[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]
Please help, i will mark as brainliest
it is given that the volume of the paint, x litres, varies directly as the area of the wall, d m². if 3 litres of paints can paint 36 m² of wall, calculate the volume of the paint in litres, needed to paint a wall of 9 m in height and 5 m in width.
Answer:
3.75 L
Step-by-step explanation:
3 liters / 36 m^2 = x liters / 9 x 5 m^2
3 liters / 36 m^2 = x liters / 45 m^2
(45)(3) = (x)(36)
(135) = (x)(36)
x = (135)/(36)
x= 3.75 L
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving, how many servings can be made from three gallons?
Answer:
16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.
Therefore 48 * 4 = 192 servings.
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,
As we know,16 cups are in a gallon,
1 gallons = 16 cups
3 gallons = 3 × 16 cups
3 gallons = 48 cups
If 1 cup of milk works for 4 servings,
The number of servings that can be made from three gallons will be,
=48 × 4
= 192 servings.
Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
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Do number 5 please. Please bots don’t answer I’m just trying to get help!!!! :( please
Answer:
(a) 40 units
Step-by-step explanation:
32/16=2
20 times 2=40
Answer:
A
Step-by-step explanation:
Since square pyramids A and B are similar, they need to have similar lengths.
Pyramid B's lengths are 2 times larger than that of pyramid A.
Pyramid A: 16 units, 16 units, 20 units.
*2 *2 *2
Pyramid B: 32 units, 32 units, ? units
So, the missing side length has to be 20 *2 = 40 units.
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the greatest common factor of 3x^4-12x^2
Answer:
3x^2
Step-by-step explanation:
3x^4-12x^2
Factoring out 3x^2
3x^2 ( x^2 -4)
We can factor (x^2-4) since it is the difference of squares
3x^2 ( x-2) (x+2)
The greatest common factor is 3x^2
Let's find the G.C.F. (Greatest Common Factor) of 3x⁴-12x².
The key words here are "common" and "greatest".
Here are some common factors:-
3
3x
3x²
x
x²
And the greatest common factor is:-
3x²
[If Necessary]
Factor it out by dividing the terms in the polynomial by the GCF:-
x²
4
Subtract the terms:-
(x²-4)
And put the G.C.F. outside the parentheses:
3x²(x²-4)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles? Drag and drop the correct value into each box to make each statement true.
Answer:
Below in bold.
Step-by-step explanation:
By proportion she can make 3 1/3 * 1 / 2 1/2 truffles
= 10/3 * 1 / 5/2
= 10/3 * 2/5
= 20 / 15
= 1 1/3 dozen truffles from 1 pound chocolate.
1 1/3 dozen truffles is made from 1 pound
4/3 . . .. .. .. .. .. .. 1 pound
1 . . .. .. .. .. .. .. 3/4 ..
5 . . .. .. .. .. .. .. 3/4 * 5 = 15/4 pound of chocalote=
3 3/4 pounds chocolate.
Find the surface area of a cylinder with a base radius of 2in and a height of 4in use the value 3.14 for n
Answer:
75.36 in²
Step-by-step explanation:
The surface area of a cylinder can be found from the formula ...
A = 2πr(r +h) . . . . . where r is the radius and h is the height
__
Using the given dimensions, we find the area to be ...
A = 2(3.14)(2 in)(2 in + 4 in) = 75.36 in²
The surface area of the cylinder is about 75.36 square inches.
A function, f(x), has a domain of --10 ≤ 2 < 20 and range -40 < f(I) < -10.
f(1)=-13
f (-10) =-40
Select each statement that must be false about f(x).
1. f(0)= 0
2. f(1) = 13
3. f(-15) =- 20
4. f(-9) = 88
5. f(5)- 40
By using the given domain and range, we will see that the false statements are:
1. f(0)= 02. f(1) = 133. f(-15) =- 204. f(-9) = 88Which statement is false?
What we know about the function f(x) is:
The domain is: -10 ≤ x ≤ 20
The range is: -40 ≤ f(x) ≤ -10
Which statements are false:
1) f(0)= 0
This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.
2. f(1) = 13
Same reasoning than above, 13 is outside of the range.
3. f(-15) =- 20
The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.
4) f(-9) = 88
88 is outside the range of the function, so this is false.
If you want to learn more about functions, you can read:
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what is the product of 237 and 962?
Answer:
227994
Step-by-step explanation:
Answer:
value x value = product
237 x 962 = product = 227,994
Step-by-step explanation:
hope this helps,
Volume of a Cone Level 1
The volume of the cone is the amount of space in it
The volume of the cone is 264.3 cubic inches
How to determine the volume?The given parameters are:
Height, h = 9.9 inDiameter, d = 10.1 inThe volume of a cone is then calculated as:
V = 1/3π(d/2)²h
This gives:
V = 1/3 * 3/14 * (10.1/2)² * 9.9
Evaluate the product
V = 264.256905
Approximate
V = 264.3
Hence, the volume of the cone is 264.3 cubic inches
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What geometric shapes can you draw that have exactly four pairs of perpendicular sides? Use
pencil and paper. Sketch examples for as many different types of shapes as you can.
Which of these types of geometric shapes can have exactly four pairs of perpendicular sides?
Select all that apply.
A. Triangle
B. Parallelogram
OC. Rectangle
D. Regular pentagon
Answer:
rectangle
it has four perpendicular sides
each perpendicular is 90degree
Answer: Rectangle and square
Step-by-step explanation: They both have four right angles
Describe the graph of the function. y = |x – 4| – 7
The graph is an absolute value function with vertex (4, –7).
The graph is an absolute value function with vertex (7, –4).
The graph is an absolute value function with vertex (–4, –7).
The graph is an absolute value function with vertex (–4, 7).
Answer:
The graph is an absolute value function with vertex (4, –7)
Step-by-step explanation:
|x-4| is always positive
minimal value of |x-4| = 0
x-4 = 0 x=4
y = |4-4| - 7 = -7
The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. what is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? use the portion of the standard normal table below to help answer the question.
The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The times of the runners in a marathon are normally distributed, with
Mean of 3 hours and 50 minutes Standard deviation of 30 minutes.Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.
The probability of runner selected with time less than or equal to 3 hours and 20 minutes,
[tex]P=1-0.84\\P=0.16[/tex]
Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Learn more about the normally distributed data here;
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a
A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height
of 7 inches. Which equation could be used to determine the volume, in cubic inches,
of the vase?
А
V = 7(5)?(7)
B
V = 70(7)?(5)
C
V = 7(7)?(2.5)
DV = 7(2.5)(7)
ca
hurry up i need this pls
Answer:
a
Step-by-step explanation:
sorry if it's wrong
P=1/2
q=-1/3
r=1/5
30pqr(p+q+r)/(p+q)(p+r)
Answer -22/7
Answer:
Given:
[tex]p=\dfrac12[/tex][tex]q=-\dfrac13[/tex][tex]r=\dfrac15[/tex]Given expression:
[tex]\dfrac{30pqr(p+q+r)}{(p+q)(p+r)}[/tex]
Substitute given values into given expression:
[tex]\implies \dfrac{30\cdot\dfrac12\cdot-\dfrac13\cdot\dfrac15\left(\dfrac12-\dfrac13+\dfrac15\right)}{\left(\dfrac12-\dfrac13\right)\left(\dfrac12+\dfrac15\right)}[/tex]
[tex]\implies \dfrac{-\dfrac{30}{30}\left(\dfrac{15}{30}-\dfrac{10}{30}+\dfrac{6}{30}\right)}{\left(\dfrac36-\dfrac26\right)\left(\dfrac{5}{10}+\dfrac{2}{10}\right)}[/tex]
[tex]\implies \dfrac{-1\left(\dfrac{11}{30}\right)}{\left(\dfrac16\right)\left(\dfrac{7}{10}\right)}[/tex]
[tex]\implies \dfrac{-\dfrac{11}{30}}{\dfrac{7}{60}}[/tex]
[tex]\implies -\dfrac{11}{30}\times \dfrac{60}{7}[/tex]
[tex]\implies -\dfrac{660}{210}[/tex]
[tex]\implies -\dfrac{22}{7}[/tex]
If u have 18 gallons of gas an you drove 250 miles how much gas is left
Answer:
Depends what vehicle is it does it burn alot of gas like pickup trucks or is it a little small Honda Civic
Step-by-step explanation:
Find the perimeter of the cabin below.
the image is formed of a rectangle and a square
perimeter of the cabin = perimeter of rectangle + perimeter of square
= 2(l+b) + 4×side
= 2(7+5) + 4×5
= 24 + 20
perimeter of the cabin = 44 cm
5. A bottle contains 2 liters of juice. How many milliliters of juice is that?
Answer:
The answer would be 2000
Step-by-step explanation:
Knowing that there are 1000 milliliters in 1 liter, you can multiply that by 2 to get 2000. I hope this helps! :)
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
PLEASE HELP ME????
THank you ! :)
you can replace the m with 14 to get an equation of: 52+14=66
What is 180 divided by 2
Answer:
90
Step-by-step explanation:
Do it on the calculator 180÷2
The function h defined by h (t) = 4.9 (10+t) (10 - t) models the height, in meters, of an object t seconds after it is dropped from a
helicopter
Answer:
(a) 10 seconds
(b) 490 meters
Step-by-step explanation:
(A)When the object hits the ground, it shows that the height is 0. Hence, h(t) = 0.
0 = 4.9(10+t)(10-t)
0 = (10+t)(10-t)
t = 10, -10
Since time cannot be negative, t = -10 will be rejected.
Therefore, t = 10 seconds
(B)Based on the question, "t seconds after the object is dropped from a helicopter", means that the time starts right after the object is dropped from the helicopter, this shows that t = 0.
h(0) = 4.9(10+0)(10-0)
= 4.9(100)
= 490 meters
Convert: 2589 millimeters = ______ kilometers
A. 2,589,000,000 km
B. 2,589,000 km
C. 0.002589 km
D. 0.2589km
Answer:
C. 0.002589 km
Step-by-step explanation:
2589/1,000,000
=0.002589
Please help for mooolah :(((
Answer: 61 in^2
Step-by-step explanation
triangle length = half of left side + 1.5
triangle length = 2 + 1.5 = 3.5
triangle area = (.5)(base)(length)
triangle area = (.5)(6)(3.5) = 10.5
you have 2 triangles
10.5 + 10.5 = 21
area of rectangle = left side width x length
area of rectangle = 4 x 10 = 40
add areas
21 + 40 = 61
Answer:
61 in^2
Step-by-step explanation:
The arrow is made of a rectangle and a triangle.
The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2
The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2
add everything together.
Expand & simplify
4
(
2
g
+
3
)
−
5
(
4
g
−
4
)
Answer:
-12g+32
Simplify and combine like terms.
Which expressions are equivalent to the one below? Check all that apply. 3^4 * 3^x
A. 3^4 -x
B. 9^4x
C. 81*3^x
D. (3*x)^4
E. 3^4x
F. 3^4+x
Answer:
F, 3^4+x
Step-by-step explanation:
You just have to add the powers together but not the actual base, you keep it as it is
Please help me out! I would also love an explanation on how to find the ratio and the answer
Answer:
A
Step-by-step explanation:
This will have slope in it, so bear with me.
We will use the equation [tex]\frac{y(2) - y(1)}{x(2) - x(1)}[/tex] (keep in mind (2) means second and (1) means first)
Lets fill it out.
[tex]\frac{-4-(-1)}{-4-3}[/tex]
It should be [tex]\frac{-3}{-7} or \frac{3}{7}[/tex]
So it is A
okay, triangular prism volume formula. b is base, B is area of base (i think) V is volume, h is height, but I forgot what H is.
Also, how has your day been? :)
Answer:
good and how do you forget wut H is?
Step-by-step explanation:
Please Help!!! Will Mark Brainliest!
Step-by-step explanation:
from my side it's blury, try to send it again
Is it possible for a rhombus to have an angle of 120° and an angle of 30°?
give an explanation please.
Answer:
Step-by-step explanation:
if I’m correct please mark Brainalist
From the properties of a Rhombus;
Opposite angles of a rhombus are equal. The adjacent angles of a rhombus are supplementary, i.e. adds up to 180 degrees.
If one of the angles of a rhombus is 120 degrees, and sum of the adjacent angles is 180 degrees, then, the adjacent angle will be 60 degrees (180-120=60)
If one of the angles of a rhombus is 30 degrees, then, the adjacent angle will be 150 degrees (180-30 =150)
Thus, the sum of 120 and 130 is not supplementary and definitely can not be adjacent
Hence, it is not possible hope this helps !
No, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
What is rhombus?" Rhombus is a quadrilateral whose opposite side are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary."
According to the question,
Given,
Measure of the angle are 120° and 30°.
If we consider both the angles are opposite [tex]120 \neq 30[/tex]
then as per property of congruent angle in rhombus, it is not correct.
For adjacent angle, [tex]120 + 30 \neq 180[/tex] they are not supplementary.
Again it is not true for rhombus.
Hence, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
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Please help asap.
I will give brainliest
Answer:
#1 20
#2 17
#3 14
#4 14
#5 12
#6 14
#7 10
#8. 20
#9. 20
Step-by-step explanation:
1 12+8=20
2 10+7=17
3 8+6=14
4 8+6=14
5 10+2=12
6. 8+6=14
7 4+6=10
8. 12+8=20
9 14+6=20
Now honey I can't do all your work for you im.not trying to be mean but work some.out heres a tip use a calculator to help you when you get stuck ask me your question and then I will hold you ok