Answer:
a) 2*a*b - a/b
b) c² + d + 2*c*d
c) c + c²
d) (1 + b)/(2*b)
e) p*q - 3*(p+q)
f) n²/(n+5)³
Step-by-step explanation:
We can divide each statement into its parts, as follows:
a) The difference between:
twice the product of a and b: 2*a*band the quotient of these numbers: a/bb) The sum of:
square of c: c²and d increased by twice their product. d+2*c*dc) The sum of:
a number c: cand its square: c²d) The quotient of:
the number that is 1 greater than a number b: 1 + band the number that is twice as large as b: 2*be)
The product of two numbers, p and q: p*qdecreased by three times their sum: 3*(p+q)f) The quotient of:
the square of a number n: n²and the cube of n increased by 5: (n+5)³All the algebraic expressions are written as,
a) 2ab - (a/b)
b) c² + d + 2cd
c) c + c²
d) (1 + b)/(2b)
e) pq - 3(p+q)
f) n²/(n+5)³
Used the method of a mathematical expression,
Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, simplify all the expressions for mathematical form as,
a) The difference between twice the product of a and b and the quotient of these numbers.
Here, twice the product of a and b is,
2 × (ab)
And, the quotient of these numbers is,
a/b
Hence, it can be written as,
[tex]2ab - \dfrac{a}{b}[/tex]
b) The sum of squares of c and d increased by twice their product.
Here, d increased by twice their product is,
d + 2cd
And, The sum of squares of c and d increased by twice their product is,
c² + (d + 2cd)
c) The sum of a number c and its square is,
c + c²
d) Now, the number that is 1 greater than a number b is,
1 + b
And the number that is twice as large as b,
2b
So, The quotient of the numbers,
(1 + b)./2b
e) Now, The product of two numbers, p, and q is,
p × q
And, it is decreased by three times their sum:
p × q - 3 (p+q)
pq - 3 (p + q)
f) Now, the square of a number n is, n²
and the cube of n increased by 5 is, (n+5)³
So, The quotient is,
n² / (n + 5)³
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Sara's little brother is getting ready to color a picture of a rainbow that Sara drew for him. To make the task easier for her brother, Sara picks out
7 different colored crayons that match the colors of the rainbow and places them in a box. She asks her brother to randomly pick two crayons
from the box, one after the other.
The probability that the first color is violet and the second is orange, If the first crayon is replaced, is
The probability that the first color is violet and the second is orange, If the first crayon is not replaced, is
Answer:
1/14 or 7%.
Step-by-step explanation:
violet crayon probability: 1/7
Orange probability: 1/7
Violet, then orange probability: 1/14
1/14 = about 7%
The radius of a circle is 10 ft. Find its area in terms of pi
Answer:
314.16ft²
Step-by-step explanation:
A = πr² = π · 10² ≈ 314.15927ft²
Answer:
100π ft²
Step-by-step explanation:
r= 10 ft
A= πr²= π*10²= 100π ft²
Check all of the ordered pairs that satisfy the equation below.
y= 7x
Answer:
Step-by-step explanation:
im pretty sure its A, B, D
Hope this helps!
-Delilah
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your results to the nearest hundredth 180
Answer:
Option A. (-1, 0)
Step-by-step explanation:
In the figure attached,
Circle O is a unit circle (having radius r = 1 unit)
If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,
x = r.cosθ
x = 1.cosθ = cosθ
and y = r.sinθ
y = 1.sinθ = sinθ
Therefore, coordinates representing the point A will be (cosθ, sinθ).
As per question the given point A is lying at P (a point having central angle θ = 180°)
Coordinates of point P will be
(x', y') → (cos180°, sin180°)
→ (-1, 0)
Therefore, Option A will be the answer.
Verify the identity and explain how cot(x- pi/2)= -tan x
Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
Which of the following statements is true about the function presented in the table?
a. The slope of the function is 4 and the y-intercept is 2.
b. The slope of the function is 4 and the y-intercept is -2.
c. The slope of the function is -2 and the y-intercept is 4.
d. The slope of the function is 2 and the y-intercept is 4.
Answer:
C. The slope of the function is -2 and the y-intercept is 4.
Explanation:
The y-intercept is the point when x = 0. On the table when x is 0, y is 4.
The slope of the function is -2 because the y value is going down by 2 for each +1 of x.
x │ y
-2 │ 8
0 │ 4
↓ +1 ↓ -2
1 │ 2
↓ +1 ↓ -2
2 │ 0
Daja is paid $12.45 an hour. Dahja worked overtime and gets paid double time. What is her double time pay rate? *
Answer: Her double time pay rate = $24.9 per hour.
Step-by-step explanation:
We have given that, Daja is paid $12.45 an hour.
In other words, her usual time pay rate = $12.45 per hour
Also, If Dahja worked overtime and gets paid double time.
Then, her double time pay rate = 2 x (usual time pay rate) [as double means 2 times]
= 2 x $12.45 per hour
= $ 24.9 per hour
Hence, her double time pay rate = $24.9 per hour.
i.e. Daja is paid $24.9 an hour for overtime.
The answer Is no A
please help
Answer:
the answer is d
\can i get a brainliest pls
Jerry borrowed $8,000 for 5 years at 6.5% simple interest rate. How much interest is that?
The answer is $2600
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
$ 2600Step-by-step explanation:
[tex]p = 8000 \\ r = 6.5\% \\ t = 5 \: \: years[/tex]
[tex] \frac{prt}{100} \\ = \frac{8000 \times 6.5 \times 5}{100} \\ = 2600[/tex]
Evaluate the expression 3.5x when x is 2.
Answer:
X= 7
Step-by-step explanation:
Since x= 2 you would plug it in 3.5 times 2 = 7
Answer:
7
Step-by-step explanation:
When solving 2(x + 5) = −8, the property used in the first step is the ___________. answers: distributive property substitution property addition property transitive property
Answer:
Distributive property.
Step-by-step explanation:
The 2 is being distributed to the x and 5
It's the first step due to PEMDAS (Parenthesis first)
What is the slope-intercept equation of the line below?
A high school basketball team won exactly 85% of the games they played the last season. Which of the following could be the total number of games the team played last season
Answer:
sorry just saw the choices now. Okay here is the answer.
b=40
Step-by-step explanation:the answer is 40 because if u do .85*40 that gives u 34 the rest of them will just give you a decimal number and u can't have that for the amount of games. Hope it helps.
A cone with a diameter of 6 centimeters and a height of 8 centimeter is drilled into a wooden cube with sides measuring eight centimeters, find the volume of the wood that remains?
We began be finding the volume of each shape, the we subtracted the volume of the cone from the volume of the cube.
Volume of wood that remain = 436.6 cm^3
Volume of SolidsGiven Data
Diameter of cone = 6 cmRadius = 3 cmHeight of cone = 8 cmDimension of Cube = 8 cmLet us find the volume of the cone
Volume of cone = πr^2h/3
Volume of cone = 3.142*3^2*8/3
Volume of cone = 3.142*9*8/3
Volume of cone = 226.224/3
Volume of cone = 75.408cm^3
Let us find the volume of the cube
Volume of cube = L^3
Volume of cube = 8^3
Volume of cube = 512cm^3
Hence the volume of the wood that remains
= volume of cube - volume of cone
= 512 - 75.408
= 436.6 cm^3
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How many ways are there of arranging three different Math books, five different History books and four different Science books side by side on a shelf if books of the same subject must be together?
Answer:
There are 34560 ways the books can be arranged.
Step-by-step explanation:
I crank my 90s like fazeway
Will mark brainliest for whoever answers
Answer:
x=1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
2-x = 3-(7-3x)^0.5
-1-x = -(7-3x)^0.5
1+x = (7-3x)^0.5 // ()^2
(1+x)^2 = 7-3x
1+2x+x^2 = 7-3x
x^2+5x-6= 0
(x+6)(x-1) =0
x= 1,6
but you need to see if the solution solve it cause when you ()^2 the sequence you might add up another solution that isn't true. so if you'll see 6 doesn't solve it (try it) so the answer is 1
Find x in the given figure. answers : 55° 125° 35° 60°
Answer:
Step-by-step explanation:
<6= 125 degrees
<3 = 125 degrees
x = 55 degrees
Answer:
Step-by-step explanation:
55° and ∠4 are corresponding angles made by parallel lines. Therefore, they're congruent.
∠4 = 55°
Lines s and t are parallel lines and ∠4 and x are the interior angles at the same side of the transversal l. Therefore, they're supplementary.
∠4 + x = 180°
55° + x = 180°
x = 180° − 55° = 125°
Solve the following system of equations:
x + 3y = −4
x + 5y = −6
pls and thx
Answer:
x = -1 y = -1
Step-by-step explanation:
x + 3y = −4
x + 5y = −6
Multiply the first equation by -1
-x - 3y = 4
The add to the second equation to eliminate x
-x - 3y = 4
x + 5y = −6
--------------------
2y = -2
Divide by 2
2y/2 = -2/2
y = -1
Now solve for x
x+3y = -4
x +3(-1) = -4
x -3 = -4
Add 3 to each side
x-3+3 = -4+3
x = -1
Answer:
work is pictured and shown
How would you graph y = -3x + 4? (With visual, please; will give brainliest!)
Answer:
Step-by-step explanation:
1. Start with the y-intercept, (0,4), plot it on the y-axis.
2. Then using the slope you can find more points on the graph.
- Start with simple x coordinates such as 1,2,3...
- plug each into the equation to find the y cooridnate that makes the x coordinate true.
- write each as a coordinate pair and then plot each pair on the graph.
( you may want to use some negative values for x in order to have ease graphing)
- once you have as many points as you desire, must have atleast 2, draw a line connecting each point.
HELP 50 POINTS FOR ANSWERING
Answer:
see below
Step-by-step explanation:
P( math or english) = number of math or english / total
This would include the people that studied both (20+11+39)
= 70/100
P( math and english) = number of math and english / total
This is the people that studied both
= 11/100
P( math or english but not both) = number of math or english / total
This includes only the people that study one or the other but not both (20+39)
= 59/100
Answer:
[tex]\boxed{\sf {view \: explanation}}[/tex]
Step-by-step explanation:
[tex]\sf a) \ \frac{maths+english }{total}[/tex]
[tex]\sf \frac{20+11+39}{100} =\frac{70}{100}[/tex]
[tex]\sf b) \ \frac{intersection \ of \ math \ and \ english }{total}[/tex]
[tex]\sf \frac{11}{100}[/tex]
[tex]\sf b) \ \frac{excluding \ intersection \ of \ math \ and \ english }{total}[/tex]
[tex]\sf \frac{20+39}{100} =\frac{59}{100}[/tex]
Write the slope intercept form Through:(-1,0) and (-5,-5)
Answer:
[tex]y=\frac{5}{4} x + \frac{5}{4}[/tex]
CAN SOMEONE help me with my homework, is there an association between extra practice time and being a starting player explain
Put the following numbers in order from smallest to largest, with the smallest value at the top of the list.
0.085
1/3
60%
2/5
3/4
1.05
78%
Answer:
The right order is:
0.0851/32/560%3/478%1.05Step-by-step explanation:
To identify the right order of the numbers given in order from the smallest to largest, you first must convert all the numbers to the same mode (fractions, decimals or percentages), in this case, I will transform all the numbers to decimals, for this you must divide the fractions or operate the percentages, and you will obtain:
0.085 = 0.085 1/3 = 0.33333333333 60% = 0.6 2/5 = 0.4 3/4 = 0.75 1.05 = 1.05 78% = 0.78How you can see, in this form is easier than the original form, now you can identify that 2/5 (0.4) is smaller than 60% (0.6) and 1.05 is bigger than 78% (0.78).
Answer:The right order is:
0.085
1/3
2/5
60%
3/4
78%
1.05
Step-by-step explanation:
f(x) = 3x + 2 and g(x) = x + 5
g[f(x)] =
A. 3x + 7
B. 3x + 17
C. 4x + 7
Answer:
A
Step-by-step explanation:
g[f(x)]=g(3x+2)=3x+2+5=3x+7
The function defined by g[f(x)] is equal to 3x+7. hence the correct option is A.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We have been given the function as
f(x) = 3x + 2 and g(x) = x + 5
We need to find the function defined by g[f(x)]
g[f(x)] = g(3x+2)
g[f(x)] =3x+2+5
g[f(x)] = 3x+7
Therefore, the function defined by g[f(x)] is equal to 3x+7. hence the correct option is A.
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1. What is the average of 12, 43, 51, 62?
A 32
B51
C42
D 36
NEED HELP!
Answer:
42
Step-by-step explanation:
Average =
Sum of the terms/ number of terms
Terms here refers to the data or the values given
So,
The sum is 12+43+51+62= 168
The number of terms is 4
Therefore the average is,
168/4
= 42
Answer:
42
Step-by-step explanation:
Average =
Sum
/Count
=
168/4
= 42
MARK ME BRAINLIEST
Please help me answer this question
Answer:c
Step-by-step explanation:
4/3 times pi times 7 cubed
I need an answer ASAP!!!!!!!!!
The circle below is centered at the point (2,-1) and has a radius of length 3. What is its eqaution
Answer:
(x - 2)² + (y + 1)² = 9
Step-by-step explanation:
Circle equation: (x - h)² + (y - k)² = r²
Simply plug in your center (h, k) and your radius r and you have you final answer!
please help math asap! #4!
Answer:
k=9
Step-by-step explanation:
m=–4=slope
slope formula= m = (y1–y2)÷(x1-x2)
In this case, we are missing the value of y1, so we just need to isolate it:
–4=(k–1)/(2-6)
simplify parentheses
–4=(k–1)/–2
multiply by –2 on both sides
8=k–1
add 1 to both sides
k=9
Thank You
Which system of inequalities has a line as a solution?
2x + 4y23
2x+4y S3
2x + 4y 23
2x + 4y > 3
2x + 4y > 3
2x + 4y <3
DONE
Answer:
Yeah it's A, on my mama
2x + 4y >_ 3
2x+4y<_3
Answer:
First option ( Did it on edge
Step-by-step explanation:
PLEASEEE HELPP!! Work must be shown for this problem! The figure shown below is a square.
Answer:
x=25
Step-by-step explanation:
4x-10=90
4x=100
x=25
Answer:
25
Step-by-step explanation:
We know that m∠9 is 90° because the diagonals of a square are perpendicular.
4x - 10 = 90
4x = 100
x = 25°
