Answer:
10
Step-by-step explanation:
We can show this as:
√90 = √9*10Since
9*9 < 9*10 < 10*10Then
9 < √90 < 10The closest number in the list is 10 as all the rest are greater than 10
Second choice is the correct one
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
\(\sqrt{90}\)
\(= \sqrt{10}\) (Decimal: 9.486833)
( I don't know it might be wrong )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Which type of function is shown in the table below?
Answer:
Quadratic
Step-by-step explanation:
Not adding or multiplying
x/12 -4=32 ''solve''
Answer:
x= 432
Step-by-step explanation:
x/12 - 4 = 32
+ 4 + 4
x/12 = 36
(12)x = 36(12)
x = 432
Out of 50 people surveyed:
30 have a brother
25 have a sister
6 have neither a brother or sister
Complete the Venn diagram.
Steps please. Thank you.
2 1/3 divided by 4/5
Answer: 2.91666666667
Answer:
(2 1/3) : (4/5) = 35 /12 = 2 11 /12
1. You convert the mixed number (2 1/3) into an improper fraction which is 7/3.
2.Then you find a new numerator so you multiply the whole number (2) by the denominator (3) which is 6.
3 Add the answer (6) to the starting numerator (1). The new numerator equation: 6+1=7.
4.Write the new numerator (7) over the denominator (3)
Two and one seven third is seven thirds.
5. Then you divide: 7/3 : 4/5 = 7/3 * 5/4 = 7*5/ 3*4
6. Multiply (7 and 5) and (3 and 4) which gives you 35/12.
7.Then you transform it back into a mixed number by dividing 35/12 which gives you 2 11/12.
Point F is reflected over the y-axis to create F’. Use an ordered pair to name the location of F’, and determine the
distance between F and F’
DONT ANSWER UNLESS YOU KNOW IT!!!!! IM SCREWED IF I DONT GET THIS!!!! Also this is NOT a multiple choice it is a WRITING question don’t write a book but a few sentences. Thank you friends
Answer:
Reflection about the y-axis is according to the rule
(x,y)->(-x,y)
Therefore F(x,y) -> F'(-x,y)
The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.
classify the quadric surface. 16x2 − y2 + 16z2 = 4
The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.
To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.
The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.
Considering these characteristics, the given equation represents an elliptic paraboloid.
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Which phrase describes an unknown or changeable quantity?
A. 2 times the number of pages in the book
B. 60 seconds multiplied by 5
C. 3 dollars and 76 cents
D. 15 years of schooling
Which statement is true?a. All trapezoids are kites.b. All quadrilaterals are squares.c. All rectangles are quadrilaterals.d. All kites are parallelograms.e. All rectangles are squares.
In this case the answer is very simple.
We must analyze all the statements to find the correct one.
Therefore, the correct statement would be:
c. All rectangles are quadrilaterals.
That is the solution.
13. The emf result at the junction of a thermocouple is given by the equation e=0.4T−e T−100. The thermocouple is then calibrated using a standard thermometer. When the standard thermometer reads 50∘C, what is the reading of the thermocouple?
O a. 50.09
O b. 50.11
O c. 50.13
O d. 50.15
The standard thermometer reads 50°C, the reading of the thermocouple is 0.3922.
To find the reading of the thermocouple when the standard thermometer reads 50°C substitute T = 50 into the equation e = 0.4T - e(T - 100). Let's calculate it:
e = 0.4(50) - e(50 - 100)
e = 20 - e(-50)
e = 20 + 50e
to solve this equation for e. Let's rearrange it:
50e + e = 20
51e = 20
e = 20/51 ≈ 0.3922
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A telephone number is a 10-digit number that cannot start with 1 or 0. How many of the possible numbers are even?
Answer:
B is the correct awnser
Solve the equation y"" 1 cos²x + 1 sin² X
The differential equation y'' + 1 = 0 has the general solution y(x) = C₁x + C₂, where C₁ and C₂ are arbitrary constants.
The given equation y'' + (1 cos²x + 1 sin²x) = 0 can be simplified by using the trigonometric identity cos²x + sin²x = 1. Therefore, the equation simplifies to y'' + 1 = 0. The differential equation y'' + 1 = 0 is a second-order linear homogeneous differential equation with a constant coefficient. The characteristic equation associated with this differential equation is r² + 1 = 0. Solving this equation, we find two complex roots: r₁ = i and r₂ = -i. The general solution to the differential equation is y(x) = C₁e^(ix) + C₂e^(-ix), where C₁ and C₂ are arbitrary constants. By using Euler's formula e^(ix) = cos(x) + isin(x), we can rewrite the general solution as y(x) = C₁(cos(x) + isin(x)) + C₂(cos(x) - isin(x)). Simplifying this expression, we obtain y(x) = (C₁ + C₂)cos(x) + (C₁ - C₂)isin(x).
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FILL IN THE BLANK. If f(x) = 3x² – 2x + 4, find f'(1) = ______Use this to find the equation of the tangent line to the parabola y 3x² - 2x + 4 at the point (1,5). The equation of this tangent line can be written in the form y = mx + b where m is: _______ and where b is: ______
The equation of the tangent line to the parabola y = 3x² - 2x + 4 at the point (1,5) can be written in the form y = mx + b where m is 4 and where b is 1.
If f(x) = 3x² – 2x + 4, then f'(x) = 6x - 2.
To find f'(1), we plug in x = 1: f'(1) = 6(1) - 2 = 4.
The point (1,5) is on the parabola y = 3x² - 2x + 4.
The slope of the tangent line to the parabola at the point (1,5) is f'(1) = 4.
Using the point-slope form of a line, we can write the equation of the tangent line as:
y - 5 = 4(x - 1)
Simplifying this equation gives us:
y = 4x + 1
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Write and evaluate the expression. Then, complete the
statements.
Miguel gave away five of the puppies.
Evaluate when p = 7.
Answer:
Step-by-step explanation:
Answer:First, write the expression
✔ p – 5
.
Second,
✔ substitute
7 in for the variable, p.
Third,
✔ simplify
by
✔ subtracting
7 and 5.
The answer is
✔ 2
Step-by-step explanation:
Determine the slope of the line from the graph.
-1
6
2
Answer:
-1
Step-by-step explanation:
the line is going down, and the dots are all only one interval away- hope this helps :)
I need to find the measure and of |_6
Answer:
Complimentary angles sum to 90°
Angle5 + Angle 6 = 90°
13° + Angle 6 = 90°
Angle 6 = 77°
Step-by-step explanation:
Michelle filled 20 flower pots each with 3 cups of soil. Some of the pots, p, each lost 2 cups of soil when the wind knocked them over. Now, there are only 36 cups of soil left in the pots. Which equation represents this situation?
The equation representing the situation is 20(3 cups) - p(2 cups) = 36 cups, where p represents the number of pots knocked over.
The initial amount of soil in the pots is given by 20 pots multiplied by 3 cups per pot, which gives 20(3 cups). The number of pots knocked over is represented by p, and each knocked-over pot loses 2 cups of soil.
Therefore, the total soil lost due to knocked-over pots is p(2 cups). Subtracting this from the initial amount of soil, we get 20(3 cups) - p(2 cups). The result should be equal to the remaining soil, which is 36 cups. Hence, the equation representing this situation is 20(3 cups) - p(2 cups) = 36 cups. This equation relates the number of pots knocked over (p) to the remaining soil (36 cups).
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the question is:Lin's dad bought a tablet. He pays the same amount each month for a subscription to a movie streaming service. The graph represents how much money he has spent, y, for the tablet and x months for the service. the slope of the line is 10.
The equation of a line is y=mx+b
m is the slope
b is the y intercept
Looking at the graph, the y intercept is 10 because the line crosses the y-axis at 10
Since they said the slope is 10, the equation of the line is:
y=10x+10
Maggie is creating a cushion for a circular stool. The stool has a diameter of 14 inches. If she needs fabric to extend 2 inches all the way around the cushion, how much fabric will she need?
Answer:
396 in.^2
Step-by-step explanation:
The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.
We need to find the surface area of the cylinder.
diameter = 14 in.
radius = diameter/2 = 7 in.
height = 2 in.
A = 2(pi)r^2 + 2(pi)rh
A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)
A = 395.84 in.^2
A = 396 in.^2
The amount of fabric that Maggie will need for manufacturing the cushion is 395.84 sq. inches.
What is the surface area of a cylinder?Supposing that a considered cylinder has radius of 'r' units and height 'h' units, then the surface area of that cylinder would be:
\(S = \pi r^2 + \pi r^2 + 2\pi r h = 2\pi r(r + h) \: \rm unit^2\)
The table's diameter is of 14 inches. That means, its radius is of 14/2 = 7 inches.
The cushion is going to have 2 inches extra from all sides, so approximately, it is going to be like a cylinder with radius 7 inches and height 2 inches.
The fabric needed for making cushion (from outer side only) in terms of area is same as the surface area of cylinder with radius of 7 inches and height of 2 inches.
Thus, the amount of fabric that Maggie will need for manufacturing the cushion is \(S = 2\pi r(r + h) = 2\pi \times 7(7 + 2) \approx 395.84 \: \rm in^2\)
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5 added to the product of 12 and x is written as
The expression "5 added to the product of 12 and x" can be written as 12x + 5.
The expression "5 added to the product of 12 and x" can be written as:
12x + 5
Here's how we got this answer:
The product of 12 and x is written as 12x.
"5 added to the product of 12 and x" means we need to add 5 to 12x.
Putting these two parts together, we get the expression 12x + 5, which is the final answer.
Therefore, the expression "5 added to the product of 12 and x" can be written as 12x + 5. This is the algebraic representation of the given phrase.
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Need these 2 answered. 25 points!
Please show work, Thanks! :)
Answer:
The answer for your first question after just factoring is -(x-6)(x+7). So the answer for the first question is C
The answer to the second question after factoring is -3x(2x+3), which matches Choice A, so the answer to the second question is A.
Step-by-step explanation:
Convert the fraction to a
decimal. State whether the
decimal is terminating or
repeating.
3/5
Answer:
0.6
Step-by-step explanation:
3 divided by 5 is 0.6
This is a terminating fraction since it ends at 6
Hopes this helps please mark brainliest
The radius of a circle is 7.2 m. Find the circumference {to the nearest tenth}to the nearest tenth.
Answer:
45.22
Step-by-step explanation:
multiplication of 7.2 × 2 × 3.14 is equal to 45.216.
Answer:
=45.24m
Step-by-step explanation:
Circumference=2πr
2×3.142×7.2
=45.24m
Which point(s) lie on the line whose equation is - 4x + 5y - 12 = 8 Select all that apply. A (5, 0) В (- 2, 2.4) (8, 5) D (10, 12) E (0, 4)
Answer:
Options B, D and E
Step-by-step explanation:
Given equation is,
-4x + 5y - 12 = 8
-4x + 5y = 20
If a point given in the options lie on the line, point will satisfy the equation.
Option A.
For a point (5, 0),
-4(5) + 5(0) = 20
-20 = 20
False
Therefore, (5, 0) will not lie on the given line.
Option B
For (-2, 2.4)
-4(-2) + 5(2.4) = 20
8 + 12 = 20
20 = 20
True.
Therefore, (-2, 2.4) will lie on the given line
Option C
For (8, 5),
-4(8) + 5(5) = 20
-32 + 25 = 20
-7 = 20
False
Therefore, (8, 5) will not lie on the line.
Option D
For (10, 12)
-4(10) + 5(12) = 20
-40 + 60 = 20
20 = 20
True.
Therefore, (10, 12) will lie on the line.
Option E
For (0, 4)
-4(0) + 5(4) = 20
20 = 20
True.
Therefore, (0, 4) will lie on the line.
Options B, D and E are correct.
if f(x) + x^4|f(x)|³ = 435 and f(2) = 3, find f'(2) =
f'(2) is approximately equal to -1.9977. To find f'(2), we can use the chain rule and power rule of differentiation.
First, we differentiate both sides of the equation with respect to x:
f'(x) + 4x³|f(x)|³ + 3x^4f(x)|f(x)|² f'(x) = 0
Next, we substitute x=2 and f(2)=3 into the equation:
f'(2) + 4(2)³|3|³ + 3(2)^4(3)|3|² f'(2) = 0
Simplifying:
f'(2) + 4(8)(27) + 3(16)(9) f'(2) = 0
f'(2) + 864 + 432 f'(2) = 0
Combining like terms:
433f'(2) = -864
Dividing by 433:
f'(2) = -864/433
Therefore, f'(2) is approximately equal to -1.9977.
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the water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. they would like the estimate to have a maximum error of 0.15 gallons. a previous study found that for an average family the variance is 3.61 gallons and the mean is 17.3 gallons per day. if they are using a 90% level of confidence, how large of a sample is required to estimate the mean usage of water? round your answer up to the next integer.
We need to round up to the nearest integer, the required sample size is 76 households.
To estimate the required sample size, we can use the formula:
\(n = (z^2 * s^2) / E^2\)
Where:
z is the z-score corresponding to the confidence level (90% = 1.645)
s is the standard deviation of the population (square root of the variance, so s = sqrt(3.61) = 1.898)
E is the maximum error allowed (0.15 gallons)
Plugging in the values, we get:
\(n = (1.645^2 * 1.898^2) / 0.15^2\)
n = 75.57
Since we need to round up to the nearest integer, the required sample size is 76 households.
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can someone help me because i dont know how to do this
The value of given expression is \(10^7\) which can be said as 10 raised to the power 7.
We have to find the value of \(10^5*\frac{10^4}{10^2}\)
It is a question of exponents and powers.
Exponents (Power)
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. It is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power.
For example, the mass of Earth is 5,97,219,00,00,00,00,00,00,00,00,000 kg. This cannot be read in simple words. Thus, to pronounce these types of numbers we make use of exponents.
Hence, the weight of earth will be written as \(5.97219 * 10^{24}\).
We know that:-
\(x^a*x^b = x^{a+b}\) and,
\(x^a/x^b = x^{a-b}\)
Hence, we can write,
\(\frac{10^4}{10^2} = 10^{4-2} = 10^2\)
Now,
\(10^5*10^2=10^{(5+2)}=10^7\)
Hence, the answer is \(10^7\).
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Help and show how you got your answer please
\( \huge\boxed{♧ \: \mathfrak{ \underline{Answer࿐} ♧}}\)
we know,
\( \boxed{volume = \pi r {}^{2} h}\)
so, volume of each pillar :
\(\longmapsto 3.14 \times 1.7 \times 1.7 \times 12\)
\(\longmapsto108.89 \: m {}^{3} \)
since, there are total 26 pillars,
total volume :
\(\longmapsto108.89 \times 26\)
\(\longmapsto2831.14 \: \: m {}^{3} \)
This histogram shows the number of peanuts per bag of trail mix. Choose ALL statements about the data that are true? A) The most common range of peanuts per bag is 30-39. B) There are more bags with 10-19 peanuts than 40-49. C) The least common range of peanuts per bag is 10-19. D) The ranges with the same number of bags are 10-19 and 40-49. E) The ranges with the same number of bags are 20-29 and 50-59.
Answer:
A), C), E)
Step-by-step explanation:
simplifiy the equations and show ur work
The simplest form is (-2 ±√12)/2.
What is simplification?
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
Here, we have
Given: x = (-4 ±√48)/4
We have to simplify the given term.
x = (-4 ±√48)/4
x = (-4 ±√12×4)/4
x =(-4 ±2√12)/4
Now, we take 2 as common and get
x = (-2 ±√12)/2
Hence, the simplest form is (-2 ±√12)/2.
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Given: AD is parallel to BC
Prove: DC = 6 units
Which step is missing?
To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.
Option C is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
AD is parallel to BC
From the figure and the given information,
We have,
∠DAC ≅ ∠BCA
AC ≅ AC∠DCA ≅∠BACThis means,
Angle-Side-Angle (ASA) Congruence
ΔDAC ≅ ΔBCA
Thus,
To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.
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