Answer:
225
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
7.50 times 30 = 225
1. Christina drew a scale model of an Olympic-size swimming pool using a
scale in which 3 centimeters represents 10 meters. If the length of the
pool in her drawing is 15 centimeters, what is the length of the actual
pool?
4,5 m
D 150 m
Answer: 4,5
Step-by-step explanation:
The actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
Christina drew a scale model of an Olympic-size swimming pool using a scale in which 3 centimeters represents 10 meters.
Thus, the scale factor is for cm to m,
[tex]r=\dfrac{3}{10}\rm[/tex]
The length of the pool in her drawing is 15 centimeters. Let the length of the actual pool is x cm. Thus,
[tex]\dfrac{15}{x}=\dfrac{3}{10}\\x=50\rm \; m[/tex]
Thus, the actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.
Learn more about the scale factor here;
https://brainly.com/question/10253650
i need help finding the y-intercept
Answer: (0, -7)
Step-by-step explanation:
y = mx + b
Where m is slope and b is y-intercept
y = 2x + b
One point that passes through the line is (5,3), which means that x = 5 and y = 3
3 = 2(5) + b
3 = 10 + b
b = -7
(0, -7) is the y-intercept
Using this info you can find the equation of the line
:)
I need a little help here please
Answer:
ughhh i think c im not so sure though
Step-by-step explanation:
Help please. I need this in a few minutes
Answer:
Step-by-step explanation:
Which angles are vertical angles?
2 and 4
1 and 5
2 and 5
2 and 3
Select the end behavior of the exponential function shown in the graph
Answer:
The x graph
Step-by-step explanation:
The x graph
Answer: D
Step-by-step explanation:
1. Se dispara una bala de 10grbcon una velocidad de 500m/s contra un muro de 10cm de espesor. Si la resistencia del muro al avance de la bala es de 3000 N, calcula la velosidad calcula la velocidad de la bala después de atravesar el muro. 2. Un automóvil de 1000kg de masa aumenta su velosidad de 0 a 100 km/h en un tiempo mínimo de 8s calcula su potencia en watios y en caballos de vapor. Dato : 1cv = 735w. 3. Desde una altura de 10m deja caer un cuerpo de 5kg. Calcula su velocidad al llegar al suelo
Answer:
1) La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.
2) La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.
3) La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.
Step-by-step explanation:
1) La velocidad final de la bala puede determinarse mediante el Teorema del Trabajo y la Energía, a partir del cual se tiene la siguiente fórmula:
[tex]\frac{1}{2}\cdot m\cdot v_{o}^{2} -F\cdot \Delta s = \frac{1}{2}\cdot m \cdot v_{f}^{2}[/tex] (1)
Where:
[tex]m[/tex] - Masa de la bala, en kilogramos.
[tex]v_{o}, v_{f}[/tex] - Velocidades inicial y final de la bala, en metros por segundo.
[tex]F[/tex] - Resistencia del muro al avance de la bala, en newtons.
[tex]\Delta s[/tex] - Espesor del muro, en metros.
Si sabemos que [tex]m = 0,01\,kg[/tex], [tex]v_{o} = 500\,\frac{m}{s}[/tex], [tex]F = 3000\,N[/tex] and [tex]\Delta s = 0,1\,m[/tex], entonces la velocidad final de la bala es:
[tex]v_{f}^{2}=v_{o}^{2} -\frac{2\cdot F\cdot \Delta s}{m}[/tex]
[tex]v_{f} = \sqrt{v_{o}^{2}-\frac{2\cdot F\cdot \Delta s}{m} }[/tex]
[tex]v_{f} \approx 435,890\,\frac{m}{s}[/tex]
La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.
2) Asumamos que el automóvil acelera a tasa constante, significando que la fuerza neta será constante. Para un sistema cuya fuerza neta sea constante, la potencia experimentada queda descrita por la siguiente ecuación:
[tex]P = m\cdot a(t)\cdot v(t)[/tex] (2)
[tex]a(t) = a[/tex] (3)
[tex]v(t) = v_{o} + a\cdot t[/tex] (4)
Donde:
[tex]P[/tex] - Potencia, en watts.
[tex]m[/tex] - Masa del automóvil, en kilogramos.
[tex]a(t)[/tex] - Aceleración, en metros por segundo al cuadrado.
[tex]v(t)[/tex] - Velocidad, en metros por segundo.
[tex]v_{o}[/tex] - Velocidad inicial del automóvil, en metros por segundo.
Si sabemos que [tex]m = 1000\,kg[/tex], [tex]a = 3,472\,\frac{m}{s}[/tex], [tex]v_{o} = 0\,\frac{m}{s}[/tex] y [tex]t = 8\,s[/tex] entonces la potencia experimentada por el automóvil es:
[tex]P = 96438,272\,W[/tex] ([tex]131,208\,C.V.[/tex])
La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.
3) El cuerpo experimenta un Movimiento de Caída Libre, el cual es un Movimiento Uniformemente Acelerado debido a la gravedad terrestre. La velocidad del cuerpo al llegar al suelo se determina mediante la siguiente fórmula cinemática:
[tex]v_{f} = \sqrt{v_{o}^{2}+2\cdot g\cdot h}[/tex] (5)
Donde:
[tex]v_{o}[/tex] - Velocidad inicial del cuerpo, en metros por segundo.
[tex]v_{f}[/tex] - Velocidad final del cuerpo, en metros por segundo.
[tex]g[/tex] - Aceleración gravitacional, en metros por segundo al cuadrado.
[tex]h[/tex] - Altura recorrida por el cuerpo, en metros.
Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]g = 9,807\,\frac{m}{s^{2}}[/tex] y [tex]h = 10\,m[/tex], entonces la velocidad al llegar al suelo es:
[tex]v_{f} \approx 14,005\,\frac{m}{s}[/tex]
La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.
21 years ago Alvin was 11 times older than Tomio. The sum of their present age is 54.
Answer:
Not sure exactly what answer you are looking for. But I assume it is the ages of them. Their original ages would be Tomio - 1 year old, Alvin - 11 years old. Now, Tomio - 22, Alvin - 32
Step-by-step explanation:
1(tomio) x 11 = 11 (alvin) (add 21 to these)
22+32=54
hope that makes sense
Each cube inside the rectangular prism has an edge length of (3)/(4) inch. What is the volume of the rectangular
The graph shows a line and two similar triangles. What is the equation of the line? y = 3 x y = one-third x y = one-third x + 2 y = 3 x + 2
CONCEPTO
Una ecuación es una igualdad matemática entre dos expresiones, denominadas miembros y separadas por el signo igual, en las que aparecen elementos conocidos y datos desconocidos o incógnitas, relacionados mediante operaciones matemáticas
------------------------------------------------------------------------Igualdad entre dos expresiones que contiene una o más variables."ecuación de segundo grado"Igualdad o paralelismo entre dos o más cosas.Calculate the area of the composite figure, which is
not drawn to scale.
488cm² is your answer
Step-by-step explanation:
the area of the composite figure=area of rectangle +area of triangle
=l×b+1/2 b×h=17×22+1/2×{22-10}×19 =488cm²
Sarah drove 420 miles in 6 hours. Jonathan drove the same distance going an average of 60 miles per hour throughout the entire trip.
Who was driving faster and by how much?
Answer:
Sarah was driving faster by 10 mph.
She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.
En un estudio estadistico se van a usar unicamente variables cuantitativas discretas para ingresarlas a un programa de analisis estadistico. la variable que se debe ingresar en el programa corresponde a: a nacionalidad b nivel de escolaridad c edad d altura
Answer:
la variable que se debe ingresar en el programa corresponde a: c. edad
Step-by-step explanation:
Las variables cuantitativas son aquellas que toman valores numéricos y se clasifican en variables cuantitativas discretas que son las que sólo pueden asumir un número limitado de valores en un determinado rango, como por ejemplo, el número de carros que posee una persona y variables cuantitativas continuas que pueden tomar cualquier valor en un rango específico, como por ejemplo, el peso de un objeto. De acuerdo a estas definiciones, la respuesta es que la variable que se debe ingresar en el programa corresponde a: edad porque es una variable discreta dado que se registra en números enteros y no acepta cualquier valor en un intervalo específico.
Las otras opciones no son correctas porque la nacionalidad y el nivel de escolaridad no son variables cuantitativas y la altura es una variable cuantitativa continua.
It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road for hour. Then she drives 56 mph on a highway for hour. How far does Carol travel to work?
Complete question :
It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road 1/2 for hour. Then she drives 56 mph on a highway for 1/4 hour. How far does Carol travel to work?
Answer:
26 miles
Step-by-step explanation:
The distance traveled is given by :
Distance = speed * time
Distance covered on small road :
24 mph * 1/2 hours = 12 miles
Distance covered in highway :
56 mph * 1/4 hours = 14 miles
Total miles traveled = 12 + 14 = 26 miles
can someone help me please ❤️
Answer:314
Step-by-step explanation:
V=pi r squared
V= 3.14x10 squared
10 squared= 100
V=3.14x 100
V= 314
Please Help WILL MARK BRAINLIEST
18 Points
Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her jump distance.
Month Vertical Jump in inches
0 16
2 17
4 18
6 19
f of x equals one half times x plus 16
f of x equals one half times x plus 19
f(x) = 2x + 16
f(x) = 2x + 19
Answer:
Part 1) Option A. f of x equals one half times x plus 16
Part 2) Option A. x = 5
Part 3) Option C. x − 4y = −9
Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.
Step-by-step explanation:
Part 1)
Let
x -----> the number of months
y ----> vertical jump in inches
step 1
Find the slope
we have the points
(0,16) and (2,17)
The equation of the line in slope intercept form is
we have
-----> the point (0,16) is the y-intercept
substitute
convert to function notation
f(x)=y
Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?
step 1
Find the slope
we have the points
(5, 0) and (5, −2)
the slope is undefined
This is a vertical line (parallel to the y-axis)
therefore
The equation is
x=5
Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)
step 1
Find the slope
we have the points
(−1, 2) and (3, 1)
step 2
Find the equation of the line into point slope form
we have
substitute
Convert to standard form
Multiply by 4 both sides to remove the fraction
Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario
we know that
The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)
The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))
Let
x ----> the number of rides
y ----> the total cost in dollars
In this problem
The independent variable or input is the number of rides
The dependent variable or output is the total cost
-brainly user
Answer:
Your function would be y = 1/2x + 16.
Explanation:
Points: (0, 16); (2, 17)
Slope: m = (17 - 16) / (2 - 0) = 1/2
Slope intercept form: y = mx + b
So, if the slope equals 1/2 and the y-intercept is (0, 16), you would use substitution to get y = 1/2x + 16.
Therefore, your ending function is y = 1/2x + 16.
Out of the 400 students surveyed,
-how many more students chose Mr.
Crosby than Ms. Smokey?
Favorite Teacher
Answer:
60 more students
Step-by-step explanation:
400 × 0.3 (30%) = 120
400 × 0.15 (15%) = 60 = 120÷2
120 -- 60 = 60
60 more students
brainliest plz if someone else answers
Please help with range
Answer:
i think the one u have is right
Step-by-step explanation:
range is the smallest number to the largest, so the last one is right. hope this helps!
A bubble may be enclosed in a square whose side
length is equal to the bubble's diameter. Four bubbles
in squares collide and merge into one large bubble in
a square. The area of the large bubble is equal to the
sum of the areas of the small bubbles. How is the side
length of the large square related to the side length of
one small square?
Assume 1 small bub side = 2cm
area = 2 × 2
= 4 cm²
total area of small bub
4 × 4 = 16cm²
area of big bub = total area of small bub
= 16cm²
one side of big bub
16 ÷ 4 = 4
1 small bub side : 1 big bub side
2 : 4
1 : 2
the side length of the large square is 2 times bigger than the side length of one small square.
Find the perimeter of the figure.
Answer:
24 in
Step-by-step explanation:
Perimeter = 9 + 5 + 1 + 5 + 4 = 24 in
Hope that helps!
Part C: If HI = 7, find KL. Show your work.
Answer:
KL= 14
Step-by-step explanation:
4*2=8
5*2=10
7*2=14
What value of x makes the equation 5(4x - 1)=4(2.5x+8) true?
need help asap ?
Answer:
37/10
( I hope this was helpful) >;D
Pythagorean therom HELPOP
Answer:
its 12
Step-by-step explanation:
The number of days, d, required to complete a job varies inversely as the number of workers, w, on the job.
If it takes 9 days for 8 workers to complete a job, then how many workers would it take to do the job in 18 days?
Answer:
4
Step-by-step explanation:
this one is an easy relationship- if you have double the time (18 vs9), then you need half the workers (8/2)
If Lucas runs 5 miles in 38 minutes, what is his unit rate per minute?
Answer:
1 mile every 7.6 min
Step-by-step explanation:
Answer:
7.6 minutes per mile
Step-by-step explanation:
38 divided by 5 equals to 7.6
To get the correct color, Johan mixed 3 1/4 quart of white paint, 1 2/4 quart of blue paint, and 2 3/4 quart of green paint. How much paint did Johan make? * answer to this problem hat is what i need
Answer:
7 1/2 quart of paint
Step-by-step explanation:
To get the correct color, Johan mixed 3 1/4 quart of white paint, 1 2/4 quart of blue paint, and 2 3/4 quart of green paint. How much paint did Johan make? *
The above question is solved as:
3 1/4 quart + 1 2/4 quart + 2 3/4 quart
Lowest common denominator = 4
3 + 1 + 2 + ( 1/4 + 2/4 + 3/4)
= 6 + ( 1 + 2 + 3/4)
=( 6 + 6/4) quart
= 6 + 1 2/4 quart
= 7 2/4 quart of paint
= 7 1/2 quart of paint
Therefore, Johan made 7 1/2 quart of paint
Algebra 1
help please!
Answer:
b
Step-by-step explanation:
Sorry this isn't the answer, I could give it to you but I know a website that would help you better and I don't feel like opening my laptop but desmos would be great for this if you don't already use it
Step-by-step explanation:
But you put the (2,4) in a box and the (-6,5) in another box and the answer will be where they connect like in and x
Lexi and Ann went shopping. Ann wondered how much tax she would have to pay on her purchase of $76. Lexi said, "They just charged me $17 in taxes when I bought these outfits for $200." How much will Ann pay in taxes?
Ann will pay in taxes on her purchase of $76, if Lexi paid a charge of $17 in taxes when she bought these outfits for $200, is $6.46.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
Lexi paid a charge of $17 in taxes when I bought these outfits for $200,
Calculate the charge in one dollar = 17 / 200
Now, calculate the charge for $76 dollar = 17 / 200 × 76
The charge for $76 dollar = $6.46
To know more about division:
https://brainly.com/question/27566440
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A recipe that will serve 15 people requires 3/4 cup of chopped green peppers. If this recipe is changed to serve 8 people, what amount of chopped green peppers will be needed?
2/5 cup
32/45 cup
45/32 cups
5/2 cups
Answer:
2/5 cups
Step-by-step explanation:
(3/4)*8=6
6/15= 2/5
Find the measure of Angle C. thanks!!
Answer:
Use the formula for the trapeze
Step-by-step explanation:
Answer:
∠ C = 88°
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral sum to 180°, then
8x - 4 + 7x + 4 = 180 , that is
15x = 180 ( divide both sides by 15 )
x = 12
Then
∠ C = 7x + 4 = 7(12) + 4 = 84 + 4 = 88°