Answer:
5
Step-by-step explanation:
To write the polynomial in standard form you need to write it in descending order of degree.
Standard form is:
5x^3 + 8x^2 + 9
The leading coefficient is the coefficient of the first term, the highest degree term.
Answer: 5
Therefore, the leading coefficient of the polynomial [tex]\(8x^2 + 9 + 5x^3\)[/tex] is [tex]\(5\)[/tex].
To write the polynomial [tex]\(8x^2 + 9 + 5x^3\)[/tex] in standard form, we arrange the terms in descending order of their degree:
[tex]\[ 5x^3 + 8x^2 + 9 \][/tex]
In this polynomial, the term with the highest degree is [tex]\(5x^3\)[/tex]. The coefficient of this term, which is the number multiplied by [tex]\(x^3\)[/tex], is the leading coefficient.
ANSWER ASAP! 25 POINTS! WILL GIVE BRAINLIEST!
Rewrite the expression in the form k * x^n (k times x to the n power)
(4x)^2
Answer:
[tex]16(x^{2})[/tex]
Step-by-step explanation:
we know that
[tex](4x)^{2} =(4^{2})(x^{2})=16(x^{2})[/tex]
therefore
The expression in the form [tex]k(x^{n})[/tex] is equal to
[tex]k(x^{n})=16(x^{2})[/tex]
where
k=16
n=2
Which of the following increases at the fastest rate for larger values of x?
1) f(x)=5^x + 2
2) f(x)=5x + 2
3) f(x)=5x^3 + 2
4) f(x)=5x^2 + 2
The fastest rate for larger values of x will be observed in the function f(x)=5^x + 2.
What is an exponential function?An exponential function is one in which a term has been raised to a particular power as we can see in the options given.
The fastest rate for larger values of x will be observed in the function f(x)=5^x + 2.
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What number is equivalent to |−27| ?
Question 3 options:
a 27
-b 27
c 127
d − 127
Answer:
27
Step-by-step explanation:
Using the process of elimination and since their is no -27, 27 must be the answer
The little bars on each side of the number -27 represent absolute value. This means that you must take the positive of the number inside the absolute value. In this case the positive of -27 is...
A. 27
Hope this helped!
I love Shawn Mendes. I'll marry him one day. You'll see
What is 2 1/6 ft= to inches as a mixed number?
Answer: 26
Step-by-step explanation:
because...
Feet result: 0.18055555556 ft.
Calculation: 2.1666666666666665" / 12
= 0.18055555556ft
But at the end your answer is going to 26.
So 2.1666666666666665 = 26
* Hopefully this helps:)
* Mark me the brainliest:)!!
Answer:
Step-by-step explanation:
2 1/6 ft = 24 inches plus (1/6)(12 in), or 24 inches plus 2 inches, or 26 inches.
2 1/6 is ALREADY a mixed number, in feet.
What is the measure of ZRST?
А. 188°
B. 47
C. 86
D. 94
Answer:
B
Step-by-step explanation:
The measure of the angle on the circle formed by the chords RS and TS is half the measure of the arc RT intersected by the 2 chords,
∠RST = 0.5 × 94° = 47° → B
Answer: 47
Step-by-step explanation:
Calvin evaluated -2/3 *5 1/6 using the steps below.
The error is identified in C. In step 2, he confused the multiplication and addition signs.
What is Calvin's error?
In step 2, he confused the multiplication and addition signs.
Step 1: -2/3 x (5 + 1/6)
Step 2: (-2/3 × 5) + (-2/3 × 1/6)
Step 3: -10/3 + -12/18
Step 4: -10/3 - 2/3
= (-10-2)/3
= -12/3
= -4
Therefore,
Calvin's answer should be negative 4
Complete Questiion:
Calvin evaluated -2/3 x 5 1/6 using the steps below.
Step 1: -2/3 x (5 + 1/6)
Step 2: (-2/3 + 5)x(-2/3 + 1/3)
Step 3: 4 1/3 x -1/3
Step 4: -2 1/6
Which describes Calvin’s error?
In step 1, he incorrectly broke up 5 1/6.
In step 2, he distributed the -2/3 instead of the 5.
In step 2, he confused the multiplication and addition signs.
In step 3, he computed the addition and multiplication incorrectly
an energy bar contains 9000 milligrams of protein. how much protein does it contain in grams
Answer:
9 Grams
Step-by-step explanation:
You would move the decimal over 3 times to the left from the end of 9000
To convert milligrams to grams, you should know that 1 gram is equal to 1000 milligrams. This is because "milli" in milligrams means one-thousandth of a gram.
If an energy bar contains 9000 milligrams of protein, to convert this amount to grams, you divide the milligrams by 1000 (because 1000 milligrams equals 1 gram).
Here's the calculation:
\( 9000 \text{ milligrams} \div 1000 = 9 \text{ grams} \)
So, an energy bar that contains 9000 milligrams of protein has 9 grams of protein.
The given line passes through the points (0, -3) and (2, 3).
on
What is the equation, in point-slope form, of the line that is
parallel to the given line and passes through the point
(-1,-1)?
y+1= (x + 1)
(23)
-
N
54-3-2-1
2
3 4
5
(0, -3)
Mark this and return
Save and Frit
Answer:
[tex]y+1=3(x+1)[/tex]
Step-by-step explanation:
step 1
Find the slope of the given line
[tex]m=(3+3)/(2-0)[/tex]
[tex]m=3[/tex]
step 2
Find the slope of the line that is parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
therefore
the slope is equal to [tex]m=3[/tex]
step 3
Find the equation in point slope form
we have
[tex]m=3[/tex]
[tex]point (-1,-1)[/tex]
The equation of the line into point slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
substitute
[tex]y+1=3(x+1)[/tex] ----> equation of the line into point slope form
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2. How many 1/2 unit cubes does it take to fill the prism
Answer:
48 cubesStep-by-step explanation:
[tex]V_p=6\\\\\text{Calculate the volume of a cube:}\\\\V_{c}=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{6}{\frac{1}{8}}=6\cdot8=48[/tex]
Select the two values of x that are roots of this equation x^2+3x-3=0
Apex
Answer:
C, and D are both roots of this equation
Answer:
The two values of x that are roots are:
[tex]x_{1} = \frac{-3 + \sqrt{21} }{2}[/tex]
[tex]x_{2} = \frac{-3 - \sqrt{21} }{2}[/tex]
Step-by-step explanation:
A cuadratic function has the form [tex]ax^{2} + bx +c = 0[/tex]
To calculate the roots of the cuadratic equation [tex]x^{2} + 3x -3 = 0[/tex] you have to solve the formula:
[tex]x = \frac{-b}{2a}[/tex] ±[tex]\frac{\sqrt{b^{2} -4ac} }{2a}[/tex]
In this case, a =1, b=3 and c= -3
Replacing the values of a,b and c in the formula:
[tex]x = \frac{-3}{(2)(1)}[/tex] ± [tex]\frac{\sqrt{(3)^{2} - (4)(1)(-3) } }{(2)(1)}[/tex]
Solving the mathematic operations:
x = [tex]\frac{-3}{2}[/tex] ± [tex]\frac{\sqrt{9 + 12 } }{2}[/tex]
The two roots are:
[tex]x_{1} = \frac{-3 + \sqrt{21} }{2}[/tex]
[tex]x_{2} = \frac{-3 - \sqrt{21} }{2}[/tex]
Nine people were asked, "How many times have you been on an airplane?" Their responses are listed below 9, 3, 9, 8, 3, 3, 5, 3, 3
Answer:
The mean is 5 times
range - 6
mode - 3
median - 3
Step-by-step explanation:
to work out the mean you add 9+3+9+8+3+3+5+3+3 together which gives you 46 and then divide the answer by the total number of people which is 9 and the answer is 5.1 but you round it to 5
HELP ASAP
The first triangle is dilated to form the second triangle . 4.4 arrow point to 4.4 is bigger to 1.1 small select true or false for each statement. The scale factor 0.25 the scale factor is 4
Answer:
You have to scale the bigger triangle to a small one with ratio of 1.1 to 4.4, [tex]\frac{1.1}{4.4\\}[/tex]
the ratio is 1/4
the scale factor is 0.25 , so the statement is true
7 is what percent of 56?
Answer:
12.5
Step-by-step explanation:
7:56*100 =
(7*100):56 =
700:56 = 12.5
Which statement is true about figure DEF?
Side DF is congruent (the = and ~ symbol) to side DE
Answer:
The correct option is A) [tex]\overline{DF}\cong \overline{DE}[/tex]
Step-by-step explanation:
Consider the provided figure.
The coordinates of E is (-2,3)
The coordinates of D is (-5,1)
The coordinates of F is (-3,-2)
Now use the distance formula to find the length of line segment:
[tex]\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
The distance between (-2,3) and (-5,1) is:
[tex]\overline{DE}=\sqrt{\left(-5-\left(-2\right)\right)^2+\left(1-3\right)^2}=\sqrt{13}[/tex]
The distance between (-5,1) and (-3,-2) is:
[tex]\overline{DF}=\sqrt{\left(-3-\left(-5\right)\right)^2+\left(-2-1\right)^2}=\sqrt{13}[/tex]
The distance between (-3,-2) and (-2,3) is:
[tex]\overline{EF}=\sqrt{\left(-2-\left(-3\right)\right)^2+\left(3-\left(-2\right)\right)^2}=\sqrt{26}[/tex]
Hence the length of line segment DE and DF is same.
Thus the correct option is A) [tex]\overline{DF}\cong \overline{DE}[/tex]
evaluate 3|-4|
12
4
-12
Answer:
12
Step-by-step explanation:
Absolute value means take the positive value of
3 |-4|
3 * 4
12
Describe the error in the work below.
Solve –6.1 > x + 11.3
–6.1 – 11.3 > x + 11.3 – 11.3
–17.4 > x
x should be the subject
Answer:
x should be the subject
Step-by-step explanation:
I also need help with this one, simplifying this radical expression. This ones weird.
Answer:
1
Step-by-step explanation:
Factorise numerators/ denominators where possible
3x² - 4x + 1 = (x - 1)(3x - 1)
x² - 1 ← is a difference of squares and factors as
x² - 1 = (x - 1)(x + 1)
Expressing the product in factored form
[tex]\frac{(x-1)(3x-1)}{(x-1)(x+1)}[/tex] × [tex]\frac{x+1}{3x-1}[/tex]
Cancel common factors on numerator/denominator, that is
Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1
Answer: 1
Step-by-step explanation:
given vector u = (6,-4) and the graph of vector v, find v - 2u and express the result of terms in i and j
Answer:
0i + 10j, or just 10j
Step-by-step explanation:
Vector u = <6, -4> and vector v = <12, 2>.
We are to find v - 2u, which is:
<12, 2> - 2<6, -4>. We combine x components and y components to obtain:
<12-12, 2+8>, or <0, 10>.
In terms of i and j, that'd be 0i + 10j, or just 10j.
Answer:
v-2u=10j
Step-by-step explanation:
The component of vector v, are
u=<6,-4>
From the graph; vector u, has components.
v=<12,2>
We perform the subtraction;
v-2u=<12,2>-2<6,-4>
We multiply out the scalar to get:
v-2u=<12,2>-<12,-8>
This implies that;
v-2u=<12-12,2--8>
v-2u=<0,10>
v-2u=0i+10j
v-2u=10j
identify the relative maximum value of g(x) for the function shown below
g(x) = 2/ x^2 +3
Answer:
The relative maximum value is [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The given function is
[tex]g(x)=\frac{2}{x^2+3}[/tex]
We differentiate to obtain;
[tex]g'(x)=-\frac{4x}{(x^2+3)^2}[/tex]
At turning points [tex]g'(x)=-\frac{4x}{(x^2+3)^2}=0[/tex]
[tex]\implies x=0[/tex]
[tex]g''(x)=\frac{16x^2}{(x^2+3)^3}- \frac{4}{(x^2+3)^2}[/tex]
We apply the second derivative test to obtain:
[tex]g''(0)=\frac{16(0)^2}{((0)^2+3)^3}- \frac{4}{((0)^2+3)^2}=-\frac{4}{9}[/tex]
Since the second derivative is negative, there is a relative maximum at x=0.
We substitute x=0 into the original function to obtain the relative maximum value.
[tex]g(0)=\frac{2}{(0)^2+3}=\frac{2}{3}[/tex]
To find the relative maximum value of g(x) = 2/(x² + 3), one should evaluate the function at x = 0, giving the relative maximum value as 2/3.
The question is asking to identify the relative maximum value of the function g(x) = 2/(x² + 3).
To find the relative maximum, we need to find the critical points by taking the derivative of g(x) and setting it to zero. However, this function does not have a simple expression where the derivative is zero.
Instead, we note that because the denominator x² + 3 is always positive and has a minimum when x = 0, the function g(x) will have a maximum value when x = 0.
Thus, the relative maximum value of g(x) is obtained by plugging x = 0 into the function: g(0) = 2/(0² + 3) = 2/3.
A 6-meter pole is supported by guy wires that are anchored to the ground as shown. What is sin D?
Answer:
0.8941
Step-by-step explanation:
sin D = opp / hyp = 6 m / 6.71 m = 0.8941
Answer:
sin D = 0.8942
Step-by-step explanation:
In the given Δ BCD.
sin D = [tex]\frac{\text{Length of pole}}{\text{Length of guy wires}}[/tex] = [tex]\frac{CA}{CD}[/tex] = [tex]\frac{Height}{Hypotenuse}[/tex]
= [tex]\frac{6}{6.71}[/tex]
Sin D = 0.8942
Therefore, Answer is sin D = 0.8942
What is the exact circumference of the circle?
Show work
2π cm
4π cm
8π cm
16π cm
C=2πr
25.13 cm is the conference
Answer:
8π cm
Step-by-step explanation:
The diameter is 8 cm
We know the circumference is pi times diameter
C = pi * d
C = pi *8
C = 8pi cm
We leave it in terms of pi since we want the exact value.
if you invested $45,000 for 8 months at an interest rate of 2.75 % how much interest would you earn?
Answer:
You'd earn $825 in interest.
Step-by-step explanation:
The appropriate formula for simple interest is i = p·r·t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years. Because 8 months constitutes 2/3 year, we have:
i = $45,000·(0.0275)(2/3) = $825.
You'd earn $825 in interest.
Maya needs 54 cubic feet of soil for her garden. She already has 4.5 cubic feet of soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should maya purchase
Answer:
Maya needs 33 bags
Step-by-step explanation:
Let's call x the number of bags of soil. If each bag contains 1.5 cubic feet, then "x" bags do not contain a volume of:
1.5x.
As a volume of 4.5 cubic feet has been published.
[tex]y = 4.5 + 1.5x[/tex]
We need 54 cubic feet.
Then [tex]y = 54[/tex]
[tex]54 =4.5 + 1.5x[/tex]
Now we must solve the equation for x.
[tex]1.5x = 54 -4.5[/tex]
[tex]1.5x = 49.5[/tex]
[tex]x =\frac{49.5}{1.5}\\\\x=33\ bags[/tex]
What missing angle of the figure
Answer:
138
Step-by-step explanation:
152+125=277
277-135=142
around 138
The net of a triangular prism is shown below what is the surface area of the prism !!!!! Help iTS DUe TOMORROW !!!!!!!
Answer: B.152
Step-by-step explanation:
5 * 8 = 40 * 2 = 80
6 * 8 = 48
4 * 6/2 = 12 * 2 = 24
80 + 48 + 24 = 152
The surface area of a triangular prism is determined by summing the areas of the five faces, which include two triangles and three rectangles. In the given example, the surface area totalled to 48 square cm.
Explanation:The surface area of a triangular prism can be found by summing the areas of all the faces. In the case of a triangular prism, there are two triangular faces and three rectangular ones. To find the area of a rectangle, you multiply the length by the width. For the triangle, you use the formula 1/2(base x height).
Let's assume as an example that we have a prism where each rectangle has dimensions of 3 cm by 4 cm, and the triangles have a base of 3 cm and height of 4 cm.
Calculating for the rectangular faces: 3 rectangular faces x area of rectangle (3 cm x 4 cm) = 3 x 12 square cm = 36 square cm.
Calculating for the triangular faces: 2 triangular faces x area of triangle (1/2 x 3 cm base x 4 cm height) = 2 x 6 square cm = 12 square cm.
Adding all together, the total surface area is 48 square cm.
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Rectangle
ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(2,1), B(5,1), C(5,6), and D(2,6).
Given these coordinates, what is the length of side
AB of this rectangle?
Answer:
3
Step-by-step explanation:
As we move from A(2, 1) to B(5, 1), x increases by 3 but y stays the same.
Thus, the distance from A to B is simply 3. This is the desired length.
The length of side AB would be 3 units,
As we move from A(2, 1) to B(5, 1), x increases by 3 but y stays the same.
Thus, the distance from A to B is simply 3. This is the desired length.
I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).
The picture ends up looking like the attachment I have below.
This is now a simple subtraction.
A is at 2 on the x-axis and B is at 5.
5-2=3
3 units.
What are coordinate planes?
A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).
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2r - 12 = 12 - 10r whats the answer
Answer:
r=2
Step-by-step explanation:
bring the numbers to the other sides
Answer:
dude what is r?
Step-by-step explanation:
for example
3 + 3z - 10
if z is 2
3 + 3 × 2 - 10
Determine if each set of ordered pairs represents a function.
Answer: Choices 1, 3, and 5 are functions
Step-by-step explanation:
To be a function, the x value can only be used once. In choices 2 and 4, the x value is repeated; therefore they are not functions.
Answer:
Step-by-step explanation:
A right rectangular prism is sliced parallel to its
base as shown in the figure.
What is the shape of the resulting two-
dimensional cross section?
Select from the drop-down menu to correctly complete the statement
The shape of the resulting two-dimensional
cross section is a Choose...
Pentagon
Rectangle
Trapezoid
Triangle
Answer:
the correct answer is rectangle
Step-by-step explanation:
Find the value of d. 2d -5=17
Answer: [tex]d=11[/tex]
Step-by-step explanation:
To find the value of "d" you need to solve for "d" from the equation given
[tex]2d -5=17[/tex]
First, you have to apply the Addition property of equality and add 5 to both sides of the equation. Then:
[tex]2d -5+(5)=17+(5)\\2d=22[/tex]
And finally, you have to apply the Division property of equality and divide both sides of the equation by 2.
Therefore, you get that the value of "d" is:
[tex]\frac{2d}{2}=\frac{22}{2}\\\\d=11[/tex]
Please give Brainliest!
Answer: The value of d is 11
Step-by-step explanation:
To find the value of "d" you need to subtract five from 2d or 2•11 which would give you 17.
2d -5=17
First you would add five to each side.
2d -5 + 5=17+5
This would show you that whatever you multipy 2 by would have to equal 22.
2d=22
The only thing times 2 that equals 22 is 11, so that would have to be your answer.
Hope this helps :)
Have a blessed evening!