1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.

Answers

Answer 1

Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x


Related Questions

Consider the first quadrant of the unit circle. How does the covenant ratio change as the sine ratio increases?

Answers

Answer:

For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.

Step by Step:

Keep this in mind >>

Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.

All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.

pls helppp this is so confusinggg

Answers

Answer: .025

Step-by-step explanation: we first have to find the distance between each term we divide 12/5 by 6 you have to change it into multiplication so you invert is to 12/5 times 1/6 you then get 12/30 you reduce that to become 2/5 if you want to test this to make sure it is right then you can. you then use a formula but I can't remember it so then you can just multiply it several times to find the answer. you get the answer by round from the thousandths

find the polar coordinates of a point with Cartesian coordinates (x,y)=(5√3/2,−5/2).Select the correct answer below:



(5,5π/6)

(10,4π/3)

(5,11π/6)

(10,5π/6)

(5,4π/3)

(10,11π/6)

Answers

Answer: The correct answer is (5, 11π/6). or C

Step-by-step explanation:

The polar coordinates of the point (x, y) = (5√3/2, -5/2) are (r, θ) = (5, 11π/6).

Explanation:

Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

Plugging in the given values:

r = √((5√3/2)^2 + (-5/2)^2)

= √(75/4 + 25/4)

= √(100/4)

= 5

θ = atan2(-5/2, 5√3/2)

≈ 11π/6 radians

So, the correct polar coordinates of the point (5√3/2, -5/2) are (r, θ) = (5, 11π/6).

Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 300 times and got 134 heads. We wish to find how significant is this evidence against equal probabilities.

What is the sample proportion of heads?

0.444
Incorrect Round to 3 places.

Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different?

Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test?

H0: p = 0.5
H0: p > 0.5
H0: p = 0.5
H0: p ≠ 0.5
H0: p ≠ 0.5
H0: p = 0.5
H0: p = 0.5
H0: p < 0.5
Incorrect


Compute the z test statistic.

z =
0.444
Incorrect Round to 2 places.

Answers

The resulting z-test statistic is 0.44, indicating that the evidence is not significant enough to reject the null hypothesis that the probability of heads is equal to 0.5.

The problem we are trying to solve is to determine if the sample proportion of heads obtained from spinning a penny 300 times (134 heads) is significant evidence against equal probabilities of heads and tails. To do this, we will be testing the null hypothesis H0: p = 0.5, which states that the probability of getting heads is equal to 0.5.

We can calculate the z-test statistic using the formula z = (sample proportion - hypothesized proportion) / (standard error). In this case, the z-test statistic is z = (0.444 - 0.5) / (√(0.5 * 0.5 / 300)) = -0.86. This means that the sample proportion of heads is 0.86 standard errors away from the hypothesized proportion of 0.5.

Therefore, the resulting z-test statistic is 0.44, indicating that the evidence is not significant enough to reject the null hypothesis that the probability of heads is equal to 0.5.

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Helpppp this is for geometry

Answers

The correct statements regarding the transformations are given as follows:

FG and F'G' have the same length.<G and <G' have the same measure.

What are transformations on the graph of a function?

Examples of transformations are given as follows:

Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.

For the transformation 1, we have a reflection, which keeps both the side lengths and the angle measure constant, just changing the orientation of the figure.

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a number from 1 to 8 is chosen at random. What is the probability that the number chosen is not even

Answers

Answer:

The probability that the number chosen is not even = 4/8

A circle has a radius of 9 cm and a sector of the circle has an arc length of 9.7 cm. The angle at the centre of the sector is xº. Calculate the value of x to the nearest degree. 9 cm X 3 9.7 cm

Answers

Answer:

62 degrees

Step-by-step explanation:

Hope this helps! If it’s wrong I’m really sorry. I used the formula θ = s/r then converted it from radians to degrees.
Pls give brainliest!

Find the probability that a point chosen at random would lie in the shaded area of the figure. Round to the nearest tenth of a percent.

Answers

Answer:

Area of shaded region:

12r^2 - (2(2r^2) + 2πr^2) =

12r^2 - 4r^2 - 2πr^2 =

(2r^2)(4 - π)

Probability of point chosen in shaded region:

(2r^2)(4 - π)/(12r^2) = (4 - π)/6 = .143 = 14.3%

Naomi invested $860 in an account paying an interest rate of 33% compounded
monthly. Matthew invested $860 in an account paying an interest rate of 41%
compounded annually. After 10 years, how much more money would Matthew have
in his account than Naomi, to the nearest dollar?

Answers

Answer:

Step-by-step explanation:

Consider the following triangle.
A right triangle. The side opposite to theta is 5 meters and the side adjacent is 6 meters.
Determine the measure of the angle represented by Theta using the inverse tangent function.
a.
50.2º
b.
56.4º
c.
39.8º
d.
33.6º

Answers

Answer:

Step-by-step explanation:

tan theta=5/6

theta=tan-1(5/6)

        =39.8º

Please help me I am stuck at this thanks so much

Answers

Answer:

34.83/.9 = 38.7 g mass (after one hour)

38.7/.9 = 43 g (starting mass)

The starting mass of the ice cube was 43 grams.

Can anyone help me answer this question?
Find G(x) = sin^2(x) + 3cos(x), when x=

Answers

[tex]g(x)=\sin^2(x)+3\cos(x) \\\\[-0.35em] ~\dotfill\\\\ g(\pi )=\sin^2(\pi )+3\cos(\pi )\implies g(\pi )=[\sin(\pi )]^2+3\cos(\pi ) \\\\\\ g(\pi )=(0)^2+3(-1)\implies g(\pi )=-3[/tex]

Solve for AB in simplified, rationalized form:

20/√2 20√2/2 40/√2 10√2

Answers

Answer:

AB = (20/√2)(√2/√2) = 10√2

In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a dog given that they have a cat?

Answers

The probability that a student has a dog given that they have a cat is 2/5.

To find the probability that a student has a dog given that they have a cat, we need to use conditional probability. We can use the formula:

P(Dog | Cat) = P(Dog and Cat) / P(Cat)

where P(Dog and Cat) is the probability that a student has both a dog and a cat, and P(Cat) is the probability that a student has a cat.

From the given data table, we can see that there are a total of 25 students in the class, and 15 of them have a cat. Of the 15 students with a cat, 6 also have a dog. Therefore, P(Dog and Cat) = 6/25 and P(Cat) = 15/25.

Substituting these values into the formula, we get:

P(Dog | Cat) = (6/25) / (15/25) = 6/15 = 2/5

Therefore, the probability that a student has a dog given that they have a cat is 2/5 or 0.4.

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I NEED HELP WITH TTHIS PROBLEM IN STATISTICS

Answers

Answer:

Step-by-step explanation:

the median would be 9.

A student shapes a piece of clay into a small cube. The students places the clay at the bottom of the ramp in Setup 2. The student rolls the 1-kilogram ball down the ramp and observes the collision between the ball and the clay cube.

Answers

Answer: Reduce the height of the ramp from 1 meter to 0.5 meters

Step-by-step explanation:

Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.

Answers

An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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A​
16.2
16.2​-foot slide has an angle of elevation of
49.4
°
49.4°​ from the ground to the slide. What is the horizontal distance traveled by someone sliding from the top of the slide to the bottom of the slide? Round your answer to one decimal place. Enter
deg
deg​ after any degree value.

Answers

Answer:

Set your calculator to degree mode.

Please sketch the figure to confirm my answer.

cos(49.4°) = d/16.2

d = 16.2cos(49.4°) = 10.5 feet

16.2 !!!!!!!!!!!!!!!

How do I solve this question? I need to know what the base is, what the width is, and what the height is. Thanks if you can help!!! And I will need this ASAP if you can, thanks again!!!

Answers

Answer:

I assume you are referring to a rectangular prism with dimensions of 7 feet by 13 feet by 5 feet and you are trying to identify which dimension represents the length, width, and height.

In a rectangular prism, the length is typically considered the longest dimension, while the width and height are interchangeable depending on the orientation of the prism.

So, in this case, it is likely that the 13 feet dimension represents the length, while the 7 feet and 5 feet dimensions represent the width and height (in either order). However, it is important to note that without more context, it is impossible to know for sure which dimension is which.

  A trapezoid has bases of 6 1/3 yd and 8 1/5 ​yd, and a height of 3 3/4 yd. Compose the trapezoid into a parallelogram. What is the area of this​ trapezoid?

Answers

The area of this​ trapezoid is 14.42 square yards.

To compose the trapezoid into a parallelogram, we need to add a triangle to the top of the trapezoid, so that the top and bottom sides are parallel. The area of the triangle is equal to half the product of the base and height.

First, we need to convert the mixed numbers to improper fractions:

Base 1: 6 1/3 yd = 19/3 yd

Base 2: 8 1/5 yd = 41/5 yd

Height: 3 3/4 yd = 15/4 yd

The length of the top side of the triangle is equal to the difference between the two bases:

Top side = 41/5 - 19/3 = (123 - 95)/15 = 28/15

Now we can calculate the area of the triangle:

Triangle area = (1/2) x (28/15) x (15/4) = 7/4

The trapezoid can now be composed into a parallelogram, with base 1 as one side and base 2 as the other side. The height of the parallelogram is the same as the height of the trapezoid, which is 15/4 yd.

The area of a parallelogram is equal to the product of its base and height, so the area of the trapezoid is:

Parallelogram area = (19/3 + 41/5) x (15/4) = 865/60 = 14.42

Therefore, the area of the trapezoid is 14.42 square yards.

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What is a formula for the nth term of the given sequence?
12,6,3...

Answers

Answer:

The given sequence is decreasing by a factor of 2 each time, so each term is half of the previous term.

We can write the nth term of the sequence as:

a_n = a_1 * (1/2)^(n-1)

where a_1 is the first term of the sequence (12 in this case) and n is the position of the term we want to find.

For example, to find the 4th term of the sequence, we would have:

a_4 = 12 * (1/2)^(4-1)

= 12 * (1/2)^3

= 12 * 1/8

= 1.5

Therefore, the formula for the nth term of the sequence 12, 6, 3, ... is:

a_n = 12 * (1/2)^(n-1)

Write an explicit formula for an, the n^th term of the sequence
2,−8,32,....

Answers

Answer:

36

Step-by-step explanation

6x6

The formula for an is: a_n=2•(-4)^(n-1)


The explicit formula for the nth term in a GEOMETRIC sequence is: a_n = a_1 * r^(n-1)
Wherein a_1 = first term in the sequence, a_n = nth term in sequence, r = common ratio between terms, n = # of term in the sequence being found (also means that n-1 is the # for the previous term).


In sequence 2, -8, 32…
We know that 2 is the FIRST term, or a_1.
What about r? Well,
2(r)= -8
2(-4) = -8, so r = -4.
-8(-4)= 32;
32(-4)= -128;
-128(-4)= 512;
512(-4)= -2048;
…And so on.

Substitute knowns into the formula:
a_n= 2*(-4)^(n-1)
Or
a_n= (-1/2)*(-4)^n
But I would go with the first one as an answer.

Here’s a picture of the work if it helps to see (I’m on my phone so it’s harder to type out the formulas):
Hope this helps!

What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?

A) 85π in
B)100π in
C)120π in
D)225π in

Answers

The surface area of the right cylindrical oil can is 120π in² and the right option is C) 120π in².

What is surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

To calculate the surface area of the right cylindrical oil can, we us the formula below

Formula:

S.A = 2πr(r+h)...................Equation 1

Where:

r = Radius of the baseh = Height of the cylinderS.A = Surface area of the cylinder

From the question,

Given:

r = 4 inchesh = 11 inches

Substitute these values into equation 1

S.A = 2×4×π(11+4)S.A = 120π squared in.

Hence, the right option is C) 120π in².

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CAN SOMEONE HELP WITH THIS QUESTION?

Answers

If company's marginal cost function is c(x)= 14 / √x, the total cost of producing the first 25 units is $10.67.

The marginal cost function is given as c(x) = 14 / √x, where x is the number of units produced.

To find the total cost of producing the first 25 units, we need to integrate the marginal cost function from x=0 to x=25, as follows:

Total cost = ∫₀²⁵ 14 / √x dx

We can use integration by substitution to solve this integral. Let u = √x, then du/dx = 1/(2√x), and dx = 2u du. Substituting these into the integral, we get:

Total cost = ∫₀⁵ √14/u du

This can be integrated using the power rule of integration. We have:

Total cost = 2√14 [[tex]u^{(3/2)[/tex]/3]₀⁵

Substituting back u = √x, we get:

Total cost = 2√14 [[tex](\sqrt{x})^{(3/2)[/tex]/3]₀²⁵

= 2√14 [[tex](\sqrt{25})^{(3/2)[/tex]/3 - [tex](\sqrt{0})^{(3/2)[/tex]/3]

= 2√14 (5/3)

= 10.67

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A mini-flashlight
is in the shape of a
rectangular prism. It is in. wide, 14in.
tall, and in. long. What is its volume?

Answers

Answer:

63 cubic inches

Step-by-step explanation:

To find the volume of the rectangular prism mini-flashlight, we need to multiply its length, width, and height.

Given that the width is 3 inches, the height is 14 inches, and the length is 1.5 inches, we have:

Volume = length x width x height

Volume = 1.5 in x 3 in x 14 in

Volume = 63 cubic inches

Therefore, the volume of the mini-flashlight is 63 cubic inches.

Which of the points below correctly plots the point (4,π/3)?

Answers

Answer: The correct answer is B

Step-by-step explanation:

Remember that the coordinates (4,π3) tell us the radius r=4 and the angle θ=π3. So the point should be on the circle labeled 4 and form an angle of π3 with the positive x-axis. Point B is the correct point

how do you find the domain of the resulting function?

Answers

To find the domain of a function, we need to determine all values of the independent variable (usually denoted as x) for which the function is defined and has a real output.

For example, if we have the function:

f(x) = 1/(x-3)

We need to exclude any values of x that would make the denominator zero, since division by zero is undefined. Therefore, the domain of this function would be all real numbers except x = 3. We could write this as:

Domain: x ∈ ℝ, x ≠ 3

If we have a more complex function, we need to consider any other restrictions on the independent variable that may be imposed by the function.

For instance, if we have the function:

g(x) = sqrt(x-2)/(x+3)

Here, the square root function is defined only for nonnegative values of its argument. Therefore, we need to ensure that x-2 ≥ 0, or equivalently, x ≥ 2. Additionally, the denominator of the fraction cannot be zero, so we need to exclude x = -3. Combining these two conditions, we get:

Domain: x ∈ [2, ∞), x ≠ -3

This means that the function g(x) is defined and has a real output for all values of x greater than or equal to 2, except x = -3.

In general, to find the domain of a function, we need to consider any restrictions on the independent variable imposed by the function itself (such as division by zero, taking the square root of a negative number, etc.), as well as any restrictions that may be imposed by the context in which the function is used (such as physical or mathematical constraints). We then express the domain as a set of values of x that satisfy all the relevant conditions.

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The box and whisker blot below represent some data set. Which is the maximum value of the data?

Answers

The maximum value of the data = 64

We know that in the box and whisker plot with the left end of the whisker represents the minimum value of the data and the right end of the whisker represents the maximum value.

From the attached box and whisker plot, we can observe that between two numbers on the number line there are 5 equal units.

So, the value of each unit length = 4 unit

Here, the left end of the whisker has value 8 and the right end of the whisker has value 64

This means that the meaximum value = 64

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Find the measure of angle 3. 90° 45° 120° 30°

Answers

How are we supposed to answer this question without a picture of the shape

hi how to integrate this​

Answers

Integration of   [tex]\int\limits^6_0 {\frac{8}{1+74e^{-0.3t} } } \, dt[/tex]   is 2.199.

We can solve this integral using the substitution method, where u = 1 + 74[tex]e^{-0.3t}[/tex] . Taking the derivative of both sides, we have du/dt = -222[tex]e^{-0.3t}[/tex] .

We can rewrite the integral in terms of u:

∫[8/(1+74[tex]e^{-0.3t}[/tex] )]dt = ∫[8/u * (-1/222) * (-222[tex]e^{-0.3t}[/tex] )]du

Simplifying this expression, we have:

= (-8/222) ∫[1/u] du

= (-4/111) ln|u| + C

where C is the constant of integration.

Substituting back for u, we have:

= (-4/111) ln|1 + 74[tex]e^{-0.3t}[/tex] | + C

To evaluate the definite integral from 0 to 6, we plug in the limits of integration:

= (-4/111) [ln | 1 + 74[tex]e^{-0.3(6)}[/tex] | - ln | 1 + 74[tex]e^{-0.3(0)}[/tex] |]

= (-4/111) [ln|1 + 74[tex]e^{-1.8}[/tex]| - ln75]

≈ 2.199

Therefore, the value of the definite integral is approximately 2.199.

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If you see Alice going to your left at exactly 0.99c and Bob going to your right at exactly 0.99, Alice will say that Bob isa) going away from her at 1.98cb) going away from her at exactly 0.99cc) going away from her at exactly cd) going away from her at about 0.98e) going away from her faster than 0.99c, but slower than c when reviewing her mortgage documents, reva learns that should she miss scheduled payments, fail to pay property taxes, or allow the property to fall into disrepair, she may be in . Which type of selection favors an average phenotype within a population?. use powershell help to find cmdlets related to the set-location command. enter the first cmdlet listed in the related links section of the help file. If the expected return on Treasury bills for 2015 is 0.25% and the market risk premium for the United States is 7.50%, what is the expected return on the U.S. stock market for 2015 Suppose A Monument in Texas casts a shadow of 285 feet. At the same time, a nearby tourist, who is 5 feet tall casts a 2.5 foot shadow. How tall is the Monument? Let's say you are studying fibre yield in Hibiscus sabdariffa L. and you want to know how much of the variation is due to genetic factors and how much is due to environmental factors. You decide to grow clones of one variety in its wild location. Which of the following is true? Vp = Vg + Ve + Vge; Vg = Va + Vd + Vi Ve=0 Vp-ve Vp-0 Vp=Vg The AVREAGE global temperature has ______ during the last 50 years. Use the picture for a hint. IncreasedDecreasedRemained the sameOnly increased at the Equator How do plants take advantage of adhesion and cohesion to transport water. Monique collects data from a random sample of seventh graders in her school and finds that 12 out of 20 seventh graders barticipate in after-school activities. Write and solve a proportion to estimate the number of seventh graders n who barticipate in after-school activities if 165 seventh graders attend Monique's if north is behind these rocks in the direction you are looking in the photograph, what is the general dip direction for the dipping rocks? What does voltage describe? Which new york city landmark did first lady jackie kennedy save from demolition?. Explain the unusual integration pattern for the nmr? (Oxidation) How many couples from married at first sight are still together. Refer to Exhibit 5-l. The demand curve D3 is describe changes in the pattern of migration within and to europe in the second half of the twentieth century. What ion will be formed by the phosphorus atom shown below when it has a stable set of valence electrons?. Fill in the blank. Price is the amount of something that a buyer exchanges with a seller to obtain a product. This exchange can be in the form of ______. a company began january with 8,000 units of its principal product. the cost of each unit is $7. inventory transactions for the month of january are as follows: date of purchase purchases units unit cost* total cost january 10 6,000 $ 8 $ 48,000 january 18 8,000 9 72,000 totals 14,000 $ 120,000 * includes purchase price and cost of freight. sales date of sale units january 5 4,000 january 12 2,000 january 20 5,000 total 11,000 11,000 units were on hand at the end of the month. required: 1. calculate january's ending inventory and cost of goods sold for the month using fifo, periodic syste