Find the measure of each acute angle.

The solution of the linear inequality 2x + 8 > x + 10 > 3x + 9 is:

X>2 and X<1/2

When two mathematical expressions or two numbers are compared in an unequal way, it is called an inequality in mathematics. Inequalities can generally be classified as either numerical, algebraic, or a combination of the two. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1, which is the case in a linear inequality, which is an inequality involving at least one linear algebraic expression.

step1:

2x + 8 > x + 10 > 3x + 9

2x+8>x+10 and  x+10>3x+9

2x + 8 > x + 10 :X>2

X+10>3X+9:X<1/2

Step2:

X>2 and X<1/2

To learn more about linear inequalities refers to;

brainly.com/question/29124698

#SPJ1

The information can be interpreted as,

y = 40 x [tex]3^{x/11}[/tex].

Where y is the number of bacteria and x is the number of hours.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of bacteria initially = 40

The number of bacteria triples every 11 hours.

Now,

The number of bacteria after x hours.

= 40 x [tex]3^{x/11}[/tex]

Where x is the number of hours.

Thus,

The expression for the number of bacteria in x hours is 40 x [tex]3^{x/11}[/tex].

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

Bonjour, qui pourrait me donner la réponse de cette exercice s’il vous plaît c’est pour mon DM de maths.

Step-by-step explanation:

=========================================================

Explanation:

Break the 3D figure into two pieces:

The relevant formulas we need are:

where r and h are the radius and height respectively.

The cylinder has radius r = 5 and height h = 17.8

V = pi*r^2*h

V = pi*5^2*17.8

V = 445pi

The cone has the same radius, but the height is h = 24-17.8 = 6.2

V = (1/3)*pi*r^2*h

V = (1/3)*pi*5^2*6.2

V = (155/3)pi

The total volume is then,

445pi+(155/3)pi

(1335/3)pi + (155/3)pi

(1335/3 + 155/3)pi

(1490/3)pi

That's the exact volume of this pencil-shaped figure. This exact volume is in terms of pi.

----------

Now to compute the approximate volume.

If you were to use pi = 3.14, then the approximate volume is

(1490/3)pi = (1490/3)*3.14 = 1559.5333 cubic cm

Here's what my calculator shows when computing the expression.

(1490/3)pi = 1560.32435128293

The calculator has a stored version of pi with more digits for better accuracy.

Both of those results round to   1560  cubic cm     when rounding to the nearest cubic centimeter.

Therefore , as a result, the answer to the provided median problem is that the median will range from 38.

The median value is the number that exactly lies in the middle of a dataset that has been arranged. The gap between the minimum and maximum 50% of the data is a maximum likelihood measure or average. Depending on whether you have an odd or possibly even amount of data points, different formulas are used to calculate the median and mode.

Here,

Given the values:

50,42,32,35,41,44,24,46,31,47,36,32,30,44,22,47,31,56,28,37,49,28.42,38 and 45

The following is what we have: => (50+42+32+35+41+44+24+46+31+47+36+32+30+44+22+47+31+56+28+37+49+28.42+38 + 45) /25 = 37.88

The median will reach around 38.

As a result, the answer to the provided median problem is that the median will range from 38.

To know more about median , visit

brainly.com/question/28060453

#SPJ4

The complete question is "A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given: 50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 The following histogram is a representation of the data. Calculate the median ages"

Answer:

34 successful free throws out of 120

Step-by-step explanation:

We can use the 28% free throw rate to predict Jai's success in shooting 120 free throws.  If the 28% was calculated from throws made under similar circumstances (e.g., during an actual game), then we can predict that he'll also hit 28% of the 120 attempts:

Likely free throw successes = (28%)*(120)

  (0.28)*(120) = 33.6 successful free throws out of 120.  We need to round 33.6 to the nearest whole number, which makes it 34 successful free throws out of 120.

The triangles ABC and CED are similar by none.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The figure in shown in image.

We know that;

Two triangles are similar if there corresponding sides are in proportion.

So, In triangles ABC and CED;

The ratio of corresponding sides are equal to each other.

Hence, By the options, we get;

The triangles ABC and CED are similar by none.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Therefore , the solution of the given problem of trigonometry comes out to be 52.1 m separates the two buildings.

When it comes to trigonometry, the relationship between squares spline and The field is believed to have originated in the late 1700s, more likely beginning with in third century BC, through the fusion of astronomical and mathematical sciences. Numerous geometric equations or their possible uses in calculations are covered by precise mathematical techniques. The subject of trigonometric are the six basic trigonometric operations.

Here,

=> tan 33.9° = adjacent / opposite

=>Tan 33.9 = 35 / adj

=>0.6719=35/adj

=>adj=35/0.6719

=> adj=52.1 m

Consequently, 52.1 m separates the two buildings.

Therefore , the solution of the given problem of trigonometry comes out to be 52.1 m separates the two buildings.

To know more about trigonometry visit:

https://brainly.com/question/29002217

#SPJ4

On solving the provided question, we can say that when the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

When the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test—more specifically, Pearson's chi-squared test and its variations—is valid to execute.

To know more about null hypothesis visit

https://brainly.com/question/28920252

#SPJ4

The translation applied to the point Q is:

T(-3, -2)

(decreases by 3 the x-value and decreases by 2  the y-value)

A general translation T(a, b) (that can be applied to a point (x, y)) is defined as:

T(a, b)[ (x, y)] = (x + a, y + b)

So, in this case we know that we apply a translation T(a, b) to our point Q (6, 4), and the image that we get is Q' (3, 2)

So we can write the equation:

T(a, b)[ (6, 4)] = (6 + a,  4 + b) = (3, 2)

Now we can solve that to get the values of a and b.

6 + a = 3

a = 3 - 6 = -3

And:

4 + b = 2

b = 2 - 4 = -2

Then the translation in this case is:

T(-3, -2)

Learn more about translations by reading:

https://brainly.com/question/24850937

#SPJ1

The curve is concave upward for t values greater than zero, according to the assertion made.

Curve, An abstract phrase used to characterize the trajectory of a series of movements particle in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a linear model or a collection of connected line segments. The IS curve displays combinations of borrowing costs and production levels where anticipated expenditure and income are equal. The many interest and income configurations along which is something the goods market is still in equilibrium are represented by the IS Curve.

dx/dt = e^t

dy/dt = -te^-t + e^-t

so dy/dt X dt/dx = dy/dx= -te^-t + e^-t /e^t = -t e^(-2t) + e^(-2t)

d2y/dx2 = -dt/dx e^(-2t) +2 t e^(-2t) dt/dx -2e^(-2t) dt/dx

= -e^(-3t) +2te^(-3t) -2e^(-3t)

-t e(-2t) + e(-2t) >0 for curved dy/dx >0

=> t<0 the curve is concave.

To know more about Curve visit:

https://brainly.com/question/27958086

#SPJ4

Answer:

Step-by-step explanation:

The answer is [−3,3]. The average rate of change of f(x)=x^2+10 over an interval [a,b] is given by (f(b)-f(a))/(b-a). Since f(x)=x^2+10 is a polynomial of degree two, it is always increasing, and so its average rate of change is always positive. Thus, the average rate of change of f(x) over any interval [a,b] where a<b is positive, so the answer is [−3,3].

Answer:

Step-by-step explanation:

7.8, 7/29, 1234/21, 11.1212, 9.8, 76/1112

Integers can only be positive numbers, negative, non negative or 0.

The center and vertices of the ellipse x² + 9y² + 16x - 54y + 136 = 0 is

Generally, The standard form of the equation of an ellipse is (x-h)^2/a^2 + (y-k)^2/b^2 = 1, where (h,k) is the center of the ellipse and a and b are the semi-major and semi-minor axes respectively.

To convert the given equation to standard form, complete the square by adding and subtracting constants to both sides: x² + 16x + 81 + 9y² - 54y + 324 = 410

This results in: (x + 8)²/16 + (y - 3)²/9 = 1

Therefore, the center of the ellipse is (h,k) = (-8,3) and the semi-major and semi-minor axes are a = 4 and b = 3.

To find the vertices of the ellipse, substitute the center coordinates into the equation of the ellipse and solve for x and y. Since the semi-major and semi-minor axes are 4 and 3, respectively, the vertices are located at: (h ± a, k) = (-8 ± 4, 3) and (h, k ± b) = (-8, 3 ± 3)

Therefore, the vertices of the ellipse are (-12,3) and (-4,3), (-8,6) and (-8,0).

Read more about ellipse

https://brainly.com/question/14281133

#SPJ1

Answer:

Step-by-step explanation:

It is difficult to determine the rule for the table without further context or information. However, based on the pattern in the table, it appears that the rule for generating the second number in each row is to add 2 to the first number in that row. The rule for generating the third number in each row is to add 6 to the second number in that row. The fourth number is the sum of the first and the third number in that row.

Answer:

a) let 's' = number of bags of snacks

b) let 's+50' = number of bags of beverages

s + s+50 = 400

Step-by-step explanation:

a) let 's' = number of bags of snacks

b) let 's+50' = number of bags of beverages

s + s+50 = 400

solve:

2s + 50 = 400

2s = 350

snacks = 175

beverages = 175+50 or 225

total = 400

Answer:

Step-by-step explanation:

Since the line segment RST is perpendicular to OM, the length of RT can be determined by using the Pythagorean Theorem.

Let RT = x

We know that:

OS = OM - OS = 7 cm

Using the Pythagorean Theorem, we can solve for x:

x^2 = OS^2 + RT^2

x^2 = (7 cm)^2 + x^2

2x^2 = 49 cm^2

x^2 = 24.5 cm^2

x = √24.5 cm = 4.94 cm

Therefore, the length of RT = 4.94 cm

So on solving the provided question we can say that in the equation 15x - y = 25; x = 24/15

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here,

15x - y = 25

so from provided data we have y = 1

15x - 1 = 25

15x = 24

x = 24/15

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The simple interest on 17,000 loan for 10 years will be 11,900

Solution:

As we know,  simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Here given ,

Principle (P) = 17,000

Rate of interest (R) = 7%

Time (T)= 10 years

Simple Interest = (RxRxT)/100

Therefore,

S.I. = ( 17,000 x 7 x 10 ) / 100

     = 11,900

Hence,

The simple interest at the end of 10 years will be 11,900

To know more about S.I. follow the link:

https://brainly.com/question/25845758

Answer:Your mom

Step-by-step explanation:big

At the highest level of discrete value two kinds of data which are  exists as quantitative and qualitative.

Quantitative data which deals with numbers and things that can be measure objectively that are dimensions such as height, width, and length. Temperature as well as  humidity. Prices. Area and volume. Qualitative data deals with characteristics and descriptors that can't be easily measured, but can also be observed subjectively such as smells, tastes, textures, attractiveness, and color. if we measure something and give it a number value, we create as  quantitative data. When we classify or judge something, we create qualitative data.  hence  the highest level of data are also different types of quantitative and qualitative data. There are two types of quantitative data, which is also said  as numeric data of continuous and discrete. in general rule, counts are discrete and measurements are continuous. Discrete data  count that can't be made as more precise. Typically it involves the number of  integers. For  at instance

Continuous data, on the other hand, of variable  could be divided and reduced to maximally of  finer and finer levels.

To know more about Continuous data ,click here:

brainly.com/question/29004144

#SPJ4

There are three main steps for solving an absolute value equation isolate the absolute value expression, split the equation into two cases and solve the case.

Isolate the absolute value expression: Start by isolating the absolute value expression on one side of the equation. This can be done by adding or subtracting a constant from both sides of the equation, or by dividing or multiplying both sides of the equation by a constant.

Split the equation into two cases: Once the absolute value expression is isolated, you need to split the equation into two cases: one for when the absolute value is equal to the positive value of the expression inside it, and one for when it is equal to the negative value.

Solve each case: For each case, you will have an equation. Solve it like any other equation and find the solutions.

To know more on absolute value equation

https://brainly.com/question/2166748

#SPJ4

If there are 16 wins and 84 losses in 100 trials of simulation of rolling two dice, then the proportion of wins is 16%.

To determine the proportion of wins in 100 trials of rolling two dice, we need to divide the number of wins by the total number of trials and multiply by 100. In this case, the number of wins is 16 and the total number of trials is 100. So, the proportion of wins would be:

= (16 / 100) × 100

= 16%

So, the proportion of wins in 100 trials of this simulation is 16% and it has been rounded to two decimal places.

To know more on ratio or proportion

https://brainly.com/question/29087750

#SPJ4

Answer:

0.16

Step-by-step explanation:

Ava 2022

Answer:

The y-intercept is 450, and it represents how much money he has in his account when he starts out with 0 essays proofread

Step-by-step explanation:

Looking at the standard slope-intercept equation, we see:

y = mx + b

Where b is the y-intercept. In our equation, our b is replaced by 450:

y = 15x + 450

So, the y-intercept is 450, and it represents how much money he has in his account when he starts out with 0 essays proofread.

Hope this helped!

The value of x is 7 from the given figure.

What is Triangle ?

Triangle can be defined in which three sides , three angles and the sum of three angles is always is 180 degrees.

From the given triangle ,

Let the triangle be ABC

where A = 60 and B = 30 and C = 90

CA = 7[tex]\sqrt{3}[/tex]

CB = x .

sin60 =  7[tex]\sqrt{3}[/tex]  /x

[tex]\sqrt{3}[/tex] / 2  =  7[tex]\sqrt{3}[/tex]  /x

1/7  = 2 * x

x = 7 * 2

x = 14

In triangle ABC ,

AC^2 + CB ^ 2  = AB ^2

7[tex]\sqrt{3}[/tex]  ^2 + CB^2 = 14*14

CB^2 = 196 - 149

CB^2 = 49

CB = 7

Hence, The value of x is 7  from the given figure.

To learn more about triangle from the given link.

https://brainly.com/question/2773823

#SPJ1

Answer:

125 pounds = 2500 five pence

Answer:

Step-by-step explanation

£1.00=100p

The respective answers are 1/3π r² h,  πr²h, (4 ⁄ 3) π r³

For a right circular cone of radius 'r', height 'h', and slant height 'l', we have; Curved surface area of the right circular cone = π r l. The total surface area of a right circular cone = π(r + l) r. The volume of a right circular cone = 1/3π r² h.

Given:

Volume of cone =1/3π r² h.

Volume of a cylinder= πr²h.

Volume of a sphere=(4 ⁄ 3) π r³

Volume of the ice cream cone≈100.53

Volume of the basket ball≈268.08

Volume of the cylindrical can=42.41

Hence, The respective answers are 1/3π r² h,  πr²h, (4 ⁄ 3) π r³

Learn more about volume of a cone here:

https://brainly.com/question/15584129

#SPJ1

The linear equation passing through both points is:

f(x) = 8x - 14 ,the quadratic equation passing through both points is:

[tex]f(k) = -1/28k^2 + 17/14k - 36/7[/tex]

Linear Equation:

f(x) = mx + b

Where, m is the slope and b is the y-intercept.

Calculation:

By substituting the two points (3,2) and (7,18) in the equation, we get:

2 = 3m + b

18 = 7m + b

Solving the equation we get:

m = 8

b = -14

Therefore, the linear equation passing through both points is:

f(x) = 8x - 14

Quadratic Equation:

f(k) = ax^2 + bx + c

Where, a, b and c are constants.

Calculation:

Substituting the two points (3,2) and (7,18) in the equation, we get:

2 = a(3)^2 + b(3) + c

18 = a(7)^2 + b(7) + c

Solving the equation we get:

a = -1/28

b = 17/14

c = -36/7

Therefore, the quadratic equation passing through both points is:

f(k) = -1/28k^2 + 17/14k - 36/7

Learn more about linear and quadratic equations here:

https://brainly.com/question/29550670

#SPJ4

The numeric values of the function f(x) = -x - 2 are given as follows:

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

f(x) = -x - 2.

The numeric values are found replacing the lone instance of x by the input value, hence they are given as follows:

The problem asks for the numeric values for the function f(x) = -x - 2, with inputs x = -5, x = -3 and x = -1.

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

Answer:

Step-by-step explanation:

The volume on the shape on top is 10x3x8=240

The volume of the shape is 3x5x6=90

The bottom shape is 8x5x2=80

the total volume is 240+90+80=410