Answer:
x^3 + 3x^2 - 16x - 48.
Step-by-step explanation:
(x - 4)(x + 3)(x + 4)
= (x - 4)(x + 4)(x + 3)
= (x^2 - 16)(x + 3)
= x^3 + 3x^2 - 16x - 48.
Mrs. Li classroom is 24 ft wide and 40 ft long what is the area of the classroom
Solve both please thanks
Answer:
4.a
5.b
Step-by-step explanation:
In question 4, the shape and width of the origin must be negative, which is the only *a*
slop
The slope of the line comes before x
The length, breadth and height of a cuboid bear the ratio 5:3:2 . If it's total surface area is 279 cm²,find it's volume.
Answer:
810 cm^3
Step-by-step explanation:
Since,the l(length) b(breadth) & h(height) of the cuboid bear the ratio 5 : 3 : 2 ,we could assume it as:
l = 5zb = 3zh = 2zWe know that,
Cuboid ( total surface area)= 2lb+2lh+2hb cubic unitsSo substitute the dimensions we assumed:
We could write it as;[tex] \rm \: Total \; Surface\; area \: of \: the \; cuboid = 2(5z \times 3z + 3z \times 2z + 2z \times 5z[/tex]
[tex] \implies \rm \: 279 = 31 {z}^{2} [/tex]
Find z[tex] \rm \implies {z}^{2} = \cfrac{279}{31} [/tex]
[tex] \rm \implies {z}^{2} = 9[/tex]
[tex] \implies \rm \: z = \sqrt{9} [/tex]
[tex] \rm \implies \: z = \sqrt{3 \times 3} = 3[/tex]
Hence, according to the formula,
Cuboid V = lbhWe got the dimensions of the cuboid, i.e.
Then, solve.
Cuboid V = lbh15 cm * 9 cm * 6 cm810 cm^3Hence,the volume of the cuboid will be 810 cm^3
HELP PLEASE!!!!!!! 30 POINTS
Answer:
3rd option,
24 -12 6
42 18 0
Step-by-step explanation:
6 x (4) = 24
6 x (-2) = -12
6 x (1) = 6
6 x (7) = 42
6 x (3) = 18
6 x (0) = 0
Joanna ate 3/7 of a pizza . Michael ate 2/7 of the pizza
How much pizza did joanna and Michael eat altogether
Answer:
5/7
Step-by-step explanation:
3+2 is 5 over the same denominator because that's how many slices of pizza there are
Mathematics question ok
Answer:
3
Step-by-step explanation:
to find the volume of a rectangular prism, Volume = length x height x width
Volume is 45 units (given)
length is 5 units (given)
45 = 5 x w x l
45 / 5 = w x l
9 = w x l
only 3 x 3 = 9 works with these numbers
45 = 5 x 3 x 3
Arianna invests $5,000 into the stock market which earns 9% per year. In 30 years, how much will Arianna's investment be worth if interest is compounded continuously?
what is the slope of (-2,-5) and (-4,-2)
Answer:
Slopem=−32
As a decimal:
m = -1.5
Step-by-step explanation:
A hot dog costs $1 at the ballpark. Which equation shows the total cost, C, of n hot dogs?
⚫️n = 1c
⚫️n = 1+c
⚫️c = 1n
⚫️c = 1 + n
Answer:
C=1n
Step-by-step explanation:
So first you look for keywords, the most noticeable one is "total cost." C will be at the end of the equation.
C= ? + ?
Then, each hot dog costs $1 which means no matter how many hot dogs there will be, it will be multiplied by the cost. So, the answer is:
c=1n
A topic or recent clinical interest is the possibility of using drugs to reduce infarct size is patients who have myocardial infarction within the past 24 hours. Suppose we know that in untreated patients the mean infarct size 25 (ck - g-EQ/m). Furthermore, in 8 patients treated with a drug the mean infarct size is 16. Suppose σ = 10 . Is there statistical evidence the drug is effective in reducing infarct size?
Yes, there is statistical evidence that the drug is effective in reducing infarct size because p-value is less than the significance value.
How to find hypothetical Evidence?Let us first define the hypotheses;
Null Hypothesis; H₀: µ = 25
Alternative Hypothesis; H₁: µ < 25
Standard Deviation; σ = 10
Sample mean; x' = 16
Sample size; n = 8
z-score is;
z = (16 - 25)/(10/√8)
z = -2.55
From online z-score table, the p-value is 0.005
Since p-value is less than the significance value, then we reject the null hypothesis and conclude that the drug is effective in reducing infarct size.
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Isolate w for the literal equation P=2w + 21
Answer:
w = [tex]\frac{P-2i}{2}[/tex]
Step-by-step explanation:
P = 2w + 2i ( subtract 2i from both sides )
P - 2i = 2w ( isolate w by dividing both sides by 2 )
[tex]\frac{P-2i}{2}[/tex] = w
The diagram show a solid cube.
The cube has a mass of 16 grams.
Work out the density of the cube.
Answer:
density: 0.25 g/cm³
Explanation:
density = mass/volume
Here given:
· mass: 16 grams
· volume: side³ = 4³ = 64 cm³
Find density:
· mass/volume
· 16/64
· 0.25 g/cm³
Find the surface area of each figure. Round to the nearest hundredth when necessary Please quick and real answers
The total surface area of the cone is 542.592 square mm
Total surface area of a coneThe formula for calculating the total surface area of a cone is expressed as:
TSA = πr(r + l)
where
r is the radius of the cone
l is the slant of the cone
Given the following parameter
l = 13.6mm
r = 8mm
Substitute
TSA = π(8)(8+13.6)
TSA = 3.14(8)(21.6)
TSA = 542.592 square mm
Hence the total surface area of the cone is 542.592 square mm
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On March 8, 2017, one South African rand was worth 0.08 U.S. dollars.
(a) On that date, how many dollars was 175.89 rand worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many rand was 56.65 dollars worth?
Round your answer to the nearest hundredth of a rand.
rand
Using proportions, it is found that the conversions are given as follows:
a) 175.89 rands were worth $14.07.
b) 56.56 dollars were worth 708.13 rands.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have the following proportion:
1 rand - 0.08 U.S. dollars.
Item a:
175.89 x 0.08 = $14.07, hence:
175.89 rands were worth $14.07.
Item b:
56.65/0.08 = 708.13, hence:
56.56 dollars were worth 708.13 rands.
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Which of the following is a monomial?
O A. 4x
O B. 5x2 + 2x +3
3
O c.
oc
O D. X-1
Answer:
A. 4x
Step-by-step explanation:
Monomials are polynomials that have only one term, hence the prefix mono. Option A, 4x, is the only option with one term.
B has three terms, C has two terms, and D has two terms as well.
hope this helps!
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Which of the following is a monomial?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
4x
[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]
A monomial is defined as an expression with only one term.
4x is an example of a term; 5x²+2x is 2 terms (5x² and 2x)
Therefore, the monomial here is Option A. 4x
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Find the skope of a line passing through the points (-6,7) and (-8,5)
Answer:
Answer is in attachment
Mark brainliest :)
the distance on the map between the treasures hidden in block A2 and block A3 is 35mm. if the scale on the map is 1:500 ratio, what is the actual distance between the two hidden treasures?
Answer:
17500
Step-by-step explanation:
That would be 35 * 500
= 17500
1/5 of a number is 100 .How much is 2/3 of the number
Answer:
66?
Step-by-step explanation:
Answer:
333.33
Step-by-step explanation:
If we know that 1/5 of an unkown number is 100, then to find then original number we can multiply 100 by 5. This leaves us with 500, the original number. Now, we can multiply 500 by 2/3 to find our final answer.
500 * 2/3 = 333.33
PLEASE HELP WILL MARK BRAINLIEST
Answer:
3.1
Step-by-step explanation:
sine 70= x/4
sin= opposite/hypotenuse
i need help with this question please
Answer:
A polyhedron with 6 faces and 8 vertices has 12 edges.
Step-by-step explanation:
Euler Formula is given in the problem:
F + V = E + 2We are told that the polyhedron has 6 faces (F = 6) and 8 vertices (V = 8). The only unknown variable in Euler's Formula now is E = number of edges.
Substitute the known variables into the formula and solve for E.
6 + 8 = E + 2 14 = E + 2 12 = E E = 12A polyhedron with 6 faces and 8 vertices has 12 edges.
Let f ( x ) = 2 x + 2 and g ( x ) = 2 x 2 + 4 x . After simplifying, ( f + g ) ( x ) =
(f + g)(x) = 2 x²+6x+2
What is composition of function?The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.
Given function is:
f ( x ) = 2 x + 2 and g ( x ) = 2 x² + 4 x
So,
(f + g)(x)
= f(x)+g(x)
= 2x+2+2 x² + 4 x
=2 x²+6x+2
Hence, (f + g)(x) = 2 x²+6x+2.
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Two angles of a triangle are the same size. The third angle is 12 degrees smaller than the first angle. Find the measure the angles
Answer:12, 84 and 84
Step-by-step explanation:
since we know 3 angles of a triangle = 180 degrees
1 angle = 12 degrees
12 + x + x = 180
12 + 2x = 180
2x= 180 - 12
2x = 168
x = 168/2
x = 84 degrees
Hope it helps! Mark it as Braniest
Answer:
64° , 64° , 52°
Step-by-step explanation:
Angle sum property of triangle:The two angles that are same be 'x'
Third angle = x - 12
Sum of all angles of triangle = 180
x + x + x -12 = 180
3x - 12 = 180
3x = 180 + 12
3x = 192
x = 192/3
x = 64
x - 12 = 64 - 12
= 52
The three angles are 64° , 64° , 52°Help please it’s due today
Trigonometry in baseball
identify a major league ballpark in which the distance from home plate to the center field
fence and the height of the center field fence require that a ball hit 2 ft above the ground will
necessitate an angle of elevation less than 0.86 to just clear the center field fence. The
ballpark you will identify today is known as "Comersia Park "aka the home of the Detroit
tigers. The distance between the Homeplate to the center field fence is 420 ft. however the
center field fence height is 9ft. make sure to find out the elevation and velocity?
Answer:
first off the park you've listed is no match for the fact its more then 0.86.
Step-by-step explanation:
[tex]tan^{-1} (\frac{7}{420} )\\\\= arctan (\frac{7}{420} )\\\\= arctan (\frac{1}{60} )\\= 0.95[/tex]
so basically it equals 0.95°
which basically means 0.86 < 0.95.
The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47, and 52. Which measure should the weather bureau use to find the middle temperature of the week?
Answer:
55
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the volume of the figure.
V=____cm^3 (Round to the nearest tenth as needed.)
Answer:
V=12.6cm^3
Step-by-step explanation:
Volume of Cone Formula: [tex]V=\pi r^2\frac{h}{3}[/tex]
Given:
Radius=2, Height=3
1. Plug in your given values into the formula
[tex]V=\pi 2^2\frac{3}{3}[/tex]
2. Solve
[tex]V=\pi 2^2\frac{3}{3}\\V=\pi 4\frac{3}{3}\\V=\pi 4*1\\V=\pi 4\\V=12.5663706144[/tex]
Rounded to tenths: 12.6
What is the value of n for the equation?
Answer:
n = -10
Explanation:
[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n^2-6n} =\dfrac{4}{n-6}[/tex]
Factor the common term
[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]
Make the denominator same
[tex]\Rightarrow \sf \dfrac{n-6}{n(n-6)} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]
Join the fractions
[tex]\Rightarrow \sf \dfrac{n-6+4n+16}{n(n-6)}=\dfrac{4}{n-6}[/tex]
simplify the following
[tex]\Rightarrow \sf \dfrac{5n+10}{n(n-6)}=\dfrac{4}{n-6}[/tex]
cross multiply
[tex]\Rightarrow \sf\left(5n+10\right)\left(n-6\right)=n\left(n-6\right)\cdot \:4[/tex]
cancel out common term
[tex]\Rightarrow \sf\left(5n+10\right)=4n[/tex]
exchange sides
[tex]\Rightarrow \sf 5n-4n=-10[/tex]
simplify
[tex]\Rightarrow \sf n=-10[/tex]
18 bracelets in 3 hours
Answer:
= 6 items per hour
Explanation:
This is a fraction equal to 18 items ÷ 3 hours
We want a unit rate where 1 is in the denominator, so we divide top and bottom by 3
18 items ÷ 3
3 hours ÷ 3
= 6 items/1 hour
= 6 items/hour
= 6 items per hour
PLEASE HELP EASY ASSIGNMENT ( Kami )
Answer:
? where is it
Step-by-step explanation:
Henrietta’s family is on a road trip from new york city to los angeles ca they have set a goal of reaching the 1,500 mile mark half way across the country by the end of the day tomorrow. when they ended their driving today, they had travelled 1,322 miles, and averaged a speed of 60 miles per hour. if they want to meet their goal, how many hours do they need to drive for tomorrow (assuming they are going to go at the same speed of 60 miles per hour) write and solve an inequality to represent this situation.
Answer:
uhm can i see the formula for the question?
Step-by-step explanation:
simplify 2x + 3y - 5x + 7y
Answer:
[tex]-3x + 10y[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]2x + 3y - 5x + 7y[/tex]
[tex](2x - 5x) + (3y + 7y)[/tex]
[tex]-3x + 10y[/tex]
Answer: [tex]-3x + 10y[/tex]