Pavan saves $x each month.His two brothers each save $4 more than Pavan each month.
Altogether the three boys save $26 each month.
(a) Write down an equation in x.

Answer:

g= - 27

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-12 + 20 = 8

8/-4 = -2

Answer:

-2

Step-by-step explanation:

add -12+20

20-12 = 8

Then divide by -4

8/-4 = -2

Answer:

Response Bias

Explanation:

Response bias occurs when participants in a research study have a tendency to reply falsely to research surveys. It is mainly caused by poor survey design, example ambiguous use of likert scale in survey questions. In this case, participants have a pre-recorded response to survey questions which would not accurately represent the population as participant replies are likely to be false.

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

A linear model (equation of line) that describes the growth of the organism for the time period given is y = 46/5(x) + 16.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided, we have the following equation that represents the relationship between the number of hours and the weight;

y = mx + c

y = 46/5(x) + 16

Read more on y-intercept here: brainly.com/question/6240745

#SPJ1

Answer:

1. -19  

2. all real numbers are solutions

Step-by-step explanation:

Answer:

pull out like factors

-x - 19  =   -1 • (x + 19)

 -x - 19  = 0

 -x = 19

x = -19

4x + 4 = 4x + 4

Identity

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

For more questions on Value .

https://brainly.com/question/843074

#SPJ8

Answer:The correct answer is 8,445 not 6,445 so the answer would be option C

Step-by-step explanation: if you write down the problem 2815 times 3 you first multiply 5 by 3 thats 15, so that means that they forgot to add the regrouping number

Answer:

A. x = 58°

B. x = 10m

C. a = 44°

All approximated to nearest whole number.

Step-by-step explanation:

All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.

Recall: SOHCAHTOA

a. Adjacent = 4.8cm,

Hypotenuse = 9cm

Angle to find =x°

Thus, we would apply the following formula:

Cos θ = Adjacent/Hypotenuse

Cos θ = 4.8/9 = 0.5333

θ = Cos-¹(0.5333) = 57.77

x ≈ 58° (to nearest whole number)

b. Opposite side = x

Hypothenuse = 40 m

Included angle = 14°

We would use:

Sine θ = opposite/hypothenuse

Sin (14) = x/40

Multiply both sides by 40

40*sin(14) = x

40*0.2419 = x

x = 9.676 = 10 m (to nearest whole number)

c. Opposite = 87mm

Adjacent = 91mm

θ = a°

We would use:

Tan θ = opposite/adjacent

Tan θ = 87/91

Tan θ = 0.9560

θ = tan-¹(0.9560)

θ = a = 43.71

a ≈ 44° (to nearest whole number)

Answer:

85

Step-by-step explanation:

Mean = Sum of the terms / Number of terms

Answer:

Exactly 16%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean of a certain set of measurements is 27 with a standard deviation of 14.

This means that \(\mu = 27, \sigma = 14\)

The proportion of measurements that is less  than 13 is

This is the p-value of Z when X = 13, so:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{13 - 27}{14}\)

\(Z = -1\)

\(Z = -1\) has a p-value of 0.16, and thus, the probability is: Exactly 16%.

Answer:

Step-by-step explanatio

Answer:

Step-by-step explanation:

Volume of the box:

New volume:

1.656 times increase is equivalent of 65.6% increase

Answer:

Please give brainliest

Step-by-step explanation:

c

\(0.00023\)×\(1\)×\(10^{6}\)

= 0.00023 x 1×10×10×10×10×10×10

= 0.00023 x 1000000

= 230 mL

Formula: kL x 1000000 = mL

Option A is the answer of this question.

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

An equation is an expression that shows the relationship between two or more numbers and variables.

The zeros of the function is at:

g(x) = 0, hence:

x³ - x² - 4x + 4 = 0

(x - 1)(x² - 4) = 0

(x - 1)(x + 2)(x - 2) = 0

x = 1, x = -2 and x = 2

The y intercept is at x = 0, hence:

g(0) = 0³ - 0² - 4(0) + 4 = 4

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

Find out more on equation at: https://brainly.com/question/2972832

The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

Learn more about finding average values at https://brainly.com/question/11874959

#SPJ1

What was the average number of enrollments per day?

Answer:

3

Step-by-step explanation:

Please Mark me brainliest

Answer:

aren't one of the numbers in the equations supposed to be negative?

The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

for such more question on system of equations

https://brainly.com/question/4262258

#SPJ8

Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

Answer:

In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x)… ... parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 1. 2 ... Re-write the transformed function by taking -2 common,. Step 1 -. Shift 2 unit left i.e, f(x)→f(x+b) shifting left by b unit.

Step-by-step explanation:

Answer:

Democratic is the one that says the government should play an active role. Republican is the second choice (should be limited)

Answer: For the first, (goverment should play an active role in resolving social or economic issues) would be the Democratic Party.

And the Second (Government power should be limited and not used to resolve social or economic issues) is the republican.

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

Read more about combination at

brainly.com/question/11732255

#SPJ1

Answer:

Step-by-step explanation: The answer of this question is functional because of the dilemma of fractions make it functional.

Answer: yes

Step-by-step explanation: I think that the least confusing way to do this problem is to first write down the ordered pairs that are represented by this mapping diagram.

So we have {(6, -1), (-1, 2), (4, 3), (0, 3)}.

In order for this relation to be a function, the x-coordinate can only

appear once unless we have the same ordered pair more than once.

Since each x-coordinate does appear once, it must be a function.

Students often make the mistake of saying this relation is not a function

because we have the same y-coordinate in two different ordered pairs, 3.

In other words, looking at the mapping diagram students will say that this relation is not a function because we have two x's paired with the same y.

Remember however that the definition of a function doesn't

say that each x must be paired with a different y.

It says that each x must be paired with exactly one y.

So in summary, a function can have the same y-coordinate in

two different points, just not the same x-coordinate.

The exception to this would be if the same ordered pair

is listed more than once in which it would be a function.

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

For moresuch questions on equivalent visit:

https://brainly.com/question/2972832

#SPJ8

The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.

To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.

Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.

In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.

The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.

The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.

The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.

Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.

To learn more about the coordinates;

https://brainly.com/question/27749090

#SPJ1

Answer:

Step-by-step explanation: here I am pretty sure it is 6

Answer:

d) 1/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve this system of two equations with two variables (x and y), we'll use the substitution method. Here's how:

Solve one of the equations for either x or y, in terms of the other variable. Let's solve the first equation, 2x - 5y = 4, for x:

x = (4 + 5y)/2

Substitute the expression for x from step 1 into the second equation, 4x = 8 + 10y:

4(4 + 5y)/2 = 8 + 10y

Simplify the equation from step 2:

8 + 10y = 8 + 10y

Solve for y by subtracting 8 from both sides:

10y = 10y

Divide both sides by 10 to find the value of y:

y = y

Now that we have the value of y, we can substitute it back into the expression for x from step 1:

x = (4 + 5 *y)/2

So the solution to the system of equations is (x, y) = ((4 + 5 *y)/2, y=y).

Answer:

80

Step-by-step explanation: