Answer:
86.28 degrees
Step-by-step explanation:
Angle between vectors is
[tex] \cos(x) = \frac{cross \: product}{magnitudes \: multiplied} [/tex]
The cross product is
[tex]4 + 0 - 3 = 1[/tex]
The magnitudes of first vector is
[tex] \sqrt{1 {}^{2} + 2 {}^{2} + 3 {}^{2} } = \sqrt{14} [/tex]
The second vector magnitude is
[tex] \sqrt{17} [/tex]
So the magnitudes multiplied is
[tex] \sqrt{14} \times \sqrt{17} = \sqrt{238} [/tex]
So our equation will be
[tex] \cos(x) = \frac{1}{ \sqrt{238} } [/tex]
[tex]x = \cos {}^{ - 1} ( \frac{1}{ \sqrt{238} } ) [/tex]
X is about 86.28 degrees
The value of a graphed function doubles for each increase of 1 in the value of x. Which of the following could be the parent function of the graphed function? y = 2 Superscript x y = x squared y = StartAbsoluteValue x EndAbsoluteValue y = StartRoot x EndRoot
The parent function of the graph is an exponential function
The equation of the parent function could be y = 2^x
How to determine the possible parent function?From the question, we understand that:
y doubles, as x increases by 1
The above means that the parent function is an exponential function that has a rate of 2
So, we have:
y = 2^x
Hence, the equation of the parent function could be y = 2^x
Read more about parent functions at:
https://brainly.com/question/17586310
Answer:
It's not b
Step-by-step explanation:
Picked b like that guy said and got it wrong on edge 2022
Find the decimal expansion for 5/12
Answer:
Answer would be 0.4166666667
Step-by-step explanation:
find the value of x 115 [5x+30]
Answer:
i assume the question is 115-5x=10
Step-by-step explanation:
if yes then the answer will be
-5x=125
-5x/-5=125/-5
x=25
Easy math 2 pictures
Step-by-step explanation:
1) area = [tex]\pi[/tex] r^2
= 3.14*(11)^2
= 379.94inch
2) area = [tex]\pi[/tex]r^2
= 3.14*(4)^2
= 50.24/2 (semi circle)
= 25.12yards square
how do I get the average of two numbers when one has more than the other
Answer:
[tex]\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}[/tex]
Step-by-step explanation:
[tex]\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}[/tex]
Let x and y be two numbers then the average of x and y is :
[tex]\large \frac{x+y}{2}[/tex]
Example :
The average of 4 and 16 is :
[tex]\frac{4+16}{2} = \frac{20}{2} = 10[/tex]
Dan made $5000 in taxable income last year.
Suppose the income tax rate is 10% for the first $7500 plus 15% for the amount over $7500
How much must Dan pay in income tax for last year?
well, we know is 10% for the first 7500, but Dan only made 5000 of taxable income, so he's in that range of 0 - 7500, so he only gets to pay 10% of 5000.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 5000}}{\left( \cfrac{10}{100} \right)5000}\implies 500[/tex]
The number of homeless people in a city decreased from 1800 to 1500. Find the percentdecrease in homelessness.
Angelo used a radar gun to take a sample of the speeds of cars on the road in front of his house. The results are below.
{57,53,53,71,73,57,61,58,78,64,54,69,56,58,49,56,53,52,82,62,61,60,71,75,60}
Use the results of Angelo's sample to draw the following graphs by hand:
A stem-and-leaf plot,
A histogram with 5 classes,
A box plot.
Be sure your graph is neat by using a straight edge for all lines.
Use a ruler for even spacing on the axes.
Don't forget to include a title and axis labels.
Scan or take a picture of your work. You will upload your graphs in the next question.
Answer:
Step-by-step explanation:
15 There are 30 students in a class. 1 5 like football. How many students do not like football?
Write the word sentence as an inequality. A number y minus 1/2 is no more than −3/2 .
Answer:
y - 1/2 ≤ -3/2
Step-by-step explanation:
y minus 1/2
y - 1/2
is no more than means is less than or equal to ≤
y - 1/2 ≤ -3/2
Please help I'll mark barinliest
Someone help. I do not understand.
Step-by-step explanation:
SinP = sin30° = 1/2
sinQ = sin60° = root3/2
cosR = cos90° = 0
cosQ = cos60° = 1/2
sinR = sin90° = 1
Brianna has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $261.04.
She buys 3 bicycle reflectors for $13.07 each and a pair of bike gloves for $13.57.
She plans to spend some or all of the money she has left to buy new biking outfits for $51.03 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Brianna can purchase while staying within her budget.
Answer: 6 outfits
Step-by-step explanation:
$620 should be greater than the price of the new bicycle + 3 * bicycle reflectors + a pair of bike gloves + unknown number of biking outfits
Therefore, the inequality will be:
620 ≥ 261.04 + 3 × 13.07 + 13.57 + 51.03x
620 ≥ 313.82 + 51.03x
[tex]\text{Solving \ for \ x}[/tex]
[tex]620\ge \:313.82+51.03x[/tex]
[tex]\mathrm{Switch\:sides}[/tex]
[tex]313.82+51.03x\le \:620[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}100[/tex]
[tex]313.82\cdot \:100+51.03x\cdot \:100\le \:620\cdot \:100[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]31382+5103x\le \:62000[/tex]
[tex]\mathrm{Subtract\:}31382\mathrm{\:from\:both\:sides}[/tex]
[tex]31382+5103x-31382\le \:62000-31382[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]5103x\le \:30618[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5103[/tex]
[tex]\frac{5103x}{5103}\le \frac{30618}{5103}[/tex]
[tex]\text{Simplify}[/tex]
[tex]{x\le \:6}[/tex]
Therefore, Brianna can buy 6 or fewer outfits while staying within her budget
what is the GCF of the terms 5x2 -15x
Answer:
it would be 5x
Step-by-step explanation:
5x^2-15x
would be 5x because dividing by 5x you would get 5x(x-3)
but if its 5*2-15x, I don't know
Please help me with this question. Worth 90 points.
Answer:
3510000
Step-by-step explanation:
Answer:
3510000
Step-by-step explanation:
234,000×6percent
that answer*3percent then substract that 3 percent from . the number before multiplied it by three percent
Pls help I need the answer
Answer:
small
time
time
small
please mark brainliest
Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of radius 3.
On = 31/2,w=
- 3/2
On - 3√2, w = 3/2
Oh = 12, w = 312
W
Oh=312. W = 2
The dimensions to maximize the area must be:
length = (√3)/2width = (√3)/2How to get the dimensions of the rectangle?The rectangle with the largest area that can be inscribed on a circle of radius 3, will be a rectangle whose diagonal is equal to the diameter of the circle, so we have:
√(x + y) = 6 units.
Where x and y are the dimensions of the rectangle. We also must have that:
x < 6 unitsy < 6 units.Now, because we have limits, the largest area (which is the product of x and y) happens when x and y have the same value x = y, then we have:
√(x + x) = 6 units.
√(2x) = 6 units.
x = (√3)/2 = y
So the rectangle is actually a square of side length = (√3)/2
If you want to learn more about rectangles, you can read:
https://brainly.com/question/17297081
HELP ME OUT PLS AND HAVE A SHORT ANSWER PLS!!!!!!!
Anthony's sink is shaped like a half-sphere, and it has a volume of 5121 cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out. The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup? In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it. (NOTE: Type out your work & write out your explanation for full credit.)
By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.
How many times does he need to use each cup?
The volume of the sink is 512π in^3.
The blue cup is a cylinder of diameter = 4 in and a height = of 8 in, then its volume is:
V = π*(4in/2)^2*8in = 32π in^3
The number of times that he needs to use this cup is given by:
N = (512π in^3)/(32π in^3) = 512/32 = 16
He needs to use 16 times the blue cup.
The green cup has a diameter =of 8in and a height = of 8in, then its volume is:
V' =π*(8in/2)^2*8in = 128π in^3
The number of times that he must use this cup is:
N' = (512π in^3/ 128π in^3) = 512/128 = 4
He needs to use 4 times the green cup.
hope it helps
have a good day :)
The wholesale price for a desk is $195 A certain furniture store marks up the wholesale price by 30% . Find the price of the desk in the furniture store.
Answer:
$253.5
Step-by-step explanation:
195 x .3 = 58.5
58.5 + 195 = $253.5
The hexagon shown is divided into 4 triangles and a rectangle.
What is the area of the hexagon in square centimeters?
Answer: My good friend this answer is 222.4 because if you take the 16 cm and the 13.9 cm and mulitply the you will get 222.4 and thank you for chosing me.
Step-by-step explanation:
Multiply and divide rational expressions and simplify the answer
Answer:
1. 32x/15
2. 2/x-4
3. 1/10x+10
4. 3x^6/5x^9
5. (x-3)(x-9)/6
6. x^2/3
Step-by-step explanation:
multiply the Numerator with the Numerator of other number and multiply the denominator of the first with the denominator of the second. Find a common factor in both the Numerator and denominator to be able to cross out the identical factors.
SOMEBODY SOLVE THE EQUATION
Answer:
(the answer is in fraction form)
x= 2/3 , -5/2
Answer:
[tex]x=-\frac{5}{2} ,x=\frac{2}{3}[/tex]
Hope This Helps! :) Please Give Brainliest!
How can you find Find critical numbers for f(x) = x3 + 6x2 − 15x
Answer:
[tex]x[/tex]-5, and [tex]x[/tex]1
Step-by-step explanation:
f ([tex]x[/tex]) = 3[tex]x{2}[/tex] + 12[tex]x[/tex] - 15
0= 3([tex]x[/tex][tex]2[/tex] + 4[tex]x[/tex] -5)
0= 3([tex]x[/tex] + 5) ( [tex]x[/tex] - 1)
[[tex]x[/tex]+5=0] [tex]x[/tex]= -5
[[tex]x[/tex]-1=0] [tex]x[/tex]= 1
hope it helped <3
what number equals 2/9?
Which of the following data sets are NOT likely to be normally distributed?
The day of the month on which randomly selected students were born
The day of the month on which randomly selected students were born
The final exam scores of all students taking the same class and given the same final exam in a large school district
The final exam scores of all students taking the same class and given the same final exam in a large school district
The number of wheels on the next 100 vehicles that pass by a point along a highway
The number of wheels on the next 100 vehicles that pass by a point along a highway
The heights of tenth-grade male students at a large high school
The heights of tenth-grade male students at a large high school
The IQs of the students at a large high school
Answer:
Which group's distribution of race times would most likely have the largest standard deviation? The group competing in the open competitions is most likely to have a higher standard deviation than the group competing in the qualified competitions .
Step-by-step explanation:
need help with geometry (number 22)
Answer: 8
Step-by-step explanation: if FH=34 and EG should also =34 then what times 4 +2 would = 34 and that would be 8. EG=4x+2 put the 8 as the x so 4*8+2 and that = 34.
A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V(r) = 8πr2 + πr3, where r is the radius in feet. For what value of r does the tent have a volume of 311 ft3?
Answer:
Check this explaination below
Step-by-step explanation:
Check the attached picture
find the valu of x 8: 10 =x:50
Answer:
40
Step-by-step explanation:
50 / 10 = 5
8 * 5 = 40
Both should be divisible by same amount and that is 5.
Answer:
40
Step-by-step explanation:
Write 2^3 multiply √ 2 as a single power of 2.
[tex]2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^{\tfrac 12}\\\\=2^{3+ \tfrac 12}\\\\=2^{\tfrac 72}[/tex]
Answer:
2^3 x 2^1/2 = 2^7/2
Step-by-step explanation:
Law of indices state that:
a^n × a^y = a^n+y
root 2 is the same thing as 2^1/2
so we can write this equation as;
2^3 × 2^1/2 = 2^3+1/2 = 2^7/2
mohsin purchased a 30 ounce bag of dried Turkish figs for $11.40. What is the cost per pound?
Answer:
$6.08 per pound
Explanation:
30 ounce ⇒ $11.40
conversions:
16 ounce ⇔ 1 pound1 ounce ⇔ 0.0625 poundsolve:
0.0625(30) pound ⇒ $11.401.875 pound ⇒ $11.401 pound ⇒ $6.08Answer:
$6.08
Step-by-step explanation:
Mohsin purchased a 30-ounce bag of dried Turkish figs for $11.40.
⇒ 30 ounces of dried Turkish figs = $11.40
Finding the cost per ounces:
30 ounces of dried Turkish figs/30 = $11.40
⇒ 30 ounces of dried Turkish figs/30 = $11.40/30
⇒ 1 ounce of dried Turkish figs = $0.38
Finding the cost per pounds:
1 pound ↔ 16 ounces
⇒ 1 ounce of dried Turkish figs = $0.38
⇒ 1 ounce of dried Turkish figs × 16 = $0.38 × 16
⇒ 16 ounces of dried Turkish figs = $6.08