Type the correct answer in each box. Use numerals instead of words.
Consider function h.
What are the values of the function when x= 0 and when x=4
h(0)=
h(4)=
Answers
Answer:
10 16
Step-by-step explanation:
when x= 0 h(x)=2x²-3x+10
⇒ h(0)=2*0²-3*0+10=10
when x= 4 h(x)=[tex]2^{x}[/tex]
⇒ h(4)=[tex]2^{4}[/tex]=16
The value of the given piecewise function at [tex]x=0[/tex] is [tex]h(0)=10[/tex] and the value of the function at [tex]x=4[/tex] is [tex]h(4)=16[/tex].
Important information:
The given piecewise function is:[tex]h(x)=\begin{cases}3x-4, &x < 0 \\ 2x^2-3x+10, &0\leq x < 4 \\ 2^x, & x\geq 4\end{cases}[/tex]
Piecewise Function:The function for [tex]x=0[/tex] is [tex]h(x)=2x^2-3x+10[/tex].
[tex]h(0)=2(0)^2-3(0)+10[/tex]
[tex]h(0)=10[/tex]
The function for [tex]x=4[/tex] is [tex]h(x)=2^x[/tex].
[tex]h(4)=2^4[/tex]
[tex]h(4)=16[/tex]
Therefore, the required values of the piecewise function are [tex]h(0)=10[/tex] and [tex]h(4)=16[/tex].
Find out more about 'Piecewise Function' here:
https://brainly.com/question/17966003
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Answer:
Given
r = 1.6 cmh = 6.2 cma.
Volume of the half-sphere:
V/2 = 1/2*4/3*πr³ = 2/3*3.14*1.6³ = 8.6 cm³ (rounded)b.
Volume of the cylinder:
V = πr²h = 3.14*1.6²*6.2 = 49.8 cm³c.
Volume of the figure:
V = 8.6 + 49.8 = 58.4 cm³Which of the fractions below is closest to zero?
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Answers
Answer:
d.) 1/12
Step-by-step explanation:
As it is equal to 0.083 and it is nearest to zero
Answer:
d. 1/12
Step-by-step explanation:
Since all of the fractions are positive and you want the one closest to 0, you need to find the smallest fraction. With fractions, especially when all of the numerators are 1, the larger the denominator becomes, the smaller the fraction. 12 is the largest denominator; therefore, 1/12 must be the smallest fraction. Which makes 1/12 the closest to 0.
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Step-by-step explanation:
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Answer:
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If you add up all of the numbers without including the last one you get 201. You need that number to be 240 because 240÷10=24. So the missing number is 39.
Mina has 1/2 of a bag of popcorn. She eats half of her popcorn. How much popcorn does Mina have left?
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Answers
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A random sample of house sizes in major city has a sample mean of
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Answer:
A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:
What is the volume of the composite figure?
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Answer
180 inch² bottom / 192 inch²( top)
Step-by-step explanation:
5x3=15
15x12=180
4x4= 16
16x12=192
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
In the diagram below, BD is parallel to XY What is the value of y?
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B
**
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Answers
Answer:
[tex]y =110^\circ[/tex]
Step-by-step explanation:
Given
See attachment for diagram
Required
Find y
From the attachment, 70 and y are interior angles.
So:
[tex]70 + y = 180[/tex]
Solve for y
[tex]y = 180 - 70[/tex]
[tex]y =110^\circ[/tex]
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Answers
Answer:
15.36mm
Step-by-step explanation:
The area of a triangle can be defined as B x H or L x H,
In your case, I'm assuming you meant base as length, so just plug into the equation:
L x H = 420.92mm2
27.4 x H = 420.92
H = 15.36
If you want to be exact, it is 15.3620438
The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.
The area of a rectangle is a product of is two adjacent sides i.e. length * width
Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36
Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
Learn more about rectangles here:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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