Answer:
-5x^6+5x^5+6x^4-6x^3Step-by-step explanation:
[tex]\left(6-5x^2\right)\left(x^4-x^3\right)\\\\\mathrm{Apply\:FOIL\:method}:\\\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=6,\:b=-5x^2,\:c=x^4,\:d=-x^3\\\\=6x^4+6\left(-x^3\right)+\left(-5x^2\right)x^4+\left(-5x^2\right)\left(-x^3\right)\\\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab\\\\=6x^4-6x^3-5x^4x^2+5x^3x^2\\\\Simplify\\\\=-5x^6+5x^5+6x^4-6x^3[/tex]
write down the coordinates of a point which lies in the second quadrant and 6 units far from both the axes
Answer:
(-6, 6)
Step-by-step explanation:
What is an example of a variable expense?
Grocery bill
Loan payment
Rent
Car payment
Answer:
Rent
Step-by-step explanation:
I think
What decimal is smaller .52 or .25
Answer:
0.25
Step-by-step explanation:
0.52 is like 2 quarters
0.25 is 1 quarter
So, 1 < 2
Have a nice day! :)
g The bursar a conducts a test of hypothesis that the mean amount of student debt a WCU undergrad will leave college with is equal to $10,000, versus the alternative that it is less than $10,000. The data leads to the rejection the null hypothesis. However, it is learned later that the mean is indeed $10,000. What type of error (if any) occurred
Answer: Type I error
Step-by-step explanation:
A type 1 error is also referred to as the false positive and it is when a true null hypothesis is incorrectly rejected by the researcher.
On the other hand, type II error which is also refered to as the false-negative is when a null hypothesis which is false is failed to be rejected by the researcher but rather accepted.
Based on the information given in the question, since the data leads to the rejection of the null hypothesis such was later found out to be true, then a type I error has occured.
URGENT - Write the standard equation of a circle with the center at (-1, -4) that passes through the point (-1, -1).
Answer: ( - 1, - 1) with center (-1, - 4). (x + 1) 2 + (y + 4) 2 = 9
Step-by-step explanation: I hope this is right :)
Plz help me I'll give brainly and 60 points .
If F(x) = log base5(2x,) find the Inverse of F(x)
A) 5^y=2x
B) 5^2y=x
C) y = (5^x)/2
Answer:
C) y = (5^x)/2
Step-by-step explanation:
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
Answer:
1/3
Step-by-step explanation:
there are 4 numbers total that are less than 3 and there are 12 sides total
so 4/12 would be the total and 1/3 would be simplified
Find the area of each figure. Round to the nearest tenth. Use 3.14 or 22/7 for pi.
a. 22 yd
b. 44 yd
c. 154 yd
d. 616 yd
Answer:
c. 154 yd²
Step-by-step explanation:
Given
Diameter (d) = 14 yd
radius (r) = 14/2 = 7 yd
Area of the circle
= π r²
= 22 /7 * 7 * 7
= 154 yd²
What is the volume of the solid if a 6 inch (diameter hole is drilled all the way
Answer:
1,467.6 cm³
Step-by-step explanation:
Volume of the solid = volume of the rectangular prism - volume of the cylinder
= L*W*H - πr²h
L = 12
W = 10
H = 16
r = ½(6) = 3
h = 16
Plug in the values
Volume of the solid = 12*10*16 - π*3²*16
= 1,920 - 452.40
= 1,467.6 cm³
What is the equation of the line that passes through the point (-4, -6) and has a
slope of – ?
Answer:
y= -x -10y=mx+b
plug in -6 for y and -4 for x and - for m
-6=-(-4)+b
solve for b
b=-10
set up equation
Answer:
y=-x-10
or
y= -(x+4) - 6
Step-by-step explanation:
Point slope form:
y-y1=m(x-x1)
y+6=-1(x+4)
y= -x - 10
-6(2y + 3) + 6 = 24.
Hi!
-6(2y + 3) + 6 = 24
-12y - 18 + 6 = 24
-12y = 24 + 18 - 6
-12y = 36 || : (-12)
y = -3
Unit 1: Geometry Basics Homework 3: Angle Relationships
Answer:
juicy no no square
Step-by-step explanation:
The value of x = z = 73 degrees and y = 107degrees
3) Geometry is a branch of mathematics that deals with the measurement of lines and angles.
From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true:
y = 107° (vertically opposite angle)The sum of z and 107 is supplementary. Hence;
z + 107 = 180z = 180 - 107z = 73degreesAlso, the sum of x and y is also supplementary. This shows that:
x + y = 180x + 107 = 180x = 180 - 107x = 73dgreesFrom the calculations, hence x = z = 73 degrees and y = 107degrees
Learn more on lines and angles here: https://brainly.com/question/19023162
Aidans rug is 7 feet long and 5 feet wide what’s the area
Answer:
35
Step-by-step explanation:
You need to multiply 7 x 5, You get 35. Hope this helps!
Is the point (3, -2) a solution to the following system of equations? How do you know?
y=−3x+7
y=2x−8
Answer:
YES
Step-by-step explanation:
Any straight line can be represented by an equation of the form
Y = mX + b
where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get
Y = -3X + 7
-2 = -3(3) + 7
-2 = -9 + 7
-2 = -2 True
AND,
Y = 2X - 8
-2 = 2(3) - 8
-2 = 6 - 8
-2 = -2 True
So since both are true, yes (3, -2) is the solution.
help with this question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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It might help to draw a triangle to represent what's going on. See the diagram below.
Let's call the triangle ABC. We'll place point A at the 90 degree angle, so it's at the base of the tower. Place point B where the knight is located. Point C is the location of the window in the tower.
The knight is 15 feet away from the base, meaning AB = 15. With respect to the reference angle (B = 60), side AB = 15 is the adjacent side. The length of the ladder BC is the unknown hypotenuse. We'll call this x for now.
We'll use the cosine rule to connect the adjacent and hypotenuse.
cos(angle) = adjacent/hypotenuse
cos(B) = AB/BC
cos(60) = 15/x
x*cos(60) = 15
x = 15/cos(60)
x = 30
Your calculator needs to be in degree mode.
Because x = 30, we conclude that the ladder needs to be BC = 30 feet long.
Side note: For any special 30-60-90 right triangle, the hypotenuse is always twice as long compared to the shorter leg.
What is the least common multiple of 3, 10, and 15?
Answer:
30
Step-by-step explanation:
30/3 = 10
30/10 = 3
30/15 = 2
Hope this helps!
The City of Irvine upgraded a bicycle lane in a section of road to have a physical barrier between the cyclists as opposed to just a painted white line on the road. They now want to do a study to see if the bicycle lane upgrades have encouraged more people to utilize the bike lane. Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25. Test the hypothesis at the 0.05 significance level.
Answer:
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Step-by-step explanation:
Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.
At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So
[tex]H_0: \mu = 350[/tex]
At the alternate hypothesis, we test if this mean increased, that is:
[tex]H_1: \mu > 350[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
350 is tested at the null hypothesis:
This means that [tex]\mu = 350[/tex]
After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.
This means that [tex]n = 35, X = 405, s = 25[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]
[tex]t = 13.02[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.
Using a t-distribution calculator, this probability is of 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Please helpppppppppppp
Answer:
Maximum: 10
Minimum: 2
Q1: 3.5
Q2: 6
Q3: 8.5
Range: 8
Step-by-step explanation:
hope this helps and is right. p.s i really need brainliest :)
Answer for branliest
Answer:
1/3
Step-by-step explanation:
P(5) Represents the probability that the spinner will land on 5 after being spun once. Since 5 is one of three options on the wheel, the probability is 1/3
big help someone clutch up for me.TIMED!!
Answer:
B. 5
Step-by-step explanation:
Given expression;
n(n - x) = 25
From the given expression, x = 0
Substitute the value of x into the given equation and solve for n;
n(n - 0) = 25
this equation reduces to;
n(n) = 25
simplifying further to obtain the value of n;
n² = 25
n = √25
n = 5
Therefore, the correct option is B.
A rectangular barn door needs to be painted. The door is 81 inches high and
50 inches wide. What is the area of the front of the door?
А
8,100 square inches
B
1,620 square inches
524 square inches
D 4,050 square inches
CAN SOMEONE PLEASE HELP ME?? ASAP!!
Answer:
16. 0.57735
17. −0.707107
18. 0.5
19. 0.5
20. 2.61799387
21. 1.15470053
You have 90.43 in your bank account and you make a deposite. Your account will:
Answer:
be adding more money
Step-by-step explanation:
deposit means to add withdraw means to take out
Answer:
increase
Step-by-step explanation:
The product of two positive integer numbers is 40 and the sum of the same two numbers is 13.
9514 1404 393
Answer:
5 and 8
Step-by-step explanation:
Factor pairs that make 40 are ...
40 = 1×40 = 2×20 = 4×10 = 5×8
The pair that has a sum of 13 is 5 and 8.
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 40%. With H1 : p > 40% you obtain a test statistic of z = 1.574. Find the p-value accurate to 4 decimal places.
Answer:
The p-value is 0.0577.
Step-by-step explanation:
The alternate hypothesis is:
[tex]H_1: p > 40\%[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion above the one found, which is 1 subtracted by the p-value of z.
We have that z = 1.574.
Looking at the z-table, z = 1.574 has a p-value of 0.9423
1 - 0.9423 = 0.0577
The p-value is 0.0577.
how do you change a fraction to a unit rate
Answer:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Step-by-step explanation:
The width of a rectangle measures (9h – 1) centimeters, and its length measures
(2h - 4) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
Answer:
Step-by-step explanation:
(3)
8.
The normal price of a denim shirt at a shop is £9.60
On Special Offer Day, there is 1/3 off the normal price.
Billy has £13
Has he enough money to buy two denim shirts on
Special Offer Day? You must show all your working.
Special Offer Day
1
off normal prices
Answer:
Yes, Billy will have enough money to buy two denim shirts.
Step-by-step explanation:
£9.60 × (1/3)
= £3.20
On the special offer day, a denim shirt will cost £3.20.
£3.20×2 = £6.40
Two shirts will cost £6.40
Billy has £13, which will be enough for him to buy two shirts and will have a remaining balance of £6.60
Which expression is equivalent to 4 (3n - 5)?
On - 20
7-9
12n - 5
12n - 20
Done -
BRAINLIEST
PLEASE HELP
SHOW WORK
10PTSSS
Which graph shows a proportional relationship between the number of hours of renting a costume and the total amount spent to rent the costume?
hmmmmmmm
the second one