UJUU J
Given p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24) = 0
a) Check by the remainder or factor theorems which of these is a factor of the polynomial
p(a): (a - 1), (a - 2) or (a + 4).
b) By the remainder theorem, state the remainder when p(a) is divided by the binomial
which are not its factors.
c) Use the factor from (a) to divide p(a) by long division.
d) Use the factor from (a) to divide p(a) by synthetic division. (your answer should
correspond with that from (c)).​

Answer:

Current worth of stock is $141.538

Current worth of stock rounded to nearest cent is $142

Step-by-step explanation:

price of stocks= $141

percentage increase in price of stocks = 1.8% of initial price of stock

dollar value increase in price of stocks = 1.8% of initial price of stock

increase in price of stocks = 1.8% of  $141

increase in price of stocks = 1.8/100 * $141 =$ 253.8/100 = $2.538

Current worth of stock = initial price of stock+increase in price of stocks

substituting the value of initial price of stock and increase in price of stocks we have

Current worth of stock =$141 + $2.538 = $141.538

Since we need to find stock worth now, to nearest cent, as after decimal there .5 and any value greater than or equal to .5 is rounded to one then after rounding,  $141.538 becomes  $142

Answer:

Step-by-step explanation:

The significant figures of a number that carry meaningful contribution to its measurement resolution

Answer:

the radius

Step-by-step explanation:

Answer:

radius

Step-by-step explanation:

Answer: i dont know

Step-by-step explanation:

Answer:

The p-value will be "0.0549".

Step-by-step explanation:

The given values are:

Time, t = 15 minutes

Df, σ = 25-1 = 24

Now,

⇒  [tex]H_{0}:\sigma^2\leq 150[/tex]

and,

⇒  [tex]H_{1}:\sigma^2>150[/tex]

As we know,

Chi square = [tex]\frac{(n-1)s^2}{(\sigma^2)}[/tex]

On putting the values in the above formula, we get

⇒                = [tex]\frac{24\times 15^2}{150}[/tex]

⇒                = [tex]\frac{24\times 225}{150}[/tex]

⇒                = [tex]36[/tex]

Therefore, p-value = 0.0549

The p-value determined > 0.05, the null hypothesis also isn't dismissed at point 0.05.

Answer:

Question 1) $0.08 per oz

Question 2) $0.09 per oz

Step-by-step explanation:

You have to divide the price by how many ounces there are.

$1.92 / 24 = $0.08

$1.35 / 15 = $0.09

Answer:

0.08.

0.09

Step-by-step explanation:

Answer:

  A. 11•(8 + 7)

  B. 8•(11)-7•(11)

  C. 11•(7) + 11•(8)

Step-by-step explanation:

The commutative property of multiplication lets you swap the order of the factors in the product:

  (8 +7)•11 = 11•(8 +7)

The distributive property lets you eliminate parentheses:

  (8 +7)•11 = 8•11 +7•11

And the commutative properties of addition and multiplication let you rearrange this sum of products to ...

  (8 +7)•11 = 11•7 +11•8

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

sinH= hypotenuse/opposite = (2.9/6.6)

H = sin^-1 ( 2.9/6.6)

​H=26.065≈26

Answer:

C. Rectangle

Step-by-step explanation:

It will result in to a rectangle

Answer:

[-2; 1 ] is the new column vector

Step-by-step explanation:

See explanation in the attachment.

The value of a-2b as a column vector is [tex]\left[\begin{array}{c}-2&1\end{array}\right][/tex] .

A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.

For the given situation,

The matrix is

[tex]a=\left[\begin{array}{c}4&5\end{array}\right][/tex] , [tex]b=\left[\begin{array}{c}3&2\end{array}\right][/tex]

The operation is a - 2b. The matrix becomes

⇒ [tex]a-2b=\left[\begin{array}{c}4&5\end{array}\right] -2\left[\begin{array}{c}3&2\end{array}\right][/tex]

⇒ [tex]a-2b=\left[\begin{array}{c}4&5\end{array}\right] -\left[\begin{array}{c}6&4\end{array}\right][/tex]

⇒ [tex]a-2b=\left[\begin{array}{c}-2&1\end{array}\right][/tex]

Hence we can conclude that the value of a-2b as a column vector is [tex]\left[\begin{array}{c}-2&1\end{array}\right][/tex] .

Learn more about matrices here

https://brainly.com/question/18291235

#SPJ3

Answer:

A piece of tape: 15cm =150mm

=> The number of tape 5mm that could be cut: N = 150/5 = 30

Hope this helps!

:)

Answer:

4mm.

Step-by-step explanation:

Area of a Square is: [tex]A=s^2[/tex]

's' -side length

We are given the area of 16 square mm.

[tex]16=s^2\\\sqrt{16} =\sqrt{s^2}\\\boxed {4=s}[/tex]

The length of each side of the square is 4mm.

Answer:

4 mm

Step-by-step explanation:

Hope this helps

Answer:

936 is the correct option

Step-by-step explanation:

Answer:

5 hours=300minutes

Step-by-step explanation:

10/2=5 hours

To find the answer in minutes do

50*60 becuase there are 60 minutes in 1 hour.

5*60=300min

Answer:

12 minutes

Step-by-step explanation:

2 people=60 minutes

÷2             ×2

1 people=120 minutes

×10           ÷10

10 people=12 minutes

Answer:

x = 5.

Step-by-step explanation:

We can set up equivalent equations like this to solve:

2(x + 7) = x + 19

Distribute the 2, giving us:

2x + 14 = x+ 19

Move the variables to one side, and the numbers to the other, giving us:

x = 5

Answer:

b. Use an AD/AS diagram to show how a decrease in the inflation target can keep inflation and short-run output from starting to rise in 2021. Explain your diagram and what it reveals about monetary policy.

Answer:

938583

Step-by-step explanation:

Answer:

Hans deposits $6000 into an account.

=> Principal P = 6000

Simple interest rate 5% per year.

=> Rate R = 5% = 5/100 = 0.05

The formula to calculate the amount of interest after 4 years:

A = P x R x years = 6000 x (5/100) x 4 = 1200$

Hope this helps!

:)

Answer:

B. [tex]f(x)=-(x-4)^{2} -3[/tex]

Step-by-step explanation:

[tex]f(x)=x^{2}[/tex]

The transformations are:

Reflected upon the x axis (x is now negative):

[tex]f(x)=-x^{2}[/tex]

Moved 4 units to the right (instead of just the variable x, you have (x-4)):

[tex]f(x)=-(x-4)^{2}[/tex]

And finally moved 3 units down (so now it's minus 3):

[tex]f(x)=-(x-4)^{2} -3[/tex]

Hope this helps! :]

Answer:

  5 feet

Step-by-step explanation:

Add 0.25 to both sides of the equation:

  4.75 +0.25 = x - 0.25 +0.25

  5.00 = x

The original height of the water in the pool was 5.00 feet.

Answer:

5 feet

hope this helps

Answer:

Only Figure 1 and Figure 3 Are Similar.

Step-by-step explanation:

Figure 1 and Figure 3 are proportional by 1:4 while the Figure 2 is not proportional to any of them.

Answer:

[tex]-2\dfrac{3}{8}[/tex]

Step-by-step explanation:

Given the expression:

[tex]3\dfrac78 - 6\dfrac14[/tex]

We are to simplify and obtain an equivalent expression.

Step 1: Change to Improper Fractions

[tex]3\dfrac78 - 6\dfrac14=\dfrac{31}{8}-\dfrac{25}{4}[/tex]

Step 2: Take the Lowest Common multiple of the denominators

LCM of 8 and 4 is 8.

Therefore:

[tex]\dfrac{31}{8}-\dfrac{25}{4}=\dfrac{31-2(25)}{8}\\\\\dfrac{31-50)}{8}\\\\=-\dfrac{19}{8}\\\\=-2\dfrac{3}{8}[/tex]

Therefore, an equivalent expression to [tex]3\dfrac78 - 6\dfrac14[/tex] is [tex]-2\dfrac{3}{8}[/tex].

Answer

3  7/8+ (-6  1/4)

Step-by-step explanation:

Answer:

a < -1

Step-by-step explanation:

Okay, so we are given this equation:

t(x) = ax^5 + 2

Lets plug in -2 as x and see what happens.. t(x) can be 66..

[tex]a * (-2)^{5} + 2[/tex] = 66

-32a + 2 = 66

-32a = 64

a = -2

A is less than -1,

a < -1

Answer:

Step-by-step explanation:

The mean SAT score is [tex]\mu=600[/tex], we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it [tex]\sigma[/tex]) is

[tex]\sigma=48[/tex]

Next they draw a random sample of n=70 students, and they got a mean score (denoted by [tex]\bar x[/tex]) of [tex]\bar x=613[/tex]

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis [tex]H_0:\bar x \geq \mu[/tex]

- The alternative would be then the opposite [tex]H_0:\bar x < \mu[/tex]

The test statistic for this type of test takes the form

[tex]t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}[/tex]

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

[tex]t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\[/tex]

Answer:

The null hypothesis is that the SAT score is not significantly different for the course graduates.

Alternate hypothesis: there is a significant difference between the SAT score achieved by the course graduates as compared to the non-graduates.

Apply the t-test. The Test Statistic value comes out to be t = 1.738 and the p-value = 0.0844

Since the p-value is larger than 0.05, the evidence is weak and we fail to reject eh null hypothesis.

Hope that answers the question, have a great day!

Answer:

x + 57i

Step-by-step explanation:

x - 7² – 8=0

x -49-8

x - 57 = x + 57(-1) ; i = -1( complex number notation)

x + 57i

Answer:

64 * b * b * b * b * b * b

Step-by-step explanation:

Apply exponent to number first, then expand the variable's exponent into repeated multiplication.

An exponent is a symbol that is written above and to the right of a mathematical expression to indicate the operation of raising a power.

The value of (2b²)³ without the exponents is 8 x b x b x b x b x b x b.

A symbol that is written above and to the right of a mathematical expression to indicate the operation of raising to a power.

a², b³

a and b are base.

2 and 3 are exponents.

We have,

(2b²)³

This can be written as:

= 2³ x [tex]b^{2\times3}[/tex]

[ 2 x 2 x 2 = 2³ = 8 ], [ a². a³ = [tex]a^{2\times3}[/tex] ] and [ (a²)³ = [tex]a^{2\times3}[/tex] ]

= 8 x [tex]b^{6}[/tex]

Since we have to write without the exponents we have,

= 8 x b x b x b x b x b x b

Thus the value of (2b²)³ without the exponents is 8 x b x b x b x b x b x b.

Learn more about exponents here:

#SPJ2

Answer:

15 is your answer

Step-by-step explanation:

2 x 5 =10

3 x 5 =15

Answer:

2.8

Step-by-step explanation:

using cosine rule

[tex]s^{2}[/tex] = [tex]1.3^{2} + 1.6^{2} - 2(1.3)(1.6)cos 157[/tex]

s = [tex]\sqrt{8.0793}[/tex] = 2.842 = 2.8

Answer: 7

Step-by-step explanation: whhhhyyyy

Answer:

the answer is attached to the picture

Answer:

  [tex]\log_{19}{361}=2[/tex]

Step-by-step explanation:

We know that taking logarithms performs the transformation ...

  [tex]b^e=x\\\\e\cdot\log{b}=\log{x}\quad\text{take logs}\\\\e=\dfrac{\log{x}}{\log{b}}\quad\text{divide by $\log{b}$}\\\\\log_b{x}=e\quad\text{use the change of base formula}[/tex]

Then for b=19, e=2, x=361, we have

  [tex]\boxed{\log_{19}{361}=2}[/tex]

Answer:

5 times 6 is 30 and 30 times 7 is 210

so 210 is your anser hop that helps

Answer:

210

Step-by-step explanation: First way: 5x6=30x7=210

2nd way/distributive property: 5(6x7) 5(6=30x7=210.