Answer:
see explanation
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
A
scale factor = \(\frac{3}{9}\) = \(\frac{1}{3}\)
B
scale factor = \(\frac{9}{3}\) = 3
find volume of figure down below
The volume of figure down below is 470.996 cubic in.
The volume of the cone is the product of one-third of the height, pie, and square of the radius that is;
The volume of the cone = 1/3(πr²)(height)
Since we can see that there are two cones combined together to form one figure.
So, Volume of first cone = 1/3(πr²)(height)
= 1/3(π 5²)(7)
= 1/3(π 25)(7)
= 183.166
Volume of second cone = 1/3(πr²)(height)
= 1/3(π 5²)(11)
= 1/3(π 25)(11)
= 287.83
Therefore, the volume of the figure is;
287.83 + 183.166
470.996
Learn more about volume;
https://brainly.com/question/1578538
#SPJ1
Select the polynomial that is a perfect square trinomial.
A. 9x2 + 9x + 1
B. 36b2 − 24b + 8
C.16x2 + 24x + 9
D.4a2 − 10a + 25
Answer:
option c 16x²+24x+9
please mark me as brainlist
Write the slope intercept form of the equation of the line passing through (-4,6) and perpendicular to y=-2x-5.
Answer:
\(y=\frac{1}{2} x+8\)
Step-by-step explanation:
Hi there!
Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
Perpendicular lines will always have slopes that are negative reciprocals of each other. For example, two perpendicular lines might have slopes of 3 and -1/3.
After observing the equation y=-2x-5, we can conclude that the slope is -2. Therefore, a line perpendicular to this line would have a slope of 1/2. Plug this into \(y=mx+b\):
\(y=\frac{1}{2} x+b\)
2) Determine the y-intercept (b)
\(y=\frac{1}{2} x+b\)
Plug in the given point (-4,6)
\(6=\frac{1}{2}(-4)+b\\6=-2+b\)
Add 2 to both sides
\(6+2=-2+b+2\\8=b\)
Therefore, the y-intercept is 8. Plug this back into \(y=\frac{1}{2} x+b\):
\(y=\frac{1}{2} x+8\)
I hope this helps!
I need to figure out whether or not this is a solvable equation. HELP
Answer:
its not
Step-by-step explanation:
Answer:
yeah this question i s solvable
Step-by-step explanation:
\( \frac{1}{3} (4 + 2) = - \frac{2}{5} (4 - 9)\)
\( \frac{1}{3} \times 6 = - \frac{2}{5} \times ( - 5)\)
please try ti do it on thi way
PLEASE MARK ME AS BRAINLIEST
Write the equation of the line which has a slope of and passes through (8,1). Write the answer in slope-intercept
form.
Answer:
8o88uiuuzjjiuuuoooooöoooo7nhuj
PLEASE HELP ASAPP!
Thanksss
Answer:
24
Step-by-step explanation:
2x-14=34
2x=48
x=24
x=24
Simplify the rational expression!!! Help!!! step by step!!!!!
The Simplification of the rational expression n[1/x - 1/(x + 2) / 2] gives 1/[x(x+2)] or 1/(x²+2x)
How to simplify a rational expression?Simplification of a rational expression as a way of writing an expression in the most efficient and compact form without affecting the value of the original expression
[1/x - 1/(x+2)] /2
The LCM of x and (x+2) is x(x+2). Thus, we have:
[1/x - 1/(x+2)] /2 = [(x+2 - x) / x(x+2)] /2
= [ 2 / x(x+2)] /2
= 1 / [x(x+2)]
= 1/(x²+2x)
Thus, the expression simplifies to 1/[x(x+2)] or 1/(x²+2x)
Learn more about simplification of expression on:
brainly.com/question/723406
#SPJ1
What is the slope of this line? (5 points)
Show all work.
Answer:
-2,2
Step-by-step explanation:
The solution to the system of equations is (-7, 11). true or false
Hey I need help on these 4 questions Make sure that you put what question number by the answer
Answer:
Step-by-step explanation:
#8- No, because you cannot make equivalent fractions out of the two fractions.
#9- Cross Multiply: 3v=15, v=5
#10- Yes, equivalent fractions can be made out of these (For 8/3, multiple numerator and denominator by 10 to get fraction 80/30)
#11: Cross Multiply once more. 72=9v, v=8
A high-speed elevator can rise 480 feet in 3 seconds. Which expression represents the rate, in feet per minute, of the elevator?
1 minute = 60 seconds
60 seconds/ 3 seconds = 20
480 feet x 20 = 9,600 feet
The elevator travels 9,600 feet per minute.
Answer:
160 feet per minute
Step-by-step explanation: i am 100% sure
En tu trabajo de ciencias te toco realizar un experimento de cultivó de hongos en una pieza de pan de harina de trigo y una tortilla de maiz. La secuencia de revisión para la toma de datos será, en el primer caso, cada 15 dias; y en el otro, cada 20 por tres meses. ¿A los cuantos días te tocaría revisar ambos cultivos?
Responder:
60 días
Explicación paso a paso:
Primer caso = cada 15 días
Segundo caso = cada 20 días
El número de días en los que habrá que comprobar ambos cultivos se puede obtener encontrando el mínimo común múltiplo de 15 y 20
Múltiplo de:
15:15, 30, 45, 60, 75, 90, 105
20:20, 40, 60, 80, 100, 120
El mínimo común múltiplo de 20 y 15 es 60
El día en el que habrá que controlar ambos cultivos es de 60 días
The value of "y" varies directly with "x" and
y = -8 when x = 20.
Find "y" if x = -4.
Now use the value you found for k, in y=kx to
solve for y when x is -4.
k=-²/
y =
Reduce to simplest form.
Answer:
y = 8/5
Step-by-step explanation:
Formula we use,
→ y = kx
Then the value of y will be,
→ y = kx
→ y = (-2/5) × (-4)
→ y = (-2 × -4)/5
→ [ y = 8/5 ]
Hence, the value of y is 8/5.
Challenge An airplane is preparing to land at an airport. It is 54,000 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same
airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that
altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the
situation
They will be at the same altitude in
minutes, when their altitude will be teet.
To solve this problem, we can use the equation:
altitude = starting altitude - (rate of descent/ascent x time)
Method 1: Setting the altitudes equal to each otherWe can set the altitude of the descending airplane equal to the altitude of the ascending airplane and solve for the time.
54,000 - 3,300t = 2,700t
54,000 = 6,000t
t = 9
So the two airplanes will be at the same altitude after 9 minutes of descent and ascent. To find the altitude, we can plug t = 9 into either of the equations:
Altitude = 54,000 - 3,300(9) = 24,300 feet
OR
Altitude = 2,700(9) = 24,300 feet
Therefore, the two airplanes will be at the same altitude after 9 minutes of descent and ascent, at an altitude of 24,300 feet.
Method 2: Using the difference in the rates of descent and ascentWe can also use the difference in the rates of descent and ascent to find the time it will take for the two airplanes to be at the same altitude.
The difference in the rates is 3,300 - 2,700 = 600 feet per minute. We need to cover a vertical distance of 54,000 feet, so it will take:
54,000 / 600 = 90 minutes
So after 90 minutes, the two aeroplanes will be at the same altitude. To find the altitude, we can plug t = 90 into either of the equations:
Altitude = 54,000 - 3,300(90) = -207,000 feet
OR
Altitude = 2,700(90) = 243,000 feet
However, we see that the altitude calculated using the first method makes more sense in this situation, as it is a positive value and more realistic.
In conclusion, method 1 is easier to use and more appropriate for this situation, as it gives a more realistic and positive value for the altitude. Method 2 is more difficult to use and can lead to unrealistic or negative values in certain situations.
Learn more about altitude, here:
brainly.com/question/1159693
#SPJ11
Can anyone help me with this please .
Don’t answer if you do not know :( .
the answer is a because you have to find the slope.
7 girls : 2 boys is equivalent to what ratio?
Answer:7:2 or 7 to 2
Step-by-step explanation:
Answer:
7 : 2 7/2 we can use two
Step-by-step explanation:
7 : 2 can't simplified
Find the volume of this object.
Use 3 for T.
2 ft
12 ft
8 ft
8 ft
7 ft
Volume of a Cone
πr²h
3
Volume of a
Rectangular Prism
V = lwh
V≈ [?]in³
V=
The volume of the given composite shape formed with a combination of cone & rectangular prism in cubic feet is 880 cubic feet and approximately cubic inches is 1,520,640 in3.
What is volume?Various solid figures or shapes have various volumes. We have investigated a variety of three-dimensionally specified solids and shapes, such as cubes, cuboids, cylinders, cones, etc. A shape created from two or more basic shapes is referred to as a composite, compound, or complicated shape. Any three-dimensional shape, figure, or solid's volume is simply the quantity of space it occupies or contains. By finding the product of the dimensions we can calculate the volume of a solid or 3D figure. The measurement units are cubic units. These solids can be of various shapes like cube, cuboid also called rectangular prism, cone, cylinder, sphere , hemishphere, frustum, etc.
Volume of cone = \(\frac{\pi\ r^2h}{3}\)
Volume of cuboid=L.W.H
Given that the solid shape is made up of cone & cuboid(also called rectangular prism)
Volume of solid= volume of cone+volume of rectangular prism
Given dimensions:
Cone:radius(r) = 8 ft
height(h) = 12 ft
Cuboid: Length(L) = 8 ft
Width(W) = 7 ft
Height(H) = 2 ft
Given that π = 3
Volume of solid = \(\frac{\pi\ r^2h}{3}\) + L.W.H
= \(\frac{3(8^2)(12)}{3} +8(7)(2)\)
= 64(12) + 56(2)
= 768 + 112
= 880
Volume of solid=880 cubic feet.
We know that 1 foot = 12 inches, & 1 cu. ft = 12x12x12 cu. inches
on converting volume into inches we get:
Volume of solid = 880 x 12 x 12 x 12 cubic inches
= 1,520,640 cu. inches.
Volume of solid is 1,520,640 in3
To know more about volume click-
brainly.com/question/463363
#SPJ1
Precalculus to wa
Please help Ik the language
Answer:
In mathematics education, precalculus or College algebra is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.
Step-by-step explanation:
Dude you can search this stuff up
Please help me with this question I will give 20 points
Answer:
Step-by-step explanation:
Mai has a dome paperweight that she can use as a magnifier. The paperweight is
shaped like a hemisphere made of solid glass, so she wants to design a box to keep it in
so it won't get broken. Her paperweight has a radius of 3 cm.
What should the dimensions of
the inside of box be so the box is
as small as possible?
What is the volume of the box?
If the radius is 3, what's the diameter?
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. it is believed that the machine is underfilling or overfilling the bags. a 301 bag sample had a mean of 431 grams with a variance of 324 . assume the population is normally distributed. a level of significance of 0.02 will be used. specify the type of hypothesis test.
The type of hypothesis test to be used in this scenario is a one-sample t-test with a two-tailed alternative hypothesis.
The problem is asking to conduct a hypothesis test to determine whether the bag filling machine works correctly at the 433 gram setting.
The hypothesis test would involve a null hypothesis (H0) and an alternative hypothesis (Ha).
The null hypothesis is typically the hypothesis of "no effect" or "no difference" and is denoted as H0. In this case, the null hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is equal to 433 grams. Therefore, the null hypothesis would be:
H0: μ = 433
The alternative hypothesis (Ha) is the hypothesis that we want to test, and it is denoted as Ha. In this case, the alternative hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is not equal to 433 grams. Therefore, the alternative hypothesis would be:
Ha: μ ≠ 433
To conduct the hypothesis test, we would need to calculate the test statistic and compare it to the critical value. Since the sample size is large (n=301) and the population variance is unknown, we would use a t-test with a level of significance of 0.02.
If the calculated t-value falls outside the critical t-value, we would reject the null hypothesis and conclude that the bag filling machine does not work correctly at the 433 gram setting.
If the calculated t-value falls within the critical t-value, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the bag filling machine does not work correctly at the 433 gram setting.
Learn more abou hypothsis test at https://brainly.com/question/24212565
#SPJ11
Determine the number of different groups of 5 items that can be selected from 12 distinct items.
There are total 95040 number of different groups of 5 items can be selected from 12 distinct item.
According to the given question.
Total number of items, n = 12
Total numbers of items to be selected, r = 5
Since, we have to determine the number of different groups of 5 items that can be selected from 12 distinct items. So, we will find the number of different groups by permulation formula i.e.
\(^{n} P_{r} = \frac{n!}{(n-r)!}\)
Where,
\(^{n} P_{r}\) is the total number of permutations.
n is the total number of objects.
r is teh total number of objects to be selected.
Therefore,
The number of different groups or permutaions of 5 items that can be selected from 12 distinct group
\(^{12} P_{5}\)
\(= \frac{12!}{(12-5)!}\)
\(= \frac{12!}{7!}\)
\(= \frac{12\times11\times10\times9\times8\times7!}{7!}\)
= 12 × 11 × 10 × 9 × 8
= 95040
Hence, there are total 95040 number of different groups of 5 items can be selected from 12 distinct item.
Find out more information about permuation here:
https://brainly.com/question/1216161
#SPJ4
lisa charges $25 for private tutoring and $18 for a group tutoring session. one day in january, lisa earned $265 for 12 students. How many students of each type did lisa tutor??
pls help<3
Answer:
Let's assume Lisa tutored x students for private tutoring and (12 - x) students for group tutoring.
Therefore, the amount earned for private tutoring would be 25x and the amount earned for group tutoring would be 18(12 - x).
We know that the total amount earned was $265, so we can set up an equation:
25x + 18(12 - x) = 265
Simplifying the equation:
25x + 216 - 18x = 265
7x = 49
x = 7
Therefore, Lisa tutored 7 students for private tutoring and 12 - 7 = 5 students for group tutoring.
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Let's call the number of private tutoring sessions Lisa held "P" and the number of group tutoring sessions "G". We want to find out how many of each type of session she held.
From the problem, we know that:
Lisa charges $25 per private tutoring session, so the total amount she earned from private tutoring is 25P.
Lisa charges $18 per group tutoring session, so the total amount she earned from group tutoring is 18G.
Lisa tutored a total of 12 students, so the total number of tutoring sessions is P + G = 12.
We can write two equations based on this information:
25P + 18G = 265 (the total amount Lisa earned)
P + G = 12 (the total number of tutoring sessions)
To solve for P and G, we can use substitution. Solve the second equation for P:
P = 12 - G
Now substitute this expression for P in the first equation:
25P + 18G = 265
25(12 - G) + 18G = 265
300 - 25G + 18G = 265
-7G = -35
G = 5
So Lisa held 5 group tutoring sessions. We can find the number of private tutoring sessions by using the second equation:
P + G = 12
P + 5 = 12
P = 7
Can someone explain to me how to answer this question? Thank you!
Answer:
y<13/2
Step-by-step explanation:
5y+4<3y+17
5y-3y<17-4
2y<13
y<13/2
Answer:
y < \(\frac{13}{2}\)
Step-by-step explanation:
Given
5y + 4 < 3y + 17 ( subtract 3y from both sides )
2y + 4 < 17 ( subtract 4 from both sides )
2y < 13 ( divide both sides by 2 )
y < \(\frac{13}{2}\)
Here is the picture of the problem- Only 6th grade math
Answer:
h= 7/6 mm
Step-by-step explanation:
hello :
the area is : A= (b+B)×h/2
calculate h the height : 2A = (b+B)×h
so: h = 2A/(b+B)
you have : A=21/5 and b= 3 and B= 21/5
h= 2(21/5)/(3+21/5)
h= (42/5) /(36/5)
h= 42/36
h= 7/6 mm
HELP ME PLEASE!!! I NEED HELP!
For the whole numbers:
24
26
23
25
21
46
63
57
75
91
1. 24 and 23.8
2. 26 and 25.7
3. 23 and 22.8
4. 25 and 24.8
5. 21 and 20.9
6. 46 and 46.3
7. 64 and 63.7
8. 56 and 56.5
9. 75 and 74.6
10. 91 and 90.7
When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.
If you have any further question, please reach out to me :)
What is 3 times four divided 69 plus 10
Answer:
I got the answer 234/23
i hope this helps
The polynomial (2x - 1)(x^2- 2) - x(x^2 - x - 2) can be written in the form ax^3 + bx^2 + cx + d. a, b, c, d are constants. What are the values of a, b, c, d?
Given the following expression:
\((2x-1)(x^2\text{ - 2) - x(}x^2\text{ - x - 2)}\)To be able to find the value of the constants a, b, c, and d, we must first simplify the expression in the form of ax^3 + bx^2 + cx + d.
We get,
\((2x-1)(x^2\text{ - 2) - x(}x^2\text{ - x - 2)}\)\(\text{ (2x}^3-4x-x^2+2)-(x^3-x^2\text{ - 2)}\)\(\text{ 2x}^3-4x-x^2+2-x^3+x^2+2=2x^3-x^3-x^2+x^2\text{ - 4x + 2 + 2}\)\(\text{ = x}^3+0x^2\text{ - 4x + 4}\)Therefore, (2x - 1)(x^2- 2) - x(x^2 - x - 2) when simplified is x^3 + 0x^2 - 4x + 4.
Following the standard form ax^3 + bx^2 + cx + d, the following constants are:
ax^3 = x^3 = 1x^3
a = 1
bx^2 = 0x^2
b = 0
cx = - 4x
c = -4
d = 4
In Summary: a = 1, b = 0, c = -4 and d = 4
Marie kept track of the total hours and minutes she worked this week at the local health food store.
Monday - 3 hours
Thursday - 5 hours 30 minutes
Saturday - 3 hours 30 minutes
Sunday - 6 hours 45 minutes
How many decimal hours did Marie work this week?
a
17.11
b
18.05
c
18.75
d
19.20
Answer:
C. 18.75
Step-by-step explanation:
3 + 5 + 3 + 6 = 17
30 + 30 = 1
17 + 1 = 18
45 in decimal form is .75
the answer is 18.75
WILL RECIEVE BRANILIEST IF ANSWERED CORRECT
Answer:
B
Step-by-step explanation:
The answer is B because we can estimate by seeing that: 3 x 3 = 9, so henceforth the answer must be between 3 and 4, so it must be B.