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Answer:

x = 1

Step-by-step explanation:

[tex] {7}^{(4x - 6)} = \frac{1}{49} \\ \\ \implies {7}^{(4x - 6)} = \frac{1}{ {7}^{2} } \\ \\ \implies {7}^{(4x - 6)} = {7}^{ - 2} \\ \\ \implies \: 4x - 6 = - 2 \\ \\ \implies \: 4x = 6 - 2 \\ \\ \implies \: 4x = 4 \\ \\ \implies \: x = \frac{4}{4} \\ \\ \implies \: x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Using Definition of Logarithm

7 ^(4x−6) = 1/49

​Use the rules of exponents and logarithms to solve the equation.

7 ^(4x−6) = 1/49

​Take the logarithm of both sides of the equation.

log(7^4x-6) = log(1/49)

The logarithm of a number raised to a power is the power times the logarithm of the number.

(4x-6)log(7) = log(1/49)

Divide both sides by log(7).

4x-6 = log(1/49)/log(7)

​By the change-of-base formula log(a)/log(b) = log(small b under) (a).

4x-6 = log(small 7 under) (1/49)

Add 6 to both sides of the equation.

4x=−2−(−6)

Divide both sides by 4.

x = 4/4 which is the same as x = 1

​

Answer:

y=6

Step-by-step explanation:

When you put the points on a plane, you can see it is a horizontal line, therefore the slope is 0

Remember that 0 times any other number is 0

So, instead of having y=0x+6 you can simplify the 0x and you have y=6

Answer:

1.3

Step-by-step explanation:

To find what x equals, you need to first divide by 48 and 37.

This is because that x is being multiplied by 37.

48 ÷ 37 = 1.297.......

The 97 in 1.297 is repeating and goes on forever.

Rounding the the nearest tenth would create the number 1.3 as the correct answer.

Answer:

120

Step-by-step explanation:

V = lwh

l= 6

h= 4

w= 5

v= 5.4.6

= 120

Answer: -1

Step-by-step explanation:

Answer:

5 : 7

Step-by-step explanation:

Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7

Answer:

5:7

Step-by-step explanation:

The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7

Answer:

The answer is 4,224

Step-by-step explanation:

hope this helpss

Answer:

949

Step-by-step explanation:

just take ahalf times base times height then multiply by 4 to get the two sides then multiply the base rectangle then multiply the side rectangle and multiply ut by two and add to get the answer

Answer:c

Step-by-step explanation:

Answer:= The exponent is 12

Step-by-step explanation:(9.1 × 10^9)(7.5 × 10^2)

When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents

(a* 10^b) (c* 10^d) = ac * 10^(b+d)

(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)

                                                =68.25 * 10^11

But this is not proper scientific notation.  We can only have 1 number in front of the decimal.  We need to move the decimal 1 place to the right.  That adds 1 to the exponent.

=68.25 * 10^11  = 6.825 * 10^(11+1)

                           = 6.825 * 10^12

The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:

[tex](9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}[/tex](the exponent is 12)

Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

Learn more about scientific notation here:

https://brainly.com/question/3112062

All answers are listed below:

The area of the parallelogram (A), in square feet, is equal to the product of the base (b) and the height (h), both in feet. By applying the rigid transformation of dilation on each side, we have the following formula:

A = k² · b · h   (1)

Where k is the scale factor.

And we can derive a scale factor by comparing two areas:

[tex]k = \sqrt{\frac{A}{A_{o}} }[/tex]   (2)

Where [tex]A_{o}[/tex] is the original area, in square feet.

If we know that [tex]A_{o} = 10\,ft^{2}[/tex], then the scales factors are shown below:

For A = 0 ft², the scale factor is 0.

For A = 40 ft², the scale factor is 2.

For A = 160 ft², the scale factor is 4.

For A = 360 ft², the scale factor is 6.

For A = 640 ft², the scale factor is 8.

To learn more on scale factors, we kindly invite to check this verified question: https://brainly.com/question/22312172

dilated area in square feet (x) scale factor (y)

0 0

40 2

160 4

340 6

640 8

Answer:

2:3 = 5

Red counters

2÷5×20

= 8

- therefore there are 8 Red counters

Yellow counters

3÷5×20

= 12

-therefore there are 12 yellow counters

Answer:

y=x-6

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i hope this helped

Answer:

(x = 0,y = 0),(x = 1, y = 5),(x= 2, y =10)

Step-by-step explanation:

the rule is to multiply x by 5.

when x = 0, y =5(0) = 0

when x = 1, y =5(1) = 5

when x = 2, y =5(2) = 10

Hope this helps!

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0

5

10

A table can be completed by plugging x-values into an equation or by graphing.

Plug in x-values

First, plug 0 into the equation to find the first y-value.

Next, plug in 1 for x

Finally, plug in 2

Additionally, each of these y-values increases by 5. So, once we found the first y-value, 0, we can just add 5 to find the next y-values.

Graphing

Also, you can use a graph to find the missing values. The y-intercept is 0 and the slope is 5. Using this information you can graph the equation. Then, find the x-values on the graph and match these values to y-values.

Using it's concept, it is found that there is a 0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Starting at floor 15, these are the following outcomes that result in the elevator being at floor 18 in 5 seconds, each with [tex]0.5^5[/tex] probability:

5 outcomes, hence the probability is:

[tex]p = 5 \times (0.5)^5 = 0.1563[/tex]

0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

B) 5.375

Step-by-step explanation:

The circles are half the square so their diameter will be half the length of the square

d=5/2=2.5

the formula is

area of shaded portion-area out unshaded portion

area of a square= l×l

5×5=25

area of a circle=πr^2

but since there are 4 circles it becomes 4πr^2

r=d/2=2.5/2=1.25

area of unshaded portion= 4×3.14×1.25×1.25

=19.625

area of leftover=25-19.625

= 5.375

The sales tax is 6.7% from $498.00 -> The sales tax = 498 x 6.7% = $33.366.

The total cost of the trampoline = 498 + 33.366 = $531.366

The recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000

Given the following parameters

a is the initial values = 30,000
If the amount doubles each year then b = 2

Let n be the number of years such that if the numbe r keeps doubling then:

an = 2n

First term a = 30000 (iniital value)

Hence the recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000

Learn more on recursive rule here: https://brainly.com/question/2059043

Answer:

The third angle is 104

Step-by-step explanation:

their for first angle is x and second angle of a triangle is 52 more than the first angle x×52 and again The third angle is two times the first and x=52×2×= 104

Answer:

5

Step-by-step explanation:

range is biggest number minus smallest number.

First arrange the numbers from least to greatest.

4, 4, 5, 6, 8, 9, 9

Subtract the biggest number, 9, from the smallest number, 4.

9 - 4 = 5

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

Answer:

i think its 100feet away when u look 20°

Answer:

345 [tex]cm^{3}[/tex]

Step-by-step explanation:

The volume of 2 rectangular boxes :
7 × 5 × 3 + 5 × 7 × 3 = 210 [tex]cm^{3}[/tex]
The volume of given prism
210 + [(10 - 7 ) × 3 × (5 × 3) ]= 345 [tex]cm^{3}[/tex]

Answer:

x= 5× 17

= 85milimetres

y= 65÷ 5

=13milimetres

Answer:

Angle O is 64. m is 16.7 rounded to the nearest tenths place. n is 22.4 to the nearest tenths place.

Step-by-step explanation:

Angle O- 180-(26+90)

M- COS(26)=n/15

N- COS(26)=n/15^2+15^2=c^2

Answer:

i}. Mango only (no(M))=30

ii}.Orange (n(O))= 20

Answer:

Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8

Step-by-step explanation:

1. Sort the numbers in numerical order (like 1, 2, 3, etc.)

2. Find the number that is in the middle

3. Find all the quartiles by finding the median of the lower and upper halves of the list

4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR

Answer:

Step-by-step explanation:

Answer:

2x - y = - 13

Step-by-step explanation:

y - 5 = 2(x + 4) ← distribute parenthesis by 2

y - 5 = 2x + 8 ( add 5 to both sides )

y = 2x + 13 ( subtract 2x from both sides )

- 2x + y = 13 ( multiply through by - 1 )

2x - y = - 13