Answer:
Given : line y=mx+4 intersects the curve y=3x2 −4x+7at two distinct points.
To find : set of values of m
Step-by-step explanation:
y = mx + 4
y = 3x² − 4x + 7
Substitute y = mx + 4 to find intersection point
mx + 4 = 3x² − 4x + 7
=> 3x² - x(m + 4) + 3 = 0
(m + 4)² > 4(3)(3)
=> m² + 8m + 16 > 36
=> m² + 8m - 20 > 0
=> (m + 10)(m - 2) > 0
m < - 10 & m > 2
m = (-∞ , - 10) ∪ ( 2 , ∞ )
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 :)
Yes I wanted to know what is the answer
Answer:
14 flats
5 plants
Step-by-step explanation:
First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14
The 14 times 6 would get you 84
Then subtract 84 from 89 and you get 5 plants left over ^^
What is the perimeter of a 6-inch square? 20 inches 24 inches 18 inches 14 inches
Answer:
24 inches
Step-by-step explanation:
the perimeter of a square with a side measurement of 6 inches is equal to 24 inches.
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
Solve for kkk.
8(10-k)=2k8(10−k)=2k
Answer:
k = 8
Step-by-step explanation:
We know that 8(10-k) = 2k so:
8(10−k)=2k
Simplify both sides of the equation:
8(10−k)=2k
(8)(10)+(8)(−k)=2k
80+−8k=2k
−8k+80=2k
Subtract 2k from both sides:
−8k+80−2k=2k−2k
−10k+80=0
Subtract 80 from both sides:
−10k+80−80=0−80
−10k=−80
Divide both sides by -10:
[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]
k = 8
If these two shapes are
similar, find X
Answer:
4
Step-by-step explanation:
If the shapes are similar we can use the side length proportion to find the value of x:
7/91 = x/52 cross multiply expressions
91x = 364 divide both sides by 91
x = 4
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
Having a hard figuring this one out
the simple form of this is....
[tex] {2}^{3 } \div {2}^{ - 5} [/tex]
Answer: [tex]2^8 = 256[/tex]
Explanation:
The rule to use is
[tex]a^b \div a^c = a^{b-c}[/tex]
We subtract the exponents.
So in this case,
[tex]2^3 \div 2^{-5} = 2^{3-(-5)} = \boldsymbol{2^8} = \boldsymbol{256}[/tex]
Please answer .....
there are 5 blue, 4 red, 1 yellow and 2 green bead in a bag.
A) Find the probability that a bead chosen at random from the bag is blue?
B) Find the probability that a bead chosen at random from the bag is red or yellow?
C) Find the probability that a bead chosen at random from the bag is white?
D) Find the probability that a bead chosen at random from the bag is NOT yellow?
Q4) A fruit bowl contains 4 apples, 3 oranges, and 8 bananas, find the probability of
a) Randomly selected orange
b) Randomly selected apples
c) Randomly selected apple or banana
d) Randomly selected orange ,replace it then select banana
Q5) a number cube labeled by the numbers (3,3,3,3,5,5),what is the probability of
a) The number cube shows a 5
b) The number cube shows a 3
c) Having 5 and then 5 when the number cube rolled twice
d) Having 5 and then 3 when the number cube rolled twice
Answer:
A) 5/12
B) 5/12
C) 0/12
D) 11/12
-------------
Q4.
A) 3/15
B) 4/15
C) 12/15
D) 8/15
-----------------
Q5.
A) 2/6 or 1/3
B) 4/6 or 2/3
C)
D)
Step-by-step explanation:
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
Find a root of the Equation, x2 − 4x −10 = 0 using bisection method.
Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
What is the Bisection Method?The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.
Given the equation:
x² - 4x - 10 = 0.
Applying the bisection method, we would have the following:
x² - 4x + (2²) - (2²) - 10 = 0
(x - 2)² - 14 = 0
Add 14 to both sides
(x - 2)² = 14
Take the square root of both sides
x - 2 = ±√14
x = 2 ± √14
x = 2 - √14 = -1.74
or x = 2 + √14 = 5.74
Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
Learn more about bisection method on:
https://brainly.com/question/13314803
Find the decimal expansion for 5/12
Answer:
Answer would be 0.4166666667
Step-by-step explanation:
please show me how you also got the answer as well, thanks a bunch!!
Answer:
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.
Use a fraction or mixed number to represent the time on a number line. Let 0 represent noon.
8:30 A.M.
The time 8:30AM is 3 and half hours before noon.
The fraction that represents 8:30AM is -3 1/2
How to represent the time as fraction?The time is given as:
Time = 8:30 A.M
Given that Noon is represented by 0.
It means that time before noon would be represented with negative value
8:30AM is 3 and half hours before noon.
So, we have:
8:30AM = -3 1/2
Hence, the fraction that represents 8:30AM is -3 1/2
Read more about fractions at:
https://brainly.com/question/1622425
The graph of g(x) contains the points (3, -13) and (-3, 17).
Which statement is true?
OA. The graphs of f(x) and g(x) have the same steepness with negative slopes.
OB. The graph of g(x) is steeper than the graph of f(x).
OC. The graphs of f(x) and g(x) have the same steepness with positive slopes.
OD. The graph of g(x) is less steep than the graph of f(x).
Answer:
Step-by-step explanation:
Sorry if I got you the wrong answer but I think it's, OB
On a coordinate plane, 2 lines are parallel to each other. This system of equations has
Answer:
no solution
Step-by-step explanation:
This is because they never intersect so there is no solution.
Answer:
no solution
Step-by-step explanation:
Pls help I need the answer
Answer:
small
time
time
small
please mark brainliest
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
If the annual interest rate 4%, how long does it tke for you investment of $10,000 to grow to $15,000
If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years. Hope this helps ! Have a good day! :)
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]
which statement correctly compares the shapes?
Answer:
I believe D should be the correct answer
I need help on this question
~Denki Kaminari here~
Answer:
5t\sqrt(6su) (THE SECOND ONE)
Step-by-step explanation:
simplify the radical by breaking it up into known factors, assuming positive real numbers.
hope this helps :D
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
Slope-intercept Form: y = 3/4*x -2
Step-by-step explanation:
From looking at the graph we can get out slopes which is rise/run and y-intercept.
m = 3/4 and b = -2
Slope-intercept Form: y = 3/4*x -2
If the teacher wants to show work you would have to use a point-slope form using those two points to solve m. Then using a point and slope plug that into the point-slope form and make it into slope-intercept form.
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
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:
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:
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
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