[tex] \frac{ {8}^{4} }{8 {}^{2} } \times 8 {}^{3} [/tex]
Cancel the fraction to simplify it.[tex]8 {}^{2} \times 8 {}^{3} [/tex]
Calculate the product[tex]8 {}^{5} [/tex]
Hope it helps...Write an equation of a line that passes through the point T ( − 2, − 5 ) and is parallel to the line y = 5 x + 7 .
Answer:
y = 5x + 5
Step-by-step explanation:
the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.
Consuelo is buying flavored coffee and plain coffee. The total amount of money she spends on coffee is T = 5.50p + 7f, where "p" represents the cost of a package of plain coffee and "f" represents the cost of a package of flavored coffee.
a. If Consuelo has $40 to spend on coffee, describe the constraints on the formula.
b. Solve for f.
c. If Consuelo needs to buy 3 packages of plain coffee, what is the maximum number of packages of flavored coffee she can buy?
A linear equation can have one or more variables.
The constraints on the formula are the costs of plain coffee and cost of flavored coffeeThe equation of f is: [tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex].The maximum number of packages of flavored coffee she can buy is 3The function is given as:
[tex]\mathbf{T = 5.50p + 7f}[/tex]
(a) The constraints when T = 40
Substitute 40 for T in [tex]\mathbf{T = 5.50p + 7f}[/tex]
[tex]\mathbf{5.50p + 7f = 40}[/tex]
The variables in the above equation are p and f
Hence, the constraints are the cost of a package of plain coffee and the cost of a package of flavored coffee
(b) Solve for f
In (a), we have:
[tex]\mathbf{5.50p + 7f = 40}[/tex]
Subtract both sides by 5.50p
[tex]\mathbf{7f = 40 -5.50p }[/tex]
Divide both sides by 7
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
Hence, the equation of f is:
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
(c) The maximum number of flavored coffee when she buys 3 packages of plain coffee
In (b), we have:
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
Substitute 3 for p
[tex]\mathbf{f = \frac{40 -5.50 \times 3}7 }[/tex]
[tex]\mathbf{f = \frac{40 -16.50}7 }[/tex]
[tex]\mathbf{f = \frac{23.5}7 }[/tex]
Divide
[tex]\mathbf{f = 3.36 }[/tex]
Remove the decimal part (do not approximate)
[tex]\mathbf{f = 3 }[/tex]
Hence, the maximum number of packages of flavored coffee she can buy is 3
Read more about linear equations at:
https://brainly.com/question/12420841
What is the difference?
+1
X4 2 2 + 2x
24-1
C
** + 2)
0
2 + 4 +1
* X+ 2)
4
C
-1x2 + X-2)
(-
2 + 6 +1
* * * 2)
++
Answer:
nothing DONT worry pop lollll
11/8+(-11/10)=
Plz, I don't know the answer.
Answer:
11/40
Step-by-step explanation:
If your answering in fraction and not in decimal this is how you do it:
1. Get rid of the brackets surrounding -11/10. You do this by multiplying the positive sign (+) by the negative sign (-) in front of 11. Now the rule says that multiplying a positive with a negative always gives you a negative therefore your fraction in the brackets will remain negative while removing the plus sign. Now your problem should look like this: 11/8-11/10.
2. Finding the common multiple of the denominators. You can't just minus the fractions unless the denominators are the same. To do this you first have to find the lowest common multiple (lcm) of denominators 8 and 10. You can list 5 multiples for each to find this or more depending on how many multiples you need to reach the lcm.
8= 8,16,24,32,40,48,etc.
10=10,20,30,40,50,etc.
The lcm for 8 and 10 is 40.
3. Change the fractions to substitute the new value of the denominators in. To do this you have to multiply the fractions. For example, multiply 11/8 by 5/5 to get 55/40(11×5/8×5). Do the same for the second fraction: 11/10×4/4(11×4/10×4) which gives 44/40.
4. Now finally just minus which is just 55/40-44/40 and your answer will be 11/40. Minus the numerators only not the denominators.
I'm not really good at explaining but I hope this helped
9/20 - 7/15=
help guys plsss need na now .,.
Answer:
-1/60
Step-by-step explanation:
9/20-7/15=27/60-28/60
=-1/60
Answer:
-1/60
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(9/20, 7/15) = 60
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(9/20×33)−(7/15×44)
Complete the multiplication and the equation becomes
27/60−28/60
The two fractions now have like denominators so you can subtract the numerators.
Then:
27−28/60=−1/60
This fraction cannot be reduced.
Therefore:
9/20−7/15=−1/60
Please help me solve this ASAP
Point A is at (3, -8) and point B is at (7, 3). What is the midpoint of line segment AB?
Answer:
[tex](5, -5/2)[/tex]
Step-by-step explanation:
The midpoint of any line segment is the average of the x- and y-values of the two endpoints.
Therefore, the midpoint of [tex]AB[/tex] is [tex]((3+7)/2, (-8+3)/2)=(10/2, -5/2)=(5, -5/2)[/tex].
So, the answer is [tex]\boxed{(5, -5/2)}[/tex] and we're done!
Which shows the expression below in simplified form?
(5 × 105) × (6 × 10-2)
Answer:
30450.
Step-by-step explanation:
Not sure what you meant by simplify? Hope this helps.
PLEASE HELP NOW! NO FAKE ANSWERS!!!!!!!!!!!!!!
Answer:
D becuase its given tht she spens $2 on cerial and x is the cost of apples per pound
Step-by-step explanation:
Have a good day, keep learning
Answer:
[tex]4x + $2.00[/tex]
Step-by-step explanation:
This is because the cost of the box of cereal is $2.00 and the cost of 4 pounds of apples at a cost of x dollars per pound is 4x so in conclusion the total cost will be $2.00+4x or 4x+$2.00
Von works as a car salesman. He earns 8% commission on the after-cost profit when
he sells a car. If he sells a car for $12 795.00 that cost the dealer $9280.00, how
much does he make?
Answer: 281.20
Step-by-step explanation:
12,795-795=3515
take 8 percent of that and you get 281.20
GIVING BRAINLIEST, BUT MUST EXPLAIN
Billy wants to put a fence around his triangular garden. He has two pieces of wood measuring 9 feet and 14 feet. What is the smallest piece of wood he can purchase to create the garden?
Answer:9 ft
Step-by-step explanation:
It would be 9 ft because that's the smallest piece of wood he can use
Asking again cause some idiot broke my other question, What is the equation of the following graph in vertex form?
parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity
Courtesy of Texas Instruments
y = (x − 4)2 − 4
y = (x + 4)2 − 4
y = (x + 2)2 + 6
y = (x + 2)2 + 12
Answer:
Hi there!
The vertex form equation is y=a(x-d)^2+c where the vertex is (d, c).
The vertex is always the turning point when the y-values start to travel in the opposite direction from which they began traveling on the opposite side of the turning point. Therefore the point (4, -4) is the vertex.
y=a(x-4)^2-4
We can sub in a point on the graph in order to solve for the a-value. Let's use (6, 0), and sub that in for x and y.
0=a(6-4)^2-4
0=a(2)^2-4
4=4a
a=4/4
a=1
Therefore the equation is y=(x-4)^2-4
Hope this helps!
Step-by-step explanation:
Z-49+851=100+21z /////////////////////////////////////////////////
Answer:
z=35.1
Step-by-step explanation:
Answer:
z = 351/10 or z = 35.1
Step-by-step explanation:
*Add/subtract numbers: -49 + 851 = 802
z + 802 = 100 + 21z
*Subtract 802 from both sides
z + 802 - 802 = 100 + 21z - 802
*Simplify
z = 21z - 702
*Subtract 21z from both sides
z - 21z = 21z - 702 - 21z
*Simplify
-20z = -702
*Divide both sides by -20
- 20z/20 = - 702/- 20
*Simlify
z = 351/10 or z = 35.1
The questions is - What is the slope intercept? Then convert your answer to standard form.
please help me Im pretty sure the slope intercept is y=1 but I dont know what that would be as standard form would be
Answer:
y=1
Step-by-step explanation:
You're correct also graphed so you can see your answer is right
The graph is undedefined because it doesn't have a X and continues straight on one point. So for standard for you would put Y=1/undefined or just undefined
m = -8, y-intercept = 2
Answer: y=-8x+2
Explanation: Slope intercept form is y=mx+b
Plug -8 in for m, and -2 in for b to get y=-8x+2
What is the result when the number 40 is decreased by 50%
Answer:
20
Step-by-step explanation:
40 x 50% = 20
So 50% of 40 equals to 20. Now, since it says decreased by 50%, we have to subtract 20 from 40 because we already know that 20 is the 50%. So 40 - 20 gives you 20.
Answer this question please
Answer:
1/8362
Step-by-step explanation:
Student picked at random/Number of students
There's a roughly linear relationship between the length of someone's femur (the long
leg-bone in your thigh) and their expected height. Within a certain population, this
relationship can be expressed using the formula h = 63.4 +2.41f, where h
represents the expected height in centimeters and f represents the length of the
femur in centimeters. What is the meaning of the f-value when h=123?
Answer:
24.73
Step-by-step explanation:
h=63.4+2.41f
h=123
123=63.4+2.41f
59.6=2.41f
24.73=f
If the value of h is 123. Then the length of the femur will be 24.73 centimeters.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
h = 63.4 + 2.41 f
Where h represents the expected height in centimeters and f represents the length of the femur in centimeters.
If the value of h is 123. Then the f-value is given as,
123 = 63.4 + 2.41 f
2.41 f = 59.60
f = 24.73 cm
Assuming that the worth of h is 123. Then, at that point, the length of the femur will be 24.73 centimeters.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Can somebody round 32.7 to the nearest 10th and make it a whole number? explain your answer very very clearly please ;)
Answer:
32.7. 0.7 is a tenth already
32.7. 7 is greater than 5.
round to 38
Step-by-step explanation:
0.0091 to the thousandth
Answer:
0.009
Step-by-step explanation:
The 9 is in the thousandths place, so just round.
Answer: 0.009
Step-by-step explanation:
the third place after the decimal is the thousandths place therefore you leave the number in that position in the final answer
Which of these expressions is equivalent to log ( 15 x 24 )
Answer:
15*24=360
Step-by-step explanation:
Answer:On A.p.E.X its Log (15) + Log (24)
Step-by-step explanation:
a football player runs 80 yards in 25 seconds how far could he run in 60 seconds ?
85 YARDS.
HOPE IT HELPS YOU
Can somebody help me
Answer:
Step-by-step explanation:whtyui
fgj
helllooooooo
Help me please!!! It’s due at 11:59
Answer:
18
Step-by-step explanation:
Let the required number be x.
Step 1write the expression for the difference of the number and 4.
=> x - 4
Step 2the question equates 5 times the difference with some other terms, so find the equation for 5 times the difference.
=> 5( x - 4)
Step 3The equation in Step 2 is said to be equal to "two less than four times the number".
Find the expression for four times the number
=> 4x
Step 4Find the expression for two less than 4x.
=> 4x - 2
Step 5Equate the terms that it says are equal:
=> 5(x - 4) = 4x - 2
distributing 5 within the parenthesis:
=> 5x - 20 = 4x - 2
taking like terms on one side:
=> 5x - 4x = 20 - 2
(the sign carried by the terms get inverted while changing their sides)=> x = 18
and x was the required number, so the answer Is 18.
Gate Elementary has 900 registered
students. Gate Middle has 483 registered
students. How many more students are
registered at the elementary school than
the middle school?
Answer:
417
Step-by-step explanation:
900-483=417
d/d{cosec^-1(1+x²/2x)} is equal to
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]
Let assume that
[tex]\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]
We know,
[tex]\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}[/tex]
So, using this, we get
[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)[/tex]
Now, we use Method of Substitution, So we substitute
[tex] \red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}[/tex]
So, above expression can be rewritten as
[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)[/tex]
[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)[/tex]
[tex]\rm\implies \:y = 2z[/tex]
[tex]\bf\implies \:y = 2 {tan}^{ - 1}x[/tex]
So,
[tex]\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x[/tex]
Thus,
[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]
[tex]\rm \: = \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)[/tex]
[tex]\rm \: = \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)[/tex]
[tex]\rm \: = \: 2 \times \dfrac{1}{1 + {x}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{2}{1 + {x}^{2} } [/tex]
Hence,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}[/tex]
Hence, Option (d) is correct.
If Jose’s house is at -6,8 Tyrell’s house is at 6,8 the football field is at 6,-5 and Jose went to Tyrell’s house then to the football field how far did Jose travel to football practice
Answer:
25 = units Jose travelled
Jh to Th = x moves 12 across
and y moves 0 is constant (up/down or constant)
Th to FF = x moves 0 stays constant and y moves 13 left
12 + 13 = 25
The purpose of this exercise is concerning parabolas = curve equations
x has two points x = -6 and x = 6
y has two points y = -5 and y = 8
however we cant plot this as ANSWER without using all the coordinates
y has one answer unit at 13 and not shown in an equation if it was the y intercept or curve mid point it would be a straight line and not a curve at 13 we can therefore set y to zero 0 as mid point curve when drawing the curve.
Then to find the each unit change we could prove with straight line upon the parabola by first using the straight line equation formula y-y1 = m(x+x1)
Straight line equation
Plug in Jose's coordinates given in the question.
Therefore y - - 6 = 6 (x + 8 ) = y+6 = 6x + 46 multiply out
= y+6 = 6x + 46 -6 cancel out with -6
= y = 6x+40
the answer therefore becomes y=6x+40
Plug in the same for Tyrell coordinates given in the question.
y - 6 = -6 (x + 8 ) = y-6 = -6x + 46 multiply out
= y-6 = -6x - 46 + 6 cancel out with +6
= y = -6x+52
and is a decrease of 6 i various ways.
Plug in for Football field coordinates given in the question.
y-6 = -6(x -5)
= y -6 = -6x +30
= y = -6x + 30+6
= y = -6x + 36
Shows constant 6 and -6 for m the slope and 46-36 = 10 decrease each side from 0 being the curve mid point on x line. down into the mid curve |
= 10+10 to represent each side = 20 then +5 = 25
As the shift in the curve makes negative positive and positive negative.
= 25 units
What is the completely factored form of this polynomial?
18x3 – 120x2 - 42x
Write the greatest common factor (GCF) first, and write all factors in standard form.
Answer:
6x(3x + 1)(x - 7)
Step-by-step explanation:
First look for the greatest common factor of the 3 terms.
The GCF is 6x, so
18x^3 – 120x^2 – 42x
= 6x(3x^2 - 20x - 7)
Now we look to factor the quadratic expression in the parentheses:
The first and last coefficients are multiplied
3 * -7 = -21.
We look for 2 numbers whose product is -21 and whose sum is -20:
They are -21 and + 1 , so we write:
6x(3x^2 - 21x + 1x - 7)
= 6x [ (3x(x - 7) + 1(x - 7)] Note that x - 7 is common, so:
= 6x(3x + 1)(x - 7) Answer
Answer:
Step-by-step explanation:
What is 4^3 written in expanded form?
Answer:
64
Step-by-step explanation:
4^3, means 4*4*4, and it is very simple to calculate when you break it down to 4*4= 16 and then 16*4=64. So your final answer is 64.
Solve the system of equations by substitution.
x = y + 8
4x + 2y = 2
Answer:
y=-5
Step-by-step explanation:
4(y+8) + 2y=2
4y+32+2y=2
6y+32=2
6y=-30
y=-5