6. Find the coordinates of point P that lie along the directed line segment overline AB from A to B and partitions the line segment in the ratio of 2 to 3.

Estimate the amount that Gabe spent if he bought 4 items will be $102.36.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Gabe goes to the mall. If d is the number of items he bought, the expression 13.09 d plus 28 gives the amount he spent in dollars at one store. Then he spent 22 dollars at another store.

Then the equation that represents the total amount is given as,

T = 13.09d + 28 + 22

T = 13.09d + 50

Then estimate the amount that Gabe spent if he bought 4 items will be given as,

T = 13.09(4) + 50

T = 52.36 + 50

T = $102.36

Estimate the amount that Gabe spent if he bought 4 items will be $102.36.

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Y is 275.Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation.

Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. The x-term is typically put before constants when arranging the terms in the same sequence. The two phrases are equal if each of the terms in both of them is the same.

Explanation:

x 2 + xy+xz=135; y 2 + yz+ xy=351; z 2 + xz+ yz=243; (iii)

When I (ii), and (iii) are added together, we obtain x 2 + y 2 + z 2 + 2(xy+yz+xz) = 729, which converts to (x+y+z) 2 = 27 2.

x+y+z=27

........

(iv)

According to equation I x 2 + x y + x z = 135 => x(x+y+z) = 135 => x27=135 => x=5

In equation (ii), we have y 2 + y z + x y = 351, which leads to y (x+y+z) = 351.

y×27=351 \s=>

y=13

Once more, we obtain the following from equation (iii): z 2 + x z + y z = 243; z (x + y + z) = 243; z 27 = 243.

z=9 \sx \s2 \s +y \s2 \s +z \s2 \s =5

2 \s +13 \s2 \s +9 \s2 \s =275.

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Given:

We have two pairs of congruent angles and the included sides are congruent. It gives us ASA congruence. AB ≅ DE as corresponding parts of congruent triangles.

     Statement                                       Reason                

Given:

We have two right triangles with common leg and the other pair of legs are congruent as bisected segment. We get SAS congruence with two sides and included right angle.

     Statement                                       Reason                

Given:

ΔABC and ΔCDB are right triangles with common hypotenuse and congruent pair of legs. It gives us HL congruence and it proves the corresponding angles are congruent.

     Statement                                       Reason                

Answer:

(g ○ f)(x) = 5x² + 38

Step-by-step explanation:

to find (g ○ f)(x) substitute x = f(x) into g(x) , that is

g(f(x)

= g(x² + 8)

= 5(x² + 8) - 2

= 5x² + 40 - 2

= 5x² + 38

He can buy the tablet though it costs 440 after taxes just within 2 days by the given information.

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables, constants.

Given,

scott wants to buy a new tablet that costs 440 after taxes. he earns 11.50 per hours each week. of scott spends 100 each week on food

and saves the rest for the tablet.

per hour he earns 11.50 so per day could be = 11.50*24

= 276.

So, per day he earns 276.

So, for 2 days = 276*2

= 552

So, let us suppose in this only he spent 100 for food

so,

remaining amount could be 552-100

= 452

he can buy the tablet though it costs 440 after taxes .

Hence,  he can buy the tablet though it costs 440 after taxes just within 2 days by the given information.

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THe value of the expression using BODMAS rule is 26

The abbreviation BODMAS, which stands for "Brackets, Order of powers or roots, Division, and Multiplication," is followed by the BODMAS rule. A stands for addition and S for subtraction. According to the BODMAS rule, multi-step mathematical statements must be solved in the BODMAS order from left to right.

The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement. Math is all about logic, and there are several established laws that help us with our calculations. BODMAS is one of the established rules for consolidating multiple operator expressions.

An expression or equation in mathematics has two parts:

A character known as an operator joins two integers to form an expression or equation. The four most often used operators in mathematics are addition (+), subtraction (-), multiplication (*), and division (*/*). Finding the solution to mathematical statements or equations with just one operator is usually rather easy.

The expression is 14 + 2 + 3(4) - (6-1-3) = 14 + 2 + 12 - 2 = 26

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Answer:

92.1

Step-by-step explanation:

0.33 is smaller then 92.1, so 92.1 would be longer.

(I was the one who gave it a 1 star since I was fooling around, lol)

The sum of the two fractions 11/12 + 11/12 = 11/6

We want to sum the two fractions:

11/12 + 11/12

Remember that always that we add fractions with the same denominator (like in this case) we can directly add the numerators, then in this case the sum will be:

11/12 + 11/12 = (11 + 11)/12 = 22/12

Now we can simplify that fraction by dividing both numeartor and denominator by 2, we will get:

22/2 = 11

12/2 = 6

So we can rewrite the fraction as:

11/6

That is the outcome.

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Answer:

=−42.875x6+0.24

Step-by-step explanation:

−58.8

−245

+(−3.5x2)3

=0.24+−42.875x6

Answer: I think it is 1,200

Step-by-step explanation:  search it up

Answer:

yes

Step-by-step explanation:

5. A'B'C'D': A'(−3, 2), B'(1, 2), C'(1, 4), D'(−3, 4)

A"B"C"D": A"(−3, -2), B"(1, -2), C"(1, -4), D"(−3, -4)

6. The amount of the rotation is 180 degrees.

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Answer:

[tex]x=29^{\circ}[/tex]

Step-by-step explanation:

Please refer to the picture attached as I labeled the angles.

Given

[tex]\angle{B}=90^{\circ}[/tex]

[tex]\angle{ADB}=58^{\circ}[/tex]

[tex]AD=CD[/tex]

[tex]\angle{ACD}=\angle{CAD}[/tex] which also equals x in your picture.

We need to use the Exterior Angle Property to evaluate x.

This property states that the exterior angle equals sum of two interior opposite angles.

[tex]\angle{ACD}+\angle{CAD}=58^{\circ}[/tex]

Substitute x for [tex]\angle{ACD}[/tex] and [tex]\angle{CAD}[/tex].

[tex]x+x=58^{\circ}[/tex]

Add x and x.

[tex]2x=58^{\circ}[/tex]

[tex]x=29^{\circ}[/tex]

Answer:

The angle is 32

Step-by-step explanation:

The formula for the sum of interior angles is [tex](n-2)180[/tex]

We have a triangle inside a triangle.

A triangle has 3 sides.

[tex](n-2)180\\(3-2)180\\1(180)\\180[/tex]

The picture shows us an angle of 90 and 58.

All 3 angles must add up to 180.

[tex]180-90-58[/tex]

[tex]x=32[/tex]

An ordered pair which best represents the location of point R′ include the following: B. (−3n, −5n).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (Triangle TRW) by using a scale factor of n centered at the origin as follows:

Ordered pair T (-3, 5) → Ordered pair T' (-3 × n, 5 × n) = Ordered pair T' (-3n, 5n).

Ordered pair R (-3, -5) → Ordered pair R' (-3 × n, -5 × n) = Ordered pair R' (-3n, -5n).

Ordered pair W (4, -5) → Ordered pair W' (4 × n, -5 × n) = Ordered pair W' (4n, -5n).

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Complete Question:

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R′?

answer choices

(-3/n, -5/n)

(−3n, −5n)

(−3+n,−5+n)

(−3−n,−5−n)

97.03% probability that 15 or more of them would agree with the claim.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = [tex]C_{n,x} p^x (1-p)^{n-x[/tex]

where [tex]C _{n,x[/tex] = n! / r! (n-r)!

And p is the probability of X happening.

75% of adults believe that an unattractive smile hurts career success.

p = 0.75

and n = 75

Now, the probability that 15 or more of them would agree with the claim

P(X≥ 15) = 1 - P(X< 15)

So, P(X< 15) = P(X=0) + P(X=1) + P(X=2) + ..........................P(X=14)

and, P (X = 14) = [tex]C_{25, 14} (0.75)^{14} (0.25)^{11[/tex] = 0.0189

P (X = 13) = [tex]C_{25, 13} (0.75)^{13} (0.25)^{12[/tex] = 0.0074

P (X = 12) = [tex]C_{25, 12} (0.75)^{12} (0.25)^{13[/tex] = 0.0025

P (X = 11) = [tex]C_{25, 11} (0.75)^{11} (0.25)^{14[/tex] = 0.0007

P (X = 10) = [tex]C_{25, 10} (0.75)^{10} (0.25)^{15[/tex] = 0.0002

P (X = 9) = [tex]C_{25, 9} (0.75)^{9} (0.25)^{16[/tex] = 0

Then, P(X< 15)

= P(X=0) + P(X=1) + P(X=2) + ..........................P(X=14)

= 0.0002+0.0007+0.0025+0.0074+0.0189

= 0.0297

and, P(X≥ 15) = 1 - P(X< 15)

= 1- 0.0297

= 0.9703.

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Answer:We have,

f(x,y,z)=2x

2

+y

2

+2z=3

∂x

∂f

​

=4x,

∂x

∂f

​

=2y,

∂x

∂f

​

=2z

Step-by-step explanation:

good luck :}

Specifically cutting DNA at the restriction site to create sticky ends, EcoRI is a type II restriction enzyme in nanometer .

The International System of Units defines a nanometer, also referred to as a nanometer, as being one billionth of a metre and one thousandth of a picometre. A nanometer is denoted by the digits 1 109 m and 1/1000000000 meters in scientific notation. In the International System of Units, the prefix "nano" denotes a billionth, or 10-9. One billionth of a meter is the size of the metric length unit known as a nanometer (0.000000001 m). It is a short unit of length, denoted by the letter n.

given

On an agarose gel stained with ethidium bromide, the digested DNA may be seen and compared using molecular size ladders.

The ligation reaction becomes more effective as a result. EcoRI is a restriction endonuclease enzyme that was identified from the E. coli species (pronounce "eco R one").

It belongs to the restriction modification system and is a restriction enzyme that breaks down DNA double helices into fragments at particular locations.

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The inequality -4 ≤ v has solutions v = -3 , v = -4, v = 3

What is inequality ?

An inequality is an expression that shows the non-equal comparison of the two or more numbers and variables. A number line can be used to represent numbers put on regular intervals. A number line is sometimes   used to represent an inequality.

For an inequality where we have a variable, we define the solutions as the values that the variable can take such that the inequality becomes true.

v = -3

v = -4

v = 3

Here the inequality is:

-4 ≤ v

So the solutions can be any value equal or larger than -4.

These are:

v = -3

v = -4

v = 3

Therefore, The inequality -4 ≤ v has solutions v = -3 , v = -4, v = 3

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To the nearest tenth of a year, it will be approximately 27.4 years for the population to reach 8100.

What is the growth rate?

Growth rates are used to express the annual change in a variable as a percentage. A positive growth rate indicates a variable is increasing over time; a negative growth rate indicates that it is decreasing.

To find out how long it will take for the town's population to reach 8100, we can use the formula:

time = (ln(8100/5000)) / ln(1 + growth rate)

where growth rate is 0.05 (5%) and ln is the natural logarithm.

Plugging in the numbers we get:

time = (ln(8100/5000)) / ln(1 + 0.05) = (ln(1.62)) / ln(1.05)

Hence, To the nearest tenth of a year, it will be approximately 27.4 years for the population to reach 8100.

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Answer:

The correct answer would be 9.9.

Step-by-step explanation:

Answer: 9/8

Step-by-step explanation:

The probability of getting a Kit Kat and then a Milky Way candy bars is the fraction 5/44

The probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.

total number of candy bars = 12

probability of first getting a Kit Kat candy bar = 5/12

probability of then getting a Milky Way candy bar = 3/11

probability of getting a Kit Kat and then a Milky Way candy bars = 5/12 × 3/11

probability of getting a Kit Kat and then a Milky Way candy bars = 5/44

Therefore, the probability of getting a Kit Kat and then a Milky Way candy bars is the fraction 5/44.

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For a square matrix A, (adjA)A = I then |A|= 1

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.

A square matrix is a matrix with the same number of rows and columns.

(adjA)A = I

A⁻¹=AdjA/|A|

multiplying both sides with A gives

AA⁻¹=A(AdjA)/|A|

∴A(adjA)=∣A∣I

|A| =1

Hence, For a square matrix A, (adjA)A = I then |A|= 1

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Answer:

Step-by-step explanation:

20 m i think

Answer:

Okay so since she has 80 dollars, and already spent 25, then she would have 55 dollars remaining.

Now that she has 55 dollars, she will divide it up evenly between her 4 friends.

55/4 = 13.75

The most that she would be able to give them is $13.75

Step-by-step explanation:

Hope it helps! =D

If 1% of a number equals 5, find 2% of that number is 2

Algebraic expressions are described as expressions composed of variables, constants, factors, coefficients and terms.

Arithmetic operations also make up these expressions, they are;

Also, fractions are described as part of a whole element, number or variable

From the information given, we have that;

1% of a number is 5

Let the number be x

1/2x = 5

Make 'x' the subject

x = 10

Substitute the value

2/10 of x

2/10 × 10

2

Thus, the value is 2

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Answer: The volume of a rectangular container is given by the formula:

Volume = length * width * height

In this case, the length of the container is 20 feet, the width is 8 feet, and the height is 8 feet.

So the volume of the shipping container can be calculated as:

Volume = 2088 = 1,360 cubic feet

So, the volume of the shipping container is 1,360 cubic feet

Step-by-step explanation:

The arrangement of 26/4, 6.45, 6 2/5, and 50/8 in order from least to greatest is C. 50/8, 6 2/5, 6.45, 26/4.

The concept that will be used here is ordering of numbers using < signs.

To arrange the  shows, we can convert 26/4, 6.45, 6 2/5, and 50/8  to decimal so this will help us to determine the order.

26/4=6.50

6.45=6.45

6 2/5=32/5 = 6.40

50/8 =6.25

Then 6.25<6.40 <6.45 <6.50 and this implies that the order that the arrangement follows is 50/8, 6 2/5, 6.45, 26/4

Therefore, option C is correct.

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