true or false please help thank you

Step-by-step explanation:

14.99 - 11.53= 3.46+1.95 =4.41

The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

The angle measure of x is 115°.

A parallelogram is a four-sided shape with two sets of parallel sides, which means that opposite sides are both parallel and have equal length. Parallelograms also have opposite angles with the same measure, and their diagonals intersect at the midpoint and bisect each other. This results in the parallelogram being divided into two triangles that are congruent. Examples of parallelograms include rectangles, squares, and rhombuses, and they are commonly used in both geometry and everyday life, particularly in the design of buildings and other structures.

We can call this figure ACDEF. Let us join CB.

Now we can see that BDEF is a parallelogram. Opposite angles of a parallelogram are equal, hence ∠DBF = ∠DEF = x°

And also consider the triangle ABC,

∠BAC = 50°

∠ABC = 180 - ∠DBF = 180° - x° (linear pair)

∠ACB = 180 - ∠ACD = 180° - x° (linear pair)

We know that all the angles of a triangle adds up to 180°.

Using this we can find x°:

∠BAC + ∠ABC + ∠ACB = 180°

50° + 180° - x° + 180° - x° = 180°

-2x° + 410 = 180°

-2x° = 180° - 410° = -230°

x° = -230/ -2

x ° = 115°

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The length of AC is 12 units . Option D

The formula for area of a kite is given thus;

Area = \(\frac{p * q}{2}\)

Where p and q are the lengths

Area of kite = 48 square units

BD, q = 8 units

AC , p = unknown

Substitute the values

\(48 = \frac{AC * 8}{2}\)

Cross multiply

\(AC * 8 = 48 * 2\)

\(8AC = 96\)

\(AC = \frac{96}{8}\)

\(AC = 12\) units

Thus, the length of AC is 12 units . Option D

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Answer:option 4

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

2{ 2[24 + 4(9)-25]}

2{ 2[24 + 36-25]}

2{ 2[35]}

2(70)

140

Answer:

I don't know.

Step-by-step explanation:

Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

If we have two similar triangles, that ratio of the corresponding sides are all the same. This means that:

Substituting the lengths, we get:

The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.

To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.

Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.

Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.

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Answer:

17

Step-by-step explanation:

Using the distributive property, we can rearrange the expression into this:
-4^2+-4+5

Which when expanding, is:

16+-4+5, which gives 17.

By the remainder theorem, dividing \(f(x)\) by \(x-2\) leaves a remainder of \(f(2)\), which is

\(f(2)=2(2)^4+(2)^3-8(2)-1=\boxed{23}\)

which makes B the correct answer.

The remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2 is 23

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

Polynomial based on degree is linear, quadratic, cubic.

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial x - a, the remainder of is to f(a)

Given that f(x) = 2x⁴ + x³ - 8x - 1 is divided by x - 2

x - 2 = 0

x = 2

f(2) = 2(2)⁴ + (2)³ - 8(2) - 1 = 23

Hence The remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2 is 23

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Answer:

x=90

y=148

Step-by-step explanation:

Since we know a line is 180 degrees, and we know that angle Q is 90, x must be a 90-degree angle as well.

With our given information we can add up the two given angles in the triangle which are 90 and 58

90+58=148

To find what R is, we must subtract 148 from 180 because all the angles in a triangle sum up to 180.

180-148=32

Now that we know that R is 32, because we know that a line is 180 degrees, we can subtract 32 from 180 to get our final answer for y as 148.

180-32=148

Answer:

180-44=136 is d

then 180-136=44 44/2=22

c is 22. just remember total angle above straight line is 180, and the total angle of a triangle is also 180. And if two sides have the same length, their angles are also the same like c and a, and e and 44 degrees

Answer:

Option (A)

Step-by-step explanation:

Sasha has an amount of $400 and saves $20 per week.

If we graph the savings of Sasha, her savings per week will be defined by the slope of the line = $20 per week

Similarly, from the graph attached,

Slope of the line given in the graph = Per week savings of Natalia

Slope of line passing through (0, 190) and (2, 210) will be,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

          = \(\frac{210-190}{2-0}\)

          = 10

Therefore, per week savings of Natalia = $10

Difference in savings of Sasha and Natalia = 20 - 10 = $10 per week

Here, Sasha shows the greater rate of change by $10 per week

Therefore, Option (A) will be the answer.

Answer:

1. What is the true density of water?

The true density of water is 1 g/cm³. (Actually, the exact density if water is not really 1 g/cm³, but a bit less (very, very little less), at 0.9998395 g/mol at 40 degree Celsius)

2. What variables change the density of water?

Temperature and purity can change the density of water.

3. How does water go against the concept of "Thermal Expansion"?

When water is a liquid, the water molecules are packed relatively close together but can slide past each other and move around freely(as stated earlier, that makes it a liquid). As the temperature increases or decreases from 4 degree Celsius, the density of water decreases.

The coordinates of the vertices of each figure after a dilation is

J'(0, -1), K'(0, 6/4), L'(1, 1) and M'(1, 1/2)

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. Yet, there is a variation in the shape's size.

Given:

The coordinates of Trapezium JKLM

J(0, -4), K(0, 6), L(4, 4) and M(4, 2)

and, the scale factor is 1/4.

So, the coordinates of Trapezium JKLM after Dilation

1/4 x J(0, -4)-------> J(0, -1)

1/4 K(0, 6)-----------> K(0, 6/4)

1/4L(4, 4))-----------> L(1, 1)

1/4M(4, 2) )-----------> (1, 1/2)

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Answer:

75 and 45

Step-by-step explanation:

woman's age= w

son's age= s

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

comparing the two above:

The party hall offers a meal option for $50 per person is the cheaper option for Marc to invite 50 people.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given

Marc is planning a party at a party hall.

The party hall offers a meal option for $50 per person and that includes the hall rental for free.

= 50 × $50 = $2500

The hall-only rental option is $1,150, but that option allows an external caterer to provide the meal. Marc’s external caterer charges $27.50 per person.

= $1150 + $27.50 × 50

= $1150 + $1375

= $2525

$2500 < $2525

So, the party hall offers a meal option for $50 per person is the cheaper option for Marc to invite 50 people.

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The balance after one year if you deposit one $50 envelope each month, all year is  $613.95.

The balance after 1 year can be determined using this formula:

Amount deposited monthly x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082

Balance = 12.279082 x 50 = $613.95

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By adding  the monthly finance charge to the unpaid balance, the new account balance is $4,056.91.

What is addition?

Addition is a mathematical operation that involves combining two or more numbers to produce a sum or total. It is commonly denoted by the plus sign (+) and is one of the four basic arithmetic operations.

To find the new account balance, we need to add the monthly finance charge to the unpaid balance.

First, we need to calculate the monthly finance charge:

Monthly finance charge = 1.75% of unpaid balance

= 0.0175 * $3,987.11

= $69.80

Next, we add the monthly finance charge to the unpaid balance:

New account balance = Unpaid balance + Monthly finance charge

= $3,987.11 + $69.80

= $4,056.91

Therefore, the new account balance is $4,056.91.

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Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;

$78,000

An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.

The annual salary of Winston as an accountant = $60,000

The amount Winston's financial asset generates = $4,000 per year

The cost of running the business = $8,000

The amount Winston earns as revenue = $150,000

Therefore;

Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000

The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business

The cost of running the business = $8,000

The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost

The total cost = $60,000 + $4,000 + $8,000 = $72,000

The economic profit = The total revenue - The total cost

Therefore;

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In the first question, we are given a fraction and a decimal to compare between them.

Answer:

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Step-by-step explanation:

There are several useful rules regarding angles:

This last observation is a consequence of the 2nd and 3rd observations.

__

angle ECD

Using the last observation, ∠ECD = 124° -90° = 34°.

angle HGB

Again, using the last observation, ∠HGB = 110° -90° = 20°.

angle GBH

There are at least a couple of ways to find this one. We assume that lines FB and EC are parallel, so angles HBC and ECD are corresponding, hence congruent. Angle GBC is the supplement of of 110°, so is 70°. Then ...

  ∠GBH = 70° -34° = 36°

angle FGH

Again, this angle can be found multiple ways. Here, we'll use the sum of angles in triangle FGB.

  ∠FGB +∠GBF +∠BFG = 180°

  (∠FGH +∠HGB) +∠GBF +∠BFG = 180°

  ∠FGH +20° +36° +87° = 180°

  ∠FGH = 180° -143° = 37°

__

Least to greatest, the angles are ...

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.

Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.

The area of the space reserved for the tomato plant is:

12 square feet x (x/100) = 0.12x square feet

The area of the space available for onions is:

12 square feet - 0.12x square feet

Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:

(12 square feet - 0.12x square feet) / y

So the number of onion bulbs Mark can plant is:

(12 - 0.12x) / y.

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As a result, the isosceles triangle has a circumference of about 38.7 inches.

They apply stress and compression in various locations. Trusses can be built using triangles. Many structures, including roofs, bridges, and buildings, utilise trusses. Trusses' vertical and diagonal beams are joined to form triangles.

The isosceles triangle is split into two equal right triangles by the altitude because it bifurcates the base of the triangle. Let's name the hypotenuse of several of the right trapezoid "h" and the two equivalent sides of a isosceles triangle "x."

We can link the sides of both the right triangle using the Pythagorean theorem:

h² = x² + 21²

The other leg of the each right - angled triangle has length because the right and left triangles are congruent. (18/2) = 9 inches.

We can now link x and h using the Pythagorean theorem once more:

h² = 9² + x²

When we equalize these two equations, we obtain:

x² + 21² = 9² + x²

When we simplify this equation, we obtain:

21² = 9²

441 = 81 + x²

x² = 360

x = √360 = 6 × √10

Hence, the triangle's perimeter is as follows:

P = 2x + 18

P = 2 (6 × √10) + 18

38.7 inches for P (rounded to the nearest tenth of an inch).

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The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

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Answer:

Step-by-step explanation:

We have to follow these rules:

+/+ = +

-/- = +

+/- = -

-/+ = -

so

positive numbers:

+2/+3 ; -2/-3 ; -1/-3 ; +1/+3

negative numbers:

+2/-3 ; -2/+3 ; -1/+3 ; +1/-3