The triangles are similar. What is the value of x? 48,52,20 / 12,x,5

the answer to your equation is x=2

To show your work I’ll do

37x-14=60

37x=60+14

37x=74

X=2

Answer:

11

Step-by-step explanation:

The solution to the equation [tex]\rm log_4 (5x + 9) = 3\\\\[/tex] is x = 11.

In mathematics, the logarithmic function is an inverse function to exponentiation.

The given equation is;

[tex]\rm log_4 (5x + 9) = 3\\\\[/tex]

The solution to the equation is determined in the following steps given below.

[tex]\rm log_4 (5x + 9) = 3\\\\ Taking \ exponetital \ on \ both \ sides\\\\5x+9 =4^3\\\\5x+9=64\\\\5x=64-9\\\\5x=55\\\\x=\dfrac{55}{5}\\\\x=11[/tex]

Hence, the solution to the equation [tex]\rm log_4 (5x + 9) = 3\\\\[/tex] is x = 11.

Learn more about logarithmic equations here;

https://brainly.com/question/1550602

#SPJ2

Yhats how to get the answer, but it said I have to put words so ignore this.

Answer:the red box

Step-by-step explanation:

the red box since  1.26 is greater than 1.026, because the tenths place has the most power after a decimal. and the tenths place in the green box of sugar is 2, while the tenths place in the red box of sugar is 0 and 2 is greater than 0

hope this helps!

Answer:

Green box contains more sugar.

Step-by-step explanation:

Consider the provided information.

Ashley found 2 boxes of sugar in the kitchen.

The green box says 1.26 kg and the red box says 1.026 kg.

we need to find which box contains more sugar.

To find this we will first check the digit at ones place.

Both the digit has 1 at the ones place. So now check the digit at tenths place.

1.26 has 2 at tenths place while 1.026 has 0 at tenths place.

As we know 2 is greater than 0, thus the number 1.26 is greater than 1.026.

Hence, green box contains more sugar.

considering the total figure,

lenght = 7+x

height =10

Area= L×B

106=10(7+x)

106=70+10x

106-70=10x

36=10x

x=3.6cn

To calculate the size of x when the area of a compound shape is 106 cm², specific information about the shape's dimensions or the relationship of x to the area is needed. Once we have a formula, we can solve for x and express it to the correct number of significant figures.

The student is tasked with calculating the size of x given that the area of a compound shape is 106 cm². To solve for x, we must have a description of the shape with its dimensions, or a formula relating x to the area. Without additional information about the shape or how x is defined within the context of this shape, we cannot provide a numerical answer.

If x represents a length or width of a rectangular part of the compound shape, we might use the formula for the area of a rectangle, A = l×w, to solve for x by dividing the area by the known dimension. However, if the compound shape includes circles, triangles, or other geometric figures, different area formulas would be required. Once we have the correct formula, we would isolate x and calculate its value ensuring the answer is given to the correct number of significant figures as specified by the area given by the question.

https://brainly.com/question/34380164

#SPJ2

Multiply the first bracket by 2

Multiply the second bracket by 5

6-8a+5a-35

6-35-8a+5a ( just rearranging)

-29-3a or -3a-29 same answer just rearranging.

Answer is -29-3a or -3a-29

Answer:

2(3-4a)+5(a-7)

=6-8a+5a-35

=-3a-29

Step-by-step explanation:

The answer is:

The total height of the 17-story building is 74.29 meters.

This a unit convertion problem. We know that there is a 17-story building and the height of each story, we need to convert the units and then, calculate the total height.

We need to use the following convertion factors:

[tex]1meter=100cm[/tex]

[tex]1decimeter(dm)=10cm[/tex]

Now, converting the given units we have:

Meters to centimeters:

[tex]1meter=100cm[/tex]

[tex]4*1meter=4*100cm[/tex]

[tex]4m=400cm[/tex]

Decimeters to centimeters:

[tex]1decimeter(dm)=10cm[/tex]

[tex]2*1decimeter(dm)=2*10cm[/tex]

[tex]2dm=20cm[/tex]

So, we know that one story measures 4 meters, 2 decimeters (dm) and 17 centimeters (cm), and if we want to calculate the total height of the 17-story building, we need to use the following equation:

[tex]TotalHeight=17*(HeightDimension)[/tex]

[tex]TotalHeight=17*(400cm+20cm+17cm)=17*(437cm)=7429cm[/tex]

Now,

Converting from centimeters to meters, we have:

[tex]7429cm=7429cm*\frac{1m}{100cm}=74.29m[/tex]

Hence, we have that the total height of the 17-story building is 74.29 meters.

Have a nice day!

Answer:

h = 74.29 meters

Step-by-step explanation:

We know that a decimeter is equal to 10 cm.

and 100 cm equals 1 meter,

Then, each floor measures 4 meters + 2 decimetres + and 17 centimeters

This is:

4m + 20cm + 17cm

= 4m + 37cm

= 4m + 0.37 m

= 4.37 m.

If the building has 17 floors then its height is:

[tex]h = 17 * 4.37\\[/tex]

h = 74.29 meters

Answer:

Correct choice is A. [tex]y=x-8[/tex].

Step-by-step explanation:

pick any two points from the table say (0,-8) and (2,-6)

Now we we can use both points to find the equation of line.

slope [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-6--8}{2-0}=\frac{2}{2}=1[/tex]

now plug slope m=1 and any point say (0,-8) into point slope formula

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y--8=1\left(x-0\right)[/tex]

[tex]y+8=1\left(x\right)[/tex]

[tex]y+8=x[/tex]

[tex]y=x-8[/tex]

Hence correct choice is A. [tex]y=x-8[/tex].

Volume is cubed. If the dimensions are doubled, cube the scale factor:

2^3 = 8

The volume will increase by a scale of 8.

The new volume would be 97 x 8 = 776 ft^3

the answer is c: .... 72+8w

Answer:

The answer is option C.

Step-by-step explanation:

8(9+w)

Distribute the 8 to the 9 and the w:

9(8)+w(8)

Simplify:

72+8w

This cant be simplified further.

hope this helps :)

[tex]\sigma_A=\sum_{1}^{3}=180\Longrightarrow\sum{\frac{180}{3}}=\boxed{60}[/tex]

Answer: all together a triangle = 180 degrease that means if there are three angles then each one would = 60 degrease each

Answer: -2 is the correct answer

Step-by-step explanation: All the other values in the options represent an input (x) instead of an output f(x). Al the values in the chart that are on your left are x inputs and all the values on the right are f(x) outputs Leaving you with -2 as the only correct answer.

Hope this helps have a good one!

The value is an output of the function is -2.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Here -6,4 and 7 are in column of x which they are the inputting value for function f(x).

The number -2 is on column of f(x) which means it is output corresponding to the input value 3.

Hence, -2 is the output value for f(x).

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

Option b. 12

Step-by-step explanation:

This exercise asks us to find the derivative of a function using the definition of a derivative.

Our function is [tex]f(x) = x^{3}[/tex]. Therefore:

[tex]f(2+h) = (2+h)^{3}[/tex]

[tex]f(2) = (2)^{3} = 8[/tex]

Then:

[tex]\lim_{h \to \0} \frac{f(2+h)-f(2)}{h}=\lim_{h \to \0} \frac{(2+h)^{3}-8}{h}[/tex]

Expanding:

[tex]\lim_{h \to \0} \frac{(2+h)^{3}-8}{h} =\lim_{h \to \0} \frac{8+ h^{3} +6h(2+h) -8}{h} =\lim_{h \to \0} \frac{h^{3} +6h(2+h)}{h}[/tex]

[tex]\lim_{h \to \0} \frac{h^{3}+ 6h(2+h)}{h} =\lim_{h \to \0} h^{2} + 6(2+h) [/tex]

Now, if x=0:

[tex]\lim_{h \to \0} \frac{f(2+h)-f(2)}{h} = (0)^{2} +6(2+0) = 12[/tex]

Final answer:

The recursive rule for the geometric sequence 1/2, -2, 8, -32 is defined by the first term a1 = 1/2, and for n > 1, the nth term is given by aₙ = aₙ₋₁ × (-4), illustrating the sequence's common ratio of -4.

Explanation:

The question asks for the recursive rule for a geometric sequence: 1/2, -2, 8, -32. To find the recursive rule, we need to determine the common ratio by dividing each term by its preceding term. For instance, dividing -2 by 1/2 gives -4, and similarly dividing 8 by -2 also gives -4. This shows that the common ratio (r) is -4. A geometric sequence can be defined recursively by specifying the first term and the rule for obtaining each term from the previous one.

The first term, represented as a1, is 1/2. Given that the common ratio is -4, the recursive rule for finding the nth term (an) can be expressed as aₙ = aₙ₋₁ ×  r, where n > 1. Substituting the common ratio, we get aₙ = aₙ₋₁ ×  (-4) for n > 1.

It was reflected. this is bc it is the same shape, just flipped.

Answer:Reflection about the y-axis followed by a translation to the left by 2 units

Step-by-step explanation:I took the test

Option: A is the correct answer.

              A.  -0.903

The formula to calculate correlation coefficient r is given by:

[tex]r=\dfrac{n\sum xy-(\sum x)(\sum y)}{\sqrt{n(\sum x^2)-(\sum x)^2}\sqrt{n(\sum y^2)-(\sum y)^2}}[/tex]

        x          y         xy          x²            y²        

        4         23        92        16           529

        5          12        60        25          144

        8          10        80        64          100

        9          9          81         81            81

        13         2          26       169           4

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

∑     39       56        339      355         858

Also n=5 ( as there are 5 data points )

Hence, we get:

[tex]r=\dfrac{5\times 339-39\times 56}{\sqrt{5\times 355-(39)^2}\times \sqrt{5\times 858-(56)^2}}\\\\\\r=\dfrac{-489}{\sqrt{254}\times \sqrt{1154}}\\[/tex]

[tex]r=-\dfrac{489}{541.40188}=-0.9032[/tex]

     Hence,  the r-value of the following data, to three decimal places is:

                               A.  -0.932

Answer: A. -0.903

Step-by-step explanation: I just did this on A P E X and got it right

Answer:

The vertex form is y = -3(x + 2)² + 10

Step-by-step explanation:

* Lets revise how to put the quadratic in the vertex form

- The general form of the quadratic is y = ax² + bx + c, where

 a , b , c are constants

# a is the coefficient of x²

# b is the coefficient of x

# c is the numerical term or the y-intercept

- The vertex form of the quadratic is a(x - h)² + k, where a, h , k

 are constants

# a is the coefficient of x²

# h is the x-coordinate of the vertex point of the quadratic

# k is the y-coordinate of the vertex point of the quadratic

- We can find h from a and b ⇒ h = -b/a

- We find k by substitute the value of h instead of x in the general form

 of the quadratic

 k = ah² + bh + c

* Now lets solve the problem

∵ y = -3x² - 12x - 2

∵ y = ax² + bx + c

∴ a = -3 , b = -12

∵ h = -b/2a

∴ h = -(-12)/2(-3) = 12/-6 = -2

- Lets find k

∴ k = -3(-2)² - 12(-2) - 2 = -3(4) + 24 - 2 = -12 + 24 - 2 = 10

* Lets writ the vertex form

∵ y = a(x - h)² + k

∵ a = -3 , h = -2 , k = 10

∴ y = -3(x - -2)² + 10

∴ y = -3(x + 2)² + 10

* The vertex form is y = -3(x + 2)² + 10

ANSWER

The vertex form is:

[tex]y = - 3{(x + 2)}^{2} +10[/tex]

EXPLANATION

The given equation is:

[tex]y = - 3 {x}^{2} - 12x - 2[/tex]

[tex]y = - 3( {x}^{2} + 4x) - 2[/tex]

We add and subtract the square of half the coefficient of x.

[tex]y = - 3( {x}^{2} + 4x + {2}^{2} ) - - 3( {2})^{2} - 2[/tex]

We simplify to get,

[tex]y = - 3{(x + 2)}^{2} + 3(4)- 2[/tex]

[tex]y = - 3{(x + 2)}^{2} +10[/tex]

This is in the vertex form.

Answer:

Which question do you need help on

Step-by-step explanation:

Answer:

8.91 units.

Step-by-step explanation:

If the height = h then the radius = h/3.

The volume = 247 = π r^2 h

247 = π (h/3)^2 h

(h/3)^2 h = 247/π

h^3 / 9 = 247 /π

h^3 = 9*247/ π

h= 8.91 units.

The value of height of the cylinder is,

⇒ 13.14 units.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

The volume of the cylinder is,

⇒ V = πr²h,

Where V is the volume, r is the radius, and h is the height.

Given that;

The volume of the cylinder is 247 cubic units,

Also, we are told that the height of the cylinder is 3 times the radius of the base.

Hence, We get;

⇒ 247 = πr²h

And, Mathematically expressed, h = 3r.

Hence, Substituting value of h in the above equation,

247 = πr²(3r)

Simplifying further, we get:

247 = 3πr³

Dividing both sides by 3π,

r³ = 82.33

Taking the cube root of both sides,

r ≈ 4.38

Now, use the value of r and find the height of the cylinder, using the equation h = 3r.

Therefore, the height of the cylinder is:

h = 3 × r

h = 3 × 4.38

h ≈ 13.14

So, The value of height of the cylinder is 13.14 units.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

C

Step-by-step explanation:

The ratio of nuts is .60 in the first bag and .7 in the second bag. Therefore C would be the answer.

Answer:

StepJust found the answer it was C.

-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (3, -4) and (7, 4). Substitute:

[tex]m=\dfrac{4-(-4)}{7-3}=\dfrac{8}{4}=2[/tex]

Answer:

0.2 x 10 ^ 5

Option C is correct. The number is written in scientific notation is,0.2×10⁵.Because the number is written in the decimal form.

Scientific notation is a method of describing numbers that are either too large or too little to be expressed in decimal form.

Out of all, the number C is written in the decimal form.

Hence, the number is written in scientific notation is,0.2×10⁵

To learn more about scientific notation, refer;

https://brainly.com/question/18073768

#SPJ2

Answer:

[tex]1.6\ hours[/tex]

Step-by-step explanation:

we know that

She rides for 11.2 kilometers at a speed of 7 kilometers per hour

Using proportion

Find how many hours does she ride

[tex]\frac{7}{1}\frac{km}{h} =\frac{11.2}{x}\frac{km}{h}\\ \\x=11.2/7\\ \\x=1.6\ hours[/tex]

Answer: [tex](y-7)=-4(x+2)[/tex]

Step-by-step explanation:

The equation of a line in point slope form with slope m and passing through point (a,b) is given by :-

[tex](y-b)=m(x-a)[/tex]

Given : The slope of the line : m= -4

The point from which line is passing : (a,b) =(-2,7)

Then , the point  slope equation of a line with slope -4 that contains the point (-2,7) will be :-

[tex](y-7)=-4(x-(-2))\\\\\Rightarrow\(y-7)=-4(x+2)[/tex]

Answer:

0.4437

Step-by-step explanation:

First we will define independent events.

Two events are said to be independent when the occurrence of one event doesn't affect the probability of occurrence of second event.

Given

P(Q)=0.87

and  

P(R)=0.51

The probability of independent events is given as:

P(Q∩R)=P(Q)*P(R)

=0.87*0.51

=0.4437

So the probability of Q and R is 0.4437 ..  

Hey there! :)

y = 3/4x - 2

To find the slope and y-intercept, simply use slope-intercept form to understand this.

Slope-intercept form is : y = mx + b ; where m = slope, b = y-intercept.

Therefore, you must ask yourself : which value is in the "m" spot and which value is in the "b" spot in our given equation?

Using this logic, we can come to the conclusion that :

Slope = 3/4 & Y-intercept = -2

~Hope I helped! :)

X equals negative B and plus and minus the square root of b squared minus 4ac all over 2a

Answer:

Step-by-step explanation:

The quadratic formula is as follows:

[tex]\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

It is used for factoring second degree polynomials ONLY!!!  That's why it's called the quadratic formula...quadratics are second degree polynomials.  The a, b and c are found in the standard form of a quadratic equation:

[tex]y=ax^2+bx+c[/tex]

Just plug them into the formula, but be careful with the "-4ac".  Sometimes that mistakenly leads to an unwanted negative sign under you radical.  Unless you are dealing with imaginary numbers, your solutions should be real.

Step-by-step explanation:

Look at the picture.

[tex]\text{The function is increasing on the intervals:}\ \left<-3,\ 0\right>\ \text{and}\ \left<4,\ 9\right>\\\\\text{The function is decreasing on the interval:}\ \left<-6,\ -3\right)}\\\\\text{The function is constant on the interval:}\ \left<1,\ 4\right>\\\\\text{The domain of the function:}\ \left<-6,\ 0\right>\ \cup\ \left<1,\ 9\right>[/tex]

In Mathematics, analyzing whether function intervals are increasing, decreasing, or constant involves checking the derivative. Positive derivatives indicate increasing intervals, negative derivatives indicate decreasing intervals, and a derivative of zero signifies constant intervals. The domain of a function comprises all possible input values.

The subject of your question falls under Mathematics, specifically the topic of functions. Where a function is increasing, decreasing, or constant on an interval depends upon the derivative of the function on that interval. For an increasing interval, the derivative is positive. For a decreasing interval, the derivative is negative. For a constant interval, the derivative is zero. As for the domain of a function, it refers to all possible input values (x-values) the function can have. For example, for the function f(x) = 1/x, all real number except for 0 are in the domain because you cannot divide by 0.

https://brainly.com/question/36309314

#SPJ11

[tex]\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\\\ \begin{array}{ccccllll} &\stackrel{\stackrel{ratio}{of~the}}{Sides}&\stackrel{\stackrel{ratio}{of~the}}{Areas}&\stackrel{\stackrel{ratio}{of~the}}{Volumes}\\ \cline{2-4}&\\ \cfrac{\stackrel{similar}{shape}}{\stackrel{similar}{shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}~\hspace{6em} \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \cfrac{\textit{sphere A}}{\textit{sphere B}}\qquad \stackrel{\stackrel{sides'}{ratio}}{\cfrac{1}{4}}\qquad \qquad \stackrel{\stackrel{sides'}{ratio}}{\cfrac{1}{4}}=\stackrel{\stackrel{volumes'}{ratio}}{\cfrac{\sqrt[3]{288}}{\sqrt[3]{v}}}\implies \cfrac{1}{4}=\sqrt[3]{\cfrac{288}{v}}\implies \left( \cfrac{1}{4} \right)^3=\cfrac{288}{v} \\\\\\ \cfrac{1^3}{4^3}=\cfrac{288}{v}\implies \cfrac{1}{64}=\cfrac{288}{v}\implies v=18432[/tex]

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{1}{~~y^{-\frac{1}{4}}~~}\implies y^{\frac{1}{4}}[/tex]