Determine the interval(s)
on which the given function is-decreasing.
A function assigns the values. The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The interval for which the given function will be decreasing is from point A to point B, and then from point C to point D. Therefore, the interval will be (-∞, -1) and (0,∞). Hence, The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).
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What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
“Seven subtracted from the product of a number and -8 is 1”
Answer:
Below
Step-by-step explanation:
( x * (-8) ) - 7 = 1
- 8x = 8
x = -1
Answer:
the unknown number is -1
Step-by-step explanation:
-8x-7=1
+7. +7
-8x=8
/-8. /-8
x= -1
hopes this helps please mark brainliest
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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The area of the triangle below is 38.28 square meters. What is the length of the base?
Answer:
8.8 m
Step-by-step explanation:
Area of triangle = \(\frac{1}{2} bh\)
38.28 = \(\frac{1}{2}\) * b * 8.7
b = 38.28 * 2 / 8.7
b = 8.8 m
A 5cm^3 holds 936 grains of rice. How many grains of rice would fit in one Dutchtown elementary school classroom with the dimensions 16cm x 12cm x 22 cm?
Explanation:
The question wants us to find the quantity of rice grain the classroom will hold when the dimension of the classroom is 16cm x 12cm x 22 cm
To resolve the question, we will first have to find the capacity of the new volume
\(\text{volume}=\text{length}\times breadth\times height=16\times12\times22=4224cm^3\)So, we can now rephrase the question as:
If a 5 cm cube holds 936 grains of rice, how many grains of rice will a 4224 cm cube hold
To do so, we have
Making x, the subject by cross multiplying as shown above
We will have the answer to be:
\(790732.8\text{ grains of rice}\)Find the remaining side of a 45° – 45° – 90° triangle if the shorter sides are 2/3 each .
Answer:
The length of the longer side is 2√2/3
Step-by-step explanation:
A 45-45-90 triangle is a right-angled triangle.
In fact, since it has two angles equal, it is a right angled isosceles triangle. What we are saying is that two of its sides are equal.
Hence, we have two short sides which are the opposite and the adjacent and a longer side which is the hypotenuse
Thus, to find the length of the longer side, we employ Pythagoras’ theorem and it states that the square of the hypotenuse equals the sum of the squares of the two other sides;
Mathematically, let’s call the longer side x
so x^2 = (2/3)^2 + (2/3)^2
x^2 = 4/9 + 4/9
x^2 = 8/9
x = √(8/9)
x = 2√2/3
an airlane is on heading of 075 degree at 250 km/h wind is blowing from 300 Determine the resultan velocity of the airplane using cartesian vectors and state the ground speed and bearing of the resultant
The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).
How to solve for the airplane's groundspeed
To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.
Let's denote:
Vp = airplane's speed = 250 km/h
θp = airplane's heading = 075 degrees
Vw = wind's speed = 85 km/h
θw = wind's heading = 300 degrees
We can then find the eastward (x) and northward (y) components of the velocities:
For the airplane:
Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h
Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h
For the wind:
Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h
Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h
We then sum the x and y components of the two velocities to find the resultant velocity components:
Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h
Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h
The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:
Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h
The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:
θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees
Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).
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Find the sum of the given integers. 7 + (-8) + 2 + (-1) =
Answer:
0
Step-by-step explanation:
7 + (-8) + 2 + (-1)
is the same as:
7 - 8 + 2 - 1
Simplify these:
-1 + 1
Solve:
0
distribute this: 3(9x+2)
have a lovely day my fellow earthlings <3
Answer:
27x + 6Step-by-step explanation:
Distributive property of multiplication:
a(b + c) = ab + acApply to the given expression:
3(9x+2) =3(9x) + 3(2) =27x + 6Answer:
27x+6
Step-by-step explanation:
(22 POINTS)
A. g(-23) = 20
B. g(7) = -1
C. g(-4) = -11
D. g(0) = 2
Answer:
I am a person and I'm going to say it is. c.
PLEASE HELP! No links, I just need answer and explanation please!
What is x and y??
9514 1404 393
Answer:
x = 90y = 64Step-by-step explanation:
If we take the arcs to mean that those angles are congruent, then the sum of exterior angles is ...
x° +2y° +75° +67° = 360°
y = 109 -x/2 . . . . . . subtract non-x terms and divide by 2
Because x° forms a linear pair with a right angle, we know ...
x° = 180° -90° = 90°
Then ...
y = 109 -90/2 = 64
The values of x and y are 90 and 64, respectively.
Taylor is playing a video game. She eams 15 points when she completes Level 1. Each time she completes a level, she earns three
times as many points as the previous level.
How many points will Taylor earn when she completes Level 6?
3645 points will Taylor earn when she completes Level 6.
What is a permutation?Permutation is the arrangement of items in which order matters. In this situation order matters repetition allowed.
According to the question,
Taylor is playing a video game. She earns 15 points when she completes Level 1.
Each time she completes a level, she earns three times as many points as the previous level.
= 15 × \(3^{6-1}\)
= 15 × \(3^{5}\)
= 15 × 243
= 3645
Hence, 3645 points will Taylor earn when she completes Level 6.
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7x+3 find x. I am confused I need help………………….
Denver purchases a house for $125000 with an annual interest rate of 3.5%. Denver will pay the mortgage monthly for 15 years
Denver will make a $364.77 monthly mortgage payment.
How do you calculate monthly mortgage payments?Your bank will calculate your monthly payments for a 15-year mortgage using a 15-year mortgage rates calculator. It divides your interest rate by 12 to obtain your monthly rate, which is then multiplied by the amount of unpaid principle to determine how much interest you owe each month.
M = Total monthly payment.
P = The total amount of your loan. =125000
I = Your interest rate, as a monthly percentage.=3.5% /12 = 0.00291
N = The total amount of months in your timeline for paying off your mortgage
= 15 * 12 =180
M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1].
\(M = 125000[ 0.00291(1 + 0.00291)^{180} ] / [ (1 + 0.00291)^{180-1}].\)
\(M = 125000[0.004909 ] / [ (1 + 0.00291)^{180-1}].\)
\(M = 125000[0.004909 ] / [ 1.6822].\)
\(M = 125000\times 0.002918\\\)
M= 364.77
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find the value of x in th following image
Answer:
x = 75
Step-by-step explanation:
75 and x are alternate angles and are congruent , so
x = 75
Given: m//n
Prove: angle 1 and angel 4 are supplementary
⇒ Supplementary angles are angles that add up to 180°
⇒ ∠1+∠2=180°(angles on a straight line)
∠2=∠4( Corresponding angles are equal m||n)
⇒*NOTE THE FOLLOWING STATEMENT IS TO MAKE YOU UNDERSTAND,IT MUST NOT BE INCLUDED IN YOUR ANSWERBOOK)
If ∠2=∠4
in the place of ∠2 in the equation ∠1+∠2=180° we can substitute ∠4 since the two angles (∠2 and ∠4) are equal by corresponding angles
______________________________________________________
⇒You may include this step now as you now know how ∠4 came up.
∴∠1+(∠4)=180°
∠1+∠4=180°
Now from the above equation we can see that ∠1 and ∠4 are supplementary angles as they both add up to 180°
Which smallest number is subtracted from the number 12675 to make it a perfect square?
For that middle part I’m soo confused help!
is 13.48 irrational or rational?
Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
ko dung may tinh hay so sanh
3√7 vs 7√3
Answer:
what this makes bi sense haha
Step-by-step explanation:
but ok
A Triangle has a height that is half of 28 yards and an area of 56 yards^2. What is the length of the base of the trangle?
The length of the base of the triangle is 8 yards whose height is half of 28 yards.
What is triangle?A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.
According to question:The following formula provides the area of a triangle:
Area = (1/2) x base x height
We are given that the height of the triangle is half of 28 yards, which is:
height = 1/2 x 28 = 14 yards
We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:
56 = (1/2) x base x 14
Simplifying this equation, we get:
56 = 7 x base
Dividing both sides by 7, we get:
base = 8
Therefore, the length of the base of the triangle is 8 yards.
The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.
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Line u passes through points (10, 8) and (1, 10). What is the slope of line v?
\((\stackrel{x_1}{10}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{10}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{10}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{10}}} \implies \cfrac{ 2 }{ -9 } \implies - \cfrac{2}{9}\)
Predict the number of deer in a 25 square mile section of the mountains based on the sampling from the figure
Help please it’s a test!
Answer:
E. 425
Step-by-step explanation:
Assuming that since there are 17 deer in one square, there must be 17 in each square, and knowing there are 25 squares, the answer is equal to 17*25 = 425
Jan uses 22.5 gallons of water in the shower. This amount is 7.5 gallons less than what she uses when washing her clothes. Write and solve an equation to find out how many gallons she uses to wash her clothes.
22.5 (shower) = X (variable used in place of the amount of water she uses to wash clothes) - 7.5 (the amount she used in the shower is 7.5 gallons less than she uses for washing clothes)
22.5 = X - 7.5 《 This is the equation.
Solve is by adding 7.5 to both sides to cancel out the negative 7.5 and you get (X = 30).
Jason needs to mow his yard. The yard is 12.2 ft. by 22.4 ft. How many
square feet of yard will Jason need to mow? Your answer should be a
number only. Do not round.
Jason will need to mow an area of 12.2 ft. × 22.4 ft. = 273.28 square feet of yard.
Answer: 273.28 sq ft
Step-by-step explanation:
12.2x24.4=273.28 sq ft.
PLEASE HELP I NEED ASAP
Answer:
no your answer is correct :)
(5x+5)-2x
No scam.....
Answer:
=3x+5
Step-by-step explanation:
Let's simplify step-by-step.
5x+5−2x
=5x+5+−2x
Combine Like Terms:
=5x+5+−2x
=(5x+−2x)+(5)
=3x+5
Answer:
=3x+5
Answer:
\(\boxed{\boxed{\sf 3x+5 }}\)
Step-by-step explanation:
\(\sf (5x+5)-2x\)
\(\sf \left(a\right)=a\)
⇒ First step is to get rid of expression parentheses:
\(\longmapsto\) \(\sf 5x+5-2x\)
⇒ Now, we need to combine like terms:
\(\longmapsto\) \(\sf (5x-2x)\) \((5)\)
\(\longmapsto\) \(\sf 3x+5\)
__________________________________
Label the triangle sides, assuming the angle of interest is the 30-degree angle:
solve for
The side with x is the
blank side.
The side with y is the
NO SPAM I WILL REPORT YOU
blank side.
The side with 17 is the blank side
Check the picture below.
HELP HELP HELP HELPPPPPPPPP
What is the value of x?