Which point is a solution of x + 2y ≤ 4?
2 answers:
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Answer: y²z⁴ / x¹²
- The exponent for x is 12
- The exponent for y is 2
- The exponent for z is 4
Explanation:
1) The expression to simplify:
2) Rule: power of a power:
3) Rule: product of powers with identical bases
4) Add up the exponents
5) Transfer the negative exponent to the denominator:
The exponent attached to x is 12, for y it is 2, and for z it is 4.
Answer: D)
Step-by-step explanation:
Based on the provided information, we have
Sample size: n= 15
sample mean:
Sample standard deviation: s= $20
Since the population standard deviation is not known, we utilize a t-test.
For a significance level of 95% confidence:
Critical t-value : [Using the Student's t-value table]
The required 95% confidence interval yields:-
Thus, the sought-after 95% confidence interval for the mean amount spent by credit card customers during their initial visit to the new store in the mall, assuming normal distribution of the spending amounts, is:
Answer:
At h=0.1, the calculated value of y(1.2) equals 15.920, and for h=0.05, y(1.2) amounts to 16.523.
Step-by-step explanation:
Given,
with y(1)=9.
This means when x=1, y=9 initially.
To determine the value of y= f(x,y) at when h=0.1 and h=0.05, we will implement a C program using Euler's method resulting in, for h=0.1:
#include<stdio.h>
float fun(float x, float y)
{
float f;
f=2x+3y+1;
return f;
}
main()
{
float a,b,x,y,h,t,k;
printf("\ Enter x0,y0,h,xn:");
scanf("% f % f % f % f ", & a, &b, &h, &t);
x=a;
y=b;
printf("\n x\t y\n");
while (x<=t)
{ k=h*fun(x,y); x=x+h; y=y+k; printf("%0.3f\%0.3f\n",x,y);}}
Using initial values x0=1, y0=9, h=0.1, and xn=1.2, we reach results, y(1.2)=15.920.
Subsequently, using values x0=1, y0=9, with h=0.05, and xn=1.2 yields y(1.2)=16.523.
<span>Which formula can be applied to find the side length of the rhombus?
The correct answer is the first choice: 10/Cos(30°)
Explanation:
1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:
Cos(</span>α)=Adjacent side/Hypotenuse
<span>
</span>α=30°
<span> Adjacent side=(20 in)/2=10 in
Hypotenuse=x
2. Inputting these numbers into the equation yields:
</span>
Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x
3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:
x=10/Cos(30°)
</span>
The correct answer is the first choice: 10/Cos(30°)
Explanation:
1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:
Cos(</span>α)=Adjacent side/Hypotenuse
<span>
</span>α=30°
<span> Adjacent side=(20 in)/2=10 in
Hypotenuse=x
2. Inputting these numbers into the equation yields:
</span>
Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x
3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:
x=10/Cos(30°)
</span>