Answer:
379
Step-by-step explanation:
a23 = 27 + (23-1)(16)
= 27 + (22)(16)
= 27 + 352
= 379
Enter the correct answer in the box.
if x ≠0 what is the sum of 4 ^3/ x^10 + 5 3 ^3/8x in simplest form? Ignore the answer that’s already there
9514 1404 393
Answer:
14x³∛x
Step-by-step explanation:
Factor cubes from under the radical and combine like terms.
[tex]\displaystyle 4\sqrt[3]{x^{10}}+5x^3\sqrt[3]{8x}=4\sqrt[3]{x(x^3)^3}+5x^3\sqrt[3]{x(2^3)}\\\\=4x^3\sqrt[3]{x}+5x^3\cdot2\sqrt[3]{x}=(4+5\cdot2)x^3\sqrt[3]{x}\\\\=\boxed{14x^3\sqrt[3]{x}}[/tex]
_____
Additional comment
When using an equation editor to create your answers, you need to be careful to make the distinction between the multiplication symbol × and the variable x. Note, too, that exponents generally must be written using the superscript form. x10 and x¹⁰ are not the same thing.
Write ten rational numbers between 3/5 and 3/4
Answer:
Any of these numbers will work:
0.61
0.62
0.63
0.64
0.65
0.66
0.67
0.68
0.69
0.70
0.71
0.72
0.73
0.74
3/5 is .60
3/4 is .75
These are all rational numbers that fall within those two numbers.
Complete the following statement mentally.
Answer:
The answer to your question is given below.
Step-by-step explanation:
Let the total number be U.
From the question given above, we were told that any number of B is 50% of the total number (i.e U).
Now, we shall determine the the total number (U) in terms of B.
50% of U = B
50/100 × U = B
50U / 100 = B
Cross multiply
50U = 100B
Divide both side by 50
U = 100B/50
U = 2B
Thus, the total number is 2B
Finally, we shall determine the answer to the question:
111 is 50% of ___
B = 111
Total number (U) = 2B
Total number (U) = 2 × 111
Total number (U) = 222
Therefore,
111 is 50% of 222
These box plots show daily low temperature for a sample of days in two different towns
Answer:
The interquartile range (IQR) for town A, 15° is less than the IQR for town B, 20°.
Step-by-step explanation:
From the boxplot Given ;
Town A :
The first quartile, Q1 = 15
Third quartile, Q3 = 30
The interquartile range, IQR = Q3 - Q1 = 30 - 15 = 15°
TOWN B :
The first quartile, Q1 = 20
Third quartile, Q3 = 40
The interquartile range, IQR = Q3 - Q1 = 40 - 20 = 20°
The interquartile range (IQR) for town A, 15° is less than the IQR for town B, 20°.
Five children have to form a queue. In how many different ways can they be arranged?
A. 120
B. 100
C. 60
D. 80
Answer:
120 different ways
The total number of ways to do this is the product because of the fundamental counting principle[1]. So 5x4x3x2x1 = 5! (read as “5 factorial”[2]) = 120 different ways to line up those 5 people. Five people lining up essentially means 5 people sorting into 5 positions.
Which statement is true about the function f(x)= sqrt of x?
According to this diagram, what is tan 74°?
74°
25
7
16
90°
24
O A.
7
24
B. 24
C.
D. 24
O E. 25
F.
Option B is correct, the value of tan 74° is 24/7
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We have to find the value of tan74°
The tan function is ratio of opposite side and adjacent side.
We have to find the opposite side of angle 74°,
The opposite side has length 24
Now let us find the adjacent side of angle 74 which is 7
tan 74° = 24/7
Hence, option B is correct, the value of tan 74° is 24/7.
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The relationship between the amounts of blue
and red paint needed to make a certain shade
of purple is shown in the following graph.
10+
9+
8+
7
6
Liters of red paint
5+
4+
3+
2
1
→
3
1
2
Liters of blue paint
Which statements about the graph are true?
Choose all answers that apply:
Answer:
B
Step-by-step explanation:
Had it on Khan Academy.
True statement for the given graph is the point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.
What is graph?
" Graph is defined as diametrical representation of the relation between the variables on the coordinate plane along x-axis and y -axis."
According to the question,
As given in the graph,
Graph represents the linear relation between red paint and blue paint.
'x -axis' on the graph represents the blue paint
'y- axis' on the graph represents red paint
A. The point [tex](0,0)[/tex] shows that any amount of red and the blue paint will make same shade of purple.
From the graph coordinates [tex](1,3)[/tex] and [tex](2, 6)[/tex]represents that proportion of blue : red to make required purple shade is [tex]1: 3[/tex].
Hence, Option A is not a correct answer.
B. The point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.
Coordinate [tex]( 3,9)[/tex] on the graph represents the ratio of blue : red [tex]= 3 : 9[/tex] which is equals to [tex]1:3[/tex] .
Hence, Option(B) is the correct answer.
Learn more about graph here
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HELPPPPPPPPPP
Which of the following is equivalent to the expression below ?
square root 8 minus square root 72 plus square root 50 ?
A. 13 square root 2
B. 7 square root 2
C. 3 square root 2
D. Square root 2
Answer:
a13 square root
..cv
..
..
Estimate the unit selling price of an item for which the following data is available. Labor 15 hours at $26/hr Overhead 150% of labor Material Costs $89 each Packing Costs 10% of labor Subcontract Cost $11 each Sales Commission 5% of selling price Profit 10% of selling price
Answer:
$1281.1
Explanation:
Unit selling price is total cost plus markup(percentage profit on total cost price)
Assuming overhead is already apportioned to each product at $585 each
Total cost:
Labor 15hrs at $26/hr=15×26=$390
Overhead 150% of labor=150%×390=$585
Material Costs= $89
Packing Costs= 10%×390= $39
Subcontract Cost= $11
Sales Commission= 5% of selling price=$55.7
Total cost = $1169.7
Profit =10% of selling price= $111.4
Selling price =total cost + profit
= $1281.1
The table shown gives values of the function y=g(x) for selected values of x.
Answer: C
Explanation:
A is eliminated because of 3 and 24, 3^2 is 9 and 9 times 3 isnt 24
B is eliminated because of 1 and 6, 2 plus 3 is 5 not 6
C works for all the number sets
D is eliminated because of 1 and 6, again 3 plus 2 is 5 not 6
The median of the values 3.4, 4.7, 1.9, 7.6, and 6.5
Answer:
4.7
Step-by-step explanation:
the median is the middle number in a set of numbers so first we need to put them in order
1.9 3.4 [4.7] 6.5 7.6
this one is easy since we have an odd number of digits
the answer is 4.7
Jim is the quarterback on his football team.
He was sacked 3 times during the game.
Each time he was sacked, the team lost 7
yards. What was the total number of yards
lost from the sacks?
Answer: 21 yards
Step-by-step explanation:
Multiply 3 by 7 to find the number of years lost from the sacks because he was sacked 3 times and each time he lost 7 yards.
He lost 7 yards per sack , so in three sacks he will lose 21 yards.
3* 7 = 21
PLEASE ANSWER MAKE SURE YOU ARE RIGHT PLEASE I WILL MARK AS BRAINIEST
FIND THE VOLUME OF THE CYLINDER
Answer:
Find the volume of the cone, the answer i got was 37.68 but it asked to round so it should be 37.7
Hope this helps :)
Answer:
If we want to find volume of cone we must use this formule: πr²*high/3.
Step-by-step explanation:
let's solve step by step
firstly you know the radius is 3 and high is 4
if we accept π to 3. the answer is must be (3*3*4)/3 and finally the answer is 12 units³
Which of the following inequalities represents all values of X for which the quotient below is defined?
Answer:
[tex]x \ge 1[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{6(x - 1)} \div \sqrt{3x^2[/tex]
Required
x for [tex]which[/tex] the function is [tex]de fi ned[/tex]
To do this, we set the numerator root [tex]\ge 0[/tex]
So, we have:
[tex]6(x - 1) \ge 0[/tex]
Divide by 6
[tex](x - 1) \ge 0[/tex]
Solve for x
[tex]x \ge 1[/tex]
Also, we set the denominator greater than 0:
[tex]3x^2 > 0[/tex]
Divide by 3
[tex]x^2 > 0[/tex]
Take square roots
[tex]x > 0[/tex]
So, we have:
[tex]x > 0[/tex] and [tex]x \ge 1[/tex]
Combine both to give:
[tex]x \ge 1[/tex]
PLEASE HELP!! I WILL GIVE BRAINLIEST AND POINTS!!
The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.
f(x) = -x2 - 6x
Answer:
Rewrite in vertex form and use this form to find the vertex
Rewrite in vertex form and use this form to find the vertex
(h,k).(−3,9)
Step-by-step explanation:
1
2
3
VX
Which is a unit rate?
4 dollars
3 cans
5 students
2 teachers
6 hours 1 book
O 3 mies 2 days
Answer:
6 hours to 1 book
Step-by-step explanation:
Which is a unit rate?
4 dollars to 3 cans
5 students to 2 teachers
6 hours to 1 book
3 miles to 2 days
A unit rate is a rate of a number to 1. The second number must be 1. The only unit rate is 6 hours to 1 book.
Answer: 6 hours to 1 book
Find the value of x if x/3-2=6
Step-by-step explanation:
hope it is helpful to you
stay safe happy and healthy
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{x}{3}-2=6}[/tex]
[tex]\mathsf{= \dfrac{1}{3}x - 2 = 6}[/tex]
[tex]\textsf{ADD 2 BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{1}{3}x - 2 + 2 = 6 + 2}[/tex]
[tex]\textsf{CANCEL out: -2 + 2 because that gives you 1}[/tex]
[tex]\textsf{KEEP: 6 + 2 because that helps solve for x}[/tex]
[tex]\mathsf{6 + 2 = \boxed{\bf 8}}[/tex]
[tex]\mathsf{NEW \ EQUATION: \dfrac{1}{3}x = 8}[/tex]
[tex]\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]
[tex]\mathsf{3\times\dfrac{1}{3}x=3\times8}[/tex]
[tex]\mathsf{CANCEL\ out: \ 3 \times \dfrac{1}{3} \ because \ that \ gives \ you \ 1}[/tex]
[tex]\mathsf{KEEP: \ 3 \times 8 \ because \ that\ gives \ you \ the \ value \ of \ x}[/tex]
[tex]\mathsf{\boxed{\bf x}= 3\times8}[/tex]
[tex]\mathsf{3\times8 = \boxed{\bf x}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 24}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
You survey 300 students at the highschool. Of the 300 students, 103 of them said that pizza is their
favorite food. If 751 students attend the high school, about how many students would choose pizza as
their favorite food?
Answer:
258
Step-by-step explanation:
the second difference 4;x;8;y;20;.... is 2
9514 1404 393
Answer:
x = 5y = 13Step-by-step explanation:
First differences are ...
x -4, 8 -x, y -8, 20 -y
Then second differences are ...
(8 -x) -(x -4)
(y -8) -(8 -x)
(20 -y) -(y -8)
Each of these is said to be 2, so we have ...
12 -2x = 2 ⇒ x = 5
28 -2y = 2 ⇒ y = 13
And an equation we can use to check:
x +y -16 = 2 ⇒ 5 +13 -16 = 2 . . . . true
_____
The explicit formula for the sequence is ...
an = n^2 -2n +5
question- pls help me find the answer to this question
Answer:
(a) 6cm
Step-by-step explanation:
Hope you have good grades and study well...btw make me as brainliest ty sweetie!
Someone help please!!
Answer:
9 (a) [tex]d = \frac{\sqrt{e}}{\sqrt{3}}[/tex]
9 (b) [tex]d = \frac{\sqrt{7k}}{\sqrt{2}}[/tex]
Step-by-step explanation:
Hope this helped!
Which expression is equivalent to -6(3x - 2/3)?
-6(3x-2/3)
=(-6).3x-(-6).2/3
=-18x-(-4)
=-18x+4
(6) Milan added 3 fish to his pond each day for 27 days. What was the total change in the number
of fish in the pond?
fish
Answer: 81
Step-by-step explanation: 27 times 3 = 81
Answer: 81
Step-by-step explanation: 21 times 3
Harold move no more than 43 of his sheep and goats into another field. fewer than 22 this animals are goats.
let s represent the number of sheep and let G represent the number of goats Identify two inequalities that represent this situation.
If AABC= A DEF, which congruences are true by CPCTC? Check all that
apply.
APEC correct answer is:
AB =DE
AC= DF
See photo.
Answer:
Options A, B and D
Step-by-step explanation:
If the two triangles are congruent, their corresponding parts will be congruent.
If ΔABC ≅ ΔDEF
By the property of CPCTC,
AB ≅ DE
AC ≅ DF
BC ≅ EF
∠A ≅ ∠D
∠C ≅ ∠F
∠B ≅ ∠E
Therefore, Options A, B and D are the correct options.
Which angles are supplementary to 24? Select all that apply.
Answer:
<2, <3, <6, <7
Step-by-step explanation:
Supplementary to <4 means that, <4 and that angle equals 180. So we will move angle by angle.
<1 = Is not supplementary because both are virtually opposite angle and virtually opposite angles are equal.
<2 = Is supplementary angle because it is a vertical linear pair with <4.
<3 = Is supplementary angle because it is horizontal linear pair with <4
<5 = Is not supplementary angle because they are alternate interior angles and alternate angles are equal.
<6 = Is supplementary because angles on the same side and same interior/exterior are supplementary. (By interior/exterior, I meant that they have to be either interior or exterior. No both)You can also use the reason that 6 and 2 are corresponding angles, and corresponding angles are equal. So, if 2 is supplementary to 4, then 6 is also supplementary to 4. I think the latter is better than the first.
<7 = Is supplementary because it is vertically opposite to 6 and 6 is supplementary, so 7 is also supplementary.
<8 = Not supplementary. Because 4 and 8 are corresponding angles and corresponding angles are not equal. And also 8 is equal to 5. And 5 is not supplementary to 4. That means 8 is also not.
Ugh... I really hope u understand, and don't think that I am blabbering.
Thank You
Please mark me as the brainliest
ASAP. There are three marbles in a bag. When is red and two are black. What is the probability of picking a black marble first, putting it back in the bag and then picking a black marble? Use the following probably need to find the answer.
Answer:
Number of black balls=2
Total number of balls=3
Probability =2/3
what is the answer?
(2a³b⁴)⁴=
Answer:
16a^12 b^16
Step-by-step explanation:
that's the answer. just multiply out the powers
Answer:
16*(a^12)*(b^16)
Step-by-step explanation:
In order to solve this problem, we can split these term into three separate terms.
[tex]{(2 {a}^{3} {b}^{4})}^{4} = {2}^{4} \times {( {a}^{3}) }^{4} \times {( {b}^{4} )}^{4} [/tex]
2 to the power of 4 is 16.
[tex] {2}^{4} = 16[/tex]
As for the terms a and b, the two exponents can multiply with each other.
[tex] {( {a}^{3} )}^{4} = {a}^{(3 \times 4)} = {a}^{12} [/tex]
[tex] {( {b}^{4} )}^{4} = {b}^{(4 \times 4)} = {b}^{16} [/tex]
Now, we can directly multiply the values together by combining into one term.
Hence, the final answer is
[tex]16 {a}^{12} {b}^{16} [/tex]
Lance is selling T-shirts for $10 each and hats for $12.50 each. He wants to earn at least $400 per week to cover his expenses. Which graph best represents the number of T-shirts and hats Lance should sell to meet his goal?
Answer:
Step-by-step explanation: