Answer:
39.35 sec
Step-by-step explanation:
Given that:
The winning time is represented by the function:
T = 46.97 - 0.099x
Where x = year ; x = 0 corresponding to 1920
According to the formula, what was the winning time in 1997?
first find the value of x;
x = 1997 - 1920 = 77 years
Nowing plugging the value of x in the function :
T = 46.97 - 0.099(77)
T = 46.97 - 7.623
T = 39.347 seconds
T = 39.35 s
Find the volume of the given shapes. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
5.
volume=l×w×h=8×6×7=336 mi³
6.
diameter=16 yd
radius=16/2=8 yd
[tex]volume=\frac{4}{3} \pi \times 8^3=\frac{2048}{3} \pi \approx 2144.67 \approx 2144.7 yd^3[/tex]
The sum of Rhonda and her daughter Tenica’s age is 64. The difference in their ages is 28. How old is each person?
Answer:
The mother (Rhoda) is 46 years old.
The daughter (Tenica) is 18 years old
Step-by-step explanation:
Let the age of the mother (Rhoda) be m
Let the age of the daughter (Tenica) be d.
The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:
m + d = 64 ... (1)
The difference in their ages is 28. This can be written as:
m – d = 28 ... (2)
From the above illustrations, the equation obtained are:
m + d = 64 ... (1)
m – d = 28 ... (2)
Solving by elimination method:
Add equation 1 and 2 together
. m + d = 64
+ m – d = 28
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
2m = 92
Divide both side by 2
m = 92/2
m = 46
Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1
m + d = 64
m = 46
46 + d = 64
Collect like terms
d = 64 – 46
d = 18
Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.
Which expression is equivalent to -3+(-9)?
O 3+ (-9)
0 –9 – (-3)
Submit Answer
0-3 – (-9)
0-3 - 9
Answer:
-3-9
Step-by-step explanation:
+(-) = -
Show that the rational numbers -15/35 and 4/(-6) are not equal?
Answer:
-15÷35 is different from 4÷-6
Step-by-step explanation:
-15÷35=-3/7
4÷-6=-2/3
-3/7 is different from -2/3
In the figure shown, what is the measure of angle x? (5 points) 115 degrees 130 degrees 145 degrees 150 degrees
Answer:
x=115
Step-by-step explanation:
180 - (115) =65(triangle)
65 + x = 180(on a line)
x=180-65
x = 115
Answer:
115 degrees
Step-by-step explanation:
the person above me is right, but there is an easier way.
Just add 50 and 65 degrees and boom you have your answer.
Tres amigos quieren abrir una empresa dedicada al reciclaje de plasticos. Para eso deben contar con $72.000. Uno de los amigos aporto 1/3 de dinero necesario para abrirla, el segundo aporto una cantidad equivalente a los 5/6 del resto.¿cuanto dinero aporto el tercer amigo?¿Cual de los tres hizo el mayor aporte?¿cuanto mas puso en relación con que el que aporto menos?
Answer:
a) ¿cuanto dinero aporto el tercer amigo?
= $ 8,000
b) ¿Cual de los tres hizo el mayor aporte?
El segundo amigo hizo la mayor contribución.
c)¿cuanto mas puso en relación con que el que aporto menos?
El tercer amigo hizo la menor contribución
Step-by-step explanation:
De la pregunta, se nos dice:
Dinero total requerido: $ 72,000
El primer amigo contribuyó: 1/3 si el dinero era necesario
Por lo tanto, el primer amigo contribuyó:
1/3 × $ 72 000 = $ 24 000
El segundo amigo contribuyó con 5/6 del resto
La fracción que representa el resto = 1 - 1/3 = 2/3
Por lo tanto, el segundo amigo contribuyó = 5/6 de 2/3 = 5/6 × 2/3 = 5/9
La fracción de la cantidad de dinero que contribuyó el segundo amigo = 5/9
Por lo tanto, la cantidad que contribuyó el segundo amigo =
5/9 × $ 72 000 = $ 40 000.
a) ¿cuanto dinero aporto el tercer amigo?
Esto se calcula como:
$ 72,000 - ($ 24,000 + $ 40,000)
$ 72 000 - $ 64 000
= $ 8,000
Por lo tanto, el tercer amigo aportó $ 8,000.
b) ¿Cual de los tres hizo el mayor aporte?
Del cálculo anterior:
El primer amigo = $ 24,000
Segundo amigo = $ 40,000
Tercer amigo = $ 8,000
Por tanto, el segundo amigo hizo la mayor contribución.
c) ¿cuanto mas puso en relación con que el que aporto menos?
Del cálculo anterior:
El primer amigo = $ 24,000
Segundo amigo = $ 40,000
Tercer amigo = $ 8,000
Por lo tanto, el tercer amigo hizo la menor contribución.
3-2y-1+5x^2-7y+7+4x^2
Answer: Hi!
The only thing we can do to simplify the equation is combine like terms.
5x^2 + 4x^2 = 9x^2
-2y - 7y = -9y
3 - 1 + 7 = 9
Our equation now looks like this:
9x^2 - 9y + 9
We have nothing left to simplify, so we're done!
Hope this helps!
Translate the following phrase into an algebraic expression. use the variable n to represent the number. 4 less than triple a number
Work Shown:
n = a number, aka a placeholder for a number
3n = triple a number
3n-4 = four less than triple a number
So whatever n is, we multiply by 3 and then subtract off 4.
As an example, if n = 12, then 3n-4 = 3*12-4 = 36-4 = 32.
The following ordered pairs represent a function: {(-3, 1), (1, -2), (3, 0), (4, 5)}.
True or False
Answer:
false
Step-by-step explanation:
this is because there is no function of an unknown in this set
simplify 5 x 5^2 in index form
Answer:
5x(25)
Step-by-step explanation:
A soccer team has 18 players. 5 of the players have scored at least 4 goals this season. Approximately what percent of the players have scored
at least 4 goals?
Select the best answer from the choices provided.
O A. 1596
OB.
30%
Ос.
6096
D
7596
Answer:30%
Step-by-step explanation:you divide 18 by 100 and then multiply that by 30 and it gives you 5.4 which is close to 5 players. So 30% is the answer
from a group of 25 men,12 were to be given gifts.What is the probability of choosing a man who did not a gift
Answer:
13/25
Step-by-step explanation:
When you subtract 12 from 25, you get 13. So, 13 men did not get a gift.
Hence,
the probability would be 13/25 of the men who did not get a gift.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Evaluate the function below at x=5. Then, enter your solution. f(x)=3(2)^x
Answer:
Solution: f(5) = 96
Step-by-step explanation:
f(5) = 3(2)^5
f(5) = 3 (2 × 2 × 2 × 2 × 2)
f(5) = 3 (32)
f(5) = 96
Teresa earns $8.23 per hour. Calculate her wage for a week where she
works 14h 30min.
Answer:
$119.335
Step-by-step explanation:
8.23 per hour
14h 30 mins = 14.5 hrs
8.23*14.5 = 119.335
Answer:
238.67
Step-by-step explanation:
Need help will give good rating.
Answer:
the third one is correct
Answer:
Step-by-step explanation:
dlklf,vkvkdcñclcdliffoWinnie is 10 years younger than her boss Greg. In 8 years, Winnie will be half as old as Greg will be then. How old is Greg now?
Answer:
12
Step-by-step explanation:
In 8 years, the difference in their ages will still be 10 years. If Winnie is half as old as Greg then, Greg will be 20 in 8 years (and Winnie will be 10).
Greg is 12 years old now.
___
Winnie is 2 years old now.
x + 12 = 6 what is the answer
Answer:
-6
Step-by-step explanation:
x + 12 = 6
- 12 - 12
so
12-12=0
6-12=-6
put into equation
x + 0 = -6
x = -6
HELP ILL MARK YOU BRANLIEST!!!! 40POINTS!! What is the sign of the product (3)(−25)(7)(−24)? Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Answer:
the sign is positive
Step-by-step explanation:
to negatives make a positive.
and that last point you added is wrong two positives equals a positive.
different signs= negative
same signs=positive
What are the irrational numbers between minus 12 and plus 49
Answer:
First, an irrational number is a number that has infinite digits after the decimal point, in such way that those digits do not form any pattern.
The irrational set is called a dense set, wich means that in between two elements of the set, we can find infinite other elements of the set.
For example, between 1 and 2, we have
1.12312412513513532....
1.123224124312432432....
and between those two numbers, we can find infinite irrational numbers, and so on.
Then between -12 and +49, we have infinite irrational numbers.
Simplify.
-4a(3a - 6)
First change the -6 to plus a negative 6.
Then distribute the -4a through the parentheses.
So we have -4a(3a) + -4a(-6).
Remember that -4a(3a) is -12a² and -4a(-6) is 24a.
So the answer is -12a² + 24a.
Answer:
-12a^2 +24a
Step-by-step explanation:
-4a(3a - 6)
Distribute
-4a*3a -4a * -6
-12a^2 +24a
Rebecca is saving money to purchase a laptop, which costs $1,099.51. She has already saved $354.20 and plans to continue
saving $50.60 per week. Which inequality could be used to find w, the number of weeks that Rebecca must save in order to
purchase the laptop?
OA $354.20 + $50.60w < $1,099.51
OB. $354.20w+ $50.60 $1,099.51
OC $354.20 + $50.60w< $1,099.51
OD. $354.20 + $50.60w $1,099.51
Answer:
354.20 + 50.60w ≥ 1099.51
Step-by-step explanation:
354.20 + 50.60w ≥ 1099.51
Solve the equation 1) 4.3^x+1 = 27+9^x
2) 3^x+5= 3^x+3+8/3
Answer:
Step-by-step explanation:
4*3^x+1=27+(3^2)^x
(3^2)^x=(3^x)^2
3^x=t
4t+1=27+t^2
t^2-4t+27-1=0
t^2-4t+26=0
delta=4^2-4*1*26=16-84=-68<0
the equation has not real solutions
What percent of 500 is 125
Answer:
25%
Step-by-step explanation:
125 of 500 can be written as: 125 /500
To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100.
125 /500 × 100 /100
= ( 125 × 100/ 500 ) × 1 /100 = 25 /100
Answer:
25%
Step-by-step explanation:
Of means multiply and is means equals
P *500 = 125
Divide each side by 500
P = 125/500
P = .25
Change to percent form
P = 25%
Kim is buying an equal number of ounces of gummy bears and chocolate drops for her friends. Kim has $10 to spend at the store. If gummy bears cost $0.50 per ounce and chocolate drops cost $0.75 per ounce, how many ounces of each type of candy can she buy?
Answer:
she can buy 13.333 repeating ounces (13 as a full number) of chocolate drops or 20 ounces of gummy bears.
Step-by-step explanation:
take the amount of money you have, $10 and divide that by the price per ounce $10÷.5=20
Answer:
8 ounces
Step-by-step explanation:
Imagine X is the number of ounces she can buy for each type
.5 (x) the gummy and .75 (x) the chocolage = 10
combine like terms.
1.25 (X) = 10
X = 8
.5 (8) + .75(8) = 10
4+ 6 = 10
A box contains 20 oranges and 10 grapes what is the probability of picking a grape from the box?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's find how many total items there are in the box.
If there are 20 oranges and 10 grapes, then there are [tex]20+10=30[/tex] items in the box.
Now, if there are 10 grapes in this box, we know that the probability of picking a grape is [tex]\frac{10}{30}[/tex] because the total is the denominator and the number of items for that selection is the numerator.
We can simplify this fraction down to [tex]\frac{1}{3}[/tex].
Hope this helped!
Answer:
1/3
Step-by-step explanation:
what is square root of the product of the number z and itself
Answer:
[tex]\large\boxed{z}[/tex]
Step-by-step explanation:
What is square root of the product of the number z and itself?
Break down into smaller parts
What is the product of the number z and itself?
Product = multiply
Write an equation multiplying z by itself
z * z
Bring back the full question: What is the square root of the product of the number z and itself?
Now we can just add a [tex]\sqrt{}[/tex] to the front of our equation to solve the problem.
[tex]\sqrt{z * z}[/tex]
Simplify
z * z = [tex]z^{2}[/tex]
[tex]\sqrt{z^{2} }[/tex]
In this case, the square root cancels out the exponent ([tex]z^{2}[/tex]), so [tex]\sqrt{z^{2} }[/tex] can simplify to z.
Hope this helps :)
Please help! Find the surface area of the composite figure
Answer:
Step-by-step explanation:
area of base=6×6=36 m²
surface area of four walls=4×6×12=144 m²
area of top= area of four triangles=4×1/2×6×5=60 m²
total surface area=36+144+60=240 m²
Is the relation a function?
Answer:
Yes it's a function
Step-by-step explanation:
HELP ASAP YOU WILL GET BRAINLEIST AND I WILL THANK AND RATE 5 IF RIGHT
Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How m. any units away is the farther person from Robert? 3 minutes ago Let f and g be inverse functions. Find f(g(8)).
Answer: Liz is further away. Her distance from Robert is 5 units.
=================================================
Work Shown:
R = Robert's location = (4,3)
L = Lucy's location = (6,1)
Z = Liz's location = (1,7)
We need to find the lengths of segments RL and RZ to find out which person (Lucy or Liz) is further from Robert.
Use the distance formula to find the length of each segment. Let's start with the distance from R to L
[tex]d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-6)^2+(3-1)^2}\\\\d = \sqrt{8}\\\\d \approx 2.828427\\\\[/tex]
The distance from Robert to Lucy is approximately 2.828427 units.
--------------
Now find the distance from R to Z
[tex]d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-1)^2+(3-7)^2}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
The distance from Robert to Liz is exactly 5 units. We see that Liz is further away from Robert, compared to Lucy's distance from him.
ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC
All sides are equal in an equilateral triangle and the perpendicular bisects the side too.
so BC will be bisected and the segments be 5 each.
you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.
[tex] 5^2+h^2=10^2[/tex]
$h^2=100-25=75$
$h=\sqrt{75}=5\sqrt3$