Answer:
2/4 is answer
Step-by-step explanation:
got it for u
if p and q vary inversely and p is 4 when q is 15, determine q when p is equal to 30
The value of q when q varies inversely with p is 2.
What is the value of q?The formula that can be used to represent inverse variation is:
p = k/q
Where:
p = dependent variable q = independent variable k = constant of proportionalityThe first step is to determine the value of the constant of proportionality
k = p x q
k = 15 x 4 = 60
Given the value of the constant of proportionality, the value of q can now be determined.
30 = 60/q
q = 60 / 30
q = 2
To learn more about inverse proportion, please check: https://brainly.com/question/25748643
45. You deposit $6000 into an account that earns 3.8% interest compounded annually.
Find the balance of the account after 7 years.
Answer: 7596
Step-by-step explanation:
3.8%x7=26.6%
6000x26.6%=1596
6000+1596=7596
Sonia sells stuffed animals, She sells a stuffed dog for $25.10, and the sales tax is 4% of the sale price. About
how much is the sales tax on the dog?
A. $0.10
B. $1.80
C. $2.25
D. $1.00
Answer:
$1.004 so rounded it would be Answer D ($1.00)
Step-by-step explanation:
You multiply $25.10 by the decimal form of 4 percent, which gives you the tax.
25.10(.04)=1.004
1.004 is the tax, but with the way currency work, cents do not go to the thousandths place , so you round it to $1.00.
Incase you woudl also like to know, if you add that 1 dollar to the original price you get teh total price. which woudl be $26.10.
During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $4. There is a state sales tax of 3.5%, and the $4 discount is applied before the sales tax is calculated.
A. Write an expression that shows the regular price r of a T-shirt minus the $4 discount.
B. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.
C. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?
I will mark the first correct answer Brainliest!
Answer:
$4.00+0.035+$4.00=8.035=$8.35
Step-by-step explanation:
Group like term’s please hurry.
Answer:
Step-by-step [tex]5x-4x =x \\4x^{2} -x^{2}=3x^{2} \\-24+11=-13\\3x^{2} +x-13[/tex]
Answer:
x^5 + 151x -264
Step-by-step explanation:
See the attached page.
Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Answer:
One possible equation is [tex]f(x) = (x + 3)\, (x - 5)[/tex], which is equivalent to [tex]f(x) = x^{2} - 2\, x - 15[/tex].
Step-by-step explanation:
The factor theorem states that if [tex]x = x_{0}[/tex] (where [tex]x_{0}[/tex] is a constant) is a root of a function, [tex](x - x_{0})[/tex] would be a factor of that function.
The question states that [tex](-3,\, 0)[/tex] and [tex](5,\, 0)[/tex] are [tex]x[/tex]-intercepts of this function. In other words, [tex]x = -3[/tex] and [tex]x = 5[/tex] would both set the value of this quadratic function to [tex]0[/tex]. Thus, [tex]x = -3\![/tex] and [tex]x = 5\![/tex] would be two roots of this function.
By the factor theorem, [tex](x - (-3))[/tex] and [tex](x - 5)[/tex] would be two factors of this function.
Because the function in this question is quadratic, [tex](x - (-3))[/tex] and [tex](x - 5)[/tex] would be the only two factors of this function. In other words, for some constant [tex]a[/tex] ([tex]a \ne 0[/tex]):
[tex]f(x) = a\, (x - (-3))\, (x - 5)[/tex].
Simplify to obtain:
[tex]f(x) = a\, (x + 3)\, (x - 5)[/tex].
Expand this expression to obtain:
[tex]f(x) = a\, (x^{2} - 2\, x - 15)[/tex].
(Quadratic functions are polynomials of degree two. If this function has any factor other than [tex](x - (-3))[/tex] and [tex](x - 5)[/tex], expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of [tex]a[/tex] corresponds to a distinct quadratic function with [tex]x[/tex]-intercepts [tex](-3,\, 0)[/tex] and [tex](5,\, 0)[/tex]. For example, with [tex]a = 1[/tex]:
[tex]f(x) = (x + 3)\, (x - 5)[/tex], or equivalently,
[tex]f(x) = x^{2} - 2\, x - 15[/tex].
Use the point-slope formula to write an equation of the line that passes through (-4, 4) and has a slope of m=0. Write the answer in slope-intercept form (if
possible)
Answer:
y = 4
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (-4,4)
y - y1 = m (x - x1)
y - 4 = 0 (x - 1)
y - 4 = 0x + 0
+ 4 + 4
y = 4
The answer can't be written in slope-intercept form, as the 0"s cancel out.
Hope this helps!
If anyone can answer all these thanks
1. 4x+3=23
2. 24x - 18=30
3.160+10n=220
4.51=30+3n
5.6y+85=157
1) x = 5
2) x = 2
3) n = 6
4) n = 7
5) y = 12
Step-by-step explanation:-1)[tex]4x+3=23[/tex]
→[tex]4x = 23 - 3[/tex]
→[tex]4x = 20[/tex]
→[tex]x = \frac{20}{4} [/tex]
→[tex]x = 5[/tex]
Hence, value of x is 5
2)[tex]24x - 18=30[/tex]
=>[tex]24x = 30 + 18[/tex]
=>[tex]24x = 48[/tex]
=>[tex]x = \frac{48}{24} [/tex]
=>[tex]x = 2[/tex]
Hence, value of x is 2
3)[tex]160+10n=220[/tex]
[tex]→10n = 220 - 160[/tex]
[tex]→10n =60[/tex]
[tex]→n = \frac{60}{10} [/tex]
[tex]→n = 6[/tex]
Hence, value of n is 6
4)[tex]51=30+3n[/tex]
[tex]→51 - 30 = 3n[/tex]
[tex]→21 = 3n[/tex]
[tex]→\frac{21}{3} = n[/tex]
[tex]→n = 7[/tex]
Hence, the value of n is 7
5)[tex]6y + 85=157[/tex]
[tex]→6y = 157 - 85[/tex]
[tex]→6y = 72[/tex]
[tex]→y = \frac{72}{6} [/tex]
[tex]→y = 12[/tex]
Hence, value of y is 12
Find the missing dimension of the triangle. Area is 5cm squared and the base is 4cm. what is the height.
Answer:
2.5 cm
Step-by-step explanation:
Put the given values into the area formula, and solve for height.
A = 1/2bh
5 cm² = 1/2(4 cm)h . . . . . . . . . . . . . fill in the values
(5 cm²)/(2 cm) = h = 2.5 cm . . . . . divide by the coefficient of h
The height is 2.5 cm.
find the triangular number in the nth position if n is. a)22 (b)11 (c)31 (d)40
Answer:
Shown below.Explanation:
use the formula: n(n+1)/2
where n is the number of nth position
(a)
n(n+1)/2
22(22+1)/2
253
(b)
11(11+1)/2
66
(c)
n(n+1)/2
31(31+1)/2
496
(d)
n(n+1)/2
40(40+1)/2
820
Answer:
a) 253
b) 66
c) 496
d) 820
Step-by-step explanation:
Triangular numbers : pattern of numbers that form equilateral triangles. Each subsequent number in the sequence adds a new row of dots to the triangle.
nth triangular number formula: [tex]T_n=\dfrac{n(n+1)}{2}[/tex]
a) if n = 22
[tex]T_{22}=\dfrac{22(22+1)}{2}=253[/tex]
b) if n = 11
[tex]T_{11}=\dfrac{11(11+1)}{2}=66[/tex]
c) if n = 31
[tex]T_{31}=\dfrac{31(31+1)}{2}=496[/tex]
d) if n = 40
[tex]T_{40}=\dfrac{40(40+1)}{2}=820[/tex]
Guys help I literally don’t know how to do this
Answer:
Ok, so to find the volume of a sphere, the volume is 4/3 (3.14 which is pie) times the radius cubed so r^3
so the radius of this sphere is 2 because 4-2=2
Step-by-step explanation:
so now we do 4/3 times 3.14 times 2^3 power=
now first we multiply 4/3 times 2 to the 3rd power bc we dont need to multiply pie (3.14) your answer would be 10.66667 so its 10.66667 pie (3.14) so round 10.66667 it would just be 10.7 because the 7 round up the 6 to a 7. Hope this helps!
what are the values of x and y in the figure shown? show your work
Answer:
x = 5 , y = 2
Step-by-step explanation:
3y + 4y + 2x = 24
(3y)² + (4y)² = (2x)²
2x + 7y = 24 .............. (1)
25y² = 4x² ................ (2)
x = [tex]\frac{5}{2}[/tex] y ------> (1)
2 ( [tex]\frac{5}{2}[/tex] y ) + 7y = 24
12y = 24
y = 2 ----------> (1)
x = 5
PLEASE HELPPP. I’ve been stuck on this for so long
Answer:
D. 2.5
I hope it's help.......
WILL MARK BRAINLIST
Find 24% of 450.
Answer:
108
Step-by-step explanation:
450*0.24
Solve equation by using the quadratic formula.
9 x squared + 7 x = 0
a.
x = StartFraction 7 Over 9 EndFraction, 0
c.
x = 0
b.
x = negative StartFraction 7 Over 9 EndFraction, 0
d.
x = plus-or-minus StartFraction 7 Over 9 EndFraction
Answer: 1: x=3, x=1
2: x= -5
3: There are 2 real solutions.
4: There are 2 real solutions.
5: There are no real solutions.
6. There is 1 real solution.
7.
8. x= -6, x = -2
9. x = -1/6, x=1
10.
Explanation:
1. The quadratic formula is
Substituting our known information we have:
2. Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:
3. The discriminant is b²-4ac. For this problem, that is 20²-4(-4)(25)=400--400=800. Since this is greater than 0, there are 2 real solutions.
4. The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169. This is greater than 0, so there are 2 real solutions.
5. The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223. Since this is less than 0, there are no real solutions.
6. If the discriminant of a quadratic is 0, then by definition there is 1 real solution.
7. Rewriting the quadratic we have 3x²-4x-2=0. Using the quadratic formula we have:
8. Factoring this trinomial we want factors of 12 that sum to 8. 6*2 = 12 and 6+2=8, so those are our factors. This gives us:
(x+6)(x+2)=0
Using the zero product property we know that either x+6=0 or x+2=0. Solving these equations we get x= -6 or x= -2.
9. Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5. (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:
6x²-6x+1x-1=0
We group together the first two and the last two terms:
(6x²-6x)+(1x-1)=0
Factor the GCF out of each group. In the first group, that is 6x:
6x(x-1)+(1x-1)=0
In the second group, the GCF is 1:
6x(x-1)+1(x-1)=0
Both terms have a factor of (x-1), so we can factor it out:
(x-1)(6x+1)=0
Using the zero product property, we know either x-1=0 or 6x+1=0. Solving these equations we get x=1 or x=-1/6.
10. Substituting our information into the quadratic formula we get:
Step-by-step explanation:
60 POINTS PLEASEEEEEEEEEEE
Answer:
It is B. (0,1)
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
a
the definite integral is how obtain and the symbol of integral
Answer:
Symbol for definite integralThe ∫ symbol is called an integral sign; it's an elongated letter S, standing for sum. (The ∫ is actually the Σ from the Riemann sum, written in Roman letters instead of Greek letters.) The dx on the end must be included; you can think of∫ and dx as left and right parentheses.
Identify the initial amount a and the growth factor b in the exponential function.
g(x)=14 x 2^x
a=14, b=x
a=14, b=2
a=28, b=1
a=28, b=x
Answer:
a = 14, b = 2
Step-by-step explanation:
the initial amount was 14
the growth factor is 2
I do not understand this can y’all help me
n=3
Step-by-step explanation:
24=3n-15
9=3n
3=n
Answer:
n = 13
Step-by-step explanation:
24 = 3(n - 5)
divide each side by 3
8 = n - 5
add 5 to each side
13 = n
check your work
24 = 3(13 - 5)
24 = 3(8)
24 = 24
There are 30 students in Mrs. Bristow‘s class. 20% of the students receive a gold ticket on the last quiz. How many students receive a golden ticket?
Answer:
6
Step-by-step explanation:
20% of 30 is 6. You can figure this out because 100 divided by 20 is 5, so you do 30 divided by 5, which is 6
2 2/3 x 3 3/8=?
Please help me
Answer:
Step-by-step explanation:
2 2/3 = 8/3
3 3/8 = 27/8
8/3 * 27/8 = 216/24
= 9
9. Rewrite in order from least to greatest. 13%, 16/100 01/5, 0.15, 1/10
Answer:
1/10, 13%, 0.15, 16/100, 1/5
Step-by-step explanation:
Given the following question:
13%, 16/100, 1/5, 0.15, and 1/10
In order to find the answer to this question we can rewrite all the following fractions/percent into decimals and then compare.
[tex]\frac{16}{100} =16\div100=0.16[/tex]
[tex]\frac{1}{5} =1\div5=0.2[/tex]
[tex]\frac{1}{10} =1\div10=0.1[/tex]
[tex]13=0.13[/tex]
0.13, 0.16, 0.15, 0.2, and 0.1
0.1, 0.13, 0.15, 0.16, 0.2
1/10, 13%, 0.15, 16/100, 1/5
Hope this helps.
Find the volume of a prism whose area of base is 15 cm2 and hight is 10 cm
Answer:
Step-by-step explanation:
V = Bh
V = 15(10)
V = 150 cm3
€1 = £0.88. Change €470 into £.
[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]
Given:.
€1 = £0.88Steps :
470 × 0.88
£413.6
Solve simultaneously please
Answer:
x = 1; y = 5/4
Step-by-step explanation:
7/x - 5/y = 3
2/x + 25/(2y) = 12
The LCD of first equation is xy. Multiply both sides of the first equation by xy.
xy(7/x) - xy(5/y) = 3xy
7y - 5x = 3xy
The LCD of second equation is 2xy. Multiply both sides of the second equation by 2xy.
2xy(2/x) + 2xy(25/2y) = 24xy
4y + 25x = 24xy
7y - 5x = 3xy
4y + 25x = 24xy
Multiply the top equation by -8 and add to bottom equation.
-56y + 40x = -24xy
(+) 4y + 25x = 24xy
---------------------------------
-52y + 65x = 0
65x = 52y
x = 52y/65
7y - 5x = 3xy
7y - 5(52y/65) = 3(52y/65)y
455y - 260y = 156y²
156y² - 195y = 0
4y² - 5y = 0
y(4y - 5) = 0
y = 0 or 4y = 5
y = 0 or y = 5/4
7/x - 5/y = 3
y cannot equal zero.
7/x - 5/y = 3
7/x - 5/(5/4) = 3
7/x - 4 = 3
7/x = 7
x = 1
Solution: x = 1; y = 5/4
Please Help quick This is Algebra Thank you!
Select the sequences that are geometric. 18, 36, 54, 72, … 4. 1, 8. 2, 16. 4, 32. 8, … –7, 14, –28, 56, … 980, 784, 627. 2, 501. 76, … 5, 2, –1, –4, ….
Answer:
18, 36, 54, 72
Step-by-step explanation:
As that sequence is common in the table of 18.
A.T.Q
18 x 1 = 18
18 x 2 = 36
18 x 3 = 54
18 x 4 = 72
Correct me, if I am wrong :)
Have a great day!
Thanks!
Write the expression using exponents 5.2 • y • y • y =
Answer:
5.2y^3
Step-by-step explanation:
There are 3 y's which can be presented as y^3
5.2 times y^3 = 5.2y^3
( By the way, " ^ " is a square root sign )
Factor out a -5 of 2x-5
Answer:
2
a
x
−
5
a
−
10
x
+
25
Step-by-step explanation:
Write .7 as a fraction.
0.7 as a fraction:
[tex]\frac{7}{10}[/tex][tex]\frac{70}{100}[/tex][tex]\frac{700}{1000}[/tex]