6. The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that currently has 60 of them. Write an exponential function and find how many California Tiger Salamanders will be left after 4 years.

7. Factor and solve the following equation 2x2 + x - 21 = 0.

8. Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of gravity -4.9 m/s2, the velocity of his pass is 7.5 m/s and releases the football at a height of 1.8 meters, and the height where the receiver catches the ball of 2.1 meters. Put the equation in standard form and then solve by using the quadratic equation.

9. Examine the graph of f(x) and the table that contains values of g(x). Which function has a greater rate of change over the interval [0,2]? Explain your answer.

Answers

Answer 1

[tex]\rule{2000pt}{1000000pt}[/tex]


Related Questions

Shen borrowed $8000 at a rate of 17%, compounded quarterly. Assuming he makes no payments, how much will he owe after 6 years?​

Answers

224,640
(8,000*1.17)(6*4) due to quarterly interest
(8,009*1.17)(24)
(9,360)(24)
9,360*24=224,640

if you multiply the number of cars in the parking lot by 4 there would be 32 cars how many cars are in the lot​?

Answers

If you do the steps backwards 32/4 is 8

Answer:

8

Step-by-step explanation:

there would be 8 cars in the parking lot

In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the width of the trapezoid if AC = 3, AD = 5.

Answers

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

[tex]AD^{2}=AC^{2}+CD^{2}[/tex]

25=9+[tex]CD^2[/tex]

[tex]CD^2[/tex]=25-9=16

[tex]CD=\sqrt{16} =4 units[/tex]

Now

Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]

similarly,

[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]

What kind of taxes are likely to pay for universities and police?
а
local taxes
b. state taxes
C federal taxes
d income taxes

Answers

Your answer would be B. State Taxes

Answer: I'd say the best answer is b.

Step-by-step explanation:

This is my question I need the answer to

Answers

ANSWER: 12
Ok done. Thank to me :>

(I WILL GIVE BRAINLIEST) PLEASE HELP!

Answers

Answer:

Option D

Step-by-step explanation:

Step 1:  Determine the correct option

Option A, this option doesn't work because -3.46 is not greater than -2 1/3.  Although the number 3 is greater than 2, these numbers are negative therefore the bigger the negative number, the smaller the number actually is.

Option B, this option doesn't work because 16/5 is not greater than 6.  If we convert 16/5 into a decimal we get 3.2 and this number isn't bigger than 6.

Option C, this option doesn't work because once again it states that -3.46 is greater than -2 1/3 when in reality it's actually smaller.

Option D, this option does work because everything goes according the way it should.  -3.46 is smaller than -2 1/3 and -2 1/3 is smaller than -3/4 and -3/4 is smaller than 16/5 and 16/5 is smaller than 6.

Answer:  Option D

Quincy feeds his dog 2.75 cups of dog food each day. Each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?
2 times 1
2 times 2
3 times 1
3 times 2

Answers

Answer:

3 times 1

Step-by-step explanation:

2.75 - 75 or in other words 7 is closer to 10 than 0, so well round it up to the next number, 3.

1.25 - 25 or in others words 2 is closer to 0 than 10, so we'll round it down to the nearest lowest whole number, 1.

our new expression: 3 × 1. hope that helps!

Find the slope of the line y=−5x−4

Answers

Answer:

-5

Step-by-step explanation:

I hope this helps!

Answer:

-5

Step-by-step explanation:

The slope of the line in this format is the coefficient of x, or the number in front of x.

Graph the equation. y= - 2x​

Answers

Answer:  The picture

Step-by-step explanation: if you mean graph that means graph the coordantes.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
[tex]x = 2 \sqrt{3y} [/tex]
[tex]x = 0[/tex]
[tex]y = 7[/tex]
; about the y-axis

Answers

on this one, we proceed the same as the other, we start off by graphing them, Check the picture below.  Now, we have a solid horizontal line at y = 7, that'd be our boundary, and a parabola that has a vertex at the origin, that's our other boundary, from 0 to 7.

In this case, is a solid area from the curve to the axis of rotation, so we can simply use the "disk" method to get the volume, lemme do it in the same way as "area under the curve", assuming h(y) = 0 for the axis of rotation

[tex]\textit{area under the curve}\\ \stackrel{f(y)}{2\sqrt{3y}}~~ - ~~\stackrel{h(y)}{0}\qquad \implies 2\sqrt{3y} \\\\\\ \displaystyle\int_{0}^7\pi \left( 2\sqrt{3y} \right)^2 dy\implies \int_{0}^7\pi(12y)dy\implies 12\pi \int_{0}^7 y\cdot dy \\\\\\ 12\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^7\implies12\pi \cdot \cfrac{49}{2}\implies 294\pi[/tex]

A book store is hosting a special night in which familles can enjoy a story and craft time. Tickets to the event must be bought ahead of time and are $1.50 for children and $2.50 for adults. So far, 45 children's tickets have been sold, which is 60% of the total tickets sold. How many tickets have been sold so far? Show or explain how you got your answer.steps please​

Answers

Answer:

45

Step-by-step explanation:

just typing this so I'll have 20

How many types of windows does Python use? Correct answer will get brainliest.



a.
four


b.
five


c.
one


d.
two

Answers

Answer:

A. 4

Step-by-step explanation:

i guess it A. 4 i dunno

Four types

Explanation:-The python supported windows starts form windows 7 (32bit)

All types of python windows are

Windows 7Windows 8Windows 10Windows 11

Karen, Trey, and Dante have a total of 75 in their wallets. Karen has 5 more than Trey. Dante has 2 times what Karen has. How much do they have in their wallets?

Answers

Answer: Karen has 20, Trey has 15, Dante has 40

Step-by-step explanation:

Karen=x+5    Trey=x     Dante=2x+10

            x+x+5+2x+10=75

                 4x+15=75

                   4x=60

                     x=15

What is the next number
3, 4, 7, 16, 11, 64, …
Answers:
A) 55
B)14
C)39
D)15

Answers

the answer is c) 39 according to the sequence

The next number 3, 4, 7, 16, 11, 64, is: 55.

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

When all the terms of a geometric sequence are added, then that expression is called geometric series.

We are given the series as;

3, 4, 7, 16, 11, 64, …

If we separate the numbers that in order are in the even place of the odd ones, we would have :

3, 4, 7, 16, 11, 64,..

If we finish in 1 then they increase by 1 in 1, while in 2.- they increase in odd numbers, the following number is: 55

The correct option is A.

Learn more about a number pattern:

brainly.com/question/14471389

#SPJ2

Find sin(a-B), if cosa=1/3, cosB=1/4, a=(0;180), B(-90;0)

Answers

Give me some hint please

jorden claims that x^2+3=12 is exponential equation. is jorden correct

Answers

No.
Exponential functions take the form y = a^x

The function given is a quadratic function, as the highest exponent of x is 2

please help me on this​

Answers

Answer:

10/9

Step-by-step explanation:

Find g(x) if the indefinite integral of f(x) need little help

Answers

Answer:

g(x) = 4x² - x

General Formulas and Concepts:

Algebra II

Functions

Function NotationPiecewise Functions

Calculus

Integration

IntegralsIntegral NotationIntegration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

*Note:

Integrating a piecewise function requires you to integrate both parts.

Step 1: Define

Identify.

[tex]\displaystyle f(x) = \left \{ {{8x - 1 ,\ x \leq 4} \atop {31 ,\ x \geq 4}} \right.[/tex]

[tex]\displaystyle \int {f(x)} \, dx = \left \{ {{g(x) + C ,\ x \leq 4} \atop {31x + C ,\ x \geq 4}} \right.[/tex]

Step 2: Find function g(x)

We can see that the 2nd part of the piecewise function already has been integrated:

[Integral] Set up:                                                                                             [tex]\displaystyle \int {f(x)} \, dx ,\ x \geq 4 = \int {31} \, dx ,\ x \geq 4[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {f(x)} \, dx ,\ x \geq 4 = 31 \int {} \, dx ,\ x \geq 4[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]:                     [tex]\displaystyle \int {f(x)} \, dx ,\ x \geq 4 = 31x + C ,\ x \geq 4[/tex]

To find function g(x), we simply have the same setup:

[Integral] Set up:                                                                                             [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = \int {8x - 1} \, dx ,\ x \leq 4[/tex][Integral] Rewrite [Integration Rule - Addition/Subtraction]:                       [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = \int {8x} \, dx - \int {1} \, dx ,\ x \leq 4[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:               [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = 8 \int {x} \, dx - \int {} \, dx ,\ x \leq 4[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]:                   [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = 8 \bigg( \frac{x^2}{2} \bigg) - x + C ,\ x \leq 4[/tex]Simplify:                                                                                                         [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = 4x^2 - x + C ,\ x \leq 4[/tex]Redefine:                                                                                                       [tex]\displaystyle g(x) = 4x^2 - x + C ,\ x \leq 4[/tex]

The integration constant C is already included in the answer, so our answer is g(x) = 4x² - x.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration (Applications)

A birthday cake was cut into equal pieces, and 10 pieces were eaten. The
fraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
1
11
A. 1
B. 10
C. 21
O D. 11
TO

Answers

The answer is D, 11.

plz answer fast i will mark as brainlist

Answers

Answer:

36 is the answer

Step-by-step explanation:

Hope it will help you

36 Because you have to try to go through the highest numbers like 8 and 9 to get a higher answer so you start at 1 then go to 5, 8, 4, 3, 9 and then 6 to go out.

Hope this helps

What is an equation of the line that passes through the points (−3,8) and (-7, 8)

Answers

Answer:

y = 8

Step-by-step explanation:

Since the y- coordinates of the points are equal, both 8 , then

This indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- 3, 8 ) and (- 7, 8 ) with y- coordinates 8 , then

y = 8 ← equation of line

The points (8, 1) and (6, 0) fall on a particular line. What is its equation in slope-intercept form?

Answers

y=1/2x-3 i would say

Answer:

y=-3/2 x + 6Step-by-step explanation:

LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answers:

[tex]I(-2,-1) \to I \ ' \ (-5,-2.5)\\\\J(-1,2) \to J \ ' \ (-2.5,5)\\\\K(2,-1) \to K \ ' \ (5,-2.5)\\\\[/tex]

===============================================

Explanation:

Since the center of dilation is the origin, we multiply each preimage coordinate by 2.5 (which is the scale factor).

For example, the preimage point J(-1, 2) moves to J ' (-2.5, 5)

-1*2.5 = -2.52*2.5 = 5

This will cause the image triangle I'J'K' to be larger than the preimage IJK. Specifically, each side of the image is 2.5 times longer compared to the preimage.

Answer:

i' (-5, -2.5) J' (-2.5, 5) K' (5, -2.5)

Step-by-step explanation:

you just take the original coordinates and multiply them by 2.5

PLS PLS PLS HELP ON GEOMETRY PLS

Answers

Answer:

40 degrees

Step-by-step explanation:

Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.

Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.

Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40

4. You have 36 pairs of running shoes. Let x be the
number of Nikes and y be the number of Adidas shoes
you own. You own twice as many Nikes as Adidas
shoes.
d
Write and solve a linear system of equations to find the
number of each brand of shoes.

Answers

Answer:

Nikes: 24 pairsAdidas: 12 pairs

Step-by-step explanation:

The system of equations can be written ...

  x + y = 36

  x = 2y

__

The system can be solve by substituting for x:

  (2y) +y = 36

  y = 12 . . . . . . divide by 3

  x = 2(12) = 24

There are 24 pairs of Nikes and 12 pairs of Adidas.

Find the least common denominator for these fractions.

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Given f(1) = 8 and
f(n) = 3 f(n-1) - 2 then f (4) =

Answers

Answer:

190

Step-by-step explanation:

f(1)=8

f(2)=3f((2-1))-2, f(2)=22

f(3)=3f((3-1))-2, f(3)=64

f(4)=3f((4-1))-2, f(4)=190

SOMEBODY PLZ HELP NO LINKS PLZ AN THANK YOU
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at he time. A line that models the data is given by the equation y=-1.62x + 18 where y represents the wait time and x represents the number of staff available. Use the equation to make a conjecture about the wait if there are 10 staff members available


A the wait time will be about 18 minutes

B the wait time will be about 5 minutes

C the wait time will be about - 2 minutes

D the wait time will be about 2 minutes

Answers

Answer:

im not too sure but B

Step-by-step explanation:

Express the dollowing fraction in decimal form as a terminating decimal or as a infinite repeating decimal 3/16

Answers

Answer:

3/16 as a decimal is equal to 0.1875.

Let's convert the given fraction to a decimal number.

Explanation:

To convert any fraction to decimal form, we just need to divide its numerator by denominator.

Here the fraction is 3/16 which means we need to perform 3 ÷ 16.

So, 3/16 is equal to 0.1875.

Hope that helps you in some way.


When Alex went to work the temperature
was -2°F. When he got home from work the
temperature raised 14°. What was the
actual temperature when he got home from
work?

Answers

The actual temperature when he got home from work was 12°F
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how do you find average velocity (vaverage) from acceleration (a) and time (t)? The graphs below have the same shape. What is the equation of the graph of gx)?A. g(x) = (x+4)2B. g(x) = x2 - 4C. g(x) = x2 + 4D. g(x) = (x - 4)NO LINKS YOU BOTS Correct and rewrite the following statements: _____e). electroplating is based on magnetic effect of electricity.f). an electric bulb glows due to the chemical effect of electricity. _______________________ #No spam #No Internet answers, please #Explanation needed Solve each system of linear equations by elimination. X-6y=7 -x+6y= -7 - how many pounds of gold are present in 1 cubic mile of seawater? 8,17,26 find the 31st term Check all of the following below which describe experimental errors that would affect the percent chloride you report in your experimental results: ____________a) The solid product was wet when you weighed the final mass b) You added excess silver nitrate into the reaction mixture c) The liquid collected from the filtration was cloudy d) The transfer from the reaction beaker to the filter funnel was imperfect (you lost some of the reaction solution or some was left in the beaker) e) Extra water was used to dissolve the original unknown solid when x varies directly as 2y and x=6 when y=20 find y when x=9 A projectile is thrown with velocity v at an angle with horizontal. When the projectile is at a height equal to half of the maximum height, the vertical component of the velocity of projectile is ____? The fish shown here is normally found in a pond but is being studied in an aquarium. The amount of water and salt intake and excretion is measured as the fish maintains homeostasis. What scientificquestion is most likely being asked based on the information in the model? Question 2 of 5-64O A. - 16O B. -4O C. 4 or -4OD. -8 what is the capital of Alabama of usa how did the management of national money influence the french revolution Solve the equation square root of x-2+5 = 7 for the variable. Show each step of your solution process which type of fragrance language is being used in the example we had to tip toe around the house so we didn't wake up sleeping beauty I will mark as brainliest if answer is correct.Which ordered pair is a solution to the system of inequalities? y2x-1 y A jar contains black marbles and green marbles. Sixty percent of the marbles in the jar are green. A number generator simulates randomly selecting 10 marbles from the jar. The number generator is used 12 times and the number of green marbles in each trial is shown in the dot plot.Which description is correct about the number generator being fair or not?The number generator is not fair. The dot plot shows 80% of the marbles drawn are green.The number generator is fair. The dot plot shows a distribution that is skewed right.The number generator is not fair. In most of the experiments, considerably less than 60% of the selected marbles are green.The number generator is fair. It shows that 60% of the marbles selected are green most of the time. how old is the world Evaluate the expression for m = 45.m|54Submit Select the fraction equivalent to 0.1its not 1/101/1B 1/9 C 1/11please explain why