The correct format of the question is
The value of a rare baseball card issued in 1989 is represented by the function f(x) = [tex]0.2x^3- 0.25x^2+3x +4[/tex] where x represents the number of years since the baseball card was issued. Use the Remainder Theorem to find the value of the card in 1999
Answer:
The value of the card in 1999 is 209
Step-by-step explanation:
The remainder theorem says that
If you divide a Polynomial by f(x) be a Linear factor of the form (x-a) the remainder will be equal to F(a).
f(x) = [tex]0.2x^3- 0.25x^2+3x +4[/tex]
So we need to find from 1989 to 1999 which is 10 years
so our a = 10
Factor will be x-10
Applying remainder theorem
[tex]\frac{ 0.2x^3 -0.25x^2+3x+4}{x-10}[/tex]
we will get
Quotient = [tex]0.2x^2 + 1.75x +20.5[/tex]
Remainder = 209
Verifying our result
F(10) = [tex]0.2(10)^3 -0.25(10)^2 + 3(10) + 4[/tex]
= 200 -25 + 30 + 4
= 209
Dr. Mann mixed 9.357 g of chemical A, 12.082 g of chemical B, and 7.502 g of chemical C to make 5 doses of medicine. About how much medicine did he make in grams? Estimate the amount of each chemical by rounding to the nearest tenth of a gram before finding the sum. Show all your thinking.
Answer:
Step-by-step explanation:
.
1) About how much medicine did he make in grams?
Dr. Mann mixed
9.357 g of chemical A,
12.082 g of chemical B,
7.502 g of chemical C
We can determine total amount of medicine that was prepared by Dr. Mann by summing up the chemicals (A,B,C)
=( 9.357grams of A + 12.082grams of B+ 7.502grams of C)
= 28.941 grams in total
The next step is to round up those chemicals value to their nearest tenth as asked by question
Dr. Mann mixed
9.357 g of chemical A= 9.4grams
12.082 g of chemical B,=12.1grams
7.502 g of chemical C =7.5grams
2)Estimate the amount of each chemical by rounding to the nearest tenth of a gram before finding the sum.
Then the sum after rounding up to nearest tenth is
(9.4grams +12.1grams + 7.5grams)
=29 gram
Evaluate 12.1v+ 11.7w when v=7 and w+8
Answer:
178.3
Step-by-step explanation:
The first time Lori played a game, she scored 100 points. She doubled her previous score each of the next 3 times she played the game. What was Lori's scored the first 4 times she played the game
Answer:
1500 points
Step-by-step explanation:
Given
[tex]Initial\ Score = 100[/tex]
[tex]Rate = 2[/tex]
Required
Determine the total score in first 4 games
This question illustrates a geometry progression and will be solved as follows:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
Where
[tex]a = First\ Term = 100[/tex]
[tex]r = common\ ratio = 2[/tex]
[tex]n = 4[/tex]
[tex]S_4 = \frac{100(2^4 - 1)}{2 - 1}[/tex]
[tex]S_4 = \frac{100(16 - 1)}{1}[/tex]
[tex]S_4 = \frac{100(15)}{1}[/tex]
[tex]S_4 = 1500[/tex]
Hence, the score in first four games total 1500 points
If the bottom of a ship is 15.8 below the surface of the sea, calculate the pressure at the bottom of the ship. The density of the seawater is 1030kg/m3
Given that these triangles are similar, which side corresponds to side GE?
Given that these triangles are similar, which side corresponds to side JK?
I NEED HELP ASAP
Answer:
1.KL
2.FG
Step-by-step explanation:
I hoped I helped
The side corresponds to side GE is Kl and the side corresponds to side JK is GF
What is similarity?Similarity is a term used for similar figures, in similar figures, we have equal corresponding angles and corresponding sides in equal ratios.
Given that, the two triangles are similar, since the figure of triangles is not given, we will consider the triangles attached to the solution,
We know that, the similar triangles are having corresponding sides are in equal ratios,
The triangles are Δ GEF ~ Δ KLJ
So, the corresponding sides are :
GE ~ KL
EF ~ LJ
GF ~ JK
Hence, the side corresponds to side GE is Kl and the side corresponds to side JK is GF
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WILL GIVE BRAINLIEST!!!! just need help with number 23!! i can calculate well so i just need someone to set it up for me!! i think it’s supposed to be in standard form
Answer: 7.3 pounds of coarse sand.
Step-by-step explanation:
The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16. The Capulets purchased three adult tickets and two student tickets for $19. How much was each adult and student ticket?
Answer:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2
Step-by-step explanation:
Let the cost for adult tickets be represented by x
the cost for student tickets be y
The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16.
= 2x + 3y = 16... Equation 1
The Capulets purchased three adult tickets and two student tickets for $19.
3x + 2y = 19 ..... Equation 2
How much was each adult and student ticket?
2x + 3y = 16... Equation 1
3x + 2y = 19 ..... Equation 2
We solve using Elimination method
Multiply Equation 1 by 2 and Equation 2 by 3 to eliminate u
4x + 6y = 32..... Equation 3
9x + 6y = 57.... Equation 4
Subtract Equation 4 from 3
-5x = -25
x = 25/5
x = $5
2x + 3y = 16... Equation 1
Since x = $5
2($5) + 3y = 16
10 + 3y = 16
3y = 16 - 10
3y = 6
y = 6/3
y = $2
Therefore:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2
what is 5/6 ÷ 5/16 ?
Answer:
2.66666666667 Rounded it would be 2.7
Step-by-step explanation:
Can someone help me with the PROGRAM “Tinkercad?”
Answer:
What is the issue?
Do you have an issue logging in?
Are you making something on a plot?
are all integers rational numbers?
Answer:
yes
Step-by-step explanation:
all integers can be formed from the division of two other whole numbers.
Answer:
yes all integers are rational numbers
PLS HELP! would really appreciate.
Answer:
Step-by-step explanation:
3^2*5^2= 225
9*25=225
Three to the 2nd power times 5 to the 2nd power.
exponential form of 154034
Answer:
1.54034×10^5
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. -16x^2+129x+119
Answer:
8.90 seconds
Step-by-step explanation:
When the rocket hits the ground, its height ( y ) will be zero. This means we can write the equation as:
0 = -16x²+129x+119So we need to solve that equation:
a = -16b = 129c = 119x = [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a}[/tex]x₁ = -0.84
x₂ = 8.90
We discard x₁, as it is negative.
So the answer is x₂, 8.90 seconds.
use slope-intercept form to write the equation of a line that goes through the points (-1,-6) and (3,2)
Answer:
y=2x-4
Step-by-step explanation:
Se corta una manzana en 12 partes, se comen ocho partes. Qué fracción simplificada a su mínima expresión representa la cantidad de manzanas que sobra? A. 1/3 B. 1/ 8 C. 2/ 3 D.1/ 4
Answer:
A. 1/3
Step-by-step explanation:
Dado que:
una manzana se corta en 12 partes y se comen ocho partes.
La fracción de manzanas consumidas = 8/12
= 2/3
La fracción de manzanas que quedan = valor original de la manzana que se corta - la fracción de la manzana que se come
La fracción de manzanas que quedan [tex]=1- \dfrac{8}{12}[/tex]
La fracción de manzanas que quedan [tex]=\dfrac{12-8}{12}[/tex]
La fracción de manzanas que quedan [tex]=\dfrac{4}{12}[/tex]
A la fracción más baja; obtenemos = 1/3
Find the difference of (t−8)−(t+15)
Answer:
Step-by-step explanation:
(t-8)-(t+15)
t-8-t-15
t-t-8-15
-23
The value of the expression after subtraction will be;
⇒ - 23
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ (t - 8) - (t + 15)
Now,
Subtract the expression as;
⇒ (t - 8) - (t + 15)
⇒ t - 8 - t - 15
⇒ t - t - 8 - 15
⇒ - 23
Thus, The value of the expression after subtraction will be;
⇒ - 23
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2/5 ÷ 3 1/10,4 1/3 ÷ 4/7, 3 1/6 ÷ 9/10, and 5/8 ÷ 2 7/12. Could anyone help me with those problems please?
2/5 by 31/10 is 4/31 and 4 1/3 by 4/7 is 91/12 and 3 1/6 by 9/10 is 95/27 and 5/8 by 2 7/12 is 15/62.
What is BC ?
Enter your answer in the box.
BC=___units
Answer:
I'm pretty sure it would be 5x
Step-by-step explanation:
A local landscaping company charge $15 per hour to mow your yard they also charge a flat fee of $10 for gas at how many hour will it cost you.$85 for them to mow your yard
Answer:
IN 7 HOURS
Step-by-step explanation:
YOU DO 15*7+10
The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.
Answer:
x = 12 , y = 10
Step-by-step explanation:
Let x , y are two numbers.
x > y
1 ) Three times the greater is 18 times their
difference
3x = 18( x - y )
x = 6( x - y )
x = 6x - 6y
6y = 5x
y = 5x/6 ——-( 1 )
2 ) 4 times the smaller is 4 less than twice
the sum of the two
4y + 4 = 2 ( x + y )
2y + 2 = x + y
y = x -2 ——( 2 )
From ( 1 ) and ( 2 ) ,
5x/6 = x -2
( 5x /6 ) - x = -2
( 5x - 6x ) /6 = -2
-x = -12
x = 12
Put x = 12 in equation ( 2 ) , we get
y = 12 - 2
y = 10
Therefore ,
x = 12 , y = 10
please help me with these 2 questions, please show work
Answer:
5x - 4 = 11
1/2x + 15 = 9
Step-by-step explanation:
I dont exactly know how u would show work.
If it says something is less than a number, then it will be at the back of the equation. So skip that part and u will see it says five times a number. The number is unknown therefore it will a variable (i chose x to be the variable). 5 times x is 5x. Minus the 4 would be 5x - 4. Then it says the equation equals 11. So 5x - 4 = 11.
If it says something is more than a number, it can be on either side of the equation using the commutative property of addition. But if we want to consider it being like subtraction, then it also will be in the back of the equation. A half is one over two (1/2). A half of x is 1/2x. Plus the 15 would be 1/2x + 15. It then states that the equation equals 9. So 1/2x + 15 = 9.
ANSWER IT PLS I NEED HELP :(
Answer: no solutions
Rearrange x = 7y - 5 to make y the subject.
By rearranging x = 7y - 5 to make y the subject, we get
x + 5 = 7y ( By transposition method )
or, [tex] \huge \purple {\tt {\frac{x + 5}{7} = y}} [/tex]
Answer:[tex] \huge \pink {\tt {y = \frac{x + 5}{7}}} [/tex]
The equation x = 7y - 5 can be rearranged as y = x/7 + 1/7 after making the subject as y.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
x = 7y - 5
To make the subject as y:
x + 5 = 7y
Or
7y = x + 5
y = 1/7[x + 5]
y = x/7 + 1/7
Thus, the equation x = 7y - 5 can be rearranged as y = x/7 + 1/7 after making the subject as y.
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PLS HELP ILL MARK BRAINLEST
Answer:
the answer is b
Step-by-step explanation:
4*4=16, 16+6=22, making b correct
The equation y-3=-2(x+5) is written in point-slope form. What is the y-intersept of the line?
A= -13
B= -7
C= 2
D= 8
Answer:
The correct answer would be B! -7
I WILL MARK BRAINLIEST! I NEED HELP ASAP! Solve for x, y, and a.
Answer:
a = 14, x = 55, y = 60
Step-by-step explanation:
a: Find the number that is between 10 and 18, 10 + 18 = 28 divide by 2 = 14, so a = 14
x: Due to corresponding angles theorem, so x = 55 degrees
y: Straight line is 180 degrees, and as we can see at the left side of the image there's a straight line where only 55 degrees was identified so 180 - 55 = 125 and since x = 55 degrees due to corresponding angles, the angle above y is 120 also due to corresponding angles. A quadrilateral is 360 degrees, so:
125 + 55 + 120 + y = 360
180 + 120 + y = 360
300 + y = 360
y = 60
Is each number a solution of y - 5 > 12
Answer:
Not sure what exactly you're asking here but if you want to solve for Y, you add 5 to both sides. The answer for that is Y > 17.
Step-by-step explanation:
Find the missing number. Enter your answer.
80
х
?
=
640
Answer:
8
Step-by-step explanation:
640/80=8
8*80=640
Answer:
The answer is 8.
Step-by-step explanation:
80x=640
80x /80 = 640 /80
x=8
8x - 3(x - 1) = 2x + 6 solve for x and show work
Answer:
x= 1
Step-by-step explanation:
open brackets first
8x - 3x + 3 = 2x + 6
Calculate
5x+3= 2x+6
transpose the like terms
5x-2x= 6-3
calculate
3x= 3
x= 3/3
x= 1
Answer:
x = 3
Step-by-step explanation:
8x - 3(x - 1) = 2x + 6
simplify
8x - 3x + 3 = 2x + 6
add like terms
5x + 3 = 2x + 6
subtract 2x from both sides
3x + 3 = 6
subtract 3 from both sides
3x = 3
divide by 3
x = 3
What two numbers can you ADD to = 9
and MULTIPLY to = -36
A. -3 + 12 and (-3)(12)
B. -2 + 18 and (-2)(18)
C. -1 + 36 and (-1)(36)
Answer:
a
Step-by-step explanation:
the answer is a because adding -3 to 12 will make 9 and -3 × 12 is -36.