Answer:
x ≈ ± 0.85
Step-by-step explanation:
11x² = 8 ( divide both sides by 11 )
x² = \(\frac{8}{11}\) ( take the square root of both sides )
x = ± \(\sqrt{\frac{8}{11} }\) ≈ ± 0.85 ( to the nearest hundredth )
PLs help i really need it will give brainliest and thanks and 5 stars
Answer:
(5-2t)<-4
Step-by-step explanation:
The midnight temprature is 5 °C and the temprature is decreasing at the rate of 2°C per hour . If T is the hours past midnight then after t hours the temprature will be ( 5t-2t) . If the temprature is colder than -4°C right now , then your inequality can be written like 5t-2t<-4
just need some help.
The side length of BC in ∠ABC is 11.
How to find side length of triangle using angle?To find the side length of a triangle using angle, first determine the angle measurement of the triangle. Then, depending on the type of triangle, use a trigonometric ratio to find the side length. For example, if the triangle is an equilateral triangle, all three angles are equal and measured at 60 degrees. Using the sine function, the side length can be found by plugging in the angle and solving for the side length. The equation would look like sin(60)=x/side length, and when solved, the side length will be equal to the square root of 3. Alternatively, if the triangle is an isosceles triangle, two angles will be equal. To find the side length, use the cosine function and plug in the angle measurement. The equation would look like cos(angle)=x/side length, and when solved, the side length will be equal to the inverse cosine of the angle. Lastly, if the triangle is a right triangle, one of the angles is equal to 90 degrees. To find the side length, use the Pythagorean Theorem, which states that the sum of the squares of the two legs of the triangle will be equal to the square of the hypotenuse. The equation looks like side length1^2 + side length2^2 = hypotenuse^2. When solved, the side length can be determined by taking the square root of the hypotenuse. In conclusion, to find the side length of a triangle using angle, the type of triangle must be determined, then a trigonometric ratio or Pythagorean Theorem can be used to solve for the side length.Solution:
∠A = 32°
∠C = 39°
∠B = 180°-39°-42°
∠B = 99°
side length of AC = 16
a / sin A = b / sin B = c / sin C
a / sin42° = 16 / sin99°
a = 16 sin42°/ sin99°
a = 10.84
a = 11
The side length of BC = 11
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i need help with psrt A and part B and part c
Answer:
An isosceles triangle has sides of length xcm and 9cm.It perimeter is less than 24cm and x is a whole number.
find the lowest value of x
highest value of x
Answer:
I'll let you figure it out.
Step-by-step explanation:
A. First you separately take each of the two fractions and you multiply both sides to get the same denominator (bottom half of the fraction) for the two fractions, and then you combine the numerators (top half of the fraction) together while keeping the same denominator (simplify if needed). That's the fraction of students who don't walk home (answer for B). Then change the numerator to the (denominator - the numerator), and keep the same denominator, then simplify if needed (answer for C). This whole paragraph is the answer for A (but write it as your own words if you can).
Factor each expression that can be factored. For an expression that cannot be factored into a product of two binomials, explain why. x²+2 x+1 .
The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ x² + 2x + 1
Factorize the expression, then the factor of the expression will be
⇒ x² + x + x + 1
⇒ x(x + 1)x + 1(x + 1)
⇒ (x + 1)(x + 1)
⇒ (x + 1)²
The product of two binomials will be (x + 1) and (x + 1).
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how many times can 50 go into 250? Correct=brainliest
Answer:
50 can go into 250 (5 TIMES)
Step-by-step explanation:
Its very simple. Keep adding 50 untill you get 250
50+50+=100+50=150+50=200+50=250
PLS HELPP I NEED AN ANSWER ASAP ILL GIVE BEAINLIEST
The top right graph could show the arrow's height above the ground over time.
Which graph models the situation?The initial and the final height are both at eye level, which is the reference height, that is, a height of zero.
This means that the beginning and at the end of the graph, it is touching the x-axis, hence either the top right or bottom left graphs are correct.
The trajectory of the arrow is in the format of a concave down parabola, hitting it's maximum height and then coming back down to eye leve.
Hence the top right graph could show the arrow's height above the ground over time.
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How many triangles can be constructed with sides measuring 15 cm, 7 cm, and 5 cm?
The rule is
The sum of two sides of a triangle must be greater than the third side
Here
7+5=12<15Hence answer is 0 triangles
Answer:
NONE
hope this helped (i took the quiz)
Hello, I need some assistance with this homework question please for precalculusHW Q41
Find AB given A(-4, 1) and B(3, -1).
Answer:
d = \(\sqrt{53}\)
Step-by-step explanation:
STUDY
1. Simplify the expression below
5p + 14p
4(x - 2) + 6x
2. Evaluate
Answer:
(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.
Step-by-step explanation:
Answer:
5p + 14p= 19p
4 (x-2)+6x
4x-8+6x
10x-8
free bilirubin is transported by the blood to the liver. TRUE OR FALSE
True, free bilirubin is transported by the blood to the liver.
Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.
Bilirubin
Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.
Hemoglobin
Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.
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Bearing a to b is 280 what is bearing b to A
Answer:
please see photo attached for detailed analysis.
with a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b)
This is incomplete question
Complete question is this:
With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
Only use models that produce values of r = 1Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line Maximize the size of the residualsFind the best fit line that crosses the y- axis at x = 0Choose the correct option:
Now, According to the question:
Hence, The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b).
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Solve for p
1.5m+3p=18
please show steps
Answer:
Step-by-step explanation:
Answer: p= 6-0.5
solve 1.5m + 3p=18
p= 6-0.5m
Which of the following is true?
A. 3 gram > 3000 kilograms
B. 3000 grams = 3 kilograms
C. 300 grams > 30 kilograms
D .30 grams < 0.003 kilograms
Answer: B
Because 3 kilograms = 3,000 and 3,000 kilograms = 3,000 grams
Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
her phone that will measure an angle of elevation. She determined she was 100 feet from the base of the
building. She held her phone (with the app) at eye level (about 5 feet off the ground) and measured the angle
of elevation to the top of the building to be 82°. What is the height of the building to the nearest foot?
Answer:
The height of the bullding is 717 ft
Step-by-step explanation:
Right Triangles
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:
\(\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}\)
The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:
\(\displaystyle \tan 82^\circ=\frac{h}{100}\)
Solving for h:
\(h = 100\tan 82^\circ\)
Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
please can someone answer part B of this question with explanation
The required compound interest is 4% which is paid per year.
Given that,
An expression of compound interest problem is given V = 1750 * 1.04ˣ, we have to determine the compounded interest rate.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
An expression of compound interest problem is given V = 1750 * 1.04ˣ,
where 1.04 represents 1 + r
So,
1 + r/100 = 1.04
r = 0.04 * 100
r= 4%
Thus, the required compound interest is 4% which is paid per year.
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Does anybody know how to does this pleaseee helppppp. The first 2 my teacher did them for me but I’m still confused pleaseee helpppp
Answer:
below
Step-by-step explanation:
A triangle can only be a triangle if the two shortest sides add up to be greater than the longest side.
For example on the first one, the segments 1 2 and 3 will not make a triangle as 1 + 2 = 3 and if the two smallest sides of a triangle are equal to the longest side it will not be a triangle at all.
So to make this easy, out of the three numbers given: add the two smallest numbers. This number has to be greater than the third number given, and it cannot be equal.
For question three: 3+9 = 12
And 12 is greater than 11, therefore this can make a triangle.
en una clase, la mitad de los estudiantes juegan futbol, un tercio baloncesto. Si 4 personas juegan tennis, ¿Cuántas personas hay en la clase?
Answer:
I dont speak Spanish, sorry
im cant figure out how to do this one ((-3)^2)^-3
Answer:
\(\dfrac{1}{729}\)
Step-by-step explanation:
\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)
First, we should evaluate inside the large parentheses:
\((-3)^2 = (-3)\cdot (-3) = 9\)
We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,
\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)
↑1 ↑2 ↑3 times because the exponent is 3
Next, we can put the value 9 into where \((-3)^2\) was originally:
\((9)^{-3}\)
We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,
\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)
Finally, we can apply this principle to the \(9^{-3}\):
\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)
100 POINTS !!! Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11. x = 2; (2, −13) x = 4; (4, 11) x = −2; (−2, 83) x = −4; (−4, −11)
Let's see
\(\\ \rm\rightarrowtail y=6x^2-25x+11\)
Graph attached
vertex(-2,-13)Axis of symmetry
x=-2Answer:
axis of symmetry: x = 2
vertex: (-2, 13)
Step-by-step explanation:
Given function
\(\sf y=6x^2-24x+11\)
Vertex form
\(\sf y=a(x-h)^2+k\)
where (h, k) is the vertex
Expand vertex form:
\(\sf \implies y=ax^2-2ahx+ah^2+k\)
Compare coefficients of expanded vertex form with given function:
coefficient of \(\sf x^2\):
⇒ a = 6
coefficient of \(\sf x\):
⇒ -2ah = -24
⇒ ah = 12
⇒ 6h = 12
⇒ h = 2
constant:
⇒ \(\sf ah^2+k=11\)
⇒ \(\sf 6 \cdot 2^2+k=11\)
⇒ \(\sf 24+k=11\)
⇒ \(\sf k=-13\)
Vertex
Vertex = (2, -13)
Axis of symmetry
Axis of symmetry is when x = h
Therefore, axis of symmetry is x = 2
in this problem, you will investigate special right triangles.
c. verbal make a conjecture about the ratio of the hypotenuse to a leg of an isosceles right triangle.
In an isosceles right triangle, the equal sides make the right angle. They have the ratio of equality, 1 : 1. To find the ratio number of the hypotenuse h, we have, according to the Pythagorean theorem, h2 = 12 + 12 = 2
The triangle is an Isosceles triangle.
We need to find the angles across from the legs are called what angles?
An isosceles triangle is a triangle which has two congruent sides.
The congruent sides of the isosceles triangle are called the legs.
The other side is called the base.
The angles between the base and the legs are called base angles.
The angle made by the two legs is called the vertex angle.
One of the important properties of isosceles triangles is that their base angles are always congruent. This is called the Base Angles Theorem.
Hence in an isosceles triangle with two congruent sides the angles across from the legs are called as Base angles.
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One positive number exceeds another by 7, and their product is 78. Find the numbers.
Answer:
13 and 6
Step-by-step explanation:
13 • 6 = 7813 – 6 = 7What is the equation for 2.91 x 0.5
Answer:
isnt that the equation? If your looking for the answer to that it's 2.91 x 0.5 = 1.455
Step-by-step explanation:
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an article bought for $125 was sold for $175 the profit as a percentage of the cost price was
Answer:
40%
Step-by-step explanation:
Step 1: 175-125-50
Step 2: 50/125=0.4=40%
Answer:
40% profit
Step by step explanation:
There is a profit of $50.
If you were to find the percentage, you would divide 50 by 125. This would give you 0.4
A newspaper in Germany reported that the more semesters needed to complete an academic program at the university, the greater the starting salary in the first year of a job. The report was based on a study that used a random sample of 24 people who had recently completed an academic program. Information was collected on the number of semesters each person in the sample needed to complete the program and the starting salary, in thousands of euros, for the first year of a job. The data are shown in the scatterplot below. 70 65 60 55 Starting Salary (1.000 euros) 50 45 35 30 25 5 10 15 20 Number of Semesters (a) Does the scatterplot support the newspaper report about number of semesters and starting salary? Justify your answer. b) The coefficient of determination is 0.335. Interpret this value in the context of this problem. c) Determine the value of the correlation coefficient. Interpret this value in the context of this problem.
a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.
b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.
c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.
The Correlation Coefficienta) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.
b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.
c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.
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A group of 75 math students were asked whether they
like algebra and whether they like geometry. A total of
45 students like algebra, 53 like geometry, and 6 do
not like either subject.
Algebra vs. Geometry
Likes Algebra
Does Not
Like Algebra
Total
Likes
Geometry
Mark this and return
a
3
53
Does Not
Like Geometry
b
6
e
Total
45
P
75
What are the correct values of a, b, c, d, and e?
a 16, b = 29, c = 22, d = 30, e = 24
a = 29, b = 16, c = 30, d = 22, e = 24
a 16, b = 29, c = 24, d = 22, e = 30
H
a = 29, b = 16, c = 24, d = 30, e = 22
The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.
For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:
We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.
75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)
Simplifying this equation, we have:
75 = 98 + 6
75 = 104
This equation is incorrect, so we can eliminate options c and d.
Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.
Using the correct values for a and b, we have:
16 + b = 6
b = 6 - 16
b = -10
Since we can't have a negative value for the number of students, option a is also incorrect.
The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.
Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)
Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)
Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)
Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)
All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.
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Vertically polarized light with intensity I=100 W/m 2
passes through two polarizers. The first polarizer is at the angle θ 1
=30 ∘
with respect to vertical and the second polarizer is at the angle θ 2
=60 ∘
with respect to the vertical. a. What is the polarization of the output (transmitted) light? b. What is the intensity of the output (transmitted) light?
The angle between the first and second polarizers is 90°, which means that the output light will be horizontally polarized and the intensity of the output light is 18.75 W/m².
The output (transmitted) light is linearly polarized along the direction determined by the angle between the two polarizers. The intensity of the output light can be determined using Malus's law, which states that the intensity of light transmitted through a polarizer is proportional to the square of the cosine of the angle between the polarization direction of the incident light and the transmission axis of the polarizer.
θ₁ = 30°
θ₂ = 60°
The angle between the first and second polarizers is 30° + 60° = 90°.
Therefore, the output light will be horizontally polarized.
Let's denote the intensity of the incident light as I₀.
The first polarizer at an angle of 30° with respect to the vertical will transmit light with an intensity of I₁ = I₀× cos²(30°) = I₀× (3/4).
The second polarizer at an angle of 60° with respect to the vertical will transmit light with an intensity of I₂ = I₁ × cos²(60°) = I₁ × (1/4) = I₀ × (3/16).
Therefore, the intensity of the output light is I₂ = I₀ × (3/16), which is 3/16 times the intensity of the incident light.
In this case, since the incident intensity is given as I = 100 W/m², the intensity of the output light will be I₂ = (3/16) × 100 W/m² = 18.75 W/m².
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The bottom end of a ramp at a warehouse is 10 feet from the base of the main dock and is 11 feet long.
How high is the
dock? Show your calculations
Answer:
The dock is \(4.58\) \(ft\) high
Step-by-step explanation:
we know that
Applying the Pythagoras theorem
Let
x------> the height of the dock
\(11^2=x^2+10^2\)
Solve for x
\(x^2=11^2-10^2\)
\(x^2=121-100\)
\(x^2=21\)
\(x=\sqrt{21}\) \(ft\)
\(x=4.58\) \(ft\)
how many sides does a regular polygon have if each of its interior angle measures 120 degree
Answer:
6 sides
Step-by-step explanation:
If in a regular polygon, each interior angle = 120 deg, then each exterior angle = 180–120 = 60 deg. So the polygon has 360 deg/60 deg = 6 sides. The figure is a regular hexagon.