1. (-78) + (-98) =
2. (+45) + (+23) =
3. (+67) + (-56) =
4. (98) + (-73) =
5. (-971) + (+237) =​

Answer:

0

Step-by-step explanation:

forgotten sorry

The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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Answer:

Its right and scalene.

It has a right angle and all the sides are diferent.

Answer

KM = 30 units

Tan M = (8/15)

Explanation

The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.

The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.

The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,

a² + b² = (hyp)²

For this question,

a = KM = ?

b = KL = 16

hyp = LM = 34

a² + b² = (hyp)²

KM² + 16² = 34²

KM² + 256 = 1,156

KM² = 1,156 - 256

KM² = 900

Take the square root of both sides

√(KM²) = √(900)

KM = 30 units

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

Using M as the given non-right angle,

Hypotenuse = LM = 34

Opposite = KL = 16

Adjacent = KM = 30

Using trignometric identities, we know that TOA means

Tan M = (Opp/Adj)

Tan M = (16/30)

Divide numerator and denominator by 2

Tan M = (16/30) = (8/15)

Hope this Helps!!!

Answer:

A

Step-by-step explanation:

40% of 750 is 300 you can confirm this because 75 is 10% of 750 and 75 * 4 = 300.

Given:

Wholesale price for a pair of shoes is $7.50

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

y=381

Step-by-step explanation:

given: y=45  x=225

y=kx

45=k√(225)

45=k(15)

45=15k

45/15=15k/15

3=k

given: x=127  k=3

y=kx

y=3(127)

y=381

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.

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Answer:

12 one fourths

Step-by-step explanation:

There 3 × 1 1 / 4 = 3 × 4 = 12 one fourths in 3 .

Answer:

7

Step-by-step explanation:

1 3/4 = (4+3)/4 = 7/4 = 7 fourths

Answer:

The manager should use a sample size of 12 to determine the average travel expenditure

Step-by-step explanation:

Spent about 20 cents per mile. Distance of 15 miles

We have the mean per a distance, so we use the Poisson distribution. In this distribution, the standard deviation is the square root of the mean. So

\(\mu = 20*15 = 300, \sigma = \sqrt{300} = 17.32\)

Confidence interval:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

What sample size should the manger use to determine the average travel expenditure?

This is n for which M = 10. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(10 = 1.96\frac{17.32}{\sqrt{n}}\)

\(10\sqrt{n} = 1.96*17.32\)

\(\sqrt{n} = \frac{1.96*17.32}{10}\)

\((\sqrt{n})^2 = (\frac{1.96*17.32}{10})^2\)

\(n = 11.52\)

Rounding up

The manager should use a sample size of 12 to determine the average travel expenditure

Answer:

A

Step-by-step explanation: its questionable but i think its A

Step-by-step explanation:

to find f(5)   in f(x) , just put in '5' where 'x' is in the equation

f(5) = 3 (5) + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Let's evaluate the function for f(5)

Insert 5 everywhere x appears:

Therefore f(5) = 17

Answer:

The line cannot be extended to any point since we are trying to graph a zero that is equivalent to absolutely nothing

Step-by-step explanation:

choose as brainliest

Answer:

  $996.67

Step-by-step explanation:

The discounted price is ...

  (list price)(100% -70%) = $299.00

  list price = $299.00/0.30 . . . . . divide by 0.30

  list price = $996.67

Answer:

Yes, since log(2) and log(5) both exist as valid values for the logarithm.

didnt check if ur equation is correct though

Answer:The answer would be -1 7/8

Step-by-step explanation:

2 3

8

–

4 1

4

=  (2 – 4) + (

3

8

–

1

4

)

=  -2 +

3

8

–

1 × 2

4 × 2

=  -2 +

3

8

–

2

8

=  -2 +

3 – 2

8

=  -2 +

1

8

=  

–1 7

8

2 3/8+ -4 1/4= 

(2 + -4) + (3/8+-1/4)= 

-2 + 3/8 + -1 × 2 over 4 × 2=

 -2 + 3/8+ -2/8=

 -2 +3 + -2 over 8=

 -2 +18 =

 –1 7/8

Answer:

Y= -1/2x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(X+5) = 144   (if on side measures (x+5)  then P will be the 4 sides added

                        so adding the same value repeatedly means multiplication.

 -  Distribute:  4x + 20 = 144

-     Inverse op. to isolate the variable minus 20 from both sides

-     4x = 124

-     Divide by 4 on both sides

-      124/4 = 31

-      x = 31 units

Answer:

1 and 8 , and 4 and 8 are congruent

The rest are supplementary

Step-by-step explanation:

Answer:

no it's not possible

Step-by-step explanation:

because the bases of an exponential function and its equivalent logarithmic function are equal

As we can see from the graph, the function is shifted from one unit to the right, and two units up, and it is in an inverse way.

Then, we can express this as:

The value for a = -1.

The value for h = 1.

And the value for k = 2.

The way in which this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers is that: D. This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.

A sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.

This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly and as such resulting in a sample that is not representative of the entire population.

Generally speaking, a voluntary response sample is a data-collection technique (method) that is always biased because it only include individuals who choose to volunteer, unlike a simple random sample.

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The percentage of the semicircle shaded section is approximately 23,606 %.

The percentage of the area of the semicircle is equal to the ratio of the semicircle area minus the half-cross area to the semicircle area. In other words, we have the following expression:

\(r = \left(\frac{A_{s}-A_{h}}{A_{s}} \right)\times 100\,\%\)

\(r = \left(1-\frac{A_{h}}{A_{s}} \right)\times 100\,\%\) (1)

Where:

And the percentage of the shaded section is:

\(r = \left[1-\frac{4 \cdot (2\,cm)^{2}+4\cdot \left(\frac{1}{2} \right)\cdot (2\,cm)^{2}}{0.5\cdot \pi\cdot (16\,cm^{2}+4\,cm^{2})} \right]\times 100\)

\(r \approx 23.606\,\%\)

The percentage of the semicircle shaded section is approximately 23,606 %.

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Answer: A

-4(3e+4)=

-12e-16

Step-by-step explanation:

-7+3(-4e-3)=

-7-12e-9=

-12e-16

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)

Translation is defined as the movement on a straight line

Given: quadrilateral HIJK to that translated H'I'J'K'

To determine the algebraic rule, we need to get the coordinates of  HIJK and H'I'J'K' and then subtract them to get the translation:

H => (x, y) = (4, 6)  |  H' => (x, y) = (5, -2)

I =>  (x, y) = (6, 4)   |  I' =>  (x, y) = (7, -4)

J => (x, y) = (4, 2)   |  J' => (x, y) = (5, -6)

K => (x, y) = (4, 2)  |   K' => (x, y) = (3, -6)

Using points H and H' (you can use any point):

The difference in x is 5-4 = +1 => x+1

The difference in y is -2-6 = -8 => y-8

Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer

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Answer:

(x, y) => (x+1, y-8)

Step-by-step explanation:

Answer:

a. x = 13m, b. x = 12cm

Step-by-step explanation:

a. x² = 12² + 5² (Pyth. theorem)

x = 13 m

b. 15² = 9² + x² (Pyth. theorem)

x = 12 cm