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2 years ago

What numbers that have the same sign equal -4 3/5

Mathematics

2 answers:

djverab [1.8K]2 years ago

5 0

Answer:

In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B.[1][2] The symbol "=" is called an "equals sign". Two objects that are not equal are said to be distinct.

Step-by-step explanation:

For example:

{\displaystyle x=y}x=y means that x and y denote the same object.[3]

The identity {\displaystyle (x+1)^{2}=x^{2}+2x+1}{\displaystyle (x+1)^{2}=x^{2}+2x+1} means that if x is any number, then the two expressions have the same value. This may also be interpreted as saying that the two sides of the equals sign represent the same function.

{\displaystyle \{x\mid P(x)\}=\{x\mid Q(x)\}}{\displaystyle \{x\mid P(x)\}=\{x\mid Q(x)\}} if and only if {\displaystyle P(x)\Leftrightarrow Q(x).}{\displaystyle P(x)\Leftrightarrow Q(x).} This assertion, which uses set-builder notation, means that if the elements satisfying the property {\displaystyle P(x)}P(x) are the same as the elements satisfying {\displaystyle Q(x),}{\displaystyle Q(x),} then the two uses of the set-builder notation define the same set. This property is often expressed as "two sets that have the same elements are equal." It is one of the usual axioms of set theory, called axiom of extensionality.[4]

alexgriva [62]2 years ago

5 0

addition, subtraction, multiplication and division.

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larisa86 [58]

The lateral area is expressed as the product of the perimeter of the base and the height. While the surface area is the sum of all areas. The lateral area and the surface area of the box is calculated as follows:

LA = Ph
P = 2l + 2w = (2 x 17) + (2 x 5) = 44 cm
LA = 44 cm x 3.12 cm = 137.28 cm

SA = 2(lw + wh + lh)
SA = 2[(17x5) + (5x3.12) + (17x3.12)]
SA = 307.28 cm

Thus, the lateral area and the surface area are 137 cm and 307 cm, respectively.

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3 years ago

How can you use the x and y axis to help you determine unit rate?

leonid [27]

Answer:

x and y can help you show you the constant rate or the unit rate

Step-by-step explanation:

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3 years ago

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Sam and Avery are making small and large birdhouses for an upcoming craft show. They will sell the small birdhouses for $10 and

kupik [55]

Answer:

<h2>They should make 8 small ones and 12 large ones.</h2><h2>$260 they will make in total.</h2>

Step-by-step explanation:

They want to make as much money as possible.

Small bird house gives them $10 and large birdhouse give them $15.

Avery has time to decorate 12 birdhouse of either size.

Hence, to maximize the earning, Avery should build 12 large ones.

Sam can make any of the combination below in 24 hours.

4 Large and 1 small bird house, which will make $4 \times 15 + 10 = 70$

3 Large and 3 small bird house, which will make $3 \times15 + 3 \times10 = 75$

2 Large and 4 small bird house, it will gain $2 \times15 + 4 \times10 = 70$

1 Large and 6 small bird house, it will make $1 \times15 + 6 \times10 = 75$

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3 years ago

A population of values has a normal distribution with μ = 158.9 μ = 158.9 and σ = 90.4 σ = 90.4 . You intend to draw a random sa

rosijanka [135]

Answer:

$P_{39}=133.68$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 158.9

Standard Deviation, σ = 90.4

We are given that the distribution is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.39

$P( X < x) = P( z < \displaystyle\frac{x - 158.9}{90.4})=0.39$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 158.9}{90.4} = -0.279\\\\x = 133.6784\approx 133.68$

$P_{39}=133.68$

133.68 separates the bottom 39% means from the top 61% means.

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3 years ago

Find r'(t), r(t0), and r'(t0) for the given value of (t0). r(t) = (e^t, e²t), t0 = 0

creativ13 [48]

Applying the differentiation rule, it can be obtained that:

$r'(t)=(e^t,2e^{2t})$ , $r(t_0)=(1,1)$ and $r'(t_0)=(1,2)$ .

<h3>What is the formula for differentiating an exponential function?</h3>

The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.

In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.

$\frac{d}{dt}(e^{mt})=me^{mt}$ .

Given that $r(t)=(e^t,e^{2t})$ .

So, differentiating $r(t)=(e^t,e^{2t})$ with respect to $t$ , we get: $r'(t)=\left(\frac{d}{dt}(e^t),\frac{d}{dt}(e^{2t})\right)$ .

So, using the above formula $\frac{d}{dt}(e^{mt})=me^{mt}$ , we get: $r'(t)=(e^t,2e^{2t})$ .

Now, substituting $t=t_0=0$ in $r(t)=(e^t,e^{2t})$ and $r'(t)=(e^t,2e^{2t})$ , we obtain:

$r(t_0=0)=(e^0,e^{2\times 0})=(1,1)$ and $r'(t_0=0)=(e^0,2e^{2\times 0})=(1,2)$ .

Therefore, applying the differentiation rule, we get:

$r'(t)=(e^t,2e^{2t})$ , $r(t_0)=(1,1)$ and $r'(t_0)=(1,2)$ .

To know about the differentiation rule, refer:

brainly.com/question/25081524

#SPJ9

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10 months ago