Answer:
12, -3.7, ⅓
(2nd, 3rd and 5th option)
Step-by-step explanation:
Constants are numbers without any variables with it.
x and y are the variables here.
-8 is the coefficient of y and hence it is not a constant.
*the value of a constant will not change
Note that the constant includes the symbol too, hence it is -3.7 and not 3.7.
Answer: 2nd 3rd and 5th option hope this helps
Step-by-step explanation:
Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.
Answer:
The third and fourth options.
Step-by-step explanation:
You simplify the inequality first...
-6x + 15 < 10 - 5x
-x < -5
x > 5
The first option is incorrect since it is less than.
The second option is basically -5x < 15; x > -3; that's incorrect.
The third option is basically -x < -5; x > 5; that is correct!
The fourth option is correct since it shows more than 5.
The fifth option is incorrect because it shows less than -5.
Hope this helps!
Answer: The answer is C and E
Step-by-step explanation:
Hope this helps;)
Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line connects points E and D to form a triangle. Line segments J H and J G are radii. A line connects points H and G to form a triangle. Angles D F E and G J H are congruent. m∠DFE = 80°. What is the measure of arc Arc G H? °
Answer:
[tex]mGH=80^\circ[/tex]
Step-by-step explanation:
Circle F and J are congruent.
[tex]\angle DFE \cong \angle GJH[/tex]
Given that: m∠DFE = 80°
DFE is the central angle of the circle F.
The measure of arc GH is equal to the central angle of Circle J.
Since both circles are congruent
[tex]mGH=\angle DFE = 80^\circ[/tex]
The measure of arc GH is 80 degrees.
Answer:
Arc GH=80°
Step-by-step explanation:
Edge 2020
The least of 3 consecutive integers is a, and the greatest is z. What is the value of a + 2z/ 2 in terms of a?
Answer:
The value of a + 2z/ 2 in terms of a is (3a+4)/2
Step-by-step explanation:
least of 3 consecutive integers is a, and the greatest is z
if a is the least one
we know that integers differ by value of 1.
example -2, -1, 0, 1,2
they all differ by
then next consecutive integer will be a+1
third integer will be second integer +1 = a+1 + 1 = a+2
Thus, 3 consecutive integer
a , a+1, a+2
but given that greatest is z
thus, a+2 is greatest and hence
a+2 = z
we have to find value of a + 2z/ 2 in terms of a
a + 2z/ 2 = a + 2(a+2)/2 = (a+ 2a +4)/2 = (3a+4)/2.
The value of a + 2z/ 2 in terms of a is (3a+4)/2
Parents sold 275 tickets for a fundraiser at the community center. Student tickets cost $3, and adult tickets cost $5. The total value of tickets sold is $1,025. Which system of equations represents the problem? 3x + y = 275 x + 5y = 1025 y = 275 3x + y = 1025 x + y = 275 3x + 5y = 1025 y = x + 275 x + y = 1025
Answer:
3x+5y=1025
x+y=275
Step-by-step explanation:
We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.
Equation 1
3x+5y=1025
This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.
Equation 2
x+y=275
The total amount of tickets sold was 275.
What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?
a. 1, 2, 3
b. 0, 8, 16
c. 8, 5, 2
d. 11, 8, 5
Answer:
11,8,5
Step-by-step explanation:
an=11-3(n-1)
Let n=1
a1 = 11 - 3(1-1)
= 11 -0
=11
Let n=2
a2 = 11-3(2-1)
= 11 -3(1)
= 8
Let n=3
a3 = 11-3(3-1)
= 11 -3(2)
= 11 -6
=5
Answer:
The answer is 11,8,5
Step-by-step explanation:
that's the correct answer
Simplify:$$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}$$
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}[/tex]
All Done!
Answer:
Your correct answer is 8.660254
Step-by-step explanation:
√2√82 + 152 + √92 + 402 = 8.660254
Does this table represent a function? why or why not?
Answer:
I think it's A but I could be wrong
Answer: B
Step-by-step explanation:
A graph or table is a function if it passes the vertical line test. That means, each x and only 1 y. One x cannot have more than 1 y because, that means it does not pass the veritcal line test. In the vertical line test, the vertival line only passes through 1 point, not 2. Since we know that this graph does not pass the vertical in test, we can eliminate C and D. We can eliminate A because 2 y-values can be the same as lone as there have different x. B fits the description of what we see on the table. Therefore, the answer is B.
What is the slope of the line shown below? A. -1/3 B. 1/3 C. -3 D. 3
Answer:
C. -3
Step-by-step explanation:
Plugging both of those points into the slope formula gets you a slope of -3.
Which expression is equivalent to −(4−3)?Which expression is equivalent to −(4−3)?
Answer: −22+3
Step-by-step explanation:
Answer:
−22+3
Step-by-step explanation:
find the area of the figure below. round your answer to the nearest tenth
Step-by-step explanation:
Area 1 = the rectangle
8×3=24cm²
Area 2= semi circle
3.14r² 314/100×4×4 = 50.24cm²
add. 24+50.24 = 74.24cm² ( 10th)
= 74.2Juan did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey Park Number of Pink Butterflies Total Number of Butterflies P 25 53 Q 35 64 R 37 75 S 23 55 Based on the survey, which park had the greatest percentage of pink butterflies? Park P Park Q Park R Park S
Answer:
Park Q has greatest percentage of pink butterflies.
Step-by-step explanation:
Butterfly Park Survey Park P Q R S
No, of Pink Butterflies 25 35 37 23
Total Number of Butterflies 53 64 75 55
Now we are supposed to find which park had the greatest percentage of pink butterflies
So, Percentage of pink butterflies in park P =[tex]\frac{25}{53} \times 100=47.169\%[/tex]
Percentage of pink butterflies in park Q =[tex]\frac{35}{64} \times 100=54.68\%[/tex]
Percentage of pink butterflies in park R= [tex]\frac{37}{75} \times 100=49.33\%[/tex]
Percentage of pink butterflies in park S= [tex]\frac{23}{55} \times 100=41.81\%[/tex]
So, Park Q has greatest percentage of pink butterflies.
So, Option B is true
Hence Park Q has greatest percentage of pink butterflies.
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
Round the numbers to estimate the quotient.
29 1/5 ÷ 4 6/7
Nhich numbers should be used?
Answer:
≈ 5.8
Step-by-step explanation:
Step 1: Round the fractions
29 1/5 = 146/5 = 29.2 ≈ 29
4 6/7 = 34/7 = 4.85714 ≈ 5
Step 2: Divide
29/5 = 5.8
The answer is under
I NEED HELP ASAP!!!! WILL MARK BRAINLIEST
Answer: 5x + 1
Step-by-step explanation:
f(x) - g(x)
(3x + 2) - (-2x + 1) Here you distribute the negative sign to (-2x + 1)
3x + 2 + 2x - 1 Here you combine like terms
5x + 1 This is the answer.
On which number line do the points represent negative seven and one over two and +1? Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed in between the 6th and 7th tick marks to the left of 0. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed on the 1st tick mark to the right of 0 Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed in between the 7th and 8th tick marks to the right of 0. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 6th and 7th tick marks to the right of 0.
Answer:
A number line is used in the mathematical positioning of real numbers that include the numbers from positive infinity to negative infinity. This includes rational, irrational, fractions, and whole numbers. In this case, we are given with an expression that we have to reduce to lowest terms: negative seven and one over two and +1. The first one is equal to -7.5 while the other one is equal to +1. Positive numbers lie on the right side of zero (center of the line) while negative numbers lie on the left on the other hand. -7.5 lies between -8 and -7 while +1 lies exactly between 0 and 2. Both of which are positive numbers
I hope that is what your asking...
Answer:
On which number line do the points represent negative seven and one over two and +1? The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed in between the 6th and 7th tick marks to the left of 0. The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed on the 1st tick mark to the right of 0 Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed in between the 7th and 8th tick marks to the right of 0. The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 6th and 7th tick marks to the right of
Step-by-step explanation:
Miracle Maid Service charges a $30 house visit fee plus $5 per room to clean a house. What is the independent variable? A) The price per room B) The number of rooms C) The house visit fee D) The Miracle Maid Service
Answer:
B
Step-by-step explanation:
The independent variable is the variable who's variation doesn't depend on the other. Therefore the answer is B because the amount of rooms doesn't depend on the charge, the charge depends of the amount of rooms.
Simplify (*x* +2x? - 5x)+(-3x + x +1)+(3+* + 2x).
A. 3x + 2x* - 3x2 – 3x² +1
B 4x*- 3x + x2 + 4x +2
C. 4x4 - 3x + 3x² + 4x +2
D. 4x*- 3x + 3x? - 3x + 1
Answer:
D
Step-by-step explanation:
4x^4+3x^2-3x^3-3x+1
Does anyone know how to do all of this
Answer:
price paid of speakers= £40.5
price paid of headphones=£ 5.6
price paid of book=£6.65
price paid of mobile phone=£42
price paid of mouse=£ 15.75
price paid of DVD=£11.05
solution,
1. Cost of speakers:
Discount percent=10 %
Marked price=£45
discount amount= discount % of MP
=10% of 45
=£4.5
Selling price= MP - discount amount
=£45-£4.5
=£ 40.5
2. cost of headphones:
discount amount= discount% of MP
=20% of 7
=£1.4
Selling price= MP- Discount amount
=£7-£1.4
=£ 5.6
3. cost of books:
discount amount= discount percent of MP
= 30% Of 9.50
=£ 2.85
selling price= MP- Discount amount
= £ 9.50-£2.85
=£ 6.65
4. cost of mobile phone:
discount amount= discount% of MP
=40% of 70
=£ 28
selling price= MP- Discount amount
=£70-£28
=£ 42
5. cost of mouse:
discount amount= discount% of MP
= 25% of 21
=£ 5.25
selling price= MP- Discount amount
=£21-£5.25
=£ 15.75
6. cost of DVD:
discount amount= discount % of MP
= 15% of 13
= £ 1.95
selling price= MP- discount amount
=£ 13 -£ 1.95
=£ 11.05
Hope this helps...
Good luck on your assignment..
Which of the following is the correct scientific notation for 0.00566 meters?
A. 566 x 10-5 m
B. .566 x 10-3 m
C. 5.66 x 10-3 m
D. 5.66 x 103 m
Please help I will mark brainliest for correct answers!
Answer:27.5
Step-by-step explanation:
Answer:
B. 27.5
Step-by-step explanation:
37 is the Q2, which is the median,
Q1 is 27 + 28 / 2 = 27.5
HELP!
After a rotation, A(-3, 4) maps to A'(4, 3), B(4, -5) maps to B'(-5, -4), and C(1,6) maps to C'(6, -1). Which rule
describes the rotation?
R0, 90°
R0, 180°
Ro, 270°
RO, 360°
270 degree counterclockwise rotation around the origin
=============================================================
Check out the diagram below. In the diagram, I only focus on points A and A'.
We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation
The other points follow the same idea.
Answer:
c
Step-by-step explanation:
Which inequality is equivalent to \-41 <9?
0-9 > X-4 < 9
-9 < x-4 < 9
O X-4<-9 or x – 4 < 9
hry 4 > -9 or x - 4<9
How is the graph of y = 2 (3)^x+1 -4 translated from the graph of y = 2(3)^x
Answer:
f(x - n) - shift the graph n units right
f(x + n) - shift the graph n units left
f(x) - n - shift the graph n units down
f(x) + n - shift the graph n units up ----------------------------------------------------------------------------
Answer: shift the graph of y = 2(3)ˣ one unit right and four units up.
WILL MARK BRAINIEST IF CORRECT!!!
1) Write a real-world problem that can be represented by the inequality 8x - 15 ≥ 25.
2) What do the values in the solution set represent in your problem?
Answer:
Look below
Step-by-step explanation:
8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out
8x= 8 boxes
At least 25= no less than 25 students
-15= the 15 that threw them out
x=boxes
the people= All real numbers
HOPE THIS HELPS!!!
Answer:
1 2 3 4
Step-by-step explanation:
Solve -8x+4 ≤ 36
A. x ≥ -4
B. x ≤ 4
C. x ≥ 4
D. x ≤ -4
Answer:
x≥-4
Step-by-step explanation:
-8x≤36-4
-8x≤32
x≥32/-8 when divide by minus you flip from≤ to ≥
x≥-4
Answer:
x ≥-4
Step-by-step explanation:
-8x+4 ≤ 36
Subtract 4 from each side
-8x+4-4 ≤ 36-4
-8x ≤ 32
Divide by -8 remembering to flip the inequality
-8x/-8 ≥ 32/-8
x ≥-4
Use the following data set to find the sample statistics for the following data set. 1. (N) or (n) 2. (x-bar) or (μ) 3. (σ) or (s) Thanks!
Answer:
(1) N or n = 20
(2) [tex]\bar X \text{ or } \mu[/tex] = 43.4
(3) σ = 9.78 and s = 10.04.
Step-by-step explanation:
We are given with the following data set below;
{51, 48, 42, 43, 48, 48, 46, 15, 29, 45, 47, 55, 46, 35, 47, 48, 54, 26, 53, 42}
(1) As we can see in the above data that there are 20 data values in our data set which means that the value of N or n (numner of observations) is 20.
(2) The formula for calculating Mean of the data, i.e. [tex]\bar X \text{ or } \mu[/tex] is given by;
Mean = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{51 +48+ 42+ 43+48+48+ 46+ 15+ 29+ 45+ 47+ 55+ 46+ 35+ 47+ 48+ 54+ 26+ 53+ 42}{20}[/tex]
= [tex]\frac{868}{20}[/tex] = 43.4
So, the value of [tex]\bar X \text{ or } \mu[/tex] is 43.4.
(3) The formula for calculating population standard deviation ([tex]\sigma[/tex]) is given by;
Standard deviation, [tex]\sigma[/tex] = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{N} }[/tex]
= [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20} }[/tex]
= 9.78
Similarly, the formula for calculating sample standard deviation (s) is given by;
Sample Standard deviation, s = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }[/tex]
= [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20-1} }[/tex]
= 10.04
Need help with trig problem in pic
Answer:
a) [tex]cos(\alpha)=-\frac{3}{5}\\[/tex]
b) [tex]\sin(\beta)= \frac{\sqrt{3} }{2}[/tex]
c) [tex]\frac{4+3\sqrt{3} }{10}\\[/tex]
d) [tex]\alpha\approx 53.1^o[/tex]
Step-by-step explanation:
a) The problem tells us that angle [tex]\alpha[/tex] is in the second quadrant. We know that in that quadrant the cosine is negative.
We can use the Pythagorean identity:
[tex]tan^2(\alpha)+1=sec^2(\alpha)\\(-\frac{4}{3})^2 +1=sec^2(\alpha)\\sec^2(\alpha)=\frac{16}{9} +1\\sec^2(\alpha)=\frac{25}{9} \\sec(\alpha) =+/- \frac{5}{3}\\cos(\alpha)=+/- \frac{3}{5}[/tex]
Where we have used that the secant of an angle is the reciprocal of the cos of the angle.
Since we know that the cosine must be negative because the angle is in the second quadrant, then we take the negative answer:
[tex]cos(\alpha)=-\frac{3}{5}[/tex]
b) This angle is in the first quadrant (where the sine function is positive. They give us the value of the cosine of the angle, so we can use the Pythagorean identity to find the value of the sine of that angle:
[tex]cos (\beta)=\frac{1}{2} \\\\sin^2(\beta)=1-cos^2(\beta)\\sin^2(\beta)=1-\frac{1}{4} \\\\sin^2(\beta)=\frac{3}{4} \\sin(\beta)=+/- \frac{\sqrt{3} }{2} \\sin(\beta)= \frac{\sqrt{3} }{2}[/tex]
where we took the positive value, since we know that the angle is in the first quadrant.
c) We can now find [tex]sin(\alpha -\beta)[/tex] by using the identity:
[tex]sin(\alpha -\beta)=sin(\alpha)\,cos(\beta)-cos(\alpha)\,sin(\beta)\\[/tex]
Notice that we need to find [tex]sin(\alpha)[/tex], which we do via the Pythagorean identity and knowing the value of the cosine found in part a) above:
[tex]sin(\alpha)=\sqrt{1-cos^2(\alpha)} \\sin(\alpha)=\sqrt{1-\frac{9}{25} )} \\sin(\alpha)=\sqrt{\frac{16}{25} )} \\sin(\alpha)=\frac{4}{5}[/tex]
Then:
[tex]sin(\alpha -\beta)=\frac{4}{5}\,\frac{1}{2} -(-\frac{3}{5}) \,\frac{\sqrt{3} }{2} \\sin(\alpha -\beta)=\frac{2}{5}+\frac{3\sqrt{3} }{10}=\frac{4+3\sqrt{3} }{10}[/tex]
d)
Since [tex]sin(\alpha)=\frac{4}{5}[/tex]
then [tex]\alpha=arcsin(\frac{4}{5} )\approx 53.1^o[/tex]
When constructing parallel lines, how can you verify the lines constructed are parallel?t is being constructed based on the markings in the following diagram?
Answer:
You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.
Step-by-step explanation:
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
please help i dont understand it
30 POINTS
Answer:
0.16 P(Yellow or Brown)=0.16
Answer: 0.44
Step-by-step explanation:
0.4 + 0.28 = 0.68
1.00 - 0.68 = 0.32
0.32 divided by 2.0 = 0.16
Total answer is 0.44
GLAD TO HELP:)
HAVE A NICE DAY!
BTW: I WAS DOING A TEST, BUT TOOK MY TIME TO HELP YOU! :)
PLEASE BRAINLEST ME!
Find the volume of a cylinder that has the following dimensions. Do not round your answer.
(Use 3.14 for pi.)
Radius = 5 cm
Height = 0.25 m
Volume = __ cm3
Answer:
19.625 cm^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = 3.14 * 5^2 * .25
V =19.625 cm^2