Define the domain and range of the function and state whether it is one-to-one, onto, both or neither.

Answer:560

Step-by-step explanation:

The amount invested in the bond that yields 5% is $3500 and the amount invested in the bond that yields 3% is $1500

This question would be solved using simultaneous equation

Two equations can be derived from this question

a + b = 5000  equation 1

0.05a + 0.03b = 220   equation 2

where a = amount invested in the bond that bears 5% per month

b = amount invested in the bond that bears 3% per month

Multiply equation 1 by 0.05

0.05a + 0.05b = 250 equation 3

Subtract equation 2 from 3

0.02b = 30

Divide both sides of the equation by 0.02

b = 1500

Substitute for b in equation 1

a + 1500 = 5000

subtract 1500 from both sides of the equation

a = 5000 - 1500 = 3500

Amount invested in the bond that yields 5% is $3500

Amount invested in the bond that yields 3% is $1500

To learn more about simultaneous equation, please check : https://brainly.com/question/15165519?referrer=searchResults

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                           = 59 miles per hour

The Cheetah is faster than the American Antelope

Answer:

Step-by-step explanation:

The American Antelope is going at a rate of 1583 meters / minute

1583 m [ 1 km / 1000 m ] = 1.583 km / minutes

In an hour, the Antelope will go 1.583 km / minute * 60 min / hour

1.583 * 60 = 94.98 km / hour

The cheetah is going 61 miles / hour * 1.6 km / mile  = 97.6 km/hour

The Cheetah is  not going to go hungry tonight.

Answer:

10.5

Step-by-step explanation:

2⅝×4=10.5

..............

Answer:

[tex]x+17[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] represent "the number".

The sum of a number and seventeen

⇒ [tex]x+17[/tex]

I hope this helps!

Answer:

a= 1/6

b=1

c=1/2

a*b*c =  [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  1/6x^2+ 1x+ 0.5

Answer:

√40 = √ ( 2× 2 ×2 ×5) = 2√10

.........

Answer:

[tex]4^{9-5}[/tex] = [tex]4^{4}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

P=(2,-3)

Q=(a,a²-2a-3)

[tex]\Delta y=a^2-2a-3-(-3)=a^2-2a\\\Delta x=a-2\\\\\displaystyle \lim_{a \to 2} \dfrac{a^2-2a-3-(-3)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a^2-2a}{a-2} \\\\=\lim_{a \to 2} \dfrac{a(a-2)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a}{1} \\\\=\lim_{a \to 2} a \\\\=2\\[/tex]

Proof:

y'=(x²-2x-3)'=2x-2

y'(2)=2*2-2=2

Answer:

9/79/169%, 523.2, 458 (to 3sf)

Step-by-step explanation:

Example 1:

16/169×100%=9/79/169% of the students

Example 2:

87.2%×600=523.2 students

Example 3:

27.3%=125 students

100%=458 students (to 3sf)

Hi! I'm happy to help!

To  solve this, we first need to find our what could give us 1/3. WE realize that the sequence is descending, so we must be dividing. We can then, from here, multiply our top number by 1/3, because that is our end number, and could possibly work for our common ratio. From this, we can check if this fits in our equation. (dividing by 3)

243×1/3=81

81×1/3=27

27×1/3=9

9×1/3=3

3×1/3=1

1×1/3=1/3

We can check if this is the correct amount of numbers that would fit into the geometric sequence. Let's see if this fits in:

243, 81, 27, 9, 3, 1, 1/3

This does fit into our geometric sequence. Our middle terms are underlined. (missing numbers)

Our common ratio is the number we multiply the previous number by to get our next, so our common ratio is 1/3.

So, our geometric sequence is 243, 81, 27, 9, 3, 1, 1/3, our middle terms are 81, 27, 9, 3, and 1. Our common ratio is 1/3.

I hope this was helpful, keep learning!

Answer:

Step-by-step explanation:

Given:

To find the terms in between.

Find the common ratio first:

The terms in between are:

Answer:

Step-by-step explanation:

a= 12 mm ; b = 16 mm  ; c = 18 mm

s = (a + b+c)/2

[tex]=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\[/tex]

s -a =  18 -  12 = 6 mm

s  -b = 18 - 16 = 2 mm

s  -c = 18 - 8 = 10 mm

[tex]area = \sqrt{s(s -a)(s-b)(s-c)}[/tex]

       [tex]= \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\[/tex]

[tex]\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\[/tex]

  = 5.75

Height = 5.8 mm

Answer:

A. 5.8mm

Step-by-step explanation:

[tex]area \: of \: triangle = \sqrt{s(s - a) \times (s - b) \times (s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{12 + 8 + 16}{2} \\ s = 18 \\ area \: of \: triangle \: = \sqrt{18(18 - 12) \times (18 - 8) \times (18 - 16)} \\ = \sqrt{2160} \\ = 46.47 {m}^{2} \\ area \: of \: triangle \: = \frac{1}{2} \times base \times height \\ 46.47 = \frac{1}{2} \times 16 \times h \\ h = \frac{46.47}{8} \\ h = 5.8mm[/tex]

Answer:

6m

Step-by-step explanation:

Buried in mud: 3

In and above the water: 6

Total buried in the mud and in/above the water: 3 + 6 = 3 ÷ 6 = 2m

The length of the shortest pole?

Based to the question,

2m + 3m = ...?

= 2m x 3m

= 6 m

The length of the shortest pole is 6m.

Answer:

3 or 2.5

both are correct answers

Answer:

devide it by 2 three times

Step-by-step explanation:

6288/2=3144

3144/2=1572

1572/2=786

i think that's the easiest way to do it

Answer:

A=24

Step-by-step explanation:

Triangle Area formula: h*b

h: 6

b: 8

6*8=24

Answer:

.03

Step-by-step explanation:

1 pound = 16 ounces 2 pounds is 32

and 96/32 is 3

Answer:

$.03 per ounce

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

Take the price and divide by the number of ounces

.96 / 32 ounces

.03 per ounce

Answer:

2 1/8 as a decimal is 2.125

Step-by-step explanation:

Answer:

2.125

Step-by-step explanation:

To find the decimal version of the fraction number, you need to divide 1/8, which is .125; combining that with the original whole number, you get 2.125.

Answer:

62.9

Step-by-step explanation:

Answer:

the first option is the answer. I am sure of this

Answer:

the first option is the answer

Answer:

y=4x+1

Step-by-step explanation:

First the slope of the line is 4. The equation of the line is y-1=4x, y=4x+1

Answer:

1538.6cm^3

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Answer:

Angle + the Complementary angle = 90 degrees. Let x be the measure of the angle under the question. Then the measure of the Complementary angle is (x+46) degrees, and you have this equation x + (x+46) = 90, or 2x+ 46 = 90, or 2x = 90 - 46 = 44. Then x =  = 22. The given angle has the measure of 22 degrees. The complementary angle is 90-22 = 68 degrees. Check. 68 - 22 = 44 degrees. Correct !!

Answer:

It turns out that knowing all four sides of two quadrilaterals are congruent is not enough to conclude that the quadrilaterals are congruent. Unlike with triangles, some information about angles is needed in order to conclude that two quadrilaterals are congruent. I will give you the video that might be helpful. I dont own the video but i hope it helps you . <3

Step-by-step explanation:

https://www.khanacademy.org/math/cc-fifth-grade-math/properties-of-shapes/imp-quadrilaterals-2/v/quadrilateral-types-exercise

Answer: (1, -2)

Concept:

There are three general ways to solve the system of equations:

Here, we are going to use the elimination method to solve.

Solve:

Given

[tex]\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.[/tex]

Convert the first equation's arrangement to correlate with the second equation

[tex]\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.[/tex]

Multiply 3 on both sides in the first equation

[tex]\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.[/tex]

Eliminate [y] by adding the two equations

[tex]17x = 17[/tex]

Divide both sides by 17

[tex]17x / 17=17/17[/tex]

[tex]x=1[/tex]

[tex]y=-5x+3=-5(1)+3=-5+3=-2[/tex]

[tex](1, -2)[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

80001235152

Step-by-step explanation:

hope this helped!