Answer:
278.5
Step-by-step explanation:
Find the exponential function f(x)=ab^x that satisfies the conditions f(0)=-4 and f(-2)=-64.
f(x)=
[tex]f(x) = ab^x~\hfill \begin{array}{llll}\textit{we know that}~f(0)=-4\begin{cases}x=0\\f(x)=-4\end{cases}\\\\-4=ab^0\implies -4=a(1)\implies -4=a\end{array}\\\\\\\stackrel{therefore}{f(x)=-4b^x}~\hfill \textit{we also know that}~f(-2)=-64\begin{cases}x=-2\\f(x)=-64\end{cases}[/tex]
[tex]-64=-4b^{-2}\implies \cfrac{-64}{-4}=b^{-2}\implies 16=b^{-2}\implies 16=\cfrac{1}{b^2} \\\\\\ b^2=\cfrac{1}{16}\implies b=\sqrt{\cfrac{1}{16}}\implies b = \cfrac{\sqrt{1}}{\sqrt{16}}\implies b = \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(x)=-4\left( \frac{1}{4} \right)^x~\hfill[/tex]
Need help asap algebra 1
Answer:
Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.
Step-by-step explanation:
hope this helps!!
Answer:
Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.
Find the equation of the line.
Answer:
y = 2x + -3
Step-by-step explanation:
Use the equation y=mx+b
m is the slope (2 in this case)
b is the y intercept (-3 in this case)
The equation of the line would be y = 2x + -3
factorise this
12a²+20a
Answer:
4a(3a+5)
We take H.C.F of both number and the variables then we compare the HCF number and variable with our question and equate and write the answer about how much should be multiplied from the H.C.F answer to get the question.
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
Answer:
60 yards
Step-by-step explanation:
300 = 2(30 + w) + 2(w)
300 = 60 +2w + 2w
300 = 60 + 4w
240 = 4w
60 = w
Find the value of k so that (x + 3) is a factor of H(x) = 3x^3 – 2x^2 + kx – 3.
A. 34
B. 20
C. -20
D. -34
E. 32
Use the exponential regression equation that best fits the data (10,4). (12,20), (13,35), and (16,300) to estimate y when x = 15.
A 53.1
В. 97.2
C. 146.7
D. 254.8
Answer:
c 146.7
Step-by-step explanation:
cuz
3/2 x 4/3 x 5/4… x 2006/2005
Answer:
1003
Step-by-step explanation:
The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.
The simplest form of a telescoping product[tex]a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}[/tex], in which the products of n terms is
[tex]a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.[/tex].
In this particular case, [tex]t_{1} \ = \ 2[/tex] , [tex]t_{2} \ = \ 3[/tex], [tex]t_{3} \ = \ 4[/tex], ..... , in which each term follows a recursive formula of [tex]t_{n+1} \ = \ t_{n} \ + \ 1[/tex]. Therefore,
[tex]\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003[/tex]
what is the answer when you multiply 5.30 one by 5.02
Answer:
I think is there answer is 26.606
Which is equivalent to vg*
Og
O 78%
12784
8 4x
Answer:
(c) (12th root of 8)^x
Step-by-step explanation:
The applicable rules of exponents are ...
[tex](a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}[/tex]
In this case, we have ...
[tex](\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}[/tex]
132.16 divided by 16
Answer: 8.26
Step-by-step explanation:
Should I Explain How I got it?
132.16 divided by 16 is equal to 8.26.
Here, we have,
given that,
132.16 divided by 16
so, we have, 132.16 ÷ 16
To find the quotient of 132.16 divided by 16,
we can perform long division:
8.26
____________
16 | 132.16
112
____________
20
Therefore, 132.16 divided by 16 is equal to 8.26.
To learn more on division click:
brainly.com/question/21416852
#SPJ6
What is the value of the fraction below?
Answer:
undefined.......it's infinity
Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation?
Step 1: x^2 - 12x = -6
Step 2: x^2 - 12x + 36= -6 + 36
Use the table. What is the total amount of electricity a computer, a television, and a heater use in 1 hour? Show your work.
Answer:
Step-by-step explanation:
A crew of highway workers paved 1/5 mile in 1/8
hour. If they work at the same rate, how much
will they pave in one hour?
Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.
Approximately what portion of the beaker is filled?
A.3/4
B. 1/2
C. 5/9
Answer:
The answer which I think is 3_4
Leora is finding the length of a horizontal line segment on a coordinate grid She subtracted the x coordinates and got
-17.5 What is her next step?
Add 17.5
Take the absolute value of -17.5
Add the y.coordinate values.
Round up to -17
Answer:
Take the absolute value of -17.5
Step-by-step explanation:
Answer:
2. Take the absolute value of ' - 17. 5 '
Step by Step Explanation:
The distance/length is always positive, so make sure to take the absolute value of -17.5
5x + y = 11
3x − y = 9
Answer:
x = 5/2y = -1.5Step-by-step explanation:
5x + y = 113x − y = 9
=> 5x + y = 11+3x − y = +9
=> 8x = 20=> x = 20/8=> x = 5/2=> 5(5/2) + y = 11=> 25/2 + y = 11=> 12.5 + y = 11=> y = 11 - 12.5=> y = -1.5Therefore, the answers are:
x = 5/2y = -1.5Hoped this helped.
[tex]BrainaicUser1357[/tex]
which of the following are needed to make an expression?
a- equal sign
b-number(s)
c-operation(s)
d-variable(s)
Answer:
Truly, it's all of the above!
Which graph shows Point P as (–5,6) and Point Q as (3,–4)?
hich graph shows Point P as (–5,6) and Point Q as (3,–4)?
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
15)alternate exterior, 16) corresponding angles 17) alternate exterior 18) same side interior
19) alternate interior
Factor the expression to fill in the blank. 25 + 45 = ? (5 + 9)
Answer:
25 + 45 = 5 (5 + 9)
Step-by-step explanation:
25 + 45 = ? (5 + 9)
Step 1: 25 ÷ 5 = 5
Step 2: 25 ÷ 9 = 5
? = 5
This is a special array.
1,2,2,5,2,2,9,0,...
what is next number?
Answer:
2
Step-by-step explanation:
the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly
Please help me!! I don't understand
No linksssss
Answer:
thanks haahhahahaha
Step-by-step explanation:
Employee only meals
Meals with clients
Total meals expensed must not exceed allowed expenses based on given rates
Answer:
50 percent the cost of meals
candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam
Answer:
33
Step-by-step explanation:
16-5=11
11×3=33
so yeah
Answer:
18
Step-by-step explanation:
TRANSLATE THIS SENTENCE INTO AN EQUATION FOR BRAINLIEST!!!
Answer:
d x 7 = 105
Step-by-step explanation:
Prove that
sin 75-sin 15=cos 105+cos 15
Answer:
Step-by-step explanation
RHS = cos 105° + cos 15°
= cos (90° + 15°) + cos (90° – 75°)
= – sin 15° + sin 75°
= sin 75° – sin 15°
= LHS
Answer:
Step-by-step explanation:
sin75-sin15
=sin (90-15)-(-cos (90+15))
=cos 15+cos 105
1. If you roll two fair dice, what is the probability that the sum of both rolls is 8?
Answer:
1/4
Step-by-step explanation:
Sample space = 12
Prob of sum = 8 is:
[2,6], [3,5]. [4,4]
That is 3/12 = 1/4
HELP ME OUT PLEASE!!!
Which function represents the relationship between x and y?
D) y = x - 2
C) y = x + 4
B) y = 2x
A) y = x + 2
Answer:
The Answer is "A"
Step-by-step explanation:
x+2=y