Answer:
D
Step-by-step explanation:
To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.
Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.
Answer:
4
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex]r²h
Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]
Radius ≈ [tex]\sqrt{16}[/tex]
Radius ≈ 4
So, the radius is about 4 cm.
What is the equation of the graphed line written in standard
form?
X-4y=4
X+4y=4
Y=1/4x-1
Y=-1/4x-1
Explanation:
Choices C and D are in slope intercept form, and not standard form, so we can rule them out. It's been choice A and choice B.
Solve for y in choice A, and you should get y = (1/4)x-1. The slope is 1/4. The positive slope tells us the line moves uphill as you move from left to right. In contrast, x+4y = 4 has a negative slope because it solves to y = (-1/4)x+1. Therefore, choice B can be eliminated.
To confirm that choice A is the correct answer, plug in each point and see if we get a true equation. Let's start with (0,-1)
Plug in (x,y) = (0,-1)
x-4y = 4
0-4(-1) = 4 ... replace x with 0, replace y with -1
0+4 = 4
4 = 4 ... true equation, so the point (0,-1) works
Now try the other point
x-4y = 4
4-4(0) = 4 .... plug in (x,y) = (4,0)
4-0 = 4
4 = 4 ... works as well
Both points make the equation true, so they are both on the same line.
Lena has painted 3/4 of a room.
She has used 1 1/2 gallons of
paint. How much paint will
she need for the whole room?
Answer:
2 gallons
Step-by-step explanation:
she painted 3/4 of the room already and that took 6/4 to do if you do improper fraction and a common denominator. so it is taking her double the numerator so to paint 4/4 of the room or 1 whole room it would take 2 gallons. I hope this makes sense.
Which is correct?
O A. 463 < 437
OB. 763 > 746
OC. 674 < 643
OD. 734 > 743
O E. 634 > 647
Answer:
B
Step-by-step explanation:
763 is greater 746
Answer:
if my math is right its B
The area of a square is 196 square meters. What is
the length (in meters) of one side of the square?
Answer:
14 meters
Step-by-step explanation:
A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.
PLEASE HALP THIS IS DUE TODAY!!!!!
Abe can paint the room in 15 hours, Bea can paint 50 percent faster than Abe, and Coe can paint twice as fast as Abe. Abe begins to paint the room and works alone for the first hour and a half. Then Bea joins Abe, and they work together until half the room is painted. Then Coe joins Abe and Bea, and they work together until the entire room is painted. Find the number of minutes after Abe begins for the three of them to finish painting the room.
90 + 12/5 x 60=90 + 144 +100= 334
so 334 would be your answer
The number of minutes after Abe begins for the three of them to finish painting the room is; 344 minutes
We are told that Abe can paint the room in 15 hours.
Converting to minutes gives; 15 × 60 = 900 minutes
If the area of the room to be painted is x.
Then area painted per minute is; x/900
Now Bea paints 50% faster than Abe. Thus, rate bee can paint per minute is; 1.5x/900
Now,coe can paint twice as fast as Abe. Thus, rate coe can paint per minute is; 2x/900
Abbey works alone for the first hour and half. Thus, this is 90 minutes. Area covered by him in 90 minutes = (x/900) × 90 = x/10
Now, Bea joins Abe, and they work together until half the room is painted. Thus;x/10 + (x/900)t + (1.5x/900)t = x/2
Multiply through by 900 to get;
90x + xt + 1.5xt = 450x
Divide through by x to get;
90 + t + 1.5t = 450
2.5t = 360
t = 360/2.5
t1 = 144 minutes
Now, Coe joins Abe and Bea, and they work together until the entire room is painted. Thus;(x/900)t + (1.5x/900)t + (2x/900)t = x/2
Multiply through by 900/x to get;
t + 1.5t + 2t = 450
4.5t = 450
t = 450/4.5
t2 = 100 minutes
Thus, total time = 144 + 100
Total time = 244 minutes
Read more at;https://brainly.com/question/21407790
caroline bought 6 pieces of gold ribbon. each piece was 3/5 of a yard long. How many yards of ribbon did she buy in all?
Answer:
= 3 3/5 yards
Step-by-step explanation:
If 1 piece = 3/5 yard
What about 6 pieces = ?
= (6 x 3/5) ÷ 1
= 18/5 ÷ 1
= 18/5
= 3 3/5 yards
Hunter decides to invest $840,000 in a period annuity that earns a 4.2% APR,
compounded monthly, for a period of 30 years. How much money will Hunter
be paid each month?
Answer: $4107.74
Step-by-step explanation:
Ying Zyiyu covered the first 300 miles of a trip going at 60 mph and the last hundred going at 40 mph. What was his average speed for the entire trip?
NEED IN 5 MINUTES
Answer:
Average speed is (total distance)/(total time).
To find the total time we need to do some division.
Time for 200 miles=200/50=4 hours.
Time for 100=100/40=5/2 hours.
Total time=13/2 hours. Total distance=200+100=300 miles.
Av speed=300/(13/2)=300×2/13=600/13=46.15 mph approx.
what is the probability of spinning different numbers when the spinner below is spun twice
Answer:
25%
Step-by-step explanation:
Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.
Can he fit the TV in his room?
Answer:
No
Step-by-step explanation:
Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.
Solving for a we get a = [tex]\sqrt{c^2-b^2}[/tex]. Then plugging in the values for c and b, we get a = [tex]\sqrt{1024}[/tex] = 32
Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.
Answer:
No, the tv is 32 inches wide.
Step-by-step explanation:
[tex]a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32[/tex]
A bag contains 12 red, 30 blue, 20 green, 10 yellow, and 8 black marbles. Nancy chooses 1 marble from the bag. What is the probability that the marble is red, blue, or black?
A.18
B.38
C.58
D.78
Step-by-step explanation:
Total marbles = 12 + 30 + 20 + 10 + 8 = 80
Probability = 12 + 30 + 8 = 50
= 50 / 80 = 5 / 8
(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b
Find the value of a and the value of b
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
The requried simplified values of a and b are given as 4 and -30 respectively.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b
Comparing both sides,
a = 4 and b = -30
Thus, the requried simplified value of a and b are given as 4 and -30 respectively.
Learn more about simplification here:
https://brainly.com/question/12501526
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Mark knows that he will need to buy a New car in five years the car will cost 15,000 my man how much did he invest now at 8% compounded quarterly so that he will have enough to buy any car
Answer:
.8 * 15000 = 12000
Step-by-step explanation:
A runner won a 100-meter race with a time of 9.73 seconds. How can you use place value to explain this time?
Answer: The runner is going exactly 10.2774922919 meters per second
Step-by-step explanation: Using the ratio 100:9.73, we can simplify that to 10.2774922919:1
PLEASE HELP ME GREATLY APPRECIATE IT
Answer:
D
Step-by-step explanation:
Look at the attachment
What is the answer to this???
Answer:
Option C.
Step-by-step explanation:
It is given that each pair of polygon is similar.
From the given figure it is clear that,
[tex]\angle E=\angle B=83^\circ[/tex]
[tex]\angle F=\angle C=69^\circ[/tex]
[tex]\angle G=\angle D=129^\circ[/tex]
[tex]\angle H=\angle A=79^\circ[/tex]
Corresponding angles of similar figures are congruent. So,
[tex]EFGH\sim BCDA[/tex]
Corresponding sides of similar figures are proportional.
[tex]\dfrac{GH}{DA}=\dfrac{HE}{AB}[/tex]
[tex]\dfrac{6.4}{3.2}=\dfrac{9.6}{4x}[/tex]
[tex]2=\dfrac{9.6}{4x}[/tex]
[tex]8x=9.6[/tex]
[tex]x=1.2[/tex]
The value of x is 1.2 units.
[tex]AB=4x=4(1.2)=4.8[/tex]
[tex]CB=6x-2=6(1.2)-2=7.2-2=5.2[/tex]
Scale factor is
[tex]k=\dfrac{EF}{BC}=\dfrac{10.4}{5.2}=2[/tex]
Therefore, the correct option is C.
Vanessa drew a line that was 6 inches long. She divided the line into 7 equal-length segments.
How long was each segment?
7/6 in
1/7in
13in
6/7in
Answer:
1/7
Step-by-step explanation:
In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?
Answer:
Value of x = 25
Step-by-Step Explanation:
~ Knowing that, in a right triangle ~
sin(40-x)=cos(3x) ⇒
sin(40-x)=sin(90-3x) ⇒
40 - x = 90 - 3x ⇒
40 - x +3x=90 - 3x +3x =>
40+2x=90 =>
2x=50 =>
x = 25
Now it is proven to be that,
x = 25
HELP WITH WORD PROBLEM - The quality control engineer of top notch tool company finds flaws in 8 of 60 wrenches examined. Predict the number of flawed wrenches in a batch of 2400
Answer:
The expected ratio: 8/60 = x/2400
=> The number of flawed wrenches in a batch of 2400:
x = 2400*8/60 = 320
Which polygon is a base of the triangular prism?
Which polygon is a lateral face of the triangular prism?
D
G
с
Answer: A triangle is normally the base of a triangular prism. A rectangle is a lateral face of the prism.
Step-by-step explanation:
(D, G and c in the question are unclear.)
Answer:
polygon face - DFG ;; lateral face - DFBA
Step-by-step explanation:
got it right on edge
Triangles L M N and L K N are connected at side L N. A line is drawn from point M to point K and intersects side L N at point P. Which additional information, if true, would help to prove that ΔLMP ≅ ΔNMP by HL? Select two options. Point P is the midpoint of MK. Line MK is the perpendicular bisector of LN. ML ≅ MP ML ≅ MN PK ≅ PK
Answer:
Line MK is the perpendicular bisector of LN. and ML is congruent to MN
Step-by-step explanation:
Answer: Line MK is the perpindicular bisector of LN.
and ML is ≅ MN.
Step-by-step explanation:
I received a perfect score on edge
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
$8,965.21
$10,027.21
$8,966.02
$25,014.15
Pleeeease show your work on how you solved it because I keep getting 8,962.90 which isn't an option and last time I asked this question, no one explained how to solve it
Interest formula: A = Pe^rt
A = amount
P = principal amount
r = interest rate
t = time
We know that in the question we have:
P = 8,000
r = 0.019
t = 6
Now, solve with the given values:
A = 8000e^(0.019*6)
A = 8000e^(0.114)
A = 8966.016...
Round to the nearest hundredth:
8966.016... → 8,966.02
Therefore, the answer is [ $8,966.02 ]
Best of Luck!
Answer:
$8,966.02
Step-by-step explanation:
Amount = 8000 × e^(6 × 1.9/100)
Amount = 8000 × e^0.114
Amount = 8966.016999
what is the answer to 7+6y >19 ?
Answer:
[tex]y>2[/tex]
[tex]\{y\in \mathbb{R}|y>2\}[/tex]
The interval notation is: [tex](2, \infty)[/tex]
Step-by-step explanation:
[tex]7+6y>19[/tex]
[tex]6y>12[/tex]
[tex]y>2[/tex]
Mark is playing a trivia game on his first turn he lost 100 points his second 55 and his third 65 what is his score after the first three scores.
Answer:
-220
Step-by-step explanation:
Hey guys, Thank you guys so much for all your help. I need help one more time. Please and Thank you. <3
Answer:
For Figure A, dilation. Figure D, rotation. Figure B, reflection. Figure C, rotation. Figure E, translation. For the bonus: 1 to 2: translation. 2 to 3: rotation.
Step-by-step explanation:
without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct
Answer:
The shapes are the same, just one is sideways. They also have very similar measurements.
Step-by-step explanation:
Even so, when we check this we get:
(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2
when simplified (solved) this is: 18 3/8 = 18 3/8
Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone.
Answer:
1st one is 1/3. The 2nd one is πr²h. The Last one is 1/3πr²h.
Step-by-step explanation:
The formula for the volume of a cone with the same base and height will always be 1/3 the volume of a cylinder. The exact formula for the volume of a cylinder is just πr²h. So, if a cone is 1/3 of that, it will result in 1/3πr²h.
I need help hurry, please!!
Answer:
C
Step-by-step explanation:
Hope this helped stay safe!Answer: the answer is C !
Step-by-step explanation:
Subtracting a positive number gives the same result as adding the number which is its opposite. Is the opposite positive or negative?
Answer:
Step-by-step explanation:
Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.
