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julia-pushkina [17]
3 years ago
6

A mother gives birth to a 9 pound baby. every 4 months, the baby gained 2 pounds. if x is the age of the baby in months, then y

is the weight of the baby in pounds. find an equation of a line in the form y = mx + b that describes the baby's weight.
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0
For the equation of the line of the form y = mx + b, m is the slope of the line and b is the y-intercept which is the value of y when x is equal to zero. The slope is the rate of change of y per change in x. "y" would represent the dependent variable which is the weight of the baby while "x" represents the independent variable which is the number of months or the age of the baby in months. We calculate the slope as follows:

slope = (11 - 9) / ( 4 - 0) = 2/4 = 0.5
at x = 0, it is said that the weight of the baby is 9 lbs so the value of b would be 9.

The equation of the line would be y = 0.5x + 9
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Advocard [28]

Answer:30

Step-by-step explanation:

Since it is a right angled triangle we can apply Pythagoras principle to get y

Adjacent=a=18

Opposite=k=24

Hypotenuse =y

y=√(k^2+a^2)

y=√(24^2+18^2)

y=√(24x24+18x18)

y=√(576+342)

y=√(900)

y=30

8 0
3 years ago
Can someone help me with number 3 please??!!
ipn [44]
There are 2 way to solve this.

one using Pythagoras theorem and 2nd using trigonometry

so lets solve it by both

using Pythagoras theorem we know

base^2 + perpendicular^2 = hypotanes^2

6^2 + x^2 = 12^2

36 + x^2 = 144

x^2 = 144- 36 = 108

x = √(108) = √( 2×2×3×3×3)

= (2×3) √ (3) = 6 √3

so answer is option 2

bow lets use trigonometry

we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
7 0
3 years ago
8tbsp. 2tsp.<br> x 15<br> _________
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2 years ago
Real Answers Only!!!!
lyudmila [28]

Answer:

The correct answer is C) Reflection across the Y-axis.

Step-by-step explanation:

This is because only the x-coordinates changed. If these coordinates were reflected across both the x and y axis' the sign of both the x and y coordinates would have changed. When  you reflect a point across the x axis, the y-coordinates change their sign. When you <u><em>reflect </em></u><u>a point across the y axis</u>, the <u>x-coordinates change</u> their sign.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

5 0
3 years ago
A child weighing 22.5 kg has an IV order for Vancomycin Calculate the q8h per dose dosage if the label states that
vodka [1.7K]

Answer:

q8h dosage = 112.5mg

Step-by-step explanation:

Given

Child Weight = 22.5 kg

Daily Intravenous Dosage = 40mg/kg

Type of Dose = q8h

Required

Calculate the q8h per dose

We start by calculating the total daily dosage in mg

This is calculated by multiplying the child weight by the intravenous dosage

Daily Dosage = 22.5kg * 40mg/kg

Daily Dosage = 900mg

This implies that the body weight requires 900 mg daily

Next is to calculate the q8h dosage

q8h means every 8 hours.

q8h dosage = 900mg/8

q8h dosage = 112.5mg

6 0
3 years ago
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