Answer:
C
Step-by-step explanation:
\(-15x+60\leq 105 \\ \\ -15x \leq 45 \\ \\ x \geq -3\)
\(14x+11 \leq -31 \\ \\ 14x \leq -42 \\ \\ x \leq -3\)
The intersection is x = 3.
9.
Find the area of the triangle.
6ft
9ft
Area =
ft?
Enter the answer
Answer:
Area= 24ft squared
Step-by-step explanation:
Area= 1/2 Bh
A= 1/2 9(6)
A= 1/2 48
A= 24ft
list the factor pairs of the number 28
The multiple of 28 are;
\(\begin{gathered} 1\times28 \\ 2\times14 \\ 4\times7 \end{gathered}\)Thus, the factor pairs are;
\((1,28),(2,14),(4,7)\)Dr.Marks is studying 3 blacktop sharks and 4 tiger sharks. What is the total lenght of the 7 Sharks show your stategty
I'm not sure,, is there a paper or written length of the sharks,, or is it going off of searching it on the internet?
You haven't given the length of each shark so we can't really calculate the total length of the 7 sharks but I'll just give a strategy to find it.
let \(x\) be the length of the blacktop sharks and let \(y\) be the length of the tiger sharks. In order to figure out their total length, you can use this formula:
\(3x\ +\ 4y\ =total\ length\ of\ sharks\)
David works as a salesman and earns a basic salary of Rs 16 000 per month plus 8 % commission on his sales. If his total sales were rs 55 000 during last month, find his earnings for that month.
Answer:
$20400
Step-by-step explanation:
8 percent *55000 =
(8:100)*55000 =
(8*55000):100 =
440000:100 = $4400
16000+4400 =$20400
6.2.5 What do Similar shapes tell us?
The values of the missing sides of the similar shapes are:
x = 7
y = 10
z = 20
How to Find the Side Lengths of Similar Shapes?Similar shapes have side lengths whose ratios are the same, or have proportional side lengths.
Use the following ratios to find the missing lengths of the two similar shapes in the given diagram:
35/14 = 17.5/x
Cross multiply
(35)(x) = (17.5)(14)
35x = 245
Divide both sides by 35
35x/35 = 245/35
x = 7
35/14 = 25/y
Cross multiply
(35)(y) = (25)(14)
35y = 350
35y/35 = 350/35
y = 10
35/14 = z/8
(35)(8) = 14z
280 = 14z
z = 280/14
z = 20
Therefore, the values of the missing sides of the similar shapes are:
x = 7
y = 10
z = 20
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A cylinder has a radius of 15 millimeters and a height of 17 millimeters.
What is the approximate volume of the cylinder?
O 3,004 cubic millimeters
O 3,405 cubic millimeters
O 12,017 cubic millimeters
O 13,619 cubic millimeters
Answer:
O 12,017 cubic millimeters
Step-by-step explanation:
Volume of cylinder = height x cross-section area(in this question, it's a circle) = hpr^2
17ml x (15ml)^2 x p(ill calculate it in calculator, not as 3.14)
= (approximately) 12017ml^3
Suppose that, in an alternate universe, the possible values of m
l
are the integer values including 0 ranging from −l−1 to l+1 (instead of simply −l to +l ). How many orbitals would exist in each of the following subshells? A. p subshell B. d subshell Which atomic orbitals have values of n=3 and I=1 ?
A. In the alternate universe, the p subshell would have 5 orbitals.
B. In the alternate universe, the d subshell would have 10 orbitals.
In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.
A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).
B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).
Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.
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What is the volume of the rectangular prism?
Answer:
V=1837.5
Step-by-step explanation:
use the equation V= lwh
battery lifetime is normally distributed for large samples. the mean lifetime is 500 days and the standard deviation is 61 days. approximately what percent of batteries have lifetimes more than 561 days ?
15.87 % percent of batteries have lifetimes more than 561 days.
Given:
battery lifetime is normally distributed for large samples. the mean lifetime is 500 days and the standard deviation is 61 days.
μ = 500
σ = 61
we know that
z = X - μ / σ
z score :
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
Given X = 561 days
substitute
z = 561 - 500 / 61
= 61 / 61
z = 1
At z = 1 p value is 0.8413
1 - 0.8413 = 0.1587
= 0.1587 * 100 %
= 15.87 %
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3x+2+3x+4=5x+9
Solve for x
Answer:
4
Step-by-step explanation:
\(3x+2+3x+3=5x+9 \\ \\ 6x+5=5x+9 \\ \\ x=4\)
Step-by-step explanation:
\(x = \frac{4}{3} \)
\(1. \: 6x + 6 = 5 + 9 \\ 2. \: 6x + 6 = 14 \\ 3. \: 6x = 14 - 6 \\ 4. \: 6x = 8 \\ 5. \: x = \frac{8}{6} \\ 6. \: x = \frac{4}{3} \)
Please help me please help please
Who was Homer and why was he important to education after the collapse of Mycenaean civilization?
a. Homer was the king of Mycenae who was responsible for conquering Troy His written plays provided the basis for education during the Dark Age because they offered advice on militaristic training of young men
b. Homer was a poet who made use of oral tradition to compose the Iliad and the Odyssey, stories of the Trojan war and its aftermath that were important later Greeks as a means of teaching the aristocratic values of honor and courage
c. Homer was a slave taken captive by Sparta His death at the hands of the Spartiate’s led to a slave uprising led by Spartacus
d. Homer was a Roman general who persecuted Jews during the time of Jesus His actions, which led to the collapse of Mycenae, were used to warn against prejudice
B. Homer was a poet who made use of oral tradition to compose the Iliad and the Odyssey, stories of the Trojan war and its aftermath that were important later Greeks as a means of teaching the aristocratic values of honor and courage.
Homer was significant to education after the collapse of the Mycenaean civilization as he authored the Iliad and Odyssey which became an important source of education for the Greeks in later years.
They were taught to the aristocratic Greeks who learned from the values of honor and courage portrayed in the stories. The poems of Homer were recited and taught for years in the form of an oral tradition by bards until they were written down.
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What value of c will complete the square in the expression below to make it a perfect
square trinomial?
x² + 8x + c
Answer:
c = 16
Step-by-step explanation:
We have (a + b)² = a² + 2ab + b²
x² + 8x + c is of the form a² + 2ab + b²
where x² = a²
8x = 2ab
and c = b²
⇒ x² + 8x + c = (x + √c)² which is a perfect square
x² = a² ⇒ x = a
8x = 2ab
⇒ 8x = 2xb
⇒ b = 8x/(2x)
⇒ b = 4
c = b²
⇒ c = 4²
⇒ c = 16
(x + √c)² = (x + √16)²
= (x + 4)²
= x² + 2(x)(4) + 4²
= x² + 8x + 16
Therefore, c = 16 makes the expression a perfect square
Given the figure below with mBFA = 166 and mBD = 88, what is m
Applying the inscribed angle theorem, the measure of ∠BDA is: A. 83°.
What is the Inscribed Angle Theorem?When an angle is inscribed in a circle, the measure of the angle equals half the measure of the intercepted arc, according to the inscribed angle theorem.
Given the following:
m(BFA) = 166° [intercepted arc]m∠BDA = ? [inscribed angle]Applying the inscribed angle theorem, we have:
m∠BDA = 1/2(166)
m∠BDA = 83°
Thus, applying the inscribed angle theorem, the measure of ∠BDA is: 83°.
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The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the fraction becomes 1/2. What is the original fraction?
Answer:
The original fraction is \(\frac{2}{5}\)
Step-by-step explanation:
Let the numerator by X
Denominator is three more than its numerator i.e X +3
When both the numerator and denominator are increased by one the fraction becomes 1/2
\(\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2\)
Thus, numerator = 2
Denominator = X +3 = 2+3 = 5
The original fraction is \(\frac{2}{5}\)
Two radar A and B are 80km apart and B is due to the east of A. One aircraft is on a bearing of 030 degrees from A and 346 degrees from B. A second aircraft is on a bearing 325 degrees from A and 293 degrees from B. How far apart are the two aircraft
The two aircraft are 128.535 far away.
What is the distance formula?
The d-distance between two places is calculated using the distance formula. The Euclidean distance formula is another name for the formula used to calculate the separation between two points on a two-dimensional plane.
Here, we have
Given: Two radars A and B are 80km apart and B is due to the east of A. One aircraft is on a bearing of 030 degrees from A and 346 degrees from B. A second aircraft is on a bearing 325 degrees from A and 293 degrees from B.
Calculating the Slope of AC, tan60° = 1.732
Calculating the Slope of BC, tan104° = -4.011
Calculating the Slope of AD, tan125° = -1.482
Calculating the Slope of BD, tan157° = -0.424
When pointing C intercepts:
y₁ = 1.732x₁....(1)
y₁ = -4.011(x₁-80)....(2)
Solving equation(1) and(2) , we get
x₁ = 55.873
y₁ = 96.772
When point D intercepts:
y₂ = -1.428x₂....(3)
y₂ = 0.424(x₂-80)....(4)
Solving equations (3) and (4), we get
x₂ = 18.315
y₂ = -26.154
Calculating distance by applying the distance formula:
D = \(\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)
D = \(\sqrt{(-26.154-96.772)^2+(18.315-55.873)^2}\)
D = \(\sqrt{4986.9019+1410.6033}\)
D = 128.535
Hence, the two aircraft are 128.535 far away.
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25x54=
\every one knows this
Answer:
1350
Step-by-step explanation:
A triangle has area 100 square inches. It's dilated by a factor of k = 0.25.
1) The statement of Lin is correct.
2) (a) When scale factor, k = 9, area of the new triangle = 8100 square inches
(b) When k = 3/4, area of the new triangle = 56.25 square inches.
Given that,
A triangle has area 100 square inches.
It's dilated by a factor of k = 0.25.
When the triangle is dilated by a scale factor of k, then, each of the base and height is dilated by the scale factor of k.
So new area of the triangle after the dilation with the original triangle having base = b and height = h is,
Area of new triangle = 1/2 (kb)(kh) = k² (1/2 bh) = k² × Area of original triangle
Here original area = 100 square inches.
k = 0.25
New area = (0.25)² 100 = 6.25 square inches
So the correct statement is that of Lin.
Mai may found the new area by just multiplying the scale factor with 100, instead of taking the square of the scale factor. That is why she got 25 square inches as the new area.
2) (a) When k = 9,
Area of the new triangle = 9² (100) = 8100 square inches
(b) When k = 3/4
Area of the new triangle = (3/4)² (100) = 56.25 square inches
Hence the areas are found.
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Find the value of this expression if x = -9.
x² + 1 / x+ 7
hi
x² + 1 / x+ 7
with x = -9
A = ((-9)² +1 ) / ((-9) +7 )
A = ( 81 +1) / -2
A = 82 / -2
A = - 82/2
A = -41
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
10
+
115
p
=
305
10 + 115 p = 305
10
p
+
305
=
115
10 p + 305 = 115
115
+
10
p
=
305
115 + 10 p = 305
115
⋅
10
p
=
305
115 · 10 p = 305
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
10
+
115
p
=
305
10 + 115 p = 305
10
p
+
305
=
115
10 p + 305 = 115
115
+
10
p
=
305
115 + 10 p = 305
115
⋅
10
p
=
305
115 · 10 p = 305
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
Answer: 19 days
Step-by-step explanation:
Answer:
115 + 10x = 305
x = 19
It will take her 19 days to finish.
Can someone Please help me on this question!?
B. \( |2x + 1| + 1\)
Step-by-step explanation:\(( |2x + 1| + 3) - 2\)
\( |2x + 1| + 3 - 2\)
\( |2x + 1| + (3 - 2)\)
\( = |2x + 1| + 1\)
find the percent of decrease from $15.50 to $10.75
Answer:
30.6452% decrease.
Step-by-step explanation:
\(\frac{10.75}{15.50} =69.354\)%
100-69.354 ≈ 30.6452%
The Lagrangian function is set as the objective function minus lambda (λ) multiplied by the constraint, where the constraint is set equal to zero. The Lagrangian function used to maximize utility can be written as L=u(x,y)−λ(p
x
x+p
y
y−m), where x and y are goods, p
x
and p
y
are the prices of goodx and y, respectively, and m is income. 1st attempt 0 See Hint Will has a Cobb-Douglas utility function, xy
4
. His income is $118, the price of x is $12, and the price of y is $11. The Lagrangian for maximizing Will's utility subject to his budget constraint is Choose one: A. L=xy
4
−λ(12x+11y−118). B. L=12x+11y−118−λ(xy
4
). C. L=xy
4
−12x+11y−118. D. L=xy
4
−λ(12x+11y).
The Lagrangian for maximizing Will's utility subject to his budget constraint can be written as the correct answer is A. L = xy^4 - λ(12x + 11y - 118).
The Lagrangian for maximizing Will's utility subject to his budget constraint can be written as
L = xy^4 - λ(p_x*x + p_y*y - m),
where x and y are goods, p_x and p_y are the prices of goods x and y respectively, and m is income.
In this case, Will has a Cobb-Douglas utility function, xy^4. His income is $118, the price of x is $12, and the price of y is $11.
To find the Lagrangian for maximizing Will's utility, we substitute the values into the equation:
L = xy^4 - λ(12x + 11y - 118).
Therefore, the correct answer is A. L = xy^4 - λ(12x + 11y - 118).
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arrange the following elements according to the increasing atomic size
Ai, P, Si, Mg
hotel pool a hotel owner is trying to calculate how many square feet of fabric he will need to make a pool covering for winter. if the pool is in the shape of a regular hexagon with a side-to-side length of 30 feet, how many square feet of fabric will the owner need to construct the cover? round to the nearest square foot.
The hotel owner needs approximately 2,248 square feet of fabric to make a pool covering for the winter for their regular hexagonal pool with a side-to-side length of 30 feet.
To calculate the area of the pool, we first need to find the apothem (the distance from the center of the hexagon to the midpoint of any side). For a regular hexagon, the apothem is equal to the side length times the square root of 3 divided by 2. So, the apothem of this hexagonal pool is:
apothem = 30 × √3/2 = 25.980762
The area of a regular hexagon is given by the formula:
area = 3 × √3/2 × apothem^2
Substituting the value of the apothem, we get:
area = 3 × √3/2 × 25.980762^2 = 2247.72
Rounding this to the nearest square foot, the hotel owner will need approximately 2,248 square feet of fabric to construct the cover for the pool.
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in a standard deck of cards, what is the probability that you would draw an ace
Answer:
Step-by-step explanation:
Since there are four aces and 52 total cards.
P(A)=4/52=1/13
Answer:
The probability that you would draw an ace in a deck of cards would be 8%
Which of the following is equivalent to x2 + (x - 7) - (4x + 3)?
A 4x3 - 4
B x2 - 4x - 10
C x2 - 3x - 4
D x2 - 3x - 10
Please help!
Answer:
D. x^2 -3x-10
Step-by-step explanation:
Alex surveyed twenty boys from his class. He asked their height in centimeters and their shoe size. Alex wanted to know if these two variables were related. He graphed the results on the coordinate plane. Each graph below shows Alex’s data.
Which of the graphs shows the best linear fit for the data?
The graph that has a linear fit that is best for the data that Alex collected is the graph attached.
Which graph shows the data best?A linear fit that would be best for Alex's data is one that tries to get an equal number of shoe sizes on both sides of the line.
The shoe sizes should also be a roughly equal distance to the line and the line should be drawn in the middle of the data. The line that does this best is shown attached.
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35 POINTS
Find the range of this quadratic function
Answer:
The range of this quadratic function is
-infinity < y ≤ 2.
please help me solve this
Answer:
∠ F ≈ 24.2°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan F = \(\frac{opposite}{adjacent}\) = \(\frac{GH}{FG}\) = \(\frac{9}{20}\) , then
F = \(tan^{-1}\) ( \(\frac{9}{20}\) ) ≈ 24.2° ( to the nearest tenth )