=-15[/tex]
[tex]y=7x-15[/tex]

Hope this helps.

Answer:

y88 porty forty

YoungBoy

Answer:

x = 52°

y = 128°

Step-by-step explanation:

This is an isosceles trapezoid as the legs are the same length (denoted by the double dashes).

For an isosceles trapezoid, the sets of angles adjoined by parallel lines are equal.  Therefore, for this trapezoid, y = 128 and the two remaining angles are both x.

The interior angles of a trapezoid = 360°

Therefore, x + x + 128 + y = 360

Since we know y = 128:

2x + 128 + 128 = 360

⇒ 2x = 104

⇒ x = 104 ÷ 2 = 52

Answer:

B. They are recorded when owed

Step-by-step explanation:

Hope this helps

Answer:

22 stickers in each box

Step-by-step explanation:

Ling Ling = 587 stickers

Jia = 245 stickers

Therefore, total number of stickers = 587 + 245 = 832

if they gave 40 stickers to their cousin, then

remaining stickers = 832 - 40 = 792

If they put the remaining 792 stickers equally into 36 boxes, then

number of stickers in each box = 792 ÷ 36 = 22