Answer:
A) $4,905 B) $5,310
Step-by-step explanation:
To get the answer, just simply add the amount by the percentage.
4,500 + 9% = A
For 2 years, just do 9 x 2 = 18 because it's 2 years
4,500 + 18% = B
please show the steps
Answer:
x = -3, 0, or 7
Step-by-step explanation:
After removing common factors, the remaining quadratic can be factored by comparison to the factored form of a quadratic.
__
Step 1Write the equation in standard form.
4x³ -16x² -84x = 0
Step 2Factor out the common factor from all terms.
= 4x(x² -4x -21) = 0
Step 3Compare to the factored form of a quadratic:
(x +a)(x +b) = x² +(a+b)x +ab
This tells you the constants 'a' and 'b' in the factors can be found by considering ...
(a+b) = -4 . . . . the coefficient of the x term of the quadratic
ab = -21 . . . . . the constant term of the quadratic
It is often helpful to list factor pairs of the constant:
-21 = (-21)(1) = (-7)(3) . . . . integer pairs that have a negative sum
The sums of these pairs are -20 and -4. We are interested in the latter. We can choose ...
a = -7, b = 3
Step 4Put it all together.
4x³ -16x² -84 = (4x)(x -7)(x +3) = 0 . . . . . factored form of the equation
Step 5Apply the zero product rule. This rule tells you the product of factors will be zero when one or more of the factors is zero:
4x = 0 ⇒ x = 0
x -7 = 0 ⇒ x = 7
x +3 = 0 ⇒ x = -3
Solutions to the equation are x ∈ {-3, 0, 7}.
_____
Additional comment
What we did in Step 3 is sometimes referred to as the X-method of factoring a quadratic. The constant (ab product) is put at the top of the X, and the sum (a+b) is put at the bottom. The sides of the X are filled in with values that match the product and sum: -7 and 3. The method is modified slightly if the coefficient of x² is not 1.
A graphing calculator often provides a quick and easy method of finding the real zeros of a polynomial.
Hi guys !
Find the missing angle in the given figure .
All the best *
Answer:
third angle: 50°
Explanation:The interior angles of a triangle sum ups to 180°.
Here given two angles: 95°, 35°, x - Let the missing angle be x
When they sum up, they equal to 180:
x + 35 + 95 = 180
x + 130 = 180
x = 180 - 130
x = 50
Given two angles are 35° and 95°
Let the unknown angle be "x"
We know that sum of angles of a triangle is 180°
Therefore,
[tex]\sf{35°+95° + x = 180°}[/tex]
[tex]\sf{130° + x = 180°}[/tex]
[tex]\sf{x = 180°-130°}[/tex]
[tex]\sf{x = 50°}[/tex]
Hence, the missing angle is 50°.
Five more than a number p is less than 17.
Answer:
2x-15
Step-by-step explanation:
Found it on a Phrase translator to equations.
You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.
H
o
:
μ
=
57.7
H
a
:
μ
≠
57.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
286
with mean
M
=
59.6
and a standard deviation of
S
D
=
7.7
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = 4.17.The p-value is of 0.0004.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 57.7, that is:
[tex]H_0: \mu = 57.7[/tex]
At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:
[tex]H_a: \mu \neq 57.7[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]
t = 4.17.
What is the p-value?We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.
More can be learned about the t-distribution at https://brainly.com/question/16162795
#SPJ1
A particular candle gives out 4 lumens more light than the average. The standard deviation is 3 lumens. What
percentage of candles give out more light than this one?
Please see attached question 3 of 25
Answer:
2(3x+4)
Step-by-step explanation:
Since the 2 is outside of the parenthesis, it means that everything inside of the parenthesis is multiplied by 2
2 x 3x = 6x
2 x 4 = 8
There is a + between 3x and 4, which means that, when simplified, 2(3x +4) = 6x + 8
Option 2(3x + 4 ) is correct.
Step-by-step explanation:
We have equation 6x + 8 .if we take 2 as common, then we will get 3 x and 4 .As we know 2×3= 6 and 2×4 = 8 .=> 2 ( 3x + 4 ) = 6x + 4 .
km2 − m Please answer!!!!!
Step-by-step explanation:
1km=1000m
2km=2×1000m
2km=2000m
30% tip on a bill of $150.47
Answer:
45.141 or if you round 45.14
Step-by-step explanation:
150.47 x 0.30 = 45.141
A cube has edge length of 12 in. Find its volume.
Answer:
1728 units^3
Step-by-step explanation:
The volume of a cube is given by the formula: a^3, where a is edge length.
a^3
(12)^3
1728
Hellppppppppppllpppp
Answer:
180 in^2
Step-by-step explanation:
S=(1/2)lP + B
B = 10x10 = 100
P = 10(4) = 40
l is 4, but you could also use the fact that each triangular side is A=(1/2)bh.
(1/2)4 x 10 = 20
20(4) = 80
add 100 + 80 = 180
NO LINKS!!
VWXYZ ~ IJKGH. Find HI, GK, AND JK.
Answer:
HI = 35
GK = 45
JK = 25
Provided:
VWXYZ ≅ IJKGHGiven proportional sides:
GH = 30, YZ = 36Find the scale factor:
30/36 = 5/6Find missing sides:
1) HI = ZV × 5/6 = 42 × 5/6 = 35
2) GK = XY × 5/6 = 54 × 5/6 = 45
3) JK = WX × 5/6 = 30 × 5/6 = 25
Answer:
HI = 35
GK = 45
JK = 25
Step-by-step explanation:
If VWXYZ ~ IJKGH
Then:
VW ~ IJ WX ~ JKXY ~ KGYZ ~ GHZV ~ HIYZ and GH is the only pair of corresponding sides for which we have been given the lengths:
YZ = 36 and GH = 30
Therefore,
VWXYZ : IJKGH = 36 : 30 = 6 : 5
Find HI
ZV : HI = 6 : 5
⇒ 42 : HI = 6 : 5
⇒ 42/HI = 6/5
⇒ 42 · 5 = 6 HI
⇒ HI = 210/6
⇒ HI = 35
Find GK
YX : GK = 6 : 5
⇒ 54 : GK = 6 : 5
⇒ 54/GK = 6/5
⇒ 54 · 5 = 6 GK
⇒ GK = 270/6
⇒ GK = 45
Find JK
WX : JK = 6 : 5
⇒ 30 : JK = 6 : 5
⇒ 30 /JK = 6/5
⇒ 30 · 5 = 6 JK
⇒ JK = 150/6
⇒ JK = 25
A Student was conducting as to determine how many house g apples could be packed in al bay Size at the local farmers. The average gala apples had a Of 3.5 inches. Given the farmer's market wanted to use a box that had the dimensions 16 in x 9in x 9in how many apples should fit based on the information provided by the table. (a) 30 (b) 35 (c)40 (d)
20in × 13in ×12in= 72 apples
12in × 12in × 12in= 40 apples
20in × 10in × 6in= 28 apples
Answer:
43.1
Step-by-step explanation:
1728/40 = 43.2
3120/72 = 43.3
How many solutions does this system have?
x-3y=4
-2x+6y=3
O one
O two
O an infinite number
Ono solution
Answer:
two solutions B
Step-by-step explanation:
x-3y=4
-2x+6y=3
binomial distribution
Answer:
Using the binomial distribution, it is found that
P(X > 3) = 0.0256
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability.
[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]
[tex]C_{n, x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n, x} = \frac{n!}{p!(n - x)!}[/tex]
Binomial distribution:In this question, we have that n = 4, p = 0.4The desired probability is:P(X > 3) = P(X = 4) since it above next whole number above 3
In which
[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]
[tex]P(X = 4) = C_{4, 4} * (0.4)^{4} (1 - 0.4)^{4 - 4}\\C_{4, 4} = \frac{4!}{4!(4 - 4)!}\\\\P(X = 4) = \frac{4!}{4!(0)!} * (0.4)^{4} (0.6)^{0}\\[/tex]
Then
P(X > 3) = P(X = 4)
P(X > 3) = 0.0256
--------------
Given, n = 4, p = 0.4
in your calculator:press 2nd - DISTR
scroll down to A: binompdf( - press enter
type in # of trials (n), P: (probability), and x value (successes)
press enter on Paste
press enter again
excel/sheets:BINOMDIST(num_successes, num_trials, prob_success, cumulative)
=BINOMDIST(4, 4, 0.4, FALSE
A similar problem is given at brainly.com/question/15557838
I have also attached notes on The Binomial Distribution below
Let me know if you have any questions !
Hope this helps :)
50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half
Answer: 2
Step-by-step explanation:
See attached image
What is the area of triangle TUV?
Answer:[tex]5.25cm^2[/tex]
Step-by-step explanation:
The equation of finding the area of a triangle is 1/2 base x height so the base is 7 and the height is 1.5. The slant of the triangle doesn't change the area and those measurements are just there to confuse you. so just input the measurements to get:
1/2 x 7 x 1.5 = 3.5 x 1.5 = 5.25cm^2
The area = [tex]5.25 cm^2[/tex]
Find p write your answer in simplest radical form
Answer:
[tex]p =[/tex] [tex]7\sqrt{2}[/tex]
Step-by-step explanation:
The side length ratio for a 45-45-90 angle triangle is [tex]1:1:\sqrt{2}[/tex]
The length of the bottom adjacent side of the 90-degree angle is 7, so p would be [tex]7\sqrt{2}[/tex]
Evaluate the following expression when t=5 when t^2-2t-2
Answer:
13Step-by-step explanation:
Evaluate the following expression when
t=5 when t^2-2t-2
replace t with 5 and remember PEMDAS
5² - 2 * 5 - 2 =
25 - 10 - 2 =
13
Answer:
when t=5
5² - 2×5 -2 = 13
hope it's right
Jonah bought 4 boxes of donuts that each contained 12 donuts. When he gets to work, he will serve the donuts on 5 plates. If he puts the same number of donuts on each plate, what is the greatest number of donuts he could put on each plate?
What are the answers to these 3 problem 3 is how tall the tree was before it was broken
The percent of voters between the ages of 18 and 29 that participated in each United States presidential election between the years 1988 to 2016 are shown in the table.
The function P gives the percent of voters between 18 and 29 years old that participated in the election in year t.
Pick two different values of t so that the function has a negative average rate of change between the two values. Determine the average rate of change.
Answer:
1.75
Step-by-step explanation:
Finding average rate of change :
A(x) = 42.7 - 35.7 / 1992- 1988A(x) = 7/4A(x) = 1.75The average rate of change for P between 1992 and 2000 is -1.025.
What is Average rate of change?The average rate at which one quantity changes in relation to another is known as the average rate of change function.
It can be determined by dividing the amount of one quantity's change by the amount of another quantity's change.
Average rate of change for a function 'f' in the interval [a, b] is,
A = f(b) - f(a) / (b-a)
So, the Average rate of change
= P(2000) - P(1992) / (2000 - 1992)
= (34.5 - 42.7) /(2000 - 1992)
= -8.2 / 8
= -1.025
learn more on Average rate of change here:
brainly.com/question/28744270
#SPJ2
The bottom of a circular swimming pool with a diameter of 40feet is made up of blue tiles . How many square feet is that
Answer:
radius = 40 / 2 = 20ft
Circle area = πr² = π × 20² = 1256.6 sq. ft
Which of the following sets of whole numbers represents all the odd three-digit numbers that have a 4 in the hundreds place and a 7 in the tens place?
741; 743; 745; 747; 749
470; 472; 474; 476; 478
740; 742; 744; 746; 748
471; 473; 475; 477; 479
Answer:
D) 471, 473, 475, 477, 479
Step-by-step explanation:
Lets say the three-digit number is ABC.
4 in the hundreds place, thus A = 4
7 in the tens place, thus B = 7.
The number is odd, therefore C = {1, 3, 5, 7, 9}
There are five possible solutions for three-digit number ABC = {471, 473, 475, 477, 479}
Can someone help me with this?
Answer:
B
Step-by-step explanation:
4x4= 8
10x10= 20
8+20= 28
5x2= 10
9x2= 18
10+18= 28
Answer:
[tex]4x + 10y = 28 \\ 5x + 9y = 28 \\ 10y = 28 - 4x \\ y = \frac{28 - 4x}{10} \\ y = 2.8 - 0.4x \\ 5x + 9(2.8 - 0.4x) = 28 \\ 25.2 - 3.6x + 5x = 28 \\ 1.4x = 2.8 \\ x = 2 \\ [/tex]
[tex]y = 2.8 - 0.4 \times 2 \\ y = 2[/tex]
B
Two angles are complementary. One angle measures (x+15) degrees and the other angle measures 40 degrees solve for x
Answer:
x = 35
Step-by-step explanation:
Complementary angles refers to a pair of angles which add up to make a 90° right angle.
Lets assume them as Angle A And Angle B.
Angles A = 40°
Angles B = x+15
Angle A + Angle B = 90°
40+15+x = 90°
x = 90 - 55
x = 35°
So, x = 35°
Fill in the missing number.
__% of 80 = 60
Answer:
it would be 75% :))
Answer:
75% of 80 = 60
Step-by-step explanation:
60/80 x 100
= 6/8
= 3/4
=75% of 100!
And that's how you find out the percentage.
(x - 2)² + (y +13)2 = 150
Center:
Radius:
Answer:
See below
Step-by-step explanation:
Standard form of h,k centered circle
(x-h)^2 + (y-k)^2 = r^2
for this circle center, h,k = 2,-13 radius = sqrt (150)= 5 sqrt 6
Answer:
Center: (2,-13)
Radius: 12.14744871
Step-by-step explanation:
Sorry it is hard to read, I’m using an iPhone 6 lol
Giving brainliest
Answer:
Domain: [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex]
Range: [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex]
Step-by-step explanation:
Factor the numerator and denominator
[tex]\displaystyle f(x)=\frac{x-6}{x^2-3x-18}\\ \\f(x)=\frac{x-6}{(x-6)(x+3)}\\\\f(x)=\frac{1}{x+3}[/tex]
Because the factor [tex]x-6[/tex] exists in both the numerator and denominator, then there is a hole at [tex]x=6[/tex] because the function is not continuous there. Additionally, because the denominator cannot be 0, [tex]x\neq-3[/tex], and there will be a vertical asymptote at the line [tex]x=-3[/tex].
Thus, the domain of the function is [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex].
Also, notice that because [tex]x\neq6[/tex], as the function gets closer to [tex]x=6[/tex], the function gets closer to [tex]\displaystyle f(6)=\frac{1}{6+3}=\frac{1}{9}[/tex], so [tex]\displaystyle y=\frac{1}{9}[/tex] is not included in the range.
Thus, the range is [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex].
Factor and write the x-intercepts 6x^2-5x-21 PLEASE HELP I NEED ANSWER
Answer:
Your answer is in the picture.
Step-by-step explanation:
Visit the website if you want to factor polynomial.
What is the equation of the line that has a slope of
-3 and goes through the point (1, -2)?
Answer:
Step-by-step explanation:
y + 2 = -3(x - 1)
y + 2 = -3x + 3
y = -3x + 1
