Answer:
a
Step-by-step explanation:
An asteroid is a minor planet of the inner Solar System. Historically, these terms have been applied to any astronomical object orbiting the Sun that did not resolve into a disc in a telescope and was not observed to have characteristics of an active comet such as a tail.
In which step was the subtraction property of equality applied?
Answer:
step 1 is the answer
if you like my answer please like comment and mark me as brilliant
Answer:
D - The subtraction property of equality was not applied to solve this equation
Step-by-step explanation:
I got it right on the test
Explanation - they added 7 to both sides, so there was no subtraction property used
please help with this problem!!
Answer:
12 cups
Step-by-step explanation:
The ratio he uses is
2 parts strong coffee
3 parts milk
Let's say he makes a recipe exactly like the amounts of the ratio.
2 cups strong coffee
3 cups milk
Total: 2 cups + 3 cups = 5 cups
He wants to make 30 cups, so 5 cups is not enough.
Let's double the amounts of the recipe keeping the same ratio of 2 to 3.
2 × 2 = 4 cups strong coffee
3 × 2 = 6 cups milk
Total: 4 cups + 6 cups = 10 cups
He wants to make 30 cups, so 10 cups is not enough.
We can keep on going up by multiplying the numbers in the ratio by larger numbers, but there is a quicker way.
We need to multiply both numbers in the ratio by a number, let's call it x, so that when both numbers in the ratio are multiplled by x, and the ingredients are added, we end up with 30 cups.
Multiply both numbers in the ratio by x.
2x cups of strong coffee
3x cups of milk
Now add: the total amount will be 5x cups
We want 30 cups, so
5x = 30
Solve for x.
x = 30/5 = 6
x, the multiplier we need is 6.
2x cups strong coffee = 2(6) cups = 12 cups
3x cups milk = 3(6) cups = 18 cups
Answer: 12 cups
The sum of the three interior angles of a triangle is 180. Suppose one angle is 74 and the remaining two angles are the same measure. Reason numerically to find the measures of the remaining angles.
Answer:
53
Step-by-step explanation:
[tex]sum \: of \: angles = 180 \\ 180 = 74 + 2x \: where \: x \: is \: the \: measure \: of \: the \: other \: angles \\ 180 - 74 = 2x \\ 106 = 2x \\ x = \frac{106}{2} \\ x = 53[/tex]
Always welcome
A cube has total surface area 150 cm square, find the volume of cube. somebody help me to solve this.
We have been provided with the total surface area of cube that is 150cm².
So here we will first find out the value of a side of cube.
★ Total surface area of cube :-
T.S.A. = 6a²Here,
a is side of cubePutting the values,
6a² = 150cm²
a² = 150 / 6
a² = 50 / 2
a² = 25
a = √25
a = 5
Henceforth,
Side of a cube is of 5 cm.★ Finding out volume of cube :-
As we know that volume of cube is calculated by the formula :
V = a³Putting the values,
V = 5³
V = 5 × 5 × 5
V = 25 × 5
V = 125
Henceforth,
Volume of cube is of 125 cm³.Compare the integers.
-14
-23
A)
B)
> Greater than
O
= Equal to
D
Neither
Answer:
-14 > -23
Step-by-step explanation:
-14 is greater than -23 since it is closer to 0 than -23.
hope this helps!! p.s. i really need brainliest :)
What is the ratio of the surface areas of two cones if the radius of one is 3 en and the slant height is 7 cm, and the other has a radius of 5 cm and a slan Height of 9 cm?
Given Information :-
⠀
A cone with dimensions :-
Radius = 3 cmSlant height ( l ) = 7 cm⠀
Another cone with dimensions :-
⠀
Radius = 5 cmSlant height = 9 cm⠀
To Find :-
⠀
The ratio of their total surface area⠀
Formula Used :-
⠀
[tex] \qquad \diamond \: \underline{ \boxed{ \red{ \sf T.S.A._{Cone}= \pi r(r+l) }}} \: \star[/tex]
⠀
Solution :-
⠀
For the first cone,
⠀
Since, we don't really have to find the exact values of the surface area, we will let pi remain as a sign itself, this will make the calculations easier.
⠀
[tex] \sf \longrightarrow T.S.A. = \pi \times 3(3 + 7) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 3 \times 10 \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =30 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \\ \\ [/tex]
Now, for the second cone,
⠀
[tex] \sf \longrightarrow T.S.A. = \pi \times 5(5 + 9) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 5 \times 14 \: \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =70 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Now, we just have to calculate the ratio of their surface areas, thus,
⠀
[tex] \sf \longrightarrow Ratio = \dfrac{Surface ~area~of~first~cone}{Surface ~area~of~second~cone} \\ \\ \\ \sf \longrightarrow Ratio = \frac{30 \pi \: {cm}^{2} }{70 \pi \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \qquad \qquad \qquad \\ \\ \\ \sf \longrightarrow Ratio = \frac{ 3 \cancel{0 \pi \: {cm}^{2}} }{ 7 \cancel{0 \pi \: {cm}^{2} } } \qquad \qquad \qquad \qquad \\ \\ \\\sf \longrightarrow Ratio = \frac{3}{7} = 3 : 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the ratio between the surface areas of the cones is 3 : 7.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
What is the smallest positive integer n such that n! ends in at least 2019 zeros?
Answer:
I think there's 502
Step-by-step explanation:
if this is a olunomical question that should be it I believe, because you have to write in standered form then when it equals zero, then factor it
Can someone help me plssss!!!
The dimensions of a right rectangular prism are shown below.
How many cubes with side lengths of 1 over 6 inch are needed to fill the prism without gaps or overlaps?
show the work pls.
Answer:
a.
Step-by-step explanation:
open chormecanvis and draw little cubes on the side of the prisum, thats wahat i did
Find a bank account balance if the account starts with $100, has an annual rate of 4%, and the money is left in the account for 12 years.
Will give Brainly!!
5 Questions
Financial Mathematics
Questions Attached
Find the measure of the missing angle.
Answer:
You see that 73 degrees and angle 'a' must add up to be = to 180 degrees since both angles form that straaight line on the left. So 180 degrees - 73 = 107 degrees which is measure of angle 'a'
Step-by-step explanation:
Answer:
107°
Step-by-step explanation:
The two angles below form a linear pair.
They are characterized by forming a sum of 180°, which is the standard angle measure of any line.
⇒ a + 73° = 180°
⇒ a = 107°
Is it possible that someone could help me with this?
(I tried to take the best picture a can)
Answer:
Below.
Step-by-step explanation:
There are 2 outliers:
234, 880.
All the other values range from 485 to 510.
a student needs to fill a tank with 9 liters of waters how many 1/3 liters of water will it take to fill the tank
It will take 27 containers of 1/3 liter to fill the tank.
Since you need 3 containers of 1/3 to have a full liter, and 9 liters for the tank, 9*3=27.
Answer:
27
Step-by-step explanation:
1= 1/3x3
3x9=27
I need help with this question step by step
Z-scores are used to determine the probability of data. The z-score for the given parameters in normal distribution is -6.35
How to calculate z-score for a normal distribution?
The formula given to calculate the z-score is expressed as:
[tex]z = \dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}} }[/tex]
Given the following parameters:
Mu = 1.36
n = 28
[tex]\sigma = 5[/tex]
Mean = 130
Substitute into the formula
[tex]z = \dfrac{130-136}{\frac{5}{\sqrt{28}} }\\ x = \frac{-6}{0.9449} \\z = -6.35[/tex]
Hence the z-score for the given parameters in normal distribution is -6.35
Learn more on z-score here: https://brainly.com/question/25638875
please help asap and please leave a real answer thank you
Answer:
[tex] \frac{0.75x - 3}{x - 1} [/tex]
Step-by-step explanation:
Equation of a rational function is
[tex] \frac{p(x}{q(x)} [/tex]
where q(x) isn't zero.
There is a vertical asymptote at
[tex]x = 1[/tex]
So this mean that our denomiator must have a zero that occur at x=1.
That zero is
[tex]x - 1[/tex]
So our denomiator is
[tex] \frac{p(x)}{x - 1} [/tex]
Since our horinzontal asymptote is a non zero value, the numerator must be a linear equation as well.
So our rational function is
[tex] \frac{ax + b}{x - 1} [/tex]
We know the graph pass through (0,3)
So if we apply that logic,
[tex] \frac{a(0) + b}{0 - 1} = 3[/tex]
[tex] \frac{b}{ - 1} = 3[/tex]
[tex]b = - 3[/tex]
And it passes through (4,0)
[tex] \frac{a(4) + b}{3} = 0[/tex]
[tex]4a + b = 0[/tex]
[tex]4a + ( - 3) = 0[/tex]
[tex]4a = 3[/tex]
[tex]a = \frac{3}{4} [/tex]
So our rational equation is
[tex] \frac{0.75x - 3}{x - 1} [/tex]
A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude
Answer:
Area of given triangle is 939.15cm² and smallest altitude is 30.8cm
Solution:We are given three sides of a triangle, Let the sides be :
( a ) = 35 cm( b ) = 54 cm( c ) = 61 cmWe can find the area of the triangle with its three sides using Heron's Formula
Heron's FormulaHeron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:
[tex] \sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}[/tex]
where ( s ) :
[tex] \sf \longrightarrow s = \dfrac{a + b + c}{2} [/tex]
Therefore, for the given triangle first we will calculate ( s )
[tex] \begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}[/tex]
Now, Area of triangle will be:
[tex] \begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}[/tex]
Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,
[tex] \begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}[/tex]
Answer:
Area = 939.15 cm² (2 d.p.)
Shortest Altitude = 30.79 cm (2 d.p.)
Step-by-step explanation:
Heron's Formula allows us to find the area of a triangle in terms its side lengths.
Heron's Formula
[tex]\sf Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
where:
a, b and c are the side lengths of the triangles is half the perimeterGiven values:
a = 35 cmb = 54 cmc = 61 cmFind the value of s:
[tex]\sf \implies s=\dfrac{a+b+c}{2}=\dfrac{35+54+61}{2}=75\:cm[/tex]
Substitute the values into the formula and solve for area:
[tex]\begin{aligned}\implies \sf Area & =\sf \sqrt{75(75-35)(75-54)(75-61)}\\& = \sf \sqrt{75(40)(21)(14)}\\& = \sf \sqrt{882000}\\& = \sf \sqrt{176400 \cdot 5}\\& = \sf \sqrt{176400}\sqrt{5}\\& = \sf 420\sqrt{5}\\& = \sf 939.15\:\:cm^2\:\:(2\:d.p.)\end{aligned}[/tex]
The altitude of a triangle is a perpendicular line segment drawn from a vertex of the triangle to the side opposite to it.
The shortest altitude of a triangle is drawn to the longest side.
Therefore, the shortest altitude will be the height of the triangle when the longest side is the base:
[tex]\begin{aligned}\textsf{Area of a Triangle} & = \sf \dfrac{1}{2} \times base \times height\\\implies \sf 420\sqrt{5} & = \sf \dfrac{1}{2} \times 61 \times altitude \\\implies \sf Altitude & = \sf \frac{2 \cdot 420\sqrt{5}}{61}\\& = \sf \dfrac{840\sqrt{5}}{61}\\ & = \sf 30.79\:\:cm\:\:(2\:d.p.)\end{aligned}[/tex]
Grady rode his bike 910 of a mile. Which of the following show this distance using decimal notation?
The distance Grad rode his bike 9 / 10 miles is represented in decimal as 0.9 miles.
What are decimal numbers?Decimal number are number whose whole number part and the fractional part is separated by a decimal point. Example of decimal numbers are 0.345, 7.45, 6.72 etc.
The distance Grad rode his bike is represented in fraction. The distance can be converted to decimal number as follows:
Distance in fraction = 9 / 10 miles
Therefore, the distance in decimal = 0.9 miles
learn more on decimal here: https://brainly.com/question/1645285
The function f (x) is given by the set of ordered pairs 1,0 (-10,2), (0,6) (3,17) (-2,-1) which equation is true
f(-10)=1
f(2)=-10
f(0)=6
f(1)=-10
please show work!!
Answer:
f(0)=6
Step-by-step explanation:
It should be the third one because it is the only one that has the x-value in the parentheses and equals the y-value. (I think please someone back me up)
Solve the system of equations.
2x−9y=14
x=−6y+7
Step-by-step explanation:
[tex]put \: x \: into \: equation \: 1[/tex]
[tex]2( - 6y + 7) - 9y = 14[/tex]
[tex] - 12y + 14 - 9y = 14[/tex]
[tex] - 21y + 14 = 14[/tex]
[tex] - 21y = 14 - 14[/tex]
[tex] - 21y = 0[/tex]
[tex] \frac{ - 21y}{12} = \frac{0}{21} [/tex]
[tex]y = 0[/tex]
[tex]put \: y = 0 \: into \: equation \: 2[/tex]
[tex]x = 6y + 7[/tex]
[tex]x = 6(0) + 7[/tex]
[tex]x = 0 + 7[/tex]
[tex]x = 7[/tex]
Answer:
y = 0
x = 7
Step-by-step explanation:
2x − 9y = 14 ⇒ ( 1 )
x = − 6y +7 ⇒ ( 2 )
First, let us find the value of y.
For that, replace x with ( - 6y + 7 ).
Let us take equation 1 for that.
2x − 9y = 14
2 ( - 6y + 7 ) - 9y = 14
-12y + 14 - 9y = 14
21y = 14 - 14
21y = 0
Divide both sides by 21.
y = 0
And now let us take equation 2 to find the value of x by replacing y with 0.
2x − 9y = 14
2x - 9 × 0 = 14
2x - 0 = 14
2x = 14
Divide both sides by 2.
x = 7
What is the amplitude of the function?
Answer:
2
Step-by-step explanation:
Take the absolute value of the lowest y value.
So
[tex] | - 1| = 1[/tex]
Take the absolute value of highest y value.
[tex] |3| = 3[/tex]
Add those two together and divide by two.
[tex] \frac{1 + 3}{2} = 2[/tex]
So the amplitude is 2
I don’t understand this question. Someone help pls
Answer:
49.67ft
Step-by-step explanation:
i used the internet, use it too
Determine the perimeter of the figure below:
6 cm
5 1/2
helpppp
Answer:
•SEE BELOW••WHAT IS PERIMETER?
>> PERIMETER MEANS THE SUM OF ALL SIDES OF FIGURE
NOW,LET'S SEE YOUR GIVEN QUESTION.
THE FIGURES 2 SIDES DATA IS GIVEN
•6CM
•5.5CM
THEREFORE : 6 + 5.5
: 11.5 CM
THE PERIMETER OF FIGURE IS 11.5 CM
Following is the probability distribution for age of a student at a certain public high school.
X
13
14
15
16
17
18
P(x) 0.09 0.22 0.24 0.28 0.15 0.02
(a) Find the variance of the ages. Round the answer to at least four decimal places.
The variance of the ages is
Considering the given discrete distribution, the variance of the ages is of 1.5844.
What is the mean and the variance of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The variance is given the sum of the difference squared between each outcome and the mean, multiplied by it's respective probability.In this problem, considering the distribution given in the table, the mean is given by:
[tex]E(x) = 13(0.09) + 14(0.22) + 15(0.25) + 16(0.28) + 17(0.15) + 18(0.02) = 15.39[/tex]
Hence, the variance is given as follows:
[tex]Var(x) = 0.09(13-15.39)^2 + 0.22(14-15.39)^2 + 0.25(15-15.39)^2 + 0.28(16-15.39)^2 + 0.15(17-15.39)^2 + 0.02(13-15.39)^2 = 1.5844[/tex]
More can be learned about discrete distributions at https://brainly.com/question/24855677
Kim has a cube that is 1 unit long, 1 unit wide, and 1 unit high. What is the
volume of Kim's cube?
Answer:
Volume of cube is width times length times height. So it's simply 1 unit × 1 unit × 1 unit = 1 unit³. Final answer: 1 unit³ (or 1 cubed unit).
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
multiply the length, width, and the height for the answer
is this is right please make it brainlyest!
Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?
A. -1/3
B. 3
C. 5
D. 6
E. -9
The x-coordinate of Q if the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5
Here, we have,
given that,
Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3,
Midpoint of a line
The formula for calculating the midpoint of a line divided in the ratio m:n is expressed as:
M(x,y) = (mx₂ + nx₁) / (m + n) , (my₂ + ny₁) / (m + n)
For the x-coordinate
X = (nx₁+mx₂/m+n)
let, the x-coordinate of Q = a
Substitute the given parameters
-1 = 3(-3) + 1(a) / 1+3
or, -1 = -9 + a/4
or, -4 = -9 + a
or, a = 5
Hence the x-coordinate of Q if the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5
Learn more on coordinate here:
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10 men can do the work in 8 days. how many men should be reduced to finish the work in 10 days
If Reducing 2 men will bbe enough too finish the work in 10 days
For rate of work use the formualar
rate of work = quantity of work / duration
10 men can do the work at a rate of = 1 / 8
x men can do same work at a rate of = 1 / 10
x * ( 1 / 8 ) = 10 * ( 1 / 10 )
x = 1 * 8 = 8
therefore 8 men can do the work in 10 days
number of men reduced = 10 men - 8 men = 2 men
Hope it helped
A cardboard box, which has the shape of a parallelepiped, has the following sizes: 35 cm by 27 cm
(rectangular base). The height of the box is - 27 cm. Calculate the volume of the box.
Answer:
25,515
Step-by-step explanation:
35 x 27 x 27
945 x 27
25,515
a 5 1/2 quart pot is filled 2/3 of the way with water. How many quarts of water can the pit hold?
Answer:
4 5/6 quarts or 4.83 quarts
Step-by-step explanation:
5 1/2 quart pot has an equal value to 11/2 quart pot
it is filled with 2/3 quarts of water
Therefore, the quarts of water the pot can hold is;
11/2 - 2/3
LCM = 6
11/2 - 2/3 ÷ 6
33 - 4 ÷ 6
29/6
:. 29/6 quarts(4 5/6 quarts or 4.83 quarts) of water is the amount needed to fill the 5 1/2 quart pot
Your puppy dug up two-thirds of the flowers in the flower bed that contained 18 flowers. How many flowers were dug up?
flowers
Answer:
12 :)
Step-by-step explanation:
18/3 = 6
Now we multiply :)
6 x 2 = 12
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
12
Step-by-step explanation:
2/3 of 18 =
1/3 of 18 = 6
(because 18 divided by 3 = 6)
2/3 of 18 = 1/3 + 1/3
therefore 2/3 of 18 = 6 + 6 = 12 (or 6 x 2)
Hope this makes sense! If you have further questions, let me know!
- profparis
a brainliest would be appreciated if i helped you! :D
Which expression is equivalent to z+z+z+z+3?
A. 7z
B. 4z + 3
C. 3z +4
D. z3
Answer:
4z+3
Step-by-step explanation:
multiply the z's giving four z's and we don't know the value of z so we can't add 3 to it