What are the x-intercepts of y=4x^2-16

Answer:

³√6

Step-by-step

³√6

The length of the smallest part of the line segment is 12 cm.

The line segment of length 96 cm is divided into 3 parts with the ratio of 2:9:5. The given ratio is a part-to-whole ratio. We can find the lengths of the parts by applying the formula:

Part = Whole × Ratio

Part 1 = 96 cm × (2/16)

= 12 cm

Part 2 = 96 cm × (9/16)

= 54 cm

Part 3 = 96 cm × (5/16)

= 30 cm

Therefore, the length of the smallest part of the line segment is 12 cm.

Learn more about line segment here:

https://brainly.com/question/30072605

#SPJ4

Answer:

b

Step-by-step explanation:

it's obvious that 33 can't equal two other numbers.

Answer:

B- 1,527

Step-by-step explanation:

Answer:

105 m²

Step-by-step explanation:

Dividing the figure into 3 rectangle will be easier to find its area.

The area of the larger rectangle

= (10-5) × 13

= 65 m²

The total area of the 2 smaller rectangles

= 2 × (4×5)

= 40 m²

The area of the figure

= 65 + 40

= 105 m²

Answer: 16+d>20

d>4

Step-by-step explanation:

d=digs

16+d>20

16-16+d>20-16

d>4

Answer:

Step-by-step explanation:

the anwser is the second dot

hope it helped

Answer:

a=110 b=35 c= 10 d=55 e=14 f=10

Step-by-step explanation:

a = 11c , 180-70=110

b=2*35 =70

c= 11*10=110

2d=110 , d=55

e=5*14=70

7f=70 , f=10

Answer:

Step-by-step explanation:

y=3x^2+12x = 3x (x+4)

zeroes: x={0, -4}

y = x^2+20x+100 = (x+10)^2

zeroes: x = -10 (twice)  

or x={-10, -10}

The average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

To determine the average speed during the interval between 1 second and 2 seconds, we need to find the displacement of the object during that time interval and divide it by the duration.

Looking at the graph, we can observe that the object's position increases from approximately 0 meters at 1 second to approximately 8 meters at 2 seconds.

Therefore, the displacement is 8 meters - 0 meters = 8 meters.

The duration of the time interval is 2 seconds - 1 second = 1 second.

To calculate the average speed, we divide the displacement by the duration:

Average speed = Displacement / Duration = 8 meters / 1 second = 8 m/s.

Therefore, the average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

To know more about Average speed refer here:

https://brainly.com/question/10449029#

#SPJ11

The value of x for the given equation is 1.

What is solving an equation?

A General Rule for Equation Solving

Remove parentheses from each side of the equation and combine similar phrases to make it simpler.

To separate the variable term on one side of the equation, use addition or subtraction.

To find the variable, use division or multiplication.

Consider the given expression

0.2(x + 1) + 0.5x = -0.3(x - 4)

Simplifying,

0.2x + 0.2 + 0.5x = -0.3x + 1.2

0.7x + 0.2 = -0.3x + 1.2

Add 0.3x on both sides,

0.7x + 0.2 + 0.3x = -0.3x + 1.2 + 0.3x

x + 0.2 = 1.2

Subtract 0.2 from both sides,

x + 0.2 - 0.2 = 1.2 - 0.2

x = 1

Hence, the value of x for the given expression is, 1.

To know more about solving an equation, click on the link

https://brainly.com/question/22688504

#SPJ4

Answer:10:05

Step-by-step explanation:

subtract 45 from 50!

Answer:

She started the test at 10:05 am

Step-by-step explanation:

Take the end time and subtract the time of the test

10:50-45 = 10:05

She started the test at 10:05 am

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

C

Step-by-step explanation:

Consider f(x) = x^3 and g(x) = (x+1).

Every point is then shifted to the left. Why?

We can plug in some points, let's say x=0.

For f(x), we get 0, for for g(x), we get 1.

Normally, f(x) = 1 when x = 1, but now g(x) = 1 at x = 0. Basically, every point is now shifted left. It's a general rule you have to remember. Sometimes, I used to mix up the plus and minus signs becuase + intuitively for me (at least after doing some physics) is right. But it actually shifts the graph to the left. Just plug in some points and see for yourself. It's honestly the best explanation I can give you at this point in time.

The power series expansion of f(x) = ln(1 + x²) about a=0 can be found using geometric series, differentiation, and integration of power series. The expansion is given by:

ln(1 + x²) = x² - (1/2)x⁴ + (1/3)x⁶ - (1/4)x⁸ + ...

To find the power series expansion, we start by considering the geometric series expansion of ln(1 + x). Using the formula for the sum of an infinite geometric series, we have:

ln(1 + x) = x - (1/2)x² + (1/3)x³ - (1/4)x⁴ + ...

Now, we substitute x² for x in the above series to get the power series expansion for ln(1 + x²):

ln(1 + x²) = x² - (1/2)(x²)² + (1/3)(x²)³ - (1/4)(x²)⁴ + ...

Simplifying the terms, we have:

ln(1 + x²) = x² - (1/2)x² + (1/3)x⁶  - (1/4)x⁸ + ...

The interval of convergence for this power series expansion is -1 < x < 1, which means the expansion is valid for values of x within this interval. The radius of convergence is 1, which indicates that the series converges absolutely for values of x within the interval -1 < x < 1.

Learn more about Power series expansions

brainly.com/question/16774911

#SPJ11

Answer:

1 one

Step-by-step explanation: just know

============================================================

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

The refractive index of the transparent slab is 2.511.

The formula for finding the refractive index is:

n = sin i/sin r

Here,sin i = sin θ1sin r = sin θ2

The angle of incidence is

i = θ1

= 47.5 °

The angle of refraction is

r = θ2

= 17.1 °

Using the above values, the refractive index can be found as:

n = sin i/sin r

= sin (47.5) / sin (17.1)

= 0.7351 / 0.2924

≈ 2.511

To know more about index visit:

https://brainly.com/question/83184

#SPJ11

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

we can conclude that T: M22 -> M22 defined by T(A) = A + AT is a linear transformation.

12.1 To prove that T(-v) = -T(v) for a linear transformation T: V -> W and v ∈ V, we can use the properties of linearity.

Let's consider T(v + (-v)), which simplifies to T(0) since v + (-v) = 0.

Using the property of linearity, we have:

T(0) = T(v + (-v))

     = T(v) + T(-v)

Since the zero vector is the additive identity in a vector space, T(0) = 0. Therefore, we can rewrite the equation as:

0 = T(v) + T(-v)

Now, we can subtract T(v) from both sides of the equation:

-T(v) = T(-v)

Hence, we have proved that T(-v) = -T(v) for any linear transformation T: V -> W and v ∈ V.

12.2 To show that T: M22 -> M22 defined by T(A) = A + AT is a linear transformation, we need to verify two properties: additivity and homogeneity.

Additivity:

Let's take two matrices A and B in M22 and scalar c ∈ R. We need to show that T(A + B) = T(A) + T(B).

T(A + B) = (A + B) + (A + B)T

        = A + B + AT + BT   (using the distributive property of matrix multiplication)

        = A + AT + B + BT

        = T(A) + T(B)

Therefore, T satisfies the additivity property.

Homogeneity:

Now, let's show that T(cA) = cT(A), where c is a scalar and A is a matrix in M22.

T(cA) = (cA) + (cA)T

     = cA + cAT     (using the distributive property of matrix multiplication)

     = c(A + AT)

     = c(T(A))

Hence, T satisfies the homogeneity property.

Since T satisfies both the additivity and homogeneity properties, we can conclude that T: M22 -> M22 defined by T(A) = A + AT is a linear transformation.

To know more about Linear Transformation related question visit:

https://brainly.com/question/13595405

#SPJ11

complete question:

Let V and W be vector spaces and : VW be a linear transformation. For v € V, prove that T(-v) = -T(v). (3) 12.2 Let T: M22 → M22 be defined by T(A) = A+AT. Show that T is a linear.

The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

To learn more about net change visit: https://brainly.com/question/29989249

#SPJ11

Answer:

1500

Step-by-step explanation:

Hope this helps~ :D

Answer:

1 meters=100cm

15 meters=100×15

=1500

The probability is approximately 0.9167 or 91.67%.

To find the probability that the sum of two dice numbers does not exceed 10, we need to determine the favorable outcomes (sums less than or equal to 10) and the total possible outcomes when rolling two dice.

There are 36 possible outcomes when rolling two dice because each die has six faces (1, 2, 3, 4, 5, and 6), and the total number of outcomes is obtained by multiplying the number of outcomes for each die (6 * 6 = 36).

Now let's determine the favorable outcomes (sums less than or equal to 10):

When the sum is 2: There is only one combination (1 + 1).

When the sum is 3: There are two combinations (1 + 2 and 2 + 1).

When the sum is 4: There are three combinations (1 + 3, 2 + 2, and 3 + 1).

When the sum is 5: There are four combinations (1 + 4, 2 + 3, 3 + 2, and 4 + 1).

When the sum is 6: There are five combinations (1 + 5, 2 + 4, 3 + 3, 4 + 2, and 5 + 1).

When the sum is 7: There are six combinations (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, and 6 + 1).

When the sum is 8: There are five combinations (2 + 6, 3 + 5, 4 + 4, 5 + 3, and 6 + 2).

When the sum is 9: There are four combinations (3 + 6, 4 + 5, 5 + 4, and 6 + 3).

When the sum is 10: There are three combinations (4 + 6, 5 + 5, and 6 + 4).

Adding up the favorable outcomes, we get: 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 = 33.

Therefore, the probability that the sum of the two dice numbers does not exceed 10 is given by:

Probability = Favorable outcomes / Total outcomes = 33 / 36 = 11/12 ≈ 0.9167.

So, the probability is approximately 0.9167 or 91.67%.

Learn more about  probability   from

https://brainly.com/question/30390037

#SPJ11

Answer:

18/7

Step-by-step explanation:

check this might work as I simply

Answer:

No of red marbles = 14

Step-by-step explanation:

Let x be the number of red marbles

x/63 = 2/9

x = 14

No of red marbles = 14

Answer: 14

Step-by-step explanation:

To test the claim that the percentage of readers who own a personal computer is different from the reported we can use a hypothesis test. Let's denote the population proportion as p.

The null hypothesis (H0) assumes that the population proportion is equal to the reported percentage: The alternative hypothesis (Ha) assumes that the population proportion is different from the reported percentage: . In this case, we can use the sample proportion  as an estimate for the population proportion. The test statistic can be calculated using the formula:

Simplifying this expression gives: Therefore, the value of the test statistic is approximately when testing the claim that the percentage of readers who own a personal computer is different from the reported percentage of

Learn more about test statistic here: brainly.com/question/17157066

#SPJ11

Answer:

Bridges that are over water and have lots of traffic

Step-by-step explanation:

Answer:

My biggest fear are roaches and spiders,

I cant help it they frighten me.

Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i