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d1i1m1o1n [39]
2 years ago
15

The reflection of the point (4, 6) over the y-axis is:

Mathematics
2 answers:
Brums [2.3K]2 years ago
8 0
(-4,6)
The x value changes bc since it is a reflection y cannot change and x becomes negative
Alexus [3.1K]2 years ago
8 0
(-4,6) x becomes negative and y is positive
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assume that 2000 births are randomly selected and 64 of the births are girls. use subjective judgment to describe the number of
tatuchka [14]

Total no. of births = 2000

Births of girls = 64

Birth% of girls

=  \frac{64}{2000}  \times 100

=  \frac{64}{20}

=  \frac{6.4}{2}

= 3.2\%

Hence, the number of girls are significantly low.

4 0
3 years ago
A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
Natasha_Volkova [10]

Hey!

------------------------------------------------

Surface Area Formula: 2LW * 2LH * 2WH

------------------------------------------------

2LW:

5 x 1 = 5

5 x 2 = 10

------------------------------------------------

2LH:

4 x 1 = 4

4 x 2 = 8

------------------------------------------------

2WH:

5 x 4 = 20

20 x 2 = 40

------------------------------------------------

Surface Area:

40 + 8 + 10= 58

------------------------------------------------

Answer:

D) 58 cm2

------------------------------------------------

Hope This Helped! Good Luck!

5 0
3 years ago
What is the area: triangle with base of 14 in and height 10 in
Anika [276]
Triangle area formula: base*height/2
so, 14*10/2 = 7*10 = 70 sq. in.
7 0
3 years ago
Read 2 more answers
A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown be
vovikov84 [41]
ANSWER

30\%


EXPLANATION

The total number of students can be calculated by adding all the frequencies.


From the graph the total frequency is,

39+117+78+26 =260

The number of students who intend to go into state or local government after graduation is 78.


The percentage of students who intend to go into state or local government after graduation

=  \frac{78}{260}  \times 100\%

=  \frac{3}{10}  \times 100\%

= 30\%

4 0
3 years ago
Read 2 more answers
Find f(a), f(a+h), and<br> 71. f(x) = 7x - 3<br> f(a+h)-f(a)<br> h<br> if h = 0.<br> 72. f(x) = 5x²
Leni [432]

Answer:

71. \ \ \ f(a) \  = \  7a \ - \ 3; \ f(a+h) \  =  \ 7a \ + \ 7h \ - \ 3; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 7

72. \ \ \ f(a) \  = \  5a^{2}; \ f(a+h) \  =  \ {5a}^{2} \ + \ 10ah \ + \ {5h}^{2}; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 10a \ + \ 5h

Step-by-step explanation:

In single-variable calculus, the difference quotient is the expression

                                              \displaystyle\frac{f(x+h) \ - \ f(x)}{h},

which its name comes from the fact that it is the quotient of the difference of the evaluated values of the function by the difference of its corresponding input values (as shown in the figure below).

This expression looks similar to the method of evaluating the slope of a line. Indeed, the difference quotient provides the slope of a secant line (in blue) that passes through two coordinate points on a curve.

                                             m \ \ = \ \ \displaystyle\frac{\Delta y}{\Delta x} \ \ = \ \ \displaystyle\frac{rise}{run}.

Similarly, the difference quotient is a measure of the average rate of change of the function over an interval. When the limit of the difference quotient is taken as <em>h</em> approaches 0 gives the instantaneous rate of change (rate of change in an instant) or the derivative of the function.

Therefore,

              71. \ \ \ \ \ \displaystyle\frac{f(a \ + \ h) \ - \ f(a)}{h} \ \ = \ \ \displaystyle\frac{(7a \ + \ 7h \ - \ 3) \ - \ (7a \ - \ 3)}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{7h}{h} \\ \\ \-\hspace{4.25cm} = \ \ 7

               72. \ \ \ \ \ \displaystyle\frac{f(a \ + \ h) \ - \ f(a)}{h} \ \ = \ \ \displaystyle\frac{{5(a \ + \ h)}^{2} \ - \ {5(a)}^{2}}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{{5a}^{2} \ + \ 10ah \ + \ {5h}^{2} \ - \ {5a}^{2}}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{h(10a \ + \ 5h)}{h} \\ \\ \-\hspace{4.25cm} = \ \ 10a \ + \ 5h

4 0
2 years ago
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