Nadia typically types 32 words per minute, but her rate may vary by as much as 5 words per minute. Let x be the actual rate at which Nadia types. What is the range of rates, in words per minute, that Nadia could type?

The required measure of the angle x is given as 117.38°.

A triangle is given with a measure of.
a = 50, b = 55 and c = 90ft

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Apply cosine formula,
c² = a² + b² -2abcosx
Substitute the value in the above expression,
90² = 50² + 55² - 2×50×55×cosx
cosx = -0.46
x = cos⁻¹[-0.46]
x = 117.38°

Hence, as a result, the measure of the angle x is 117.38°.

Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ1

Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate: 15 × ( 1 - 2/3)

Apply Multiplicative Distribution Law: 15 - 10

Calculate the sum or difference: 5

Answer: 5

Step-by-step explanation:

Because 5x5=25

The theorem to shows triangle ATC is congruent to triangle BTD will be ''SAS'' theorem.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle ATC is congruent to triangle BTD.

Now,

In the figure, we get;

⇒ AT = TB   (Side)

⇒ AC = BD  (Side)

⇒ ∠ATC = ∠DTB = 90°  (Vertically opposite angle)

Thus, By using SAS theorem the triangle ATC is congruent to triangle BTD.

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ1

[tex]\tan 64^{\circ}=\frac{x}{11} \implies x=11 \tan 64^{\circ}[/tex]

The sampling method that is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country is A. Simple random sampling, because the people in the sample are accessible and available

Sampling is the process of selecting the group from which you will collect data for your research. For example, if you want to know what students think at your university, you could survey 100 of them. In statistics, sampling allows you to test a hypothesis about a population's characteristics.

Simple random sampling is a type of probability sampling in which a subset of participants is chosen at random from a population. Each person in the population has an equal chance of being chosen. The data is then collected from as large a percentage of this random subset as possible.

Based on the information illustrated, the correct option is A.

Learn more about sampling on:

https://brainly.com/question/16587013

#SPJ1

Answer: D) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement

Step-by-step explanation: Just took the test and got this right, also simple random sampling one small town wouldn't be an accurate sample for the entire country, and cluster sampling is better since the question inquired about the entire country... If that makes any sense lol.

Using the concept of asymptote of the function it can be concluded that the number of boxes of cereals sold is 0 after 0 weeks, it will keep falling after reaching the maximum sales and cereals sold is always positive as the cereals introduced so the correct option are A, C and E.

A line that a curve approaches but never touches is an asymptote. The graph of a function converges to a line known as an asymptote, in other words. When graphing functions, asymptotes are usually not necessary to be drawn. The curve must not contact the asymptote when we graph them using dotted lines (imaginary lines). As a result, the asymptotes are merely made-up lines. When either the value of x or y tends to or -, the distance between the asymptote of a function, y = f(x), and its graph is close to zero.

Option A is correct as according to the option A: - B(w)= [tex]\frac{120w}{150+w^{2} }[/tex], w=0.

On putting the value of w=0 in above function implies B(w)=0.

Hence, number of boxes of cereals sold is 0 after 0 weeks.

Option C is correct as function B(w) is decreasing function after reaching its maxima according to graph.

Option E is correct as B(w)= [tex]\frac{120w}{150+w^{2} }[/tex], if w>0

implies that B(w)>0 as numerator>0 and denominator>0.

Based on the asymptote of function the number of boxes of cereals never reach 0 after cereals introduced in the store.

To know more about asymptote of function, visit:

https://brainly.com/question/28213818

#SPJ1

It will take 2 years for the value of the car to be 5300 dollars based on the car depreciation rate.

A = [tex] {P (1-r)}^{nt} [/tex], where A is amount, P is principal, r is rate, t is time period and n is number of iterations in a year.

Keep the values in formula -

5300 = 21900 (1 - 12.25)t

Performing division on Left Hand Side of the equation

5300/21900 = (0.1225)t

Performing division on Left Hand Side of the equation and subtraction on Right Hand Side of the equation

0.24 = 0.1225t

Performing division

t = 0.24/0.1225

t = 1.96 or 2

Hence, it will take 2 years.

Learn more about rate -

https://brainly.com/question/25793394

#SPJ4

Gerund can be used in place of infinitive depends on the sentence as this is a subjective.

Explanation:

Gerund can be used in place of infinitive in the sentence.

Therefore, gerund and infinitive are interchangeable or not depends on the sentence.

Learn more about gerund here

brainly.com/question/11017355

#SPJ4

The hypothesis is a proposed cause of a phenomenon in this binge drinking the hypothesis is not proof.

For a speculation to be a systematic speculation, the clinical technique calls for that you will take a look at it. Scientists normally base clinical hypotheses on preceding observations that can't satisfactorily be defined with the to be had clinical theories.

Unintended being pregnant and terrible being . Binge consuming is sort of two times as not unusualplace amongst guys than amongst women.There isn't anyt any proof of a great affiliation among binge consuming and age group. Fail to reject Hypothesis.

Read more about hypothesis;

https://brainly.com/question/11555274

#SPJ4

By using the concept of equation, it can be calculated that-

The equation can be solved by using this system of equations

[tex]3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11[/tex]

What is equation?

At first it is important to know about algebraic expressions.

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

Here the system of equation are-

[tex]3x^5-5x^3+2x^2-10x+4=0\\4x^4+6x^3-11=0[/tex]

So the equation can be solved by using this system of equations

[tex]3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11[/tex]

To learn more about equation, refer to the link-

https://brainly.com/question/2972832

#SPJ4

Complete Question

Which equation can be solved by using this system of equations?

[tex]3x^5-5x^3+2x^2-10x+4=0\\4x^4+6x^3-11=0[/tex]

The equation used to find the answer is 26 -14 -6 =

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.

number of flowers picked by the girl = 14

number of flowers already with her = 6

number of flowers picked by her grand mother = 26

so her grandmother picked 26 - 14 - 6 flowers more than her. so then equation becomes 26 -14 -6 = ?

In conclusion, the equation that best describes the above is 26 -14 -6 = ?

Learn more about equations:

https://brainly.com/question/2972832

#SPJ1

The number of unique orders that Gabriel can arrange for the new flavors of his favourite snak is 6..

The term permutation refers to the mathematical calculation of the number of ways a given set can be arranged. Simply put, permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of placement is important.

P(n,r) = n!/(n-r)!

where n --> total items in the set;

r --> items taken for the permutation;

"!" --> denotes taking the factorial

We have given that,

total possible flavours of Gabriel's favorite snack = 3

He wants to try each of the new flavors one after the other.

We have to calculate the number of ways Gabriel can arrange the new flavors .

For this Use the permutation formula,

ⁿPᵣ = n!/(n-r)!

here , n = 3 , r = 3 then,

P (3,3) = 3!/(3 − 3)!

= 3!/0!

As we know that 0! = 1 so, P(3,3) = 3!

= 3×2×1 (because n! = n(n-1)(n-2)---3.2.1 )

= 6

There are 6 unique orders in which Gabriel can arrange the new flavors.

To learn more about Permutation, refer:

https://brainly.com/question/1216161

#SPJ4

The two equations of a line are 1) Two point form

2)Slope-intercept form

Two-point form: The equation of a line passing through the two points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex]. The slope of the two-point form is [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

The equation is [tex]y-x_{1}=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } (x-x_{1})[/tex]

Slope-intercept form: The slope-intercept form is [tex]y=mx+c[/tex]. Here m represents the slope of the line and c represents the y-intercept of the line.

Learn more about equations from

https://brainly.com/question/29657983

#SPJ4

house flipping is the buying of a house for a low price with the intention of reselling it for a profit after a short period of time.

Buyers that acquire distressed houses, patch them up, and then resell them for a profit are included. These properties are often found through foreclosures, bank short sales, or property auctions.

To be successful at real estate flipping, you must be able to manage your money properly and invest in inexpensive homes. These are generally properties that need a lot of attention.

Following that, you'll need to spend on modifications that will boost the resale value of the house and draw the attention of a possible buyer. When the improvements are finished, you must list and advertise the home.

Learn more about house flipping here: https://brainly.com/question/7976922

#SPJ4

The angular radius θ of the first dark ring for a point source being imaged by this telescope is 4.00 × 10^-5 degrees

The value of λ = 550 nanometer

The value of D = 0.96 m

We have to find the angular radius theta

The equation will be

sin θ = 1.22λ / D

Substitute the values in the equation

sin θ = 1.22 × (550 × 10^-9) / 0.96

Multiply the term in the numerator

sin θ = 6.71 × 10^-7 / 0.96

Divide the numbers

sin θ = 6.98 × 10^-7

θ = sin^-1 (6.98 × 10^-7)

θ = 4.00 × 10^-5

Therefore, the value of θ is 4.00 × 10^-5 degrees

Learn more about angular radius here

brainly.com/question/3180528

#SPJ4

Answer: 3.51

Step-by-step explanation:

Answer: The tip was 3.50$

Step-by-step explanation: Since the tip is 20% you would times the given amount by 20 then divide it by 100.

20 x 17.53 / 100 = 3.506

We're rounding to the nearest cent, so that would be 3.50.

Both sides of an equation must contain the same number of atoms in order for it to be properly balanced.

An element is balanced if it has the same amount of atoms on both sides of the equation. The equation is balanced if all the components are in balance. Equal numbers and types of each atom appear on both sides of balanced chemical equations. A balanced equation must have coefficients that are the simplest whole number ratio. Chemical reactions always conserve mass.

When the quantity of each type of atom is the same on both sides of the reaction, a chemical equation is considered to be balanced. A chemical equation should have the same number of atoms on both sides. The number of atoms for each element is conserved during a chemical reaction, despite the possibility that reactant molecules may change during the process (producing distinct molecules of product).

Learn more about balanced equation visit: brainly.com/question/26694427

#SPJ4

Correct Question:

If an equation is balanced properly both sides of the equation must have the same number of _________________.

Answer:

       [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

3.5 = [tex]\frac{7}{2}[/tex]

swap the numerator and denominator (flip the fraction):

reciprocal of [tex]\frac{7}{2}[/tex] is [tex]\frac{2}{7}[/tex]

Answer:

A lab needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How many gallons of each solution should be mixed to make the 34% solution?

***

let x=amount of 25% solution to mix

500-x=amount of 50% solution to mix

.25x+50%(500-x)=34%*500

.25x+250-.50x=170

.25x=80

x=320

500-x=180

amount of 25% solution to mix=320 gal.

amount of 50% solution to mix=180 gal

Step-by-step explanation:

Therefore , the answer is  the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.

A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.

Here,

Assuming that the confidence interval's lower and upper bounds are both positive and that it does, then one of the proportions must be larger than the other as the confidence interval's range corresponds to the difference in proportions. Men watch television more frequently than women do (56/70 vs. 47/85, according to a quick calculation of the proportions).

The reply is "D" The researcher can infer that more men than women routinely watch television because the confidence interval is positive.

To know more about confidence interval , visit

brainly.com/question/24131141

#SPJ4

The range is roughly four times the standard deviation, according to the range rule of thumb.

We have to explain, the rule for range.

As we know that;

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

There have range rule of thumb;

The range is roughly four times the standard deviation, according to the range rule of thumb. Another statistician's measure of spread is the standard deviation. It describes the way that your data is grouped around the mean.

To learn more about range rule of thumb link is here

brainly.com/question/11094657

#SPJ4

Answer:

The isosceles triangle altitude bisects the angle of the vertex and bisects the base. It should be noted that an isosceles triangle is a triangle with two congruent sides and so, the altitude bisects the base and vertex.

The value of the entry will not match will be;

⇒ 10⁻⁶

⇒ [tex]\frac{1}{10^5^/^3}[/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number is,

⇒ [tex]10^{\frac{-3}{5} }[/tex]

Now,

Since, The number is,

⇒ [tex]10^{\frac{-3}{5} }[/tex]

Hence, It can be written as;

⇒ [tex]10^{\frac{-3}{5} }[/tex] = [tex]10^({\frac{-3}{5} })[/tex]

           = [tex]\sqrt[5]{10^-^3}[/tex]

           = [tex](\frac{1}{10^{\frac{1}{5} }} )^3[/tex]

Thus, The value of the entry will not match are given as,

⇒ 10⁻⁶

⇒ [tex]\frac{1}{10^5^/^3}[/tex]

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer: neither

Step-by-step explanation:

y=mx+b

y=2x+3

m= 2/1

y-1=1/2(x+2)

y-1=1/2x +1

+1          +1

y=1/2x + 2

m=1/2

Answer:

c = 40

Step-by-step explanation:

Answer: something

Step-by-step explanation: you are welcome

Answer: x = 15/11

Step-by-step explanation:

55x - 20 = 55

      + 20     +20

55x = 75

/55     /55

x = 75/55

x = 15/11

x = 1 4/11

Answer: x=1.36363636364

Answer:

140 Miles

$70.2

Step-by-step explanation:

1. Set up an equation

    In this case, the equation would be [tex]59 +0.08x=52+0.13x[/tex]

    In this equation, x = miles

2. Simplify

    You need to subtract 0.08x from the left side and 52 from the right   side.  

    This will give you a number that is equal to an x value.

    [tex]7=0.05x[/tex]

3. Divide

    Divide 0.05 from both sides. This will give you X=140. Since x=miles,                

    You would need to drive 140 miles to make the two sides equal.

4. Find the cost.

    Plug the 140 in for the x on one side. You only need to do this to one  

    side because both of the sides are equal.

    59 + (0.08 x 140) = $70.2

Answer:

There are two elements arranged in a single row and two columns in the matrix, hence it is an example of a row matrix. Example 3: A Row matrix of the order 1 x 3, is: A = [ 1 3 8 ] 1 × 3. In the above example, there are three elements in the matrix arranged in a single row and three columns.

Step-by-step explanation:

HOPE IT HELPS U BTW HAVE A GOOD DAY :D