(Multiplying Linear Expressions MC)

Simplify −5g(3g + 4).
A: −15g + 4
B: −15g − 20g
C: −15g2 + 4
D: −15g2 − 20g

Answer:

2.36

Step-by-step explanation:

order of operations : pemdas

parenthesis, exponents

multiplication, division

addition, substraction

first parenthesis, so

(32-4) = 28

parenthesis again

[10+28] = 38

now you have

90/38 = 45/19 = 2.36

The simplified result of the expression 90÷[10+(32−4)] is approximately (2.36842105).To simplify the expression 90 ÷ [10 + (32 - 4)] using the order of operations (PEMDAS/BODMAS), we follow these steps one at a time:

Step 1: Perform the operations inside the innermost parentheses.

(32 - 4 = 28)

Now the expression becomes: (90 ÷ [10 + 28])

Step 2: Perform the addition inside the brackets. (10 + 28 = 38)

Now the expression becomes: \(90 ÷ 38\)

Step 3: Finally, perform the division.

(90 ÷ 38 ≈ 2.36842105) (rounded to 8 decimal places)

So, the simplified result of the expression is approximately (2.36842105).

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Answer:

The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:

a is the coefficient of the x^2 term, which is -3 in this case.

b is the coefficient of the x term, which is -5 in this case.

c is the constant term, which is 9 in this case.

Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:

a = -3

b = -5

c = 9

Answer:

the answer is 6 trust. poopoo

Angles of similar triangles are always congruent a: 63, b: 88, c: 29 and x = 53.75

Based on the information available, there are numerous equations for calculating the area of a triangle. As indicated in the calculator above, please use the Triangle formula for additional information and equations for calculating the area of a triangle as well as determining the sides of a triangle using whatever information is available.

find the ratio between the two triangles:

40 on the left corresponds to 50 on the right = 40/50 = 43/x

to find x:

40x = 43 × 50

40x = 215

x = 215/40

x = 53.75

"angles of similar triangles are always congruent."

a: 63

b: 88

c: 29

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Full question:

Given a pair of similar triangles, find the missing length x and the missing angles A, B, and C.

Answer:

49.45

Step-by-step explanation:

15% of 43 dollars is 6.45 and 43+6.45 is 49.45

Answer:

$49.45

Step-by-step explanation:

$6.45 tip + the subtotal, $43 = $49.45.

It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.

The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.

Substituting P = 306 in the equation, we get:

306 = 14 + 4d/9

Multiplying both sides by 9, we get:

2754 = 126 + 4d

Subtracting 126 from both sides, we get:

2628 = 4d

Dividing both sides by 4, we get:

d = 657 feet

The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.

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The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer:

Vertical angles are congruent

Step-by-step explanation:

Our vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersection straight lines are congruent, according to tutors.com. The proof is given showing that the <ADC and <EDF are vertical and exactly the same as each other.

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The Correl function is the easiest way to for calculating correlation between two variables.

What is correlation ?

correlation can be defined as the measure of relation between two variables.

In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.

To find correlation using data points are as follows  :

Determine your data sets.

Calculate the standardized value for your x variables.

Calculate the standardized value for your y variables.

Multiply and find the sum.

Divide the sum and determine the correlation coefficient.

Hence, The Correl function is the easiest way to for calculating correlation between two variables.

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Answer:

58

Step-by-step explanation:

This is a little tough to answer. It looks ambiguous. If BaD = 32 then <C is the compliment of BDC.

90 - 32 = 58 I think this is the intended answer.

However if 32 = ADC then <BDC = 16 (1/2 the entire angle at D)

Therefore <C = 90 - 16 = 74

In any event <ADB and <CDB are equal.

Answer:

Width of rectangle = 4 meter

Length of rectangle = 18 meter

Step-by-step explanation:

Given:

Perimeter of rectangle = 44 m

Assume;

Width of rectangle = a

Length of rectangle = 2a + 10

Find:

Length and width

Computation:

Perimeter of rectangle = 2[l + b]

2[a + 2a + 10] = 44

3a + 10 = 22

3a = 12

a = 4

So,

Width of rectangle = a = 4 meter

Length of rectangle = 2a + 10 = 18 meter

Answer:

your answer is c l hipe this helps u

Answer:

d

Step-by-step explanation:

aint no way in hell its not 11

Answer: y=3x-2

Step-by-step explanation:

3y-9x=-6

First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.

Answer:

This equation in slope intercept form would be y = 3x - 2

Step-by-step explanation:

The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3

So the answer is y = 3x - 2

Answer:

x = 3

y = 1

Step-by-step explanation:

1. First step is to identify which strategy you will use to solve this system of equations: I will use Elimination to solve this system of equation:

2. We need to that can isolate x or y, I have identified and we can multiply the top by -4 and bottom equation by 3.

We get:

\(\left \{ {{-3x+8y=-1} \atop {-4x+7y=-5}} \right.\)

Let’s add our factors in and eliminat the x’s:

\(\left \{ {{-4(-3x+8y=-1)} \atop {3(-4x+7y=-5)}} \right.\)

Now let’s factor the numbers through the equation and add the equations together:

\(\left \{ {{12x-32y=4} \atop {-12x+21y=-15}} \right.\)

Let’s add:

…and we get

\(-11y=-11\)

\(y = 1\)

We know that y = 1 so we can subsitute and figure out x:

\(-3x+8=-1\)

As you can see I have taken the firsth equation and substituted y = 1: Let’s find x:

\(-3x=-9\)

\(x = 3\)

x = 3 and y = 1

Answer:

y=1

x=3

Step by step explanation

Multiply eqn 1 by 4 and eqn 2 by 3

-12x+32y=-4

-12x+21y=-15

subtract eqn 1" from eqn 2"

11y=11

y=1

substitute y=1 into eqn 1

-3x+8(1)=-1

-3x+8=1

-3x=-8-1

-3x=-9

x=-9/-3

x=3

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer:

a.) 3/8n

b.) 3n+25

c.)4n-9

d.)1/2n-8

e.)2n-5

f.)50-3n

g.)2n+7

h.)2/5n +9

Step-by-step explanation:

Answer: To compare −7/8 and −5/6, we can convert them to a common denominator.

Multiplying the denominator and numerator of −7/8 by 6, we get:

−7/8 = −(7/8) × (6/6) = −42/48

Multiplying the denominator and numerator of −5/6 by 8, we get:

−5/6 = −(5/6) × (8/8) = −40/48

Now we can compare the two rational numbers:

−42/48 is less than −40/48, since negative numbers get larger as their value gets closer to zero.

Therefore, we have:

−7/8 < −5/6.

The correct sign to compare the two rational numbers is "<".

Step-by-step explanation:

For each variable, the possible values are:

a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

c) U = {0, 1, 2, 3, 4, 5, 6}

d) Z = {0, 1, 2}

Item a:

In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:

T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Item b:

In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:

X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Item c:

The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.

U = {0, 1, 2, 3, 4, 5, 6}

Item d:

Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.

Z = {0, 1, 2}

The question is incomplete. The complete question is:

"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)

a. T = the total number of pumps in use

b. X = the difference between the numbers in use at stations 1 and 2.

c. U = the maximum number of pumps in use at either station

d. Z = the number of stations having exactly two pumps in use"

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Answer:

5/3

Step-by-step explanation:

Answer:

For the raging river you multiply

X * 9 = Y

And for paddlers the equation is

X + 40 = Y

Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

The easiest way to find the slope is to find 2 points that are at an exact point. (-3,1) and (2,-3) are exact points. Start at (-3,1) and count to the right 5 and go down four. The slope would be \(\frac{5}{-4}\) or \(\frac{-5}{4}\).

I hope my explanation makes sense! :) If it doesn't make sense I can try to explain it better!

The answer is \(y^{4+6}\) = \(y^{10}\)

Answer:

0-y=3/4(x-2)

Step-by-step explanation:

To find the volume of the cube, Brayden has to multiply the area of one face by the width

The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

What is independent event ?

In probability theory, two events A and B are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. That is, the probability of A occurring does not change based on whether B occurs or not, and vice versa.

Mathematically, two events A and B are independent if and only if the probability of their joint occurrence is the product of their individual probabilities:

P(A and B) = P(A) x P(B)

If this equation holds true, then we can say that A and B are independent events. Otherwise, they are dependent events.

According to the question:
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

Two events A and B are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In this case, we want to know if being a girl and playing a sport are independent events.

We are given that P(girl) = 0.46, which means that 46% of the students surveyed are girls. We are also given that P(girl | plays a sport) = 0.54, which means that 54% of the students who play a sport are girls.

If being a girl and playing a sport were independent events, then we would expect P(girl | plays a sport) to be equal to P(girl). However, we see that P(girl | plays a sport) = 0.54, which is different from P(girl) = 0.46.

This means that the probability of a student playing a sport is dependent on their gender. Therefore, being a girl and playing a sport are not independent events.

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(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.

(b) The algebraic expression, 5x -2  - (5x + 2) is simplified as -4.

The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.

The given algebraic expressions are;

-5x - 2 + 5x + 2

5x -2  - (5x + 2)

The first algebraic expression is simplified as follows;

-5x - 2 + 5x + 2

collect similar terms;

(-5x + 5x) + (-2 + 2)

= 0 + 0

= 0

The second algebraic expression is simplified as follows;

5x - 2 - (5x + 2)

= 5x - 2 - 5x - 2

collect similar terms;

= (5x - 5x) + (-2 - 2)

= 0 - 4

= - 4

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The volume of the cone is 1004.8 cm³

The amount of space occupied by a three-dimensional figure as measured in cubic units.

given: l= 17 cm and r =8 cm

h= √l²-r²

= √17²-8²

=√289-64

= √225

h=15 cm

Volume of cone =1/3* π* r²*h

                           = 1/3*3.14* 8*8*15

                           = 1/3*3.14* 8*8*15

                           =1004.8 cm³

Hence, the volume of cone is 1004.8 cm³.

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