Answer:
b = 30
Step-by-step explanation:
-5=-1/6b
Multiply each side by -6 to isolate b
-5 * -6 = -6 * -1/6 b
30 = b
What is the middle term of the product of (x - 4)(x - 3)?
Answer:
- 7x
Step-by-step explanation:
Given
(x - 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) - 4(x - 3) ← distribute both parenthesis
= x² - 3x - 4x + 12 ← collect like terms
= x² - 7x + 12
with middle term = - 7x
Answer:
Step-by-step explanation:
= x(x-3) - 4(x-3)
= x²-3x - 4x + 12
= x² -7x +12
So -7x is the middle term
solve as many as you can please
Answer:
1. 5²
2. 6p⁵
3. y⁶
4. 1/5w²
5. n⁶/9p⁷
7. 12²
8. 2/5
is the square root of 34 rational or irrational
Answer:
irrational
Step-by-step explanation:
If a square root is not a perfect square, then it is considered an irrational number.
The square root of the number 34 is not a rational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The square root of the number 34
When evaluated, we have
The square root of the number 34 = √34
So, we have
The square root of the number 34 = 5.83.....
The above number cannot be represented by the quotient of 2 integers
Using the above as a guide, we have the following:
We can conclude that the number is an irrational number
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confused on this one
1. Assume that m26 = 60°. What must be true about 26 and 23 for the
lines to be parallel? Name the postulate or theorem that you used in
this justification
Answer:
The other measurement has to be 120 degrees. In other words, the two angles have to add up to 180 degrees. The method for that is same side interior.
Step-by-step explanation:
In same side interior angles, the sum of the two angles has to be 180 degrees. So we know that one of the angles is 60 degrees so we do 180-60=120.
Mandy works construction. Shes knows that a 5 meter long metal bar has a mass of 40 kg.Mandy wants to figure out the mass (w) of a bar made out of the same metal that is 3 meters long and the same thickness.
Answer:
24 kg
Step-by-step explanation:
40/5 = 8 and 3x8 = 24
Answer:
24 kg
Step-by-step explanation:
[tex]\frac{5}{40} =\frac{3}{w} \\5w=120\\w=\frac{120}{5}=24[/tex]
in the figure below, BCA ~ STR. Find cos C, sin C, and tan C. Round your answers to the nearest hundredth.
Answer:
[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]
Step-by-step explanation:
According to the trigonometric ratios in aright triangle :
[tex]\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}[/tex]
Given: ΔBCA ~ ΔSTR
Since , corresponding angles of two similar triangles are equal.
So, ∠C = ∠T ...(i) [Middle letter]
In triangle STR
[tex]\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63[/tex] ...(ii)
From (i) and (ii), we have
[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]
A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?
==========================================
Explanation:
We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).
Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.
---------
You can use the combination formula with n = 12 and r = 3. Doing so will give the following:
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\[/tex]
As you can see, we get the same result and note how 1320/6 is also present as well.
The greatest number of different 3-person teams that can be chosen is 220.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
The Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
Consider the set {A,B,C}.
3*2*1 = 6 ways to arrange this set of letters.
When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC.
We can use the combination formula with n = 12 and r = 3.
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^{12}C_3= \dfrac{12!}{3! \times (12-3)!} ways.\\\\\\^{12}C_3= \dfrac{12!}{3! \times (9)!} ways.\\\\^{12}C_3= \dfrac{12 \times 11 \times 10 \times 9}{3! \times (9)!} ways.[/tex]
1320/6 = 220
Thus, the greatest number of different 3-person teams that can be chosen is 220.
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What is the value of x in the equation ( x +
({ x + 12) = {(x +
4x + 14) – 3?
-24
-6
2
0
Answer:
3
Step-by-step explanation:
(x+(×+12)=(×+4×+14)-3
×+×+12=×+4×+14-3
2×+12=5×-2×
+12-11=5×-2×
-1=3×
An eraser is in the shape of a triangular prism. Its dimensions are shown in the diagram. What is surface area of the
eraser?
50 mm
40 mm
40 mm
30 mm
3,600 square millimeters
4.800 square millimeters
5,400 square millimeters
6,000 square millimeters
Answer:
6000 square millimeters
Step-by-step explanation:
Side length of the slanting side can be calculated using the Pythagorean theorem,
L = sqrt(30^2+40^2) = 50
sufrace area of a triangular prism
= surface area of the end sections + the surface area of the three side faces
= 2*(30*40/2) + 40*(30+40+50)
= 1200 + 4800
= 6000 mm^2
Answer:
D) 6,000 square mm
Step-by-step explanation:
To find the surface area of the triangular prism, find the are of each face.
40 × 30 ÷ 2 = 600 × 2 sides = 120040 × 50 = 200040 × 30 = 120040 × 40 = 1600After adding all the sides' together, you get 6,000 square mm.
Mrs. Lobo earns a salary of $50,000 per year plus a 4% commission on her sales. The average price of a share
she sells is $50.
Write an inequality to describe about how many shares Mrs. Lobo must sell to make an annual income of at
least $70,000
Select one:
O a. 50,000 + 2x > 70,000
O b. 50,000 + 2x < 70,000
O c. 50,000 -- 2x > 70,000
d. 50,000 + 2 > 70,000
Answer:
a) 50,000 + 2x > 70,000
Step-by-step explanation:
Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.
If she makes $y commission from sales, Mrs Lobo total income per year is:
$50000 + $y.
She makes 4% commission on her sales of share with the average price of a share = $50
Average commission from sales = 4% × $50 = 0.04 × 50 = $2
If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:
50000 + 2x
The amount of shares Mrs Lobbo must sell to make an annual income of at
least $70,000 is given by the inequality:
50,000 + 2x > 70,000
What is the length of the short leg in the 30-60-90 triangle shown below?
Answer:
it is D. 5
Step-by-step explanation:
The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A
Answer:
[tex]\boxed{Shortest\ Leg = 5}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg
=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg (Tan 60 = √3)
=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]
=> Shortest Leg = 5
A number is no more than five. How would you graph this inequality?
Answer:
X<=5 and you would graph it with a closed dot on five and an arrow going left of it.
Step-by-step explanation:
Answer:
[tex]a<5\\\\a\in R[/tex]
Step-by-step explanation:
In several ways, for example, let:
[tex]a[/tex], an arbitrary constant, where:
[tex]a\in R[/tex]
Besides:
[tex]a< 5[/tex]
Because the number can be greater than five.
Therefore, the graph, would be all number over the interval:
[tex](-\infty, 5)[/tex]
As you can see, all numbers bellow the line [tex]y=5[/tex].
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).
Answer:
SA = 3.04m²
Step-by-step explanation:
SA = 2 x ( Length x Width + Width x Height + Length x Height )
SA = 2 x ( 0.4 x 1 + 0.4 x 0.8 + 1 x 0.8 )
SA = 2 x ( 0.4 + 0.32 +0.8)
SA = 2 x 1.52
SA = 3.04 m²
I wish this could help you !
Answer:
3.04 is the correct answer =)
Step-by-step explanation:
Terry bought some gum and candy. The number of packages of chewing gum was one more than the number of mints. The number of mints was three times the number of candy bars. If gum was 6 cents a package, mints were 3 cents each, and candy bars were 10 cents each, how many of each did he get for 80 cents?
Answer:
2 Candy bars
6 Mints
7 Gum
Step-by-step explanation:
Candy bars=x
mints=3x
gum=3x+1
10(x)+3(3x)+6(3x+1)=80
10x+9x+18x+6=80
37x=80-6
37x=74
x=2
SO:
cand bars = x = 2
mints = 3x = 6
gum = 3x+1 = 7
Answer:
2 candy bars, 6 mints, and 7 packages of gumm
Step-by-step explanation:
I need help doing this can anyone help?
You posted a lot of questions. I'll do the first four problems to get you started.
============================
Problem 1
This sequence is arithmetic because we add the same amount (4) each time to get the next term. The first term is -2. The first five terms are: -2, 2, 6, 10, 14
============================
Problem 2
This sequence is geometric. We multiply each term by 1/4 to get the next term. We start with 8 as the first term. The first five terms are 8, 2, 1/2, 1/8, 1/32.
============================
Problem 3
Similar to problem 1. This time we're adding -19 to each term to get the next one. The starting term is -6. This sequence is arithmetic and the first five terms are -6, -25, -44, -63, -82
============================
Problem 4
Similar to problem 2. This sequence is geometric with common ratio 2/3. First term is 6. The first five terms are 6, 4, 8/3, 16/9, 32/27
HELP ME ON THIS ONE PLZ NEED ANSWERS
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
A mapping diagram. Element x contains negative 4, negative 3, negative 1, and 1. Element Y contains negative 3, negative 1, and 4. Negative four maps to negative 1. Negative three maps to negative 3 and 4. Negative one maps negative 1. One maps to 4.
Answer:
See below.
Step-by-step explanation:
The domain of a relation are simply its x-values, while the range of a relation are its y-values.
1)
We have the relation:
{(-7,2), (-2,2), (0,1), (4,5)}
Again, the domain of this relation are the x-values. Therefore, the domain is:
{-7, -2, 0, 4}
The range of this relation are the y-values. Therefore, the range is:
{2, 1, 5}
Note that even though the 2 repeats, we only count it once because it's the same.
2)
We have the relation:
{(-4,-1), (-3,-3), (-3,4), (-1,-1), (1,4)}
The domain are the x-values. Therefore, the domain is:
{-4, -3, -1, 1}
Again, the -3 repeats so we only count it once.
And the range would be the y-values:
{-3, -1, 4}
It's customary to place them in ascending order.
Answer:
If there are two set A and B. All the elements of set A are called domain and all elements of set B are range.And element of B which are maping with set A elements are codomain
Step-by-step explanation:
domains are -7,-2,0,4
range are 2,1,5
I hope this is helpful for you
help me meeeeeeeeeeee
Answer:
15 pupcakes
Step-by-step explanation:
Purple is 1 out of 4 sections
1/4 times the number of total pupcakes
1/4 * 60
15
Put the steps of storm formation in the correct order.
Ice and water droplets fall
The Sun heats the
Water vapor condenses
Water droplets freeze.
Warm air rises into the
to the surface
surface
upper atmosphere.
Answer:
The Sun heats the surface
Warm air rises into the upper atmosphere
Water Vapors condenses to the surface
Water droplets freeze
Ice and water droplets fall.
Step-by-step explanation:
Clouds are formed when invisible water vapors condenses into air and droplets or ice crystals are formed. Water enters into the air through evaporation process. The are few necessary steps for storm formation. The sun heats the surface of the earth and warm air rises into the upper most atmosphere where temperature is lowered. Water vapors condenses from the surface and rises to the upper atmosphere water droplets freeze in upper atmosphere because of reduce temperature and then ice or water droplets fall.
Answer:
The Sun heats the surface
Warm air rises into the upper atmosphere
Water Vapors condenses to the surface
Water droplets freeze
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
Simplify the inequalities and match them with the graphs that represent them. x + 1 15 7x 12 arrowRight arrowRight arrowRight arrowRight Reset Next
Answer:
I dont quite understand the inequalities, I think it might be the way is shows up, bit the first graph represents x equals all numbers less than 6. The second graph is all numbers greater than 6. Third graph is all numbers less than 7. forth graph is all numbers greater than 7.
Step-by-step explanation:
If you want to give me a better representation of the inequalities, I would be more than happy to help you more!! :)
Hope this helps!!
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. Mean for both bakeries because the data is symmetric PLEASE ANSWER THIS IS MY 4TH TIME ASKING BRAINLIEST AND 43 POINTS Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric Median for both bakeries because the data is not symmetric
Answer:
Mean
Step-by-step explanation:
The numbers have a very large range. So you should use the mean(or average) to get more accurate data.
What is the slope of the line shown on the graph? A)3 B)1/3 C)−3 D)−1/3
Answer:
1/3
Step-by-step explanation:
The slope of the line is found by
m = (y2-y1)/(x2-x1)
we have two point ( 0,0) and ( 3,1)
= ( 1-0)/( 3-0)
= 1/3
Find the path of the numbers from the upper left corner to the bottom right corner. The sum of the numbers must be equal to the number at the exit arrow. You are allowed to move either down or to the right only.
Answer:
8, 11, 19, 1, 6, 18, 3
Step-by-step explanation:
8+11+19+1+6+18+3=66
The endpoints of a line segment can be represented on a coordinate grid by the points
A(-4, 1) and ((-4, -3). Graph and label each of the endpoints of the line segment on
the coordinate grid below.
AssAssessment captures blank growth
Which point is the image of R? Choose one answer: A B C D
Answer:
point D
Step-by-step explanation:
moving 270 degrees clockwise from point R would result in the point being in quadrant I
point D is the only point in quadrant I
Find m∠CBD,,,,,,,,,,
Answer:
angle CBD=125
Step-by-step explanation:
(8x-41)+(9x+17)=180
17x -24 = 180
17x=204
x=12
9(12)+17=125
Answer:
125
Step-by-step explanation:
The two angles from a straight line so they add to 180
ABC + CBD = 180
8x -41+ 9x+17 = 180
Combine like terms
17x -24 = 180
Add 24 to each side
17x -24+24 = 180 +24
17x = 204
Divide by 17
17x/17 = 204/17
x =12
We want angle CBD
CBD = 9x+17
= 9*12+17
=108+17
= 125
In the diagram, AC and PR are vertical lines, while CB is a horizontal line segment. If CR : RB = 2 : 3, what are the coordinates of point Q? A. (-2, -4) B. (-1, -5) C. (-3, -3) D. (0, -6)
Answer:
A. (-2,-4)
Step-by-step explanation:
If CR:RB is 2:3, and C is (-4,-7), then R is (-2,-7)
You can stop here because only A has the x value as -2.
If you want to look at the y value also, -4 is 2/5 of the way between -2 and -7, which has the same 2:3 proportion.
Blue paper chains 4 inches long. Red paper chains are 3 inches long. How many are needed to have 10 inches of paper chains?
1 blue paper chain and 2 red paper chains
Answer:
1 blue paper chains and 2 red
Step-by-step explanation:
becuase 4 plus 3 plus 3 is 10
FIRST GETS BRAINLLEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.
Answer:
8110
Step-by-step explanation:
80+80+50+50=260
3.14(50)²=7810
7810+260=8110
-p + 3/5a -1/10q + 1/9-1/9p+2 1/3p
Step-by-step explanation:
1.) first simplify or combine like terms.[tex]\frac{3a}{5} -p-\frac{p}{9}+\frac{7p}{3} -\frac{q}{10}+\frac{1}{9}[/tex]
2.) then condense. [tex]\frac{3a}{5} +\frac{11p}{9}-\frac{q}{10}+\frac{1}{9}[/tex].