How many solutions does the equation have?
x^4 + 7x^2 – 144 = 0

Answer:

a = 35°

Step-by-step explanation:

The angles in a triangle always add up to 180°

∴ 33 + 112 + a = 180

∴a=35°

Answer:

The answer is y=8/3x+5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=1-5/(-1.5)-0

m=-4/-1.5

m=8/3

y-y=m(x-x1)

y-5=8/3(x-0)

y-5=8/3x-0

+5 +5

y=8/3x+5

Answer:

Value of x = 12 unit

Step-by-step explanation:

Given:

tw = 3x+5

wx = 10

tx = 5x-9

Find:

Value of x

Computation:

tw + wx = tx

3x + 5 + 10 = 5x - 9

3x + 15 = 5x - 9

2x = 24

x = 12

Value of x = 12 unit

Answer:

8/105

Step-by-step explanation:

Answer:

the answer is 14/125

Step-by-step explanation: do keep flip switch

2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125

hopefully this helps out

Answer:

See Explanation

Step-by-step explanation:

Since both the arcs centered at A and B are drawn as radius AB.

Therefore, AB = BC = AC

So, triangle ABC will be an equilateral triangle.

Since, AB = 5 CM

THEREFORE,

AC = 5 CM

BC = 5CM

Measure of each angle of equilateral triangle is 60°

Therefore,

Angle A = 60°

Angle B = 60°

Angle C = 60°

Answer:

√89

Step-by-step explanation:

I assume you have to find the short cut, right?

5² + 8² = 25 + 64 = 89 = ( √89 )²

Answer:

Step-by-step explanation:

Area formula

Given

Then the area is:

Answer:

x = 0

Step by step explanation:

g ( x ) = 2x + 3

If x = 0,

g ( 0 ) = 2 (0) + 3

or, g ( 0 ) = 3

Hope that helped :)

Answer:

try 137

Step-by-step explanation:

it may be congruent since they're parallel

Answer:

turkey=$32.786

ham=$26.086

Answer:

I believe that each turkey would be 47.94$ for each piece And the ham would be 41.51$ for each piece.

Step-by-step explanation:

Hope this helps!

Answer:

x= 16/3 now change in mixed fractions

no 2

For the value of x =20 will result in lines m and n being parallel

a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher dimension spaces.

In the given figure, we need to find the value of x which makes the lines m and n are parallel.

parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

In the given figure we have two angles 6x+14 and 134.

We need to equate these to find the value of x.

6x+14=134

Subtract 14 from both sides

6x=134-14

6x=120

Divide both sides by 6

x=20

Hence for the value of x =20 will result in lines m and n being parallel

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Answer:

f(x)=-4x^2+10x-8

Step-by-step explanation:

well x normally equals 1 so replace all X's with 1 and solve

4*1=4 to the power of 2 is 16

10*1=10 subtract 8 equals  2 so

16-2= 14

F(x) is 14

the Y would be 14

Answer:

Here are Both Anwsers

Step-by-step explanation:

Answer:

She needs to save $43more dollars for the yoga class.

Step-by-step explanation:

You subtract 42 from 85 to get the difference.

Answer:

The initial investment is $821.58

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $90,597

Number of periods (n)= 25*12= 300

Interest rate (i)= 1.58% = 0.0158

To calculate the initial investment, we need to use the following present value (PV) formula:

PV= FV/(1+i)^n

PV= 90,597 / (1.0158^300)

PV= $821.58

The initial investment is $821.58

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

To find a rational number by the mean method.

Add the 2 fractions and divide the result by 2

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]

To add the fractions we require them to have a common denominator.

The LCM of 2 and 3 is 6 ← required common denominator

Multiply numerator/denominator of first fraction by 3

Multiply numerator/denominator of second fraction by 2

= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]

= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )

= [tex]\frac{5}{6}[/tex]

Now divide by 2

[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )

= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]

= [tex]\frac{5}{12}[/tex]

This is the fraction midway between the 2 given fractions

Given:

Total number of people who signed up = 76

Each boat can transfer = 9 peoples

To find:

The number of boats required.

Solution:

We know that,

[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]

On substituting the values, we get

[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]

[tex]\text{Required number of boats}=8.44...[/tex]

Number of required boats must be a whole number. So, approximate the data to the next whole number.

[tex]\text{Required number of boats}=9[/tex]

Therefore, the required number of boats is 9.

Answer: 21/44

Step-by-step explanation:

Given that:

Bag contains :

6 red apples

6 yellow apples

Number of samples drawn = 3

Probability that sample contains more red than yellow :

Then from the three samples, red = 2 and yellow = 1 or red for all 3

Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320

Prob RRY = (6/12)(5/11)(6/10)= 150/1320

Prob RYR is (6/12)(6/11)(5/10)= 180/1320

Prob YRR is (6/12)(6/11)(5/10)=180/1320

120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44

9514 1404 393

Answer:

Step-by-step explanation:

2. The x-value of the given points is the same, so the points both lie on the vertical line ...

  x = P

__

1. The slope of a vertical line is "undefined".

__

3. Given that P ≠ 0, the vertical line is parallel to the y-axis, so there is no y-intercept.

__

4. A line perpendicular to a vertical line will be horizontal. A horizontal line has a slope equal to zero.

Answer:

y = -3

Step-by-step explanation:

The equation of the line is y = -x -2

We plug in the given x value into the equation to find y.

y = -(1) - 2

Simplify.

y = -3

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -3)/(4 -5) = -2/-1

  m = 2

The slope of the line is 2.

Answer:

2

Step-by-step explanation:

ΔY = 1 – 3 = -2

ΔX = 4 – 5 = -1

two negatives make a positive

Answer: The probability is 1/9.

Step-by-step explanation:

First, let's define the possible outcomes of each dice:

Red: Forward (4 times), Backward (2 times)

Green : {1, 1, 2, 2, 3, 4}

We want to find the probability of moving backward 2 spaces.

Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.

First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:

p1 = 2/6 = 1/3.

And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):

p2 = 2/6 = 1/3.

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:

P = p1*p2 = (1/3)*(1/3) = 1/9.

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to calculate the distance between (-3, 2) and (5, -4):

[tex] d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2} [/tex]

[tex] d = \sqrt{(8)^2 + (-6)^2} [/tex]

[tex] d = \sqrt{64 + 36} [/tex]

[tex] d = \sqrt{100} = 10 [/tex]

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Plug in the values

[tex] M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2}) [/tex]

[tex] M(\frac{2}{2}, \frac{-2}{2}) [/tex]

[tex] M(1, -1) [/tex]

✅The coordinate ofthe deli is (1, -1)

Answer:

A

Step-by-step explanation:

8.5 x 8.5= 72.25

so basically it's the closest answer

Answer:

Step-by-step explanation:

the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.

Bias occurs when a particular portion of the population is given more weight or have a higher priority during sample selection which in turn affects the outcome and result of our result as it won't be representative of the population. The type of bias introduced in the scenarios above are :

Selection bias occurs when only a particular faction of the population is used rather than the entire population during sample selection. Rather than making selection from the entire students, only those who signed for remote learning were sampled.

Non - response bias occurs when a large portion of the selected sample fail to participate in a survey. With only 28% response and 72% non - responsive. Non - response bias has creeped in.

Undercoverage bias is usually associated with convenience sampling as the selection made might fail to randomly cover the entire population.

Hence, selection, non - response and Undercoverage bias are present in the selection made by the principal.

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Answer:

1a. 250

1b. 140

2a. 2530

2b. 250

Step-by-step explanation:

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 20 is about 4.472. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.

The reason why 20 is not a square number is because it's square root is not an integer.

It follows from the task content that we explain why 20 is not a square number.

First, a square number is one whose square root is an integer. Hence, such a number is a perfect square.

On this note, 20 is not a square number because it's square root is not an integer.

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Answer:

139 degrees

Step-by-step explanation: