Answer: 117
Step-by-step explanation:
Formula for arithmetic sequence is:
= a + (n - 1)d
22nd term = a + (n - 1)d
= a + (22 - 1)d = a + 21d
where, a = 12
d = 17 - 12 = 5.
Therefore, 22nd term will be:
= a + 21d
= 12 + 21(5)
= 12 + 105
= 117
The 22nd term is 117
Anna's car requires 5 1/2 gallons of gasoline to make 4 round trips to work and back. If her car can travel 24 miles per gallon of gasoline, how far, in miles is one round trip to work and back?
Answer:
33 miles
Step-by-step explanation:
5.5÷4= 1.375 gal per round
1.375×24= 33 miles
What is the slope for a line containing the following points? (-3,5) (3,1)
Step-by-step explanation:
[tex]y2- y1 \x2 - x1[/tex]
Juan gets paid $13.75 for walking his neighbor's dog. This week he has walked the dog 7 times. Juan did such a good job that his neighbor gave him a $23.45 tip. How much money has Juan made?
Answer:
The answer is 119.7 hope this helped! Also please mark me as brainliest.
I need this Done tonight. Plz help me.
Answer is 15 miles
This is because:
1 inch- 5 miles
3 inches- 15 miles
3x5=15 miles
Hope this helps!
You start at (2, 8). You move up 1 unit. Where do you end?
Answer:
2,9 should be your answer
Answer:2 Answers By Expert Tutors ... You end at (-2, 1-4+8), which is point (-2,5). ... Moving down and up would indicated that we are moving along the y- ...
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Step-by-step explanation:
A rectangle has a length of y^2+3y+7 and a width of y-3. How much longer is the length?
Given:
The length of the rectangle = [tex]y^2+3y+7[/tex]
Width of the rectangle = [tex]y-3[/tex]
To find:
How much longer is the length?
Solution:
We need to find the difference between length and width of the rectangle.
[tex]Difference=Length-Width[/tex]
[tex]Difference=y^2+3y+7-(y-3)[/tex]
[tex]Difference=y^2+3y+7-y+3[/tex]
[tex]Difference=y^2+(3y-y)+(7+3)[/tex]
[tex]Difference=y^2+2y+10[/tex]
Therefore, the length of the rectangle is [tex]y^2+2y+10[/tex] much longer than the width.
1). What are the vertices of the hyperbola whose equation is:
( y + 6 ) ² ( x + 8 ) ²
_____ - _____
81 49
2). What are the foci of the hyperbola whose equation is:
( x - 6 ) ² ( y + 7 ) ²
_____ - _____
16 9
Answer:
1) The vertices of the hyperbola are (-8, -15), (-8, 3)
2) The foci of the hyperbola are (11, -7) or (1, -7)
Step-by-step explanation:
1) The vertices of a hyperbola given in the form [tex]\dfrac{\left (y - k\right)^2}{a^2} -\dfrac{\left (x - h\right)^2}{b^2} = 1[/tex] is (h, k ± a)
Therefore, for the given hyperbola with the following equation;
[tex]\dfrac{\left (y + 6\right)^2}{81} -\dfrac{\left (x + 8\right)^2}{49} = 1[/tex], we have;
[tex]\dfrac{\left (y + 6\right)^2}{9^2} -\dfrac{\left (x + 8\right)^2}{7^2} = 1[/tex]
Therefore the vertices are;
(-8, -6 ± 9) = (-8, -15), (-8, 3)
2) The equation of the given hyperbola is presented as follows;
[tex]\dfrac{\left (x - 6\right)^2}{16} -\dfrac{\left (y + 7\right)^2}{9} = 1[/tex]
The given hyperbola is of the form;
[tex]\dfrac{\left (x - h\right)^2}{a^2} -\dfrac{\left (y - k\right)^2}{b^2} = 1[/tex]
We get;
[tex]\dfrac{\left (x - 6\right)^2}{4^2} -\dfrac{\left (y + 7\right)^2}{3^2} = 1[/tex]
The foci is then (h ± c, k)
Therefore, by comparison, the foci of the given hyperbola is (6 ± c, -7)
Where c² = a² + b²
∴ c² = 4² + 3² = 25
c = √25 = 5
∴ The foci; (6 ± 5, -7) = (11, -7) or (1, -7).
Write an equation of a line in slope-intercept form that has a slope of -5 and passes through the point (-3, -4).
Answer:
y = -5x - 19
Step-by-step explanation:
y = -5x + b
-4 = -5(-3) + b
-4 = 15 + b
-19 = b
please help!! I’m doing 13 points since it’s sorta tricky!!
Answer:
c 10
Step-by-step explanation:
2units each and there are five spaces , this 10
Write an explicit formula to represent the sequence:
{8, 11, 16, 23, 32,...}
Mr. Smith's class has 28 students. They all put in an equal amount of money to get Mr. Smith an end of year gift. If they collected $168 altogether, how much money did each student give. For each question, define a variable (Let statement), write and solve an equation
Answer:
Step-by-step explanation:
28 students all give $128
so,
[tex]\sqrt[28]{128}[/tex]= v v=6
Each student gave 6 dollars. This is true due to the fact that
[tex]\sqrt[28]{128}[/tex]=6
28X6=128
If the sum of a number and six is doubled, the result is three less than the number. Find the number.
Answer:
n = -15
Step-by-step explanation:
Represent the number by n.
Then 2(n + 6) = n - 3
Performing the indicated multiplication, we get:
2n + 12 = n - 3
Combining like terms, we get n = -15
Solve 5x + 2y = 7 10x + 4y = 14 (1 point) (1,1) (2,3) No solution Infinitely many solutions
Step-by-step explanation:
if you do 14 divided by 7 gives you 2 am I right
find the measure of each interior angle of a regular polygon with the following number of sides 10
Answer:
a regular polygon has all angles measure sum up to 360 degrees so each interior angle = sum of alll angles/no.of sides so it is 360/10= 36 degrees hope its clear now
Step-by-step explanation:
The length of a rectangular swimming pool is exactly three times as long as its width. If the pool has a perimeter of 400m find the width of the pool.
Answer:
50m
Step-by-step explanation:
let the width be x
length=3x
3x+3x+x+x=400
8x=400
x=400÷8
x=50
For a party, Tyler gets four different kinds of soda. He buys a 6-pack of each
kind. At home, he divides the sodas evenly among three coolers. How many
sodas are in each cooler?
Answer:
8 sodas/cooler
Step-by-step explanation:
4 · 6 = 24
24/3 = 8
list some values that would make this inequality -2x>10
Answer:
-6,-9,-20,-25.
Step-by-step explanation:
You need to multiply a negative to make it positive as a negative multiplied by a negative equals a positive. But anything besides -1,-2,-3,-4,-5 and all positves can be placed.
plsss helppppp I need it right now plss :(
deadline now until 6:00pm and its 5:30pm here so plsss :(
Answer:
a) IJ is median
IJ = 1/2(HG + EF)IJ = 1/2(8 + 12) = 10 cmb) I is midpoint of HE, therefore, HI = IE
Substitute values and solve for x:
10 = x - 4x = 10 + 4x = 14 cmAnswer:
a) IJ is median
IJ = 1/2(HG + EF)
IJ = 1/2(8 + 12) = 10 cm
b) I is midpoint of HE, therefore, HI = IE
Substitute values and solve for x:
10 = x - 4
x = 10 + 4
x = 14 cm
Step-by-step explanation:
the number that makes the ratio equivalent to 1:9.
7:
Answer:
63. so it'll be 7:63
Step-by-step explanation:
1:9
7:x
(we multiplied 1 by 7 to get 7 so multiply 9 by 7)
9*7= 63
I don’t know what they talking about or asking
Answer:
purple
Step-by-step explanation:
systems of equations involves lines that cross
11. What is the value of x?
A 48
B 30
C 60
D 36
Answer:
I think it is B
hope this helps
ABCD is an isosceles trapezoid.
measure of angle B=
measure of angle C=
measure of angle D=
Answer:
Angle b= angle c =83degree
Angle d =97degree
Step-by-step explanation:
Since isosceles:
Angle b =angle c
Angle a= angle d
Angle d =a=97
Sum of quadrilateral inner degrees:360
(360-2x97)/2=b=c=83
Answer:
Answer:
Angle b= angle c =83degree
Angle d =97degree
Step-by-step explanation:
Since isosceles:
Angle b =angle c
Angle a= angle d
Angle d =a=97
Sum of quadrilateral inner degrees:360
(360-2x97)/2=b=c=83
Step-by-step explanation:
Josh drops his phone from a height of 50 feet. The situation is best modeled by h = -16t^2 +50, where h is the height in feet and t is the time in seconds. How long will it take for the phone to hit the ground? Round to the nearest tenth.
It will take approximately 1.8 seconds for the phone to hit the ground.
What is meant by an Equation?A mathematical statement which includes two sides, namely, left and right hand side consisting of numbers or variables, which are connected by an "equal to" sign is called an equation.
Given in the question that,
Equation representing the situation of the height of the phone in t seconds, is,
h = -16t² + 50
where h is the height in feet and t is the time in seconds.
The phone hits the ground means that the height is 0 there.
Substituting h = 0,
-16t² + 50 = 0
-16t² = -50
t² = 50 / 16
t² = 3.125
t = 1.767 ≈ 1.8 seconds
Hence the time taken is 1.8 seconds to the nearest tenth.
To learn more about Equations, click here :
https://brainly.com/question/29538993
#SPJ2
How to simplify 4(8n+2)
Answer:
32n +8
Step-by-step explanation:
4(8n + 2)
32n+8
Which functions is nonlinear
Answer:
the 3rd one
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
Would you use the median or mean to describe the center of each data set? Explain your reasoning. Heights of 50 basketball players
Answer:
Median is used to describe the center of the data of heights of 50 basketball players.
Step-by-step explanation:
The median divides the data into two equal parts.
It can be used to describe the center of the data.
The mean gives the average where most data lies.
The advantages of median are
1)it is located even when the values are not capable of quantitative measurements.
2) It is not affected by extreme values > It can be computed even when a frequency distribution involves open end classes like those of income and prices.
3) In a highly skewed distribution median is appropriate average to use.
The disadvantages of the mean are
1) it is greatly affected by extreme values.
2) It sometimes gives fallacious conclusions.
3) In a highly skewed distribution mean is not an appropriate average to use.
4) It cannot be computed even when a frequency distribution involves open end classes like those of income and prices.
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Answer:
cylinder radius and height
cone radius height
sphere raduis
brainliest. please help
Solve.
A standard coffee mug has a capacity of 16 fluid ounces.
If Annie needs to fill 10 mugs with coffee, how many total quarts of coffee does she need?
Annie needs
quarts of coffee.
Answer: Annie needs 13 quarts of coffee
Step-by-step explanation:
what is the quadraic formula? i dont know.... plz help!
Answer:
The quadratic formula is:
-b +/- √b² - 4(a)(c)
2a
Pretend the underline is a division line.
The square root symbol (√) counts for everything after it, not just b² btw.
Step-by-step explanation:
I know this video is cheesy, but the song helped me memorize it so I didn't have to look it up every time.
https://youtu.be/VOXYMRcWbF8
Step-by-step explanation:
Quadratic Formula :-
[tex]\sf{ x = \dfrac{ - b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]
Which works according to :-
[tex]\rm{ax^2 + bx + c}[/tex]
In case you do not know, this is also called Sridhar Acharya's formula.
Hope it helps :)
