Annie is the height shown.
She is 49 centimeters taller than her brother. Write and solve
an equation to find her brother's height b in centimeters.

Answer:

To graph a linear equation in slope-intercept form, we can use the information given by that form.

The equation of a line with slope 3 and y-intercept of 1 is y = 3x + 1 and hence can be graphed.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.

Given, A line has a slope of 3 and a y-intercept of 1.

We know the equation of a line in slope intercept form is, y = mx + b.

Therefore, The equation of a line having a slope of 3 and a y-intercept of 1 is y = 3x + 1.

learn more about lines and slopes here :

https://brainly.com/question/16180119

#SPJ2

Answer:

240%

Step-by-step explanation:

Times the two whole number by five, add the result to top number, divide by denominator.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

For such questions on Elimination

https://brainly.com/question/14485352

#SPJ8

The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

For more such question on algebric expression. visit :

https://brainly.com/question/4344214

#SPJ8

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

100 degrees

Step-by-step explanation:

This is because AED And CED ARE supplimetary.

80+<CED=180

-80           -80

<Ced=100

Answer:

LeBron James.

Step-by-step explanation:

Since he is 7'9 and she is 6'4, and the deviation for men is smaller, the answer is LeBron James.

Lebron is taller as compared to the Candace .

A standard deviation is a quantity expressing by how much the members of a group differ from the mean value of the group.

Now it is given that,

The average 30- to 39-year old man is 69.5 inches

So, mean, μ = 69.5

Standard deviation, σ = 2.7

Lebron James height = 81 inches

So, x= 81

Therefore z-score for Lebron James is given as,

z =( x -  μ) / σ

⇒ z = (81 - 69.5)/2.7

⇒ z = 11.5/2.7

⇒ z = 4.26

Similraly,The average 30- to 39-year old woman is 64.2 inches

So, mean, μ = 64.2

Standard deviation, σ = 3.2

Candace Parker height = 81 inches

So, x= 76

Therefore z-score for Candace Parker is given as,

z = (x -  μ )/ σ

⇒ z = (76 - 64.2)/3.2

⇒ z = 11.8/3.2

⇒ z = 3.68

Hence, z-score for Lebron James = 4.26

and, z-score for Candace Parker = 3.68

So we see that z-score for Lebron James is greater than z-score for Candace Parker.

Hence,Lebron is taller as compared to the Candace .

More about height:

https://brainly.com/question/14972879

#SPJ6

Answer:

End Balance: $5,160.00

Total Interest: $2,160.00

Step-by-step explanation:

Total Interest =$3000 × 2% × 3 × 12

=$2,160.00

End Balance =$3000 + $2,160.00

=$5,160.00

Answer:

can we get the options

Step-by-step explanation:

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

Learn more on equations of conic sections here: https://brainly.com/question/30989935

#SPJ1

Answer:

It looke like the point given is (1,2) and the slope is 3

Point slope form: y - 2 = 3(x -1)

Slope Intercept form: y = \(\frac{-1}{3}\)x + 1

Step-by-step explanation:

Point slope  As they name implies, you need a point and a slope.  The picture is a little hard to read, but it looks like the point plotted is (1,2)  The slope is the change in y over the change in x.  It looks like from that point to get back on the line only using horizontal and vertical moves, we would move up three and 1 to the right to get back on the line at point (2,5).

The point slope form of a line is:

y - \(y_{1}\) = m( x - \(x_{1}\))    Plug in 2 for \(y_{1}\) and 1 for \(x_{1}\) amd 3 for m

y = 2 = 3( (x-1)

Slope intercept form:  As the names implies we need a slope and a yi-intercept.

The slope is \(\frac{-1}{3}\).  Select a point on the line.  If you can only move veritacl and horizontal.  You  would move down 1 unit and three units to the right.  The y intercept is where the line crosses the y axis.  In this case 1

y = \(\frac{-1}{3} x + 1\)

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

Answer:

A

Step-by-step explanation:

-18 is an integer and a whole number

Step-by-step explanation:

To find the present value of an ordinary annuity, we can use the present value of annuity formula:

PV = P * (1 - (1 + r)^(-n)) / r

Where:

PV = Present value

P = Periodic payment

r = Interest rate per period

n = Number of periods

In this case, the periodic payment is $19,692, the interest rate is 4.8% (or 0.048) compounded quarterly, and the number of periods is 3 years, which corresponds to 12 quarters.

Let's plug these values into the formula and calculate the present value:

PV = 19692 * (1 - (1 + 0.048/4)^(-12)) / (0.048/4)

Calculating this expression, the present value of the annuity is approximately $69,995.46 (rounded to the nearest cent).

Therefore, the present value of the ordinary annuity is $69,995.46.

The minimum value of the function f(x) = 2x^2 + 8.1x + 15.4 is 15.96 to the nearest hundredth.

Minimum value is the lowest y-value the function reaches.

The minimum value of a parabolic function like f(x) = 2x^2 + 8.1x + 15.4 is achieved at the vertex of the parabola.

The x-coordinate of the vertex is given by the formula:

x = -b / (2a

where a = 2, b = 8.1, and c = 15.4.

Plugging in these values, we get:

x = -8.1 / (2 * 2) = -2.05

So, the x-coordinate of the vertex is -2.05. To find the y-coordinate (i.e., the minimum value of the function), we plug in this x-coordinate and solve for y:

y = f(-2.05) = 2(-2.05)^2 + 8.1(-2.05) + 15.4 = 15.96

So, the minimum value of the function f(x) = 2x^2 + 8.1x + 15.4 is 15.96 to the nearest hundredth.

Learn more about minimum value here: brainly.com/question/16381250

#SPJ1

Answer:

the top empty box is 5 the second down box is 4 the box under 6 is 8

Step-by-step explanation:

The correct answer is (c) (35)(99)/108.The expected number of respondents who are age 30 to 50, inclusive, and prefer green can be calculated using the formula for expected value in probability.

We need to find the probability of a person being in the age group 30-50 and preferring green, and then multiply it by the total number of respondents (314).

If the choice of color is independent of age group, then the probability of someone in the age group 30-50 preferring green is given by:

P(Green and 30-50) = P(Green) x P(30-50) = (99/314) x (108/314)

The expected number of respondents who are age 30 to 50, inclusive, and prefer green is then:

E = (99/314) x (108/314) x 314 = 35

Therefore, the answer is (c) (35)(99)/108.

To learn more about probability refer to:

brainly.com/question/11234923

#SPJ4

Answer:

$1000

Step-by-step explanation:

Check answers

1000x .03= 30

1000 - 30 = 970

The fraction of magazines that were delivered to families who were home written as a decimal is 0.4

Difference between fraction and decimal?

Total number of families = 25

Number of families in home = 10

Then, number of families away = 25 - 10 = 15

Fraction of magazines that were delivered to families who were home

= Number of families in home/ Total number of families

= 10 / 25

= 0.4

Hence, the fraction of magazines that were delivered to families who

were home written as a decimal is 0.4

To know more about decimal check the below link:

https://brainly.com/question/703656

#SPJ1

i) Paste the "template" in the space below (Make sure the construction lines are visible).

A template is a pre-designed resource that is used to help create documents more quickly and efficiently. It is a pre-formatted document that contains placeholders for text, images, and other content. Templates are widely used in many different industries for a variety of purposes, such as creating business documents, presentations, and websites.

The template is shown below:

iii) Paste your completed quilt pattern here.

The completed quilt pattern is shown below:

Grade 11 Date:

1.1. Calculate the base length of the isosceles triangular pieces. (4)

Real Life base length = 0.5 m to cut out the building pieces (mm)

Quilt drawing/model Scale base length = 30 mm

1.2. Calculate the perpendicular height of isosceles triangular pieces. (4)

Real Life perpendicular height = 0.5 m

Scale perpendicular height = 30 mm.

To learn more about template

brainly.com/question/29274620

#SPJ1

The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

For more question on algebraic visit:

https://brainly.com/question/30652385

#SPJ8

Answer:

Explained below.

Step-by-step explanation:

1. Bisecting splits an angle into two equal parts. Angle 2 and 3 are now equal.

2. And since it is a right angle, both angles are 45 degrees.

3. All triangle angles will ALWAYS add up to 180.

4. Angle 4 = 180 - 45 (Angle 3) -83.

Angle 4 = 52.

5. Do same thing for Angle 1.

6. Angle 1 = 180 - 45 (Angle 2) - 48

Angle 1 = 87.

Final answers.

1. 87 degrees

2. 45 degrees.

3. 45 degrees.

4. 52 degrees.

Answer: A. -3.65

Step-by-step explanation: The best way to figure this out is by using a calculator. One specific rule to remember is the positive/negative rule. When it applies to multiplication, it also applies to division.

\((+)*(+)=+\\(+)*(-)=-\\(-)*(+)=-\\(-)*(-)=+\\\)

Knowing this, we can input it into the calculator and find the answer's sign.

\(-27.375/7.5=-3.65\)

Therefore, the answer is A. -3.65.

I hope this helps! Pls mark brainliest!! :)

Answer:

The first answer one is true

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

If the acceleration of the object becomes 9m/s², the force will be 24N

From the information, the moving object, the force acting on the object varies directly with the object's acceleration. When a force of 36N acts on a certain object, the acceleration of the object is 6m/s². The constant will be:

y = k/x

y = force.

x = acceleration

k = constant of proportionality.

k = 36 × 6

k = 216

If the acceleration of the object becomes 9m/s², the force will be:

= 216 / 9

= 24

The force is 24N.

Learn more about force on:

brainly.com/question/12970081

#SPJ1

With help of integration, The volume of the  solid that results when the region bounded by y=√x , y=0, and x=16 is revolved about the line x=16 will be 42.66 cubic unit.

What exactly is integration?

The process of computing an integral is known as integration. Mathematicians utilise integrals to compute a variety of useful quantities such as areas, volumes, displacement, and so on. When we talk about integrals, we usually imply definite integrals. Antiderivatives are represented by indefinite integrals. Integration, along with differentiation, is one of the two major calculus concepts in mathematics (which measure the rate of change of any function with respect to its variables).

Integral Fundamental

A definite integral is one that has both upper and lower bounds. For X to lie, only a true line may be utilised. The Definite Integral is also known as a Riemann Integral.

From a to b, use ∫f(x)dx

indefinite integral

Integrals are defined without upper and lower limits. It looks like this:

A indefinite Integral is written as:

∫f(x)dx = F(x) + C

Where C might be any constant and the function f(x) is referred to as the integrand.

Now,

for volume of the   solid that results when the region bounded by y=√x , y=0, and x=16 is revolved about the line x=16.

volume= ∫√x dx for x=0 to 16

=x*√x/3/2

=64*2/3

=128/3

=42.66 cubic unit

To know more about Integration visit the link

https://brainly.com/question/18125359?referrer=searchResults

#SPJ4

Answer:

Okays so John is going 50mph

50 is 1 hour

100 is 2 hours

150 is 3 hours

200 is 4 hours

250 is 5 hours

300 is 6 hours

350 is 7 hours

400 is 8 hours

450 is 9 hours

500 is 10 hours

550 is 11 hours

600 is 12 hours

650 is 13 hours

700 is 14 hours

750 is 15 hours

He will go 750 miles from his starting point in 15 hours

The answer is: 750 miles

I hope this helps you!

Answer:

r = 8 units

Step-by-step explanation:

The equation of the circle centered at the origin is x² + y² = r²

   x² + y² = 64

   x² + y² = 8²

      r = 8 units

Answer:

8

Step-by-step explanation:

An equation of a circle is depicted by the notation \((x-h)^2+(y-k)^2=r^2\), where

- \((h,k)\) is the center point of the circle

- \(r\) is the radius (the span of units from the origin to the border of the circle)

In this unique problem, the center is the origin (0,0), so \(h\) and \(k\) respectively equal 0.

Since the equation of the circle is \(x^2+y^2=64\) , we must square root 64 since it's in it's \(r^2\) form to obtain the value of \(r\), which is the radius.

\(\sqrt{64}\)=±8

Despite mathematically, -8 or 8 will work in this case, you cannot have a negative radius; therefore, the radius of the circle is 8.

Learn more about circles at https://brainly.com/question/30135643

Answer:

25% or more

Step-by-step explanation:

t1 = d1/v1 , t2 = d2/v2.

d1 = d2 , and v1 = 0.8 v2

t1 / t2 = d1/d2 x v2/v1 = v2/v1 ( as d1 = d2 )

t1/t2 = v2 / v1 = v2/0.8 v2 = 1/0.8 = 1.25