Solve for u.
8u+ 33 =-7(u-9)
Simplify your answer as much as possible.
u =
8
Х
?

Answer:

Step-by-step explanation:

Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer:

16/25 as a decimal is 0.64

Step-by-step explanation:

Answer:

A = $7,554.84

A = P + I where

P (principal) = $4,500.00

I (interest) = $3,054.84First, convert R as a percent to r as a decimal

r = R/100

r = 2.73/100

r = 0.0273 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,500.00(1 + 0.0273/12)(12)(19)

A = 4,500.00(1 + 0.002275)(228)

A = $7,554.84

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $4,500.00 at a rate of 2.73% per year compounded 12 times per year over 19 years is $7,554.84.

Step-by-step explanation:

An equation of the line that passes through the point (1, -3) and has a slope of -3 in slope-intercept form is y = 2x + 3.

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Next, we would determine the slope of this straight line by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (15 - 3)/(2 - (-4))

Slope (m) = 12/6

Slope (m) = 2.

Therefore, the equation in slope-intercept form is given by:

y = mx + c

y = 2x + 3

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Answer:

x = 12

y = 9

Step-by-step explanation:

\(\triangle ACD \cong \triangle BCD.. (given) \\\\

\therefore AC \cong BC\\\\

\therefore m(AC) = m(BC) \\\\

\therefore 2x = x + 12\\\\

\therefore 2x - x = 12\\\\

\therefore x = 12\\\\

Similarly \\\\

BD \cong AD\\\\

\therefore m(BD) = m(BD) \\\\

2y - 4= y + 5\\\\

2y - y = 4 +5\\\\

y = 9

\)

Answer:

55

Step-by-step explanation:

you would start by asking yourself what us 60÷12=5 then multiply 5×1=5 that would be the answers she got wrong so then you would get the answer for 60-5=55

\(44+\cfrac{7}{8}r\implies 44+\cfrac{7}{8}\left( -\cfrac{1}{2} \right)\implies 44-\cfrac{7}{16}\implies \cfrac{(16)44~~ - ~~(1)7}{\underset{\textit{we'll use this LCD}}{16}} \\\\\\ \cfrac{704~~ - ~~7}{16}\implies \cfrac{697}{16}\implies 43\frac{9}{16}\)

Answer:

0.98 also 98%

Step-by-step explanation:

In this question we have the Lower limit to be 0.16

We have the Upper limit to be 0.24

Such that (0.16+0.24)/2 = 0.40/2 = 0.20

Standard deviation= √(0.2x0.8/545) this gives 0.017134

Next we get margin of error

Margin of error = 0.24-0.20 = 0.04

Z multiplied by sd =0.04

Such that

Z = 0.04/0.017134 =2.33

On this z score, the Corresponding level of confidence is 0.98

Which is 98%

Answer:

Step-by-step explanation:

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

Answer

D and A?

Step-by-step explanation:

Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

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Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.

The exchange rate between Japanese Yen and Nepali Rupees is

1 JPY = 0.7184 NPR

Therefore, the exchange rate is  6,852 JPY = 6,320 NPR

Therefore, the exchange rate between Japanese Yen and Nepali Rupees is 0.7184 NPR per 1 JPY.

The exchange rate between Japanese Yen and Nepali Rupees is given by the following formula:

Exchange Rate = (Total Amount in Nepali Rupees/Total Number of Japanese Yen)

Exchange Rate = (Rs 6320/6852 Yens) = Rs 0.92 per Yen.

Therefore, the exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.

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The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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By adding the set of parentheses as shown above, we get an expression \(65 e^{0.68} \simeq 17.09\)

In mathematics, exponentiation is an operation involving two numbers, the base and the exponent or power. Exponentiation is written as bⁿ, where b is the base and n is the power; this is pronounced as "b to the n".

One possible way to create an expression using parentheses to get a value of 17 is:

((8 ÷ 2) + (9 × 9) - (10 × 2)) exponent 0.5

First, we evaluate the multiplication and division operations inside parentheses, since they have higher precedence than addition and subtraction.

\(((8 \div 2) + (9 \times 9) - (10 \times 2)) = (4 + 81 - 20) = 65\)

Then, we raise the result to the power of 0.68 which is the same as taking the square root:

65 exponent 0.68 ≈ 17.09

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Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Answer:

168

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

24*7=168

14*12=168

\( = > 6a - 2b\)

\( = > 6(5) - 2(7)\)

\( = > 30 - 14\)

\( = > 16\)

The one to one function define as a output is fix for one input

so for x give value a then invers of a is x that mean:

Yes, Matrix B is invertible.

And, The eigenvalues of B−1 are;

⇒ (5 ± 7.68) / 14 - 1

An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.

Given that;

B be a 2 ×2 matrix such that;

⇒ 7B² −5B + 3I = 0

Now,

Since, B be a 2 ×2 matrix.

And, The expression is,

⇒ 7B² −5B + 3I = 0

⇒ B² −5/7B + 3I/7 = 0

Multiply by B⁻¹, we get;

⇒ B - 5/7 + 3B⁻¹ = 0

Solve for B⁻¹;

⇒ 3B⁻¹ = - B + 5/7

⇒ B⁻¹ = - B/3 + 5/21

Thus, The matrix B is invertible.

And, The eigen value of B are;

⇒ 7B² −5B + 3I = 0

⇒ 7B² −5B + 3I = 0

⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7

⇒ B = 5 ± √25 - 84/14

⇒ B = 5 ± √- 59 / 14

⇒ B = 5 ± 7.68 i / 14

⇒ B - 1 = (5 ± 7.68) / 14 - 1

Thus, Matrix B is invertible.

The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1

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Step-by-step explanation:

angles 1 and 3 are supplementary angles (together they have 180°), because together they make sure that line f is a straight line, and there are no segments of the line angling "off". a straight line can be always seen as prolonged diameter of a circle. each side represents a half-circle with 180°.

a line intersecting 2 parallel lines has the same intersection angles with both lines, as parallel lines perfectly copy each other's behavior and attributes except for the y-intercept.

the angles of intersecting lines are the same in both sides of any of the 2 lines, they are just left-right mirrored.

therefore,

angle 1 = 82° = angle 2

angle 3 = 180 - angle 1 = 180 - 82 = 98° = angle 4

Answer:

  ∠1 = 82°

  ∠3 = 98°

Step-by-step explanation:

You want the measures of angles 1 and 3 where a transversal crosses parallel lines and one of the angles is marked as 82°.

The "alternate interior angles theorem" tells you that the alternate interior angles created by a transversal crossing parallel lines are congruent. Hence angle 1 is congruent to the one marked 82°.

  ∠1 = 82°

The angles of a linear pair are supplementary. Angles 1 and 3 form a linear pair, so ...

  ∠3 = 180° -∠1 = 180° -82°

  ∠3 = 98°

__

Additional comment

"Interior" angles are between the parallel lines. "Exterior" angles are outside the parallel lines. "Alternate" angles are on opposite sides of the transversal. "Consecutive" or "same-side" angles are on the same side of the transversal. (Angles 2 and 4 are "consecutive".)

"Corresponding" angles are in the same direction from the point of intersection of the transversal with the parallel lines. In this figure, angle 2 and the one marked 82° are corresponding. Corresponding angles are congruent. If you remember that, and that vertical angles are congruent, and linear pairs are supplementary, you can figure out all of the other relationships.

In the end, when the lines are parallel, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute and obtuse angles are supplementary. The angle relations themselves are pretty simple; the rest is a lot of vocabulary.

Answer:

\( \fbox{B. = −17 }\)

Step-by-step explanation:

Hope It's Helps``

Answer:

22,828

Step-by-step explanation:

Answer:

12.08-1.42=10.66

it takes 10.66 minutes on Thursday to run a mile