7850 ft²
Step-by-step explanation:Hi there !
d = 2r => r = d/2 = 100ft/2 = 50 feet
A = πr²
= 3.14×(50ft)²
= 3.14×2500ft²
= 7850 ft²
Good luck !
a father was 25 years older than his son five years ago. if the product of the son and his father's ages then was 900 years. how old is the son now.
Answer:
25
Step-by-step explanation:
Let x represent the son's age now. 5 years ago, it was x-5, and the father's age was (x -5)+25 = (x+20).
The product of their ages at that time was 900, so we have ...
(x -5)(x +20) = 900
x^2 +15x -100 = 900
x^2 +15x -1000 = 0 . . . . subtract 900
(x +40)(x -25) = 0 . . . . factor
x = -40 or +25 . . . . these values make the factors zero
The son's age now is 25.
Helppppppppppppppppp
Answer: x = 145
The angle x and 145 are vertical angles which are always congruent. Vertical angles are formed when you cross two lines. Vertical angles are always opposite one another in such a configuration.
What are the square roots of 81? Check all that apply.
A. |9|
B. 9.5
C. 3
D.-9
E. 9
F. -3
Answer:
E,and 3
Step-by-step explanation:
Hope that helped.
Answer:
A. |9|, D.-9, E. 9
Step-by-step explanation:
.................
The numerical values of the area and the perimeter of a square field are in the ratio 5:2, while that of a square park are in the ratio 3:1. What is the positive difference between their areas?
Answer:
44
Step-by-step explanation:
If side = a
Then:
A = a², P = 4a for area and perimeterA/P = a²/4a = a/4 for are/perimeter ratioThe first case:
a/4 = 5/2 ⇒ 2a = 20 ⇒ a = 10 ⇒ a² = 100The second case:
a/4 = 3/1 ⇒ a = 12 ⇒ a² = 144Difference between areas:
144 - 100 = 446. A chemist wishes to make 5 liters of an 7% acid solution by mixing a 10% acid
solution and a 5% acid solution. How many liters of each solution the chemist have to
use? Make a table with relevant quantities and show all steps.
Answer:
The chemist will mix 3 liters of the 5% acid solution and 2 liters of the 10% acid solution to get 5 liters of 7% acid solution
Step-by-step explanation:
Here, we are interested in finding the number of liters of each solution the chemist have to make use;
Let the number of liters of the 5% acid solution be x while the number of liters of the 10% acid solution be y
Mathematically;
x + y = 5 •••••••••(i)
Also, let’s work with the percentages now
( x * 5%) + (y * 10%) = (5 * 7%)
0.05x + 0.1y = 0.35 ••••••••(ii)
From i , x = 5-y
Substitute this into ii
0.05(5 -y) + 0.1y = 0.35
0.25 - 0.05y + 0.1y = 0.35
0.25 + 0.05y = 0.35
0.05y = 0.35 -0.25
0.05y = 0.1
y = 0.1/0.05
y = 2
But x + y = 5
x + 2 = 5
x = 5-2
x = 3
What type of sequence is the following numbers? 2.5, 5, 10, ...
Answer
*2
Step-by-step explanation:
Use the general solution to solve 5 – 6x = 8x + 17.
Answer:
8x+6x=14x
5-17= -12
divide both sides by 2
7x= -6
divide by 7
you get x= -6 over 7
Step-by-step explanation:
Answer:
x= -6/7
Step-by-step explanation:
1. 5 - 17 = 8x + 6x
2. -12 = 14x
3. x= -6/7
solve for x x/4=3 help meh plz
Answer:
x = 12
Step-by-step explanation:
simplify both sides of the equation and isolate the variable
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 12}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{x}{4} = 3}[/tex]
Do cross multiplication
[tex] \longrightarrow{ \sf{x = 3 \times 4}}[/tex]
Multiply the numbers : 3 and 4
[tex] \longrightarrow{ \sf{x = 12}}[/tex]
Hope I helped!
Best regards! :D
A dealer advertises that a certain brand of tire averages 50,000 miles of use before needing to be replaced. Testing this claim, an investigator finds that a sample of 19 randomly selected tires from this dealer had an average lifespan of 48,700 miles with a standard deviation of 4,500 miles. Assume tire life spans are approximately normally distributed. At the α = 0.05 level, find if the investigator can prove the dealer is exaggerating the average lifespan of their tires by performing the hypothesis test.
Answer:
100k miles
Step-by-step explanation:
Determine the account balance of a simple interest account if the principal is $10,000, the interest rate is 1.5%, and the time is 5 years.
Answer:
Capital: 2 400
Tasa: 5% = 5/100 = 1/20
Tiempo: 4 años
A) Interés = capital*tasa*tiempo
Interés = 2400*(1/20)*4
Interés = 480 soles
B) Interés = Capital*((1 + tasa)^tiempo+1)
Interés = 2400*((1 + 1/20)^4 + 1)
Interés = 2400*((21/20)^4 + 1)
Interés = 2400*(194 481/160 000 + 1)
Interés = 2400*(354 481/160 000)
Interés = 5 317,215Step-by-step explanation:
Identify the range of the function shown in the graph
Answer:
ok ill help it 00000000
Step-by-step explanation:
000
If f(x)=-3x-2, find f(-2)+9
Answer:
13
Step-by-step explanation:
Replace the variable x with -2 in the expression.
f (-2) = -3 x -2 -2
Simplify (-3 x -2 -2) + 9
Multiply -3 by -2
6 - 2 + 9
Subtract 2 from 6
4 + 9
add 4 and 9
13.
The required simplified value of the function [tex]f(-2) + 9[/tex] as is 13.
Given that,
f(x) = -3x - 2
To determine
[tex]f(-2) + 9[/tex]
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function f(x) = -3x - 2
Put x = -2 and add the function with 9
= [tex]f(-2) + 9[/tex]
= -3(-2) -2 + 9
= 6 - 2 + 9
= 13
Thus, the required simplified value of the function as [tex]f(-2) + 9[/tex] is 13.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Evaluate f(-3) when f(x) = x + 7
Steps to solve:
f(-3) = x + 7
~Substitute
f(-3) = -3 + 7
~Simplify
f(-3) = 4
Best of Luck!
algebra 2b question, please help!! much appreciated, thank you.
what types of correlations do these first two graphs of the article show? select two answer choices: one for the first graph, and one for the second graph.
- a negative correlation between time and the amount of arctic sea ice
- no correlation between time and average yearly temperature
- a negative correlation between time and average yearly temperature
- no correlation between time and the amount of arctic sea ice
- a positive correlation between time and average yearly temperatures
- a positive correlation between time and the amount of arctic sea ice
Answer:
1st graph = a positive correlation between time and average yearly temperature
2nd graph =a negative correlation between time and the amount of arctic sea ice
The first graph in the article displays the relationship between time and the amount of Arctic sea ice Therefore the correct option is A.
There seems to be a negative correlation, as the amount of Arctic sea ice decreases over time. The graph shows a consistent downward trend in sea ice levels as time progresses, suggesting that as time increases, the amount of Arctic sea ice decreases. On the other hand, the second graph illustrates the relationship between time and average yearly temperature.
There appears to be no clear correlation between these two variables. The graph shows fluctuating temperature levels with no consistent trend over time. This lack of a discernible pattern indicates that there is no correlation between time and average yearly temperature. In summary, the first graph indicates a negative correlation between time and the amount of Arctic sea ice, while the second graph suggests no correlation between time and average yearly temperature.
Hence the correct option is A.
To know more about Arctic sea ice visit:
https://brainly.com/question/29911176
#SPJ2
a rectangle has a length of 8 and a width of 4. four equal rectangles are drawn within that rectangle, creating the longest lengths possible for the rectangles. what is the sum of the perimeters of two of these equal rectangles?
Given:
A rectangle has a length of 8 and a width of 4.
Four equal rectangles are drawn within that rectangle, creating the longest lengths possible for the rectangles.
To find:
The sum of the perimeters of two of these equal rectangles.
Solution:
We have to draw 2 lines which are bisecting the length and width respectively, to divide a rectangle in 4 equal parts with longest lengths.
Half of length 8 = 4
Half of width 4 = 2
It means each rectangle have a length of 4 and a width of 2.
Perimeter of a rectangle is
[tex]Perimeter=2(length+width)[/tex]
[tex]Perimeter=2(4+2)[/tex]
[tex]Perimeter=2(6)[/tex]
[tex]Perimeter=12[/tex]
So, perimeter of each equal rectangle is 12 units.
Sum of the perimeters of two of these equal rectangles is
[tex]12+12=24[/tex]
Therefore, sum of the perimeters of two of these equal rectangles is 24.
Which is the solution set of: 5(x+3)−10x>−10?
Answer:
x<5
Step-by-step explanation:
I hope this helps you
The model at right best represents what percent?
The model is 65/100 but what is the percent of it?
Answer:
The answer would be 65%
Answering a question asked 2 months ago...
65/100 = 65%
What is the range of the function f(x) = 12 - 3x for the domain {-4, -2,0, 2, 4}?
{24, 18, 12, 6, 20)
{6, 12, 18, 24, 30}
{-12, -6, 0, 6, 12}
{0, 6, 12, 18, 24)
The correct answer is:(0,6,12,18,24)
50 kg+2.7kg for each inch over 5 feet (A) find a linear model for an estimate of the ideal weight of a woman using w for the ideal body weight ( in kilograms) and h for height over 5 feet ( in inches) W=
Answer:
W = 50 + 2.7h
Step-by-step explanation:
A function shows the relationship between two variables (the independent variable and the dependent vaariable). The independent variable is a variable that is independent of any other variable, i.e it is the input of the function while the dependent variable is dependent on other variables hence it is the output of the function.
Given that the weight of a woman is 50 kg+2.7 kg for each inch over 5 feet. If h is the height over 5 feet ( in inches), the weight (W) can be represented by:
W = 50 + 2.7h
W is in kg
what is the scale factor of triangle abc to triangle xyz
Help me please
Answer:
1/3
Step-by-step explanation:
21/1/3=7
27/1/3=9
36/1/3=12
Answer:
A:1/3
Step-by-step explanation:
Round 6.09933418366 to 4 decimal places
Answer:
6.113 i believe to be so
The decimal number is 6.0993 to 4 decimal places.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Given:
A decimal number,
6.09933418366.
To round off to 4 decimal places,
6.0993.
Therefore, the value is 6.0993.
To learn more about the decimal;
brainly.com/question/109147
#SPJ5
Find the unit rate.
56 apples in 7 boxes
Answer:
8 Apples in each box.
Step-by-step explanation:
56/7=8 Or, 7x_=56
^8 , if you start multiplying from 1-8.
A base of a parallelogram is on the x-axis and the origin is located at the left endpoint of that base. Three consecutive vertices are (h, j), (0, 0), and (k, 0), where h > 0. What is the x-coordinate of the fourth vertex?
2h
k + h
2k
Answer:
k + h
Step-by-step explanation:
Given that;
The base of a parallelogram is on the x-axis, i.e., it is on the horizontal axis.
The origin (0,0) is located to the left endpoint of the base. This is followed by (k,0) on that same horizontal baseline, now the length of the upper base must be equal to the length of the lower base, from the (k,0) endpoint, the vertical slant line leading to the upper base endpoint is (h,j).
Therefore, the x-coordinate of the fourth vertex will be k unit distant from h.
i.e k+h.
Answer:
k+h
Step-by-step explanation:
Need help with some math
Answer:
C
Step-by-step explanation:
(3)^3 - 2(5)^2 - 3(3)^3 + (-3)^4
27 - 2(25) - 3(27) + 81
27 - 50 - 81 + 81
27 - 50
-23
Kevin compró 5 libras de nueces por $50.89. ¿Cuánto fue el costo por libra?
A. $ 0.18 B. $5
C. $10 D. $10.17
Answer:
la respuesta es D
HELP PLEASE! Will give out brainliest
Answer:
i would say b but not sure
Step-by-step explanation:
hope this helps let me know if i got it wrong
3x^2 + 2x - 5 and -4 + 7x^2
Answer:
34
Step-by-step explanation:
Ay
Fonsi
DY
Oh
Oh no, oh no
Oh yeah
Diridiri, dirididi Daddy
Go
Sí, sabes que ya llevo un rato mirándote
Tengo que bailar contigo hoy (DY)
Vi que tu mirada ya estaba llamándome
Muéstrame el camino que yo voy (Oh)
Tú, tú eres el imán y yo soy el metal
Me voy acercando y voy armando el plan
Solo con pensarlo se acelera el pulso (Oh yeah)
Ya, ya me está gustando más de lo normal
Todos mis sentidos van pidiendo más
Esto hay que tomarlo sin ningún apuro
Despacito
Quiero respirar tu cuello despacito
Deja que te diga cosas al oído
Para que te acuerdes si no estás conmigo
Despacito
Quiero desnudarte a besos despacito
Firmo en las paredes de tu laberinto
Y hacer de tu cuerpo todo un manuscrito (sube, sube, sube)
(Sube, sube)
Quiero ver bailar tu pelo
Quiero ser tu ritmo
Que le enseñes a mi boca
Tus lugares favoritos (favoritos, favoritos baby)
Déjame sobrepasar tus zonas de peligro
Hasta provocar tus gritos
Y que olvides tu apellido (Diridiri, dirididi Daddy)
Si te pido un beso ven dámelo
Yo sé que estás pensándolo
Llevo tiempo intentándolo
Mami, esto es dando y dándolo
Sabes que tu corazón conmigo te hace bom, bom
Sabes que esa beba está buscando de mi bom, bom
Ven prueba de mi boca para ver cómo te sabe
Quiero, quiero, quiero ver cuánto amor a ti te cabe
Yo no tengo prisa, yo me quiero dar el viaje
Empecemos lento, después salvaje
Pasito a pasito, suave suavecito
Nos vamos pegando poquito a poquito
Cuando tú me besas con esa destreza
Veo que eres malicia con delicadeza
Pasito a pasito, suave suavecito
Nos vamos pegando, poquito a poquito
Y es que esa belleza es un rompecabezas
Pero pa montarlo aquí tengo la pieza
Despacito
Quiero respirar tu cuello despacito
Deja que te diga cosas al oído
Para que te acuerdes si no estás conmigo
Despacito
Quiero desnudarte a besos despacito
Firmo en las paredes de tu laberinto
Y hacer de tu cuerpo todo un manuscrito (sube, sube, sube)
(Sube, sube)
Quiero ver bailar tu pelo
Quiero ser tu ritmo
Que le enseñes a mi boca
Tus lugares favoritos (favoritos, favoritos baby)
Déjame sobrepasar tus zonas de peligro
Hasta provocar tus gritos
Y que olvides tu apellido
Despacito
Vamos a hacerlo en una playa en Puerto Rico
Hasta que las olas griten "¡ay, bendito!"
Para que mi sello se quede contigo
Pasito a pasito, suave suavecito
Nos vamos pegando, poquito a poquito
Que le enseñes a mi boca
Tus lugares favoritos (favoritos, favoritos baby)
Pasito a pasito, suave suavecito
Nos vamos pegando, poquito a poquito
Hasta provocar tus gritos
Y que olvides tu apellido (DY)
Despacito
Use the graph shown to fill in the blank. When x = -3, then y =
Hey there! I'm happy to help!
We basically want to see what value of y value of the line is at when it crosses x=-3.
If you go to -3 on the x-axis and draw a line straight down, you will see that you hit the line at (-3,-6), so the y value is -6.
Have a wonderful day! :D
Solve for the indicated variable. ax + r = 6 for r
Answer:
r = 6-ax
Step-by-step explanation:
[tex]ax + r = 6[/tex]
Isolate r ;
[tex]r = 6 - ax[/tex]
if JL=10x-2, JK=5x-8, and KL=7x-12, find KL
Answer:
-84
Step-by-step explanation:
multiply 7 and -12
