Answer:
[tex]2x+16y[/tex]
Add [tex]12y[/tex] and [tex]4y[/tex].
[tex]2x+16y[/tex]
Answer:
2x + 16y
Step-by-step explanation:
The y terms can be added together. 12y + 4y is 16y. The 2x has to just stay the way it is because it could only be added to another x term and there aren't any. So you are left with 2x + 16y
add or subtract the given percent from
71% subtracted from 100% is 29%
Complete questionAdd or subtract the given percent from 100%.
71%
How to solve the expression?The percentage (p) is given as:
p = 71%
When subtracted from 100%, we have:
100% - p
Substitute p = 71%
100% - 71%
71 subtracted from 100 is 29.
So, we have:
100% - 71% = 29%
Hence, 71% subtracted from 100% is 29%
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Three times the sum of a number and 3 is 3 less than the number times 5. Find the
number.
Answer:
3 * (x + 3) = x * 5 - 3
1/2x +3x = 14
steps?
Answer: Heyaa! ~
Your Answer would be.. =4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.Convert the integer into a fraction:Combine the fractions:Combine the numerators:Multiply both sides by inverse fraction 2/7:Group like terms:Simplify the fraction:Multiply the fractions:Simplify the arithmetic:Hopefully this helps you ! ^^
Need help checking my work for Trigonometry. Will mark brainist!
Answer:
1. 0.9925 (4 d.p.)
2. 17°
3. 67°
Step-by-step explanation:
Question 2
⇒ sin 83° = 0.9925461516...
⇒ sin 83° = 0.9925 (4 d.p.)
Question 3
[tex]\sf \implies \sin X=0.2923[/tex]
[tex]\sf \implies X=\sin^{-1}(0.2923)[/tex]
[tex]\implies \sf X=16.99570395...^{\circ}[/tex]
[tex]\implies \sf X=17^{\circ}\:\:(nearest\:degree)[/tex]
Question 4
Sine Ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the triangle:
[tex]\theta[/tex] = WO = OS = 24H = OW = 26Substitute the values into the formula and solve for W:
[tex]\implies \sf \sin(W)=\dfrac{24}{26}[/tex]
[tex]\implies \sf W= \sin^{-1}\left(\dfrac{24}{26}\right)[/tex]
[tex]\implies \sf W=67.38013505...^{\circ}[/tex]
[tex]\implies \sf W=67^{\circ}\:\:(nearest\:degree)[/tex]
What is the time in 24 hour clock for 03:50 pm?
a.0350 hrs
b.1350 hrs
c.1550 hrs
d.1650 hrs
Answer:
Option C
Step-by-step explanation:
Any evening time on a 24 hour clock will be that hour add 12 :
3:50 pm =
3:50 + 12:00 = 15:50
Option C must be the answer
Hope this helped and brainliest please
Answer:
c.1550 hrs
Step-by-step explanation:
It Is military time to it stays going for 12:00 to 13:00 14:00 15:00 and so on
Hope This Helped
The product of a number and 2 is 1. Find eight times the number.
Answer:
I would think that it would be 8
Step-by-step explanation:
1-2= (-1)= -1+2=1
I think it's 8. 8 times the number of 1 is well...8.
Step-by-step explanation:
x = the number
x * 2 = 1
soooo x = 1/2
then 8 * 1/2 = 4
Find the area of AAOB
9√3 un
3√3 um
4.5/3 2
The area of the triangle AOB is 9√3 square units
How to determine the area of AOB?The triangle AOB is an equilateral triangle with the following parameters:
Side length, x = 6
Angle, y = 60
The area of the triangle is then calculated using:
Area = 0.5 * x^2 * sin(y)
So, we have:
Area = 0.5 * 6^2 * sin(60)
Evaluate
Area = 18 * 0.5√3
Evaluate the product
Area = 9√3
Hence, the area of the triangle AOB is 9√3 square units
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NEED HELP ASAP, PLEASE ANSWER THIS
Answer:
Given units of measures of volume:
mm³ = millimeters cubedcm³ = centimeters cubeddm³ = decimeters cubed ⇒ 1 dm³ = 1 literm³ = meters cubed ⇒ 1 m³ = 1000 litersUnits of measure:
mm < cm < dm < m1000 mm = 100 cm = 10 dm = 1 m1. Water in a rectangular pool → m³
2. an ice cube before it melts → cm³
3. a dice → mm³
4. a blackboard eraser → cm³
5. oil in a rectangular box → dm³
To convert liters to cubic meters, divide by 1000:
⇒ 6700 L³ = 67000 L = 6700 ÷ 1000 = 6.7 m³
To convert liters to cubic centimeters, multiply by 1000:
⇒ 28 L³ = 28 L = 28 × 1000 = 28,000 cm³
2. Identify the missing factors:
d) 20 = (4) (?)
e) -14x = (7) (?)
f) x3 =x2 (?)
Answer:
d) 20 = (4) (5)
e)-14x = (7) (0) = undefined
f) Every Real numbers are solutions, here.
Step-by-step explanation:
2) Identify the missing factors:-
d) 20 = 4(?)
Solved:
Let us assume that *?* = x here.
20 = 4x20/4 = x5 = xx =5e)-14x = (7) (?)
Assume *?* as x
-14x = 7x−14x−7x=7x−7x−21x=0x = 0/-21 = undefinedf) x^3=x^2(?)
Assume ? as x
x³=x²(x)x³−x³=x^3−x^30=0Real numbers are solutions.Solve for x:
-(x + 2.1) = -4.8 -0.9(-10x + 5) + 10x
Answer:
the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 22.1 pounds. a sample of seven infants is randomly selected and their weights at birth are recorded as 21.1, 25.1, 26.1, 27.1, 24.1, 31.1, and 31.1 pounds. if α = 0.010, what is the critical value? the population standard deviation is unknown.
The critical value at the 0.010 significance level with 6 degrees of freedom are ±3.7074
How to determine the critical value?The dataset is given as:
21.1, 25.1, 26.1, 27.1, 24.1, 31.1, and 31.1
The sample mean is:
[tex]\bar x = 22.1[/tex]
The significance level is
α = 0.010
Start by calculating the degrees of freedom using:
df = n - 1
Where n represents the sample size (n = 7)
So, we have:
df = 7 - 1
df = 6
Using the table for t critical values for a two-tailed test, we have:
Critical value = ±3.7074
Hence, the critical value at the 0.010 significance level with 6 degrees of freedom are ±3.7074
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3D TRIGONOMETRY PLS HELP ME HELP
Please someone help me with this
Answer:
Option c
Step-by-step explanation:
Since tangent = op/adj, in this case the tan37 would be x/1000.
Then, set it up as an algebra problem.
tan37 = x/1000
Multiply both sides by 1000, so 1000tan37=x
that simplifies to x = 753.6
Quadrilateral abcd has the vertices a(-6,4) , b(-4,5) , c(-3,3) , d(-5,1) . determine if quadrilateral abcd is a rhombus
Answer:
No
Step-by-step explanation:
The defining property of a rhombus is that it has equal side lengths.
=============================================================
Finding all side lengths :
AB
⇒ √(-4 + 6)² + (5 - 4)²
⇒ √2² + 1²
⇒ √5 units
BC
⇒ √(-3 + 4)² + (3 - 5)²
⇒ √1² + (-2)²
⇒ √5 units
CD
⇒ √(-5 + 3)² + (1 - 3)²
⇒ √(-2)² + (-2)²
⇒ √8 units
DA
⇒ √(-6 + 5)² + (4 - 1)²
⇒ √(-1)² + 3²
⇒ √10 units
As all side lengths of the quadrilateral are not equal, ABCD is not a rhombus.
A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set aside. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?
[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the range, standard deviation, and variance say about gas prices in 2018?
The range, standard deviation, and variance say about gas prices in 2018 discussed below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
As the variance in 2018 is 0.0121.
A model with low variance means sampled data is close to where the model predicted it would be.
As the standard deviation in 2018 is 0.1098.
Low standard deviation means data are clustered around the mean
A small range means low variability in a distribution.
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Consider the graph of the function f(x)=(x−2)12 below. Which statements are true about the function f(x) ? Choose all that are correct. A The minimum value of f(x) occurs at the point x=0 . B The function does not reach a maximum value. C The function is increasing for all values of x larger than 2. D For some values of x , f(x)<0 . E The function is decreasing for all values of x smaller than 2.
The correct statements regarding the function in the graph are given as follows:
B. The function does not reach a maximum value.
C The function is increasing for all values of x larger than 2.
What are the correct statements regarding the function?The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.
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Can you guys help me with this math questions
Answer:
2) $40 per shirt
3) 80/9 m = 8.9 m (nearest tenth)
Step-by-step explanation:
The first question has been answered here: https://brainly.com/question/27846862
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Question 2
Given information:
Previous sales = 300 shirts at $20 eachFor every $1 increase in price, the number of sales diminishes by 5Let [tex]x[/tex] = number of $1 increases
Let [tex]y[/tex] = total revenue (in dollars)
From the given information:
Price change of shirt: [tex](20 + x)[/tex]Number of sales change: [tex](300 - 5x)[/tex]Therefore, we can create a quadratic equation with the given information:
[tex]\implies y = (20+x)(300-5x)[/tex]
As we need to find the maximum amount of revenue, we need to find the vertex of [tex]y[/tex]. As the equation is already factored, the quickest way to do this is to the find the mid-point of the zeros (since a quadratic curve is symmetrical).
[tex]\begin{aligned}y & =0\\\implies (20+x)(300-5x) & =0\\\implies (20+x) & =0 \implies x=-20\\\implies (300-5x) & = 0 \implies x=60\end{aligned}[/tex]
[tex]\textsf{Midpoint}=\dfrac{-20+60}{2}=20[/tex]
Therefore, Sammy should have 20 $1 increases to maximize the revenue, so the new price will be:
[tex]\implies \$20 + 20 \times \$1 = \$40\: \sf per\:shirt[/tex]
------------------------------------------------------------------------------------------------------
Question 3
Given information:
Bridge is modeled as a parabolaWidth of bridge = 30 mMax height of bridge = 10 m high (in the middle)As the bridge is modeled as a parabola, and we have been given the width and height, we can create a quadratic equation using the vertex form.
Vertex form: [tex]y=a(x-h)^2+k[/tex]
where:
x is the horizontal distance of the bridgey is the height of the bridge(h, k) is the vertexa is some constantMiddle of the bridge = 30 m ÷ 2 = 15 m
Max height of the bridge = 10 m
Therefore, the vertex of the parabola is (15, 10)
[tex]\implies y=a(x-15)^2+10[/tex]
We know that when [tex]x = 0, y = 0[/tex]. Therefore, substitute these values into the equation and solve for a:
[tex]\implies 0=a(0-15)^2+10[/tex]
[tex]\implies 0=225a+10[/tex]
[tex]\implies 225a=-10[/tex]
[tex]\implies a=-\dfrac{10}{225}[/tex]
[tex]\implies a=-\dfrac{2}{45}[/tex]
Therefore, the equation of the parabola is:
[tex]\implies y=-\dfrac{2}{45}(x-15)^2+10 \quad \quad \textsf{for }0\leq x\leq 30[/tex]
The horizontal distance at 5 m right of the middle is:
[tex]\implies \dfrac{30}{2}+5=20\:\sf m[/tex]
Therefore, to find the height at this point, input [tex]x=20[/tex] into the equation and solve for y:
[tex]\implies -\dfrac{2}{45}(20-15)^2+10=\dfrac{80}{9}\:\sf m[/tex]
Therefore, the height of the bridge at 5 m to the right of the middle is:
[tex]\dfrac{80}{9}\:=8.9\: \sf m\:(nearest\:tenth)[/tex]
Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. help please! Even these simplest questions get me stuck.
Answer:
The x-intercept is at (-3, 0).
Step-by-step explanation:
log 1 = 0, so the x intercept of y = log x is at (1, 0).
The + 4 in the parentheses moves the whole graph 4 units to the left.
Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.
If f(x) =
(3 + x)
(x-3)
what is f(a + 2)?
Answer:
(a^2)+4a-5
Step-by-step explanation:
(3+a+2)(a+2-3)
(a+5)(a-1)
use FOIL or box method
5a-5+(a^2)-a simplifyes to
(a^2)+4a-5
Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25
Answer:
-5
Step-by-step explanation:
x² - 4x - 45 = 0
(x - 9)(x + 5) = 0
x = 9 or -5
x² - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or -5
-5 is a common factor between both of them
Which of these is a correct expansion of (3x − 1)(4x² + 5)?
OA. 3x 4x2 + 3x 5+1 4x² +1.5
OB. 3x. 4x² + 3x • 5+ (−1) • 4x² + (−1) • 5
OC. 3x 4x² + (-1). 4x² + 4x².5+ (-1).5
Joseph and his children went into a movie theater where they sell bags of popcorn for $7.50 each and pretzels for $4.75 each. Joseph has $95 to spend and must buy no less than 16 bags of popcorn and pretzels altogether. If
x
x represents the number of bags of popcorn purchased and
y
y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Step-by-step explanation:
What is .63 as a fraction
40
A box contains
crayons.
Of these, 7 are red. 4 are blue. 8 are
green, and the rest are yellow. If a
crayon is chosen at random, not
replaced, then another is chosen.
what is the probability that
both crayons are yellow?
Answer:
51%
Step-by-step explanation:
Point P is located at (-2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located 2/3 the distance from point P to point R.
A. 4.9
B. 4.7
C. 2.5
D. 2.3
help me pleaseeeeeeeee
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]
Solve for X
1.1x + 1.4x = 350
Answer:
X= 140
Step-by-step explanation:
I hope this helps. =D
Answer:
x=140
Step-by-step explanation:
1.1x+1.4x=350 1. combine like terms which 1.1x+1.4x
2.5x=350 2. /2.5 on both sides
x=140
Jordan ran 7/8 mile on Monday and 5/6 mile on Tuesday.
How much farther did Jordan run on Monday than on Tuesday?
Enter your answer as a fraction in simplest form
Answer:
[tex] \frac{1}{24} miles \\ [/tex]
Step-by-step explanation:
[tex] \frac{7}{8} - \frac{5}{6} = \frac{1}{24} [/tex]
DUE TODAY: PLEASE HELP
Use transformations to prove that the two figures are similar. Shape A is the original image
(Show work please, how it is similar or not)
Answer:
See below ~
Step-by-step explanation:
We need to prove that the figures are similar by applying the various kinds of transformations.
===============================================================
Question A :
⇒ Compare the side lengths of A and B
⇒ 2 : 5 (for all sides)
⇒ 1 : 2.5
⇒ Hence, Shape A has been dilated with a scale factor of 2.5 to form Shape B
=============================================================
Question B :
⇒ Compare the side lengths of A and B
⇒ A : B = 2 : 6
⇒ A : B = 1 : 3
⇒ Shape A has been dilated with a scale factor of 1/3 to form Shape B