26.35 rounded to the nearest hundred

Answer:

-3x-16

Step-by-step explanation:

(2x-6)-(5x+10)

2x-6-5x-10

2x-5x-6-10

-3x-6-10

-3x-16

The values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal and we are asked to find the value of x and y.

We are given that angle A = 3y angle B = 3x , angle C = y + 78 and angle D = 4x - 21

Now as we know that the opposite angles are going to be equal.So,

angle A = angle C

3y = y + 78

2y = 78

y = 39

So, the value of y is going to be 39 degrees.

Similarly, we can also find the value of x.

angle B = angle D

3x = 4x - 21

-x = -21

x = 21

So, the value of x is going to be 21 degrees.

Hence, the values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.

Answer:

70

Step-by-step explanation:

To evaluate k( -5), substitute x = - 5 into k(x)

k(−5)=(6×-5)+100=−30+100=70

Answer:

Step-by-step explanation:

Provide problems and we're here to help.

Answer:

write the problem, decide whether you use add or sub.,add or sub. the constant on both sides, eliminate the coefficients of the variable, last solve for the variable.

Step-by-step explanation:

The explicit equation for the nth term of the geometric sequence 3584, 896, 224 is:

[tex]a_n=3584(0.25)^{n-1}\\\\\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]

Solution:

Given that we have to find the explicit equation for nth term of geometric sequence

Given sequence is:

3584, 896, 224

A geometric sequence has a common ratio

Let us find the common ratio. Divide each term by the previous term.

[tex]r=\frac{896}{3584} = 0.25\\\\r = \frac{224}{896} = 0.25[/tex]

Thus the common ratio is 0.25

The formula for nth term of geometric sequence is given as:

[tex]a_n=ar^{n-1}[/tex]

Where,

[tex]a_n[/tex] is the nth term of sequence

a is the first term of sequence

r is the common ratio

Here in given sequence 3584, 896, 224

first term = a = 3584

common ratio = r = 0.25

Therefore,

[tex]a_n=3584(0.25)^{n-1}[/tex]

[tex]\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]

"n" is a natural positive number greater than or equal to 1

Thus the explicit equation to find nth term is found

The given equation in standard form is:

[tex]3x+5y=7[/tex]

Step-by-step explanation:

Given equation is:

[tex]x = -\frac{5}{3}y+\frac{7}{3}[/tex]

The standard form of linear equation is:

[tex]Ax+By = C[/tex]

In order to convert the given equation in standard form

Multiplying both sides by 3

[tex]3x = -5y+7[/tex]

Adding 5y on both sides

[tex]3x+5y = -5y+5y+7\\3x+5y = 7[/tex]

Hence,

The given equation in standard form is:

[tex]3x+5y=7[/tex]

Keywords: Linear equation, variables

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Answer:

1=R, 2=O, 3=A, 4=D

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 of 9

" of " in math means multiply

1/2 * 9 = 9/2 or 4 1/2 or 4.5

Answer:

40

Step-by-step explanation:

Answer:

79.1 ft. I just took the test and got it correct. (:

To find the length of the guy wire attached to a cell phone tower, use the Pythagorean theorem to calculate the total length of the wire. In this case, the approximate length of the guy wire is about 79.06 ft.

The length of the guy-wire can be calculated using the Pythagorean theorem.

First, find the height of the guy-wire, which is the same as the height of the tower: 75 ft.

Next, use the Pythagorean theorem to find the length of the guy-wire: Guy-wire length = [tex]\sqrt{(752 + 252)}[/tex] = [tex]\sqrt{(5625 + 625) }[/tex]= [tex]\sqrt{6250}[/tex] = 79.06 ft (approximate).

The function that correctly represents the pattern in the given table is y = 2x + 1, which means that, for each input X, you multiply by 2 and then add 1 to obtain output Y.

The table of values given indicates a linear relationship between X and Y. If we look closely, we can see that for every unit increase in X, Y increases by 2 units. This pattern indicates that the function is characterized by the equation y = 2x + 1.

So, the correct answer is C) y = 2x + 1. This means that Y is twice the value of X plus 1. In simpler terms, we multiply the input variable (X) by 2 and then add 1 to determine the output (Y).

None of the other given function expressions correctly describe the pattern observed in the table.

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The expression for the function is y=2x. Y is double x.

The function that relates the values of X and Y in the given table is y = 2x. This means that the value of Y is twice the value of X. For example, when X=3, Y=6 because 2*3=6. This pattern holds true for all the other values in the table.

Option A) y= 2x is the correct expression for this function as it shows that Y is double X. Therefore, the answer to this question is A) y= 2x. Y is double x.

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Final answer:

The 5 in 11.205 is in the thousandths place and represents 0.005, while the 5 in 5.32 is in the units place, representing 5. The 5 in 5.32 is one thousand times the value of the 5 in 11.205, and vice versa.

Explanation:

The relationship between the 5 in 11.205 and the 5 in 5.32 can be described in terms of their place values. In the number 11.205, the 5 is in the thousandths place, which means it represents 5 thousandths or 0.005. In the number 5.32, the 5 is in the units place, which means it represents 5 ones or simply 5.

To compare their values, we can say that the 5 in 5.32 is one thousand times the value of the 5 in 11.205 because 5 divided by 0.005 equals 1000. Alternatively, we could say the 5 in 11.205 is one thousandth the value of the 5 in 5.32.

These comparisons are based on the understanding of place value in decimal numbers, where each position to the left or right of the decimal point represents a power of 10. Therefore, the value of a digit is determined by its position relative to the decimal point.

1.[tex](-7,-3)[/tex]

2.[tex][5,\alpha )[/tex]

3.[tex](-4,-\alpha )[/tex]

4.[tex](-1,0)[/tex]

Explanation

a shaded circle in number line indicates that the number in the shaded point is also included in the interval. In the interval notation this limit is expressed using a square bracket.

A circle that is not shaded in a number line indicates that the number is not included in the interval. In interval notation a bracket is used to represent that point on the number line.

An arrow shows the extension to negative or positive infinity. The symbol [tex]\alpha[/tex] is used to represent infinity and is always included in bracket.

Answer:

0.8

Step-by-step explanation:

To calculate the cost of any item per pound, divide the cost of the item by its weight in pounds: cost ÷ pounds = cost per pound.

Hope This Helped!!

Answer:

0.8 is the unit price per pound

Step-by-step explanation:

If you divide the price ($16) by the amount (20 pounds) then you will get the unit price per pound (0.8)

So, 16 ÷ 20 = 0.8

Using Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=17^2-11^2[/tex]

[tex]\\ \sf\longmapsto P^2=289-121[/tex]

[tex]\\ \sf\longmapsto P^2=168[/tex]

[tex]\\ \sf\longmapsto P\approx 13[/tex]

Answer:

H=17B=11P=?Using Pythagorean theorem

Step-by-step explanation:

2 + 2 = 4 because 4 is a sum of 1-digit numbers

2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers

Step-by-step explanation:

Lets explain some important notes:

∵ 2 + 2 is the addition problem of two 1-digit numbers

∴ There sum will be 4 which is also 1-digit number

∴ 2 + 2 must be 4

∵ 22 is a two digit number

∴ Its value is 20 + 2 ⇒ not 2 + 2

∴ 2 + 2 can not be 22

2 + 2 = 4 because 4 is a sum of 1-digit numbers

2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers

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Answer:

4/21

Step-by-step explanation:

1. distribute

24p-8+9=3p+6-1

2. combine like terms on each side

24p+1=3p+5

3. solve for p

21p=4

p=4/21

Option d: reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.

Step-by-step explanation:

The parent function is [tex]f(x)=2^{x}[/tex]

The transformation function is [tex]g(x)=3(2)^{-x} +2[/tex]

In the transformed function, the function is added +2, which shifts the graph by 2 units up.

Also, the function is multiplied by 3, which stretches the function [tex]f(x)=2^{x}[/tex]  vertically by a factor of 3 units.

The variable x is multiplied by -1, such that the function reflects across y-axis.

Thus, the correct answer is option d.

The graph is attached below which shows the parent function and the transformed function.

The transformation function is reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.

Answer:

d

Step-by-step explanation:

Answer:0.6 cents

Step-by-step explanation:

Answer:

s=25

Step-by-step explanation:

8(5s-13)-16(2s+6)=0

40s-104-32s-96=0

40s-32s-104-96=0

8s-104-96=0

8s-200=0

8s=0+200

8s=200

s=200/8

s=25

Answer: s=25

Step-by-step explanation:

Answer:

The number of bags of cookies do they make together is 11 .

Step-by-step explanation:

Given as :

The number of cookies baked by Glen alone = x = 16 cookies

The number of cookies baked by Alice alone = y = 32 cookies

Let the number of cookies baked by both together = z cookies

Now, According to question

Number of cookies baked by both together = number of cookies baked by Glen alone + number of cookies baked by Alice alone

Or, [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{x}[/tex] + [tex]\dfrac{1}{y}[/tex]

Or,  [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{16}[/tex] + [tex]\dfrac{1}{32}[/tex]

Taking LCM

[tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{2 + 1}{32}[/tex]

Or,  [tex]\dfrac{1}{z}[/tex] = [tex]\frac{3}{32}[/tex]

Or, z = [tex]\dfrac{32}{3}[/tex]

i.e z = 10.67 ≈ 11

So, The number of bags of cookies do they make together = z = 11

Hence, The number of bags of cookies do they make together is 11 . Answer

Answer: total comes to 4X - 12Y + 4

Step-by-step explanation:

Answer:

7x - 4y - 8 -3x - 8y + 12

Step-by-step explanation:

7x - 3x = 4x

-4y - 8y = 12y

-8 + 12 = 4

4x - 12y + 4

plz mark brainliest i just need 3 more until expert plz plz plz

Answer:

Step-by-step explanation:

The original amount there should be:

20 x 25 = 500

Take the extra 5 chairs and subtract it from the original amount, 500.

500 - 5 = 495  

Therefore, the amount of chairs that got set up would be 495.

I hope this helped! :)

Answer:

[tex]\dfrac{x^2}{4}+\dfrac{y^2}{16}=1[/tex]

Step-by-step explanation:

If the ellipse has its x-intercepts at points (2, 0) and (-2, 0) and y-intercepts at points (0, 4) and (0, -4), then its symmetric across the y-axis and across the x-axis.

Moreover,

[tex]a=2\\ \\b=4[/tex]

The equation of such ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

Hence, the equation of the ellipse is

[tex]\dfrac{x^2}{2^2}+\dfrac{y^2}{4^2}=1\\ \\ \\\dfrac{x^2}{4}+\dfrac{y^2}{16}=1[/tex]

Answer:

Step-by-step explanation:

each side is 21 inches long.

4x+3=21

subtract 3 from both sides

4x=18

x=4.5

Answer:

4.5

Step-by-step explanation:

Since its an equilateral triangle, all the sides are equal.

SO, you can set up the equation:

3 ( 4x + 3 ) = 63

Start by disributing

12x + 9 =63

Subtract 9 from each side to isolate the variable

12x = 54

Divide both sides by 12

x = 4.5

A system of equations can be used to represent the situation. The system can be set up with x representing the price of a T-shirt and y representing the price of a pair of jeans.

To represent this situation, we can set up a system of equations. Let x represent the price of a T-shirt and y represent the price of a pair of jeans.

The first equation will be: 4x + 3y = 181, since Salazar bought 4 T-shirts and 3 pairs of jeans for $181.

The second equation will be: x + 2y = 94, since Jenna bought 1 T-shirt and 2 pairs of jeans for $94.

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m∠S = 45°

Solution:

Given ∠R = 3x°, ∠S = 2x°, ∠T = 3x°.

Sum of the angles of a triangle = 180°

⇒ m∠R + m∠T + m∠S = 180°

⇒ 3x° + 3x° + 2x° = 180°

Adding all the angles.

⇒ 8x° = 180°

Divide both sides of the equation by 8, we get

⇒ x° = 22.5°

Substitute x = 22.5° in m∠S.

⇒ m∠S = 2 × 22.5°

⇒ m∠S = 45°

Hence, m∠S = 45°.

Answer:

Step-by-step explanation:

7,014,999,999 rounded to the nearest hundred thousand

7,015,000,000 <===