In places where there are crickets, the outdoor temperature can be predicted by the rate at which crickets chirp. One equation that models the relationship between f = 1/4 * c + 40 , chirps and outdoor temperature is where c is the number of chirps per minute and ƒ is the temperature in degrees Fahrenheit. a. Suppose 110 chirps are heard in a minute. According to this model, what is the outdoor temperature? b. If it is 75 deg * F outside, about how many chirps can we expect to hear in one minute? c. The equation is only a good model of the relationship when the outdoor temperature is at least 55 deg * F (Below that temperature, crickets aren't around or inclined to chirp.) How many chirps can we expect to hear in a minute at that temperature?
HELPPPP ME PLEASEEEEEEE ​

This can be solved using the properties of a parallelogram.

What is a parallelogram?

A parallelogram is a basic (non-self-intersecting) quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure. The congruence of opposing sides and angles is a direct result of the Euclidean parallel postulate, and neither condition can be established without resorting to the Euclidean parallel postulate or one of its equivalent formulations. A quadrilateral having just one set of parallel sides is known as a trapezoid in American English or a trapezium in British English. A parallelepiped is a parallelogram's three-dimensional counterpart.

1. If ABCD is a parallelogram, then

(A) Opposite sides of the parallelogram are congruent

2. In a parallelogram opposite sides are equal, so

 6x = 4x + 19

or, 6x - 4x = 19

or, 2x = 19

or, x = 19/2 = 9.5

Hence, x =

(C) 9.5

3. CD = 6x9.5 = 57 units

(D) 57

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Answer:

the answer of a question is option A

The measure that would most correctly answer this question is standard deviation.

What is standard deviation?

The standard deviation is measure of how spread out data from mean.

Step-by-step explanation:

Average age of respondents in a survey is [tex]49[/tex] years. Researcher interested in finding out if most respondents are close to [tex]49[/tex] years or not.

Hence here measures of dispersion fact will be used.

Measures of dispersion are range and standard deviation.

Range is nothing but the difference between maximum and minimum values of the data.

Standard deviation gives proper idea about how far the data values are scattered from the mean point [tex]49[/tex] years.

Therefore the correct option is standard deviation.

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Answer:

Step-by-step explanation:

Slopes of parallel lines are the same. ( [tex]m_{1}[/tex] = [tex]m_{2}[/tex] )

Slopes of two perpendicular lines are opposite reciprocals. ( [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1 )

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

(9, 9)

(6, 1)

[tex]m_{m}[/tex] = [tex]\frac{1-9}{6-9}[/tex] = [tex]\frac{8}{3}[/tex]

(10, 7)

(1, 15)

[tex]m_{n}[/tex] = [tex]\frac{15-7}{1-10}[/tex] = - [tex]\frac{8}{9}[/tex]

Lines m and n neither parallel, nor perpendicular.

The average before training with new trainer is 20 mph.

Let the average speed with old trainer be x. Forming the equation as per given information- Average speed with new trainer = 5% × Average speed with old trainer + Average speed with old trainer

Keep the values in formula to find the average speed with old trainer.

21 = 5/100x + x

Multiplying the equation with 100

2100 = 5x + 100x

Performing addition

105x = 2100

Shifting 105 to Right Hand Side of the equation

x = 2100 ÷ 105

Performing division on Right Hand Side of the equation

x = 20

Thus, average speed with old trainer was 20 mph.

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The value of question are 65+[tex]\underline{115}[/tex]=180, [tex]11x+\underline{48}=180^o[/tex], [tex]11x=\underline{132}[/tex] and [tex]x=\underline{12}[/tex].

In the given question we have to find the value of missing term.

(1) 65+......=180

(2) 11x+.......=180

(3) 11x=.........

(4) x=........

To solve this question we have to use some theorem.

Firstly solving the first question.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So from the diagram

[tex]65+z=180^o[/tex]

Subtract 65 on both side

[tex]65+z-65=180^o-65[/tex]

[tex]z=115[/tex]

Hence, 65+[tex]\underline{115}[/tex]=180.

Now finding the value of second question.

Using Alternate Exterior Angles Theorem

According to theorem the angle beside 11x - 17 is 65.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So  11x-17+65=180[tex]^o.[/tex]

Simplifying

So [tex]11x+\underline{48}=180^o[/tex]

Now finding the value of third question.

From the second question answer we get [tex]11x+{48}=180^o[/tex]

Now solving this equation to find the value of 11x

Subtract 48 on both side

[tex]11x+{48}-48=180^o-48[/tex]

[tex]11x=132[/tex]

Hence, [tex]11x=\underline{132}[/tex]

Now solving the fourth question.

To find the value of fourth question we further simplify the answer of third question.

[tex]11x=132[/tex]

Divide by 11 on both side

[tex]\frac{11}{11}x=\frac{132}{11}[/tex]

[tex]x=12[/tex]

Hence, [tex]x=\underline{12}[/tex]

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Answer:

The measures of this complementary angles is:

45°

Step-by-step explanation:

Complementary angles sum 90°

∡A + ∡B= 90°

∡A = ∡B

Then:

∡A + ∡A = 90°

2∡A = 90°

∡A = 90/2

∡A = 45°

∡B = 45°

Answer:

[tex]x = 2 \pm \frac12\sqrt7[/tex]

Step-by-step explanation:

Hello!

Expand the left-hand side of the equation:

Create the Equation:

The roots of the equation are [tex]x = 2 \pm \frac12\sqrt7[/tex]

The sub-atomic particles located in the nucleus of an He^4 atom are 2 protons and 2 neutrons.

Helium belongs to double-electronic species, unlike alpha-particles which are devoid of electrons. The two electrons of Helium are accommodated in the 1s orbital, outside the nucleus.

Nucleons are always present in the nucleus of various elements. Nucleons collectively refer to protons and neutrons. In this case, 2 protons and 2 neutrons reside in the nucleus.

The number of protons is always equal to the atomic number of the element. The number of neutrons is always equal to the difference between the mass number and the atomic number of the element.

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The rate at which the volume of the cone is changing is -5235.98 inches³/s when the radius of the circular cone is 50 inches and the height is 10 inches.

The formula for the circular cone can be given as;

V = 1/3 πr²h

Now we take the derivative with respect to time as follows;

V = 1/3 πr²h

dV/dt = 1/3π d/dt(r²h)

dV/dt = 1/3π [2r(dr/dt) × h + r²(dh/dt)]

Now we substitute the values in this equation as follows;

dV/dt = 1/3π [2 × 50 × 5 × 10 + (50²) (-4)]

dV/dt = 1/3π [ 5000 - 10000]

dV/dt = 1/3π [-5000]

dV/dt = -5235.98

Hence the negative sign indicates that the volume is decreasing over time and the rate of change is calculated to be -5235.98 inches³/s.

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Answer:15 twice

Step-by-step explanation:

ANSWER

-4.5

EXPLANATION

We want to find the opposite of the number 4.5

The opposite of a number is the number that is the same distance from 0 on the number line but on the other side.

So, if the number is on the right hand side, its opposite is on the left hand side.

In simpler terms, the opposite of a number is the negative of a number.

So, the opposite of 4.5 is -4.5.

Answer:

Twenty-three and seven-ninths

Step-by-step explanation:

Might not be correct I don't really remember how to do this

Based on the linear relationship between the ticket numbers and the total cost, the cost of one ticket can be found to be A. $10.50

First, find the rate of change in ticket pricing assuming the number of tickets is x and the total cost is y.

The rate of change is:

= Change in y / Change in x

= (67.50 - 46.50) / (5 - 3)

= $10.50

Then find the y-intercept:

y = Slope(x) + y-intercept

67.50 = 10.50(5) + y-intercept

y-intercept  = 67.50 - 52.50

y-intercept = 15

Linear equation is:

Total cost = Rate of change (Tickets) + y-intercept

A single ticket would cost $10.50 which is the rate of change.

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The required rate of change and slope of the given relationship is $10.50.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope for the linear function is given as,
m = (y₂ - y₁) /  (x₂ - x₁)

From the table substitute the value in the above equation,
m = [67.50-46.50]/[5-3]
m = 21 / 2
m = 10.50

Thus, the required rate of change and slope of the given relationship is $10.50.

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Answer:

3.75x + $119 = $400.25

x  = $75

Step-by-step explanation:

Lauren needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $119 for parts. The total was $400.25. Write and solve an equation which can be used to determine a, the cost of the labor per hour.

3.75x + parts = $400.25

so:

3.75x + $119 = $400.25

subtract $119 from both sides:

3.75x + $119 - $119 = $400.25 - $119

3.75x = $281.85

divide both sides by 3.75

3.75x/3.75 = $281.85/3.75

x = $75

so the tech charged $75 per hour.

The number of cups of bananas is represented by x

The number of cups of strawberries is represented by y

Note that:

27/5 cups of strawberry is used for 27/25 cups of banana

1 cup of strawberry is used for x cups of banana

x = 27/25 ÷ 27/5

x = 27/25 x 5/27

x = 1/5

1/5 cups of banana is used for 1 cup of strawberry

Comparing the values of x with values of y in the table and writing the relationship in the form y = kx:

y = 5x

where k = 5

The constant of proportionality = 5

Answer:

Step-by-step explanation:

she would have to use 3/4 of the ingrediants to the 400g of minced beef.

tomato sauce would be 600g

stock would be 225g

and red wine would be 225g

The quantity of chopped tomatoes is 600 g, of stock is 225 ml, and of red wine is 225 ml if Julie only has 300 g of minced beef.

The ratio is the comparison of two quantities to determine how frequently one quantity obtains the other. It can be shown as a fraction between two numbers.

Quantity of minced beef = 400 g

Quantity of chopped tomatoes = 800 g

Quantity of stock = 300 ml

Quantity of  red wine = 300 ml

Taking ratios of all the quantities, we get:

minced beef: chopped tomatoes:stock: red wine

= 400:800:300:300

= 100:200:75:75 ( Dividing by 4, as a common factor)

Multiplying the above ratio by three to make the quantity of minced beef 300 g

= 300:600:225:225

Thus, the quantity of chopped tomatoes is 600 g, the quantity of stock is 225 ml, and the quantity of red wine is 225 ml if Julie only has 300 g of minced beef.

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Answer:1/4

Step-by-step explanation:

The positive exponent for the given expression is [tex]\frac{1}{4^6}[/tex].

The given expression is [tex](4^{-2})^3[/tex].

A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.

The given expression can be simplified as follows

[tex](4^{-2})^3[/tex] = [tex]4^{-2\times3}=4^{-6}[/tex]

So, the positive exponent = [tex]\frac{1}{4^6}[/tex]

Therefore, the positive exponent for the given expression is [tex]\frac{1}{4^6}[/tex].

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Answer:

Explanation:

Here, we want to determine the type of correlation relationship

From science, we understand that engaging in exercise helps internal organs to function better. These are the sources of endurance

Exercising for a couple of more times, all things being equal means there will be more endurance. We can largely say that, for most people, it is expected that the higher the number of time spent exercising, the higher the endurance being built

Thus, we can conclude there is a positive correlation between the two

SOLUTION

Consider the image given below.

From the image above,

To find the measures of each angle, we need to obtain the value of small x in the diagram.

Applying the rule: Sum of angle in a triangle is 180 degrees

Then substitute the given expression, we have

Collect like terms and add

Divide both sides by 6, we have

hence, x=30

Then substitute the value of x to obtain the measure of each angles.

Since the triangle is an issoceles triangle, then

Hence

Therefore

Answer : ∠V= 28°, ∠W=28°, ∠X=124°

Answer:

C. 1/2

Hope this helps!

[tex]\boxed{\boldsymbol{\sf{5\frac{1}{3}\times4\frac{5}{6} }}}[/tex]

Multiply 5 and 3 to get 15.

[tex]\boxed{\boldsymbol{\sf{\dfrac{15+1}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Add \ [15+1]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Multiply \ [4*6+5]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{29}{6}\right) }}}[/tex]

Convert fractions prior to fractions with equal denominators.

[tex]\boxed{\boldsymbol{\sf{\frac{32}{6}-\dfrac{29}{6}=\frac{32-29}{6}=\frac{3}{6}=\dfrac{3\div3}{6\div3}=\frac{1}{2} }}}[/tex]

Answer:

-11

Step by step explanation:

-11+23=12

The graph that is hardest to write the transformation using algebraic notation is the second top graph counting from left to right

A graph is a pictorial representation of data

A transformation is a movement that can be represented in a cartesian plane.

There several types of movement involved in transformation, some of them are:

The first top graph counting from the left is a translation to the left.

The first graph at the bottom counting from the left is a translation downwards

The next bottom graph is reflection along x axis and translation downwards

The most difficult which is the second at the top counting from left involves dilation.

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Using the Pythagorean Theorem formula, the measurement of the unknown side (base) is 12 units.

According to the Pythagorean Theorem formula, c² = √a²+b², where c = hypotenuse, a = perpendicular, and b = base.

The hypotenuse is the longest side of a right triangle.

The shortest side is the perpendicular (adjacent side) while the other side is the base (opposite side).

Since the hypotenuse is given as equal to the square root of perpendicular squared and the base squared, we can compute the base, unknown side, using the following Pythagorean Theorem formula.

c² = √a²+b²

The perpendicular (shortest side) of a right triangle = 5

The hypotenuse (longest side) = 13

c² = √a²+b²

169 = √5²+b²

169 = √25 + b²

The base (unknown side):

b² = 169 - 25

b² = 144

The square root of √144 = 12

b = 12

Thus, the unknown side of the right triangle is the base, measuring 12 units.

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The length of the unknown side is 12 units, which is the base of the right triangle.

The right triangle's perpendicular (shortest side) = 5 units

The right triangle's hypotenuse (longest side) = 13 units

According to the Pythagorean Theorem,

H² = P² + B², Where H = hypotenuse, P = perpendicular, and B = base.

As per the given question, here H = 13 and P = 5

Substitute the values of H = 13 and P = 5 in the Pythagorean Theorem,

(13)² = (5)²+ B²

169 = 25 + B²

B² = 169 - 25

B² = 144

B = √144

B = 12 units

Therefore, the length of the unknown side is 12 units,

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A parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is the population mean.

The population mean can be determined by dividing the total number of values in the given data/population by the sum of all values in the data/population. The whole sum of the numbers is referred to as summation. The μ sign stands for the population mean.

The average calculated from the entire group, distribution, or population is known as the population mean. It is calculated by dividing the sum of all population variables by the total population of variables. Here, μ exists the population mean. ∑X exists the sum of all the observations in the population.

The population mean is a quantity that expresses the population's overall degree of individual variation, which is often unknown.

Therefore, the correct answer is option c) the population mean.

The complete question is:

a parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is group of answer choices the (true) standard error.

a) the sample standard deviation.

b) the estimated standard error.

c) the population mean.

d) the population standard deviation.

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Polynomial function of least degree having real coefficient with given leading coefficient 1 and having zeros 3, 4 +i is equal to x³ -11x² +41x -51.

As given,

Standard form of the polynomial function:

f(x) = r(x-a)(x-b)(x -c)

r : leading coefficient

a, b, c are zeros

Polynomial function of least degree having real coefficient with given leading coefficient 1 and having zeros 3, 4 +i is given by

f(x) = 1(x -3) (x -(4+i))(x - (4-i))

⇒ f(x) = (x -3) (x-4 -i)(x -4 +i)

⇒ f(x) = (x-3) [(x-4)² -i²]

⇒f(x) = (x-3)(x² -8x +16+1)

⇒f(x) =(x-3)(x² -8x+17)

⇒f(x) = x³-11x² +41x-51

Therefore, polynomial function of least degree having real coefficient with given leading coefficient 1 and having zeros 3, 4 +i is equal to

x³ -11x² +41x -51.

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Let the total number students be s. Then

s = 3 + 5 + 2= 10

x | Number of students(n) | Pr(x) | xPr(x)

---------------------------------------------------------------------------------

76 | 3 | 0.3 | 22.8

---------------------------------------------------------------------------------

79 | 5 | 0.5 | 39.5

--------------------------------------------------------------------------------

175 | 2 | 0.2 | 35

--------------------------------------------------------------------------------

Therefore, the expected value of x is 97.3

Volume of the cone = 50.29 mm³

radius = r = ?

height = 3mm

slant height = 5mm

To get the radius, we would apply pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

hypotenuse = 5mm

opposite = 3mm

adjacent = radius = ?

5² = 3² + radius²

25 = 9 + radius²

25 - 9 = radius²

16 = radius²

radius = √16

radius = 4