4. For a camping trip, each person packs 1.5 lb of food per day. Let p represent the number of people on the trip, and let f represent the total weight of food packed for each day. What is the independent variable in this relationship? Explain. I need this with explanation please:(​

Answers

Answer 1
The independent variable in this scenario is p, or the number of people on the trip. This is because the number of people on the trip is not influenced by another variable, whereas the opposite can be said for the total weight of food packed for each day. The total weight of the food packed highly depends on how many students there are

Related Questions

Measure the angle shown below. a protractor showing an angle going through the tenth tick mark after ten degrees 15° 17° 20° 22°

Answers

The value of the angle will be C. 20°

How to calculate the angle?

From the information given, it was stated that the protractor showed an angle going through the tenth tick mark after ten degrees.

This means the value of the angle will be:

= 10° + 10°

= 20°

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Simplify 7 1/5 5 A B C D

Answers

Answer:

C. 7

Step-by-step explanation:

The answer is 7. Use the power of a power property. To use it you have to multiply the power inside the parenthesis to the one outside of the parenthesis. 1/5 * 5 = 1. Since the power is 1, you do not need to write the power.

Hope this helps!

What is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result? entanglement factorization interference superposition i don't know this yet.

Answers

The term for breaking a number into smaller sections and multiplying these numbers is factorization.

What is factorization?

This is a common method used in math that implies breaking a big number into smaller ones and then multiplying the numbers. This multiplication should lead you to the original number.

What is an example of factorization?

120 can be broken as 12 and 10, then 12 × 10 = 120

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Select all the true statements. Logarithms may be used to linearize data. Powers may be used to linearize data. Roots may be used to linearize data. If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model. If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Answers

The true statements are:

Logarithms may be used to linearize data.

Powers may be used to linearize data. Roots may be used to linearize data.

If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.

Another format for writing exponents is in logarithms.

The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.

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Answer:

A.Logarithms may be used to linearize data.

B.Powers may be used to linearize data.

C.Roots may be used to linearize data.

E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Step-by-step explanation:

Yes

The ratio of boys and girls in a class with 40 students = 3:2. If 4 new boys are added, what will be the new ratio?

Answers

Answer: 7:4

Step-by-step explanation:

40 boys and girls 3:2 = 24 boys + 16 girls

4 boys are added  28 boys + 16 girls /4  = 7:4

Answer:

7:11

Step-by-step explanation:

We know the total number of students and the ratio of boys to girls.  The total for the ratio of boys and girls would be 5 (3+2).  Now we can set up proportions knowing these numbers.

b = 3

g =2

t =5

Let's find out how many actual boys there are by setting up a proportion

3/5 = b/40  

I will look at the denominators to find x.  5 times what gives me 40? (8).  So, I will multiple the top number (numerators).  Since I need to multiple the bottom number by 8 to get the number 40, I will now multiple the top number by 8 and get 24.

Now, I know how many actual boys and girls were in the original class.  There were 24 boys, 16 girls (40 - 24) and 40 total students.  

Now I will take this new information and apply it to the new situation.  Now I have 28 boys (24 + 4) and a new total 44.

The ratio of boys to girls would not be 28: 16 or 7:4

I NEED THE ANSWER TO D please provide

Answers

Answer:

y = 2/5x -4

Step-by-step explanation:

Point-Slope Form formula

y - y1 = m (x - x1)

slope = m = 2/5

(-5, -6)

y - -6 = 2/5 (x - -5)

y + 6 = 2/5x + 2

y = 2/5x - 4

patrickJMT

Find the volume of the composite figure. Round to the nearest tenth if necessary.

Answers

The volume of the composite figure is of 425 m³.

What is the volume of a prism?

The volume of a prism is given by the base area multiplied by the height.

In this problem:

For the top figure, the base is a square with 5m, with height of 13m.For the bottom figure, the base is a square with 5m, with height of 4m.

Hence the volume in m³ is:

V = 5² x 13 + 5² x 4 = 25 x 17 = 425 m³.

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Where is the horizontal center of mass of the entire upper extremity?

Answers

Answer:

can you tell me please

Step-by-step explanation:

nicest

Someone please answer this for me (Algebra 2)

Answers

Using division of fractions, the equivalent expression is:

B. [tex]\frac{4}{d - 6}[/tex].

How to divide fractions?

To divide two fractions, we multiply the first by the inverse of the second.

In this problem, we have that:

The first fraction is: [tex]\frac{2d - 6}{d^2 + 2d - 48} = \frac{2(d - 3)}{(d + 8)(d - 6)}[/tex].The second fraction is: [tex]\frac{d - 3}{2d + 16} = \frac{d - 3}{2(d + 8)}[/tex].

Applying the multiplication, we have that:

[tex]\frac{2(d - 3)}{(d + 8)(d - 6)} \times \frac{2(d + 8)}{d - 3} = \frac{4}{d - 6}[/tex].

Hence option B is correct.

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Arrange the tiles on both boards to find the value of x.
Board sum: 3x + (-5) = 1
What x value solves the equation?
3x - 5 = 1
X =

Answers

Answer:

3x-5=1

3x=5+1

3x=6

x=6/3

x=2

What is the area of the shaded portion of the figure? Express your answer in terms of pi.
с
A
F
OA. 56 T
OB. 22 T
728
Oc.
45
π
112°
OD. 56 T

E
B
AE = 4 cm
AB= 6 cm

Answers

The given radii of 4 and 6 and the sector angle of 112°, gives;

[tex] C.\: \frac{56 \cdot \pi}{9} [/tex]

How can the measure of the shaded portion be found?

The possible figure that relates to the question can be described as follows;

Two concentric circles having radii of AE = 4, and AB = 6, respectively.

Sector of the circles formed by lines AC and AB, with angle of sector = 112°

The shaded portion is described by arcs FE and CB

Therefore;

Area of the sectors are found as follows;

[tex]AFE = \frac{112 ^\circ}{360 ^\circ} \times \pi \times {4}^{2} = \frac{224 \cdot \pi}{45} [/tex]

[tex]ACB = \frac{112 ^\circ}{360 ^\circ} \times \pi \times {6}^{2} = \frac{56 \cdot \pi}{5} [/tex]

Area of the shaded portion, A is therefore;

[tex] A= \frac{56 \cdot \pi}{5} - \frac{224 \cdot \pi}{45} =\frac{56 \cdot \pi}{9} [/tex]

[tex] Shaded \: area, \: A= \frac{56 \cdot \pi}{9} [/tex]

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A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled and tested, by being used for one month, under standardized conditions that mimic typical operating conditions. Calculate the probability that the number of tested rafts that develop cracks is no more than 3. Round your answer to four decimal places.

Answers

The probability that the number of tested rafts that develop cracks is no more than 3 is .00006.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is .00006.

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At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in
the first two columns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry. Write the ordered pair for the
corresponding terms in the third column. Then graph the ordered pairs.

I need to make a sequence for the cost of braclets (in dollars) and I also need to make an sequence for the cost of necklaces (in dollars)
please help :)

Answers

The sequence for the cost of bracelet in dollars = $0, $3, $6, $9 and $12.

Also the sequence for the cost of necklace is = $0, $6, $12, $18, $24.

Calculation of the various cost sequence

The column given concerning the products contains the following amounts of products such as 0, 1, 2, 3, and 4 pieces.

Therefore to calculate the amount to be used to buy each product of bracelet and necklace in each column multiplication is carried out.

That is, 0×3, 1 ×3, 2×3, 3×3, and 4×3

which is = $0, $3, $6, $9 and $12 respectively for the bracelet.

0×6, 1 ×6, 2×6, 3×6, and 4×6

Which is = $0, $6, $12, $18, $24. respectively for the necklace.

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how meny grams are in 6 ounces?

Answers

Answer:

170.097 grams are in 6 ounces

Answer:

170.097 g to nearest thousandth

Step-by-step explanation:

1 ounce = 28.34952 g

6 = 170.09712 g

Can some please help

Answers

Number of rooms left excluding a quarter of 140 is: 105 rooms.

What is a Quarter of a Number?

A quarter is one-fourth. A quarter of a number is therefore, one-fourth of that number or 1/4 part of the number.

Therefore, number of rooms cleaned = 1/4(140) = 35.

A quarter of the 140 rooms is: 35.

Number of rooms left for cleaning in the afternoon = 140 - 35

Number of rooms left for cleaning in the afternoon = 105 rooms.

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ƒ(1) = −16 [ƒ(1)
f(n) = -29 - f(n-1)
what is f(2)=​

Answers

Answer:

  f(2) = -13

Step-by-step explanation:

Evaluate the given formula with the given value of the variable.

Application

  f(1) = -16 . . . . . . . . . . given

  f(n) = -29 -f(n-1) . . . . given

For n = 2, we have ...

  f(2) = -29 -f(2-1) = -29 -f(1) = -29 -(-16) . . . . put 2 in place of n and evaluate

  f(2) = -13

Which equation represents a line that passes through the two points in the
table?

Answers

The answer is B. Always substitute your answer to get it.

A group of friends wants to go to the amusement park. They have no more
than $325 to spend on parking and admission. Parking is $11, and tickets cost
$39.25 per person, including tax.

Answers

Considering the definition of an inequality, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that:

A group of friends have no more than $325 to spend on parking and admission. Parking is $11Tickets cost $39.25 per person, including tax.

Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is

39.25 p + 11 ≤ 325

Solving:

39.25 p ≤ 325 -11

39.25 p ≤ 314

p ≤ 314÷ 39.25

p ≤ 8

Finally, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

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In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie theater, if the total number of seats in the theater is 884?

Answers

Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

A distribution of probabilities for random outcomes of a bivariate or dichotomous random variable is called a Group of answer choices binomial probability distribution distribution of expected values random variable distribution mathematical expectation

Answers

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

What is a binomial probability distribution?The binomial distribution with parameters n and p in probability theory and statistics is the discrete probability distribution of the number of successes in a succession of n separate experiments, each asking a yes-no question and each with its own Boolean-valued outcome: success or failure.The binomial distribution is widely used to describe the number of successes in a sample of size n selected from a population of size N with replacement. If the sampling is done without replacement, the draws are not independent, and the resulting distribution is hypergeometric rather than binomial. Binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.

As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.

Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

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Complete question:

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.

Group of answer choices

(A) binomial probability distribution

(B) distribution of expected values

(C) random variable distribution

(D) mathematical expectation

The plane is tiled by congruent squares of side length $a$ and congruent pentagons of side lengths $a$ and $\frac{a\sqrt{2}}{2}$, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58

Answers

The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.

How to determine the percentage?

Since the side of the small square is a, then the area of the tile is

given by:

Area of tiles = 9a²

Note: With an area of 9a², 4a² is covered by squares while 5a² by pentagons.

This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:

Percent = 5/9 × 100

Percent = 0.555 × 100

Percent = 55.5 56%.

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Complete Question:

The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58

Find the equation of a circle centered on the origin going through the point (-5,3)

Answers

The given center and point on the circle of (0,0) and (-5, 3), respectively

gives the equation of the circle as [tex]x^{2} +y^{2} =\sqrt{34}[/tex].

The general form of the equation of the circle is presented as follows

(x - h)² + (y - k)² = r²

Where,(h, k) is the center of the circle and r is the radius of the circle

Here (h, k) is centered about the origin and the radius of the circle

Radius of the circle = √[(-5-0)² + (3-0)²]

= √(25+9)

=√34.

The equation of a circle centered on the origin going through the point (-5,3)

[tex]x^{2} +y^{2} =\sqrt{34}[/tex]

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what is the maximum number of relative extrema contained in the graph of this function ? F(x) = 3x^4 - x^2 + 4x - 2

Answers

The maximum number of relative extrema of the given polynomial is; 3

How to find the maxima of a Polynomial Function?

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

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Male bullies are often: Question 5 options: below average in verbal assertiveness. above average in verbal assertiveness. above average in size. smaller than average in size.

Answers

above average in verbal assertiveness

Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −3x^2 + 150 − 1200, where x is the amount he charges per tree.

1. How much does he need to charge if he wants to break even?
2. How much does he need to charge if he wants to make a profit of $600?

Answers

He need to charge 24$ per tree if he wants to make a profit of $600.

According to statement

Noah knows that his profit, P, in dollars, are P= −3x^2 + 150 − 1200.

Now, we find the value of x when the profit is $600

Where X represent the Amount he charges per tree.

The given equation is P= −3x^2 + 150 − 1200.

Substitute the value of p is $600 in the above written equation

Then

600 = −3x^2 + 150 − 1200.

After solving the equation by a substitution method the value of X becomes

600+1200-150 = -3(x)^2

x = (1650/3)^1/2

x= 24$

it means the charge per tree is 24$.

So, He need to charge 24$ per tree if he wants to make a profit of $600.

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A swimming pool is 10 m wide and 25 m long. It is 1.2 m deep at one end and 2.2 m deep at the other end. The floor slopes uniformly from one end to the other.
a)Explain why the shape of the pool is a prism. 1.2 m
b)The pool is filled with water at a rate of 2 m³ per minute. How long will it take to fill the pool?

Answers

At a rate of 2 m³ per minute, it would take 212.5 minutes to fill this swimming pool.

The shape of the pool.

Based on the information provided, we can logically deduce that the shape of this pool is a prism because it is deep (2.2 m) at one end and shallow (1.2 m) at the other end.

How to calculate the time?

First of all, we would determine the volume of this swimming pool as follows:

Volume = 1/2 × (1.2 + 2.2) × 10 × 25

Volume = 1/2 × (3.4) × 250

Volume = 1.7 × 250

Volume = 425 m³.

For the time, we have:

Time = volume/rate

Time = 425/2

Time = 212.5 minutes.

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helpppppppp. look at pic

Answers

Answer:

h (1) = $140

Step-by-step explanation:

10x + 150

-10     -10

150-10

=140

so the answer must be $140

So it is definitely the first one

H(12)=$270

10 points to you if you help me
and brainlyist

Answers

Answer:

Step-by-step explanation:

For the frequency distribution, count the numbers that satisfy each category.

79 to 83: 4 (81, 82, 83, 81)

84 to 88: 3 (87, 88, 86)

89 to 93: 7 (92, 93, 93, 93, 90, 90, 91)

94 to 98: 1 (97)

For the historagram, raise the bars at the bottom of the histogram to the numbers above (4, 3, 7, 1; in this order)

HELPPPPPPPPPPPPP99 n

Answers

Answer:

555 meters

Step-by-step explanation:

toymaker = height/shadow

= 0.9/0.2

CN tower = height/shadow

= x/123.3

solve for x:

;[tex]\frac{0.9}{0.2} = \frac{x}{123.3} \\\\0.2(x) = (0.9)(123.3)\\0.2x = 110.97\\(\frac{10}{2} )\frac{2}{10}x = 110.97(\frac{10}{2})\\ x = 554.85[/tex]

They are all in meters, so we don't need to convert anything so rounded to the nearest meter, the answer is 555 meters

Answer: 555 m

Step-by-step explanation:

       We will set up a proportion to solve.

[tex]\displaystyle \frac{\text{vertical side}}{\text{horizontal side}} \;\;\;\;\;\;\;\frac{0.9\;m}{0.2\;m} =\frac{x\;m}{123.3 \;m}[/tex]

    Now we will cross multiply.

0.9 * 123.3 = 0.2 * x

110.97 = 0.2x

554.85 = x

x = 554.85

    Lastly, we will round the nearest m.

554.85 ➜ 555 m

what is x and y? i am having trouble finding what x and y are

Answers

Answer:

x = 10

y =10√2

Step-by-step explanation:

45° - 45° - 90° triangle:

 The ratio of the sides of 45°- 45° - 90° triangle is a : a :  a√2

The side opposite to angle 45°  is a

a = 10

⇒ x =  a

  [tex]\sf \boxed{\bf x = 10}[/tex]

The side opposite to 90° is a√2

  y = a√2

    = 10√2

[tex]\sf \boxed{\bf y= 10\sqrt{2}}[/tex]

Answer:

y = 14.1 or 10√2

Step-by-step explanation:

is an isosceles right triangle, so x = 10

to find y we use pythagoras

y = √(10²+10²)

y = √200

y = 14.1 or 10√2

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In Guatemala, people make giant rugs on the streets with flowers and dyed sawdust. The parades walk over these rugs, called alfombras.CimburijadaPeople in Bosnia celebrate Cimburijada. Cimburijada means the Festival of Scrambled Eggs. This occurs on March 21st, the first day of spring. In the town of Zenica, people scramble more than 1,500 eggs to share with the whole town. Everyone gathers to eat together.Cherry Blossom FestivalsJapan and South Korea celebrate cherry blossom trees. Every spring, thousands of cherry blossom trees bloom near the end of March. Japan and South Korea both have cherry blossom festivals to honor these special trees. Japanese people call these pink, flowery trees sakura. They like to have picnics and parties under the sakura trees.NowruzPeople in Iran and parts of Central and South Asia celebrate Nowruz, which means New Day. It is the beginning of the Persian New Year. The Persian New Year begins when spring begins. People clean their homes for Nowruz and buy new clothing. They also visit people they love and eat customary foods.Tulip FestivalsMany countries around the world have tulip festivals. Tulips are bright flowers that can bloom in many colors. Millions of people visit festivals in the United States in Skagit Valley, Washington, and Holland, Michigan every year. Australia has a Tulip Time festival, too. Since Australia is in the Southern part of Earth, their festival begins in September.Different cultures celebrate spring in a variety of ways. Nevertheless, all people around the world appreciate the arrival of warm weather, blossoming flowers, and the opportunity to spend time together.Question: Which items, mentioned in the passage, can bloom?A Pasos and alfombrasB Sakura and tulipsC Water and colorful powdersD Eggs and cherries Determine the unknown length or angle measurement. Round each answer to the nearest whole number. One would expect well-drained soils to have the highest organic matter contents where the climate is? PLEASE HELP!! ...It's Urgent Please help me :(excerpt from We Shall Fight on the Beachesby Winston ChurchillBritish prime minister Winston Churchill addressed Britains Parliament during World War II when the country was facing a potential invasion by Germany. The following excerpt is from the end of that famous speech.Even though large tracts of Europe and many old and famous States have fallen or may fall . . . , we shall not flag or fail. We shall go on to the end, we shall fight in France, we shall fight on the seas and oceans, we shall fight with growing confidence and growing strength in the air, we shall defend our Island, whatever the cost may be, we shall fight on the beaches, we shall fight on the landing grounds, we shall fight in the fields and in the streets, we shall fight in the hills; we shall never surrender . . .1Select the correct answer from the drop-down menu.Read the excerpt. Then choose the correct way to complete the sentence.The rhetorical appeal found in this excerpt of the speech is . The options to this questions are... A. pathos, because it appeals to audience's feelings of unity of patriotism.B. logos, because Churchill describes the military preparations Britain has already made.C. ethos, because Churchill reminds his audience of his qualifications to lead during this crisis.D. ethos, because it appeals to the moral argument for fighting Germany. What is the best way to test if your vehicle's spring brakes come on automatically?a. Continue to step on and off the brake pedal until the manufacturer's low psi specification has been met for spring brakes to deploy.b. On tractor--trailer vehicle, continue to step on and off the brake pedal until the parking brake valve pops out. c. On single vehicles, continue to step on and off the brake pedal until the parking brake valve pop out.d. All of the above. 1.______ language is the ability to understand whats said.2. When babies handle objects, they learn that they canmake something happen. This helps them begin tounderstand and _______.3. Caregivers can encourage language development by _____to the baby.4.______ is the ability of an infant to understand whenan object is present even if he or she can't see it.5. Language development and thinking ability are _______.6. Toddlers gain self-confidence when they _______.Caregivers should expect toddlers to _______.7.Caregivers should help children select television programs to watch and _______ the time they spend in this activity.8. Superhero and fantasy play should be tempered with discussing the differences between _______ and reality. Regardless of the mode used for the growth of a firm, entrepreneurs need to be good negotiators.A. TrueB. False Which two events in britain indirectly influenced the american revolution? enlightenment philosophers established which two of the following ideas? The segment below is dilated by a scale factor of 22 to form I J What is the measure of I J ?