are the two figures similar? if so give the similarity ratio of the smaller figure to the larger figure.
explain why or why not

Step-by-step explanation:

[tex]\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}[/tex]

Use the distributive property to multiply −2 by x+1.

Combine 7x and −2x to get 5x.

Subtract 6x on both sides.

Combine 5x and −6x to get −x.

Add 2 to both sides.

Add 14 and 2 to get 16.

Multiply both sides by −1.

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

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{7x - 2(x + 1) = 6x + 14}[/tex]

[tex]\huge\textbf{DISTRIBUTE 2 WITHIN the}\\\\\huge\textbf{PARENTHESES:}[/tex]

[tex]\mathsf{7x - 2(x) + 2(1) = 6x + 14}[/tex]

[tex]\mathsf{7x - 2x - 2 = 6x + 14}[/tex]

[tex]\huge\textbf{COMBINE the LIKE TERMS (if you}\\\\\huge\textbf{have any):}[/tex]

[tex]\mathsf{(7x - 2x) - 2 = 6x + 14}[/tex]

[tex]\mathsf{5x - 2 = 6x + 14}[/tex]

[tex]\huge\textbf{ADD 2 to BOTH SIDES:}[/tex]

[tex]\mathsf{5x - 2 + 2 = 6x + 14 + 2}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{5x = 6x + 16}[/tex]

[tex]\huge\textbf{SUBTRACT 6x to BOTH SIDES}[/tex]

[tex]\mathsf{5x - 6x = 6x + 16 - 6x}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{-x = 16}[/tex]

[tex]\mathsf{-1x = 16}[/tex]

[tex]\huge\textbf{DIVIDE -1 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-1x}{-1} = \dfrac{16}{-1}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{16}{-1}}[/tex]

[tex]\mathsf{x = -16}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -16}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

11 , 17 , 24

Step-by-step explanation:

• Since the Lowest number is 11 and the range is 13 then

The greatest number is 11 + 13 = 24

• Therefore the three numbers are  11 , 17 and 24

because the median of the set 11 , 17 , 24 is 17

The volatile acid/alkalinity relationship in a digester is volatile acid/alkalinity = 3/80

An equation is an expression that shows the relationship between two or more variables and numbers.

Ratio of volatile acid to alkalinity = 90 mg/L ÷ 2400 mg/L = 3/80

The volatile acid/alkalinity relationship in a digester is volatile acid/alkalinity = 3/80

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Answer:

20%

Step-by-step explanation:

Total Litres in mixture=(0.60+0.4)=1 Litre

alcohol in first portion:=0.10(0.60)=0.06 Litres

alcohol in second portion:=0.35(0.40)=0.14 Litres

Total alcohol in mixture = 0.06 +0.14 = 0.20

% of alcohol in mixture:

                                          [tex]\frac{0.2}{1} (100) = 20%[/tex]%

Answer: 20%. Based on the given conditions, formulate:: 35% * 0.4 + 0.6 * 10% / 0.4 + 0.6Calculate the product

Answer:

[tex]\{-\frac{1}{2} \} \cup \{\frac{2}{5}\}[/tex]

Step-by-step explanation:

[tex]10x^2 + x - 2 = 0; \\ a = 10, b = 1, c = -2; \\ D = b^2 - 4ac = 1^2 - 4 * 10 * (-2) = 1 + 80 = 81 = 9^2, > 0; \\ x_{1, 2} = \frac{-b \pm \sqrt{D}}{2a} = \frac{-1 \pm \sqrt{9^2}}{2 * 10} = \frac{-1 \pm 9}{20} = \left \ [ {{\frac{-1 - 9}{20} = -\frac{10}{20} = -\frac{1}{2} } \atop {\frac{-1 + 9}{20} = \frac{8}{20} = \frac{2}{5}}} \right.[/tex]

The correct option is C which is The z-statistic is 3.32, so the null hypothesis should be rejected. One can reject the null hypothesis.

When there are two possibilities then we calculate the null hypothesis if the hypothesis is true hypothesis is accepted if it is

To conduct a hypothesis test for the above situation. We define the null hypothesis and the alternative hypothesis.

The null hypothesis is the claim that the average commute time to downtown is 20 minutes while the alternative hypothesis is a contradiction of the null hypothesis which is that the average commute time to downtown is not 20 minutes.

i.e. H0: μ = 20 and H1:  μ ≠ 20.

The z-statistics is given by (sample mean - hypothesized mean) divided by (standard deviation divided by the square root of the sample size).

i.e.

[tex]z= \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

x = 26,  [tex]\mu[/tex] = 20, [tex]\sigma[/tex] = 7 and n = 15 putting the values in the question we will get the z-score value.

[tex]z = \dfrac{26-20}{\dfrac{7}{\sqrt15}}[/tex]

z = 6 / 1.807

z = 3.32

Therefore, the z-statistic is 3.32, so the null hypothesis should be rejected. Because the calculated value of z (3.32) is greater than the table value of z (1.96).

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The values of x that makes the inequality true are all values less than -5

Given the inequalities below expressed as;

4x-1 < 6x+9

Collect the like terms

4x-6x < 9+1

-2x < 10

x <-10/2

Hence the values of x that makes the inequality true are all values less than -5

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Answer:

[tex]\dfrac{5}{12}[/tex]

Explanation:

[tex]\dfrac{1}{4} + \dfrac{1}{6}[/tex]

The least common multiple of 4 and 6 is 12

So, make the denominator's same

[tex]\dfrac{3(1)}{12} + \dfrac{2(1)}{12}[/tex]

multiply numbers

[tex]\dfrac{3}{12} + \dfrac{2}{12}[/tex]

Join both fractions

[tex]\dfrac{3+ 2}{12}[/tex]

simplify following

[tex]\dfrac{5}{12}[/tex]

Answer:

d is correct answer

Answer:

the ratio of total sales or revenue to average assets

Step-by-step explanation:

djjcjdm.x....

Answer:

Days of Asset Turnover The Enterprise Accounting System specifies that the net revenue from main business of an enterprise should be the amount of revenue from main business after deducting sales discounts and sales discounts, which is called net revenue from main business. Total asset turnover ratio = total sales revenue / average total assets x 100%.

Step-by-step explanation:

Answer:

C 12/48

Step-by-step explanation:

Original fraction:

x/y

The ratio of the numerator to the denominator is 1:4, so

x/y = 1/4

Cross multiply:

y = 4x

If three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third.

(x + 3)/(y - 3) = 1/3

Cross multiply:

3(x + 3) = 1(y - 3)

3x + 9 = y - 3

Above, we have y = 4x, so substitute 4x for y in the equation just above and solve for x.

3x + 9 = 4x - 3

12 = x

x = 12

y = 4(12) = 48

The original fraction is x/y = 12/48

Step-by-step explanation:

location

of the distribution.

Answers:

(a) x = 0.5

(b) Given Below.

Explanation:

(a)

[tex]4^x = 2[/tex]

apply ln both sides

[tex]ln(4^x) = ln(2)[/tex]

simplify

[tex]xln(4) = ln(2)[/tex]

divide both sides by ln(4)

[tex]x = 0.5[/tex]

(b)

Recall that rational numbers can be expressed in fractions a/b

[tex]4^x = 5[/tex]

apply ln on both sides

[tex]ln( 4^x) = ln(5)[/tex]

simplify

[tex]xln( 4) = ln(5)[/tex]

divide both sides by ln(4)

[tex]x =\frac{ ln(5)}{ln(4)}[/tex]

simplify

[tex]x =1.160964047...[/tex]  The value is endless and continues.

The following cannot be expressed as a fraction or whole number.

Hence, the following value of x is irrational.

The rational expression written using the least common denominator  [tex]\frac{x+1}{4x^{2} }+\frac{x+1}{x^{2} }\\[/tex] is [tex]\frac{x+1}{4x^{2} }+\frac{4(x+1)}{4x^{2} }[/tex].

The ratio of two polynomials is displayed in rational expressions. It indicates that the denominator and numerator are polynomials. It is an algebraic expression that has a ratio and an unknown variable, just like a fraction. Although we can simplify this kind of equation with the aid of a calculator.

Because one is divided by the other, just like a ratio, it is a "rational expression."

The polynomial that we divide by cannot be zero, as a reminder.

The least common denominator for [tex]4x^{2}[/tex] and [tex]x^{2}[/tex] is calculated to be [tex]4x^{2}[/tex].

Thus, the required rational expression is [tex]\frac{x+1}{4x^{2} }+\frac{4(x+1)}{4x^{2} }[/tex].

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The amount of interest you would be paying in Year 2 is: $2,492.62.

First step is to calculate the Equal Monthly Payment

Equal Monthly Payment=P×r×(1+r)^t/(1+r)^t-1

Where:

P=Principal=$36,500

r=Rate=7.7%

t=Time=7 years

Equal Monthly Payment=36,500×0.077×(1+0.077)^7÷(1+0.077)^7-1

Equal Monthly Payment=36,500×0.077×(1.077)^7÷(1.077)^7-1

Equal Monthly Payment=36,500×0.077×1.6807763÷1.6807763-1

Equal Monthly Payment=4,723.82/0.6807763

Equal Monthly Payment=$6,938.875

Second step is to calculate Year 1 Closing balance

Year 1 Closing balance  = Beginning  balance + Interest - EMI Payment

Year 1 Closing balance=  $36,500 +($36,500×7.7%) - $6,938.875

Year 1 Closing balance=  $36,500 + $2,810.5 -$6,938.875

Year 1 Closing balance =   $32,371.625

Third step is to calculate year 2 interest

Year 2 Interest= $32,371.625×7.7%

Year 2 Interest=$2,492.62

Therefore the amount of interest you would be paying in Year 2 is: $2,492.62.

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Option A is accurate. The points were plotted with the coordinates (x, log) y), and they are (3, 2.097), (4, 2.796), and (5, 3.495).

Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.

Identity used;

[tex]\rm log_x (y) = z \\\\ z^x=y[/tex]

From the data we obtained;

[tex]\rm log_3(125) = 5 \\\\ 5^3 = 125[/tex]

[tex]\rm log_5 625 = 4 \\\\ 5^4 = 625[/tex]

[tex]\rm log_5 (3125) = 5 \\\\ 5^5 = 3125[/tex]

The points with the coordinates (x, log) y)) were plotted, the points are (3, 2.097), (4, 2.796), (5, 3.495)

Hence, option A is correct.

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Answer:

D.

Step-by-step explanation:

D. is the binomial since it has 2 terms.

The width of the model is 3.6 inches.

The figures with the same shape are said similar when the sides of both the figures are in proportion.

Sara has a model of length = 18inches.

The original ship has a length is 160 ft

The width of the original ship is 32 ft

The model is a scaled-down version of the original figure and so the length and width of the model will be in the same proportion as the original dimensions.

Let x represents the width of the model then,

160/18 = 32/x

x = 32 * 18 / 160

x= 3.6 inches.

Therefore, the width of the model is 3.6 inches.

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Answer:

it is A

Step-by-step explanation:

Work is attached. Hope it helped!

Answer:

[tex]y^2 + 55[/tex]

Step-by-step explanation:

Solution

Step 1: Plug in value of b as 5.

Step 2: Simplify

Therefore, the answer is y^2 + 55.

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

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{2b^2 + b + y^2}[/tex]

[tex]\huge\textbf{Conversion:}[/tex]

[tex]\mathbf{2(5)^2 + 5 + y^2}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{2(5)^2 + 5 + y^2}[/tex]

[tex]\mathbf{= 2(5\times5) + 5 + y^2}[/tex]

[tex]\mathbf{= 2(25) + 5 + y^2}[/tex]

[tex]\mathbf{= 50 + 5 + y^2}[/tex]

[tex]\mathbf{= 55 + y^2}[/tex]

[tex]\mathbf{= y^2 + 55}[/tex]

[tex]\huge\textbf{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\textsf y\frak{^2 + 55}}}\huge\checkmark[/tex]

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

The owner  funding that  would make you skeptical of the results is: D. Francesca Xi.

Company A funded the study which will attract potential customer to the company product as the  company product will be more attractive to customers after the study.

Hence, since company A which is  Francesca Xi has the longest-lasting products, he will be the business owner funding that would make you skeptical of the results .

Therefore the correct option is D.

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Answer:

no solution

Step-by-step explanation:

2x²+ x + 6 = 0

Use quadratic formula

x = (-b±√(b²-4ac))/2a

x = (-1±√(1²-4(2)(6)))/2(2)

x = (-1±√(-47))/2(2)

a. [tex]x^4 + 4x^2 + 4[/tex]

b. x = ∛-1 and -3

a.  Given

(x² + 2)²

First, we open up the bracket

[tex](x^2 + 2) (x^2 + 2)[/tex]

Multiply through

[tex]x^4 + 2x^2 + 2x^2 + 4[/tex]

Collect like terms

[tex]x^4 + 4x^2 + 4[/tex]

b. Let's factorize

[tex]x^4 + 4x + 3[/tex]

Find the factors of 3 that are products of 4, they are 3 and 1

Use it to replace 4x as 3x and x

[tex]x^4 + 3x + x + 3[/tex]

Let's make the expression two

[tex](x^4 + 3x) (x+ 3)[/tex]

Find the common factor

[tex]x^3(x + 3)+ 1(x+ 3)[/tex]

So,

[tex]x^3 + 1 = 0[/tex] and [tex]x + 3 = 0[/tex]

[tex]x = 3\sqrt{-1}[/tex] and x = -3

Thus, x = ∛-1 and -3

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Answer:

-5

Step-by-step explanation:

x+8=3

x=3-8

we can easily say +3-8=-5

The value of the expression given the information about the quotient is 8.

From the information given, the equation will be:

= (10/n - 3) + 6

where n = 2

(10/2 - 3) + 6

= (5 - 3) + 6

= 2 + 6

= 8

In conclusion, the correct option is 8.

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Step-by-step explanation:

x = 11

is a vertical line going through x = 11.

a parallel line going through (9,5) has to be a vertical line too and use x = 9.

so, that is the equation :

x = 9.

Answer:

Rs 328

Step-by-step explanation:

Find the principal amount invested.

Simple Interest Formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

⇒ P = 3200

Compound Interest Formula

[tex]\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}[/tex]

where:

Given:

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200[/tex]

[tex]\implies \sf I=3200\left(1.05\right)^{2} -3200[/tex]

[tex]\implies \sf I=3200\left(1.1025\right) -3200[/tex]

[tex]\implies \sf I=3528-3200[/tex]

[tex]\implies \sf I=328[/tex]

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

Answer:

Last graph that slopes upwards from left to right and that has an y-intercept of -1

Step-by-step explanation:

let us pick some points!(you can chose any two)

when x =3 , y = 14 : helps us get points (3,14)

when x =1 , y = 4 : helps us get points (1,4)

so we find the gradient using the two points:

[tex]gradient \ =\frac{14-4}{3-1} =\frac{10}{2} \\[/tex]

we now use gradient 10/2 and point (1,4) to find the equation  of the line:

[tex]\frac{10}{2} =\frac{y-4}{x-1} \\2(y-4)=10(x-1)\\2y-8=10x-10\\2y=10x-10+8\\2y=10x-2\\y=5x-1[/tex]

from the equation of the line found we are able to find the y- intercept of the line is -1 and that the line has a positive gradient thus should slope upwards from left to right.

From the pictures you posted, we pick the last graph as it seem to slope upwards from left to right and has the line cutting y axis at around -1