What value of x satisfies the equation 2x+1=4.8?x=_______

The length of FG is 40 units.

What are parallel lines?

Two or more lines that are consistently parallel to one another and that are located on the same plane are referred to as parallel lines. No matter how far apart parallel lines are, they never cross. The relationship between parallel and intersecting lines is the reverse. The lines that never meet or have any possibility of meeting are known as parallel lines.

Since FG is parallel to CD, triangles CDE and FGE are similar. Thus, we can set up the following proportion:

CE/CD = FG/FE

Substituting the given values, we get:

32/16 = FG/20

Simplifying the left side, we get:

2 = FG/20

Multiplying both sides by 20, we get:

FG = 40

Therefore, the length of FG is 40 units.

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The scale of measurement for the type of car(sedan, SUV,​ convertible, etc) is D. Nominal.

The scale of measurement is a way to categorize and describe the type of data collected in a study. In the case of the type of car, the data collected is categorical, meaning it falls into a specific category without any order or ranking. The categories don't have any meaningful mathematical relationships between them. This type of data is best described by the nominal scale of measurement.

It's important to understand the scale of measurement for a variable because it determines the type of statistical analysis that can be performed on the data.

Nominal data can be summarized using frequency tables and percentages, but more advanced statistical techniques like regression or correlation cannot be performed.

In conclusion, the type of car is a nominal variable, and it's important to identify the scale of measurement of a variable as it affects the type of analysis that can be performed on the data.

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Answer:

X=20 degree

Step-by-step explanation:

∆A+∆D+∆O=180

2x+10+2x+90=180

collect like terms

2x+2x=180-100

4x=80

(4x)/4=(80)/4

x=20 degree

Answer:

\(angles \: of \: triangle \: add \: up \: to \: {180}^{0} \\ {(2x + 10})^{0} + {(2x)}^{0} + {90}^{0} = {180}^{0} \\ 4x = {(180 - 90 - 10)}^{0} \\ 4x = {80}^{0} \\ x = {20}^{0} \)

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

If John is running a study on whether a particular SAT training class is effective, the students take the SAT before and after taking the class and the 95% confidence interval for the difference in scores (after - before) is [5, 15], then the statement which is NOT true is 'The training class caused a big improvement in the student's SAT scores.' The answer is option d.

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Answer:

f(x)=10-x/4

Step-by-step explanation:

this is the answer

Answer:

he runs for 39 min in 10 kilometres

Step-by-step explanation:

if he runs 10 kilometres

u add 4 10 times add if and u will find 39 min for 10 kilometres running

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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Answer:

363.22

Step-by-step explanation:

Method 1:

You could find the whole figure surface area than divided by 1/2

Method 2: (the one I'm going to personally be doing)

Break the figure into two rectangular figures

Formula for surface area of rectangular prism:

A = 2(width x length + height x length + height x width)

Figure 1:

A = 2(width x length + height x length + height x width)

height = 3.8 yd

length = 10.1 yd

width = 4.3 yd

A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))

A = 2(98.15)

A = 196.3

Figure 2:

A = 2(width x length + height x length + height x width)

height = 8.4 yd

length = 10.1 yd

width = 2 yd

A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))

A = 2(121.84)

A = 243.68

There is overlapping surface area that shouldnt be include so we need to subtract it...

For one face of figure 1

3.8 x 10.1 = 38.38

Total:

Figure 1 + Figure 2 - 2(one face)

196.3 - 38.38 = 157.92

243.68 - 38.38 = 205.3

205.3 + 157.92 = 363.22

Answer:

c

Step-by-step explanation:

Answer:

74%.

Step-by-step explanation:

As the passes are independent we multiply the individual probabilities:

The  Required probability

= 0.86 * 0.86

= 0.7396

- close to 74%.

Answer:

y = -2/3x + 1

Step-by-step explanation:

( -3, 3) and (0,1)

m=(y2-y1)/(x2-x1)

m=( 1 - 3)/(0+3)

m = (-2)/3

m = -2/3

y - y1 = m(x - x1)

y - 3 = -2/3(x + 3)

y - 3 = -2/3x - 2

y = -2/3x + 1

Answer:

y = -2/3x + 1

Step-by-step explanation:

(-3,3) and (0,1)

slope= y2-y1/x2-x1

1-3 / 0+3

-2/3

y = mx + b

y = -2/3x + b

1 = 0 + b

b = 1

y = -2/3x + 1

hope this helps :)))

The negation of the proposition posed the statement is:

"Every student in this class has seen a computer."

The negation of the proposition "There is a student in this class who has never seen a computer" can be expressed using quantifiers as follows:

∀ x ∈ S, ∃ y ∈ C (x has seen y)

This means "For all students x in the class S, there exists a computer y in the set of computers C such that x has seen y."

In English, the negation of the proposition can be expressed as "Every student in this class has seen a computer."

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Answer:

The equation is 4y+8=9

The expression is 3-2

The inequality is 7/y < 6

Step-by-step explanation:

The components of the vector with initial point (7,−6) and a terminal point at (6,−3) are:

The components of a vector are the vectors that makes up the resultant as described in the problem to have starting point (7,−6) and terminal point (6,−3).

This can be gotten by plotting these points and getting the coordinates of the points that makes the initial point and the terminal point the hypotenuse of the triangle

From the graph, the coordinates are:

component 1: (6, -6) to (3, -6)

component 2: (7, -6) to (6, -6)

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Answer:

you should factor the expressions!

Step-by-step explanation:

for example: x²-9=(x+3)×(x-3) you know how to do factoring, right?

The equation that represents this situation is p = 4 + 5d

Algebraic expressions are known as mathematical expressions made up of:

From the information given, we have that:

The equation this represents is:

p = 4 + 5d

Thus, the equation that represents this situation is p = 4 + 5d

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The probability that the standard normal variable z falls between -0.76 and 2.47 is approximately 0.77, or 77%. This means that there is a 77% chance of observing a value between -0.76 and 2.47 on the standard normal distribution curve.

The standard normal distribution table provides the probabilities for the area under the curve up to a specific z-value. In this case, we need to find the probability for z = -0.76 and z = 2.47 separately. By looking up these values in the table, we can find their corresponding probabilities.

The probability for z = -0.76 is 0.2236, and the probability for z = 2.47 is 0.9936. Since we want the probability between these two values, we subtract the probability for z = -0.76 from the probability for z = 2.47. Hence, P(-0.76 < z < 2.47) is approximately 0.9936 - 0.2236 = 0.77.

Therefore, the probability that the standard normal variable z falls between -0.76 and 2.47 is approximately 0.77, or 77%. This means that there is a 77% chance of observing a value between -0.76 and 2.47 on the standard normal distribution curve.

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Step-by-step explanation:

To find the percent change in price of the four new tires, we can use the formula:

percent change = (new value - old value) / old value * 100%

Here, the old value is $638 and the new value is $523.

percent change = ($523 - $638) / $638 * 100%

percent change = -$115 / $638 * 100%

percent change = -0.18 * 100%

percent change = -18%

The result is a decrease of 18%, so the answer is A. 18% decrease.

Okay, let's solve this step-by-step:

Original price of 4 tires: $638

New price of 4 tires: $523

To calculate the percent change, we use the formula:

Percent Change = (New Price - Original Price) / Original Price

So in this case:

Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%

Since the new price is less than the original price, this is a decrease.

Therefore, the answer is A: 18% decrease

So the answer is A: 18% decrease

If x=k is a zero of a polynomial, then (x-k) is a factor in the polynomial.

So with roots at x = -2 , x = 3, and x = 5, you have

   (x+2)·(x-3)·(x-5)

Now the "double root" means that you have that factor twice

   (x+2)·(x-3)·(x-5)·(x-5)

but we'd normally write that with an exponent:

   (x+2)·(x-3)·(x-5)^2

So y = (x+2)·(x-3)·(x-5)^2 is your equation.

Answer:

2.22222 hours

Step-by-step explanation:

The provided graph is not a function because  it touches the graph more than one point.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have given a graph of a function.

We can check the whether the given graph is a function or not by drawing a vertical line if the vertical line touches the graph more than two points then the graph is not a function.

The given graph is not a function because it touches the graph more than one point.

Thus, the provided graph is not a function because  it touches the graph more than one point.

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The required exponential expression is 9⁵ for the numerical expression 9⋅9⋅9⋅9⋅9.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

"9⁵," or "nine to the fifth power is respectable because we have multiplied the number "9" by itself "five times."

Hence, the value is equal to:    

⇒ 9⋅9⋅9⋅9⋅9 is equal to:  " 9⁵ " ;  

that is, "nine to the fifth power"  or "nine to the power of "five" ;

Thus, the required exponential expression is 9⁵ for the numerical expression 9⋅9⋅9⋅9⋅9.

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Answer:

(C-Ax)/B=y

Step-by-step explanation:

Answer:

D) 81

Step-by-step explanation:

I think cause you would do 3 by the second power so that would be 9 then 9 the the second power would be 81 so yeah good luck

Answer:

D is your correct answer

Step-by-step explanation:

Well first things first if we want to simplify with a base and an exponent we can use product of two powers with like bases.

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

Example/model of product of two powers with like bases:

x^m + n (adding the exponents)

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

If we add those two exponents you get 3^4. Then if you do 3 x 3 x 3 x 3 = ?

What do you get? You get 81. Hope this helpss! Good luck!!

A and B are 2 x 2 with columns a1, a2, and b1, b2, respectively. AB = [a1 b1 a2 b2].

Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A.So, we have:AB=⎡⎣⎢⎢a1a2⎤⎦⎥⎥[b1b2]=[a1b1+a2b2a1b1+a2b2]The order of AB is 2 × 2.Therefore, the blank will be filled by "2 × 2". Hence, the answer is 2 × 2.

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Answer:

This is a geometric sequence.

20 boxes of strawberries and 6 boxes of blueberries were purchased by Melissa.

We can use these two equations to solve for x and y:

x + y = 26 (equation 1)

3x + 1.25y = 67.50 (equation 2)

We can multiply equation 1 by 1.25 and subtract it from equation 2 to get rid of y:

3x + 1.25y = 67.50

-1.25x - 1.25y = -32.5

1.75x = 35

x = 20

Substituting x = 20 into equation 1, we get:

20 + y = 26

y = 6

A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign "=".

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

A condition on a variable is what an equation in algebra is. It can only be satisfied if the variable has a specific value. That means that only the value of x = 9 may satisfy the equation 2x - 5 = 13.

From the question:

Let x represent the number of boxes Melissa purchased of strawberries, and y represents the number of boxes Melissa purchased of blueberries.

All in sum, Melissa purchased 26 boxes of berries, thus x + y = 26.

A box of strawberries costs $3, hence the price of x boxes of strawberries is $3.

Blueberries cost $1.25 a box, thus 1.25 dollars are spent on y boxes of blueberries.

In total, Melissa spent $67.50, therefore 3x + 1.25y = 67.50.

x + y = 26 (equation 1)

3x + 1.25y = 67.50 (equation 2)

3x + 1.25y = 67.50

-1.25x - 1.25y = -32.5 (multiplying equation 1 by 1.25 and changing its sign)

1.75x = 35

x = 20

Substituting x = 20 into equation 1, we get:

20 + y = 26

y = 6

Melissa consequently purchased 6 boxes of blueberries and 20 boxes of strawberries.

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Answer:

25

Step-by-step explanation:

(-5)^2

(-5)*(-5)

25

Answer:

25

Step-by-step explanation:

(-5)^2 = 25, since -5 x -5 is 25.

Now, if the -5 hadn't been in parenthesis, -5^2 would be read as -(5 x 5), and would equal -25.

Brainliest, please! I'm so close to becoming an Expert!

Answer:

The graph has a greater rate of change and y-intercept.

Slope is 3/4 and y-intercept is about -1 which is greater than the one in the equation.

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

Area of the garden in standard form:

Area = (2t^2) + 7t - 4

The dimension of the garden is 8ft × 7ft

Step-by-step explanation:

Length of the rectangular garden, L = t+4

Width of the garden, B = 2t - 1

Area = length * width

Area = (t+4) * ( 2t-1)

Area = (2t^2) + 7t - 4..….......(1)

If the Area = 56 ft^2

Substitute Area into (1)

56 = (2t^2) + 7t - 4

(2t^2) + 7t - 60 = 0

(2t^2) - 8t + 15t - 60 = 0

2t(t - 4) + 15(t - 4) = 0

(2t+15) (t-4) = 0

Let 2t + 15 =0

t = -7.5

Let t - 4 = 0

t = 4

* When t = -7.5

Length, L = -7.5 + 4 = -3.5 ft

Width, B = 2(-7.5) -1 = -16 ft

Since length and breadth cannot be negative, t = -7.5 is not possible

** When t = 4

Length, L = 4+4 = 8 ft

Width, B = 2(4) - 1 = 7 ft

Therefore, the dimension of the garden is 8ft × 7ft

Answer:

The dimension is 8ft by 7ft

Step-by-step explanation:

Given data

Length l =  \((t+4)\)

Width w=  \((2t-1)\)

the area  is expressed as  \(A= length * width\)

\(A= (t+4)*(2t-1)\\A= t(2t-1) +4(2t-1)\\A= 2t^{2}-t+8t-4\\\)

collecting like terms we have

\(A= 2t^{2} +7t-4\)

hence our expression for area is \(A= 2t^{2} +7t-4\)

given that the area is \(56ft^{2}\)  to solve for the sides we need to first solve fot t

equating the expression for area to 56 we can solve for t

\(A= 2t^{2} +7t-4= 56\)

taking the constant term to the other side and solve we have

\(A= 2t^{2} +7t-4-56\\A= 2t^{2} +7t-60\\\)

we can substitute two factors for 7t that when multiplied we give -60 and when added we give 7  these factors are 15 and -8

\(A= 2t^{2} +7t-60\\\\A= 2t^{2} -8t+15t-60\\2t^{2} -8t+15t-60=0\\\\2t(t-4) +15(t-4)= 0\\2t+15=0, (t-4)= 0\\2t=-15, t= -7.5\\t= 4\)

t=4  hence the length is

\((t+4)\\(4+4)= 8ft\\\)

hence the width  is

\((2t-1)\\(2*4-1)= (8-1)= 7ft\)