what is the remainder for the synthetic division problem? (image attached)
Answer:
D
Step-by-step explanation:
3 | 1 5 - 8 6
↓ 3 24 48
----------------------
1 8 16 54 ← Remainder
Daniel is trying to pick out an outfit for the first day of school. He can choose from 4 pairs of pants, 3 t-shirts, and 3 pairs of shoes. How many different outfits does Daniel have to choose from?
To solve a system of equations, you cannot replace a variable with an equal value or expression
Answer: This is FALSE, you can replace a variable with an equal value or expression
Step-by-step explanation:
If you can substitute an unknown variable with another equal expression, you can then solve for another variable, and with that equal expression, solve for the first variable.
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please anwers
500x4-8/2
Answer:
the answer for 500×4-8/2 is 1996
If g(x) = 2x + 1, what is the value of g-1(g(12))?
Answer:
-22x-11
Hope this helped you, and have a good day!
solve using elimination
3x-y=17-x+y=-7
Answer:
x=5
Step-by-step explanation:
.
*BRAINLIEST* (EASY QA: Warm UP) Find a positive solution to each equation: x2 = 1/4
A.
x = 1
B.
x = 4
C.
x = 1/2
D.
x = 1/4
E.
No positive solution
SHOW EXPLANATION FOR BRAINLIEST
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's get it solved :} [/tex]
[tex] \sf{x² = \dfrac{1}{4}} [/tex][tex] \sf{x = \sqrt{\dfrac{1}{4}}} [/tex][tex] \sf{x= \pm{\dfrac{1}{2}}} [/tex][tex] \sf{x ={\dfrac{1}{2}} } [/tex][tex] \textsf{[ since we need positive solution ]} [/tex]
[tex] \textsf{Correct choice is C} [/tex]
Answer:
C. x = 1/2
Explanation:
[tex]\sf \rightarrow x^2 = \dfrac{1}{4}[/tex]
[tex]\sf \rightarrow x=\sqrt{\dfrac{1}{4}},\:x=-\sqrt{\dfrac{1}{4}}[/tex]
[tex]\sf \rightarrow x=\dfrac{1}{2},\:x=-\dfrac{1}{2}[/tex]
As asked for positive solution (+)
[tex]\sf \rightarrrow \sf \rightarrow x=\dfrac{1}{2}[/tex]
448,224,112 help me please
Answer:
2
Step-by-step explanation:
448 ÷ 224 = 2
224 ÷ 112 = 2
Hope this helps and have a nice day :)
how many gallons are in 8 1/4?
The total number of gallons in 8.25 quartz is 2.0625 gallons
Conversion of gallons to quartzAccording to the given question, we are to convert 8 1/4 quartz to gallons
According to the standard conversion
1 gallons = 4 quarts
x = 8.25 quartz
Take the ratio
1/x = 4/8.25
4x = 8.25
x = 8.25/4
x = 2.0625 gallons
Hence the total number of gallons in 8.25 quartz is 2.0625 gallons
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30 POINTS!!!!! (answer with work please)
1) A cone with volume 1350 m³ is dilated by a scale factor of 1/3. What is the volume of the resulting cone?
2) The top of the silo is a hemisphere with a radius of 11 ft. The bottom of the silo is a cylinder with a height of 38 ft. How many cubic feet of grain can the silo hold? Use 3.14 for pi and round your answer to the nearest cubic foot.
Answer: The answer is 50 m³.
Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume 1350 m³.
The volume of a cone with base radius 'r' units and height 'h' units is given by
[tex]V=\frac{1}{3}\pi r^2h.[/tex]
Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write
[tex]V=\frac{1}{3}\pi r^2h=1350[/tex]
⇒ [tex]\pi r^2h=4050.[/tex]
Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.
Therefore, the volume of the dilated cone will be
[tex]V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}[/tex] × [tex]\pi r^2h=\frac{1}{81}[/tex] × [tex]4050=50[/tex]
Thus, the volume of the resulting cone will be 50 m³.
Provide the reflected ordered pair for each of the given ordered pairs.
Answer:
so i have a little trick for you. Reflecting across the x axis is just turning (x,y) to (x, -y)
Reflecting across the y axis is just turning (x, y) to (-x, y)
If we substitute that in we can figure it out
so
(0, 3) we have to turn it to (x, -y), so it would end up being (0, -3). That is the reflection axross the x axis.
(-4,5) we have to turn it to (-x,y) which will be (4,5) because a negative and a negative is positive. so (4,5) is the ordered pair reflected across the y axis! Hope it helps :D
Step-by-step explanation:
Adele ate 1/4 of a hamburger in 5/6 of a minute. How many minutes will it take her to finish the entire hamburger?
Answer:
3 minutes 20 seconds
Step-by-step explanation:
Time taken to eat 1/4 of a hamburger = 5/6 minute
The entire burger = 4/4Since 1 x 4 = 4, it will take 4 times the amount of time taken to eat 1/4 of a hamburgerSolving
T = 5/6 x 4 minutesT = 20/6 minutesT = 3 2/6 mintuesT = 3 minutes 20 secondsPLEASE HELP ME IGIVE YA'LL 12 POINTS PLEASE HELP ME
Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
Answer:
Step-by-step explanation:
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
PLSS HELP ME WITH THIS!! 20 POINTSS The following graph shows a proportional relationship. What is the constant of proportionality between y and a in the graph?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The gradient of this graph is 2/3 so the equation of the line is
[tex]y= \frac{2}{3}x[/tex]
However, the question is asking for proportionality which has the equation:
[tex]y=kx[/tex]
So k in this instance is [tex]\frac{2}{3}[/tex].
Enter the value for x that makes the equation -4 (5 - x) + 7x = 189 true.
Answer:
x=19
Step-by-step explanation:
-4 (5 - x) + 7x = 189 Distribute
4x-20+7x=189 Combine Like Terms
11x-20=189 Add 20 To Both Sides
11x=209 Divide By 11
x=19
x-1/4x-8 divided x-2/x2-5x+6
Answer:
Step-by-step explanation:
Factorize x² - 5x + 6
x² - 5x + 6 = x² - 3x - 2x + 6
= x(x - 3) - 2(x - 3)
= (x - 3)(x -2)
[tex]\sf \dfrac{(x -1)}{4x -8} \ \div \dfrac{x-2}{x^2-5x + 6} = \dfrac{x -1 }{4x-8} * \dfrac{x^2 - 5x + 6}{x -2}[/tex]
[tex]\sf = \dfrac{(x -1)}{4x-8)}*\dfrac{(x-3)(x-2)}{(x-2)}\\\\ [\text{\bf (x-2) in the numerator and denominator will be cancelled}]\\\\\\= \dfrac{(x -1)(x-3)}{4x-8}\\\\=\dfrac{x*x + x*(-3) + (-1)*x + (-1)*(-3)}{4x-8}\\\\=\dfrac{x^2-3x -x + 3}{4x -8}\\\\=\dfrac{x^2-4x +3}{4x-8}[/tex]
A bucket holding several inches of water was placed under a leaking faucet. Water leaked into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour. The equation y=2x+4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket. What does the number 4 in the equation represent? A total of 4 inches of water leaked into the bucket. The bucket initially held 4 inches of water. The water level decreased by 4 inches per hour. The water level increased by 4 inches per hour.
The number 4 represents the initially held water of the bucket. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A bucket holding several inches of water was placed under a leaking faucet.
Water leaking into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour.
The equation y = 2x + 4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket.
Then the number 4 in the equation represents.
The number 4 represents the initially held water of the bucket.
More about the linear system link is given below.
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In the unit, you found the probability of a compound event by identifying the sample space. However, it is also possible to find the probability of a compound event without finding the sample space. To do this, multiply the probability of the first event by the probability of the second event. For example, the probability of flipping heads twice on a coin is . Using this idea, what is the probability that the next cougar and bear caught will both be unmarked?
Answer:
0.07%
Explanation:
I helped somebody else with the same question! haha
The polygons are similar but not necessarily drown to scale. What is the value of x?
Answer: 38
Step-by-step explanation:
Since the polygons are similar, the corresponding sides are all in the same proportions.
x-2/4.5 = 16/2 = 48/6
Solving for x
[tex]\frac{x-2}{4.5}=\frac{48}{6}[/tex]
[tex]\frac{x-2}{4.5}=8[/tex]
[tex]\frac{4.5\left(x-2\right)}{4.5}=8\cdot \:4.5[/tex]
[tex]x-2=36[/tex]
[tex]x-2+2=36+2[/tex]
[tex]x=38[/tex]
Therefore, the value of x is 38
how many different roots does the polynomial function have y = (x-2)(x+3)^2 have
Answer:
[tex]x=2,-3[/tex]
Step-by-step explanation:
Set [tex](x-2)(x+3)^2[/tex] equal to [tex]0[/tex].
[tex](x-2)(x-3)^22=0[/tex]
Solve for [tex]x[/tex].
If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].
[tex]x-2=0\\(x+3)^2=0[/tex]
Set the first factor equal to [tex]0[/tex] and solve.
Set the first factor equal to [tex]0[/tex].
[tex]x-2=0[/tex]
Add [tex]2[/tex] to both sides of the equation.
[tex]x=2[/tex]
Set the next factor equal to [tex]0[/tex] and solve.
Set the next factor equal to [tex]0[/tex].
[tex](x+3)^2=0[/tex]
Set the [tex]x+3[/tex] equal to [tex]0.[/tex]
[tex]x+3=0[/tex]
Subtract [tex]-3[/tex] from both sides of the equation.
[tex]x=-3[/tex]
The final solution is all the values that make [tex](x-2)(x+3)^2=0[/tex] true.
[tex]x=2,-3[/tex]
In one to two sentences, explain how California became the first state in the West.
(I don't have enough points to make it 100 so I'll make it 50 only if you answer correctly)
Find the slope of a line that passes through the points (2, 3) and (0, 2).
(slope, 50 points.)
Answer:
1/2
Step-by-step explanation:
To find the slope, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 2-3)/(0-2)
= -1/-2
= 1/2
Answer:
Slope = 0.5
Step-by-step explanation:
Given: Line passes through (2, 3) and (0, 2)
[tex]\text{Slope formula} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute the coordinates in the formula and solve for the slope;
[tex]\implies \text{Slope formula} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]\implies\text{Slope formula} = \dfrac{2 - 3}{0 - 2}[/tex]
[tex]\implies\text{Slope formula} = \dfrac{-1}{-2}[/tex]
[tex]\implies\text{Slope formula} = \dfrac{1}{2} = 0.5[/tex]
Therefore, the slope of the line is 0.5.
Given the tree concentric circles, with radius 1 unit, 2units, 3 units, do the following
For the 3 circles, in increasing order of the radius, we have:
L₁ = 2.09L₂ = 4.18L₃ = 6.28How to get the arc lengths of the circles?For a circle of radius R, the arc defined by an angle θ (in degrees) is given by:
L = (θ/360°)*2pi*R
Where pi = 3.14
In this case, we have 3 circles of different radius, and θ = 60°, then we have:
circle 1:
radius = 1 unit, then:
L₁ = (60°/180°)*2*3.14*1 = 2.09
circle 2:
radius = 2 units, then:
L₂ = (60°/180°)*2*3.14*2 = 4.18
circle 3:
radius = 3 units, then:
L₃ = (60°/180°)*2*3.14*3 = 6.28
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
Step-by-step explanation:
isosceles trapezoid = congruent sides in pairs and the same for the angles
angle 1 = 32°angles 2 & 3 = 148°the sum of the interior angles is 360°
so angle 1 = 32°
angles 2 and 3
(360 - 32 - 32) :2 = 148°
check
32 + 32 + 148 + 148 = 360°
the answer is good
help please i need help
Answer: it will be A And D
Step-by-step explanation:
What is the slope of the line that
passes through these two points?
(-1,4)
(2, 2)
slope
Remember, given two points,
(x1.yu)
(x, y
Slope
rise (y2-yı)
run (x2-1)
Answer:
slope= -2/3
explanation: 2-4/2+1
How close together can two prime numbers be if they are both greater than 5? Why can they not be closer?
Answer:
2 numbers apart (17 and 19)
Step-by-step explanation:
Eaxh other number is even, and 5, 3, and 9 are sometimes not prime. 1 is prime though.
Hope this helps!
A musician uploads a music video to the Internet and sends a link to the video to 4 friends. Each friend then sends the link to 4 different friends. These 4 friends then send the link to 4 different friends. The musician estimates that about 25% of the people who get the link won't view the video. Complete and evaluate an expression to show how many friends the musician estimates will see the video.
The expression is 43 − (43 ×
).
So, the musician estimates that
people will see the video.
Answer:
the answer is 43-43x
Step-by-step explanation:
I don't know if that was the answer that you where looking for. respond to my answer if this did or not help you.
Mrs. Homan's first period class watched out the window and recorded the color of the cars that drove by the school. They found that 19 our of 50 cars were red. If 7200 cars drive by the school each day, how many are expected to be red?
Answer:
2736/7200 or 19/50
Step-by-step explanation:
7200/50 = 144
19 x 144 =
2736/7200 =
1368/3600 =
684/1800
342/900
171/450
57/150
19/50
Which type of individuals within a species is most likely to survive and reproduce.
A. The best camouflaged against predators.
B. The most intelligent.
C. The strongest.
D. The best adapted to their environment.
Answer:
B.
Step-by-step explanation:
if smart, they can hide