the circumference is about 37.70
According to the synthetic division below, which of the following statements are true? Check all that apply
The true statements are A , B , E
What is division?It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Here, In the synthetic calculation we use the coefficient of the dividend
with the factors of the function
∴ 2 , -2 , -12 are the coefficient of the dividend 2x² - 2x - 12
∵ The divisor is 3
∴ x = 3 is a root of F(x) = 2x² - 2x - 12
∵ x = 3 is the root of F(x) = 2x² - 2x - 12
- Subtract the two sides by 3
∴ x - 3 = 0
∴ (x - 3) is a factor of the dividend F(x) = 2x² - 2x - 12
- The quotient is the last line of the synthetic division
∴ The coefficients of quotient are 2 , 4
- The quotient is 1 degree less than the dividend
∵ The degree of the dividend is 2
∴ The degree of the quotient is 1
∴ The quotient is 2x + 4
* Lets check the answers to chose the write statements
A. The number 3 is a root of F(x) = 2x² - 2x - 12 ⇒ true
B. (x - 3) is a factor of 2x² - 2x - 12 ⇒ true
E. (2x² - 2x - 12) ÷ (x - 3) = 2x + 4 ⇒ true
Thus, the true statements are A , B , E.
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help please!!! will mark brainiest later
1. 1/2
2. The Y axis
3. 1 right and 1 down (1, -1)
Find the next term in this
arithmetic sequence.
Answer:
-11/4
Notice the minus sign is already written
Enter 11/4
Step-by-step explanation:
First find the common difference
9/4 - 7/2
9/4 - 14/4
-5/4
We are subtracting 5/4 each time
-3/2 - 5/4
-6/4 - 5/4
-11/4
Notice the minus sign is already written
Enter 11/4
Answer: The answer is -11/4
the common factors of two numbers are 1 2 3 and 6 what would the two numbers be
Answer:
Hello,
a,b are primes : 6*a and 6*b
Step-by-step explanation:
Imagine 2 differents primes numbers (not (2 or 3) ), a and b.
Number one is 2*3*a and number two is 2*3*b.
examples:
a=5 and b=7 , n1=2*3*5=30 ,n2=2*3*7=42 becaus gcd(n1,n2)=6
a=7 and b=11, n1=2*3*7=42 , n2=2*3*11=66
...
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.what is the solution set of this problem?
5(x + 27) >= 6(x + 26)
5x + 135 >= 6x + 156
-x >= 21
x <= -21
Answer: Choice B.
What is one possible answer when the number 1 is divided by a positive number larger than 1?
Answer:
1 / 2
Step-by-step explanation:
1 divided by 2 is 1/2
It being a decimal
Example: 1/2 = 0.5
[tex] {x }^{2} = {16}^{x} [/tex]
find the value of x.
show working please.
You can solve this problem by inspection or by plotting.
x^2 = 16^x
x^2 = 2^(4x)
x = 2^(2x)
Take log of both sides:
logx = 2xlog2
(logx)/x = 2log2
x^(1/x) = 2^2
x^(1/x) = 4
Plot problem:
x = -.5
Test (-.5)^(1/-.5) = 4, 4 =4
(-.5)^2 = 16^(-.5)
1/4 = 1/4
Answer is: -.5
There is a sales tax of $9 on an item that costs $120 before tax. The sales tax on a second item is $19.05. How much does the second item cost before tax?
Anything helps! :)
Answer:
254
Step-by-step explanation:
Divide 9 by 120, to get 0.075
Divide 19.05 by 0.075
Find the area of this circle
I don’t understand this
Answer:
75 in²
Step-by-step explanation:
A = πr² where radius is r = 5 in,
so,
πr²
=3×5²
=3×25 = 75 in²
Answered by GAUTHMATH
Holly invited her friends to her pool party. She decided to add trail mix to the snack menu. In the trail mix, the ratio of cups of peanuts to cups of raisins is 6:4. How many cups of raisins would be needed for a mix that included 9 cups of peanuts
Answer:my dog is cute
Step-by-step explanation:because
Use proportional reasoning to solve for the missing value in each of the following scenarios. Enter a numerical answer only.
1.) If a business jet burns 300 gallons of gasoline per hour, it burns____gallons of gasoline in a three hour flight.
2.) On average, one gallon of gasoline weights approximately six pounds. Fifty gallons of gasoline weighs____pounds.
3.) For every one yard, there are thirty-six inches. 2,124 inches =_______ yards
4.) A person who weighs 240 pounds burns 180 calories per mile of running.A person who weighs_____ pounds, burns thirty-six calories while running one mile.
5.) A rice casserole recipe serves four people and requires two tablespoons of butter. A rice casserole that requires six (6) tablespoons of butter serves____ people.
Answer:
1.) 900
2.) 300
3.) 59
4.) 48
5.) 12
Step-by-step explanation:
1.) 300 x 3 = 900
2.) 50 x 6 = 300
3.) 2,124 / 36 = 59
4.) 180 / 36 = 5 | 240 / 5 = 48
5.) 6 / 2 = 3 | 4 x 3 = 12
Hope this helps.
If there is something wrong, please let me know.
Proportional reasoning refers to the ability to compare and analyze relationships between two or more quantities that change in a consistent way. It involves understanding the concept of proportionality and applying it to solve problems.
1.) If a business jet burns 300 gallons of gasoline per hour, it burns 900 gallons of gasoline in a three-hour flight. This can be calculated by multiplying the burn rate of 300 gallons per hour by the duration of the flight, which is three hours.
2.) On average, one gallon of gasoline weighs approximately six pounds. Therefore, fifty gallons of gasoline weighs 300 pounds. This can be calculated by multiplying the weight of one gallon (six pounds) by the quantity of fifty gallons.
3.) For every one yard, there are thirty-six inches. To find the number of yards in 2,124 inches, we divide 2,124 by 36. The result is 59 yards. This can be calculated by dividing the total number of inches by the conversion factor of thirty-six inches per yard.
4.) A person who weighs 240 pounds burns 180 calories per mile of running. A person who weighs 48 pounds, burns thirty-six calories while running one mile. To find the number of pounds for which the person burns thirty-six calories while running one mile, we can set up a proportion. If we let x represent the weight in pounds, the proportion would be: 240 pounds / 180 calories = x pounds / 36 calories. Solving for x gives us x = 48 pounds.
5.) A rice casserole recipe serves four people and requires two tablespoons of butter. If a rice casserole requires six tablespoons of butter, it serves twelve people. This can be determined by setting up a proportion: 4 people / 2 tablespoons = 12 people / 6 tablespoons. Solving for the unknown number of people gives us 12 people.
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Can someone help me with this math homework please!
Step-by-step explanation:
the answer is
the Value of b to 2
Can anyone help since im struggling with finding the answer!
==========================================================
Explanation:
You'll need the chain rule for this one.
[tex]y = 3x^3 + 4x\\\\\frac{d}{dt}(y) = \frac{d}{dt}\left(3x^3 + 4x\right)\\\\\frac{dy}{dt} = \frac{d}{dt}\left(3x^3\right) + \frac{d}{dt}\left(4x\right)\\\\\frac{dy}{dt} = 3\frac{d}{dt}\left(x^3\right) + 4\frac{d}{dt}\left(x\right)\\\\\frac{dy}{dt} = 3*3\left(x^2\right)*\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = 9x^2\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\[/tex]
Now apply substitution
[tex]\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\\frac{dy}{dt} = (9*4^2+4)*2\\\\\frac{dy}{dt} = 296\\\\[/tex]
Answer:
296
Step-by-step explanation:
I just did the math and I also got 296.
please help,
all i have is 16 x 33 = 528cm2 ?!!!
Answer:
732 m^2
Step-by-step explanation:
Find the area of the full rectangle
33*24 =792
Find the area of the triangle
24-16 = 8
33 -18 =15
The area of the triangle is
A = 1/2 bh = 1/2 ( 15)(8) = 60
Subtract the triangle from the rectangle
792 - 70=732 m^2
Answer:
732 [tex]m^2[/tex]
Step-by-step explanation:
First we can find the area of the shape if the triangle wasn't there. That would be:
24×33=792.
Then, we can find the area of the triangle to subtract that from the total.
The formula for the area of a triangle is [tex]A=\frac{1}{2} bh[/tex].
So [tex]A=\frac{1}{2} (8)(15)[/tex]
I found the base of the triangle by subtracting 16 from 24.
I found the height of the triangle by subtracting 18 from 33.
Now, solve the equation.
[tex]A=\frac{1}{2}( 120)[/tex]
A=60
Then finally, Subtract 60 from 792.
You get 732.
I hope this helps!
i don't know just curious do you guys still got school?
yes i do got school
and what about you
the distance between the points (tan a, 1) , (0,2)
Answer:
Answer
Step-by-step explanation:
please like and mark me brainlist
A man sold a ratet for Rs 252 at 5% pofi't percent is the profit?
Answer:
Step-by-step explanation:
Selling price (SP) = Rs. 252
Profit% = 5%
[tex]CP=\frac{100}{100+profit}*SP\\\\\ = \frac{100}{105}*252\\\\[/tex]
CP = Rs. 240
Profit = 252 - 240 = Rs. 12
Which situation would be represented by zero?
A) a $3 loss and à $4 profit
B) a $3 loss
C) a $4 loss and a $4 profit
D) a $4 profit
Pls help me I’m timed, I’ll give brainliest
Answer:
C) a $4 profit and $4 loss is the correct answer.
The vertex of the parabola below is at the point (4, -1). Which of the equations
below could be the one for this parabola?
(4.-1)
O A. x=2(y + 1)2 + 4
B. x=-2(y+ 1)2+4
C. y=-2(x-4)2-1
O D. x=2(y-4)2-1
Answer:
B
Step-by-step explanation:
You can plug equations into Desmos as well. Here, you can first cross out c because the graph technically isn't a function. As for the others, D doesn't work because the vertex doesn't match and B is the answer because the parabola opens to the left.
The equations of the parabola is,
⇒ y = - 2 (x - 4)² - 1
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The vertex of the parabola below is at the point (4, -1).
Now, We can see that;
Parabola is open in - x axis.
And, The vertex of parabola is, (4, - 1)
Thus, The equations of the parabola is,
⇒ y = - 2 (x - 4)² - 1
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Pls answer these questions
Answer:
a. A is disjoint to B
b. A is subset of B
c. A -B
d. A union B complement
e. A intersection B complement
f. B-A complement
The Answer Pleassseeeeeeeeeee
Answer:
D. 2, -1
Step-by-step explanation:
I drew it out. I've never done this before
Which of the follow box-and-whisker plots correctly displays this data set?
15, 17, 22, 28, 32, 40, 16, 24, 25, 38
Answer:
d
Step-by-step explanation:
The box plot with the five number summary is represented in plot A. Therefore, option A is the correct answer.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
The given data in order is 15, 16, 17, 22, 24, 25, 28, 32, 38, 40.
Here, minimum = 15
Maximum = 40
First quartile = 17
Third quartile = 32
Median = (24+25)/2 = 24.5
Therefore, option A is the correct answer.
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Reflectional symmetry is the quality a design has if it maintains all
characteristics when it is lying in its plane.
A. translated along a line
B. rotated about an axis
C. rotated about a point
SUBMIT
Reflectional symmetry is the quality a design has if it maintains all characteristics when it is reflected across a line or plane. It does not involve translation, rotation about an axis, or rotation about a point.
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
Given data ,
If a design has reflectional symmetry, it looks the same when it is reflected across a line or plane. This type of symmetry is also known as mirror symmetry or bilateral symmetry.
For example, the letter "A" has reflectional symmetry because it looks the same when it is reflected across a vertical line. Similarly, a square has reflectional symmetry because it looks the same when it is reflected across both its vertical and horizontal axes.
Hence , Reflectional symmetry is the quality a design has if it maintains all characteristics when it is reflected across a line or plane.
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the floor is in the shape of a square. louis measures the area as 445 square feet. find the diagonal of the floor
Answer:
3
Step-by-step explanation:
:3
What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
A
X
c
B
13
D 3
Answer:
F. [tex] \sqrt{39} [/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex] {x}^{2} = 13 \times 3 \\ {x}^{2} = 39 \\ x = \sqrt{39} [/tex]
The value of x from the similar side triangles is x = √39
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔADC
Let the second triangle be ΔADB
Now , the side AD is the common side
The measure of ∠ADC = measure of ∠ADB = 90°
So , the triangles ΔADC and ΔADB are similar triangles
Now , corresponding sides of similar triangles are in the same ratio
So , AD / DC = BC / AD
x / 13 = 3 / x
Multiply by x on both side , we get
x² = 39
Taking square roots on both sides , we get
x = √39
Therefore , the value of x is √39
Hence , the similar triangles are solved
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Mrs. Bajracharya sold a 'Palpali Dhaka Topi' for Rs 870 and made a profit of 16%. Find her buying price of the 'Dhaka Topi'. And how much is her actual profit?
Answer:
Buying price = x = Rs 750
Profit = Rs 120
Step-by-step explanation:
Buying price = x
Selling price = Rs 870
Profit = 16% of x
Profit = selling price - cost price
16% of x = 870 - x
0.16 * x = 870 - x
0.16x = 870 - x
0.16x + x = 870
1.16x = 870
x = 870 / 1.16
x = 750
Buying price = x = Rs 750
Profit = 16% of x
= 0.16 * Rs 750
= Rs 120
Profit = Rs 120
!!ASAP!!
1.
25
40
75
2.
40
75
140
Answer:
C= 40
D= 75
Alternate interior angle
○●○●○●○●○
Hope it helps...
Have a great day!!!
Find DC, given that line AD is the angle bisector of
Answer:
2
Step-by-step explanation:
because line a d divided the triangle ABC is into equal parts therefore line BD is equal to line DC which is equal to 2
Please Help..........Will give brainliest
Answer:
x = 32
Step-by-step explanation:
Given
0.5x = 16 ( divide both sides by 0.5 )
x = [tex]\frac{16}{0.5}[/tex] = 32
Answer:
x=32
Step-by-step explanation:
You have to isolate x, so do the opposite operation, which is division (because 0.5 is multiplying by x). So you divide both sides by 0.5, x is isolated because 0.5/0.5 is 1 and 16/0.5 is 32.
Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.
Which choice represents the sample space, S, for this event?
S = {PQR}
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
S = {PQ, PR, QR}
S = {PQ, QP, PR, RP, QR, RQ}
Answer:
S = {PQ, QP, PR, RP, QR, RQ}
Step-by-step explanation:
We have 3 friends:
Patty (who we can represent with the letter P)
Quinlan (who we can represent with the letter Q)
Rashad (who we can represent with the letter R)
There are two positions, that can be represented as:
First-Second.
Where "first" refers to the student whose name is chosen first, this student will be the president.
"second" refers to the student whose name is chosen second, this student will be the vice president.
For example:
PQ
refers for the case where Patty is the president and Quinlan is the vice-president.
Notice that PQ is different than QP.
The sample space will be the set of all the possible combinations of the elements (P, Q, and R) of the form First-Second, which are just the permutations:
PQ, QP, PR, RP, QR, RQ
Then the sample space is:
S = {PQ, QP, PR, RP, QR, RQ}
The correct option is the last one.
Answer:
D. S = {PQ, QP, PR, RP, QR, RQ}
