Answer:
[tex]\frac{28}{3}=t[/tex]
Step-by-step explanation:
[tex]\frac{4}{3}=\frac{t}{7}[/tex]
Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,
[tex](4)(7) = (3)(t)[/tex]
Simplify,
[tex]28=3t[/tex]
Inverse operations,
[tex]\frac{28}{3}=t[/tex]
pls help ! Find the value of x.
Answer:
x=48
Step-by-step explanation:
They are vertical angles.
Which statement best describes whether the function is linear or nonlinear?
Answer:
Is nonlinear because the common ratio is 3
Step-by-step explanation:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Now to this problem, if the data corresponds to a linear equation, then for any set of points we choose we should see the same slope.
For example, if we choose the first and second points:
(0,20) and (1, 60) the slope is:
a = (60 - 20)/(1 - 0) = 40/1 = 40
a = 40
Now if we choose the first and third points:
(0, 20) and (2, 180)
The slope is:
a = (180 - 20)/(2 - 0) = (160/2) = 80
So the slopes are different, which means that this function is nonlinear.
If we look at the f(x) values for the second point onwards, we can see that:
f(2) = 60
f(3) = 60*3 = 180
f(4) = 180*3 = 540
f(5) = 540*3 = 1620
and so on.
So this seems to be an exponential function with a common ratio of 3 between consecutive outputs.
Having a common ratio is not a property of linear functions, then the correct options is:
"Is nonlinear because the common ratio is 3"
1. 80% of the students on a field trip love the movie. If there are a total of 50 students on the field trip, how many love the movie?
Answer:
40 students
Step-by-step explanation:
A helpful tip I use is x% of y= y% of x
For example, 50% of 80 is 40
Boom
I need to increase the numbers of customers I talk to daily by 20% how many customers do I need to talk to if I talk to a average of 8 customers per hour during an 8 hour shift
Answer:
77 approx
Step-by-step explanation:
Given data
Number of customers talked to per hour= 8
Hence for 8 hours(a day) the number of customers talked to = 8*8= 64
We want to first find 20% of 64
=20/100*64
=0.2*64
=12.8
Hence the number of customers will be
=12.8+64
=76.8
=77 approx
Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $263.25
Enter an equation to model the relationship between the number of hours worked h and the amount earned e
The equation is:
Answer:
$9.75h=e-$263.25
Step-by-step explanation:
PLEASE ANSWER QUICKLY THX!!!!!!!!!!!!!!!!!!
Answer:
w² - 2w + 4
Step-by-step explanation:
(w² - 4w + 14) - (2w + 10) = w² - 2w + 4
pls help i dont know the answer to this
Answer:
4 1/12
Step-by-step explanation:
make all the denominators 12 so u can add them easier
2 1/12 + 2 4/12 + 3 2/12 = 7 7/12
nn subtract from the 11 2/3
11 8/12 - 7 7/12 = 4 1/12
prove that: tanA/2=(sinA/2+sinA)/1+cosA/2+cosA
please help
please
no links please
Answer:
proved
Step-by-step explanation:
hope this helps!!
What is the rate of change of the function y - 6x + 3?
Answer:
6
i think the - was meant to be an = instead of -
Step-by-step explanation:
rate of change is the same as slope
that is slope-intercept form.
y=mx+b
m is slope
slope= 6
Answer:
The rate of change is 6
Step-by-step explanation:
Set the equation equal to 0:
y-6x+3=0
Now solve for y because we want the equation in y=mx+b form where m is the rate
Subtract 3:
y-6x=-3
add 6x
y=6x-3
Now in y=mx+b form
m would equal 6
Which does the P stand for in the surface area of prisms formula?
Perimeter of the base
Perimeter of the bottom face
Perimeter of the side
Perimeter of the posterior
Answer:
A
Step-by-step explanation:
perimeter of the base...
In the surface area formula for prisms, the letter "P" stands for "Perimeter of the base."
The surface area of a prism is calculated by adding the areas of all its faces. For a prism, the bases are typically parallel polygons, and the other faces are parallelograms connecting the corresponding vertices of the bases.
To find the area of the base, we need to consider its shape and dimensions. The perimeter of the base is the total length of all its sides. Therefore, when calculating the surface area of a prism, we need to determine the perimeter of the base and multiply it by the height of the prism.
By multiplying the perimeter of the base by the height, we obtain the lateral area of the prism. Adding the areas of the two bases to the lateral area gives us the total surface area of the prism.
So, in the surface area formula for prisms, the "P" represents the "Perimeter of the base."
To learn more about the prism;
https://brainly.com/question/12649592
#SPJ6
In the following diagram,
ℓ
∥
m
.
Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.
Answer:
w = 94 degrees
x = 105 degrees
y = 75 degrees
z = 86 degrees
Step-by-step explanation:
The 75 degree angle + x = 180 degrees, because together they form straight line. They are supplementary angles.
180 - x = 75
x = 105 degrees
The 86 degree angle and z are equal, because they are vertical angles...they share a vertex. So z = 86 degrees
In some of the other problems we've looked at together, we've talked about corresponding angles. Angles in the same position on the next parallel line, cut by a transversal. The angle right above x, where p intersects l, corresponds to y. I've called it Y' in the picture I'm attaching.
So if the 75 degree angle is equal to its vertical angle, Y', which is equal to its corresponding angle of y. y = 75 degrees
Using all of what's here about supplementary angles and corresponding angles, you know that the two angles in the z/86 degree area are 94 degrees. (180 - 86 = 94) Which means w and its vertical angle are also 94 degrees. w = 94 degrees.
I'm sorry this is so wordy. I don't want it to be confusing for you. I am hoping I can help you understand enough so these problems don't stress you out :) I have circled vertical angle pairs (about half of them) in pink. I have circled the supplemental angle pairs (about half of them) in purple.
Square has a perimeter of 76 Cm how long is each side?
Find the area of the composite figure.
(I know I have the right answer selected but I don't have a way to show my work since you can guess it until you get it right.)
A lifeguard is standing beside the lifeguard chair on a beach.The lifeguard is 76 inches tall and casts a shadow that is 48 inches long.The chair casts a shadow that is 72 inches long.How y'all is the lifeguard chair?
9514 1404 393
Answer:
114 inches, or 9 ft 6 inches
Step-by-step explanation:
The chair's shadow is 72/48 = 1.5 times as long as the lifeguard's shadow. Since shadow length is presumed proportional to height, we expect the lifeguard chair to be 1.5 times as tall as the lifeguard.
1.5(76 in) = 114 in = 9 ft 6 in . . . height of lifeguard chair
The perimeter of this triangular plot of land can be represented by the expression 3x2 + 10x + 20.
6x + 11
2x2 + 9
Write a polynomial that represents the measure of the third side of the plot of land.
Answer:
x^2+4x
Step-by-step explanation:
(3x^2+10x+20)-(6x+11) = 3x^2+4x+9
(3x^2+4x+9)-(2x^2+9) = x^2+4x
The polynomial that represents the measure of the third side of the plot of land is x² + 4x.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given two sides of a triangular plot of land.
6x + 11
2x² + 9
Perimeter = 3x² + 10x + 20
Perimeter of a triangle = Sum of the three sides
Let A represents the third side.
6x + 11 + 2x² + 9 + A = 3x² + 10x + 20
2x² + 6x + 20 + A = 3x² + 10x + 20
A = 3x² + 10x + 20 - (2x² + 6x + 20)
A = x² + 4x
Hence the measure of the third side is x² + 4x.
Learn more about Perimeter here :
https://brainly.com/question/29507476
#SPJ2
Please help need it ASAP math 10 points.
pleasee!! i rly need this one
Answer:
26.99
Step-by-step explanation:
A cup of coffee cost $2.50. If the total cost is $22.50, then how many cups of coffee were purchased?
a. Write an equation
b. What is the constant of proportionality?
An equation is formed of two equal expressions. The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that a cup of coffee cost $2.50. Now, if the total cost of coffees is $22.50, then the number of cups of coffee that was purchased is,
Number of cups of coffee = Total bill amount / Cost of a coffee
Number of cups of coffee = $22.50 / $2..50
Number of cups of coffee = 9
A.) An equation for the total bill amount, y and total number of cups of coffee, x can be written as,
Total bill amount = Cost of a coffee × Number of cups of coffee
y = 2.50 × x
y = 2.50x
B.) The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
find the missing length
Answer:
36
Step-by-step explanation:
since the triangles are similar, that means that they have the same angles, and all 3 correlating sides have the same scaling factor.
C correlates to R.
B to Q.
A to P.
therefore,
CB correlates to RQ.
84 / 18 = 14 / 3
so, the scaling factor from ABC to PQR is
3/14
AB to PQ must have the same scaling factor :
168 × 3/14 = 12 × 3 = 36
which is also (of course) confirming the ratio of leg to baseline of the original triangle :
AB : CB = 168 : 84 = 2 : 1
and now
PQ : RQ = 36 : 18 = 2 : 1
Rewrite the expression by combining like terms.
3x^2 + y + 2y^2 + 4y^2
Answer:
3x^2 + 7y^2
Step-by-step explanation:
3x^2 + y + 2y^2 + 4y^2 = 3x^2 + 7y^2
plz help first right gets brainly
Answer:
D, see attachment
Step-by-step explanation:
An equation with a squared symbol (²) will never be linear. You can also graph these lines to be sure.
The attachment shows each of these graphed.
Red line- A
Orange line- B
Green line- C
Purple line- D
Line D is nonlinear, so the answer is D.
–25(15 – 20d + 5c)
help please
Answer:
-375 + 500d - 125c
Step-by-step explanation:
Multiply everything by -25. Also keep in mind that 2 negatives make a positive. You can't simplify any further since each numbers have different variables.
Answer:
Step-by-step explanation:
-375 + 500d - 125c
Hope that helps! :)
my sister is 14 years older than I. her current age is 43. if p represent my current age then set up a equation for my sister's age
Answer:
14+p= sister's current age
Step-by-step explanation:
If you are 14 years younger, then you add 14 to your current age to find her current age.
Find the volume of a right circular cone that has a height of 5.1 ft and a base with a diameter of 15.4 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
V = 419.459168
Step-by-step explanation:
hope this helps
9514 1404 393
Answer:
316.7 ft³
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
Here, the radius (r) is half the diameter, so is 7.7 ft. Then the volume is ...
V = 1/3π(7.7 ft)²(5.1 ft) = 100.793π ft³ ≈ 316.6505 ft³
The volume of the cone is about 316.7 cubic feet.
_____
If you use the inappropriate value 3.14 for π, your answer will be 316.5 ft³.
on a twelve hours clock the time is quarter -past nine. where does the long head and point ?
Answer:
It points to 3 in on the clock.
Hope it helps!!!
what order pair is 3 up and 2 to the right of point t
Evaluate the following Piecewise Function.
Please sturggeling
Answer:
[tex]f(0)=4[/tex]
[tex]f(6) = 8[/tex]
Step-by-step explanation:
Given
The piece wise function
Solving (a): f(0)
To solve for f(0), we make use of:
[tex]f(x) = x + 4[/tex]
Because: the inequality [tex]x < 5[/tex] satisfies x = 0
i.e: [tex]0 < 5[/tex]
So, we have:
[tex]f(x) = x + 4[/tex]
[tex]f(0)=0 + 4[/tex]
[tex]f(0)=4[/tex]
Solving (b): f(6)
To solve for f(6), we make use of:
[tex]f(x) = 8[/tex]
Because: the inequality [tex]5 \le x < 7[/tex] satisfies x = 6
i.e: [tex]5 \le 6 < 7[/tex]
So, we have:
[tex]f(6) = 8[/tex]
pleaseee i rlly need this one rn!!
Answer:
its 20 inches
Step-by-step explanation:
Answer:
26 inches
Step-by-step explanation:
To the nearest inch, the diameter of the tire is 26 inches.
The bike traveled 136 feet in 20 revolutions. First we want to convert this to inches.
136 ft * 12 in/ft = 1632 inches.
Next we find how many inches it travels in 1 revolution:
1632/20 = 81.6 inches
The distance around the tire is called the circumference, and the formula for circumference is
C=πd
Our circumference is 81.6 and π is 3.14:
81.6 = 3.14d
Divide both sides by 3.14:
81.6/3.14 = 3.14d/3.14
26 = d
Hope this helped!!!!
Resuelve lo siguiente:
1.-Carlos tiene un mazo de 15 cartas numeradas del 1 al 15. Saca una carta al
azar, ve el número, y la revuelve de nuevo en el mazo. ¿Cuál es la probabilidad de
que no le salga una carta menor o igual a 5 en el primer intento, pero que si le
salga una carta menor o igual a 5 en el segundo intento?
1
1
2
B) 9
A) 9
C) 3
D) 3
Respuesta:
2/9
Explicación paso a paso:
Dado que :
tarjeta numerada = 1 - 15
Probabilidad de obtener un número no menor o igual a 5
Número de cartas no menor o igual a 5:
Tarjeta no ≤ 5 = (6,7,8,9,10,11,12,13,14,15) = 10
Probabilidad = resultado requerido / Total de resultados posibles
P (Tarjeta no ≤ 5) = 10/15 = 2/3
Número de cartas menor o igual a 5:
Tarjetas ≤ 5 = 1, 2, 3, 4, 5
P (Tarjeta ≤ 5) = 5/15 = 1/3
P (Tarjeta no ≤ 5) * P (Tarjeta ≤ 5)
2/3 * 1/3 = 2/9
Calcularemos la probabilidad del evento combinado para obtener: P = 0.22
Calculando las probabilidades individuales:La probabilidad de sacar una carta menor o igual a 5 es igual al cociente entre el numero de cartas con un número menor o igual a 5 y el número total de cartas en el mazo.
Tenemos 5 cartas con un número igual o menor a 5 y un total de 15 cartas, así que la probabilidad es:
p = 5/15
La probabilidad de que no le salga una carta menor o igual a 5 es calculada de la misma forma, hay 10 cartas que no son menores o iguales a 5 y un total de 15 cartas, entonces tenemos:
q = 10/15
La probabilidad conjunta es simplemente el producto de esas dos probabilidades, así obtenemos:
P = (10/15)*(5/15) = 10/45 = 0.22
Sí quieres aprender más sobre probabilidad, puedes leer:
https://brainly.com/question/21755457
Which of the following is not a solution of the equation y=3x−4 ?
(2, 2)
(0, -4)
(4, 8)
(-1, -1)
Answer:
(-1, -1) is not a solution to the system
Step-by-step explanation:
Y = 3x - 4. Substitute the points for x and y
2 = 3(2) - 4
2 = 2 solution
y = 3x - 4
-4 = 3(0) - 4
-4 = -4 solution
y = 3x - 4
8 = 3(4) - 4
8 = 8 solution
y = 3x - 4
-1 = 3(-1) - 4
-1 = -7 not solution
