Answer:
6m -22
Step-by-step explanation:
(m - 7) + 5(m - 3)
= m - 7 + 5m - 15
= 6m -22
Answer: 6m-22
Step-by-step explanation:
Given
(m-7)+5(m-3)
Take off parentheses/distributive property
= m-7+5m-15
Move like terms together
=m+5m-7-15
Combine like term
=6m-22
Hope this helps!! :)
Please let me know if you have any question
Match the verbal expression to its correct algebraic expression. Five more than the square of a number Five more than twice a number Five less than the product of 3 and a number Five less the product of 3 and a number Twice the sum of a number and 5 The sum of twice a number and 5 The product of the cube of a number and 5 The cube of the product of 5 and a number.
Answer:
[tex]x^{2}[/tex]+5
2x+5
3x-5
2(n+5)
3([tex]x^{3}[/tex]+5)
5x(x^3)
Step-by-step explanation:
f(x)= 2x+5, g(x)=x+10, f-g (x)
Answer:
x -5
Step-by-step explanation:
f(x)= 2x+5, g(x)=x+10,
f-g (x) = 2x+5 - (x+10)
Distribute the minus sign
= 2x+5 - x-10
=2x-x +5-10
Combine like terms
x -5
What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed use inf or -inf Format like this: D: (0,1000) R: (-inf,1000) **note the spaces after and after domain, but no spaces inside intervals.
Answer:
DOMAIN: [tex](-\infty,1]\cup(2,\infty)[/tex]
RANGE: [tex](-\infty,\infty)[/tex]
Step-by-step explanation:
The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.
DOMAIN:
From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.
However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.
So, our domain is all values greater than or less than 1, and all values greater than 2.
In interval notation, this is:
[tex](-\infty,1]\cup(2,\infty)[/tex]
We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.
RANGE:
Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.
Our range is all real numbers.
In interval notation, this is:
[tex](-\infty,\infty)[/tex]
Given m∠JML = 80 and m∠KML = 33, what is m∠JMK
Answer:
47°Step-by-step explanation:
Given m∠JML = 80 and m∠KML = 33, to calculate the value of angle m∠JMK, we will apply the formula since all the angles are all acting at point M.
m∠JML = m∠JMK+m∠KML
Substituting the values given into the equation;
80 = m∠JMK + 33
subtract 33 from both sides of the equation
m∠JMK = 80-33
m∠JMK = 47°
Hence the value of angle m∠JMK is 47°
Please help me!! the pic with the graph is the question & the other 2 pics are the numbers given to me!! pls help
This question was answered earlier at this link below
https://brainly.com/question/17274617
Let me know if you have any questions about any of the steps.
Describe how to draw a tape diagram to represent and answer 3÷3/5=? 3 ÷ 3/5 = ? for a friend who was absent.
Answer:
The numerical answer is 5
Please see the tape diagram evolution in the attached image
Step-by-step explanation:
Start by drawing three unit tapes, and divide each one of them in 5 equal parts since we need to be dividing the quantity 3 by 3/5 (denominator 5)
In the second step, join the three tapes in one long one maintaining the original divisions.
In the third step, select groups of 3 divisions (recall you need to divide by 3/5) which will identify in your tape how many of these 3/5 groups you have.
Finally count the number of 3/5 groups you found in the collection of the three original tapes placed together. You should count a total of 5 of these 3/5 groups.
5 then tells you what is the quotient of 3 divided in 3/5
Expand (a+b)3 in descending powers of a
==================================================
Explanation:
The coefficients of each term, from left to right are 1, 3, 3, 1
These coefficient values are found in Pascal's triangle in the third row.
The variable terms will have variable terms in the form a^m*b^n. To start off, m = 3 and n = 0 to get a^3*b^0 = a^3*1 = a^3. From there you will have m count down (3,2,1,0) and n will count up (0,1,2,3)
So for the second term we have m = 2 and n = 1 to get the variable term a^2*b^1 = a^2b
The third term has m = 1 and n = 2 to get the variable term a^1*b^2 = ab^2
Finally the last term has m = 0 and n = 3 to get a^0*b^3 = 1*b^3 = b^3
Those variable terms are them multiplied with the coefficients mentioned previously to get the final answer.
--------------------------
Another way you can do this problem is to use the distributive property and FOIL rule
(a+b)^3 = (a+b)(a+b)^2
(a+b)^3 = (a+b)(a^2+2ab+b^2) .... FOIL rule
(a+b)^3 = a(a^2+2ab+b^2) + b(a^2+2ab+b^2) ... distribute
(a+b)^3 = a*a^2+a*2ab+a*b^2 + b*a^2+b*2ab+b*b^2 ... distribute again
(a+b)^3 = a^3 + 2a^2b + ab^2 + a^2b + 2ab^2 + b^3
(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
Hello! I need some help figuring out what 12 x 6,012 is. Ty!
Answer:
12 times 6012 u can type in calculator is 72144
Answer:
72144 is the answer.
Hope this helps
19) If x an y are odd numbers which of the following is even?
a)(X+y)/3
b) (x+y) x^y
c) x^y
d)x^y/2
Answer:
(x+y)x^y
Step-by-step explanation:
i hope it helped you. thankyou
What is the half of 21 in a radius
Answer:
Half of 21 in a radius is 10.5.
Answer:
21/2=10.5
Step-by-step explanation:
21/2
In the ordered pair 7 and 12, 12 is the y-coordinate or x-coordinate
Answer:
y-coordinate
Step-by-step explanation:
Ordinated pair means coordinates of some point in coordinate system. The first always is x-coordinate and the second is y-coordinate.
(7,12) means 7 is x-coordinate and 12 is y-coordinate
This set has me absolutely confused. Can anyone help with the first problem?
Answer:
The other endpoint is ( -1,15)
Step-by-step explanation:
21.
The x coordinate of the midpoint is the sum of the x coordinate of the endpoints divided by 2
(-5 +x)/2 = -3
Multiply each side by 2
-5+x = -6
Add 5 to each side
-5+x+5 = -6+5
x = -1
The y coordinate of the midpoint is the sum of the y coordinate of the endpoints divided by 2
(-1 +y)/2 = -8
Multiply each side by 2
-1+y = -16
Add 1 to each side
-1+y+1 = -16+1
y = -15
The other endpoint is ( -1,15)
the diagram shows a triangle. work out the area of the triangle.
Answer:
30cm^2
Step-by-step explanation:
area of triangle = bxh/2
12x5=60/2=30cm^2
Answer:
My answer is 30.
Step-by-step explanation:
Area of a triangle is 1/2×b×h or b×h/2.
The base in the diagram is 12 and the height is 5. then 12×5=60 then 60÷2=30....Thank you for the question....
can you please help
Answer: 3x -4
Step-by-step explanation:
Write 2.3181818... as a mixed number.
What is the slope m of a line that is perpendicular to the line represented by x = 8? (If an answer is undefined, enter UNDEFINED.)
Answer:
slope = 0
Step-by-step explanation:
x = 8 is a vertical line parallel to the y- axis
A line perpendicular to it is a horizontal line parallel to the x- axis.
The x- axis has a slope of zero thus the line perpendicular to x = 8 is zero
The slope of a line is simply the ratio of a change in the vertical axis to the horizontal axis. The line perpendicular to [tex]x = 8[/tex] has a slope of 0
Given that
[tex]x = 8[/tex]
See attachment for the line of [tex]x = 8[/tex]
First, we determine the slope of [tex]x = 8[/tex]
The slope of a line (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]x = 8[/tex] means that, the value of x is always 8; irrespective of the y-value.
So:
[tex]x_2 = x_1 = 8[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{y_2 - y_1}{8-8}[/tex]
[tex]m = \frac{y_2 - y_1}{0}[/tex]
Assume the slope of the line perpendicular to [tex]x = 8[/tex] is [tex]m_2[/tex].
[tex]m_2[/tex] is calculated as follows:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute [tex]m = \frac{y_2 - y_1}{0}[/tex]
[tex]m_2 = -\frac{1}{(y_2 - y_1)/0}[/tex]
This gives
[tex]m_2 = -\frac{1\times 0}{y_2 - y_1}[/tex]
[tex]m_2 = -\frac{0}{y_2 - y_1}[/tex]
[tex]m_2 = -0[/tex]
[tex]m_2 = 0[/tex]
The slope of the line perpendicular to [tex]x = 8[/tex] is 0.
Read more about slopes at
https://brainly.com/question/3605446
Adam would like to build a deck thatbis 60,feet long by 8 feet hiw much wood would he need
Answer:
136 ft of woods
Step-by-step explanation:
1. Let us assume that we are solving for the frame of the deck alone
2. And also from the given parameters the deck has a rectangular shape
we know that the total amount of woods to be used is same as the perimeter of the rectangle.
Given that
length l= 60 ft
width w= 8 ft
The formula for the perimeter of a rectangle is given as
Perimeter= 2l+2w
perimeter= 2*60+ 2*8
perimeter= 120+16
perimeter= 136 ft
Hence in other to construct the frame of the deck Adam needs a total of 136 ft of woods
42 divided by (14-6)
Answer:
5 r 2
Step-by-step explanation:
Which equation shows that z is directly proportion to the cube of x and inversely
proportional to the square of y?
Answer:
z = [tex]\frac{kx^3}{y^2}[/tex]
Step-by-step explanation:
Given that z is directly proportional to x³ and inversely proportional to y²
Then the equation relating them is
z = [tex]\frac{kx^3}{y^2}[/tex] ← k is the constant of proportionality
What is 0.895 repeating simplified in a fraction
Answer:
[tex]\dfrac{887}{990}[/tex]
Step-by-step explanation:
Multiply by 100, subtract the original and divide the result by 99.
[tex]x=0.8\overline{95}\\100x=89.5\overline{95}\\100x-x=89.5\overline{95}-0.8\overline{95}=88.7\\99x=88.7\\\\x=\dfrac{88.7}{99}=\boxed{\dfrac{887}{990}}[/tex]
A veterinarian is visited by many pets and their owners each day. Before the doctor attends to each pet, an assistant
records information including the type, age, weight, and height of each pet. Which of the variables is a categorical
variable?
The correct answer is Type
Explanation:
Categorical variables differ from other types of variables because these involve categories or defined groups. For example, sex is a categorical variable because in a population individuals are either classified as females or males (categories). This concept applies to types of pets because this variable involves categories or defined groups such as dogs, cats, hamsters, turtles, etc. Also, other variables such as age, weight, or height are not naturally categorical because these can be understood using numbers rather than categories.
Answer: The answer is definitely TYPE
Step-by-step explanation: For example the brand of a car is a category. You could have a Toyota. Toyota is a category of a car. Therefore, this can be applied in this problem; the Type of a pet is a category. The pet could be a dog or a cat e.t.c.
11. Listed below are the temperature in °C for 10 days.
-6.-8. 0. 3. 2. 0. 1, 5, 4, 4
What is the range of the data?
Answer:13
Step-by-step explanation: range is the biggest value - the smallest value, in this case, the biggest value= 5 and the smallest value= -8 so, 5--8= 5+8 ( when it is a minus minus it is automatically changed to a plus)= 13.
12. How does the sum of the exterior angles of a square compare to the sum of the exterior angles of a pentagon?
A The sum of the exterior angles of a square is greater.
B The sum of the exterior angles of a pentagon is greater.
C The two sums are equal.
D There is not enough information to compare the two sums.
Answer:
Option C.
The two sums are equal.
Step-by-step explanation:
In geometry, the sum of the exterior angles of any polygon will always give 360 degrees. This is regardless of the type of polygon, whether it is a triangle, quadrilateral, pentagon, or a decagon.
This means that the sum of the exterior angles of a square is equal to that of the pentagon.
As the number of sides that they have increases, the sizes of their internal angles get smaller, making the sum of their external angles remain at 360 degrees
which of the following is equivalent to complex number i6 ?
A 1
B i
C -1
D -i
Answer:
-1
Step-by-step explanation:
solve for x by first setting up two equations. Then find the PRODUCT of your solutions |2x+5|=7
Answer: see below
Step-by-step explanation:
|2x+5|=7
2x+5=±7 ⇔ since the absolutely value of any number is all positive, so the value in side can be either positive or negative
2x+5=7 or 2x+5=-7
2x=2 2x=-12
x=1 or x=-6
----------------------------------------
The product of the two solutions
1 × -6=-6
Hope this helps!! :)
Please let me know if you have any question
Answer: 2x−5=7 and 2x−5=−7
let f(x) = 12/4x+2. find f(-1)
Which transformation describes the photograph? Select all that apply. The panels on the right side are a translation of those on the left side. The panels on the right side are a rotation of the those on the left side. The panels on the left side left side are a dilation of those on the right side. The top is a reflection of the bottom. The left side is a reflection of the right side.
Answer:
The left side is a reflection of the right side
Step-by-step explanation:
The photo has a vertical line of symmetry down the middle. There are no other points or lines of symmetry. The left side is a reflection of the right side.
please help! answer and explanation please!
Answer:
2.15d+3.12 = 11.72
Step-by-step explanation:
The total cost is found by adding the costs of the donuts and the cost of the drink
The donuts cost 2.15 per donut = 2.15d
The drink is 3.12
She spent 11.72
2.15d+3.12 = 11.72
Answer: 4 dounts
Step-by-step explanation:
2.15d + 3.12 = 11.72
- 3.12 -3.12
2.15d = 8.6
8.6/2.15 = 4
That's how you get 4 donuts. Please mark brainliest.
Round 72895.4177829 to the nearest ten.
The resulting number is 72895.5.
To round the number given on statement we must truncate all digits that are less than a tenth and ascend the tenth digit to its next one. Please notice than tenth digits is the digit right after the separator.
Step 1 - Truncate digits less that a tenth:
[tex]x = 72895.4[/tex]
Step 2 - Ascend the tenth digit to its next one:
[tex]x = 72895.5[/tex]
We kindly invite to see this question related to rounding: https://brainly.com/question/2323275
PLEASE PLEASE PLEASE HELP ME!
Answer: 50 Minutes = 309 gal
Step-by-step explanation: Every 10 minutes the amount of water goes up by 18, so after 50 minutes the water would be equivalent to 309 gallons.
Answer:
[tex]y=1.8x+219[/tex]
309 gallons
Step-by-step explanation:
So to find the linear equation, we can use the data from the table.
First, use the data from the table to find the slope. Pick any two points. I'm going to use (10,237) and (20,255).
Let (10,237) be x₁ and y₁ and let (20,255) be x₂ and y₂.
The formula for slope is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\frac{255-237}{20-10}[/tex]
Simplify:
[tex]m=18/10=1.8[/tex]
Thus, the slope is 1.8. This means that 1.8 gallons of water flow into the tank every minute.
Now, let's find the slope-intercept. To do this, we can use the point-slope form. The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Let's use (10,237) for consistency. Plug in 237 for y₁ and 10 for x₁. Also use 1.8 for m. Thus:
[tex]y-237=1.8(x-10)[/tex]
Distribute:
[tex]y-237=1.8x-18[/tex]
Add 237 to both sides:
[tex]y=1.8x+219[/tex]
What this means is that there is initially 219 gallons of water in the tank already. Every minute, 1.8 gallons is added further.
And that's our linear equation :)
So, to find the amount of gallons after 50 minutes, plug in 50 for x and solve:
[tex]y=1.8(50)+219\\y=90+219=309[/tex]
After 50 minutes, there will be 309 gallons of water.