A rectangular wall is 4x-5 units high and 2x+7 units long. Which polynomial best represents the area of the wall in square units?
Answer:
8x^2 + 18x - 35.
Step-by-step explanation:
Area = (4x - 5)(2x + 7)
= 8x^2 + 28x - 10x - 35
= 8x^2 + 18x - 35.
What is the distance between the points? Round to the nearest tenth if necessary.(-4,-8) (2,2)
Answer: [tex]2\sqrt{34}[/tex] or, as a decimal, 11.7.
Step-by-Step Explanation:
1. Use the distance formula and substitute the values of the two ordered pairs.
[tex]\sqrt{(2-(-4))^{2}+(2-(-8))^{2}}[/tex]...
2. Multiply -1 by -4.
[tex]\sqrt{(2+4)^2+(2-(-8))^2\\}[/tex] ...
3. Add 2 and 4.
4. Raise 6 to the power of 2.
[tex]\sqrt{36+(2-(-8))^2}[/tex]...
5. Multiply -1 by -8.
6. Add 2 and 8.
7. Raise 10 to the power of 2.
[tex]\sqrt{36+100}[/tex] ...
8. Add 100 and 36.
9. Rewrite 136 as 2² · 34.
10. After factoring 4 out of 136 and rewriting as ... [tex]\sqrt{2^{2}(34)}[/tex], pull out terms from under the radical. It should look like this now: [tex]2\sqrt{34}[/tex]. That is your final answer!!
Hope that helps! Note: the unrounded decimal is 11.66190378.
(P.S. Can I have Brainliest please? Once someone else answers, of course...)
The following triangle is equilaterial triangle. Solve for the unknown variable.
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent, then
2x = 6 ( divide both sides by 2 )
x = 3
and
3y = 6 ( divide both sides by 3 )
y = 2
Thus x = 3 and y = 2 → d
Find the product. Express your answer as a mixed number in simplest form.
2 1/6 × 4 1/2
Answer: 1 1/2, 3/2, or 1.5
Step-by-step explanation: Convert expression into unproper fractions, 13/6, and 9/2. Then by changing 13/6 into a denominator with 2, you multiply and it equals 1 1/2.
If anyone can help I would really appreciate it!
Answer: y= 2/5 * x - 6
Step-by-step explanation:
y intercept
y= 2/5 x+b putting in the point 5,4
y=2/5 5+ b
4=10+b
b= -6
What is the slope? I will give brainliest
Answer:
The rise over run is -1/2
Step-by-step explanation:
A bag of skittles contains only red, yellow, and green colors. The respective ratios are 1:3:5 for those three colors. If there are a total of 36 skittles in the bag, how many of each skittles red, yellow, and green are in the bag?
Answer:
Red skittles = 4 skittles
Yellow skittles = 12 skittles
Green skittles = 20 skittles
Step-by-step explanation:
A bag of skittles contains only red, yellow, and green colors.
The respective ratios are 1:3:5 for those three colors.
We have
red: yellow: green
1:3:5
The sum of the proportion = 1 + 3+ 5 = 9
If there are a total of 36 skittles in the bag, how many of each skittles red, yellow, and green are in the bag?
Hence,
Number of red skittles is calculated as:
1/9 × 36 skittles
= 4 skittles
Number of yellow skittles is calculated as:
3/9 × 36 skittles
= 12 skittles
Number of green skittles is calculated as:
5/9 × 36 skittles
= 20 skittles
Therefore, the number of
Red skittles = 4 skittles
Yellow skittles = 12 skittles
Green skittles = 20 skittles
can i please get some help
Answer: x=0
Step-by-step explanation: This is number 9
12=-4(-6x-3)
-4(-6x-3)=12
-4(-6x-3)/-4=12/-4
-6x-3=-3
-6x-3+3=-3+3
-6x/-6=0/-6
x=0
What is the solution to the equation
m = –24 m = –12 m = –6 m = –4
From the set {5, 9, 12}, use substitution to determine which value of x makes the equation true. 12(x - 4) = 96
Answer:
12
Step-by-step explanation:
12(5-4)=96
60-48=12 means it's not five
12(9-4)=96
108-48=60 means it's not 9
12(12-4)=60
144-48=96 so answer is 12
100 POINTS, MAHNIFIA PLEASE ANSWER!
SCAMMERS WILL NOT BE TOLERATED!
Answer:
- 3.4(21) = - 71.4
(- 2.3)(- 7.9) = 18.17
9.24 ÷ - 7 = -1.32
(- 8.5) ÷ (- 3.4) = 2.5
- 6.85 ÷ 0.5 = - 13.7
8.)
1 point
Does (0,7) make the equation y = 3x + -7 true?
Answer:
YES
Step-by-step explanation:
The 7 in (0,7) is the y-intercept given in the equation y = 3x + 7
CAN YOU PLS HELPS ME AND NO LINKS ALOUD.....PLS HELPS ME I WIL GIVE CROWN
Answer:
I'd say the first one, it is most common for states to have four or fewer roller skating rinks.
Have a lovely day/night! <3
if I have one broccoli and my teacher gives me two broccolis how many broccolis do I have
Answer:
Step-by-step explanation:
I'm sure of it i even used my calculatr... it 13
The graph represents the average heights of boys in the United States from age two to age ten. A line of best fit has been drawn through the data.
Which statement describes the correlation coefficient?
The correlation coefficient will have a value very close to 0.
The correlation coefficient will have a value very close to 1
The correlation coefficient will have a value very close to –1.
The correlation coefficient will have a value very close to 0.5.
Answer:
A gotchu Just took the test got 100
Step-by-step explanation:
B
Answer:
The answer is B
Step-by-step explanation:
As it is very close to one because all the points are close together
Plsssss help me this is urgent.
Which tank has the greater volume?
Tank A has a diameter of 10 ft and a height of 3 ft. Tank B has a diameter of 6 ft and a height of 8 ft
A.Tank B has a greater volume.
B.Tank A and Tank B have the same volume.
C.Tank A has a greater volume
Tank A has a greater volume.
Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? In simplest terms, Adam can see a√b feet farther than Pam.
Answer:
B
A=2
B=6
Step-by-step explanation:
The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.
Calculation of the expression:Since
Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.
So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.
Learn more about an expression here: https://brainly.com/question/4700495
True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (1 pts)
(5,2) is a solution to the equation 2x + 3y = 10.
answer (in words)
FALSE. the coordinate pair (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order to figure out whether or not the statement is true or false, plug the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair (5, 2) into the given equation, [tex]2x+3y=10[/tex]. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.
(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)
answer (algebraic/steps for solving)
first, plug in 5 for [tex]x[/tex] in the equation [tex]2x+3y=10[/tex].
[tex]2x+3y=10[/tex] ⇒ [tex]2(5)+3y=10[/tex]then plug in 2 for [tex]y[/tex].
[tex]2(5)+3y=10[/tex] ⇒ [tex]2(5)+3(2)=10[/tex]now your equation is [tex]2(5)+3(2)=10[/tex]. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.
[tex]2(5)+3(2)=10[/tex] ⇒ [tex]10 + 3(2) = 10[/tex]multiply 3 · 2.
[tex]10 + 3(2) = 10[/tex] ⇒ [tex]10 + 6 = 10[/tex]add 10 + 6.
[tex]10 + 6 = 10[/tex] ⇒ [tex]16=10[/tex]16 and 10 are not equal, therefore (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.
i hope this helps! have a great rest of your day <3
Tyler invested $350 in an account paying an interest rate of 4.5% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $700?
Answer:
15.4 I did this on delta math
It would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.
How to calculate compounding time?The formula for calculating the future value (FV) of an investment with continuous compounding is:
[tex]FV = Pe^{rt}[/tex]
Where P is the initial principal, r is the annual interest rate (expressed as a decimal), t is the time period (in years), and e is the mathematical constant e (approximately 2.71828).
In this case, we have P = $350, r = 4.5% = 0.045, and we want to find the time t when the FV is $700. Substituting these values into the formula, we get:
[tex]700 = 350e^{0.045t}[/tex]
Dividing both sides by $350, we get:
[tex]2 = e^{0.045t}[/tex]
Taking the natural logarithm of both sides, we get:
[tex]ln(2) = ln\times e^{0.045t}[/tex]
Using the properties of logarithms, we can simplify this to:
ln(2) = 0.045t ln(e)
Since ln(e) = 1, we can simplify further to:
ln(2) = 0.045t
Finally, solving for t, we get:
t = ln(2) / 0.045 ≈ 15.4
Therefore, it would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.
To know more about continuous compounding follow
https://brainly.com/question/14303868
#SPJ2
If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?
Answer:
108 cubic units
Step-by-step explanation:
If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?
Volume of a rectangular prism XYZ = Length × Width × Height
= 2 unit × 9 unit × 6 unit
= 108 cubic units
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
You just literally mark the graph, you see the 1st points (2,12) go on the X axis to 2, then go up to 12 and mark that as a point. and continue with this tactic with the rest.
Answer:
I think this is correct. <3
01 Fill in the Blank Dropdown
The number that occurs the most in a set of data is called the
The middle number in a set of data that is in order from least to greatest is called
The average of a set of numbers is called
The
can be more than one number.
02 Fill in the Blank Dropdown
Answer:
Number that occurs the most: mode
Middle number in ordered set of data: median
average of a set of numbers: mode
More than one number: i think it is mode
Step-by-step explanation:
$800 invested at 5.25% simple interest for 4 yrs.
Answer:
14 dollars.
Step-by-step explanation:
With annual interest rate, 5.25 interest rate is $14.00
Answer:
$968
Step-by-step explanation:
800 × 0.0525 × 4 = 168 (interest)
168 + 800 = 968 (total)
What is the equation of the square root parent function?
what is the greatest common multiple of 96,48,84
Answer: 12
Step-by-step explanation: 96-84=12
I dont really know how i did it I just did.
20 POINTS Find the diameter?? Pls help I dont know what to do..
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
NEED HELP ASAP WILL GIVE BRAINLY
Answer:
B = 240/h
Step-by-step explanation:
the length of a rectangle is 7 cm more than its width and the area is 30 cm find the length, width and the perimeter
Answer:
Step-by-step explanation:
let width=x
length=x+7
x(x+7)=30
x²+7x-30=0
x²+10x-3x-30=0
x(x+10)-3(x+10)=0
(x+10)(x-3)=0
either x=-10 (rejected being negative)
or x=3
width=3 cm
length=3+7=10 cm
Perimeter=2(10+3)=2×13=26 cm
Take a factor out of the square root:
Answer:
[tex]-y\sqrt{3}[/tex]
Step-by-step explanation:
Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.
Answer:
[tex]-y\sqrt{3}[/tex]
Step-by-step explanation:
4.
Your math test has 38 questions and is worth 200 points. The test consists
of multiple-choice questions worth 4 points each and open-ended questions
worth 20 points each. How many of each type of question are there?
... please solve this using if systems of equations
Answer:
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions
Step-by-step explanation:
Let
Number of multiple-choice questions = x
Number of open-ended questions = y
x + y = 38 (1)
4x + 20y = 200 (2)
From (1)
x = 38 - y
Substitute x = 38 - y into (2)
4x + 20y = 200
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
y = 48/16
y = 3
Substitute y = 3 into (1)
x + y = 38
x + 3 = 38
x = 38 - 3
x = 35
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions