The sum of two numbers is 4 1/2. The difference is 3 1/4. Find the numbers.

The slope-intercept equation of the line is obtained as y  = -1/3x - 3.

For the stated question,

Passes points (x1, y1) = (3,-4).

slope m = -1/3

Slope-intercept equation for the equation of the line is obtained using two point form equation-

y - y1 = m(x - x1)

y - (-4) = (-1/3)(x - 3)

y + 4 = -1/3x + 1

y  = -1/3x - 3

In which slope is -1/3  and y-intercept is -3.

Thus, the slope-intercept equation of line is obtained as y  = -1/3x - 3.

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Answer:

y=6^x+0.612 - 4

Step-by-step explanation:

x = -4 ---> horizontal asymptote

m = 6 ---> use points (0, -1) and (1, 5)

Parent function of the graph: \(y=b^x\)

Our equation: \(y=6^x\)

Add alterations:

Final equation: y=6^x+0.612 - 4

The confounding variable which is controlled by randomly assigning individuals to treatments is: C. the time of day participants drank the beverages.

A confounding variable is also referred to as a confounder and it can be defined as a type of variable that has the ability to influence both the independent and dependent variables.

Also, a confounding variable is usually not accounted for by the researcher and as such it can cause a spurious association between the independent and dependent variables.

In this context, we can infer and logically deduce that the time of day at which participants drank the beverages is a confounding variable which is controlled by randomly assigning individuals to treatments.

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Answer:

C.  136

Step-by-step explanation:

Add up the surface areas of each individual section. Area is length times width.

Lets start by figuring out the area of the 2 by 6 rectangle on the bottom. 2cm*6cm=12 sq cm. The rectangle on the top right also has an area of 2cm*6cm. So it also has an area of 12 sq cm. lets figure out the area of the smaller rectangle on the right side. 7cm times 2 cm equals 14 cm squared. There is also a 7cm by 2cm box in the middle of the pattern. so 14 + 14 = 28, + 12 + 12= 52. so all of the tiny rectangles added up equal 52. Finally, lets figure out the area of the two 6*7 rectangles. 6*7= 42. 42*2= 84. 84 is the area of the two big rectangles added together. So add the two totals to get 52 sq cm+ 84 sq. cm = 136 sq. cm.

Answer:

Total profit=$35x+$18(130-x)

Total profit=$35x+$2340-$18x

Total profit=$17x+$2340

Step-by-step explanation:

Answer:

-50

i have made it in the above picture

hope it helps

Step-by-step explanation:

2/5 (j + 40) = -4

(j + 40) =-10

j=-50

Hope it helps

Answer:

it would be the top

Step-by-step explanation:

it has a negative slope and goes up 3

The value of the z-score for the number 15  in a data set is 0.93.

Define z-score.

A data point's z-score, also known as a standard score, indicates how far it deviates from the mean. In practical terms, however, it's a measurement of how many standard deviations a raw number is from or above the population mean.

You can plot a z-score on a normal distribution graph. Z-scores can be anywhere between -3 and +3 standard deviations.

                     ∴  z = (x – μ) / σ

Given:

σ = 4.32

x = 15

Data set: 5, 7, 9, 11, 13, 15, 17

So, mean = 5 + 7 + 9 + 11 + 13 + 15 + 17/7

                = 77/7

            μ = 11

z = (x – μ) / σ

  = (15 - 11)/4.32

   = 4/4.32

z  = 0.93

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Answer:

Multiply each of the 3 prices by the associated probability, and then add up these three products:

($48)(1/2) + ($56)(1/8) + ($72)(3/8) = $24 + $7 + $27 = $58 (answer)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

if pq = qr, x+1 = 11+1=12

thus x = 1

Let's define

x: time, in hours

Mime A charges 90 + 25x dollars

Mime B charges 45 + 40x dollars

If both mimes charge the same amount of money:

90 + 25x = 45 + 40x

90 - 45 = 40x - 25x

45 = 15x

45/15 = x

3 = x

The two mimes will charge the same amount of money after 3 hours.

Answer:

9

Step-by-step explanation:

Use the right triangle altitude theorem.

AD/AB = AB/AC

4/6 = 6/x

4x = 36

x = 9

AC = 9

Hi there!

So we know that the total would be $581 and so we also know that the washer cost 69 less than the dryer...

Let think...if we want to find the total, we should add 81 and 69 first...

\(81+69=150\)

Now we can subtract 362 by 150 as a try...

\(362+150=512\)

Now let try again...

If it would be 325 as the dryer, then the cost of the washer would be $69 less.

\(325-69=256\)

Ok so this means that if we add the two numbers, we’ll get 581 if it is right...

\(256+325=581\)

Perfect, so this means that the cost of the dryer is in fact 325$ and the washer would be the cost of 256$.

Answer:

Step-by-step explanation:

8.008.009

\(4x + 2 > - 10 \\ 4x > - 10 - 2 \\ 4x > - 12 \\ x > - 3\)

Answer:

x>-3

Step-by-step explanation:

4x+2>-10

= 4x>-12

=x>-3

Hope it helps!       :3

Plz mark as brainliest!

Answer:

Dang someone come help him

Step-by-step explanation:

The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Answer:

Kaylee must leave the money in the savings account for 3 years.

Step-by-step explanation:

Given that Kaylee wants to buy a car that costs $ 17,360, and she deposits $ 14,000 in a savings account that earns 8% simple interest, to determine how long was Kaylee leave the money in the savings account to be able to buy the car must be made the following calculation:

14,000 + (14,000 x 0.08 x X) = 17360

1,120X = 17,360 - 14,000

X = 3,360 / 1,120

X = 3

Therefore, Kaylee must leave the money in the savings account for 3 years.

Answer:

41.93 degrees

Step-by-step explanation:

we know that

the dimensions of the first garden are------> 5 ft x 3 ft

perimeter first garden=2*[5+3]-----> 16 ft

the dimensions of the second garden are---> (5*2) ft x (3*2) ft

10 ft x 6 ft

perimeter second garden=2*[10+6]-----> 32 ft

so

The answer is

32

Answer:

0

Step-by-step explanation:

7 + (-8) + 2 + (-1)

is the same as:

7 - 8 + 2 - 1

Simplify these:

-1 + 1

Solve:

0

Answer:

a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x  ∃y P(x,y)  ∧ ¬Q(x,y) ]

b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y  [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]

c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)]  ∨ ∃x ∃y ¬ [Q(x,y)]

Step-by-step explanation:

a.∃x ∀y(P(x,y) → Q(x,y))

Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]

                = ∀x  ¬ [ ∀y(P(x,y) → Q(x,y)) ]

                = ∀x  ∃y ¬ [ (P(x,y) → Q(x,y)) ]

                = ∀x  ∃y ¬ [  ¬P(x,y)  ∨ Q(x,y) ]

                = ∀x  ∃y P(x,y)  ∧ ¬Q(x,y) ]

Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x  ∃y P(x,y)  ∧ ¬Q(x,y) ]

b. ∃x ∀y(P(x,y) → P(y,x))

Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]

               = ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]

               = ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]

               = ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]

               = ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]

               = ∀x ∃y  [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]

∴ we get

Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y  [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]

c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)

Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]

                = ¬ [ ∃x ∃y P(x,y) ]  ∨ ¬ [ ∀x ∀y Q(x,y) ]

                = ∀x¬ [  ∃y P(x,y) ]  ∨ ∃x ¬ [ ∀y Q(x,y) ]

                = ∀x ∀y ¬ [ P(x,y) ]  ∨ ∃x ∃y ¬ [ Q(x,y) ]

∴ we get

Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ]  ∨ ∃x ∃y ¬ [ Q(x,y) ]

9514 1404 393

Answer:

  D.  -1/6

Step-by-step explanation:

Your calculator can tell you the answer to this.

  \(-\dfrac{1}{2}+\left(\dfrac{3}{4}\cdot\dfrac{4}{9}\right)=-1/2+\dfrac{4\cdot3}{4\cdot9}=-\dfrac{1}{2}+\dfrac{3}{9}\\\\=-\dfrac{1}{2}+\dfrac{1}{3}=-\dfrac{3}{6}+\dfrac{2}{6}=\boxed{-\dfrac{1}{6}}\)

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Answer:

\(P_{B}\) = 80

Step-by-step explanation:

given 2 similar figures with ratio of sides = a : b

then ratio of perimeters is also a : b

here ratio of sides = 24 : 15 = 8 : 5

the ratio of perimeters is also 8 : 5

then by proportion

\(\frac{ratioA}{P_{A} }\) = \(\frac{ratioB}{P_{B} }\) , that is

\(\frac{8}{128}\) = \(\frac{5}{P_{B} }\) ( cross- multiply )

8 \(P_{B}\) = 5 × 128 = 640 ( divide both sides by 8 )

\(P_{B}\) = 80

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Answer:

Step-by-step explanation:

The equation y = 5x - 2 is slope-intercept form of linear function.

It has positive slope of 5, therefore is increasing function, the line goes up from left to right on the coordinate plane

The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32

From the question, we have the following parameters that can be used in our computation:

The chess board

From the chess board, we have

Black squares = 32

White squares = 32

When factorized, we have

Black squares = 32 = 8 * 2²

White squared = 32 = 8 * 2²

Hence, the equation that represents the squares on the chess board is 8 * 2² = 32

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