Factor 5x^2? + 10x + 2x + 4.​

Secured loans exist as loans for which the borrower posts some collateral. This exists in contrast to loans that exist created only on the ground of creditworthiness and trust in the borrower, for which no collateral exists pledged (unsecured loans).

The difference between a secured loan and an unsecured loan exists a secured loan needs collateral and an unsecured loan does not.

Secured loans exist backed by an asset, like a house in the case of a mortgage loan or a car with an auto loan. An unsecured loan on the other hand lives not connected to any of your assets and the lender can't automatically seize your property as payment for the loan.

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Answer:

\(P(11.5<X<15.5)=P(\frac{11.5-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{13.5-\mu}{\sigma})=P(\frac{11.5-13.5}{2}<Z<\frac{15.5-13.5}{2})=P(-1<z<1)\)

And we can find the probability with this difference

\(P(-1<z<1)=P(z<1)-P(z<-1)\)

And we can use the normal standard distribution or excel and we got:

\(P(-1<z<1)=P(z<1)-P(z<-1)=0.841-0.159=0.682\)

So then we expect a proportion of 0.682 between 11.5 and 13.5

Step-by-step explanation:

Let X the random variable that represent the price earning ratios of a population, and for this case we know the distribution for X is given by:

\(X \sim N(13.5,2)\)  

Where \(\mu=13.5\) and \(\sigma=2\)

We want to find the following probability

\(P(11.5<X<15.5)\)

And we can use the z score formula given by:

\(z=\frac{x-\mu}{\sigma}\)

Using this formula we got:

\(P(11.5<X<15.5)=P(\frac{11.5-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{13.5-\mu}{\sigma})=P(\frac{11.5-13.5}{2}<Z<\frac{15.5-13.5}{2})=P(-1<z<1)\)

And we can find the probability with this difference

\(P(-1<z<1)=P(z<1)-P(z<-1)\)

And we can use the normal standard distribution or excel and we got:

\(P(-1<z<1)=P(z<1)-P(z<-1)=0.841-0.159=0.682\)

So then we expect a proportion of 0.682 between 11.5 and 13.5

Answer:

135.58 just did this

Step-by-step explanation:

First, I calculated the amount of money he got on Monday. I multiplied. 8.50 x 7 which equals 59.50. Then, I calculated the amount of money he got on Tuesday. I multiplied 8.50 (since that is the number of money he gets paid) to 3.2 (since that’s the amount of hours he works). I got 27.200. Then lastly, I calculated the amount of money he got on Friday. So first I changed 5 3/4 into a decimal. This is 5.75. After, I multiplied 8.50 x 5.75, and got 48.8750.lastly, I added and got 135.575. So if you round it, it will be 135.58

Answer:

from the graph we can see that

for 2 gallones - it can travell 70 miles

4 gallones - 140 miles

we will take the first case

2 gallones - 70 miles

17 gallones - ? miles

cross multiply

\( \frac{17 \times 70}{2} \)

= 595 miles

Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer:

21.3 seconds

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

21.3 seconds

Step-by-step explanation:

600 ft (200 yds x 3) divided by 90 ft (length to a base) would be 6.6666667

6.6666667 times 3.2 equals 21.3

iinm

\(\text{Solve by plugging in 3 to x:}\\\\f(x)=5+4(3)^2\\\\f(x)=5+4(9)\\\\f(x)=5+36\\\\f(x)=41\\\\\boxed{f(3)=41}\)

Answer:

hope this helps

Step-by-step explanation:

f(x) = 5 + 4x^2, then f(3)

5 + 4(3)^2

5+4(9)

5+36

41

Answer:

Option 3.

Step-by-step explanation:

Let T=Total, B=Brother and S=Sister. By using given diagram, we get

\(n(B)=28+68=96\)

\(n(S)=82+68=150\)

\(n(T)=28+68+82+52=230\)

\(n(B\cap S)=68\)

Using this information, we get

\(P(B)=\dfrac{n(B)}{n(T)}=\dfrac{96}{230}\approx 0.42\)

\(P(S)=\dfrac{n(S)}{n(T)}=\dfrac{150}{230}\approx 0.65\)

\(P(S|B)=\dfrac{P(B\cap S)}{P(B)}=\dfrac{n(B\cap S)}{n(B)}=\dfrac{68}{96}\approx 0.71\)

\(P(B|S)=\dfrac{P(B\cap S)}{P(S)}=\dfrac{n(B\cap S)}{n(S)}=\dfrac{68}{150}\approx 0.45\)

The probability P(S|B) has the largest value.

Therefore, the correct option is 3.

The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

Answer:

Relationship between temperature at different times of the day during the Winter period in places like Alaska and Minnesota in the USA.

Step-by-step explanation:

An example of a relationship that would have a negative number in the domain or range would be the relationship between the temperature at different times of the day during the snow period in the winter. It's well known that in places like Alaska and Minnesota in the USA, that during the winter when there's very heavy snow, the average temperature is usually below 0°C. The temperature is the dependent variable and is most likely negative in those 2 states and thus the range would have negative numbers.

Fοr the given pοlynοmial c = -3 using 1. direct substitutiοn p(-3) = 241. 2. Remainder theοrem p(-3) = 301.

The value οf a pοlynοmial at a given pοint is related tο the remainder οf its divisiοn by a linear factοr by the algebraic theοrem knοwn as the remainder theοrem (x - c). The result οf dividing a pοlynοmial P(x) by (x - c), accοrding tο the theοrem, is equivalent tο P(c), where c is a cοnstant.

In οther wοrds, the final item in the bοttοm rοw οf the divisiοn table is identical tο P if we have a pοlynοmial P(x) and divide it by (x - c) using synthetic divisiοn (c).

The given pοlynοmial is \(p(x)=3x^4-2x^2-4x+4.\)

Fοr c = -3 we have:

\(P(-3) = 3(-3)^4 - 2(-3)^2 - 4(-3) + 4\)

      \(= 3(81) - 2(9) + 12 + 4\)

       \(= 243 - 18 + 16\)

        \(= 241\)

Using the remainder theοrem:

-3 | 3  0    -2  -4  4

   -9 27 -75  297

    3 -9 25 -79 301

The last term is the remainder, thus P(-3) = 301.

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Answer:

cm3,m3 etc...

Step-by-step explanation:

SInce 3D objects are solids and are different than 2D measurements,we use the measurement Centimeters "Cubed".You may ask what do you multiply to get the volume of a solid?Well the way i was taught was Length * Width * Height.(Stars mean Multiplication)

e.g. Lets say you have a cube,the length is 3,width is 3,height is 4 this is how it looks like

V=L x W x H

=3 x 3 x 4

=36 cm3

That's how Volume is calculated

Kevin's error is that he incorrectly identified the vertex of the parabola as (3, 2) instead of (2, 3), which resulted to the parabola opens downward. The correct vertex is at (2, 3) and the parabola opens upward.

You are correct that the vertex of the parabola can be determined using the equation f(x) = a(x - h)² + k, where the vertex is at (h, k). In this case, we have f(x) = -(x-2)² + 3, so the vertex can be found by setting x - 2 = 0, which gives x = 2. Plugging this value into the equation,

we get f(2) = -(2-2)² + 3 = 3, so the vertex is at (2, 3).

However, your reasoning for why h is positive is not correct. The expression x - h represents the horizontal distance from the vertex to any point on the parabola. So if x is greater than h, then the expression x - h will be positive, and if x is less than h, then the expression x - h will be negative. In this case, the vertex is at (2, 3), so we have h = 2. This means that any point to the right of the vertex will have a positive value of x - h, while any point to the left of the vertex will have a negative value of x - h.

Therefore, the correct explanation of Kevin's error is that he incorrectly identified the vertex as (3, 2) instead of (2, 3), and as a result, he also incorrectly concluded that the parabola opens downward. In fact, the parabola opens upward because the coefficient of the x² term, -1, is negative.

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Using a two-column proof, we can show that segment AM is congruent to segment СМ as explained below in the given table.

The image attached below shows parallelogram ABCD having two diagonals, AC and BD. To proved that segment AM is congruent to segment CM, we would apply the two-column proof as shown below:

Statement                                        Reason                                      

1. Parallelogram ABCD                  1. Given

2. AD║BC                                        2. Properties of parallelogram

3. <MAD ≅ <MCB;                           3. Alternate interior angles theorem.

<ADM ≅ <CBM                            

4. AD ≅ CB                                      4. Properties of parallelogram

5. ΔADM ≅ ΔCBM                           5. ASA congruence theorem

6. AM ≅ CM                                     6. CPCTC

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Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

Step-by-step explanation:

The correct equation that shows a step in the process of completing the square on the given quadratic y = x^2 + 8x – 3 is y = x^2 + 8x + 16 – 3 – 16. Completing the square involves adding and subtracting a constant term in order to create a perfect square trinomial. In this case, the constant term added is (8/2)^2 = 16, which is half the coefficient of the x-term squared. This step transforms the quadratic into the form (x + a)^2 + b, where a represents half of the x-term coefficient and b represents the constant term.

By adding 16 to the equation to create a perfect square trinomial, we need to subtract 16 afterward to maintain the equation’s balance. Thus, the equation becomes:

y = x^2 + 8x + 16 - 3 - 16

Simplifying further:

y = (x + 4)^2 - 19

Therefore, the correct equation is:

y = (x + 4)^2 - 19

Step-by-step explanation:

1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)

P(light OR domestic) = 0.62 + 0.70 − 0.55

P(light OR domestic) = 0.77

2. P(light AND not domestic) = P(light) − P(light AND domestic)

P(light AND not domestic) = 0.62 − 0.55

P(light AND not domestic) = 0.07

3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)

P(light GIVEN not domestic) = 0.07 / (1 − 0.70)

P(light GIVEN not domestic) = 0.233

4. Two events are independent if P(A) × P(B) = P(A and B).

P(light) × P(domestic) = 0.62 × 0.70 = 0.434

P(light AND domestic) = 0.55

Therefore, the type and location are not independent.

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Answer:

the answer is D The slope is -4 and the y-intercept is 2

Step-by-step explanation:

the equation use is y=mx+b slope repusents M and the y-intercept repusents B hope this helps you out

Answer:

96 people

Step-by-step explanation:

i used a calculator

Answer:

Step - 1: Finding probability of individual events

Given an urn contains 10 black and 5 white balls.

So, total number of balls = 10+5 = 15

Let A be the event of first ball being black and B denote the event of second ball being black

P(A) =

Total number of balls

Number of black balls

​

⇒ P(A) =

15

10

​

=

3

2

​

P(B) =

Total number of remaining balls

Number of remaining black balls

​

(as ball is not replaced)

⇒ P(B) =

14

9

​

Step - 2: Finding total probability

Probability that both the balls drawn are black, P = P(A) × P(B)

⇒ P =

3

2

​

×

14

9

​

⇒ P =

7

3

​

Hence, the probability that both the balls drawn are black is

7

3

​

Answer:

Its A

Step-by-step explanation:

\(\sf \bf {\boxed {\mathbb {GIVEN:}}}\)

Radius of the circle "\(r\)" = 5.5 yd

\(\sf \bf {\boxed {\mathbb {TO\:FIND:}}}\)

The area of the given figure.

\(\sf \bf {\boxed {\mathbb {SOLUTION :}}}\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf {b. \:47.5\:sq\:yd.}}}}}}\)

\(\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}\)

We know that,

\(\sf\pink{Area\:of\:a\:semi-circle}\) = \(\frac{\pi \: {r}^{2} }{2} \)

Using 3.14 for π, we have

\( = \frac{3.14 \times ( {5.5 \: yd})^{2} }{2} \\\)

\( = \frac{3.14 \times 5.5 \times 5.5 \: {yd}^{2} }{2}\\ \)

\( = \frac{94.985 \: {yd}^{2} }{2} \\\)

\( = 47.5 \: {yd}^{2} \\\)

Using \(\frac{22}{7} \) for π,

\( = \frac{22 \times 5.5 \times 5.5 \: {yd}^{2} }{7 \times 2} \\\)

\( = \frac{665.5 \: {yd}^{2} }{14}\\ \)

\( = 47.5 \: {yd}^{2} \\\)

Therefore, the area of the semi-circle is \(47.5\: yd²\).

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}\)

Answer:

$54.06

Step-by-step explanation:

Thank you for the detailed question!!

1. The watch costs $60, but it went on sale

2. The watch is now $51.

3. Now what you have to do is find the sales tax

51*6/10=3.06.

51+3.06= 54.06

The final price for your friends watch will be $54.06

The value of [x] is equivalent to 9.72 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

The triangle similarity criteria are:

Given is a triangle as shown in the image.

The smaller triangle and the larger triangle are similar to each other. So, we can write -

3x - 4 = 10x - 72

- 4 + 72 = 10x - 3x

68 = 7x

x = 68/7

x = 9.72 units

Therefore, the value of [x] is equivalent to 9.72 units.

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Answer:

3g can mean several things, depending on the context of the problem. g can be a variable, but it can also mean "grams"

Step-by-step explanation: