Answer:
5.0956537e-46
Step-by-step explanation:
^ means root
* means multiply
f(x) = ab^x
f(-1.5)=26 = ab^-1.5
f(5.5)=7 = ab^5.5
f(5.5)/f(-1.5) = 26/7 = ab^5.5/ab^-1.5
3.714 = b^7
b = 3.714^-7
f(-1.5)=26 = ab^-1.5
26 = ab^-1.5
26 = a * 3.714^-7
a = 3.714^-7 / 26
a = 0.00000394578
f(10) = ab^10
f(10) = 0.00000394578 * (3.714^-7)^10
f(10) = 5.0956537e-46
Apply the distributive property to create an equivalent expression.
\dfrac15(15+10k) =
5
1
(15+10k)=start fraction, 1, divided by, 5, end fraction, left parenthesis, 15, plus, 10, k, right parenthesis, equals
Answer:
3 + 2k
Step-by-step explanation:
Given:
1/5(15 + 10k)
= (1/5 * 15) + (1/5 * 10k)
= (1 * 15)/5 + (1 * 10k)/5
= 15/5 + 10k/5
= 3 + 2k
Therefore,
1/5(15 + 10k) = 3 + 2k
The equivalent expression is 3 + 2k
A lunch menu consists of 2 types of tortillas and 5 different fillings. How many choices are there for ordering a burrito with one filling?
Answer:
You can choose between 10 different choices.
Step-by-step explanation:
Given that a lunch menu consists of 2 types of tortillas and 5 different fillings, to determine how many choices are there for ordering a burrito with one filling, the following calculation must be performed:
2 x 5 = X
10 = X
Therefore, you can choose between 10 different choices.
If f(x) = 7x - 3 and g(x) = x^2, what is (g° 0(1)?
( f ∘ g ) ( x ) is equivalent to f ( g ( x ) ) . We solve this problem just as we solve f ( x ) . But since it asks us to find out f ( g ( x ) ) , in f ( x ) , each time we encounter x, we replace it with g ( x ) . In the above problem, f ( x ) = x + 3 . Therefore, f ( g ( x ) ) = g ( x ) + 3 . ⇒ ( f ∘ g ) ( x ) = 2 x − 7 + 3 ⇒ ( f ∘ g ) ( x ) = 2 x − 4 Basically, write the g ( x ) equation where you see the x in the f ( x ) equation. f ∘ g ( x ) = ( g ( x ) ) + 3 Replace g ( x ) with the equation f ∘ g ( x ) = ( 2 x − 7 ) + 3 f ∘ g ( x ) = 2 x − 7 + 3 we just took away the parentheses f ∘ g ( x ) = 2 x − 4 Because the − 7 + 3 = 4 This is it g ∘ f ( x ) would be the other way around g ∘ f ( x ) = 2 ( x + 3 ) − 7 now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them. g ∘ f ( x ) = 2 x + 6 − 7 Next, + 6 − 7 = − 1 g ∘ f ( x ) = 2 x − 1
Hello,
[tex]f(x)=7x-3\\g(x)=x^2\\\\(fog)(x)=g(f(x))=g(7x-3)=(7x-3)^2=49x^2-42x+9\\\\(gof)(x)=f(g(x))=f(x^2)=7x^2-3\\\\(fog)(0)=g(f(0))=49*0^2-42*0+9=9\\\\(gof)(0)=f(g(0))=7*0^2-3=-3\\[/tex]
Since i don't know what is (g°O(1) and you haven't correct your question ,
i has put the 2 possibles answsers.
the lateral surface area of right circular cylinder is 120 pi cm squared and the circumference is 12 cm find the height
Answer:
h=31.4 cm
Step-by-step explanation:
A=lateral surface area
c=circumference
h=height
A= c*h
solving for h we get:
h=A/c=120pi/12=10pi
What is the value of x in the equation??????
.
15 points!!
Please hurry :)
Answer:
-8
Step-by-step explanation:
As part of the math assignment, jane makes a graph pf her cookie function. Before handling it in, she compares it to the table. Do the table and the graph represent the same function
Answer:No
Step-by-step explanation:
one more question
(-8)+___=-17
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-8 +___= - 17
___=-17 +8
___=-9
=-9
help me pls i don't get thisggg
Answer:
9. A. 2
Rectangle R:
Length = LWidth = WRectangle S:
Length = 2LWidth = 2WRectangle Area:
Rectangle R = L · W
Rectangle S = 2L · 2W = 2(L · W)
10. A. (1, 3)
y = x + 2y = -2x + 5x + 2 = -2x + 5
x + 2x = 5 - 2
3x = 3
x = 1
y = x + 2 = 1 + 2 = 3
Huilan's age is three times Thomas's age. The sum of their ages is 100. What is Thomas's age? 1 years old
Answer:
thomas is 25 years old
Step-by-step explanation:
ratio = 3:1
3+1=4
total age=100
Thomas age = 1/4 × 100 = 25
How do I simplify the expression
What
Is the volume of this object
Answer:
100
Step-by-step explanation:
5x4=20
20x5=100
100 x 77 + 72 ÷ 4 = ? (RIGHT ANSWER GETS BRAINLIEST)
Step-by-step explanation:
100*77+72/4
100*77+18
7700+18
7718
Answer:
Step-by-step explanation:
54 ×100=5400
5400+77=5477
5477÷2 = 2738.5
HELP ASAP 10 POINTS AND BRAINLIST
Step-by-step explanation:
hope it helps you...........
Find the greatest common factor of the
following monomials:
12a^2, 32a^3
Answer:
4a^2
Step-by-step explanation:
GCF of 12 and 32 is 4.
GCF of a^3 and a^2 is a^2.
Therefore, the answer is 4a^2.
On a Venn diagram, shade the region:
1. AnB
2. (BnC)nA
Answer:
hope it will be helpful to you
Step-by-step explanation:
anb shade and anbnc shade
Which of the following is not a function?
O A. {(1,2), (2,2), (3,2), (4,2)}
B. {(1,2), (9,-3), (-3,-1), (8,2)}
C. {(1,2), (2,3), (3,4), (4,5)}
D. {(1,2), (-2,3), (1,3), (-2,2)}
Answer:
D......................
[tex]\text{Solve for 'x'.}\\\\3x + 15 = 33\\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x=6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3x + 15 = 33\\--------------\\\rightarrow 3x + 15 - 15 = 33 - 15\\\\\rightarrow 3x = 18\\\\\rightarrow \frac{3x=18}{3}\\\\\rightarrow \boxed{x = 6}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=6
Step-by-step explanation:
3x+15=33
or as, 3x=33-15
or as, 3x=18
x=18/3=6
so we got 6 is the answer
Peter’s father told peter to buy four-tenths of a pound of chili powder. Each package is marked with its weight. What package should Peter guy?
Answer:
The weight of the package of chili powder is 181.44 g.
Step-by-step explanation:
Amount of chili powder = 4/10 pound
1 pound = 453.6 g
So,
4/10 pound = 4/10 x 453.6 = 181.44 g
The weight of the package of chili powder is 181.44 g.
i need help.
A. 145
B. 35
C. 55
D. 75
Explanation:
Angles 4 and 8 are corresponding angles since they are both in the southwest corner of their respective 4 corner configuration.
Corresponding angles are congruent when we have parallel lines like this.
Set the expressions equal to each other and solve for x
angle 4 = angle 8
x+20 = 2x+5
x-2x = 5-20
-x = -15
x = 15
Use this x value to find the two angles to help confirm we have the correct x value, and to finish up to answer the question.
angle 4 = x+20 = 15+20 = 35angle 8 = 2x+5 = 2(15)+5 = 30+5 = 35So that's why the answer is B) 35 degrees
CO
Evaluate the function for an input of 0.
x
f(x)
-2
0
IX-2
0
-1
3
3
O
4
4
1
3
2.
0
Explanation:
Refer to row three of the table. The table shows that when x = 0, we have f(x) = 4. This is the same as saying f(0) = 4.
Answer:
the answer
-2 0-2
What is the quotient of
Answer:
x^5+8x^4+17x^3-14x^2-84x-72
Step-by-step explanation:
2 thirds divided by 4
La potencia que se obtiene de elevar a un mismo exponente un numero racional y su opuesto es la misma verdadero o falso?
Answer:
Falso.
Step-by-step explanation:
Sea [tex]d = \frac{a}{b}[/tex] un número racional, donde [tex]a, b \in \mathbb{R}[/tex] y [tex]b \neq 0[/tex], su opuesto es un número real [tex]c = -\left(\frac{a}{b} \right)[/tex]. En el caso de elevarse a un exponente dado, hay que comprobar cinco casos:
(a) El exponente es cero.
(b) El exponente es un negativo impar.
(c) El exponente es un negativo par.
(d) El exponente es un positivo impar.
(e) El exponente es un positivo par.
(a) El exponente es cero:
Toda potencia elevada a la cero es igual a uno. En consecuencia, [tex]c = d = 1[/tex]. La proposición es verdadera.
(b) El exponente es un negativo impar:
Considérese las siguientes expresiones:
[tex]d' = d^{-n}[/tex] y [tex]c' = c^{-n}[/tex]
Al aplicar las definiciones anteriores y las operaciones del Álgebra de los números reales tenemos el siguiente desarrollo:
[tex]d' = \left(\frac{a}{b} \right)^{-n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{-n}[/tex]
[tex]d' = \left(\frac{a}{b} \right)^{(-1)\cdot n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{(-1)\cdot n}[/tex]
[tex]d' = \left[\left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]y [tex]c' = \left[(-1)^{-1}\cdot \left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c = (-1)^{n}\cdot \left(\frac{b}{a} \right)^{n}[/tex]
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{b}{a} \right)\right]^{n}[/tex]
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{b}{a} \right)\right]^{n}[/tex]
Si [tex]n[/tex] es impar, entonces:
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = - \left(\frac{b}{a} \right)^{n}[/tex]
Puesto que [tex]d' \neq c'[/tex], la proposición es falsa.
(c) El exponente es un negativo par.
Si [tex]n[/tex] es par, entonces:
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left(\frac{b}{a} \right)^{n}[/tex]
Puesto que [tex]d' = c'[/tex], la proposición es verdadera.
(d) El exponente es un positivo impar.
Considérese las siguientes expresiones:
[tex]d' = d^{n}[/tex] y [tex]c' = c^{n}[/tex]
[tex]d' = \left(\frac{a}{b}\right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{n}[/tex]
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{n}[/tex]
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = (-1)^{n}\cdot \left(\frac{a}{b} \right)^{n}[/tex]
Si [tex]n[/tex] es impar, entonces:
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = - \left(\frac{a}{b} \right)^{n}[/tex]
(e) El exponente es un positivo par.
Considérese las siguientes expresiones:
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left(\frac{a}{b} \right)^{n}[/tex]
Si [tex]n[/tex] es par, entonces [tex]d' = c'[/tex] y la proposición es verdadera.
Por tanto, se concluye que es falso que toda potencia que se obtiene de elevar a un mismo exponente un número racional y su opuesto es la misma.
Which of these steps will eliminate a variable in this system
3x-3y=6
6x+9y=3
Answer:
A
Step-by-step explanation:
This is because when you do a the answer states, multipliying the top by 2, makes the top equation 6x-6y=12. When you subtract the second from the first you get:
6x - 6y = 12
- 6x + (-)9y = (-)3
Which results in -15y = 9.
This results in an eliminated variable from the start of the system of equation.
The steps that will eliminate a variable in this system are:
Multiply the first equation by 2.
Then subtract the second equation from the first.
What is method of elimination?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
[tex]3x - 3y = 6\\6x +9y = 3\\\\6x - 6y = 12\\6x +9y = 3\\\\15y = -9\\y = -3/5\\x= 2-3/5 = 7/5[/tex]
Learn more about method of elimination here
https://brainly.com/question/14619835
#SPJ2
pls help:( algebra 1 btw
17(2 + 12g) + 14
Answer:
204g + 48
Step-by-step explanation:
simplifying the expression
What’s the equation of the line that passes through the point (5,1) and has a slope of 1
Answer:
y = x + 4
Step-by-step explanation:
y = mx + b
y = 1x + b
5 = 1 + b
b = 4
y = x + 4
Help please... What is the measurement of arc AC?
Answer:
D) 88 degrees
Step-by-step explanation:
Angle ABC is 1/2Arc AC (Inscribed angle theorem)
Help and explain !!!!( Solve using the substitute method )
Answer:
x=13
y= -9
(13, -9)
Step-by-step explanation:
If we are solving using the substitution method, we can take the first equation and set it to y so y=4-x.
Then, we can take that equation and plug it into the bottom one so
3x+4(4-x)=3
Simplify:
3x+16-4x=3
-x=-13
x=13
We can then plug 13 into any of the two given equations (I am just going to plug it into the top one)
So, 13+y=4 which y= -9
Explain how the quotient of powers was used to simplify this expression
Answer:
See explanation
Step-by-step explanation:
Given:
5⁴/25 = 5²
25 = 5²
Then,
5⁴ / 25
= 5⁴/5²
Note:
• multiplication sign means addition in indices
• Division sign means subtraction in indices
Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers
So,
5⁴/5²
= 5^(4 - 2)
= 5^(2)
= 5²
Therefore,
5⁴ / 25 = 5²
2
What is the value of x in the equation 7x + 2y = 48, when y = 3?
Answer: 6
Step-by-step explanation: 7x+2y=48
7x+2(3)=48
7x+6=48
7x=48+6
7x=42
x=42/7
x=6
