Given the figure below, find the values of x and z.

The normal range using a compound inequality is 1.5 < x < 4

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

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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Answer:

The answer is the last one

Step-by-step explanation:

\(13 ^ \frac{3}{5} \)

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

G. 6 months

Step-by-step explanation:

1. 495-165 to remove the one-time payment = 330

2. 330/55 to find the number of months = 6

Barbara receive 6 months of dance lessons from Dance Unlimited

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, Barbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165.

Let m be the no of months and f(m) is the total cost.

∴ f(m) = 55m + 165.

The equation represents the $495 total cost,

∴ 495 =  55m + 165.

55m = 330.

m = 330/55.

m = 6.

Barbara receives 6 months of dance lessons from Dance Unlimited.

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9514 1404 393

Answer:

Step-by-step explanation:

Neither linear nor exponential functions have a "wiggle" in their graph, so the piece in the region x < 0 is polynomial.

The piece in the interval [0, 3] is concave upward and has increasing slope. It could be polynomial, but is most likely the exponential piece of the function.

For x > 3, the function is linear.

There are no gaps in function value where the transition is made from one piece to another, so the function is continuous.

The function tends upward at the right side of the graph. It tends downward at the left side of the graph. This tells you the sign of the infinity they tend toward matches the sign of the infinity x tends toward.

__

On the interval [0, 3], h(x) is represented by an exponential function.

H(x) is a continuous function.

As x approaches +∞, h(x) approaches +∞.

As x approaches -∞, h(x) approaches -∞.

Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

Answer:

A. X= -4

Step-by-step explanation:

8x-3=5(2x+1)

8x-3=10×+5

-3=2×+5

-8=2x

x=-4

Answer:

A: x=-4

Step-by-step explanation:

8x - 3 = 5(2x + 1)

8x - 3 = 10x + 5

-3 = 2x + 5

-8 = 2x

x = -4

The required average speed of the ball is given as 10.9 meters per second.

Given that,
Johnny kicks a rugby ball through the posts from 60 meters away. The ball takes 5.5 seconds to travel from his foot to the posts. What was the ball’s average speed is to be determined.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Speed = distance/time
Speed = 60 / 5.5
Speed = 10.9

Thus, the required average speed of the ball is given as 10.9 meters per second.

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Answer:

it will take him 44 minutes

Step-by-step explanation:

20 minutes / 5 pages = 4 minutes per page

4 minutes per page * 11 pages = 44 minutes

Answer:

I am not exactly sure but it is around 170p

Step-by-step explanation:

Answer:

We can use three solution and they are

(1)completing the square

(2)quadratic formula

(3) factorisation method

The quadratic equation 2x^2 - 4x = -2 has  two values .

   (1)completing the square

   (2)quadratic formula

   (3) factorization method

Given,

           quadratic equation 2x^2 - 4x = -2

                   2x² - 4x + 2 =0

Now solve this equation by factor,

                    2x² - 4x + 2 = 0

                    2x² - ( 2+2)x +2 = 0

                    2x² - 2x -2x + 2 = 0

                    2x(x- 1 ) -2 ( x -1) = 0

                    (2x - 2) ( x- 1) =0

                  2x - 2 = 0   or  x - 1 = 0

                   x = 1 or x = 1

So, this equation has 2 value of x.

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Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

Answer:

116.

Step-by-step explanation:

Your welcome <3.

Answer:

116

Step-by-step explanation:

Answer:

Step-by-step explanation:

Relax this isn't really that hard. We're given a triangle with coordinates

X(4,4), Y(12,12), Z(4,12)

and we're told to dilate it around the origin by scale factor 1/4.   The origin part makes it easy; this just means we multiply all the coordinates by 1/4.

So our new triangle is

X'(1,1), Y'(3,3), Z'(1,3)

which we plot in red.

Is that third page asking for the lengths?  We have

X'Y' is the hypotenuse of a right triangle with legs 2 and 2, so

|X'Y'| = 2√2

|Y'Z'| is 3-1 = 2

|Z'X'| = 2

The rule is

(x,y) → (x/4, y/4)

Scale factors are used to enlarge or reduce the size of a shape

The coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

The coordinates of the triangle are given as:

\(X = (4,4)\)

\(Y = (12,12)\)

\( Z = (4,12)\)

The scale factor of dilation is given as:

\(k=\frac 14\)

The coordinates of the new triangle after dilation are calculated as follows:

\(X' = (4,4) \times \frac 14\)

\(X' = (1,1)\)

\(Y' = (12,12) \times \frac 14\)

\(Y' = (3,3)\)

\(Z' = (4,12) \times \frac 14\)

\(Z' = (1,3)\)

So, the dilation rule is:

\((x,y) \to \frac 14(x,y)\)

Hence, the coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

See attachment for the image of the triangle

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

Step-by-step explanation:

1. This paragraph describes an observational study.

It is not a controlled experiment because the guidance counselors didn't plan to separate the students into 2 groups and then observe the results. They instead checked records.

2. The students who took Latin are the treatment group.

3. The fact that students decided on their own to take Latin is a confounding factor.

4. The students who did not take Latin are the placebo or control group.

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

8 grams

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

dawg its b

Answer:

I'm not sure what the question was but I've worked out all the three types of trees

Step-by-step explanation:

⅓ + ⅕ = 8/15 because:

×5 ×3

5/15 + 3/15 = 8/15

therefore 7/15 is fig trees

90÷15 =6

6×5 = 30 apple trees

6×3 = 18 lemon trees

6×7 = 42 fig trees

Answer:

114 cents

Step-by-step explanation:

1. 66÷22=3 cents per inch

2. 3×38=114

3. 114 cents ($1.14) for 38 inches

The number of Cheetos you can buy in the supermarket is 7.

You have $16 and a coupon for a five dollar discount at a local

supermarket . One bag of hot Cheetos cost 3 dollars. Therefore, the

number  of bag of Cheetos you can buy can be calculated as follows:

Therefore, altogether he has 16 + 5(coupon discount)  = 21 dollars to spend

in the super market.

Therefore,

number of Cheetos worth 3 dollars one can buy = 21 / 3

number of Cheetos worth 3 dollars one can buy = 7

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Answer:

70°

Step-by-step explanation:

Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.

In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Answer:

4 5/8

Step-by-step explanation:

7 7/8= 63/8

3 1/4= 13/4= 26/8

63/8 - 26/8= 37/8

37/8= 4 5/8

Answer:

The mean speed of the automobiles traveling on this road is the closest to 64 miles per hour

Step-by-step explanation:

Given

\(\begin{array}{cc}{Speed} & {Frequency} & {45-55} & {50} & {55-65} & {325} & {65-75} & {275} & {75-85} & {25} \ \end{array}\)

Required

Calculate the mean

First, calculate the midpoint (x)

For 45 - 55: \(x = \frac{1}{2}(45+55) = 50\)

For 55 - 65: \(x = \frac{1}{2}(55+65) = 60\)

For 65 - 75: \(x = \frac{1}{2}(65+75) = 70\)

For 75 - 95: \(x = \frac{1}{2}(75+85) = 80\)

So, we have:

\(\begin{array}{ccc}{Speed} & {Frequency} & {x} & {45-55} & {50} & {50} & {55-65} & {325} & {60} & {65-75} & {275} &{70} & {75-85} & {25} &{80}\ \end{array}\)

The mean is then calculated as:

\(\bar x = \frac{\sum fx}{\sum f}\)

\(\bar x = \frac{50*50+325*60+275*70+25*80}{50+325+275+25}\)

\(\bar x = \frac{43250}{675}\)

\(\bar x = 64.07\)

\(\bar x = 64\) --- approximated