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3 years ago

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Hypothesis: Family centered care is a significant predictor of children's health-related quality of life, independent of illness

severity. This hypothesis is a ____________ hypothesis.

1 answer:

Nostrana [21]3 years ago

8 0

Answer:

This hypothesis is a Directional Hypothesis.

Step-by-step explanation:

Family centered care is a significant predictor of children's health-related quality of life, independent of illness severity.

This hypothesis is a Directional Hypothesis.

Directional hypothesis predicts the way in which the independent variable will affect the dependent variable.

Here, independent variable is - family centered care

Dependent variable is - health related quality of life

We can see that when family centered care is of great quality, there is no severe illness for children.

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You just add all of the numbers up.

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3 years ago

What is the inverse function of y=x^2-7

Vikentia [17]

With inverse functions you just swap 'x' and 'y' and solve for 'y'.

$\sf y=x^2-7$

Swap 'x' and 'y':

$\sf x=y^2-7$

Add 7 to both sides:

$\sf x+7=y^2$

Take the square root of both sides:

$\sf y=\boxed{\sf\pm\sqrt{x+7}}$

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3 years ago

Answer fast!<br>Find the lateral surface area of the solid above.

MakcuM [25]

Answer:

168 cm²

Explanation:

Lateral surface area of triangular prism: (perimeter of base) × height

Here given:

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b = 6 cm

c = 4 cm

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So, lateral surface area:

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1 year ago

Read 2 more answers

A loan is paid off in 30 years with a total of $99,000. It had a 3% interest rate that compounded monthly. What was the principa

gayaneshka [121]

Answer:

The principle will be "40295.63". A further explanation is given below.

Step-by-step explanation:

The given values are:

Total amount,

A = 99,000

Rate of interest,

R = 3%

Time period,

T = 30 years

= 360 months

As we know,

⇒ $A=P(1+\frac{{\frac{R}{12} }}{100} )^T$

On substituting the values, we get

⇒ $99000=P(1+\frac{\frac{3}{12}}{100})^{360}$

⇒ $99000=P(1+\frac{\frac{1}{4} }{100}) ^{360}$

⇒ $P=\frac{99000}{(1.0025)^{360}}$

⇒ $P=40295.63$

4 0

2 years ago

Find the solutions to x⁴-5x²-36=0 and the x-intercepts of the graph of y=x⁴-5x²-36.

disa [49]

Answer:

The solutions $x^4-5x^2-36=0$ are $x=3,\:x=-3,\:x=2i,\:x=-2i$ and the x-intercepts of $y=x^4-5x^2-36$ are $x=3,\:x=-3$

Step-by-step explanation:

Finding the solutions to $x^4-5x^2-36$ means finding the roots, a root is where the function is equal to zero.

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

To find the roots you need to:

Rewrite the equation with $u=x^2$ and $u^2=x^4$

$u^2-5u-36=0$

Solve by factoring

$\mathrm{Break\:the\:expression\:into\:groups}\\u^2-5u-36=\left(u^2+4u\right)+\left(-9u-36\right)$

$\mathrm{Factor\:out\:}u\mathrm{\:from\:}u^2+4u=u\left(u+4\right)$

$\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9u-36=-9\left(u+4\right)$

$u^2-5u-36=u\left(u+4\right)-9\left(u+4\right)$

$\mathrm{Factor\:out\:common\:term\:}u+4\\\left(u+4\right)\left(u-9\right)$

$u^2-5u-36=\left(u+4\right)\left(u-9\right)=0$

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions to the quadratic equation are:

$\:u=-4,\:u=9$

Substitute back $u=x^2$ , solve for x

$x^4-5x^2-36=(u-9)(u+4)=(x^2-9)(x^2+4)$

Apply the difference of squares formula

$x^4-5x^2-36=(x^2-9)(x^2+4)=(x-3)(x+3)(x^2+4)$

$(x-3)(x+3)(x^2+4)=0$

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions are:

$\:x=3,\:x=-3,\:x=2i,\:x=-2i$

Because two of the solutions are complex roots the only x-intercepts are $x=3,\:x=-3$

3 0

3 years ago