Mathematics College

View the image below and solve.

Answers

Answer 1

3.78 times 18 and then minus it by 65

Related Questions

The cost of 4 tables and 3 chairs is $695. If the table costs $25 more than the chair, find the cost of a
table.

Answers

Answer:

110 bucks

Step-by-step explanation:

4t+3c=695

c=t-25

4t+3(t-25)=695

7t=770

t=110

Use what you know about scientific notation to write the number -20,000 with a power of 10.
- 20,000
- 20,000=
(Type your answer in scientific notation using the appropriate symbol from the math palette for any multiplication.)
Help me solve this View an example Get more help.
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The scientific notation to write the number -20,000 with a power of 10.

The scientific notation to write the number -20,000 with a power of 10 is -2 ×10⁴.

Given that

The number is -20,000

To find

We have to find the scientific notation form of number -20,000

So, according to the question

We have

The number = -20,000

For finding the scientific notation form of given number, first we have to know about scientific notation with a power of 10.

Scientific notation with a power of 10

To write any number with the help of power of 10 in very easy way is telling Scientific notation with a power of 10 . Because in that universe there is a lots of smallest and largest number present, so we can't write every numbers in single page. To write that numbers in very easy way the scientists was create a way to write that numbers with the help of power of 10.

So, now we can convert that number in a form of Scientific notation.

n = -20,000

Now multiply [tex]\frac{10^4}{10^{4}}[/tex], we will get

n = -20,000 × [tex]\frac{10^4}{10^{4}}[/tex]

n = [tex]\frac{-20,000\times 10^4}{10000}[/tex]

n = - 2× 10⁴

The scientific notation with the power of 10 form of -20,000 is - 2× 10⁴.

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URGENT!!⚠️
a local record store invested $400,000 in charitable trust fund so that they can offer scholarships to their employees. the interest rate is 4.2% compounded quarterly. how much interest is available from the trust fund for the scholarships each year?

Answers

Answer:

I am here to help!

Step-by-step explanation:

if it's each year won't the company have 168k?

Solve.
13. A rectangular picture frame has the dimensions shown in
the figure. Write a polynomial that represents the perimeter
of the frame.
5x-2
3x+1

Answers

Answer:

(5x-2)^2+(3x+1)^2

Step-by-step explanation:

A quadratic function is shown on the graph.

a downward opening parabola beginning with open circle at negative 3 comma negative 7 increasing to a vertex at 0 comma 2 and then decreasing to a closed circle at 2 comma negative 2

What is the range of the function?

{y | −7 < y ≤ 2}
{y | −7 ≤ y ≤ 2}
{x | −3 ≤ x ≤ 2}
{x | −3 < x ≤ 2}

Answers

The range of the quadratic function is shown on the graph.is {x | −3 ≤ x ≤ 2}

What is a quadratic function ?

A quadratic function is a type of function that has polynomials, if the polynomial in a quadratic function is of degree two then the polynomial is said to be quadratic. we can therefore say that quadratic functions are a special type of polynomials with a power of 2

The graph of a quadratic function is represented by a curve opening upward or downward, it may also open sideways depending on ow the values are chosen.

The range are the input values, they are on the x axis. Form the description of the graph the range is fount to be {x | −3 ≤ x ≤ 2}

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Let [tex] \rm\hat{i}, \hat{j} \: and \: \hat{k} [/tex] be the unit vector along the three positive coordinate axes. Let [tex] \rm\overset{ \to}a = 3 \hat{i} + \hat{j} - \hat{k} ,\\ \rm \overset{ \to}b = \hat{i} + b_{2} \hat{j} + b_3\hat{k}, \: \: \: \: \: \: \: b_{2}, b_{3} \in \mathbb{R}, \\ \rm\overset{ \to}c= c_{1} \hat{i} + c_{2} \hat{j} + c_3\hat{k}, \: \: \: \: \:c_{1},c_{2}, c_{3} \in \mathbb{R}[/tex]
be three vectors such that [tex] \rm b_2b_3 > 0, \overset{ \to}a \cdot\overset{ \to}b = 0[/tex] and [tex] \left(\begin{gathered} 0& \rm - c_{3} & \rm c_{2} \\ \rm c_{3}& \rm 0 & \rm - c_{1} \\ \rm - c_{2}& \rm c_{1} & \rm 0 \end{gathered} \right) \left(\begin{gathered} 1 \\ \rm b_{2} \\ \rm b_3\end{gathered} \right) = \left(\begin{gathered} \rm3 - c_{1} \\ \rm 1 - c_{2} \\ \rm - 1 - c_3\end{gathered} \right)[/tex]
Then which of the following is true

[tex] \rm(1) \: \overset{ \to}a \cdot\overset{ \to}c = 0 \\ \rm(2) \: \overset{ \to}b \cdot\overset{ \to}c = 0 \\ (3) \: \overset{ \to}{| \rm b|} > \sqrt{10} \\(4) \: \overset{ \to}{| \rm c|} \leq \sqrt{11}[/tex]

Answers

Computing the matrix product in the last condition gives a system of linear equations in the components of [tex]\vec c[/tex],

[tex]\begin{cases} c_1 + b_3c_2 - b_2c_3 = 3 \\ -b_3c_1 + c_2 + c_3 = 1 \\ b_2c_1 - c_2 + c_3 = -1 \end{cases}[/tex]

and is easily solvable to get

[tex]c_1 = \dfrac{6-2b_3}{2+{b_2}^2+{b_3}^2}, c_2 = \dfrac{2+3b_3}{2+{b_2}^2+{b_3}^2}, c_3 = \dfrac{9-3b_3}{2+{b_2}^2+{b_3}^2}[/tex]

or, using the condition [tex]\vec a\cdot\vec b = 3 + b_2 - b_3 = 0[/tex],

[tex]c_1 = -\dfrac{2b_2}{11 + 6b_2 + 2{b_2}^2}, c_2 = \dfrac{11+3b_2}{11+6b_2+2{b_2}^2}, c_3 = -\dfrac{3b_2}{11+6b_2+2{b_2}^2}[/tex]

• (1) is false, since

[tex]\vec a \cdot \vec c = \dfrac{11}{2 + {b_2}^2 + {b_3}^2} \neq 0[/tex]

because [tex]{b_2}^2+{b_3}^2\ge0 \implies 0<\vec a\cdot\vec c\le\frac{11}2[/tex].

• (2) is true.

[tex]\vec b\cdot \vec c = \dfrac{(3 + b_2 - b_3) (2 + 3b_3)}{2 + {b_2}^2 + {b_3}^2} = \dfrac{(\vec a\cdot\vec b)(2+3b_3)}{2+{b_2}^2+{b_3}^2} = 0[/tex]

• (3) is false. The magnitude of [tex]\vec b[/tex] could be smaller than √10.

Since [tex]\vec a\cdot\vec b=0[/tex], we have

[tex]\|\vec b\| = \sqrt{1 + {b_2}^2 + (3+b_2)^2} = \sqrt{10 + 6b_2 + 2{b_2}^2}[/tex]

and

[tex]2{b_2}^2 + 6b_2 = 2\left({b_2}^2 + 3b_2 + \dfrac94\right) - \dfrac{18}4 = 2\left(b_2 + \dfrac32\right)^2 - \dfrac92 \ge - \dfrac92[/tex]

which is to say, [tex]\|\vec b\| \ge \sqrt{10-\frac92} = \sqrt{\frac{11}2}[/tex].

• (4) is true.

We have

[tex]\|\vec c\| = \dfrac{\sqrt{11} \sqrt{11 - 6b_3 + 2{b_3}^2}}{2 + {b_2}^2 + {b_3}^2}[/tex]

In terms of [tex]b_2[/tex] alone,

[tex]\|\vec c\| = \dfrac{\sqrt{11}\sqrt{11 + 6b_2 + 2{b_2}^2}}{11+6b_2+2{b_2}^2} = \dfrac{\sqrt{11}}{\sqrt{11+6b_2+2{b_2}^2}}[/tex]

Now,

[tex]11 + 6b_2 + 2{b_2}^2 = 2\left(b_2+\dfrac32\right)^2 + \dfrac{13}2 \ge \dfrac{13}2[/tex]

which means

[tex]\|\vec c\| \le \dfrac{\sqrt{11}}{\sqrt{11 + \frac{13}2}} \le \sqrt{11}[/tex]

9x{[14÷2+(4‐1)]-8 can someone show step by step?

Answers

Answer:

Step-by-step explanation:

9 x {[14÷2+(4‐1)] - 8

9 x {[7 + (3)] - 8

9 x [7 + 3] - 8

9 x [10] - 8

90 - 8

I hope this helps!

Graph the image of the figure using the transformation given.
Captionless Image
last 3 pics are the options

Answers

The reflection of triangle WXY across the x axis gives the points W'(0, 1), X'(3, -3) and Y'(2, 1).

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

The reflection of a point across the x axis is given by the rule (x, y) ⇒ (x, -y). Triangle WXY have endpoints at X(3, 3), Y(2, -1) and W(0, -1).

The reflection of triangle WXY across the x axis gives the points W'(0, 1), X'(3, -3) and Y'(2, 1).

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The revenue function for a real estate agency is based on a percentage of the amount of monthly sales made by agents. The cost function for the agency is based on the commissions, paid to the agent plus the fixed monthly costs. both functions are shown below where X is the dollar amount of the monthly sales made by agents.
• Revenue function: f (x) = 0.03
• Cost function: g (x) = 0.015x + 4,600
The agency will break, even when the revenue function is equal to the cost function. For the agency to break even, what amount of monthly transactions, in dollars, must be generated by its agents?

• Between $0 and $2000
• Between $4,500 and $4,700
• Between $153,000 and $155,000
• Between $305,000 and $307,000

Answers

Answer:

D. Between $305,000 and $307,000

Step-by-step explanation:

A. This is a result of finding 4,600(0.03 + 0.015).

B. This is a result of using the y-intercept for the cost function.

C. This is a result of incorrectly solving the equation 0.03x = 0.015x + 4,600 by dividing 4,600 by 0.03

instead of 0.015 in the final step.

D. This is a result of correctly solving the equation 0.03x = 0.015x + 4,600 ⇒ 0.015x = 4,600 then dividing

4,600 by 0.015 to get approximately 306,667.

Evaluate each expression if x is 2/5, y is -4, and z is -0.2. Then match each expression with the correct answer.

A) 1x + y + z
B) 1 x + y + z
C) 2(y)(x)
D) 2 (y)(x)
E) 32x - z
F) 3 2x - z
G) 4x + y

Answers

The expressions evaluated for the given values of x, y, and z, and matched to the values are

1x + y + z → -3.8

2(y)(x) → -3.2

32x - z → 13

4x + y → -2.4

Evaluating an expression

From the question, we are to evaluate the given expressions for the given values of x, y and z

The given values of x, y, and z are

x = 2/5, y = -4, and z = -0.2

A. 1x + y + z

1(2/5) + (-4) + (-0.2)

2/5 - 4 - 0.2

0.4 - 4 - 0.2

= -3.8

C) 2(y)(x)

2(-4)(2/5)

-8(0.4)

= -3.2

E) 32x - z

32(2/5) - (-0.2)

32(0.4) + 0.2

12.8 + 0.2

= 13

G) 4x + y

4(2/5) + (-4)

4(0.4) - 4

1.6 - 4

= -2.4

Hence, the expressions evaluated for the given values of x, y, and z, and matched to the values are

1x + y + z → -3.8

2(y)(x) → -3.2

32x - z → 13

4x + y → -2.4

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Describe the continuity of the graphed function.
A. The function is continuous.
B. The function has a removable discontinuity at x=0.
C. The function has a jump discontinuity at x=0.
D. The function has an infinite discontinuity at x=0.

Answers

The correct option regarding the continuity of the function at x = 0 is given by:

A. The function is continuous.

What is the missing information?

The graph is missing, and is given at the end of this problem.

What is the continuity concept?

A function f(x) is continuous at x = a if it is defined at x = a, and:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

From the graph of the function, at x = 0, we have that:

[tex]\lim_{x \rightarrow 0^-} f(x) = \lim_{x \rightarrow 0^+} f(x) = f(0) = 0[/tex]

Which means that the function is continuous at x = 0, hence option A is correct.

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In which interval is the radical function f of x is equal to the square root of the quantity x squared 2 times x minus 24 end quantity increasing?

Answers

We get that the function f (x) = √ x² - 2 x - 24 is increasing at the interval [6, ∞).

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

We are given the function as:

f (x) = √ x² - 2 x - 24

From the graph, the function f (x) = √ x² - 2 x - 24 is increasing over the interval [6, ∞).

Therefore, we get that the function f (x) = √ x² - 2 x - 24 is increasing at the interval [6, ∞).

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The cost of purple dye has been increasing over the last few months, and Robyn uses this dye as part of her tie dye scarf business. She’s worried that it will continue to rise to the point where she no longer makes a profit on her scarf sales. She currently has a 20% profit margin ([price - unit costs]/price) and dye is currently 60% of unit costs. What is the lowest percentage increase in the cost of dye that would make Robyn’s scarves unprofitable?

Answers

The lowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%

How to calculate the percentage?

(Price- Unit Cost)/Price= 20% or 0.2

Price- Unit Cost= 0.2 Price

0.8 Price = Unit Cost

Let Unit Cost be x

Price = x/0.8= 1.25x

Dye is 60% of unit costs= 0.6x

Cost of remaining material= 1 - 0.6x = 0.4x

Unit Cost= Cost of Dye+ Cost of remaining material

So, in order to become unprofitable, Unit Cost must be 1.25x

Therefore

1.25x= Maximum cost of dye+ 0.4x

Maximum Cost of Dye = (1.25-0.4)x = 0.85x

Percentage change in cost of dye= {(0.85x-0.6x)/0.6x}*100= 41.66 or 42%

Therefore, theowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%.

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Write the following number in decimal notation.

Four hundred twenty-seven thousandths

Answers

Writing Four hundred twenty-seven thousandths in decimal notations gives 0.0000023419

How to write Four hundred twenty-seven thousandths in decimal notation

Given data

Four hundred twenty-seven thousandths

Four hundred twenty-seven thousand is written in figures as follows

400 000 + 20 000 + 7 000 = 427000

Four hundred twenty-seven thousandths = 1 / 427000

using calculator gives

= 2.3419 * 10^-6 ( in standard form )

= 0.0000023419 ( in decimal notation)

what is decimal notations?

This a term in mathematics used to refer to a way of rewriting numbers in fractions to decimal form. it consists of a value and a point, then the required numbers.

The point is called decimal point. Decimal notations is not used only for numbers less than one. So are numbers in fractions, numbers in decimal may be greater than one. However the question refers to number that is less than one.

The given number: Four hundred twenty-seven thousandth is written in fraction as: 1 / 427000

then from fraction we write the decimal notation using calculator or long division to get 0.0000023419.

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What type of Solution is the product of 2x+1=2x+2

Answers

Answer: no solution

Step-by-step explanation:

A recipe for one loaf of bread uses 2 cups of flour, 12
tablespoons of water, and 1 teaspoon of salt.
Complete the table to show the quantities needed to
make multiple loaves of bread,
Loaves
J
#11
4
Flour (cups)
2
Water (tbsp)
12
48
Salt (isp.)
1

Answers

Answer:

Flour 4) 8

Water 2) 24

Salt 2 - 4) 2 and 4

[tex]\bold{Table}[/tex] [tex]\bold{Rule:}[/tex]

[tex]x \times y = z[/tex]

[tex]\mathrm{where~"z"~is~the~next~value}[/tex]

Is -71/80 rational???????

Answers

Answer: Yes

It is rational because it is a fraction of two integers

-71 and 80 are those two integers

Answer:

Yes, it's rational because it's a fraction that terminates in decimal form.

Solve: 3⁴ × 3² × 3³

...............................

Answers

Answer:

19,683

Step-by-step explanation:

3⁴ × 3² × 3³

Solve the exponents

81 x 9 x 27

Multiply each number and you get

19,683

Use compatible numbers to estimate the whole number quotients 5320/61?

Answers

The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

What is the best estimate of the whole number quotients of the expression; 5320/61 as given in the task content?

It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.

On this note, since the numbers can be written as follows;

= (53.2 × 100)/(0.61 × 100)

= 53.2/0.61

The estimate can therefore be determined by evaluating;

= 53/0.6

= 88 remainder 1.

Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.

Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

Answers

Answer:

Step-by-step explanation:

A) We can find half of the width of the surface by applying pythagorean theorem on the right angled triangle formed by three points which are the center of the circle, the point on the circle where the the endpoints of the width and the radius meet, and the midpoint of the width.

let radius=r, width=w

[tex]r^2=(w/2)^2+(3.4-2.1)^2\\[/tex], since the distance between the origin and the midpoint of the width is 3.4m-2.1m.

[tex]-(w/2)^2=(3.4-2.1)^2-r^2, r=2.1\\-(w/2)^2=(1.3)^2-(2.1)^2\\-(w/2)^2=1.69-4.41\\-(w/2)^2=-2.72\\w/2=\sqrt{2.72}\\w=2*\sqrt{2.72}\\w=3.3 meter[/tex]

B) we can find the other depth of oil which can give the same surface area of oil if the now empty part of the cylinder is filled with oil and the now filled part of the cylinder is empty, so the other possible depth for the same surface area of oil is the diameter of the circle minus 3.4 meters:

diameter=4.2 meter, 4.2 meter-3.4 meter:

0.8 meter depth

a. The width (x) of the oil surface is approximately 5.348 meters.

b. Another depth of oil that would give the same surface width (x ≈ 5.348 meters) is approximately 3.402417 meters.

a) Here, we have to calculate the width (x) of the oil surface, we need to find the length of the chord of the circular cross-section at the top of the oil tank.

We can use the formula for the length of a chord in a circle when the depth and radius are known.

Given that the radius (r) of the circular cross-section is 2.1 meters and the depth (d) of the oil is 3.4 meters, the width (x) can be calculated as follows:

x = 2 * √(r * d)

x = 2 * √(2.1 * 3.4)

x = 2 * √(7.14)

x ≈ 2 * 2.674

x ≈ 5.348 meters

So, the width (x) of the oil surface is approximately 5.348 meters.

b) Now, let's find the other depth of oil that would give the same surface width (x = 5.348 meters).

We can rearrange the formula to solve for the depth (d):

x = 2 * √(r * d)

Divide both sides by 2:

x/2 = √(r * d)

Square both sides:

(x/2)² = r * d

Now, plug in the given values (x = 5.348 meters and r = 2.1 meters) and solve for d:

(5.348/2)² = 2.1 * d

2.674² = 2.1 * d

7.145076 = 2.1 * d

Divide by 2.1:

d ≈ 7.145076 / 2.1

d ≈ 3.402417

So, another depth of oil that would give the same surface width (x ≈ 5.348 meters) is approximately 3.402417 meters.

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Which expression is equivalent to -51-(-60)?
A -51 + 60
B -60+51
C -51 -60
D -60 + (-51)

Answers

So you do keep Change change and so it would be -51+(60) which would be 9

Please please please please please please please please please help me I don’t know this question asking questions like this like I’m in high school

Answers

Answer:

Multiplication -- > 6 × 3 - 8

Division --> (4 + 3)/2

Subtraction --> 4 - 5 + 7

Addition --> 15 + 8 ÷ 4 - 6

Sohan and his sister ate 2/5 of 25 chocolates. How many chocolates they didn't eat?

Answers

25 divided by 5 equals 5

3 times 5 is 15

They still have 15 chocolates left

Solve these absolute value equations.
18. |3р + 7| = 6p

Answers

The absolute value of the given statement is a -3/7 and 3/7.

According to the statement

We have to find that the value of the absolute equations.

So, For this purpose, we know that the

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

From the given information:

|3р + 7| = 6p

And we know that the

If we want to solve equations with absolute values we must know we have to find the solution for both positive and negative values. This is because positive and negative values have a positive absolute value.

Then

|3р + 7| = 6p

6p - 3p = 7

3p = 7

Then

p = 3/7.

According to the absolute value the answer become -3/7 and 3/7.

So, The absolute value of the given statement is a -3/7 and 3/7.

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transistors are used to build computer chips. The size of the earliest transistors

Answers

The number of times that the old transistor is bigger than the new ones in the computer is 1 × 10^6.

How to illustrate the information?

It should be noted that the the side of the earliest form of transistors for computer was 1 × 10⁴.

Now, the size of the transistor today was illustrated as 1 × 10^-².

Therefore, the difference in size will be about:

= 1 × 10⁴ / 1 × 10^-²

= 1 × 10^6

Therefore, the number of times that the old transistor is bigger than the new ones in the computer is 1 × 10^6.

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I watched ad still does not let me see answer!

Answers

Answer:

That's unfortunate. :(

An angle measure of 134.26° is converted to DMS notation as what

Answers

Angle measurement of 134.26° becomes 134° 15' 36" in DMS notation.

What is DMS notation?The standard way to express fractional parts of a degree is in decimal form or in minutes and seconds. The units of a degree are a minute (') and a second (′′). For degrees, minutes, and seconds, this form is frequently referred to as the DMS Form. Use the decimal's whole number portion for the degrees.Divide the final decimal by 60 to get the number of minutes. Use the answer's whole number component as minutes.The new decimal that is left after multiplying by 60 is the seconds.

So, an angle measure of 134.26° is converted to DMS notation as:

= 134° 15' 36"

(Refer the image given below for calculation)

Therefore, the angle measurement of 134.26° becomes 134° 15' 36" in DMS notation.

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4 is a rational number because it can be written as the fraction 4/1. True of false?

Answers

Answer:

true

Step-by-step explanation:

Sin^-1(x) when x=0.3

Solve by using limits (h—>0)

Answers

Answer:

please rate as brainliest

Correct answer gets brainily!

Answers

The measure of ∠YZW is given as 180 degrees.

What is an angle on a straight line?

In the field of geometry, and in mathematics, the straight angle is one that is said to be equal to 180 degrees. That is, it is the angle that is called so based on the fact that it appears on a straight line. The sides of the angle are on separate positions compared to that of the vertex that appears also in a straight line.

Based on this explanation, we can see that ∠YZW appears on a straight line in the image that we have here.

Hence we would conclude by saying that The measure of ∠YZW is given as 180 degrees.