Answer:
Inconsistent; No Solution
Step-by-step explanation:
I used a graphing tool to graph the equations. When graphed, the lines are parallel. The lines have the same slope but a different y-intercept. This means that there is no solution.
The system is inconsistent, and therefore has no solution.
PLEASE HELP!!!! FAST THANK YOU FOR YOUR HELP!!!
With steps please!
Answer:
The nearest whole number you need to round to is: $3,094.00
Step-by-step explanation:
If Ava deposited the $400.00, which is four-hundred dollars and zero cents each month for here monthly deposits each month, then she would have to have 3.35% compound which is three point thirty-five percent compound price times the number of her monthly deposit of four-hundred dollars and zero cents which is $400.00 she would get the result that $3,094.00 which is three-thousand, ninety-four dollars and zero cents, which is the answer because if you round it with $1,250.00 which is one-thousand, two-hundred and fifty dollars and zero cents then it doesn't work out. So in the end, it would be: $3,094.00!
Let ABCDEFGH be a cube.
a) How many different segments can you form by connecting the vertices of the cube?
b) How many different triangles can you form by connecting 3 of the vertices of the cube?
Answer:
a) 28
b) 56
Step-by-step explanation:
A cube is a three dimensional shape gotten from a square. It has 6 faces, and an equal line segment that form its sides.
A vertex is the edge of a figure.
In the given cube ABCDEFGH, since the vertices to be considered are not only the adjacent vertices, then;
a) By connecting the vertices of the cube, 28 different segments can be obtained.
b) The number of triangles that can be formed by connecting 3 of the vertices of the cube is 56.
Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.
Answer:
B
Step-by-step explanation:
If the public debt in 2006 was $6,783,231,062,743.62 and the budget
for 2007 was in deficit by $595,821,633,586.70, what was the public
debt in 2007? (Include commas.)
Answer:
677,727,284,640,775 ?
ASAP 25 POINTS NEED TO KNOW NOW PLEASE
Variable x is 7 more than variable y Variable x is also 1 less than y. Which of the following pairs of equations best models the relationship between x and y?
A:x= 11
X = y + 7
B:X= y + 7
X = y - 1
C:y = x + 8
y=x-1
D:y = 7x
y = x + 1
Answer:
x = y+7
x = y -1
Step-by-step explanation:
Variable x is 7 more than variable y
is means equals
x = y+7
Variable x is also 1 less than y
x = y -1
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Answer:
a(n) = 1(2.5)^(n - 1)
Step-by-step explanation:
The geometric sequence is 1, 2.5, 6.25, 15.625, and so on; the first term is 1. The common ratio is 2.5; each new term is 2.5 times the previous term.
The explicit formula desired is thus a(n) = 1(2.5)^(n - 1)
Answer:
ITS CCCCCCC (2.5)
Help me ASAP for this question Sean buys a binder for $12. If tax is 8%, what is the total cost of the binder?
$12.96 $13 $12.80 $12.08
Answer:
The cost of the binder is 12.96
Step-by-step explanation:
50 points Simplify the expression. sin^2 theta/csctheta tan^2theta a. sin^2 theta b.sin cos^2 theta c.sec^2 theta d. csc theta
Answer:
B. sin(theta) cos^2(theta)
Step-by-step explanation:
sin^2(theta) / csctheta tan^2(theta)
To solve, we convert to sine and cosine and then simplify.
means by the priority of operators (* and / from left to right)
(sin^2(theta) / csctheta) * tan^2(theta)
= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2
= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)
= sin^5(theta) / cos^2(theta)
which obviously does not correspond to any of the answers.
IF the expression were missing parentheses in the denominator, then it becomes:
sin^2(theta) / (csctheta tan^2(theta))
= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))
= sin^2(theta) / (sin(theta)/cos^2(theta)
= sin(theta) cos^2(theta)
which corresponds to answer B.
Answer:
[tex]\Large \boxed{\bold{B.} \ \mathrm{sin(\theta) \cdot cos^2(\theta) }}[/tex]
Step-by-step explanation:
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{ csc(\theta) \cdot tan^2(\theta)} }[/tex]
Simplify the expression.
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{1}{sin} (\theta) \cdot \frac{ sin^2(\theta)}{ cos^2(\theta)} } }[/tex]
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{sin^2 }{sin} (\theta) \cdot cos^2(\theta) } }[/tex]
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) \cdot cos^2(\theta) } }[/tex]
[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) } \cdot cos^2(\theta) }[/tex]
[tex]\displaystyle \mathrm{sin(\theta) \cdot cos^2(\theta) }[/tex]
30. Three apples plus twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are
in the basket?
(A) 8
(B) 18
c.28
d.38
Answer:
3 + 6 = 1/2(#grapes)
3 + 6 = 9
9 = 1/2(#grapes)
2(9) = 1(#grapes)
18 = # of grapes
Step-by-step explanation:
Which expressions are linear factors of the polynomial? Choose all that apply.
x3 + 2x2.5x-6
ox-2
O X+3
Ox-1
Ox+1
Answer:
The linear factors are:
[tex]x - 2[/tex]
[tex]x + 3[/tex]
[tex]x + 1[/tex]
Step-by-step explanation:
Given
[tex]x^3 + 2x^2 - 5x - 6[/tex]
Required
Select all linear factors of the polynomial
Solving for x - 2;
Equate x - 2 to 0 and solve for x
[tex]x - 2 = 0[/tex]
[tex]x = 2[/tex]
Substitute 2 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]
[tex]2^3 + 2(2^2) - 5(2) - 6[/tex]
[tex]= 8 + 8 - 10 - 6[/tex]
[tex]= 0[/tex]
Because, we arrived at 0, then x - 2 is a factor
Solving for x + 3;
Equate x + 3 to 0 and solve for x
[tex]x + 3 = 0[/tex]
[tex]x = -3[/tex]
Substitute -3 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]
[tex](-3)^3 + 2(-3^2) - 5(-3) - 6[/tex]
[tex]= -27 + 2(9) + 15 - 6[/tex]
[tex]= -27 + 18 + 15 - 6[/tex]
[tex]= 0[/tex]
Because, we arrived at 0, then x + 3 is a factor
Solving for x - 1;
Equate x - 1 to 0 and solve for x
[tex]x - 1 = 0[/tex]
[tex]x = 1[/tex]
Substitute 1 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]
[tex](1)^3 + 2(1^2) - 5(1) - 6[/tex]
[tex]= 1 + 2(1) - 5 - 6[/tex]
[tex]= 1 + 2 - 5 - 6[/tex]
[tex]= -8[/tex]
Because, we did not arrived at 0, then x - 1 is not a factor
Solving for x + 1;
Equate x + 1 to 0 and solve for x
[tex]x + 1 = 0[/tex]
[tex]x = -1[/tex]
Substitute -1 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]
[tex](-1)^3 + 2(-1^2) - 5(-1) - 6[/tex]
[tex]= -1 + 2(1) + 5 - 6[/tex]
[tex]= -1 + 2 + 5 - 6[/tex]
[tex]= 0[/tex]
Because, we arrived at 0, then x + 1 is a factor
What is the value of the expression
Answer:
6
Step-by-step explanation:
2(7)-(-4)/3
(14+4)/3
18/3
=6
If it's right can i get brainliest.
Answer:
D) 6
Step-by-step explanation:
Plug in the values of a & b
[tex]\frac{/2a/-b}{3}= \frac{/2*7/-[-4]}{3}\\\\=\frac{/14/ + 4}{3}\\\\=\frac{14+4}[3}\\\\=\frac{18}{3}\\\\=6[/tex]
The graph of the function P(x) = −0.74^2 + 22x + 75 is shown. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands: If the company wants to keep its profits at or above $175,000, then which constraint is reasonable for the model? −3.09 ≤ x ≤ 5.6 and 24.13 < x ≤ 32.82 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82 −3.09 ≤ x ≤ 32.82 5.6 ≤ x ≤ 24.13
Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function[tex]P(x) = -0.74^2 + 22x + 75[/tex] . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
The constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
What are functions?Functions are the connection between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
To keep the profits at or above $175,000, we need to solve the inequality P(x) ≥ 175. Let's substitute P(x) with its expression and solve for x:
P(x) = −0.74x² + 22x + 75
−0.74x² + 22x + 75 ≥ 175
−0.74x² + 22x − 100 ≥ 0
0.74x² − 22x + 100 ≤ 0 (dividing by -1 and changing the direction of the inequality)
Now we can solve this quadratic inequality by finding the zeros of the corresponding quadratic equation:
0.74x² − 22x + 100 = 0
Solving this equation, we get x = 5.6 and x = 24.13.
So, the solution to the inequality is 5.6 ≤ x ≤ 24.13.
Therefore, the constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
Learn more about function here:
brainly.com/question/21145944
#SPJ3
Rectangle has DEFG vertices D(-6, -5), E(-6,-2), F(-2,-2) and G(-2, -5). The figure is first translated 3 units up and then rotated 90 degree clockwise about the origin. What is the shape of the figure after this sequence of transformations?
Answer:
a rectangle
Step-by-step explanation:
Translation and rotation are rigid transformations. They do not change the shape or size. The figure is still a rectangle after these transformations.
What value, written as a decimal, should Lena use as the common ratio?
Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
Simplify the expression 5/9 + (-4/5)
Answer:
-11/45
Step-by-step explanation:
5/9 + (-4/5) =
= 5/9 * 5/5 - 4/5 * 9/9
= 25/45 - 36/45
= -11/45
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
Step-by-step explanation:
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
A(-8,-6) ; B(-3,-6)
[tex]AB= \sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\=\sqrt{(5)^{2}+ 0}\\\\= 5 units[/tex]
The function h is defined by h (x) = x^2 +5.
Find h (4a).
????
Answer:
16a^2+5
Step-by-step explanation:
5. You are constructing a railing to place on a ramp for your handicapped grandmother. You have been given a 12-ft rail and 5 posts to support the railing. The posts are equally spaced under the rail and the first and last posts are positioned at each end of the rail. The ramp rises at an angle of 12°. a. What part(s) will represent the transversal(s)? b. In order to make the posts parallel, what angles must they form with the transversal? c. What angle would they form with the ramp? d. Which angles would be alternate interior, alternate exterior, corresponding, and consecutive interior? Explain your reasoning. e. What do you know about each of these angles? f. How far apart will the posts be?
Answer:
a. The railing is transversal to the posts
b. In order to make the posts parallel, the angle between the posts and the transversal should be = 78°
c. The angle between the post and the ramp is 102° as we reach the post from the bottom and 102° and 78° immediately after the post
d. 1) Alternate interior angles = 78° and 102°
2) Alternate exterior angles = 102°
3) Corresponding angles = 78° and 102° depending on the side of from which we approach the post
4) Consecutive interior = 78° and 102° depending on the side of from which we approach the post
e. The interior angles are supplementary
f. Horizontal spacing between posts = 2.93 ft.
Spacing between posts along the length of the railing = 3 ft. spacing
Step-by-step explanation:
a. A transversal is a line crossing two or more parallel lines which are in a plane at different points
Therefore, the railing is transversal to the posts
b. Whereby the ramp rises at an angle of 12°, the railing, which is the transversal is therefore inclined at 12° to the horizontal and the posts which will be vertical erect will be at 90° to the horizontal
Therefore, in order to make the posts parallel, the angle between the posts and the transversal should be 90° - 12° = 78° for each post to railing.
c. The angle between the post and the ramp before the post as we ascend the ramp is therefore, 180 - 78 = 102° and 78° after the post
d. The alternate interior angles lie on the opposite sides of the transversal = 78° on one side and 102° on the other (Sum of angles on a straight line) which are the angles on the transversal
The alternate exterior angles lie on the exterior opposite sides of the transversal = 102°
Corresponding angles are the angles located in the corresponding positions on the transversal = 78° on one side and 102°as we cross the post (Sum of angles on a straight line)
Consecutive interior angles are the angles that are located on the same part of the transversal = 78° and 102° (Sum of consecutive interior angles of parallelogram = 180°
e. For the posts to be parallel, the consecutive interior angles should be supplementary or equal to 180°
f. Whereby we have a 12-ft rail inclined at 12°, we have;
Horizontal distance covered by the rail = 12 × cos(12) = 11.74 ft
Since we have 5 posts, there 4 equal spaces between them which gives
Spaces between posts = 11.74/4 = 2.93 ft. horizontally and 3 ft. spacing between each post along the railing.
What is the value of the expression
9r-5s+3 to the 3rd power if r=2/3 and s= -2
Answer:
43
Step-by-step explanation:
(9r-5s+3^3)
Let r = 2/3 and s = -2
(9 * 2/3-5* -2+3^3)
(6+ 10+27)
43
Answer:
[tex] \huge \boxed{43}[/tex]Step-by-step explanation:
[tex]9r - 5s + {3}^{3} [/tex]
plug the values
[tex] = 9 \times \frac{2}{3} - 5 \times ( - 2) + {3}^{3} [/tex]
Reduce the numbers with Greatest Common Factor 3
[tex] = 3 \times 2 - 5 \times ( - 2) + {3}^{3} [/tex]
Multiply the numbers
[tex] = 6 + 10 + 27[/tex]
Calculate the sum of positive numbers
[tex] = 43[/tex]
Hope I helped..
Best regards!
Find the product of all positive divisors of 288.
Answer:
1.363116466×10^22
Step-by-step explanation: Listing all the pairs of divisors: 1, 288; 2, 144; 3, 96; 4, 72; 6,48; 8,36; 9,32; 12, 24; 16, 18
There are 9 pairs, counting 288 itself and 1. Each pair of factors, aka divisors, will have a product of 288. So the product of those products can be expressed as 288^9
Entered into a scientific calculator, the result is
1.363116466×10^22
May I have Brainliest, please.
Total product of all positive divisors of 288 are 18.
To find the product of all positive divisors of 288.
What is factor?A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
The divisors/factors of 288 get multiplied together to make 288.
1 × 288, 2 ×144, 3 × 96, 4 × 72, 6 × 48, 8 × 36, 9 × 32, 12 × 24, 16 ×18
The pairs that make 288. So the divisors/factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16,18, 24, 32, 36, 48, 72, 96,144, 288.
So, the Total product of all positive divisors of 288 are 18.
Learn more about factor here:
https://brainly.com/question/17131591
#SPJ2
help plz i want help
Answer:
1/3
Step-by-step explanation:
There are 9 possible outcomes
We want the ones that have the same color which are GG , YY or BB
P ( same color) = number of same color outcomes / total outcomes
= 3/9
=1/3
Answer:
1/3
Step-by-step explanation:
3/9, simplify to 1/3
Inspired by election season, Evan decided to run for class president. He earned 80% of the votes in his class. If he earned 24 votes, how many students were in his class? ( with a explanation on how you got the answer)
Answer:
30 students (30 total voters)
Step-by-step explanation:
Let s represent the number of students in the class. Evan earned 80% of these votes, which came to 24 votes. Symbolically, we have:
24 votes
0.80s = 24 votes. Therefore, s = total number of voters = ---------------- = 30 voters 0.8
The total number of students (voters) in his class was 30.
Answer:
It is 30.
Step-by-step explanation:
what is 3^3/2 equal to?
Answer:
D. 2^3/2
Explanation:
3 3/2
= ²√3³
= ²√27
Hope this helped! :D
Answer:
The answer is D
Step-by-step explanation:
hope this helps ^_^
Can someone help with this please thanks!
Answer:
150 I believe but don't quote me on that
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:
250.72
Step-by-step explanation:
the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.
Answer:
175.4
Step-by-step explanation:
50+50=100
Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4
100+75.4= 175.4
Find the area of the trapezoid (Problem is highlighted in Pink)
Answer:
please mark my answer as the brainliest
Step-by-step explanation:
AREA = 1/2 * (b1+b2)h
A = 1/2 * (8+18)13.5
therefore area = 175.5cm^2
Answer:
Area = 1/2 * (B1+B2)hH
A = 1/2 * (8+18)13.5
Therefore the area = 175.5cm^2
if 2x+1/4 = 12/20 what is the value of x
Answer:
7/10 or 0.7
Step-by-step explanation:
cross multiply to get 40x+20=48
subtract 20 from both sides to get 40x=28
divide both sides by 40 to get 7/10
HOPE THIS HELPS!!!:)
Answer:
0.7 or 7/10
Step-by-step explanation:
Step 1: Cross-multiply.
2x+1 / 4 = 12 /20
(2x+1)*(20)=(12)*(4)
40x+20=48
Step 2: Subtract 20 from both sides.
40x+20−20=48−20
40x=28
Step 3: Divide both sides by 40.
40x /40 = 28 /40
x= 7 /10
Answer:
x= 7 /10
7/10 = 0.7
Write the following decimals as fractions.
Answer:
5a. 0.2823 = 2823/10000 5b. 0.5474 = 2737/5000
6a. 0.3484 = 871/2500 6b. 0.5 = 1/2
7a. 0.11 = 1/9 7b. 0.1224 = 153/1250
Select the fraction that is a recurring decimal. A 28/35 B 16/18 C 19/76 D 133/190 E30/48
Answer:
Step-by-step explanation:
B because 16 over 18 in decimal is .8 repeating
Hi dude....
Pls mark my ans as brainliest :)
Answer:
B. 16/18
Step-by-step explanation:
A 28/35 = 0.8
B 16/18 = 0.88888888888.....
C 19/76 = 0.25
D 133/190 = 0.7
E 30/48 = 0.625
Hope it helps.....
Pls mark my ans as brainliest
The solution set for 7q2 − 28 = 0 is
Answer:
2 and -2
Step-by-step explanation:
● 7q^2 -28 = 0
Add 28 to both sides
● 7q^2-28+28 = 28
● 7q^2 = 28
Divide both sides by 7
●7q^2/7 = 28/7
● q^2 = 4
You can write directly q= 2 or q= -2
To understand it use the absolute value.
● |q| = 2
● q = 2 or q = -2
The solutions are {2, -2}
