the pH of a liquid is measure of how acidic or basic it is. the concentration of hydrogen ions in a liquid is labeled [H+]. use the formula pH=-log[H+] to find the pH level, to the nearest tenth, of a liquid with [H+] about 4.3 x 10^-14
13.4
14.6
-13.4
-14.6

any other answers from the Exponential and Logarithmic functions unit test part one? really struggling, offering 20 points and brainliest

Answer:

y = - 3x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3

the line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

The linear graph represents the given parameter

For the graph, we have the points

(0, 7) and (25, 0)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 7

Using the point (2.5, 0) on y = mx + 7, we have

m(2.5) + 7 = 0

2.5m + 7 = 0

Evaluate

m = -2.8

So, we have

y = -2.8x + 7

Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

p=32

Step-by-step explanation:

Answer:

Step-by-step explanation:

p+19=51

p=51-19

p=32

Answer:

$24,445.00

Step-by-step explanation:

hope it helps

Answer:

141

Step-by-step explanation:

The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic.

The mean of the sampling distribution is np and the standard deviation is  \($\sqrt{np(1-p)}$\).

Round the standard deviation to three decimal places, it is \($\sqrt{np(1-p)}$ = $\sqrt{n \cdot p \cdot (1-p)} \approx \sqrt{n \cdot p \cdot 0.99}$\).

The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic. The mean of the sampling distribution is np and the standard deviation is \($\sqrt{np(1-p)}$\). This means that for a given sample size n and population proportion p, the standard deviation of the sampling distribution can be calculated by taking the square root of the product of n, p, and (1-p).

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The inequality in interval notation is  [ -1, ∞ ) from the given equation x ≥ - 3

Given data :

x ≥ - 3

x is greater than or equal to - 3, so - 3 is our smallest value of the interval so it goes on the left. Since there is no upper endpoint (it is ALL values greater than or equal to 3),

we put the infinity symbol on the right side. The boxed end on 3 indicates a closed interval.

In interval notation it is [ -1, ∞ )

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well, there are 3 feet per 1 yard, so we can say that the field is either

90 feet (30yd) by 48 feet

or

30 yards by 16 yards(48 feet)

90ft * 48ft = 4320 ft²

30yd * 16yd = 480 yd².

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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Answer:

diameter = 2(radius)

Step-by-step explanation:

not sure what your question is but the diameter of a circle is equal to 2 times the length of its radius

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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area =729 feet square and perimeter =  108 feet

Given the side of a square is 9 cm.

The scale is given as :

1 cm = 3 feet Since 1 cm represents 3 feet.

Therefore, 9 cm will represent = 9 x 3 feet= 27 feet

So the side of the square is 27 feet.Therefore, its area = Side x side= 27 x 27 = 729 feet square

And the perimeter =  4 x side= 4 x 27= 108 feet

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Answer:

Step-by-step explanation: 1 foot= 12 inches

so length 5.5 inches= 0.458 feet or 5.5/12

width 4 inches= 0.33 feet or 4/12

area 4x5.5= 1.833 feet or 22/12

Answer:

\(\boxed {\boxed {\sf 74}}\)

Step-by-step explanation:

The nth term of an arithmetic sequence can be found using the following formula.

\(a_n=a_1+(n-1)d\)

Where n is the term, a₁ is the first term, and d is the common difference.

We want to find the 21st term, we know the first term is -6, and the common difference is 4.

\(n= 21\\a_1= -6 \\d=4\)

Substitute the values into the formula.

\(a_{21}=-6+(21-1)4\)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve inside the parentheses.

\(a_{21}=-6+(20)4\)

Multiply 20 and 4.

\(a_{21}= -6+80 \\\)

Add -6 and 80.

\(a_{21}=74\)

The 21st term of the sequence is 74

Answer:

Here we will use the formula

\( \tt \: a_n \: = a_1 +( n - 1)\: \times d\)

\( \tt\: a_{21} = −6+(21−1)4\)

By using PEMDAS

\( \tt \: a_{21} = - 6 + (20)4\)

\( \tt \: a_{21} \: = - 6 + 80 = 74\)

\( \huge \tt \bigodot \: \: 74\)

Answer:

120 magazines

Step-by-step explanation:

1.15x = 138

x = 120 magazines before increase

Check:

before increase + increase = sold

120 + 120(.15) = 138

120 + 18 = 138

138 = 138

Step-by-step explanation:

In order to get the answer first you figure out the type of equation. In this case this is a linear equation, y=mx+b

The B or the y-intercept/base is the first step. Here, it says a fee of 14.50 is needed for each order.

The mx part will be the .08 cents needed for each copy.

y= .08x+14.50 is the equation....

The copies needed is 40 which is the x in the situation:

y=.08(40)+14.50....

.08 * 40 is 3.2 then add the base of 14.50 which is: 17.70 all together

In the given diagram, the area of the given rectangle is 36√5. The correct option is the third option 36√5

From the question, we are to determine the area of the given rectangle

Using the formula for calculating the area of a rectangle,

Area = l × w

Where l is the length

and w is the width

From the given diagram,

l = 6√10

w = 3√2

Thus,

The area of the rectangle is

Area = 6√10 × 3√2

Area = 6 × 3√10×2

Area = 18√20

Simplify further

Area = 18√4×5

Area = 18√4 × √5

Area = 18×2 × √5

Area = 36 × √5

Area = 36√5

Hence, the area is 36√5

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The expression {P(x) + Q(x)} − {R(x) + S(x)} is a zero polynomial.

From the question, we have the following polynomial that can be used in our computation:

P(x) = 2x² (x + 3) − (7x − 10)

Q(x) = 8(x − 1) (x² + x + 1) − 3x² + 4

R(x) = (2x + 1)² - (2x² + 7)

S(x) = 2(5x³+6) + x(x - 11)

Add the expressions P(x) and Q(x)

So, we have

P(x)  + Q(x) = 2x² (x + 3) − (7x − 10) + 8(x − 1) (x² + x + 1) − 3x² + 4

Evaluate

P(x)  + Q(x) = 10x³ + 3x² - 7x + 6

Add the expressions R(x) and S(x)

So, we have

R(x) + S(x) = (2x + 1)² - (2x² + 7) + 2(5x³+6) + x(x - 11)

R(x) + S(x) = 10x³ + 3x² - 7x + 6

So, we have

P(x) + Q(x)} − {R(x) + S(x)} = 10x³ + 3x² - 7x + 6 - (10x³ + 3x² - 7x + 6)

Evaluate

P(x) + Q(x)} − {R(x) + S(x)} = 0

Hence, the expression {P(x) + Q(x)} − {R(x) + S(x)} is a zero polynomial.

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The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.

To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.

The inclination represents the ratio of how much y changes with respect to x.

Equation: y = x + 3

In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.

This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.

Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.

Equation: 3x - 2y = 6

To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.

First, isolate y:

-2y = -3x + 6

Divide the entire equation by -2 to solve for y:

y = (3/2)x - 3

Now we can observe that the coefficient of x is 3/2.

This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.

The inclination can be expressed as 3/2.

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The transformation applied to the triangle is a rotation.

Here we have a transformation that maps the blue triangle into the orange one.

Remember that neither a translation nor a dilation change the orientation of the figure, so we can discard these two.

If it was a reflection, we should be able to find a line of symmetry between the two figures, and we can't do that here, then we can conclude that the transformation applied was a rotation.

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

Answer:

C

Step-by-step explanation:

To convert radians to degrees

degree = radian × \(\frac{180}{\pi }\) , then

\(\frac{3\pi }{2}\) × \(\frac{180}{\pi }\) ( cancel π on numerator/ denominator )

= \(\frac{3(180)}{2}\)

= \(\frac{540}{2}\)

= 270° → C

Answer: the answer is $63.14.

Step-by-step explanation:

I took the test and got it correct.

Answer:

$63.14

Explanation:

I got it right on the test

Answer:

Ron's ERA has a z-score of -2.03.

Karla's ERA has a z-score of -1.86.

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

Step-by-step explanation:

Z-score:

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.

Ron

ERA of 3.06, so \(X = 3.06\)

For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that \(\mu = 5.086, \sigma = 0.998\)

So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{3.06 - 5.086}{0.998}\)

\(Z = -2.03\)

Ron's ERA has a z-score of -2.03.

Karla

ERA of 3.28, so \(X = 3.28\)

For  the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that \(\mu = 4.316, \sigma = 0.558\)

So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{3.28 - 4.316}{0.558}\)

\(Z = -1.86\)

Karla's ERA has a z-score of -1.86.

Which player had the better year relative to their peers, Ron or Karla?

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

Answer: 39.9

Step-by-step explanation:

5% of 40 is 2.

40-2=38

1.9 is 5% of 38

38+1.9=39.9

I hope this helps