Someone please help me with this! Yes

Answer:

Hello! answer: r = 7

Step-by-step explanation:

Hi im sorry I will try to explain this the simplest way possible! so all of this will add up to 180 we know 1 angle is 55 and the 1 that isnt labelled is 90 because its a complementary angle leta add those and subtract so we can figure out what our last angle will have to equal so... 55 + 90 = 145

180 - 145 = 35 so now we know the last angle will have to equal 35 r is just a place holder its just representing something multiplied by 6 subtracted by 7 will equal 35 so...

6 × 7 = 42 and 42 - 7 = 35 So 7 is r!! Hope that helps!

Step-by-step explanation:

Taking the provided equation ,

\(\implies \dfrac{3x+4}{5}-\dfrac{2}{x+3} =\dfrac{8}{5} \)

1) Here denominator of two fractions are 5 and x +3 . So their LCM will be 5(x+3)

\(\implies \dfrac{(x+3)(3x+4)-(2)(5)}{5(x+3)}=\dfrac{8}{5} \)

2) Transposing 5(x+3) to Right Hand Side . And 5 to Left Hand Side .

\(\implies 5(3x^2+4x+9x+12 -10) = 40(x+3)\)

3) Multiplying the expressions.

\( \implies 5(3x^2+13x+2) = 40x + 120 \)

4) Opening the brackets .

\(\implies 15x^2+ 65x + 10 = 40x + 120 \)

5) Transposing all terms to Left Hand Side .

\(\implies 15x^2 + 65x - 40x + 10 - 120 = 0 \\\\\implies 15x^2 +25x - 110 = 0\)

6) Solving the quadratic equation .

\(\implies 5(3x^2+5x -22) = 0 \\\\\implies 3x^2+13x-22 = 0 \\\\ \implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{4ac} \\\\\implies x = \dfrac{-5\pm \sqrt{5^2-4(-22)(3)}}{2(3)} \\\\\implies x = \dfrac{-5\pm \sqrt{289}}{6}\\\\\implies x =\dfrac{-5\pm 17}{6} \\\\\implies x = \dfrac{17-5}{6},\dfrac{-17-5}{6}\\\\\implies x = \dfrac{12}{6},\dfrac{-22}{6} \\\\\underline{\boxed{\red{\bf\implies x = 2 , \dfrac{-11}{3}}}}\)

Answer:

\(x=2\\x=-\frac{11}{3}\)

Step-by-step explanation:

Solve the rational equation:

\(\displaystyle \frac{3x+4}{5}-\frac{2}{x+3}=\frac{8}{5}\)

To eliminate denominators, multiply by 5(x+3) (x cannot have a value of 3):

\(\displaystyle 5(x+3)\frac{3x+4}{5}-5(x+3)\frac{2}{x+3}=5(x+3)\frac{8}{5}\)

Operate and simplify:

\(\displaystyle (x+3)(3x+4)-5(2)=(x+3)(8)\)

\(\displaystyle 3x^2+4x+9x+12-10=8x+24\)

Rearranging:

\(\displaystyle 3x^2+4x+9x+12-10-8x-24=0\)

Simplifying:

\(\displaystyle 3x^2+5x-22=0\)

Rewrite:

\(\displaystyle 3x^2-6x+11x-22=0\)

Factoring:

\(\displaystyle 3x(x-2)+11(x-2)=0\)

\(\displaystyle (x-2)(3x+11)=0\)

Solving:

\(x=2\\x=-\frac{11}{3}\)

Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

Answer:

\(\=x=82\)

Step-by-step explanation:

From the question we are told that:

Data

\(\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } 87& 91& 86& 82& 72&91 \\ 60& 77& 80& 79& 83&96 \end{tabular}\end{center}\)

Generally the equation for Point estimate \(\=x\) is mathematically given by

\(\=x=\frac{\sum_x}{n}\)

\(\=x=\frac{87 +91+ 86+ 82 +72 +91+ 60+ 77 +80+ 79+ 83 +96}{12}\)

\(\=x=\frac{984}{12}\)

\(\=x=82\)

Answer:

mean: 26

median: 28

mode: 28

range:19

Step-by-step explanation:

hipe this helped hun

9514 1404 393

Answer:

Step-by-step explanation:

The sum of the initial vector and the final vector needs to be equal to the original vector. If we let B represent the vector taken after discovering the mistake, we must have ...

  wrong vector + B = intended vector

  B = (intended vector) -(wrong vector)

Since the speed is presumed constant, we can write the vectors in terms of hours, not miles. For calculation purposes it is convenient to use bearings measured clockwise from north. West of north will be negative bearing angles for the purpose here. Of course, south is a bearing of 180°, so angles west of south are farther clockwise, hence added to 180°.

  B = 4.5∠-22° -0.5∠202° = 4.87207∠-17.91192° . . . using a suitable calculator

__

a) The new bearing must be N17.91°W

__

b) At the time the error was discovered, the 4.5 hour trip was already 0.5 hours old. Hence the expected additional time is 4.5 -0.5 = 4.0 hours. The actual additional time is 4.872 hours, so the trip will take ...

  4.872 -4.0 ≈ 0.9 . . . hours

longer than originally planned.

_____

Comment on coordinates

Bearings are conventionally rendered as a positive angle in the range 0–360°, measured clockwise from north. Alternatively, they are given (as here) as a positive angle in the range 0–90° east or west from north or south.

Occasionally, you will see bearings expressed as an angle in the range 0–45° from the nearest cardinal direction toward the next-nearest cardinal direction. (For example, E19°S instead of 109° or S71°E.)

Compared to angles measured conventionally on a Cartesian plane, CCW from +x, bearing angles are essentially conventional angles subtracted from 90° (and vice versa). As far as angles are concerned, The Cartesian coordinates are the same as map coordinates if you reflect the map across the line y=x.

Calculators that work with vectors work just fine with bearing distances and angles. You just have to remember that the (a, b) rectangular coordinate pair is (N, E) rather than the usual Cartesian plane (E, N). (East being to the right; North being up.)

The number of pounds of peanuts needed is 29.167.

Multiply the number of pounds of each type and multiply by the cost per pound to get the total cost of that part contribution to the total. Add them together and set it equal to the final total pounds (50) multiplied by its cost per pound ($2.90)

There are 5 pounds of mixed nuts.

let x = pounds of peanuts

cost of each pound of peanuts is $1.50

45 - x = pounds of cashews

Cost of each pound of cashew is $4.50

This way total pounds = 50

5 pounds($6) + x pounds ($1.50) + (45-x)pounds($4.50) = 50 pounds($2.90)

30 + 1.50x + 202.5 - 4.50x = 145

-3x = -87.5

x = 29.167

Therefore, the number of pounds of peanuts needed is 29.167.

To learn more about algebra refer here

https://brainly.com/question/4344214

#SPJ4

Disclaimer

The question given by you is incomplete, the abouve asnwer is done as per a similar question, the question is

A merchant has 5 pounds of mixed nuts that cost $30. he wants to add peanuts that cost $1.50 per pound and cashews that cost $4.50 per pound to obtain 50 pounds of a mixture that costs $2.90 per pound. how many pounds of peanuts are needed?

Which graph shows a function and it’s reverse?

answers

b

Answer:

0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

\(\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8} }\)

\(6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }\)

Answer:

We need the picture

Step-by-step explanation:

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

Learn more about transversal:https://brainly.com/question/17987539

#SPJ1

Answer:656.7577

Step-by-step explanation:

Answer:

  4 bags

Step-by-step explanation:

The number of required bags can be found by dividing the coverage required by the coverage per bag.

The area of Lisa's garden is given by the formula ...

  A = LW

For the given dimensions, the area is ...

  A = (12 ft)(10 ft) = 120 ft²

The number of required bags can be found by dividing the area by the area per bag:

  (120 ft²)/(30 ft²/bag) = 4 bags

Lisa will need 4 bags of fertilizer to cover the garden.

__

Additional comment

The multiplication relation corresponding to this division relation is ...

  (bags) × (area/bag) = area

To get the relation we used above, we divided both sides by (area/bag).

Answer:

2/5

Step-by-step explanation:

start by 8*5 then 10 times 10 then simplify

Answer:

2/5

Step-by-step explanation:

A nickel is worth= 5 cents.

A dime is worth= 10 cents.

So ratio=8×5/10×10

=40/100

=2/5

So the ratio is 2/5

To convert  Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32

Let C represent the degrees Celsius and F represent the degrees Fahrenheit.

The relationship between C and F is given as:

C = (F-32) × 5/9

Hence to convert Celsius to Fahrenheit, we make F the subject of formula:

C = (F-32) × 5/9

9C/5 = (F-32)

F = (9/5)C + 32

To convert  Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32

Find out more at:https://brainly.com/question/15697959

Answer:

Step-by-step explanation: This is one of the most common examples given in math textbooks, and it's useful to know if you ever travel outside the U.S., or if you are from outside the U.S. and travel here.

C = 5/9 (F - 32)

9C = 5(F - 32)

9/5 C = F - 32

9/5 C + 32 = F

F = 9/5 C + 32

Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

Answer: 45° and 60°.

Step-by-step explanation:

The sum of the angles that are in a triangle is 180°. If one of the angle of a triangle is 75°, the remaining angle will be:

= 180° - 75°

= 105°.

Since the other two angles are in the ratio of 3:4 and the remaining angle is 105°, the value of the angles will be:

= 3/(3+4) × 105°

= 3/7 × 105°

= 45°

= 4/(3+4) × 105°

= 4/7 × 105°

= 60°

Therefore, the remaining angles are 45° and 60°.

Answer: 3 out of 27 chance

Step-by-step explanation:

Answer:

15% off

Step-by-step explanation:

Answer:

Larry’s graph is incorrect.He should used a closed circle at -5

Step-by-step explanation:

Answer:

A)Larry’s graph is incorrect. He should have used a closed circle at –5.

Step-by-step explanation:

Answer:

25 pages

Step-by-step explanation:

60 minutes in 1 hour. 60/12=5  5 x 5 =25

1. The area of triangle ABC = 10 units²

2. The area of triangle DEC = 2.5 units²

3. No

4. Scale factor = 2

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The figure is given in the question, as shown

As per the question, the required solution would be as:

1. the area of triangle ABC = 1/2 x 5 x 4  = 20/2 = 10 units²

2. the area of triangle DEC = 1/2 x (5/2) x (4/2)  = 20/8 = 2.5 units²

3. No

4. scale factor = 5/(5/2) = 2

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ1

The question seems to be incomplete the missing part has been attached below

Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

Learn more about amplitude on https://brainly.com/question/3613222

#SPJ1

Answer:

0.02612898 m2 ( im so sorry if this is wrong im new at this =))

Step-by-step explanation:

((3/8) foot) x (3/4) foot =

0.02612898 m2

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

For similar question on Vertex.

https://brainly.com/question/25651698

#SPJ8