The sum of two times x and 3 times y is 5. The difference of x and y is 5. Write two equations and graph to find the value of y.

Answer:

Step-by-step explanation:480 x o.75=360

and now you add this amount on payed

360 + 480=840 was original price

Answer:

(0,5)

Step-by-step explanation:

f(x) = x^2 + 3x + 5

The y intercept is when x =0

f(0) = 0 + 3*0 + 5

f(0) = 5

(0,5)

The true statement is Statement A which is dogs of breed B typically weigh more than dogs of breed A using histogram in probability concept.

The likelihood of each possible occurrence is displayed on the y-axis of a probability histogram. A histogram is a statistical data display that makes use of rectangles to illustrate the frequency of data items in successive numerical intervals of equal size. The dependent variable is plotted along the vertical axis in the most typical type of histogram, while the independent variable is plotted along the horizontal axis. The distribution of data is depicted graphically in a histogram. A collection of neighboring rectangles, each with a bar that represents a certain type of data, is used to illustrate a histogram. Fill L1 with the values of the random variable (remember to use the class midpoints for continuous random variables). The associated percentages should be entered into L2 with a decimal format.

To know more about histograms in probability, visit:

https://brainly.com/question/16819077

#SPJ9

Answer: n^2

Step-by-step explanation:

The output for each input matches the function.

3²=9

5²=25

7²=49

Answer:

1.57283367316E22 ooooooooooooooo

Answer:

1.57283 × 10^{22}

Step-by-step explanation:

Multiply the numbers first, then calculate the difference.

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

for such more questions on  probability

https://brainly.com/question/29070527

#SPJ8

Answer:

it od domedfg

Step-by-step explanation:

hihihi

Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

Learn more about Intersecting Secant-Tangent Theorem on:

brainly.com/question/27160891

#SPJ1

We have 4 numbers and we have to sort them from greatest to least.

If we ordered them we have: 0.78, 0.49, 0.46..., 0.428471...

This corresponds to Athena, Christian, Alexis, Lokyn.

Other way to solve it would have been to look for the common denominator for all this numbers, and then compare the numerators.

By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

The Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.

ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).

Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

Substituting the given values, we get:

2/c = [ 2ln7 - 2ln1 ] / (7 - 1)

2/c = ln7

c = 2 / ln7

c ≈ 0.909

Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

Learn more about mean on:

https://brainly.com/question/1136789

#SPJ1

The correct statement are;

B. Katarina has 375 star stickers.

D. 75% of the stickers are stars.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.

Now,

Since, Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.

Hence, The number of hearts = 25% of 500

                                              = 25/100 × 500

                                              = 25 × 5

                                              = 125

And, Number of stars = 500 - 125

                                  = 375

                                  = 75% of 500

Thus, The correct statement are;

B. Katarina has 375 star stickers.

D. 75% of the stickers are stars.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Answer:

4.1

Step-by-step explanation:

1.8 x 0.5 = 0.9

0.5 x 0.5 = 0.25

2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)

2 x 2.05 = 4.1

Therefore the answer is 4.1

I hope that was helpful!

The quotient log 29 can be rewritten as 1 + log 2.9.

The quotient of two numbers is the result of dividing one number by another. In mathematics, the logarithm is the inverse operation to exponentiation, just as division is the inverse of multiplication.

A logarithm is the exponent that a fixed base must be raised to produce a given number. The notation logx (read "log base x") denotes the logarithm of a number with respect to a base x.

Hence, when we say the quotient log 29, it implies that we need to determine the logarithm of 29, which we can represent as log 29, as there is no base specified. In general, we assume the base to be 10.

Now, we have:

`log 29`

To rewrite this quotient, we can consider the following steps:

Step 1: Break the number down into factors

29 is a prime number; it is not divisible by any other number except for 1 and itself. Therefore, we cannot break it down into factors.

Step 2: Find the prime factorization of the divisor

Since the divisor is not provided, we cannot perform this step.

Step 3: Apply the quotient rule of logarithms

The quotient rule of logarithms states that:

log (a / b) = log a - log b

We can use this rule to rewrite `log 29` as follows:

`log 29 = log (10 * 2.9)`

`log 29 = log 10 + log 2.9`

`log 29 = 1 + log 2.9`

To learn more about : quotient

https://brainly.com/question/11418015

#SPJ8

Answer:

Make the -4 exponent in the denominator positive.

Explanation

Given

We can approximate to the nearest thousandth by rounding the number to 3 places after the decimal point.

Answer:

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

learn more on kite here: https://brainly.com/question/27975644

#SPJ9

The simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

The given expression is simplified as follows;

The given expression is written as;

ab³/a⁴b  +  (c²)³

To simplify the expression given above, we will divide the fraction with the common factor as follows;

From the numerator; ab³, we will factor out "ab"

From denominator; a⁴b, we will factor out "ab"

The resulting expression becomes;

ab³/a⁴b  +  (c²)³

= b²/a³  +  c⁶

Note: for the power of c, we simplify by multiplying 2 and 3 = 6

Thus, the simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

Learn more about simplification here: https://brainly.com/question/28008382

#SPJ1

To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)

Answer:

The sample mean is 59

Step-by-step explanation:

From the confidence interval given above, it can be said that the sample mean is between a lower limit of 56 and an upper limit of 62

Margin of Error (E) = (upper limit - lower limit) ÷ 2 = (62 - 56) ÷ 2 = 6 ÷ 2 = 3

Sample mean = lower limit + E = 56 + 3 = 59

∠G+∠H+∠J=180 and ∠K+∠L+∠M=180 from the angle sum property of triangle, ∠H=∠L (3rd Angle Theorem) and ∆GHJ≅∆KLM from ASA congruency theorem.

In the given question we have to prove ∆GHJ congrurnce ∆KLM.

Given that: ∠G≅∠K, ∠J≅∠M, \(\over{HJ}\) ≅ \(\over{LM}\).

As given that;

∠G≅∠K

∠J≅∠M

\(\over{HJ}\) ≅ \(\over{LM}\)

So from the angle sum property of triangle

∠G+∠H+∠J=180................(1)

∠K+∠L+∠M=180.................(2)

Now equation equation 1 and 2

∠G+∠H+∠J=∠K+∠L+∠M

As we know that ∠G=∠K, ∠J=∠M

So now the expression is

∠G+∠H+∠J=∠G+∠L+∠J

After solving ∠H=∠L (3rd Angle Theorem)

Since, ∠H=∠L, HJ=LM and ∠G=∠K, so from the theorem Angle Side Angle(ASA) congruency,

∆GHJ≅∆KLM

To learn more about ASA congruency theorem link is here

brainly.com/question/1593616

#SPJ1

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Answer:

Hope this helps ;)

Step-by-step explanation:

To find the time it takes the T-shirt to reach its maximum height, we need to find the value of t when the velocity of the T-shirt is zero, because at this point the T-shirt has reached its maximum height and starts falling back down. We can find the velocity of the T-shirt by taking the derivative of the height equation with respect to time:

v(t) = h'(t) = 72

The velocity of the T-shirt is a constant 72 feet per second, so it will never reach a velocity of zero and will never reach its maximum height. The T-shirt will keep going up indefinitely.

If the problem had specified that the T-shirt was launched with an initial upward velocity of -72 feet per second (meaning it was launched downward), then we could have found the time it takes the T-shirt to reach its maximum height by setting v(t) = 0 and solving for t. In this case, we would find that t = 1, so it would take the T-shirt 1 second to reach its maximum height. The maximum height would be h(1) = -16 + 72(1) + 6 = 62 feet.

Use the properties of the real numbers to simplify each side of each equation. Then, use the properties of equalities to solve for x.

1)

Use the distributive property to expand each parenthesis on the left hand side of the equation:

Simplify each term by multiplying the coefficients times the expressions inside the parenthesis:

Use the commutative property to change the order of the terms on the left hand side of the equation to bring like terms together. Then, add them:

Substract x from each side of the equation:

Substract 1200 from each side of the equation:

Divide both sides by -37:

Since 1185/37 is a rational number, then this equation has a rational solution.

2)

Use the distributive property to expand the parenthesis on each side of the equation, and simplify the resulting expressions:

Since the expression 8x+24=8x+24 is an identity (the coefficients and constant terms are the same on both sides), then any number is a solution for this equation on the variable x.

Therefore, this equations has infinitely many solutions.

Answer:

Step-by-step explanation:

The adjacent angle to the missing angle must sum to 180 degrees. So a=180-74=106 degrees. The sum of the three angles of the triangle must also sum to 180.

x+49+106=180

x+155=180

x=25

Answer:

106

Step-by-step explanation:

x+49=74

x=74-49=25

y=74=180

y=180-74=106

im sorry im late if u see this yw!

Answer:

maximum height is 45/4 in feet

The maximum height of the ball is 45/4 in feet

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given tha Pam kicked a soccer ball down the field. Part of the ball's path, including its highest point, is described by the function below, where f(x) is the height of the ball in feet.

F(x)= 12x^2+2x        

Thus for this quadratic , the max value will occur at x= -b/2a

=  - 2 / (2 x 1/12) = -12

Plug in -12 to find the max height

= (-12)^2 + 2 x-12

=  45/4 in feet

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

5=148 and 8=32

Step-by-step explanation:

For this equation we know since the lines are parelle that they will produce the same angle degrees.

so 2,4,6,and 8 are all 32

if we subtract 180 (the dregree of a stright line) from 32 we get 148

so 148 is for 1,3,5, and 7

The average world population during the time period of 1950 to 2000 is approximately 4.7 billion.

To estimate the average world population, we need to evaluate the population at both endpoints and then take the average.

Substituting t = 0 (which corresponds to the year 1950) into the equation, we get:

P(0) = 2560e^(0.017185*0) = 2560

So the estimated world population in 1950 was 2560 million.

Substituting t = 50 (which corresponds to the year 2000) we get:

P(50) = 2560e^(0.017185*50) = 6789.9...

Rounding to the nearest million, we get P(50) ≈ 6790 million.

The average world population during the time period of 1950 to 2000 is approximately (2560+6790)/2 = 4675 million, or 4.7 billion (rounded to the nearest billion).

To know more about Average:

https://brainly.com/question/2906096

#SPJ4