Answer:
6x⁵+12x⁴+3x³
Step-by-step explanation:
3x³(2x² + 4x + 1) = 3x³ × (2x² + 4x + 1)
therefore
3x³(2x² + 4x + 1) =
(3x³ × 2x²) + (3x³ × 4x) + (3x³ × 1)
*NOTE: for the brackets the multiplication law of indices is applied, i.e:
nª × n^b = n^a+b therefore
x³ × x² = x^3+2 = x⁵
x³ × x = x^3+1 = x⁴
x³ × x⁰ = x^3+0 = x³
*Note the quoeficents multiple each other, i.e:
3 × 2 = 6
3 × 4 = 12
3 × 1 = 3
so:
= 6x⁵ + 12x⁴ + 3x³
Jacob has 2 kilograms of flour. If his brother has one gram more than Jacob, how many grams of flour does Jacob's brother have?
HELP PLEASEEE ASAPPPPPPPP
Mary has 6 blouses, 5 skirts and 4 belts. How many outfits can she make, consisting of a blouse, a skirt and a belt?
Answer:
120
Step-by-step explanation:
Use the counting principle.
6 × 5 × 4 = 120
Answer: 120
Find the length of the indicated side.
J
3x + 17
K
8x - 8
The length of side KL is
L
Answer:
KL = 32
Step-by-step explanation:
The triangle is equilateral.
JK = KL3x + 17 = 8x - 85x = 25x = 5Finding KL :
KL = 8(5) - 8KL = 40 - 8KL = 32Hello please help me………….thank you
Answer:
1. False —> that’s how you find the perimeter.
2. False —> area is measured in square units.
3. False —> you can only use a multiplication.
4. True —> (2x6) + (2x8) = 28 inches.
5. False —> 5x5 = 25 square meters.
—-
Have a nice day!!
Answer:
Step-by-step explanation:
1 False. The suggestion given is for Perimeter, not area.
2 False. The perimeter is given in units not square units. For example, the Perimeter of square with one side of 7 in is 4 * 7 inches is 28 inches
3 False. You can only use multiplication equations to find a rectangle's area (or at least it is the easiest way to do it.) Higher math courses find areas by using multiplication and addition, but I'm pretty sure you are not in a higher math course.
4.True
5 False. The area of a square is 5 * 5 = 25. Not 4*5 = 20
What is the slope of a line that passes through the points open parentheses 5 comma 3 close parentheses and open parentheses 7 comma short dash 4 close parentheses?
Answer:
[tex]slope \: = - \frac{ 7}{2} [/tex]
Step-by-step explanation:
To find the slope of the line that passes through the points
[tex] \: {x}^{1} \: \: {y}^{1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} \: \: \: \: {y}^{2} \\ (5, \: \: 3) \: \: \: and \: \: (7, \: - 4)[/tex]
We have to follow the formula:
[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ \frac{ - 4 - 3}{7 - 5} \\ \\ slope = - \frac{ 7}{2} [/tex]
4x4 y3 + v y + 7
Leading term:
Leading coefficient:
Constant term:
Answer:
Leading term: 4x⁴y³
Leading coefficient: 4
Constant term: 7
The leading term contains the highest degree and power of variable.The leading coefficient is the number written in front of the variable with the largest exponent.The constant term is the simplified number written where there are no variables.Answer:
Leading terms : 4x⁴y³
Leading co-efficient: 4
Constant: 7
Step-by-step explanation:
Leading term: Leading term is the term that holds the highest degree of the polynomial.
Leading co-efficient is the coefficient of the leading term.
Constant term is the term without any variable
Question 16
The triangular prism below represents the shape of Sylvia's tent.
Sylvia's Tent
6 feet
6 feet
10 feet
8.5 feet
What is the volume of the tent in cubic feet?
C 255
D 360
A 180
B 241
1 point
Answer:
180^3'
Step-by-step explanation:
6x6=36.
36x10=360.
360 divided by 2= 180.
:}
solve for x !
[tex]x {}^{2} - 5x + 6 = 0[/tex]
ty! :)
Step-by-step explanation:
[tex] {x}^{2} - 5x + 6 = 0\\ {x}^{2} - 3x - 2x + 6 = 0\\ x(x - 3) - 2(x - 3) = 0\\ (x - 3)(x - 2) = 0 \\ either \\ x - 3 = 0 \\ x = 3 \\ or \\ x - 2 = 0 \\ x = 2[/tex]
Determine the distance between the points plotted on the graph. Round to the nearest tenth, if necessary.
Answer:
d= 4[tex]\sqrt{2}[/tex] or 5.66
Step-by-step explanation:
(-2,7) and (2,3)
d = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]
d= [tex]\sqrt{(2-(-2))^{2} + (3-7)^{2} }[/tex]
d = [tex]\sqrt{16 + 16}[/tex]
d= 4[tex]\sqrt{2}[/tex] or 5.66
4. For exercise, Francesca walks laps around a track. She walked 0.9 of a lap around the track in 5 minutes. If each lap is 440 yards, how fast did
Francesca walk?
•88 yards per minute
•360 yards per minute
•90 yards per minute
• 79.2 yards per minute
Answer:
79.2 yards per minute
Step-by-step explanation:
First you 440 times 0.9. which equals 396. Then you divide the answer by 5 to get 79.2.
please help will mark Brainliest!!.
To multiply 64 • 8.32, use the logarithmic equation:
1) log 72.32
2) log 64 + log 8.32
3) antilog 64 + antilog 8.32
4) (log 64)(log 8.32)
To multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32
To answer the question, we need to know what logarithm of a number is
What is the logarithm of a number?The logarithm of a number x is the power to base 10 of that number.
So, logarithm of x to base 10 is written as ㏒x.
Since we want to multiply 64 × 83.2, we convert this to logarithmic equation using the addition rule of logarithm.
Addition rule of logarithm㏒ab = ㏒a + ㏒b
So, 64 × 8.32 to logarithm is ㏒(64 × 8.32) = ㏒64 + ㏒8.32
So, to multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32
Learn more about logarithm here:
https://brainly.com/question/26788007
#SPJ1
please help will mark Brainliest!!.
Answer:
A square
Step-by-step explanation:
Its hard to mark the coordinates but its likely for it to be a square
solve this question please
Answer:
Step-by-step explanation:
a) 1.8 kg in grams is 1800 g
b) If 6 toys weigh 1800g; then 1 toy weighs 300 g(6:1)
c) If 1 toy weighs 300 g, 4 toys weigh 1200 g and you convert in kg which is 1.2 kg
Need help for this please
Step-by-step explanation:
what is the problem ?
we only need to use the formula that can be found easily on the internet.
the area of a circle is
pi×r²
r being the radius (half of the diameter). in our case :
14/2 = 7 m
and we shall use 22/7 as approximation for pi.
so, we get as circle area
22/7 × 7² = 22 × 7 = 154 m²
Harry invests $1000 in an investment account that earns 6% interest, compounded annually. How much money will he have in the account after 30 years?
the answer to that question is 1800
Convert: 8 tons = _____ pounds
4 pounds
80 pounds
8,000 pounds
16,000 pounds
Answer:
16,000 pounds hope this helps!
Kevin walked Three-fourths of a mile in 12 minutes. Assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?
Answer:
He walked 1/16 of an entire mile in 1 minute
Step-by-step explanation:
Teresa is maintaining a camp fire. She can
keep the fire burning for 4 hours with 6 logs.
She wants to know how many logs (y) she
needs to keep the fire burning for 18 hours.
She assumes all logs are the same.
How many logs does Teresa need to
maintain the fire for 18 hours?
Answer:
27
Step-by-step explanation:
she needs 24 logs to keep the fire for 16 hours(4×6). And for next 2 hours she's gonna need 3. altogether it's 27.
helppppppppppppppppppp
Answer:
√60
Step-by-step explanation:
6² = 36 ⇒ √36 = 6
8² = 64 ⇒ √64 = 8
⇒ 6 < x < 8
⇒ √36 < x < √64
Therefore, we need the square root of a number between 36 and 64.
From the given options, √60 is the only available option as:
√36 < √60 < √64
⇒ 6 < √60 < 8
Therefore, √60 is greater than 6 and less than 8.
√60
Because
Square of rest two numbers
6²=368²=64As
60 lies in between 36 and 64
So
√60 lies in between 6 and 8.
What is the solution?
Answer:
1200c^3
Step-by-step explanation:
cut the shape it to half with a square and a prism and calculate them separately then add the volume!
Hope this helps! ;-)
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
x > 3
Step-by-step explanation:
The final step in solving the inequality –2(5 – 4x) < 6x – 4 is
-6/-2 < x = 3 < x
. Estimate the sum of 277 and 854 and write them in Roman numerals.
Answer:
The answer is MC = 1100. The real answer is 1131 but I have estimated the answer to the nearest hundred.
Step-by-step explanation:
I just added them up to get the real answer. The real answer is 1131 but I have estimated the answer to the nearest hundred.
A box contains orange balls and green balls. The number of green balls is ten more than four times the number of orange balls. If there are 110 balls altogether, then how many green balls and how many orange balls are there in the box?
Answer:
there are 50 orange balls
Step-by-step explanation:
let green balls be x
orange balls be y
green balls = orange balls + 10
x = y+10
orange balls + green balls = 110
x + y = 10
y + 10 + y = 110
2y + 10 = 110
2y = 110 -10
2y = 100
y = 50
thus there 50 orange balls
Which graph represents the function f(x) = –x2 + 5? On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4). On a coordinate plane, a parabola opens up. It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9). On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 9), has a vertex at (negative 5, 0), and goes through (negative 2, negative 9). On a coordinate plane, a parabola opens up. It goes through (negative 8, 9), has a vertex at (negative 5, 0), and goes through (negative 2, 10).
Answer:
The graph in the attached figure
Step-by-step explanation:
we have the quadratic function
[tex]f(x)=-x^2+5[/tex]
This is a vertical parabola open downward
The vertex is a maximum
Remember that
The equation of a vertical parabola in vertex form is equal to
[tex]y=a(x-h)^2+k[/tex]
where
a is a coefficient
(h,k) is the vertex
In this problem
a=-1
(h,k)=(0,5) ----> vertex
The y-intercept is the point (0,5) ---> value of y when the value of x is equal to zero (is the same point that the vertex)
The x-intercepts are the points --->values of x when the value of y is equal to zero
using a graphing tool
The graph in the attached figure
Answer:
A on edge
Step-by-step explanation:
i took the test
Vera needs repairs on her car. The mechanic’s estimate says that he will provide 7.3 hours of labor. His rate is $55 per hour. The total cost of the labor will be
What is the number sentence for "1 less than N is the sum of Z and
2"?
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
What is the number sentence for "1 less than n is the sum of z and 2?"
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
❖ First, Notice it says "1 less than n". This expression indicates that
we subtract 1 from n, which looks as follows:-
[tex]\Large\textit{n-1}[/tex]
❖ Now, It also says "the sum of z and 2". This indicates that we add z and
2:-
[tex]\Large\textit{z+2}[/tex]
❖ Now, Combine these two little expressions into one equation:-
[tex]\implies\sf{n-1=z+2}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
What happens with rotational symmetry?
Answer:
The shape of an object looks the same when an object is rotated on it's own axis
Ella conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 1 hour. What does this range say about the data?
All the students surveyed spend exactly 1 hour surfing the Internet.
All the students surveyed spend an average of 1 hour surfing the Internet.
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour.
The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour.
The statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.
What is range?It is defined as the difference between the maximum value in the data set to the minimum value in the data set.
As we know, the difference between the greatest and lowest values, called the range.
According to this response, the range is 1 hour, which is the difference between the most and least amount of time spent surfing the Internet. This is based on the term “Range.”
Thus, the statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.
Learn more about the range here:
https://brainly.com/question/17553524
#SPJ1
Answer:
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour!
Step-by-step explanation: