Answer:
x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75
Step-by-step explanation:
(x⁵ – 3x³ – 3x² – 10x + 15) ˣ (x² – 5) = x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75
Find the size of each of the unknown angles. Help me plz
Answer:
2a+15 = 125(being alternate angle)
or,2a = 125-15
or,2a = 110
or,a = 110÷2
,a = 55
again,2a+15+b+30=180(Being co-interior angle)
or,2×55+15+b+30=180
or,110+15+30+b=180
or,155+b=180
or,b=180-155
Therfore,b=25
The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters, and the six sides of the box are uniformly 12 centimeter thick. A closed canister in the shape of a right circular cylinder is to be placed inside the box so that it stands upright when the box rests on one of its sides. Of all such canisters that would fit, what is the outer radius, in centimeters, of the canister that occupies the maximum volume
Answer:
Vmax = 192.33 cm³
Step-by-step explanation: An error in the problem statement. The sides of the box could not be 12 cm. We assume 1.5 cm
Inside dimensions of the box:
Outer dimensions : 12 10 8
2 * 1.5 = 3 3 3 3
Inside dimensions: 9 7 5
The volume of a right circular cylinder is:
V(c) = π*r²*h r is the radius of the base and h the height
By simple inspection is obvious that volume maximum will occur when r is maximum, and r is maximum, only when the base of the cylinder is in the rectangle 12*10. ( Inside dim 9*7 ) In that case r = 7/2 r = 3.5 cm
Then the height is 5 cm.
And the maximum volume of the cylinder is:
Vmax = 3.14* ( 3.5)²*5
Vmax = 192.33 cm³
Solve for x. Round to the nearest tenth of a degree, if necessary
Step-by-step explanation:
here's the answer to your question
What is the simplest form of this expression?
Answer:
a is correct option......
A fruit punch mixture is made of Orange juice, Pineapple juice, in a 3:5:7 ratio. How much of each juice type do you need for a 375 mL mixture?
Answer:
Amount of orange juice = 75 ml
Amount of Pineapple juice = 125 ml
Amount of mix juice = 175 ml
Step-by-step explanation:
Given:
Type of juice
Orange juice, Pineapple juice, mix juice
Ratio: 3 : 5 : 7
Amount of juice mixture = 375 ml
Find:
Amount of each juice
Computation:
Let common ratio = a
So,
3a + 5a + 7a = 375
15a = 375
a = 375 / 15
a = 25
Amount of orange juice = 3a
Amount of orange juice = 3(25)
Amount of orange juice = 75 ml
Amount of Pineapple juice = 5a
Amount of Pineapple juice = 5(25)
Amount of Pineapple juice = 125 ml
Amount of mix juice = 7a
Amount of mix juice = 7(25)
Amount of mix juice = 175 ml
In triangle XYZ. the measurements of angle X and angle Y are 45° Which is the longest side of the triangle
Answer:
the side XY
Step-by-step explanation:
we know 2 angles in a triangle. but are 45 degrees.
that means the third angle Z is 180-45-45 = 90 degrees.
the side opposite of the largest angle is the longest side.
opposite of Z is the side XY.
Ah what is the length of XB? I really need to learn how to solve this
Answer:
5.28
Step-by-step explanation:
we use the formula
H²=B²+P²
and we will get the answer
branliest if it is helpful
Answer:
Angle BXY
using pythogoras theory which is
hyp*2= opp*2 +adj*2
hypothenus being the longest part of the angle BX=?
Step-by-step explanation:
hyp= 4.2*2+ 3.2*2
hyp*2 =17.64 + 10.24
hyp*2 = 27.88
hyp =√27.88
hyp=5.28...Ans
note *2...square
What is the
No solution, one solution, and infinitely solutions
to the equation 2x+5+2x+3x=3x+5?
Answer:
one solution
Step-by-step explanation:
In how many ways can the 6 students with an identical twins on a round table?
Answer:
120
Step-by-step explanation:
5*4*3*2*1
Solve the following linear quadratic system of equations algebraically.
y=^2+3x-2
y+3=5x
Answer:
[tex]x=1[/tex]
[tex]y=2[/tex]
Step-by-step explanation:
[tex]y=x^2+3x-2[/tex] , [tex]y+3=5x[/tex]
Replace all occurrences of [tex]y[/tex] in [tex]y+3=5x[/tex] with [tex]x^2+3x-2.[/tex]
[tex](x^2+3x-2)+3=5x[/tex]
[tex]y=x^2+3x-2[/tex]
Add [tex]-2[/tex] and 3.
[tex]x^2+3x+1=5x[/tex]
[tex]y=x^2+3x-2[/tex]
Subtract 5x from both sides of the equation.
[tex]x^2+3x+1-5x=0[/tex]
[tex]y=x^2+3x-2[/tex]
Subtract 5x from 3x.
[tex]x^2-2x+1=0[/tex]
[tex]y=x^2+3x-2[/tex]
Rewrite 1 as [tex]1^2[/tex].
[tex]x^2-2x+1^2=0[/tex]
[tex]y=x^2+3x-2[/tex]
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
[tex]2x=2[/tex] · [tex]x[/tex] · [tex]1[/tex]
[tex]y=x^2+3x-2[/tex]
Rewrite the polynomial.
[tex]x^2-2[/tex] · [tex]x[/tex] · [tex]1[/tex] [tex]+[/tex] [tex]1^2=0[/tex]
[tex]y=x^2+3x-2[/tex]
Factor using the perfect square
trinomial rule [tex]a^2-2ab+b^2=(a-b)^2,[/tex]
where a = x and b = 1.
[tex](x-1)^2=0[/tex]
[tex]y=x^2+3x-2[/tex]
Set the [tex]x-1[/tex] equal to 0.
[tex]x-1=0[/tex]
[tex]y=x^2+3x-2[/tex]
Add 1 to both sides of the equation.
[tex]x=1[/tex]
[tex]y=x^2+3x-2[/tex]
Replace all occurrences of [tex]x[/tex] in
[tex]y=x^2+3x-2[/tex] with 1.
[tex]y=(1)^2+3(1)-2[/tex]
[tex]x=1[/tex]
[tex]y=2[/tex]
can i please get some help on this one?
Answer:
wht yr u in tis is too hard yk
Step-by-step explanation:
write two such ratios number whose multplicativen inverse is same as they are
Answer:
1 and -1 are two rational numbers whose multiplicative inverse is same as they are.
Step-by-step explanation:
mark me brainlist
What is 600000+45 yes I'm back
Answer:
600045
Step-by-step explanation:
Answer:
Hmm the answer might be 600045
Step-by-step explanation:
So what you do is that you add them up using your calculator or brain.
Two times the difference of a number and ten is forty two
Write an equation to represent the sentence:
Answer:
let the number be x
representing the equation...
it will be....
2 times (the number- 10)=42
2 times(x-10)= 42
2(x-10)=42
To the nearest square metre, calculate the curved surface area of the half pipe if it is 9m long? (With a radius of 2.5m)
Answer:
70.686 [tex]m^{2}[/tex]
Step-by-step explanation:
A=2πrh (area of cylinder without top or bottom)
A = 2[tex]\pi[/tex](2.5)(9)
A = 141.372
divide by two for half of pipe.
A = 70.686
What is the value of the expression below
(-64)^2/3
Answer:
16
Step-by-step explanation:
[tex](-64)^2/3[/tex]
64 = [tex]2^{6}[/tex]
[tex]2^{6} ^{\frac{1}{3} } ^{2}[/tex]
[tex]2^{ 2^{2} }[/tex]
[tex]2^{4}[/tex]
16
1. make r the subject of the relation. 2. Find the value of r when s=117, m = 2 and n=-3. m=r-s ÷2nr
Answer:
Hence, the required answers are (i) r= -s/(2nm-1) and r=g.
Step-by-step explanation:
solution: m= r-s/2nr
i) m= r-s/2nr 2) m(2nr) = r-s (i) s=117 ,m=2, n=-3
2) 2xnxmxr= r-s 2) r= -s/(2nm-1)
3) move the "r" on the right to the 2) r= -117/(2x(-3)x2)-16
-2nrm-r= -s
- r(r-2nm-1)= -s 2) r= (-117/-13)=)r=g
- r= -s/(2nm-1)
Hence, the required answers are (i) r= -s/(2nm-1) and r=g.
HELP ASAP PLEASE!!!!!!!
Answer:
the answer is 2
Step-by-step explanation:
it doesn't match the other but is 2
PLEASE I NEED HELP. summer school
Answer:
1. Y+2/5y
2. y-0.32y
3. Y-2/5y
4. y+0.32y
Step-by-step explanation:
Find the length of x
Answer:
x = 3
Step-by-step explanation:
Hi there!
1) Prove similarity
The two triangles are similar due to angle-angle similarity. They both have an angle measured 90 degrees and the angles of the two corners that touch are equal, because opposite angles are equal.
2) Solve for x
Now, we can set up a proportion to solve for x:
[tex]\frac{x}{4} =\frac{4.5}{6} \\x=\frac{4.5}{6} *4\\x=3[/tex]
Therefore, x is 3 units long.
I hope this helps!
if A={1,2,3} and B={a,b,c} find A×B and B×A. Also show both of them in arrow diagram. I need for exam
Answer:
the above answer help you guy.
which equation is represented by the table
Answer:
B. b = 3a + 2
Step-by-step explanation:
We can write the equation in slope-intercept form as b = ma + c, where,
m = slope/rate of change
c = y-intercept/initial value
✔️Find m using any two given pair of values, say (2, 8) and (4, 14):
Rate of change (m) = change in b/change in a
m = (14 - 8)/(4 - 2)
m = 6/2
m = 3
✔️Find c by substituting (a, b) = (2, 8) and m = 3 into b = ma + c. Thus:
8 = 3(2) + c
8 = 6 + c
8 - 6 = c
2 = c
c = 2
✔️Write the equation by substituting m = 3 and c = 2 into b = ma + c. Thus:
b = 3a + 2
Question 1 of 10 If f(x) = 5x and g(x) = x+1, find (f.g)(x).
Answer:
D
Step-by-step explanation:
(f • g)(x)
= f(x) × g(x)
= 5x³( x + 1) ← distribute parenthesis
= 5[tex]x^{4}[/tex] + 5x³ → D
If the radius of circle is 50cm then find its area?
Answer:
Area=7850 cm
Step-by-step explanation:
Since the formula for area is A=c(radius squared), we need to plug in the radius first. 50x50=2500. We can identify 'pi' as 3.14 and use that decimal instead of a longer one. The product of 2500 and 3.14 is 7850. Therefore, your answer is 7850 cm
URGENT HELP NOW PLEASE QUICKK!!!!
Answer:
(2,-2)
Step-by-step explanation:
Its just (-7+9 , 1-3)
Answer:
P' = (2,-2)
Step-by-step explanation:
P = (-7,1)
T(x,y) = (x + 9, y - 3)
(-7 + 9,1 - 3) = (2,-2)
simplify 2a+5b/4+3a+2b/8
Answer:
Step-by-step explanation:
Combine like terms
[tex]2a + \frac{5b}{4}+3a + \frac{2b}{8}=2a + 3a +\frac{5b}{4}+\frac{2b}{8}\\\\ = 2a + 3a + \frac{5b}{4}+\frac{b}{4}\\\\= 5a + \frac{5b+b}{4}\\\\= 5a +\frac{6b}{4}\\\\= 5a + \frac{3b}{2}[/tex]
Answer:
[tex]2a+5\frac{b}{4}+3a+2\frac{b}{8}[/tex]
First multiply by 8
[tex]2\cdot8a+5\cdot8\cdot\frac{b}{4}+3\cdot8\cdot a+2\frac{b}{8}\cdot8[/tex]
We multiple and divide where we can
[tex]16a+10b+24a+2b[/tex]
And now it's simple
30a+12b
Write an equation for a quadratic function in factored form with
zeros at x = -4 and x = 0 that passes through the point (-3,6).
Answer:
[tex]f(x)=-2x(x+4)[/tex]
Step-by-step explanation:
We want to find the equation of a quadratic function in factored form with zeros at x = -4 and x = 0 that passes through the point (-3, 6).
The factored form of a quadratic is given by:
[tex]f(x)=a(x-p)(x-q)[/tex]
Where p and q are the zeros and a is the leading coefficient.
Since we have zeros at x = -4 and x = 0, let p = -4 and q = 0. Substitute:
[tex]f(x)=a(x-(-4))(x-0)[/tex]
Simplify:
[tex]f(x)=ax(x+4)[/tex]
And since we know that the function passes through the point (-3, 6), f(x) = 6 when x = -3. Thus:
[tex](6)=a(-3)(-3+4)[/tex]
Simplify:
[tex]6=a(-3)(1)[/tex]
Thus:
[tex]-3a=6\Rightarrow a=-2[/tex]
So, our quadratic function is:
[tex]f(x)=-2x(x+4)[/tex]
If 1 pint is equal to 2 cups, then 5 pints would equal how many cups
If 1 pint is equal to 2 cups then 5 pints equals 10 cups
5 times 2 equals 10.
can you please help me with number 4 please?
A group of 80 frogs was observed. The mean distance of their hops is 69 inches with a standard deviation of 3.5 inches. How many frogs would you expect to jump more than 72.5 inches?
Hello,
[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈13 (frogs)
Answer:
12 frogs
Step-by-step explanation:
Hello,
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.
ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.