Please solve! And explanation!

Please Solve! And Explanation!

Answers

Answer 1

A fraction is a way to describe a part of a whole. The value of x is 6.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The value of x can be written as,

[tex]\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{1}{\dfrac{x+1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{x}{x+1}} = \dfrac{7}{13}\\\\\\\dfrac{1}{\dfrac{x+1+x}{x+1}}= \dfrac{7}{13}\\\\\\\dfrac{x+1}{x+1+x}= \dfrac{7}{13}\\\\[/tex]

13x + 13 = 7x + 7 + 7x

13x + 13 = 14x + 7

x = 6

Hence, the value of x is 6.

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Related Questions

what is the angle between a=7i+3j and b=4i-j​

Answers

[tex]a\cdot b=(7)(4)+(3)(-1)=25\\\\|a|=\sqrt{7^{2}+3^{2}}=\sqrt{58}\\\\|b|=\sqrt{4^{2}+(-1)^{2}}=\sqrt{17}\\\\\cos \theta=\frac{25}{\sqrt{58}\sqrt{17}}\\\\\theta=\cos^{-1} \left(\frac{25}{\sqrt{58}\sqrt{17}} \right) \approx 37.235^{\circ}[/tex]


If g(x) is the inverse of f(x), what is the value of f(g(2))?
0-6
O-3
02
O 5

Answers

Answer:

2

Step-by-step explanation:

When a function and its inverse are composed, the output is equal the input.

Complete the tasks to subtract the polynomials vertically. (1.3t3 0.4t2 – 24t) – (0.6t2 8 – 18t) what is the additive inverse of the polynomial being subtracted?

Answers

The difference of the polynomials is [tex]1.3t^{3}-0.2t^{2}-6t-8[/tex] and the additive inverse of the polynomial being subtracted is [tex]-0.6t^{2} +8+18t[/tex].

The given polynomials are [tex](1.3t^{3}+0.4t^{2} -24t )[/tex] and [tex]0.6t^{2} +8-18t[/tex].

We need to find the additive inverse of the polynomial being subtracted.

What is additive inverse?

In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. This number is also known as the opposite, sign change, and negation.

Now, [tex](1.3t^{3}+0.4t^{2} -24t )-(0.6t^{2} +8-18t)[/tex]

[tex]=1.3t^{3}+0.4t^{2}-0.6t^{2}-24t+18t-8[/tex]

[tex]=1.3t^{3}-0.2t^{2}-6t-8[/tex]

The additive inverse of the polynomial being subtracted is [tex]-0.6t^{2} +8+18t[/tex].

Therefore, the difference of the polynomials is [tex]1.3t^{3}-0.2t^{2}-6t-8[/tex] and the additive inverse of the polynomial being subtracted is [tex]-0.6t^{2} +8+18t[/tex].

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HELP ME PLEASEEE

Beatrice writes down every expression that appears in this problem set, one after the other, linking them with
+ signs between them. She is left with one very large expression on her page. Is that expression a polynomial expression? That is, is it algebraically equivalent to a polynomial?
What if she wrote - signs between the expressions instead?
What if she wrote × signs between the expressions instead?

Answers

Is that expression a polynomial expression?

yes because they are terms linked into one expression.

What if she wrote - signs between the expressions instead?

it would still be considered a polynomial.

What if she wrote × signs between the expressions instead?

no because it would be one huge term

William can pack 60 toys in 4 hours. Find the unit rate with which he packs toys.
O14 toys/hour
O13 toys/hour
15 toys/hour
16 toys/hour

Answers

the answe is 16 toys/hour
Answer is 15 toys/ hour
Reason

60 toys. X toys. Divide by 4 = 15
_______. ________
4 hours. 1 hour. Divide by 4 = 1

what is the explict formula for this sequence 5, 10, 20, 40, 80, 160, ...

Answers

Step-by-step explanation:

as we see in the sequence, each term is twice of the previous term.

we mark the Nth as a(N), then:

a(N)=2a(N-1)

Answer:

[tex]a_{n}[/tex] = 5[tex](2)^{n-1}[/tex]

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

10 ÷ 5 = 20 ÷ 10 = 40 ÷ 20 = 80 ÷ 40 = 2

this indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = 2 , then

[tex]a_{n}[/tex] = 5 [tex](2)^{n-1}[/tex]

I need help with this please

Answers

2534+?  but its not that clear cant understand it

Giving my all points away! What is the Value of log5512, when log 2 = 0.3010 and log 3 = 0.4771?

Answers

[tex]\\ \rm\Rrightarrow log_5512[/tex]

[tex]\\ \rm\Rrightarrow log_52^9[/tex]

[tex]\\ \rm\Rrightarrow 9log_52[/tex]

Use change of base

[tex]\\ \rm\Rrightarrow 9\dfrac{log2}{log5}[/tex]

[tex]\\ \rm\Rrightarrow 3.876[/tex]

If your question is something different let me know by which I can change my answer

Answer:

3.876  (3 d.p.)

Step-by-step explanation:

Given:

[tex]\log_{10}2=0.3010[/tex][tex]\log_{10}3=0.4771[/tex]

Please note:  The question gives two values of log base 10 which should be used to help find the value of [tex]\log_5512[/tex]

Log Law:  Change of Base

[tex]\log_ba=\dfrac{\log_xa}{\log_xb}[/tex]

Change the given expression to log base 10:

[tex]\implies \log_5512=\dfrac{\log_{10}512}{\log_{10}5}[/tex]

Replace 512 with 2⁹, and 5 with 10/2:

[tex]\implies \dfrac{\log_{10}{2^9}}{\log_{10}\frac{10}{2}}[/tex]

[tex]\textsf{Apply the Power Log law}: \quad \log_ax^n=n\log_ax[/tex]

[tex]\implies \dfrac{9\log_{10}{2}}{\log_{10}\frac{10}{2}}[/tex]

[tex]\textsf{Apply the Log Quotient law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay[/tex]

[tex]\implies \dfrac{9\log_{10}{2}}{\log_{10}10-\log_{10}2}[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies \dfrac{9\log_{10}{2}}{1-\log_{10}2}[/tex]

Given:

[tex]\log_{10}2=0.3010[/tex]

Substitute this into the expression and simplify:

[tex]\implies \dfrac{9(0.3010)}{1-0.3010}[/tex]

[tex]\implies \dfrac{2.709}{0.699}[/tex]

[tex]\implies 3.876\:(\sf 3\: d.p.)[/tex]

please I need step by step solution of this question​

Answers

The value of the expression will be 2. Then the correct option is B.

The complete question is given below.

What is the limit?

The value that approaches the output for the given input value. Limits are a very important tool in calculus.

The expression is given below.

[tex]\rightarrow \displaystyle \lim_{x \to 0}\dfrac{\cos x \ \tan 2x}{x}[/tex]

Then the value of the expression will be

Applying L'hospital rule, then we have

[tex]\rightarrow \displaystyle \lim_{x \to 0}\dfrac{\dfrac{d}{dx} \cos x \ \tan 2x}{\dfrac{d}{dx}x}\\\\\\\\\rightarrow \displaystyle \lim_{x \to 0}\dfrac{2 \cos x \sec^2 2x - \sin x \ \tan 2x}{1}\\[/tex]

Put the limit, then we have

⇒ 2 × cos 0 × sec² (2 × 0) – sin 0 × tan (2 × 0)

⇒ 2 × 1 × 1 – 0

⇒ 2

Then the correct option is B.

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Find the measure of ZDCF. C F mDF = 49 G E MEG = 127 Find the measure of angle DCF​

Answers

Answer:

Step-by-step explanation:

Comment

If two secants intersect outside a circle (as these two do) then the angle at which they meet is 1/2 the difference between the intersected arcs. Put much simpler <DCF = 1/2 (arc EG - arc DF)

Givens

Arc EG = 127

Arc DF = 49

Solution

<DCF = 1/2(127 - 49)

<DCF = 1/2(78)

<DCF = 39

What is an important similarity between the uniform and normal probability distributions?

Answers

The important similarity between the uniform and normal probability distributions is that the mean and the median of both distributions are equal

How to determine the important similarity?

In a normal probability distribution, we have:

Mean = Median

In a uniform probability distribution, we have:

Mean = Median

This means that:

In both distributions, the mean and the median are equal

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Drag each response to the correct location on the table. Each response can be used more than once, but not all responses will be used.
Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.
8.9%
250 89%
W
40 =
Decay
250 (0.89)
Initial Value::
Growth or Decay::
Growth/Decay Rate::
11%
F
40
Growth
250 =
111%
40(1.11)
Initial Value:
Growth or Decay:
Growth/Decay Rate::

Answers

The equation is y = 250(0.89)^x and the decay rate is 11%.

How to calculate the values?

The initial value will be:

= 250(0.89)^x

= 250(0.89^0)

= 250

The decay rate will be:

= 1 - 0.89

= 0.11

= 11%

In conclusion, the equation is y = 250(0.89)^x and the decay rate is 11%.

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Measure the height of the palm tree indirectly using a mirror that is placed on the ground a certain distance away from the tree. The distance from the
mirror to the base of the palm tree is 2.5 m and the distance from the mirror to the person's foot is 0.5 m. The person is 1.78 m tall.

Answers

Answer:

  (b)  8.9 m

Step-by-step explanation:

The mirror ensures that angle 1 is congruent to angle 2, so the triangles in the diagram are similar. The ratios of height to mirror distance are proportional.

__

setup

The height of the object is proportional to its distance from the mirror, so we have ...

  (tree height)/(tree-to-mirror) = (person height)/(person-to-mirror)

  (tree height)/(2.5 m) = (1.78 m)/(0.5 m)

solution

Multiplying this proportion by 2.5 m, we find ...

  tree height = (2.5 m)(1.78/0.5) = 8.9 m

The height of the palm tree is 8.9 meters.

Question 2(10 pos

A football quarterback has 2 more chances to throw a touchdown before his team is forced to punt the ball. He mates the receiver the first trew of the time When his fest throw is incomplete he misses the receiver on the second throw 10% of the tame What is the probability of not throwing me ball to a receiver on either throw?

Answers

The chance of not throwing the ball to a receiver on either throw is 0.0375, or 3.75 per cent.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

This is event A when he misses the first throw. P(A) = 25%, or 0.25 Because event B takes place only after event A. When he misses on the second throw, event B occurs. P(B/A) = 15% or 0.15

P(A[tex]\cap[/tex]B) = P(A) P(B/A) P(A[tex]\cap[/tex]B)

P(A[tex]\cap[/tex]B) = (0.25)x(0.15) P(ANB)

P(A[tex]\cap[/tex]B) = 0.0375

Therefore the chance of not throwing the ball to a receiver on either throw is 0.0375, or 3.75 per cent.

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Point T is located at (6, –2) and point S is located at (1, 13). What are the coordinates of the point that is `\frac{4}{5}` of the way from T to S?

Answers

The coordinates of the point that is 4/5 of the way from T to S is (2,10)

How to determine the coordinates of the point?

The given parameters are:

T = (6,-2)

S = (1,13)

Location = 4/5

The location 4/5 means

Ratio, m : n = 4 : 1

The coordinate is then calculated as:

[tex](x,y) = \frac{1}{m +n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]

This gives

[tex](x,y) = \frac{1}{4 +1} * (4 * 1 + 1 * 6 , 4 * 13 + 1 * -2)[/tex]

Evaluate

[tex](x,y) = \frac{1}{5} * (10 , 50)[/tex]

This gives

(x,y) =  (2,10)

Hence, the coordinates of the point that is 4/5 of the way from T to S is (2,10)

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Emily invests £150,000 in a savings account offering a compound interest rate of 2.4% per annum for 4 years. Work out the amount of interest Emily earns over 4 years. Emily invests £ 150,000 in a savings account offering a compound interest rate of 2.4 % per annum for 4 years . Work out the amount of interest Emily earns over 4 years .​

Answers

14926.74417

Step-by-step explanation:

Based on the given conditions, formulate:

150000 ((2.4% +1)4-1)

Evaluate the equation/expression: 14926 14926.74417 get the result:14926.74417 Answer: 14926.74417

if it is helpfulthe mark me brainliest pls

A car manufacturer has parked some new cars in 2 car parks.In the first car park there are 60 cars in the ratio 1 red car for every 2 blue cars and 3 silver cars.In the second car park there are 80 cars in the ratio 2 blue cars for every 3 red cars and 5 silver cars.
11. How many red cars are there altogether?
12.How many blue cars are there altogether?
13.How many silver cars are there together?
(PLS BE FAST!!)

Answers

The number of red car altogether is 34

The number of blue cars altogether is 36

The  number of silver car altogether 70

How to use the ratio to find the number of cars?

The car manufacturer has parked some cars in 2 car parks .

The first car park has 60 cars.

In the ratio 1 :2:3

Therefore,

red car = 1 / 6 × 60 = 10 cars

blue car = 2 / 6 × 60 = 20 cars

Silver car = 60 - 30 = 30 cars

The second car park has 80 cars.

The ratio are

In the ratio 3:2 5

Therefore,

red cars = 3 / 10 ×80 = 24

blue cars = 2 / 10 × 80 = 16

silver cars = 5 / 10 × 80 = 40

Therefore,

The number of red car altogether is 24 + 10 = 34 red car

The number of blue cars altogether is 20 + 16 = 36 blue cars

The  number of silver car altogether is 30 + 40 = 70 silver cars

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Describe and correct the error in solving the absolute value inequality.

Answers

The steps are shown below: -5<x<1

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

|x +2 | <-3

If we take the module is positive,

x+2 -2 < -3-2

x < -5

If we take the module is negative,

-( x+2)  < -3

-x -2 < -3

-x -2 +2 < -3 +2

-x< -1

x>1

Combining the inequalities,

-5<x<1

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What is m∠C?

Enter your answer in the box.

Answers

Answer:

60

Step-by-step explanation:

Total degree of triangle interior angles is 180

So x+2x+3x=180

6x=180

x=30

Measurement of angle C is 2x which is 60 degree

In the diagram below, AB is parallel to Co What is the value of y?

Answers

Answer:

D

Step-by-step explanation:

interior angles = 180

180-72

x= help me please thank u :)​

Answers

Step-by-step explanation:

the product of segments theorem :

products of segments of intersecting chords are equal.

the 2 chords helping us are

the "4 + 25" chord.

the "x + x" chord (that connects then outwards to the 20 segment).

so, based on that theorem

4 × 25 = x × x

100 = x²

x = sqrt(100) = 10

halp
What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart color #1fab54, angle, b, end color #1fab54?

Answers

Answer:

D. None of the above.

Step-by-step explanation:

Supplementary angles must add up to 180 degrees.

Complementary angles must add up to 90 degrees.

Vertical angles are opposite of each other.

Hope this helps!

If not, I am sorry.

Please help fast!!!
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.


5 x 2/3 =

Answers

Answer: 3 1/3

Step-by-Step Explanation:

= 5 * 2/3
= 5/1 * 2/3
= (5 * 2)/(1 * 3)
=> 10/3
=> 3 1/3

the answer choices is A. x B. z C. w D.y pls help me, I greatly appreciate all the help I'm getting

Answers

The graphed that represents the new function with the same slope and y-intercept is: graph Y.

What is the Slope and Y-intercept of a Function?

Slope = rise/run along a line.

Y-intercept is the y-value of the point on the y-axis that the line intercepts.

Slope of the function given = rise/run = 2/1 = 2

2 multiplied by 1/2 = 2/2 = 1.

Y-intercept of the given function is: 1

1 increased by 3 units is: 1 + 3 = 4

The slope of graph Y = rise/run = 2/2/ = 1

The y-intercept is also 4

Therefore, the answer is: Graph Y

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Which of the following is equivalent to the logarithmic equation below? in x=3​

Answers

it’s A or x=e^3


on edge, hope that helps :)

Alex defeated 10 gyms today! She started with four hundred and forty coins and now has five hundred and forty coins

Find the Percent of increase

Answers

The percentage increase is 22.72%

How to determine the percentage increase?

The given parameters are:

Initial = 440 coins

Final = 540 coins

The percentage increase is calculated as:

%Increase = (Final - Initial)/Initial * 100%

So, we have:

%Increase = (540 - 440)/440 * 100%

Evaluate the difference

%Increase = 100/440 * 100%

Evaluate the quotient

%Increase = 0.2272 * 100%

Evaluate the product

%Increase = 22.72%

Hence, the percentage increase is 22.72%

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What is the area of the triangle pictured?
A. 612 in2
B. 540 in2
C. 555 in2
D. 531 in2

Answers

Answer:

D. 531[tex]in^{2}[/tex]

Step-by-step explanation:

I suppose these are rectangles and not triangles.

Area of Rectangle = Length x Breadth

Area of Large Rectangle = 21 x 18

= 378[tex]in^{2}[/tex]

Area of Small Rectangle = 17 x 9

= 153[tex]in^{2}[/tex]

Total Area = Area of Large Rectangle + Area of Small Rectangle

= 378 + 153

= 531[tex]in^{2}[/tex]

What value of k makes the equation true? (5a^2n^3(6a^kb)=30a^6b^4

Answers

An equation is formed when two equal expressions. The value of k that makes the equation true is 4.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of k that will make the equation true is,

[tex]5a^2b^3(6a^kb)=30a^6b^4\\\\30\ a^{(2+k)}\ b^{(3+1)} = 30\ a^6\ b^4\\\\30\ a^{(2+k)} \ b^4 = 30\ a^6\ b^4\\\\a^{(2+k)} =a^6\\\\2+k = 6 \\\\ k = 4[/tex]

Hence, The value of k that makes the equation true is 4.

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The two-way table below shows the number of students in a school who like mathematics and/or physics: Like Mathematics Do Not Like Mathematics Total Like Physics 15 20 35 Do Not Like Physics 5 25 30 Total 20 45 65 How many more students like physics than mathematics? 10 15 20 25

Answers

The number of  students like physics more than mathematics is 15 , Option B is the correct answer.

What is a Number ?

A mathematical way of expressing quantity of a substance is called a Number.

Number of students in a school who like mathematics = 20

Number of students in a school who like physics = 35

number of students in a school who like only physics is 20

number of students who like only Mathematics is 5

the number of  students like physics more than mathematics is 20-5 = 15

Therefore Option B is the correct answer.

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Can I get some help with this please?

Answers

Answer:

c =2.5

Step-by-step explanation

1.5×1.5=2.25

2×2=4

4+2.25=6.25

√6.25=2.5

c=2.5

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