Answer:
This is done by stating descriptions of these terms.
Step-by-step explanation:
Undefinable terms are terms with no formal definitions. Formal definitions are obtained when specific words are used to define a term. In mathematics, specifically, Geometry words like line, point, and plane have no definite definition, So descriptions are used to identify them.
For example, in describing a point, we note that a point has no dimensions, it is usually denoted with a capital letter, and it indicates a position. Also in a coordinate plane, it is denoted with descriptions such as (u,v). Corresponding descriptions are given of other undefinable terms.
A species of phytoplankton measures about 2 × 10−6 in. A grain of sand measures about 1 × 10−4 in. About how many times longer is the grain of sand than the phytoplankton?
Answer : The grain of sand is 50 times greater than the phytoplankton.
Step-by-step explanation :
As we are given that:
Size of phytoplankton = 2 × 10⁻⁶ in
Size of sand grain = 1 × 10⁻⁴ in
Now we have to determine how many times longer the grain of sand is than the phytoplankton.
We are dividing the sand grain size by the phytoplankton size.
This can be done by equating it as follows:
[tex]\frac{\text{Size of sand grain}}{\text{Size of phytoplankton}}=\frac{1\times 10^{-4}in}{2\times 10^{-6}in}[/tex]
[tex]\frac{\text{Size of sand grain}}{\text{Size of phytoplankton}}=50[/tex]
Therefore, the grain of sand is 50 times greater than the phytoplankton.
A rectangle is 10 cm long and it's perimeter is 26cm . find the breath of the rectangle
Answer:
the width of a rectangular is 3 cm
Step-by-step explanation:
Length L = 10 cm
Perimeter P = 26 cm
Width W = ?
perimeter = 2L + 2W
26 = 2(10) + 2W
26 - 20 = 2W
6 = 2W
W = 6 / 2
W = 3 cm
therefore, the width of a rectangular is 3 cm
Write in an algebraic expression
1) x minus 4 is equal 27
2) n increased by 10 is equal to 43
3) the quotient of n and 8 is equal to 47
4) the quotient of a number and 5 is equal to 38
5) the product of k and 7 is less than or equal to 7
6) c decreased by 18 is less than 15
7) the n power of 6 is 39
8) the sum of w and 10 is equal to 19
9) the 9th power of n is equal to 42
Please help as soon as you can!
how to do this question plz answer me step by step plzz
Answer:
No
Step-by-step explanation:
First, figure out the circumference:
c=[tex]\pi[/tex]d
c=[tex]\pi[/tex]180=565.48
Then divide by the space needed:
565.48÷70=8.07
With 18 tables and 8 people per table:
18x8=144
So they only have seating for 144 guests.
Which decimals in the list are repeating decimals? 1/3 3/5 4/15 5/6 4/1000 1 3/4
Answer:
none
Step-by-step explanation:
1/3=0.33
3/5=0.6
4/15=0.26
5/6=0.83
4/1000=0.004
13/4=3.25
Answer:
To find a repeating decimal, divide the numerator by its denominator to find out if it is repeating.
1/3 = 0.333333...
3/5 = 0.6
4/15 = 0.26666...
5/6 = 0.833333...
4/1000 = 0.004
1 3/4 = 1.75
So, 1/3, 4/15, and 5/6 are repeating decimals.
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
Ryan is riding on a bike course that is 80 miles long. So far, he has ridden 56 miles of the course. What percentage of the course has Ryan ridden so far?
Hi :)
To find percentage, divide 56 by 80 and multiply by 100
To remember this, know that since 56 is of 80, of/number x 100 56/80 x 100
You should get something like 70, which happens to be your answer, 70%
Hope this helps,
Jeron
P.S (brainliest? only if i helped)
20.
If a train travels 40 mph for 12 hours, what is the total distance traveled?
A 30 miles
B 48 miles
C 300 miles
D 480 miles
Answer:
D 480 miles
Step-by-step explanation:
Distance = speed * time = 40*12 = 480 miles
Answer:
D. 480 miles
Step-by-step explanation:
Speed = 40mph
Time = 12 hours
Distance =?
[tex]distance = speed \times time \\ distance = 40 \times 12 \\ distance = 480 \: miles[/tex]
f(x) = x^2 + 3 g(x) = 4x - 3 Find (f°g)(-1)
a. 4
b. -52
c. -4
d. 52
Answer:
Step-by-step explanation:
g(-1) = 4(-1) - 3 = -4 -3 = -7
f(-7) = (-7)^2 + 3 = 49 + 3 = 52
Answer is D
If -4/3y=-3/4, then y =?
Step-by-step explanation:
y=-3/4 ÷ -4/3
y=+9/16
Answer:
So we have this equation:
[tex]\frac{-4}{3y}=\frac{-3}{4}[/tex]
We can multiply both sides by 4 and 3y:
[tex]\frac{-4*4*3y}{3y}=\frac{-3*4*3y}{4}[/tex]
[tex]-4*4=-3*3y[/tex]
[tex]-16 = -9y[/tex]
Now we divide both sides by 9:
[tex]\frac{-16}{-9}=y[/tex]
And we can remove the minus signs:
[tex]\frac{16}{9}=y[/tex]
If you mean [tex]\frac{-4}{3}y=\frac{-3}{4}[/tex]:
[tex]-4y*4=-3*3[/tex]
[tex]-16y = -9[/tex]
[tex]y=\frac{9}{16}[/tex]
Express the quotient of r to the power of six sevenths divided by r to the power of two sevenths as a radical
Answer:
See below (I hope this helps!)
Step-by-step explanation:
When dividing exponents of the same base, we can simply subtract the powers so the new power would be 6 / 7 - 2 / 7 = 4 / 7, hence we need to write [tex]r^{\frac{4}{7} }[/tex] as a radical. When writing fractional exponents as radicals, the denominator of the fractional exponent is the index of the radical and the numerator is the exponent of the base inside the radical, hence, our answer is [tex]\sqrt[7]{r^{4} }[/tex].
Fatima has 1/2 gallon of milk she wants to pour all milk into 6 glasses what fraction of a gallon should she pour into each glass
Answer:
4/5
Step-by-step explanation:
1/2÷6=0.8333333...
0.8333333...as a fraction is 4/5
Answer:
1/2
Step-by-step explanation:
6. Let f(x)=x-2 and g(x) = x^2. Find the value of (fog)(-1).
A. -1
B.9
C.3
D.-3
Answer:
The answer is option AStep-by-step explanation:
f(x) = x - 2
g(x) = x²
In order to find (fog)(-1) we must first find (fog)(x)
To find (fog)(x) substitute the g(x) into f(x) that's for every x in f (x) replace it with
g (x).
That's
(fog)(x) = x² - 2
To find (fog)(-1) substitute the value of x that's - 1 into (fog)(x)
We have
(fog)(-1) = (-1)² - 2 = 1 - 2 = - 1
Hope this helps you
4. which of the following is the correct notation for 15-sqr-32
5. which of the following is equivalent to sqr-63
Answer:
See below.
Step-by-step explanation:
4.
[tex] 15 - \sqrt{-32} = 15 - \sqrt{-1 \times 16 \times 2} = 15 - 4i\sqrt{2} [/tex]
5.
[tex] \sqrt{-63} = \sqrt{-1 \times 9 \times 7} = 3i\sqrt{7} [/tex]
6.
[tex] \sqrt{-100} + 26 = \sqrt{-1 \times 100} + 26 = 10i + 26 = 26 + 10i [/tex]
Solve Quadratic Equations by Factoring:
Solve by factoring and using the Zero Product Property:
1. 2x^2+3x-5=x^2+4x-5
2. 16x^2+5=4
3. X^2+45=20-10x
WILL MARK BRAINLIEST!!
Answer:
x = 0 or 1x = ±i/4x = -5 (twice)Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
__
2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
__
3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
If Mary and Tom put their money together they have £36. If Mary's money were halved and Tom's money doubled they would have £42. How much does each of them have? If you're answering, could you please show working out, thanks so much.
Answer:
Mary: £20
Tom: £16
Step-by-step explanation:
Let x=the number of £ Mary has and y=number of £ Tom has.
x+y=36 ==>x=36-y
x/2+2y=42 ==> x+4y=84
36-y+4y=84
36+3y=84
3y=48
y=16
x+y=36, so x+16=36, so x=20
5. Let f(x) = x - 2 and g(x) = x^2. Find the value of (g of)(4).
A.14
B.4
C. 62
D.32
Answer:
B. 4
Step-by-step explanation:
(g o f)(x) means that we put the expression for f(x) in for x in g(x):
(g o f)(x) = g(f(x)) = (x - 2)²
We want to find (g o f)(4), so plug 4 in for x:
(g o f)(x) = (4 - 2)² = 2² = 4
The answer is thus B.
~ an aesthetics lover
Given x =-2 and y = -1, evaluate the expression 3x^2 - 2y.
Answer:
13
Step-by-step explanation:
3(-2)^2-2(-1)
3(4)+2
12+1
13
easy 10 points and brainliest :)
Answer:
on the x-axis
Step-by-step explanation:
If x is less than 0, that means it's to the left of the origin, and if y = 0, then that means the point lies on the x-axis. Hence, (x,y) is on the x-axis.
Cheers.
A cube with an edge of length has a volume of 64 units. What is the length of ? Hint: Volume of a cube is LxWxH.
Answer:
it is 4
Step-by-step explanation:
Find the angles x and y in following figure.....correct answer will be mark BRAINLIEST and be followed...
Answer:
<CTS=180-(35+31) (sum of <s in a triangle)
=180-66
=114 degrees
x=180-114 (angles on a straight line)
x=66 degrees
<TSR=180-(30+36)
=180-66
=114 degrees
<TSA=180-114
=66 degrees
y=180-(66+66)
y=180-132
y=48 degrees
Dana recorded a temperature drop of 20 and a second temperature drop of 30. What is the total change in temperature
Answer: -50
Step-by-step explanation:
-20 + -30 = -50
The total change in temperature that Dana recorded will be -50 or a drop of 50.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
First temperature drop = -20
Second temperature drop = -20
Total drop = -20 - 20 = -40
Hence "The total change in temperature that Dana recorded will be -50 or a drop of 50".
For more about the number system,
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10 less than a number is the same number doubled. What is the number?
Answer:
-10
Step-by-step explanation:
Let x = number
10 less than a number is the same number doubled
x-10 = 2x
Subtract x from each side
x-10-x = 2x-x
-10 = x
The number is -10
Been having a lot of trouble with this please help!
Answer:
A
Step-by-step explanation:
The domain of a graph is the span of x-values (or t-values in this case) it covers.
From the graph, we can see that the graph stretches from t=0 to t=14.
Also, note that since the endpoints are closed circles, we will include them within our domain.
Therefore, our domain is all values greater than or equal to 0 and less than or equal to 14.
In set notation, this is:
[tex]\{t|0\leq t\leq 14\}[/tex]
So, our answer is A
:)
Answer:
A
Your answer is A.
What is greater 2 1/8 or 2 2/15
Answer:
If you would round off both set of fractions it will be equals. They are equivalent
Step-by-step explanation:
2 1/8= 2.125
2 2/15=2.1333
I NEED HELP PLEASE !!!!
Answer:5/9
Step-by-step explanation: because yeah
The unit rate of change of Y with respect to X is the amount Y changes for a change of one unit in X
The table below represents a proportional relationship with a constant unit rate of change of Y with respect to X
Which describes a greater unit rate of change of Y with respect X, the equation y=0.25x or the table?
Choose 1 answer:
A. The table
B. The equation
C. The unit rates are the same
By calculating the slope, we can say that the table best describes the change in Y with respect to X.
What is slope?Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Equation of line is y = mx + c where m is the slope.
Similarly, in y = 0.25x, 0.25 is the slope.
For the table, we need to calculate slope.
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
[tex]m = \frac{0.8-0.4}{2-1}[/tex]
m = 0.4
As we compare, it is clear that the slope calculated from the table is greater.
Learn more about slope here
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Jai and kim need to collect cans of food for a food drive. Jai collect 65/100 of the total cans needed, and kim collects 2/10 of the total cans needed. What fracion of the total number of cans did they collect altogetther
Answer:
17/20
Step-by-step explanation:
Add 65/100 to 2/10
65/100 + 2/10 = 65/100 + 20/100 = 85/100 = 17/20They collected 17/20 of cans of food altogether
A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0). What is the domain of the function shown in the mapping? {x | x = –5, –3, 1, 2, 6} {y | y = –9, –6, 0, 2, 4} {x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6} {y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}
Answer:
{x | x = –5, –3, 1, 2, 6}
Step-by-step explanation:
The domain is the list of first-values of the ordered pairs:
{x | x = –5, –3, 1, 2, 6}
Answer:
{x | x = –5, –3, 1, 2, 6}
Step-by-step explanation:
took the test
Help...!!!!!!!!!!!!!!!!!!!!!
Answer:
33b-8
Step-by-step explanation:
We want to find the perimeter
Add up all three sides
P = 12b-8 + 12b -8 + 9b+8
Combine like terms
P = 33b-8
What is 3 2/5 as a decimal?
Answer:
3.4
Step-by-step explanation:
2/5 as a decimal is 0.4, and we can add 3 to it, getting 3.4