Questions posted in Mathematics

PLEASE HURRYIn the diagram of circle O, what is the measure of ∠ABC?I WILL GIVE BRAINLIEST

Mathematics 24/02/2020 12:17 PM answersmine

Answer:

The measure of angle ABC is 34°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

∠ABC=(1/2)[major arc AC-minor arc AC]

∠ABC=(1/2)[major arc AC-146°]

Find the measure of major arc AC

major arc AC=360°-146°=214°

substitute

∠ABC=(1/2)[214°-146°]=34°

In the equation x=y^3 - 10, is y a function of x?

Mathematics 24/02/2020 08:12 AM answersmine

Answer:

Step-by-step explanation:

If y is a function of x, then the equation would be written as a "y =" equation, not an "x = " equation. This example is one where x is a function of y.

7. A 2600-pound truck is stopped at a red light on a hill with an incline of 25°. Ignoring the force of friction, what force is required to keep the truck from rolling down the hill? (Show work)

Mathematics 24/02/2020 08:06 AM answersmine

Answer:

about 75 percent of its force

Step-by-step explanation:

What is the value of x?OO12 units15 units20 units24 units

Mathematics 24/02/2020 07:45 AM answersmine

Answer:

15 units

Step-by-step explanation:

similar triangles

9/x = x/25

${x}^{2} = 225$

x = 15

Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment E'F' to segment EF? A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image. A segment in the image has the same length as its corresponding segment in the pre-image. A segment that passes through the center of dilation in the pre-image does not pass through the center of dilation in the image. A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.

Mathematics 24/02/2020 06:17 AM answersmine

Answer: A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.

Step-by-step explanation:

A dilation is a transformation that maps an image that is the similar to the actual shape .

i.e. It creates images of same shape but of different size.

A dilation stretches or shrinks a shape by using the scale factor and about the fixed center of the dilation.

Given : Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'.

Then Quadrilateral EFGH must be similar to E'F'G'H'.

It means sides of Quadrilateral EFGH must be proportional to sides of Quadrilateral E'F'G'H'.

Hence, the correct characteristic of dilation compares segment E'F' to segment EF is :

A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.

Using the linear combaination method what is the solution to the system of linear equations 7x-2y=-20and9x+4y=-6

Mathematics 24/02/2020 06:17 AM answersmine

Answer:

x=-2 y=3

Step-by-step explanation:

7x-2y=-20

9x+4y=-6

Multiply the first equation by 2

2(7x-2y) = 2 * -20

14x - 4y = -20

Add this to the second equation

14x - 4y = -40

9x+4y=-6

--------------------------

23x = -46

Divide by 23

23x/23 = -46/23

x = -2

Now we solve for y

9x+4y=-6

9(-2) +4y = -6

-18 + 4y = -6

Add 18 to each side

-18+18 +4y = -6+18

4y = 12

Divide by 4

4y/4 = 12/4

y=3

1) Emily wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Emily can make? Write answer in sentence form.

Mathematics 24/02/2020 06:03 AM answersmine

Answer: 2

Step-by-step explanation:

Given : The number of granola bars = 6

The number of pieces of dried fruit = 10

If the snack bags should be identical without any food left over, then the greatest number of snack bags Emily can make is the greatest common factor (GCF) of 6 and 10.

Since , factors of 6 = 1, 2, 3, 6

Factors of 10 = 1, 2, 5, 10

Hence, the greatest common factor of 6 and 10 = 2

Thus, the greatest number of snack bags Emily can make = 2.

Richard wants to buy a LCD flat panel monitor measuring 14 inches by 16 inches. What is the measure of the diagonal of the monitor? (JUSTIFY)

Mathematics 24/02/2020 06:00 AM answersmine

Answer:

21.26 inches.

Step-by-step explanation:

It can be inferred that the shape of the monitor is a rectangle, in which the length of the monitor is 16 inches and the height of the monitor is 14 inches. The diagonals of the rectangle cut it into two congruent right-angled triangles. Therefore, to find the length of the diagonal of the monitor, use the Pythagoras Theorem. Since the base (b) is 16 inches and the perpendicular (p) is 14 inches, the distance of the hypotenuse (i.e. the diagonal, denoted by h) can be found by the following formula:

$h^2 = b^2 + p^2$

Plugging in the values:

$h^2 = 16^2 + 14^2$

Simplifying gives:

$h^2 = 452$

Taking square root on both sides gives:

h = 21.26 inches (to the nearest 2 decimal places)

Therefore, the measure of the diagonal is 21.26 inches!!!

All but 1/13 of the students enrolled at a particular elementary school participated in "Family Fun Night" activities. If a total of 396 students were involved in the evening's activities, how many students attend the school?

Mathematics 24/02/2020 05:43 AM answersmine

Answer:429

Step-by-step explanation: let the total number of students in the elementary school be X

X - X/13 = 396

12X/13=396

X=396/*13/12

X=5148/12

X=429

The question asks, "Find the equation of the ellipse with the following properties. The ellipse with x-intercepts (5, 0) and (-5, 0); y-intercepts (0, 3) and (0, -3)." I know that the equation for an ellipse is x^2/a^2+ y^2/b^2=1 but I have no idea how to create the equation given x-intercepts and y-intercepts. Please help! Thank you.

Mathematics 24/02/2020 05:38 AM answersmine

Answer:

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Step-by-step explanation:

Equation of ellipse is of form $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ where $(a,0) , (-a,0)$ are the x-intercepts and $(0,b) , (0,-b)$ are the y-intercepts . If $a > b$ then it is a horizontal ellipse and if $a < b$ then it is a vertical ellipse .

For horizontal axis ,

Here, $(a,0) , (-a,0)$ are known as the vertices of ellipse and $(0,b) , (0,-b)$ are the co-vertices of ellipse .

Horizontal axis is known as the major axis and vertical axis is known as the minor axis .

Here, x-intercepts are $(5,0) , (-5,0)$ , take a = 5

y-intercepts are $(0,3) , (0,-3)$ , take b = 3

As $a > b$ , it is a horizontal ellipse .

On putting a = 5 and b = 3 , we get equation as

$\frac{x^2}{5^2}+\frac{y^2}{3^2} =1\\ \frac{x^2}{25}+\frac{y^2}{9} =1$

5x÷y=15 y does not equal to...

Mathematics 24/02/2020 05:29 AM answersmine

Answer:

the required answer is 3...

This question is "Create expressions with parentheses". Need help!!

Mathematics 24/02/2020 05:27 AM answersmine

Answer:

Lauren's Problem

Step-by-step explanation:

She fell the appropriate number of times each day for the 5 days. She fell 9 times the first day, like the equation has in parenthesis. She did it for 5 days. 5x9 is pretty much given to you. Hope this helps. :)

A formula for finding the area of a rectangle is A=l?w. If you know the area (A) and length (l) of a rectangle, which formula can you use to find the width (w)?

Mathematics 24/02/2020 05:26 AM answersmine

Area=length X width
therefore, width=area/length (area divide by length)

PLEASE HELPPPP!!!!!! Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description? Image for option 1 Image for option 2 Image for option 3 Image for option 4

Mathematics 24/02/2020 05:18 AM answersmine

Answer: a figure 4

Step-by-step explanation: all the shapes should be intersecting

A square has an area of 25 square inches. How long are its sides?

Mathematics 24/02/2020 05:13 AM answersmine

Answer:

Step-by-step explanation:

$A_{s} = l^2$ , where l - is a side

$l = \sqrt{A_s}$

$l = \sqrt{25} = 5$

Which expression is equivalent to the following complex fraction?2-1/y / 3+ 1/y

Mathematics 24/02/2020 05:09 AM answersmine

Answer:

$\frac{2-\frac{1}{y} }{3+\frac{1}{y} }$ is equivalent to $\frac{2y-1}{3y-1}$

Step-by-step explanation:

The given expression is : $\frac{2-\frac{1}{y} }{3+\frac{1}{y} }$ .

We collect LCM in both the numerator and the denominator to obtain:

$\frac{\frac{2y-1}{y} }{\frac{3y-1}{y} }$

Change to the normal division sign;

$\frac{2y-1}{y} \div \frac{3y-1}{y}$

Multiply by the reciprocal of the second fraction:

$\frac{2y-1}{y} \times \frac{y}{3y-1}$

Cancel out the common factors

$\frac{2y-1}{3y-1}$

Therefore $\frac{2-\frac{1}{y} }{3+\frac{1}{y} }$ is equivalent to $\frac{2y-1}{3y-1}$

Solve 12, +42 = 249

Mathematics 24/02/2020 05:04 AM answersmine

42+12+=249

coz ++=+

not sure may be its correct

-3 3/8 x -2/3 divided by(-1 3/4)

Mathematics 24/02/2020 04:59 AM answersmine

$\bf \stackrel{mixed}{-3\frac{3}{8}}\implies -\cfrac{3\cdot 8+3}{8}\implies \stackrel{improper}{-\cfrac{27}{8}}~\hfill \stackrel{mixed}{-1\frac{3}{4}}\implies -\cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{-\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{from left to right}}{-\cfrac{\stackrel{9}{~~\begin{matrix} 27 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{4}{~~\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\times -\cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\div -\cfrac{7}{4}}\implies \cfrac{9}{4}\div -\cfrac{7}{4}$

$\bf \cfrac{9}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\times-\cfrac{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{7}\implies -\cfrac{9}{7}$

7. Identify the period for the trigonometric function: f (t) = 3cot(t).

Mathematics 24/02/2020 04:59 AM answersmine

The second option which

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 - 4 cos θ

Mathematics 24/02/2020 04:57 AM answersmine

to run a symmetry test on a polar, we can simply do a few ( r , θ ) replacements, if the equation resulting from the replacements, resembles the original, then it has that symmetry type, now, let's recall the symmetry trigonometry identity, cos(-θ) = cos(θ).

$\bf r=4-4cos(\theta ) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{testing with respect to the y-axis, using }-r,-\theta ~\hfill }{(-r)=4-4cos(-\theta )\implies -r=4-4cos(\theta )}\implies r=-4+4cos(\theta )~\hfill \bigotimes \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{testing with respect to the x-axis, using }-\theta ~\hfill }{r=4-4cos(-\theta )\implies r=4-4cos(\theta )}~\hfill \stackrel{\textit{symmetry with respect}}{\textit{to x-axis}~\hfill }\textit{\Large\checkmark} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{testing with respect to the origin, using }-r~\hfill }{(-r)=4-4cos(\theta )\implies r=-4+4cos(\theta )}~\hfill \bigotimes$

Brianna is graphing the function f(x)=x^2+6x+5. what x intercepts should brianna use to graph f(x)

Mathematics 24/02/2020 04:55 AM answersmine

Answer:

x = - 5, x = - 1

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² + 6x + 5 = 0 ← in standard form

Consider the factors of the constant term (+ 5) which sum to give the coefficient of the x- term ( + 6)

The factors are + 5 and + 1, since

5 × 1 = 5 and 5 + 1 = + 6, hence

(x + 5)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5 ⇒ (- 5, 0 )

x + 1 = 0 ⇒ x = - 1 ⇒ (- 1, 0)

A simple random sample of 60 is drawn from a normally distributed population, and the mean is found to be 28, with a standard deviation of 5. Which of the following values is within the 95% confidence interval (z-score = 1.96) for the population mean? Remember, the margin of error, ME, can be determined using the formula ME=z*s/square root n. The value of 26, because it’s not greater than 26.7 and less than 29.3. The value of 27, because it’s greater than 26.7 and less than 29.3. The value of 32, because it’s greater than 23 and less than 33. The value of 34, because it’s not greater than 23 and less than 33.

Mathematics 24/02/2020 04:52 AM answersmine

Answer:

The value of 27, because it’s greater than 26.7 and less than 29.3.

Step-by-step explanation:

You should find the confidence Interval at 95%

The formula to apply is;

C.I= x±z*δ/√n

where C.I is the confidence interval, x is the mean of the sample, z is the z* value from the standard normal distribution for 95% confidence interval, δ is the standard deviation and n is the sample size

Substitute values in the formula

$z*=1.96\\\\$

Find δ/√n

$=\frac{5}{\sqrt{60} } =0.64549722436\\\\\\$

Calculate z*δ/√n

$=1.96*0.64549722436=1.2652\\\\\\$

C.I= 28±1.2652

Upper limit is = 28+1.2652=29.2625

Lower limit is =28-1.2652=26.7348

Solution

The value 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3

A white tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many per hour? There are 5,280 feet in one mile

Mathematics 24/02/2020 04:52 AM answersmine

Answer:

American Bison

Step-by-step explanation:

First find out how many feet the bison runs in an hour.

To find that out you have to multiply 3520 by 60 minutes because there are 60 minutes in an hour.

So 3520*60 = 211,200 feet

Then you have to convert 211,200 feet into miles and since there are 5,280 feet in an a mile you have to divide.

So 211,200 divided by 5,280 = 40

So the American Bison runs 40 miles per hour which is faster than the White Tailed Deer who only runs 30 miles per hour.

So the answer is the American Bison.

-2 -1 1 2 pls help!!!

Mathematics 24/02/2020 04:48 AM answersmine

I’m sure it is -2
I had the same question

A solid oblique pyramid has a square base with an edge length of 2 cm. Angle BAC measures 45°. What is the volume of the pyramid? 2.4 cm3 3.6 cm3 4.8 cm3 7.2 cm3

Mathematics 24/02/2020 04:44 AM answersmine

Answer:

4.8cm^3

Step-by-step explanation:

Assignment Active Finding the Total Cost of a Purchase Clothing price (100%) $26.50 Added tax (5%) Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes? Step 1: (Original Price)(Tax Percent) = Amount of Tax Total cost Step 2: Original Price + Amount of Tax = $ 1) Intro

Mathematics 24/02/2020 04:41 AM answersmine

Answer:

$27.83

Step-by-step explanation:

(Original Price)(Tax Percent) = Amount

Remember to turn the percent into decimal form first!

(26.50)(0.05) = 1.325

Do not round the results until you are done solving the problem!

(Original Price) + (Amount Tax) = $$$

(26.50) + (1.325) = 27.825

Round the results now!

$27.83

I don’t get this question

Mathematics 24/02/2020 04:30 AM answersmine

This is a right triangle and to solve this you must use Pythagorean theorem:

$a^{2} +b^{2} =c^{2}$

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 60

b = x

c = 65

^^^Plug these numbers into the theorem

$60^{2} +x^{2} =65^{2}$

simplify

3600 + $x^{2}$ = 4225

Now bring 3600 to the right side by subtracting 3600 to both sides (what you do on one side you must do to the other). Since 3600 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

3600 - 3600 + $x^{2}$ = 4225 - 3600

0 + $x^{2}$ = 625

$x^{2}$ = 625

To remove the square from x take the square root of both sides to get you...

x = √625

x = 25

(option C)

Hope this helped!

Just a girl in love with Shawn Mendes

Which set of ordered pairs could be generated by an exponential function? (0,0), (1, 1), (2, 8), (3, 27) (0, 1), (1, 2), (2, 5), (3, 10) (0,0), (1, 3), (2, 6), (3, 9) (0, 1), (1, 3), (2, 9), (3, 27)

Mathematics 24/02/2020 04:23 AM answersmine

ANSWER

(0, 1), (1, 3), (2, 9), (3, 27)

EXPLANATION

The first and third options are completely out because the y-value of an exponential function is never zero.

For the second option the y-values has no geometric pattern or common ratio.

For the last option, we can observe the following pattern

$1 = {3}^{0}$

${3}^{1} = 3$

${3}^{2} = 9$

${3}^{3} = 27$

${3}^{x} = y$

The correct choice is the last option

Which of the following is NOT a property of the sampling distribution of the sample mean? Choose the correct answer below. A. The sample means target the value of the population mean. B. The expected value of the sample mean is equal to the population mean. C. The distribution of the sample mean tends to be skewed to the right or left. D. The mean of the sample means is the population mean.

Mathematics 24/02/2020 04:14 AM answersmine

Answer:

B. The expected value of the sample mean is equal to the population mean.

Step-by-step explanation:

The expected value of the sample mean is equal to the population mean is NOT a property of the sampling distribution of the sample.

Use the graph of f(x) to evaluate the following:

Mathematics 24/02/2020 04:08 AM answersmine

Answer:

$\large\boxed{\dfrac{1}{2}}$

Step-by-step explanation:

$\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}.\\\\\text{Read from graph the values of function for}\ x=3\ \text{and}\ x=5.\\(look\ at\ the\ picture)\\\\f(3)=1,\ f(5)=2\\\\\text{Substitute:}\\\\\dfrac{f(5)-f(3)}{5-3}=\dfrac{2-1}{2}=\dfrac{1}{2}$

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