Step-by-step explanation:
3x-28=2x-9
3x-2x=28-9
x=19°
For angle FGH = 2x-9° = 38°-9° = 29°.
For angle HGI = 3x-28° = 57°-28° = 29°.
For angle FGI = 29°+29° = 58°.
hope this helps you.
Complete the description of the piecewise function graphed below.
Step-by-step explanation:
not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).
I assume, we have the following points :
(-6, 1.5) (-3, 3)
(-3, 2) (1, 2)
(1, 1) (6, -9)
all 3 segments are lines with the basic function definition
y = ax + b
a is the slope of the line function and is always the factor of x.
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
b is the y-intercept (the y value when x = 0).
the first segment goes from (-6, 1.5) to (-3, 3).
x changes by +3 units (from -6 to -3).
y changes by +1.5 or 3/2 units (from 1.5 to 3).
the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2
giving us the first part
y = (1/2)x + b
b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :
3 = (1/2)×-3 + b
3 = -3/2 + b
6/2 + 3/2 = b
9/2 = b
the full equation is
y = (1/2)x + 9/2 = (x + 9)/2
the second segment is a flat, horizontal line and is simply
y = 2
the third segment goes from (1, 1) to (6, -9) :
x changes by +5 units (from 1 to 6).
y changes by -10 units (from 1 to -9).
the slope of the line is -10/5 = -2
giving us the first part
y = -2x + b
b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :
1 = -2×1 + b
1 = -2 + b
3 = b
the full equation is
y = -2x + 3
The answer is in the pic below!
(1 point) Water is leaking out of an inverted conical tank at a rate of 8500.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 7.0 m. If the water level is rising at a rate of 29.0 cm/min when the height of the water is 1.5 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Answer:
2030.4
Step-by-step explanation:
divided 85 and 7.0
Give coordinates for three possible pairs of points for the other two verticies...
Answer:
A) (-1,3) and (4,3)
B) (-1,-7) and (4,-7)
C) (1.5, .5) and (1.5, -4.5)
Step-by-step explanation:
For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.
4-(-1)=4+1=5
The length of the side of the square is 5.
1. For the first set of points, the square is above the two given points so just add 5 to the y-values
-2+5=3
This gives you the points:
(-1,3) and (4,3)
2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.
-2-5=-7
This give you the points:
(-1,-7) and (4,-7)
3. The third answer is when the two given points are on opposite corners
of the square.
Here the diagonal is equal to 5 since they are on opposite corners of the square.
The diagonal of a square can be found with the pythagorean theorem
Since we have the diagonal we can find the side lengths we need.
[tex]2s^2=25[/tex]
s=[tex]\sqrt{\frac{25}{2} }[/tex]
s=3.5355
We want the new vertices to be in the middle of the other vertices x-coordinates
[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]
The new vertices will be 2.5 units away from the other vertices
-1+2.5=1.5
The new vertices will be at x=1.5
Now we need the pythagorean theorem again to find the y-values
[tex](2.5)^2+h^2=(3.5355)^2[/tex]
[tex]6.25+h^2=\frac{25}{2}[/tex]
[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]
h=2.5
The new vertices will be:
(1.5, -2+2.5)=(1., .5)
(1.5, -2-2.5)=(1.5, -4.5)
the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million
Answer:
We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps
help plzz
Find the length of X
Answer:
the answer is x=8 that is the answer
What is the slope of the line that passes through the two following points?
(2,-5),(-1,4)
- 1/3
- -1/3
- 3
- -3
Using the findings (e.g., themes) from a qualitative study to develop a new quantitative survey is known as what type of integration
Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.
Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.
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Nicole makes $26,400 per year. Her monthly rent is 25% of her monthly income. (find the monthly income to find the monthly rent) What is her monthly rent? I assume $26,375?
the k the term is 1199/1200. What's k.
Answer:
could I get a picture plz
What is Calculus ???
Answer:
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
Answer:
The fundamental idea of calculus is to study change by studying "instantaneous " change, by which we mean changes over tiny intervals of time. And what good is that? It turns out that such changes tend to be lots simpler than changes over finite intervals of time.
Step-by-step explanation:
3. Given: DE is a midsegment of AABC. Show all work.
a. Find the value of x and y.
b. What is the length of AC?
Answer:
x = 10
y = 1
DE = 7
AC = 14
Step-by-step explanation:
x + 2 = 24/2
x = 12 - 2
x = 10
y + 6 = x - 3
y = 10 - 3 - 6
y = 1
Use the simple interest formula 1=prt find the amount that needs to be invested at 7%per year for 12 years in order to earn 2500$in interest
A bird flying 45 feet above a river dives
down 58 feet to catch a fish. Find the
location of the fish relative to the surface of
the water.
write an equation in slope-intercept form of the line (-10,-4) and (5,6)
Answer:
y = 2/3x + 8/3
Step-by-step explanation:
A train has an odd number of cars. The number of cars Is greater than 1 and less than 9
A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.Create an equation that models this situation.How many girls are in the class?
8 boys, x girls, 4 pencils each, total number of pencils 52.
The equation can be 4(8+x) = 52
So lets solve:
4(8+x)=52
Divide 4 on both sides:
8 + x=52 / 4
8 + x = 13
Subtract on both sides:
x = 13 - 8
x = 5
There are 5 girls in the class.
Now lets solve to double check:
4(8+5)=52
4(13)=52
52 = 52
Yes!
This means that there are 5 girls in the class.
I hope this helps! :)
Taking into account the definition of equation, there are 5 girls in the class.
Definition of equationAn equation is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.
In other words, an equation is the equality between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
Each equation has two members, and these are separated by using the equal sign (=), which in turn each of them are made up of terms.
The unknowns, that is, the values to be found, are represented by letters.
The equality between the two algebraic expressions is only verified for certain values of the unknown.
In this way, the solution of an equation means determining through certain procedures the value that satisfies it.
Equation for this situationA class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.
An equation that models this situation is:
4×(8+x)= 52
It is considered that:
When a value you are adding goes to another side of the equation by subtracting.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value you are multiplying goes to the other side of the equation, then it will go by dividing everything on the other side.Solving in this case:
8 +x= 52÷4
8 +x= 13
x= 13 -8
x= 5
Finally, there are 5 girls in the class.
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Fatima writes down three square numbers.
The total of the square numbers is 30.
Which square numbers did Fatima write down?
Answer:
10
Step-by-step explanation:
Fatima wrote down 3 square numbers
since we don't know the three square we will represent it by any variable (X)
3x=30
so you divide both sides by 3
so we have 3x/3=30/3=10
therefore the answer is 10
The total of the square numbers is 30.
The squares can be from the following.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
1 + 4 + 25 = 30
The three square numbers are 1, 4, and 25.
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The total of the square numbers is 30.
The squares can be from the following.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
We can take three squares.
1 + 4 + 25 = 30
This is a perfect case.
Thus,
The three square numbers are 1, 4, and 25.
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#SPJ2
I WILL MARK BRAINEST!!!
#6 D and E please!
Answer:
Q1 = 13.5
Q3 = 17.5
Step-by-step explanation:
6d) ===============
12, 12, 13, 14, 14, 17, 17, 17, 17, 18, 19, 20
I counted 12 numbers in this set. The median is the middle number of a sorted set. It's also the 2nd quartile as it is 2 quarters in, or 50% in.
First, find the median. In an even-numbered set, that's the average of the 2 middle numbers. In this case, it's between 17 and 17:
12, 12, 13, 14, 14, 17 === 17, 17, 17, 18, 19, 20
Now the set is split into 2 sets with 6 numbers each. Now, find the median of each of those sets. Again, the median of an even-numbered set is the average of the 2 middle numbers.
To find the first quartile (Q1), find the median of the lower set.
12, 12, 13 === 14, 14, 17
The median here is the average of 13 and 14, so 13.5.
6e) ==============
Exactly the same process as above.
7, 12, 12, 13, 14, 14, 17, 17, 17, 18, 19, 20
12 numbers again.
7, 12, 12, 13, 14, 14 === 17, 17, 17, 18, 19, 20
Now, to find the third quartile, find the median of the upper set.
17, 17, 17 === 18, 19, 20
The median is the average of 17 and 18, or 17.5.
Please help mee please plese
Answer:
C=66, C=25 1/7
Step-by-step explanation:
i
C=pi(d)
C=22/7*21
C=66
ii
C=pi(d)
C=22/7*16
C=25 1/7
7 Mathexcellup logo
I answered the question and got it right.
what’s y = x +-2 -76
Answer:
y = x - 78
Step-by-step explanation:
y = x +-2 -76
y = x -78
PLS help im stuck i dont understand how to do the problem
Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.
Answer:
y/x = 2 or y = 2xStep-by-step explanation:
The given triangle has:
Vertical segment = 2 unitsHorizontal segment = 1 unitThe ratio (slope) is:
2/1 = 2For any triangle using same line the proportion is:
y/x = 2 ory = 2xHelp algebra 2 please
Answer:
it should be C I guess.
Im sorry if it is wrong
Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and
potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your
knowledge of polynomials, perimeter and area to solve the following questions.
1. Write a polynomial expression that represents the area of the potato field.
2. Simplify a polynomial expression that represents the area of the potato field.
3. Explain why the calculated area would be useful to Farmer Bob.
The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.
Area of the potato field = length * width
Length = x^2 + 7x + 12
Width = x + 6
Substitute into the formula to get the required polynomial
Area of the potato field = (x^2 + 7x + 12)(x+6)
Area of the potato field = x^3+6x^2+7x^2+42x+12x+72
Area of the potato field = x^3 + 13x^2 + 54x + 72
Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
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what is 22 over 7 - 2 over 3 divided by 2
please ehlp delta math with explanation please
Answer:
134.3
Step-by-step explanation:
In [tex]\triangle{WXZ},[/tex] a right triangle, look at sides XW and XZ.
[tex]\frac{XW}{XZ}=\frac{\text{adjacent}}{\text{hypotenuse}}=\cos{82^\circ}\\\\XW=(XZ)\cos{82^\circ}[/tex]
You now need to find XW.
In [tex]\triangle{XYZ},[/tex] the measure of angle XZY (the one at the top) is 180 - (82 + 67) = 31 degrees.
Using the Law of Sines in triangle XYZ,
[tex]\frac{XZ}{\sin{67^\circ}}=\frac{540}{\sin{31^\circ}}\\\\XZ=\frac{540 \sin{67^\circ}}{\sin{31^\circ}}[/tex]
Put that into the equation for XW above...
[tex]XW=\frac{540\sin{67^\circ}\cos{82^\circ}}{\sin{31^\circ}}[/tex]
A calculator shows that this is approximately 134.3
20
18. Find the values of x and y in the parallelogram PQRS.
vat
PT = 2x, TR = y +3, QT = 3x, TS = 2y
T
27
2x
Р
S
0
Answer:
Step-by-step explanation:
Please show work
I just need long division, I got synthetic division done .
Answer:
(10x^4-50x^3-800)/(x-6)
Step-by-step explanation:
Images with work attached
Answer:
10 • (x^4 - 5x^3 - 80)
————————————————————
x - 6
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
STEP 2:
Equation at the end of step 2
:
STEP 3:
10x4 - 50x3 - 800
Simplify —————————————————
x - 6
STEP 4:
Pulling out like terms
Pull out like factors :
10x^4 - 50x^3 - 800 = 10 • (x^4 - 5x^3 - 80)
Polynomial Roots Calculator :
Find roots (zeroes) of : F(x) = x^4 - 5x^3 - 80
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -80.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -74.00
-2 1 -2.00 -24.00
-4 1 -4.00 496.00
-5 1 -5.00 1170.00
-8 1 -8.00 6576.00
Polynomial Roots Calculator found no rational roots
Polynomial Long Division :
Dividing : x^4 - 5x^3 - 80
("Dividend")
By : x - 6 ("Divisor")
dividend x^4 - 5x^3 - 80
- divisor * x^3 x^4 - 6x^3
remainder x^3 - 80
- divisor * x^2 x^3 - 6x^2
remainder 6x^2 - 80
- divisor * 6x^1 6x^2 - 36x
remainder 36x - 80
- divisor * 36x^0 36x - 216
remainder 136
Quotient : x^3 + x^2 + 6x + 36
Remainder : 136
= 10 • (x^4 - 5x^3 - 80)
————————————————————
x - 6
Hope this helps, have a nice day/night! :D
solve pls brainliest
Answer:
3421
Step-by-step explanation:
3421 the order the tiles are in
jamelia paid $8.40 for sliced turkey the amount she bought was 2.40 lb how much did jamelia pay per pound for the sliced turkey