Use Remainder Theorem to determine if x-2 is a factor of the polynomial f(x)=3x^5 - 7x^3 -
11x^2 + 2

What does the graph of eˣ look like?  It has an asymptote at y = 0, passes through (0, 1) and goes to ∞.

y = 4eˣ has a vertical stretch by a factor of 4 compared to the parent graph so the range is the same as it's parent graph.

Range: y > 0     Interval Notation: (0, ∞)

ANSWER

[tex]P(1<X<5)=0.51[/tex]

EXPLANATION.

The probability of selecting a number between 1 and 5 can be calculated by summing all probabilities between 1 and 5

[tex]P(1<X<5)=P(X=2)+P(X=3)+P(X=4)[/tex]

[tex]P(1<X<5)=0.07+0.22+0.22[/tex]

[tex]P(1<X<5)=0.51[/tex]

The given formula is A= bh/2

First multiply both sides by 2:

2A = bh

Now divide both sides by b:

h = 2A/b

The Correct answer would be )9

27

----     = k                 K- Constant Variation

3

Hope This Helps

-Dante

9 is correct

27/3 = 9

The 3 inside angles of a triangle need to equal 180 degrees.

You are given 28 for one.

The second on is adding 58 + 77 = 135 degrees.

X = 180 - 28 - 135 = 17 degrees

Answer:

In order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.

Explanation:

 To keep up with rising cost a carpenter needs to increase his $30.00 per hour rate by 18%.

So hour rate of carpenter = 30.00 $

Rate of increase = 18 % = 0.18

New hour rate = Initial hour rate + Rate of increase x Initial hour rate

                         = 30 + 0.18 x 30 = 30 + 5.4 = 35.40 $

So in order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.

The carpenter's new hourly rate after an 18% increase on his current rate of $30.00 will be $35.40 per hour.

To calculate the new hourly rate with an 18% increase, first find 18% of the carpenter's current $30.00 per hour rate. The formula for calculating the percentage increase is:

Percentage increase in wage = (Current hourly rate) x (Percentage increase) / 100

In this case, the calculation would be: $30.00 x 18% / 100 = $5.40.

Next, add this increase to the current rate to find the new rate:

New hourly rate = Current hourly rate + Increase in wage

Applying the values:

New hourly rate = $30.00 + $5.40 = $35.40 per hour.

So, the carpenter needs to charge $35.40 per hour to achieve an 18% increase in his rate.

Solution 1:

In the given statement :

"The settlers traveled west in covered wagons"

The Predicate is traveled west in covered wagons.

So option c. traveled west in covered wagons is the correct choice.

Solution 2:

In the given sentence:

"Soon, telegraph lines provided additional communication to the city."

The simple subject and verb are given by lines provided.

Answer : Option a: lines provided.

The statement "a cone is a polyhedron" is false. The correction option is B.)False

A polyhedron is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.

Whereas, a cone is a three-dimensional geometric figure that has a flat surface and a curved surface, and is pointed towards the top.

From the above definitions, we can infer that a cone is not a polyhedron.

Hence, the statement "a cone is a polyhedron" is false. The correction option is B.)False

Learn more on Polyhedron here: https://brainly.com/question/3204708

#SPJ1

Answer: True

Step-by-step explanation:

These are called integer numbers.

We start with natural numbers (or whole numbers), i.e. the set

[tex] \mathbb{N} = \{0,1,2,3,4,\ldots\} [/tex]

When you add the opposite of each whole number, you have the set of integers:

[tex] \mathbb{Z} = \{0,\pm1,\pm2,\pm3,\ldots\} [/tex]

Answer:the not called whole numbers there called integers

Step-by-step explanation: whole numbers are 0 1 2 3 4 and so on integers are 0 -1 -2 -3 -4 and so on

Answer:

148.8

Step-by-step explanation:

The original price of the necklace before the 20% increase was approximately £155 (£186 / 1.20).

To find the original price of the necklace before the 20% increase, we can use the formula:

Original Price = Final Price / (1 + Percent Increase)

Given that the final price is £186 and the increase is 20%, we substitute these values into the formula:

Original Price = £186 / (1 + 0.20)

Calculating inside the parentheses first:

1 + 0.20 = 1.20

Now, divide the final price by 1.20:

Original Price = £186 / 1.20 ≈ £155

So, the original price of the necklace before the increase was approximately £155.

Answer: The amount of snow the town get the rest of the week is given by

[tex]\frac{5}{24}[/tex]

Step-by-step explanation:

[tex]\text{ Total inches of snow town got in a week }=5\frac{1}{3}=\frac{16}{3}[/tex]

[tex]\text{ Amount of snow it is receiving on Monday}=2\frac{3}{4}=\frac{11}{4}\text{ inches }[/tex]

[tex]\text{Amount of snow it is receiving on Tuesday}=1\frac{1}{2}=\frac{3}{2}\text{ inches }[/tex]

[tex]\text{Amount of snow it is receiving on Wednesday}=\frac{7}{8}\text{ inches }[/tex]

[tex]\text{Amount it is receiving in remaining week is given by}[/tex]

[tex]\frac{16}{3}-(\frac{11}{4}+\frac{3}{2}+\frac{7}{8})\\\\=\frac{16}{3}-\frac{22+12+7}{8}\\\\=\frac{16}{3}-\frac{41}{8}\\\\=\frac{128-125}{8}\\\\=\frac{5}{24}\text{ inches }[/tex]

So, the amount of snow the town get the rest of the week is given by

[tex]\frac{5}{24}\text{ inches }[/tex]

Let us say original price of the laptop was x dollars.

Price paid by Tom for the laptop = $245.97

Now this price paid by tom was 3/5 of the original price.

So we can make an equation using this information as :

[tex]\frac{3}{5}x=245.97[/tex]

So here 3/5 is in multiplication on the left, so dividing it on the right side we have:

x=409.95

So the original price of the laptop was $409.95

Answer: The original price of the laptop was 409.95 dollars.

Answer:

$409.95

I hope this helps. Have a nice day :D

Answer:

Step-by-step explanation:

Final answer:

The price per pound of turkey is $7.98.

Explanation:

To find the price per pound, divide the total cost by the weight. In this case, Bryan paid $19.95 for 2.5 pounds of turkey. So, the price per pound is $19.95 divided by 2.5, which is $7.98 per pound.To calculate the price per pound of turkey that Bryan paid, we divide the total cost by the total weight. Bryan paid $19.95 for 2.5 pounds of turkey.

Divide the total cost by the total weight in pounds.

$19.95 ÷ 2.5 pounds = $7.98 per pound

Thus, the price per pound of turkey that Bryan paid is $7.98.

Total number of marbles = 10

Number of red marbles = 4

Number of blue marbles = 6

Probability = [tex]\frac{number of favorable outcomes}{total number of outcomes}[/tex]

The probability that the first marble is blue = [tex]\frac{6}{10}[/tex]

The probability that the first marble is red = [tex]\frac{4}{9}[/tex] ; 9 because 1 marble has already been taken out.

Joint probability= probability of event A * Probability of event B

= [tex]\frac{6}{10}\times\frac{4}{9}[/tex]=[tex]\frac{24}{90}= \frac{4}{15}[/tex]

Answer:

  4.  2

Step-by-step explanation:

The value of B in the expression is the numerator of the fraction in the exponent: 2.

[tex]27^{-\frac{2}{3}}=\dfrac{1}{\sqrt[3]{27^2}}[/tex]

_____

= 1/9

Equation is x= 558 t2/496

x=4.5

I got the answer from another brainly user asking the same question. Someone else answered it. I just typed your question into the search bar and got it. Good luck <3

the question in English

Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4

How much will the square side of the copy measure?

Will the size of the copy be larger or smaller than the original?

we know that

the scale factor is equal to [tex]\frac{3}{4}[/tex]

Let

x----------> the original length side

y--------> the copy length side

[tex]y=\frac{3}{4}*x[/tex]

we have that

[tex]x=5\ cm[/tex]

substitute the values

[tex]y=\frac{3}{4}*5=3.75\ cm[/tex]

therefore

the answer Part a) is

the length side of the copy measure is [tex]3.75\ cm[/tex]

Part b)

we know that

the size of the original photo is------> [tex]5*5=25\ cm^{2}[/tex]

the size of the copy is------> [tex]3.75*3.75=14.06\ cm^{2}[/tex]

so

[tex]14.06\ cm^{2} < 25\ cm^{2}[/tex]

therefore

the answer part b) is

The size of the copy be smaller than the original

[tex]x=2y^3+3\\\\\text{change x to y and y to x}\\\\y=2x^3+3\\-----------------------\\\text{if you did it}\\\\2y^3+3=x\ \ \ \ |-3\\\\2y^3=x-3\ \ \ \ |:2\\\\y^3=\dfrac{x-3}{2}\to\boxed{y=\sqrt[3]{\dfrac{x-3}{2}}}[/tex]

It would be 6 km because 4 1/2 divided by 3 = 1.5x4=6

Answer:

[tex]6^1[/tex]

Step-by-step explanation:

[tex]Use\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{6^{-3}}{6^{-4}}=6^{-3-(-4)}=6^{-3+4}=6^1[/tex]

(3w²r)²(-2w⁵r²)³ =​ When a power is raised to a power the exponents have to be multiplied.

​(3²w⁽²*²⁾r²)(-2³w⁽⁵*³⁾r⁽²*³⁾) = We can take out the constants

= (3²)(-2³)(w⁴r²)(w¹⁵r⁶) = We can group the same variables​

​= -72(w⁴w¹⁵)(r²r⁶) = When multiplying two powers that have the same base, you have to add the exponents.

​= -72w⁽⁴⁺¹⁵⁾r⁽²⁺⁶⁾ = -72w¹⁹r⁸

​Answer : F) -72w¹⁹r⁸

​Hope this helps!​​​​

​[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​​

Answer:

- The error is: [tex](\frac{31}{4})(\frac{1}{3})[/tex]

- The correct solution is:  [tex]\frac{93}{4}=23^{\frac{1}{4}}[/tex] (Carla can make approximately 23 recipes with the clay).

Step-by-step explanation:

1. Carla must divide [tex]\frac{31}{4}[/tex] ÷ [tex]\frac{1}{3}[/tex] as following:

- Take the reciprocal of [tex]\frac{1}{3}[/tex].

- Multiply the numerators and the denominators.

Then:

[tex](\frac{31}{4})(\frac{1}{3})=\frac{(31)(3)}{(4)(1)}=\frac{93}{4}[/tex]

2. As a mixed number:

[tex]\frac{93}{4}=23^{\frac{1}{4}}[/tex]

3. Therefore, Carla can make approximately 23 recipes with the clay.

Carla can make 23 full modeling clay recipes with 7 3/4 cups of salt, with a quarter cup of salt remaining.

To find out how many recipes of modeling clay Carla can make with 7 3/4 cups of salt, we need to divide the total amount of salt she has by the amount required for one recipe. Since one recipe requires 1/3 cup of salt, we will perform the following division: 7 3/4 divided by 1/3.

To simplify this, first, convert 7 3/4 to an improper fraction, which is (7 × 4 + 3)/4, or 31/4. Now, dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we multiply 31/4 by the reciprocal of 1/3, which is 3/1.

31/4 × 3/1 = 93/4, which simplifies to 23 1/4.

This means Carla can make 23 full recipes with a little salt left over.