[tex]4 {}^{3} .(100 \div 25) - 5 {}^{0} [/tex]
Solution[tex] {4}^{3} \times (100 \div 25) - {5}^{0} \\ \\ = 64 \times 4 - 1 \\ \\ = 256 - 1 \\ \\ = 255[/tex]
[tex] \fbox \red{Hope This Helps }[/tex]
Answer:
255
Step-by-step explanation:
1) Simplify 100 ÷ 25 to 4.
4³ × 4 - 5⁰
2) Use Rule of Zero: x⁰=1
4³ × 4 - 1
3) Use Product Rule
4⁴ - 1
4) Simplify 4⁴ to 256
256 - 1
5) Simplify
255
The polynomial of degree 4, P ( x ) , has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 2 . It goes through the point ( 5 , 336 ) . Find a formula for P ( x ) . P ( x ) =___
Show your work
We want to find a polynomial given that we know its roots and a point on the graph.
We will find the polynomial:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:
p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)
Here we know that the roots are:
x = 1 (two times)x = 0x = -2Then the roots are: {1, 1, 0, -2}
We can write the polynomial as:
p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))
p(x) = a*(x - 1)*(x - 1)*(x + 2)*x
We also know that this polynomial goes through the point (5, 336).
This means that:
p(5) = 336
Then we can solve:
336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5
336 = a*(4)*(4)*(7)*5
336 = a*560
366/560 = a = 183/280
Then the polynomial is:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
If you want to learn more, you can read:
https://brainly.com/question/11536910
These triangles are scaled copies of each other.
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
a. Triangle G and Triangle F Response area
b. Triangle G and Triangle B Response area
c. Triangle B and Triangle F Response area
d. Triangle F and Triangle H Response area
e. Triangle G and Triangle H Response area
f. Triangle H and Triangle B Response area
Answer:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
Step-by-step explanation:
The ratio of the areas is the square of the ratio of the lengths of the sides.
a. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
side in F: 10
corresponding side in G: 5
ratio of lengths of F to G = 10/5 = 2
ratio of areas of G to F: (2)^2 = 4
b. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
side in G: 5
corresponding side in B: 5/2
ratio of lengths of B to G = (5/2)/5 = 1/2
ratio of areas of B to G: (1/2)^2 = 1/4
c. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
side in B: 5/2
corresponding side in F: 10
ratio of lengths of F to B = 10/(5/2) = 4
ratio of areas of F to B: (4)^2 = 16
Do the same for the other 3 pairs of triangles.
The answers are:
d. 1/9
e. 4/9
f. 9/16
The ratio of the areas is the square of the ratio of the lengths of the sides.
Let's find the ratio of areas one by one:
A. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
Side in F= 10
Corresponding side in G= 5
The ratio of lengths of F to G = 10/5 = 2
The ratio of areas of G to F= (2)^2 = 4
B. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
Side in G= 5
Corresponding side in B= 5/2
The ratio of lengths of B to G = (5/2)/5 = 1/2
The ratio of areas of B to G: (1/2)^2 = 1/4
C. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
Side in B= 5/2
Corresponding side in F= 10
The ratio of lengths of F to B = 10/(5/2) = 4
The ratio of areas of F to B: (4)^2 = 16
D. Triangles F and H
Select a side in triangle F and the corresponding side in triangle H:
Side in F= 10
Corresponding side in H= 10/3
The ratio of lengths of H to F = (10/3)/10 = 1/3
The ratio of areas of H to F: (1/3)^2 = 1/9
E. Triangles G and H
Select a side in triangle G and the corresponding side in triangle H:
Side in G= 5
Corresponding side in H=10/3
The ratio of lengths of H to G = (10/3)/5 = 2/3
The ratio of areas of H to G: (2/3)^2 = 4/9
F. Triangles H and B
Select a side in triangle H and the corresponding side in triangle B:
Side in H=10/3
Corresponding side in B= 5/2
The ratio of lengths of B to H = (5/2)/(10/3) = 3/4
The ratio of areas of H to G: (3/4)^2 = 9/16
The final answers are:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
To learn more about the ratio of areas,
brainly.com/question/7071992
Commission A sales associate in a jewelry store earns $450 each week, plus a commission equal to 6% of her
sales. This week her goal is to earn at least $600. How much must the associate sell in order to reach her goal?
1. Write an expression to represent how much a sales associate earns each week. Remember to define your variable.
2. How much does she want to earn this week?
3. Should you use an equation or an inequality to compare the amount the sales associate earns and her goal?
Explain.
4. What inequality can you use to find how much the associate must sell in order to reach her goal?
5.
Solve the inequality. Show your work.
2. Carlie graphed a line with a negative slope.
What must be true about the graph?
a. The graph decreases from left to right.
b. The graph increases from left to right.
c. The graph must cross (0,0).
d. The graph must be contained in Quadrants
III and IV.
Answer:
A. The graph decreases from left to right
*EASY* I WILL GIVE BRAINLIST TO THE FIRST RIGHT ANWSER
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east an 4 blocks north to a coffee shop. Then she walks 4 blocks west and 3 blocks north to a museum. Where is the museum in relation to her hotel?
here's the format for the answer if it helps : The museum is _ blocks _(West/East) and _ blocks _(South/North) of her hotel.
Answer:
Step-by-step explanation:
Find m angleA
A. 10
B. 20
C. 16
D. 14
A bag contains 3 black marbles and 5 white marbles. Paul picks a marble at random from the bag and replaces it back in the bag. He mixes the marbles in the bag and then picks another marble at random from the bag. Calculate the probability that Paul picks:
A. Two black marbles
B. Black marble in his second draw
Answer:
id go with B.
you'd get a mix because its bound to happen.
Shane wants to plant 28 marigold plants and 36 rose plants in his garden. What is the greatest number of rows possible if each row has the same number of marigold plants and the same number of rose plants.
Answer:
HCF=2*2=4
Step-by-step explanation:
Given : Shane wants to plant 28 marigold plants and 36 rose plants in his garden
To Find : the greatest number of rows possible each row has the same
number of marigold plants and the same number of rose plants.
Solution:
marigold plants = 28
rose plants = 36
To find the greatest number of rows possible if each row has the same
number of marigold plants and the same number of rose plants.
we need to find HCF of 28 and 36
28 = 2 x 2 x 7
36 = 2 x 2 x 3 x 3
HCF = 2 x 2 = 4
greatest number of rows possible is 4
Learn More:
5. On a school trip, 56 and 98 went to Kanyakumari. They ...
brainly.in/question/13732709
If the HCF of (p²-p-6) and (p²+3p-18) is (p-a). Find the value of a ...
brainly.in/question/7765835
GCF of 27 and 45 and how to solve with either Prime factorization or the step diagram or the tree method help now pls
Answer:
( 3 x 3 x 3 ) and ( 3 x 3 x 5 ) The GCF of 27 and 45 is 3 x 3 = 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Prime factorization of 27 and 45 is (3 × 3 × 3) and (3 × 3 × 5) respectively. As visible, 27 and 45 have common prime factors. So, the GCF of 27 and 45 is 3 × 3 = 9.
An online math game gives one point for each correct answer and -1/2 point for each incorrect
answer.
Alice gets 6 correct answers and 2 incorrect answers.
Jasper gets 6 correct answers and 4 incorrect answers.
Alice has
---- more point(s) that Jasper.
1
two
three
four
one
x2−5x+8 if x=3 help me
Which expression is equivalent to √10/4√8?
Answer:
A
Step-by-step explanation:
A
Graph the following features: Slope = 3/2 Y-intercept = 5
Plz answer
only do 9 question , step by step
Plz help , I will mark as brainilist
Answer:
[tex]2x + 3x = 180 \\ because \: they \: are \: o n \: one \: line \\ 5x = 180 \\ x = 180 \div 5 = 36[/tex]
Select the correct answer. The population of a community, , is modeled by this exponential function, where x represents the number of years since the population started being recorded. p(x) = 2,400(1.025)x What is the approximate population 3 years after the population started being recorded?
A. 7,380 people
B. 2,460 people
C. 2,584 people
D. 14,887 people
The approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×
where a is a constant and a>1
It is given that:
The population of a community is modeled by this exponential function, where x represents the number of years since the population started being recorded:
p(x) = 2,400(1.025)×
Plug x = 3 years in the above function.
P(3) = 2400(1.025)³
P(3) = 2400x1.0768
P(3) = 2584.53 ≈ 2584 people
Thus, the approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ2
Ice on a lake gets thicker as long as the temperature is below freezing. On a certain lake it took 8 days for the ice to reach a thickness of 3 inches. At what rate was the ice growing over these 8 days in inches per day?
The average rate of growth of the ice can be found by dividing the thickness by the number of days of growth
The growth rate of the ice over the 8 days is 0.375 inches/day
Reason:
The known information on the ice are;
The time it took the ice to reach a thickness of 3 inches = 8 days
Required:
The (average) rate that the ice is growing in c=inches per day
Solution:
[tex]Rate \ of \ growth \ of \ ice= \dfrac{Increase \ in \ thickness}{ Time} = \dfrac{\Delta \ Thickness}{\Delta T}[/tex]
Therefore;
[tex]Rate \ of \ growth \ of \ ice= \dfrac{3 \ inches}{ 8 \ days} = 0.375 \ inches/day[/tex]
The (average) rate of growth of the ice over the 8 days is 0.375 inches per day
Learn more here:
https://brainly.com/question/17255666
Please help me solve this problem
Answer:
i am sorry but plz help me
Which expression represents, five times the quotient of two numbers?
A. 5+rt
B. 5%r/t
C. r/5t
D. 5(r/t)
PLZ HELP
Answer:
Five times the quotient of two numbers
5*( r/t)
Step-by-step explanation:
5 times the qoutient of 2 numbers is 5+rt
Help help helpppo plz plz plz I forgot how to do this it is for my Lil bro so plz help meh
Answer:
6 is greater than -7.
-7 has the greater absolute value.
Step-by-step explanation:
Any number that is not negative is going to be greater than any number that is negative. So 6 is greater than -7. But with absolute value it's a little bit different. You can just think about it in terms of distance. Whichever number is further from zero is going to have the greater absolute value whether it's negative or not.
Dan şi Andrei au inventat Jocul rotunjirii" și au hotărât ca fiecare să scrie cinci numere care se rotunjesc la zeci de mii prin 70 000. Copiii au stabilit însă și următoarele reguli: a. numerele scrise de Dan să aibă pe locul zecilor de mii o cifră mai mică decât 7; b. numerele scrise de Andrei să aibă pe locul zecilor de mii cifra 7; Scrie și tu câte şase numere care se rotunjesc la 70 000 și respectă regulile stabilite de băieţi.
I would actually need you to translate this into english I I would be able to answer for you :)
If 96 of the 224 participants in club activities are residents, what is the ratio of nonresidents to residents who participate in club activities? Write the ratio in lowest terms as a fraction or with a colon.
Pls help a girl out
Help
Solve the inequality. Then, graph the solution set on a number line. (Show all your work)
that's what it's graph looks like.
Step-by-step explanation:
[tex] |2w + 8| \geqslant 15[/tex]
[tex] \implies \mathsf{2w + 8 \geqslant 15 \: }\\ \mathsf{or }\\ \mathsf{ \: 2w + 8 \leqslant - 15}[/tex]
(that's a property, if |x| >= a
=> x >= a or x <= -a)
[tex] \implies \mathsf{2w \geqslant 15 - 8\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant - 15 - 8}[/tex]
[tex]\implies \mathsf{2w \geqslant 7\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant -23}[/tex]
[tex]\implies \mathsf{w \geqslant \frac{7}{2} \: }\\ \mathsf{or }\\ \mathsf{ \: w \leqslant \frac{ - 23}{2} }[/tex]
7
Compare the fractions
3
64
8
A)
<
B)
C)
Answer:
74/8
Step-by-step explanation:
Answer:
LCM of 64 and 8 is 64
Step-by-step explanation:
pls answer me ill give points and brainlest
Answer:
Sorry is there any more information i will then change answer
Step-by-step explanation:
Given m || n, find the value of x and y.
m
(8x-5)
(y+16)
n
(5x-10)
Answer:
x=6
y=9 so it is the answer....
Please help
Due tmr morning
Answer:
2 / 6 = 0.3333...
4 / 6 = 0.6666...
5 / 6 = 0.83333...
Step-by-step explanation:
Answer: there you go
Step-by-step explanation:
2/6 = 0.3
4/6 = 0.6
5/6 = 0.83
Jason, murray, and dana went fishing. Dana caught a red snapper. Jason caught a tuna with a weight 3 times as great as the weight of the red snapper. Murray caught a sailfish with a weight 12 times as great as the weight of the red snapper. If the combined weight of the three fish was 208 pounds, how much did the tuna weigh?
Answer:
Tuna = 39 pounds
Red Snapper 13 pounds
Sailfish = 156 pounds
Step-by-step explanation:
T = 3x
RS = x
S = 12x
3x + x + 12x = 208
16x = 208
x = 208/16
x = 13
Tuna = 3(13)=39
Red Snapper = 13
Sailfish = (12)(13) = 156
At what % does a 20,000 dollar loan taken out for 10 years have a monthly payment of 202.49?
Answer:
Step-by-step explanation:
thankyousm!! please help me
what is the
answer would love to now
Answer:
D
Step-by-step explanation:
It's between C and D.
3x^2 - 7x^2 = - 4x^2
- 4x^2 + 5x - 28 is the answer so it is D.