Answer:
42 in
Step-by-step explanation:
12 x 3 = 36
1/2 foot = 6 in
36 + 6 = 42
Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)
5√3x^2+4
Answer:
The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].
Step-by-step explanation:
Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:
[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)
Where:
[tex]c_{i}[/tex] - i-th Coefficient.
[tex]x^{i}[/tex] - i-th Power.
[tex]n[/tex] - Grade of the polynomial.
We notice that given polynomial has degree 2 and can be rewritten by applying this definition:
[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]
Then, the set of coefficients asociated with the given polynomial in ascending order is:
[tex][C] = \{4,0,5\sqrt{3}\}[/tex]
pls help just look at photo
Answer:
Step-by-step explanation:
FYI 7 over 2 (negative) is -3.5 on that number line, and since you want go to a number greater than -3/2, which is -1.5, now that we know our decimals, 1., it makes this easier and 2, now we make our inequality and solve it. Here we just do -3.5<x, and if you need to do it on the number line start from -7/2 and then go to -3/2 and draw an arrow, and the circle has to be an O not a black dot because it isnt greater/less than OR equal to.
I think this is the last question
Answer:
○ [tex]\displaystyle One\:relative\:maximum\:(-1, 8)\:and\:one\:relative\:minimum\:(2, -4)[/tex]
Step-by-step explanation:
The minimum is the lowest possible point a certain graph touches, while the maximum is the highest possible point a certain graph touches.
I am joyous to assist you at any time.
Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical
Answer:
[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]
and,
[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]
Find the sum of whole number that are less than 100 and leave reminder 2 when divided by 5
Answer:
99
Step-by-step explanation:
2+5, ∈ℤ
=2+7+12+⋯+97
This is AP with =2,=5,
th term is given by =+(−1)
97=2+(−1)5⟹=20
So sum of such integers,
20=202(2+97)=990
The sum of whole number that are less than 100 and leave reminder 2 when divided by 5 is 990.
What is Arithmetic Progression?A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.
An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.
Given:
We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5
So, we get the sequence
2, 7, 12, ................97
=2+7+12+⋯+97
This is AP with =2,=5,
So, l= a+( n-1)
97= 2+ (n-1)(5)
95 = 5(n-1)
n-1 = 95/5
n-1 = 19
n= 19 + 1
n=20
Now, the sum is
[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))
= 10( 4 + 19(5)
= 10 (99)
= 990
Hence, the sum is 990.
Learn more about Arithmetic Progression here:
https://brainly.com/question/16947807
#SPJ2
What is an equation of the line that passes through the points (-2, 1) and (4, 7)
y=x+3
hope this helps!
Which of the following is an equivalent
simplified expression for
3(2x + 1) - 2(4x - 1)
A. 2x + 1
B. -2x + 5
C. -X + 5
D. 14x + 1
E. 14x - 1
Answer:
B. -2x + 5
Step-by-step explanation:
First, distribute the 3 and 2 to the parentheses:
3(2x + 1) - 2(4x - 1)
6x + 3 - 8x + 2
Add like terms:
-2x + 5
So, the simplified expression is -2x + 5
B is the correct answer
Answer:
it is B
Step-by-step explanation:
3*2x=6x
2*4x=8x
1*3=3
1*2=2
6x-8x= -2x
3+2=5
i got the +2 because there are two negative signs and that makes it positive
use the figure part 2 A
Answer:
see explanation
Step-by-step explanation:
If ∠ D ≡ ∠ CED then CD ≡ CE
The base angles theorem states that if the sides of a triangle are congruent, that is isosceles triangle the the angles opposite these sides, the base angles, are equal.
Here we are using the converse of base angle theorem (b)
That is if 2 angles are congruent ( base angles ) then the sides opposite these angles are congruent.
Answer:
Angle D = Angle CED, then CD=CE.b) Converse of Base Angle TheoremStep-by-step explanation:
The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.
Solve the equation for x. −3=x3−6
A. x=−27
B. x=9
C. x=0
D. x=−6
Question 4
1 pts
In the inequality x +4< -14,, which answer is correct
O the solution set is x is less than 10, the circle is open; and the graph (line) moves to the right
the solution set is x is less than -18, the circle is open; and the graph (line) moves to the left
O the solution set is x is less than negative 10, the circle is open; and the graph (line) moves to the
left.
O the solution set is x is greater than negative 10, the circle is open; and the graph (line) moves to
the left.
Answer: C. The solution set is x is less than -18, the circle is open; and the graph (line) moves to the left.
Step-by-step explanation:
1. x < (-4) -14 (subtract 4 from each side, then add)
2. x < -18
Your family picked apples over the weekend. 1/8 of the apples picked were golden delicious and 1/4 were McIntosh. The remaining were Granny Smith. What fraction of the apples were Granny Smith apples
Answer:
5/8
Step-by-step explanation:
1/4=2/8
2/8+1/8=3/8
8/8-3/8=5/8
Choose all the equations that have m =5 as the solution
A. m - 1 = 4
B. m + 4 = 20
C. m - 3 = 8
D. 22 + m = 25
E. 12 = m + 7
Answer:
A and E
Step-by-step explanation:
Plug 5 in for m in every equation, and see if the math works.
A.
[tex]m-1=4\\5-1=4\\\\[/tex]
A - works
B.
[tex]m+4=20\\5+4=9[/tex]
B - does not work
C.
[tex]m-3=8\\5-3=2[/tex]
C - does not work
D.
[tex]22+m=25\\22+5=27[/tex]
D - does not work
E.
[tex]12=m+7\\12=5+7[/tex]
E - works
Answer:
A and E just to make it quick hope this helps
Step-by-step explanation:
The L-shaped room shown is to be carpeted with carpet that costs $3.89 per square foot. What will be the cost of the carpet?
Question 14 options:
$1034.74
$1186.45
$1058.08
$1194.23
Answer:
I think C but then again I could be wrong.
Systems of the Body Constructed Response
Several body systems must work together so that your body can use food for
energy and building material. Choose three body systems from the list below and
describe how those three body systems work together when you bite into a cookie
to change the cookie into a form that can be used by your body's cells.
Digestive
Circulatory
Endocrine
Excretory
Muscular
Nervous
Respiratory
Answer:
note: there may be other possible explanations and more body systems can be involved and I can go into much greater detail
1: Nervous system signals your muscles in mouth to abduct and adduct as well as your salivary glands to produce saliva to break down the food, as well as prepare the stomach to digest the food
2: Muscular system moves muscles in mouth to break food down into smaller pieces so there is greater surface area for digestive enzymes to work on the food, then muscles in oesophagus move food to stomach, where stomach muscles churn the broken down food around to speed up digestion
3: Digestive system releases numerous digestive enzymes into the food to break down lipids, carbohydrates and proteins. Small intestines absorb nutrients into bloodstream, and large intestine absorbs water.
4: Excretory system removes excess mostly dry waste through the anus as well as urine from ureter.
Ted won 41 pieces of gum playing basketball at the county fair. At school he gave two to every student in his math class. He only has 9 remaining. How many students are in his class?
Answer:
16 People have 2 pieces of gum
You deposit $60 in an account earning simple interest at an annual rate of 5% after 12 years what is your new balance
Answer:
The total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.
Step-by-step explanation:
Given
Principle P = $60
Rate r = 5% = 5/100 = 0.05
Time period t = 12 years
To determine
New Balance A = ?
Using the formula
A = P(1 + rt)
A = 60(1+(0.05×12))
A = $96.00
Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.
If
5
(
p
+
3
)
=
18
+
2
p
, what is the value of
p
?
Answer:
p=1
Step-by-step explanation:
Alex started a new social media account, which he uses to post pictures of cute animals. On the first day, he had only 8 followers. However, his account became popular very quickly and his number of followers tripled every day. Identify the recursive function that gives the number of followers he has after n days.
Answer:
[tex]T_n = 3T_{n-1}[/tex]
Step-by-step explanation:
Given
[tex]T_1 = 8[/tex] -- First term
[tex]r = 3[/tex] --- rate
Required
Determine the recursive term
We have:
[tex]T_1 = 8[/tex]
The second term to the nth term is:
[tex]T_2 = T_1 * 3 = 8 * 3 = 24[/tex]
[tex]T_3 = T_2 * 3 = 24 * 3 = 72[/tex]
[tex]T_4 = T_3 * 3 = 72 * 3 = 216[/tex]
Using the above yardstick:
[tex]T_n = T_{n-1} * 3[/tex]
[tex]T_n = 3T_{n-1}[/tex]
Answer:
4.Let the required function be denoted by f(n) , where n denotes the nth day after Alex started a new social media account.
On day 1, the number of Alex’s followers is 8. Hence f(1) = 8.
Subsequently, the number of Alex’s followers tripled every day. Hence f(n) = 3f(n-1) when n > 1.
Thus, the recursive function is
f(1) = 8
f(n) = 3 f(n-1) if n > 1.
Option D is the correct answer.
Step-by-step explanation:
What is the value of q?
Pls help fast
Answer:
C
Step-by-step explanation:
from the give table write slope intercept equation .
Answer:
y = 2x + 5
Step-by-step explanation:
To find the slope given a table of x and y coordinates, you use the point-slope formula, which is y2 - y1 divided by x2 - x1. It's generally easier if you find a slope that doesn't have negative numbers involved.
In this case, you take the last two sets of ordered pairs (4,13) and (2,9) and plug those into the formula.
(13-9) / (4-2)
This gives you 4 / 2, which can be reduced to 2. So that means your slope is 2. This number represents the m variable in the slope-intercept equation.
Next, take the slope-intercept equation (y=mx+b) and plug in your slope value, and use one of the ordered pairs to discover the y-intercept (value b).
In this case, we'll pick the ordered pair of (4, 13) - x=4, y=13
the equation would be: 13 = 2(4) + b
13 = 8 + b
b = 5
Now that you have the slope (m) and y-intercept (b), you can write the equation as y = 2x + 5
Hope this helps!
A square is inscribed inside a circle. What is the approximate area of the blue region?
Answer:
Area of circle-area of square= blue region area
A= pi r^2
=pi x 8.5^2
=226.980069222 or 227
A= l^2
= 12^2
= 144
227-144= 83
Area of blue is 83 cm^2
solve for c
c+d=15
3c+2d=36
WILL MARK BRAINLIEST AND MANY POINTS PLS ANSWER
need help asap please
Answer:
[tex]\displaystyle 40[/tex]
Step-by-step explanation:
This is an isosceles triangle, therefore you must double up DA to get 40.
I am joyous to assist you at any time.
iGIVEEEEEEEEEEEEEEEEE BRAINLILSTTT
Answer:
first box (x): 10
second box (y): 12
Step-by-step explanation:
HIJ is a translation of HIJ
translation just means you move the whole thing without any rotations dialations ect just moving it
from the blue shape it is asking what do you have to do to the x and y to get to the purple shape
you have to go +_x and take away _y
when you add a digit to x it moves to the right
when you add a digit to y it goes one up
because the HIJ are equaly spaced it dosnt matter which one we choose cause it will have the same answer
im going to use J
on the blue J you can see the x value is -8
the purple J's value is 5
to get from -5 to 5 you add 10
-5+5=0
0+5=5
5+5=10
therefore the first box (x) is 10
same thing for the y value im going to use J again
blue y value of J is 7
purple y value of J is -5
their distance is 12
7-7=0
0-5=-5
7+5=12
second box (y) is 12
i hope this helps
applied the distributive property to factor out the greatest common factor 35 + 14
Answer:
35+14=7(5+2) , so you have the alternative way of computing the sum.
49=7(7)
Answer:
35+14=7(5+2)
Step-by-step explanation:
Write the given percent of increase or decrease as a growth factor.
7% Increase
a.1.7
c. 7.1
c.1.007
d.1.07
Answer: D
Step-by-step explanation:
please help me asap!!!
Answer:
230
Step-by-step explanation:
Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.
Answer:
m< CDF = 58°
Step-by-step explanation:
Key skills needed: Congruent Triangles
1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.
2) Since both triangles have 1 right angle, they are both triangle triangles.
3) Both triangles share the same hypotenuse (DF)
Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC
Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it
HL means Hypotenuse-Leg
This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.
4) Since ΔEDF ≅ ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.
--> To say that < CDF is congruent to < EDF, we can use the theorem:
If Δs are ≅, then all corresponding parts are ≅.
5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)
Since <EDF is 58°, <CDF would also be 58°
Hope you understood and have a nice day!! :D
Rewrite each fraction with a denominator of 20 1/4 and 11/10
WILL GIVE BRAINLY Which one of the following angles are supplementary to ZDOE in the figure given below?
Answer:
AOE
Step-by-step explanation:
A supplementary angle equals 180 which is also a straight line.
gives the value of the expression b x 4 for b = 21?
Answer:
5
Step-by-step explanation:
Answer:
its A
Step-by-step explanation: i passed the test