Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.
Volume = 105in³
Mass = 871.5g
To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.
The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³
The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g
Ike's igloo sold 501 ice cream cones today.They sold half as many chocolate ice cream cone as vanilla ones. How many of each were sold?
Answer:
Chocolate cones = x = 167 cones
Vanilla cones = y = 334 cones
Step-by-step explanation:
Let
The number of Chocolate cones = x
Vanilla cones = y
Ike's igloo sold 501 ice cream cones today.
x + y = 501.... Equation 1
They sold half as many chocolate ice cream cone as vanilla ones.
x = 1/2y
x = y/2
Cross multiply
y = 2x
We substitute 2x for y in Equation 1
x + 2x = 501
3x = 501
x = 501/3
x = 167
Solving for y
y = 2x
y = 2 × 167
y = 334
Therefore,
The number of
Chocolate cones = x = 167 cones
Vanilla cones = y = 334 cones
Write the new equation if the graph of f (x) = –2x2 + 5 is translated down 10
units. (Include f(x) in your answer)
HELPPP
PLEASE NO LINKS JUST WRITE OUT THE ANSWER
Answer:
how would i know the answer
Step-by-step explanation:
Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²
Respuesta:
88,8 cm²
Explicación:
Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.
Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.
Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm
Luego, podemos calcular el área del hexágono usando la siguiente fórmula:
Area = Perímetro × Apotema / 2
Area = 48 cm × 3,7 cm / 2 = 88,8 cm²
what is the distance from (-4, -7) to (4, 8) ?
Answer:
17
Step-by-step explanation:
We can use this formula:
[tex]\sqrt{(x2-x1)^2 + (y2 -y1)^2}[/tex] where x and y indicate the coordinates of the two points
[tex]\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17[/tex]
Answer:
17
Step-by-step explanation:
You are given two points so you use the distance formula
[tex] \sqrt{( {x 2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Substitute your points into the formula
Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)
Answer:
2x + 5
Step-by-step explanation:
I am assuming you are talking about a linear function. If it is, then the equation would be:
2x + 5.
Hope this helps!
Answer:
[tex]y = 2x + 5[/tex]
Step-by-step explanation:
For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.
In order to find the equation, we must find the slope and y-intercept.
Finding mThe slope can be found with the formula:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.
Substituting in values from the points, we get:
[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]
Finding bIn order to find the y-intercept, we must substitute the slope back into the original equation:
[tex]y = 2x + b[/tex]
After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.
[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]
Finding the equationAfter this, all that must be done is to substitute the values for b and m back into the original equation.
[tex]y = 2x + 5[/tex]
To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.
[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]
How do I find the circumference?
True or False: A secant passes through a circle once where as a tangent passes through a
circle twice.
Answer:
false
Step-by-step explanation:
A secant of a curve is a line that intersects the curve at least twice.
The tax rate at this restaurant is 9.5%.
Marc’s sales tax is $1.61. How much was his subtotal?
Answer:
I don't know, I'm just doing this to get points. lol
Step-by-step explanation:
haha
A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).
Answer:
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
Step-by-step explanation:
Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).
So, we use the equation in standard form
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]
Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.
Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,
-bx/a = -x ⇒ b/a = 1 ⇒ a = b
Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²
substituting c = 5 and a = b into the equation, we have
c² = a² + b²
5² = a² + a²
25 = 2a²
a² = 25/2
a = √(25/2)
a = ±5/√2
rationalizing, we have
a = ±5/√2 × √2/√2
a = ±5√2/2
Since a = b, b = ±5√2/2
Inserting a and b into the equation for the hyperbola, we have
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
So, the required equation is
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
PLEASE HELP RIGHT NOW ASAP IF CORRECT I WILL GIVE BRAINLIEST HELP NOW
Answer:
x^4
is the answer
7 3/4 + 3 5/6 - 1 3/4
Answer:
This does not have to be complicated.
Just subtract 1 3/4 from 7 3/4 to get 6. Now add the 3 5/6 to that for a total of 9 5/6
Step-by-step explanation:
3/5 pencils sold in the morning. 1/4 of the remainder in the afternoon. If 200 more pencils were sold in the morning than afternoon, how many pencils did they start with
Answer:
x = total pencils = 400 pencils
Step-by-step explanation:
Let
x = total pencils
Pencils sold in the morning = 3/5x
Remaining pencil = x - 3/5x
= 5x-3x/5
= 2/5x
Pencils sold in the afternoon = 1/4 of the remainder
= 1/4 * 2/5x
= 2/20x
= 1/10x
Pencils sold in the afternoon = 1/10x
3/5x + 200 = 1/10x
3/5x - 1/10x = 200
(6x-x)/10 = 200
5/10x = 200
1/2x = 200
x = 200 ÷ 1/2
= 200 × 2/1
x = 400 pencils
x = total pencils = 400 pencils
Avery invested $21,000 in an account paying an interest rate of 3.3% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $29,200?
Answer:
10
Step-by-step explanation:
Answer from delta math
CORRECT ANSWER = BRAINLIEST | NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:
Find the volume of the cone. H=9cm r=6cm
Answer:
the volume of the cone is 339.29
Step-by-step explanation:
Answer:
Volume is 339.29cm
Step-by-step explanation:
Help please ! 11x+4<15 or 12x+7>-25
Answer:
A
Step-by-step explanation:
From the first inequality,we got:
11x+4<15
11x<11
x<1
From the second inequality,we got:
12x>-18
x>-3/2
Combine it together we got
-3/2<x<1
Answer:
All values of x are solutions
Step-by-step explanation:
Find the area of a sector of a circle with radius 7 cm and and central angle 240°.
Answer:
103 cm^2
i just took the quick check
Part A: A bag of deflated balloons contains 5 red, 3 blue, 4 green, 4 yellow, 5 purple, and 4 white balloons. Create a probability model to show the probability of randomly selecting a balloon of each color. Part B: Verify that all possible outcomes are included in the probability model. Part C: Determine whether the probability model shows uniform or nonuniform probability.
Answer:
Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF
A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.
Answer:
2x+40=982
Step-by-step explanation:
Which statement is true about the equation
It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.
Answer:
it has one solution which is 4
Answer:
hope this helps you......
A - 3/4 = 1/8 step by step explanation
Answer:
A-3/4=1/8 is the equation, if you expand 3/4 it is 6/8, in order to get 1/8 you need to subtract 6/8 from 7/8
7/8-6/8=1/8 therefor A=7/8
Find the area. 7 in. 5 in. 12 in.
Answer:
I believe its 47.5
Hope this helps!
Answer:
142.5
Step-by-step explanation:
1/2×5×(7+12)=142.5
HELP PLSSs plssssssss helpppp it’s math plsssssss
Answer:
17°
Step-by-step explanation:
Complementary must add up to 90°
therefore, 90-73
Answer:
solution given:
x+73=90° complementary
x=90-73
x=17°
x=17°
The triangle shown is rotated 90° counterclockwise about the origin. What are the new coordinates of point A?
A)
(1,2)
B)
(-2, 1)
C)
(2, 1)
D)
(-2,-1)
Answer:
c
Step-by-step explanation:
PLEASE ANSWER!
I need asap
Answer:
input sloperelation outputStep-by-step explanation:
very sorry if I'm wrong
Graph the function f(x) = 7 + 4x. Then find the value of f(x) when x =
1/4
Everything is graphed out and labeled here for ya!
The Osborn family goes out to dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to leave a 15% tip. What is the total cost of the meal?
Solve x + 10 > 14. Then graph the solution.
Answer:
x>4
Step-by-step explanation:
substitution method please help :3
Answer:
7x + 27 = -17
Step-by-step explanation:
2x + 5x = 7x
3y + (-y) = 2y
-5 + (-12) = -17
Combine them to make the added equation.
7x + 2y = -17.