The width of a rectangular room is 3 m shorter than its length. If its perimeter must not exceed 42 m, calculate the greatest length that the room can have.
Write the missing exponent that makes the equation true: 4^t times 2^t = 2^what
4^t × 2^t = 2^what [convert all terms to the same base (2)]
∴ 2^t × 2^t × 2^t = 2^what [use the multiplicat law of exponents]
2^(t+t+t) = 2^what [simplify]
2^3t = 2^what
what = 3t
Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -3. Then graph the line.
Answer:
y = 4/3x -3
Step-by-step explanation:
which of the binomials below is a factor of this trinomial?
x² + 2x - 35
Answer:
(x-5)(x+7)
Step-by-step explanation:
They're the factors of the trinomial x^2+2x-35
The diagram shows a plan for a wheelchair ramp in a shopping Mall. The distance AC is 4 m. calculate the distance AB when BC= 300cm
Answer:500 cm.
Step-by-step explanation:in the picture.
Please give me a brainliest
Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?
The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68
The following information can be gotten from the question:
Total amount spent on e-books and paperback = $68
Cost of e-book = $5 each.
Cost of paperback = $12 each
Number of e-books = x
Number of paperbacks = y
Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:
= 5(x) + 12(y) = 68
5x + 12y = 68
The equation will be 5x + 12y = 68
Read related link on:
https://brainly.com/question/25212173
if M is a multiple of 3 and 7 then it is a multiple of 21
Answer:
It will be true , it is a multiple of 21
p is a degree 3 polynomial with p ( 0 ) = 22.08 and zeros 2 and 4 i . Find an equation for p with only real coefficients (i.e. no i in your equation).
Use x as your input, and round all answers to 2 decimal places as needed.
Answer:
P(x) = -0.69x³ + 2.76x² - 11.04x + 44.16Step-by-step explanation:
Let P(x) is the function with zero's 2 and 4i.
It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.
The function has the shape of:
P(x) = a(x - 2)(x - 4i)(x + 4i)And we have P(0) = 22.08
Let's substitute and find the value of a:
22.08 = a(0 - 2)(0 - 4i)(0 + 4i)22.08 = a(-2)(-4i)(4i)22.08 = a(-2)(-16i²)22.08 = a(-32)a = - 22.08/32a = - 0.69The function is now:
P(x) = -0.69(x - 2)(x - 4i)(x + 4i)
= -0.69(x - 4)(x² + 16)
= -0.69(x³ - 4x² + 16x - 64)
= -0.69x³ + 2.76x² - 11.04x + 44.16
PLease answer ASAP BRAINLEST!!1
Answer:
-7(2x-3y+.7)
Step-by-step explanation:
-14x+21y-4.9
Rewrite in terms of -7
-7 * 2x -7*-3y-7 *.7
Factor out -7
-7(2x-3y+.7)
Find range of the real function
[tex]f = \left \{ \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R \right \}[/tex]
from R into R.
Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given function is
[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]
To find the range of the function f, Let assume that
[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]
[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]
[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]
[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]
[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]
For x to be defined,
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]
[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]
Hence,
[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]
A quality manager for a publishing company checks 3 of every 250 books printed for typos. At that rate, how many of every 15,000 books will be checked for typos?
Answer:
Print between 25 - 2,000 books. Your price per book will go down as your quantity increases.
Step-by-step explanation:
PLZZZ HELP X IS 44 .............
Answer:
y = 136
Step-by-step explanation:
the line is 180 degrees so
180-44 = 136 degrees
Answer:
y=136
Step-by-step explanation:
x=44 y=136
44+136=180
There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first person chosen is a boy, what is the probability that the second chosen is also a boy? Answer in fraction
Using the probability concept, it is found that there is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, supposing that the first person chosen is a boy:
There will be 27 students.Of those, 12 are going to be boys.Hence:
[tex]p = \frac{12}{27} = \frac{4}{9}[/tex]
There is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
To learn more about the probability concept, you can take a look at https://brainly.com/question/25967684
Bath and Body Works is having a special promotion on fall candles. Every 12th guest is receiving a free pumpkin scented candle and every 36th guest is receiving a free Carmel waffle scented candle. Which number of guests will receive both the pumpkin and caramel waffle scented candles?
Answer:
i d k but now i want candles from bath and body works
Step-by-step explanation:
you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?
Answer:
im not sure on how to answer that
Step-by-step explanation:
what is the equivalent value 3/2×(−2)
Answer:
= -3
multiplying and dividing fractions
Answer:
-3
Step-by-step explanation:
3/2^(-2)=-3
Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
1440
Step-by-step explanation:
Explain the parts of an angle
Answer:
line segments are the lines
rays are line segments that have one vertex
a vertex is the endpoint of a line(usually represented by a dot)
Step-by-step explanation:
Please solve with explanation
Answer:
The x coordinate of S is b.
Step-by-step explanation:
a)
The coordinates of Point Q are:
(2a+2b)/2, 2c/2
= [(a + b), c].
The slope of the line AB
= (0-2c)/(2b-2a)
= -c/(b-a)
So The slope of the line QS = (b - a) / c = (b - a)/c.
Its equation is
y - c = (b - a)/c ( x - (a+b))
y = (b - a)/c ( x - (a+b)) + c.
The coordinates of Point P are:
(2a+0)/2, 2(c+ 0)/2
= (a, c)
The slope of the line AO
= (2c)/2a
= c/a
So The slope of the line PS = -a/c
Its equation is
y - c = -a/c(x - a)
y = -a/c(x - a) + c
b)
So:
(b - a)/c ( x - (a+b)) + c
= -a/c(x - a) + c
(b - a)(x - a - b) + c^2 = -a(x - a) + c^2
(b - a)(x - a - b) = -a(x - a)
bx - ab - b^2 - ax + a^2 + ab = -ax + a^2
bx - ax + ax + a^2 - a^2 - ab + ab = b^2
bx = b^2
x = b = the x coordinate of S.
c). The point R has the same x coordinate as S So RS is perpendicular to OB.
trying to figure it out
please help asap!!
-
-
-
-
Answer:
a. y = 2x + 1
b. 20
Step-by-step explanation:
a. With each increasing figure, two more blocks are added on. Through this, we can determine the rule:
y = 2x + 1
y being the total number of blocks in a figure
x being the number of the figure.
_________
b. To figure out which figure number has 41 squares, we can set the equation we found equal to 41.
41 = 2x + 1
40 = 2x
20 = x
So figure 20 will have 41 squares.
x^3+10x^2+19x-30/x+6
Answer:
make it an equation
Step-by-step explanation:
It's not an equation.
PLS HELP I GOTTA TURN THIS INNN
Answer:
Lauren
Step-by-step explanation:
1/2 is Erin
3/4 is Lauren
Answer:
1/2 for Eric and 6/8 for lauren
Eric: 1/2 = 4/8
Lauren: 6/8
Lauren was more succesful
Step-by-step explanation:
Answer these questions pls
1. The constant in the equation is always zero.
Proportional or Non-proportional
2. Y=2x - 4
Proportional or Non-proportional
3.jimmy plans to save $20 every week
Proportional or Non-proportional
Answer:
1. Non-proportional
2. Proportional
3. Proportional
Factor the following expression completely.
16x^5-x^3
A. 1343 1) (4x + 1)
B. 13(41 – 1)
C. (413 – 22)
D. 13(16x2 – 0)
X^(16x^2-1) factor the expression
The answer to the graph
X^3(4x-1)(4x+1)
{x: x belongs to N and (x-1)(x-2) = 0}, finite set or infinite set?
Explanation:
We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.
So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.
anybody answer this question seriously please it has to be correct
Answer: that epuals 2/7
Step-by-step explanation:exam
Express each number in standard form.
a) 1 X 10^3 + 0 X 10^2 + 4 X 10 + 9 X 1
b) 4 X 10^4 + 3 X 10^3 + 8 X 10^2 + 7 X 10 + 0 X 1
c) 8 X 10^6 + 1 X 10^5 + 5 X 1
a) 1,000 + 0 + 40 + 9
b) 40,000 + 3,000 + 800 + 70 + 0
c) 8,000,000 + 100,000 + 5
I hope you can see my question, if you have a phone look at the top for my question. Thank you.
Answer: 10 7/8
Step-by-step explanation: 11 2/8 - 3/8 = 10 7/8
pls help. i will give brainliest!!!!!!
Answer:
the strong correlation
please someone explain to me how did we multiply the denominator in this
ok so what you wanna do is use multiplication