Answer:
Step-by-step explanation:
multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.
A recipe calls for 2/3 cup of milk. If you make 3 1/2 times the recipe, how much milk do you need? Please help!! From, Kweenie.
Answer:
1 time = 2/3 cups
3 1/2 times = 2/3 × 3 1/2
= 7/3 cups of milk
Answer:
2 1/3 cups
Step-by-step explanation:
2/3 x 3.5 = 2.33333
What is the rate of change/slope?
Miles per hour
2 hours= 70 miles
4 hours= 140 miles
6 hours= 210 miles
8 hours = 280 miles
Answer:
35 miles per hour
Step-by-step explanation:
The slope is
m = (y2-y1)/(x2-x1)
= (280-210)/(8-6)
= 70/2
= 35 miles per hour
Answer: 1hr/35miles
Step-by-step explanation:
The smallest number by which 192 should be multiplied to make it a perfect cube is
Answer:
[tex]9[/tex]
Step-by-step explanation:
The prime factorization of [tex]192[/tex] is [tex]2^6 \cdot 3[/tex], and since [tex]2^6[/tex] is already a perfect cube of [tex]4[/tex], we just have to deal with the [tex]3[/tex]. To make it a perfect cube, we have to multiply [tex]3[/tex] three times, and so we have to make it [tex]3 \cdot 3 \cdot 3[/tex], and we already have one three so we just add the other two threes, which equal [tex]3^2=9[/tex].
Write an absolute value expression to represent the distance between -1 and -6 on a number line. then evaluate the expression.
Answer:
5.
Step-by-step explanation:
That would be |-1 - (-6)|
= |-5|
= 5.
Im having trouble on these ones. Can someone help>
Answer:
9. 40°
10. 50°
11. 270°
12. 310°
Step-by-step explanation:
m∠BPC = 40° because it is complementary to ∠APB, which is 50°.
Arc AB is 50° because it will be equal to the central angle, which is 50°.
Arc ADC is 270° because it will be equal to the central angle, which is 270°.
Arc ADB is 310° because it will be equal to the central angle, also 310°.
What is the equation of the line that passes through the point (-7,-1) and has a slope of 1?
Answer:
Step-by-step explanation:
y + 1 = 1(x + 7)
y + 1 = x + 7
y = x + 6
If fix)=x2-2 and g(x) = x-3, what is(f•g)(x)?
o (f•g)(x) = x +7
o (f•g)(x) = x^2 - 6x+7
o (f•g)(x) = x^2- 3x+7
o (f•g)(x) = x^2 - 5
Answer:
The last option is correct. (f*g)(x) = x² - 5
Step-by-step explanation:
Since is f * g you have to multiply them together.
x² - 2 * x - 3 (x)
Next ust simplify.
x² -5x
In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
1. Sqrt 8
2. Sqrt 37
3. Sqrt 27
4. 4
Answer:
Correct option: 2 -> sqrt(37)
Step-by-step explanation:
To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.
The equation of the law of cosines is:
c^2 = a^2 + b^2 - 2 * a * b * cos(C)
So, we have that:
c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)
c^2 = 49 + 9 - 21
c^2 = 37
c = sqrt(37)
Correct option: 2
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? 7 divided by 2 6 divided by 1 8 divided by 3 3 divided by 2
Answer:
[tex]4\frac{1}{20}[/tex]
Step-by-step explanation:
[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]
[tex]\frac{27}{4} \div \frac{5}{3}[/tex]
[tex]\frac{27}{4} \times \frac{3}{5}[/tex]
[tex]\frac{27 \times 3}{4 \times 5}[/tex]
[tex]=\frac{81}{20}[/tex]
[tex]=4\frac{1}{20}[/tex]
Answer:
7 divided by 2
Step-by-step explanation:
Mrs. Smith decides to build her own vegetable garden. She goes to Home Depot and buys material to
build beds for the vegetables she'll grow. The beds are big wooden boxes. Each bed is 10 feet long, 5 feet
wide, and 1 % feet tall. She builds 4 beds for her vegetable garden and fills each bed with dirt. The bags
of dirt each contain 1.5 ft of dirt. How many bags of soil did Mrs. Smith buy to fill all 4 beds?
Answer: 4 bags
Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.
Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1
Answer:
x = 3
Length of each segment = 3
Step-by-step explanation:
Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.
m(TU) = m(VU)
(8x + 11) = (12x - 1)
By further solving this,
8x + 11 + 1 = 12x - 1 + 1
8x + 12 = 12x
8x + 12 - 8x = 12x - 8x
12 = 4x
x = [tex]\frac{12}{4}[/tex]
x = 3
(12x - 1) = 12×3 - 1
= 35
And the length of each segment will be 35 units.
The numerical coefficient in "6m" is:
The numeral coefficient is the number ( the one that we know)- so its 6
In the diagram shown, m <AOC =124 and OA=10 cm. Which of the following is closest to the length of
arc ABC?
(1) 20.6
(2) 21.6
(3) 40.4
(4) 41.2
Answer:
(2) 21.6
Step-by-step explanation:
The segment OA is the radius of the circle
The arc of the complete circle is equivalent to its perimeter
perimeter = 2*π*radius = 2*π*10 = 62.83 cm
This arc is proportional to 360°. So, for 124°:
360°/124° = 62.83 cm/ x cm
x = 124*62.83/360
x = 21.6 cm
Which equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3
Answer:
y = -1/3x+3
Step-by-step explanation:
use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer. y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
The equation that represents the graphed function would be; y = -1/3x+3
We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.
Now plug in the values and get the answer.
y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 3-2) / ( 0-3)
m = -1/3
The equation will be y=-1/3x+3
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HELP ME PLZ NOT A TEST !!!!!!!!!!!!!!!!! ITS A REVIEW AND I DONT GET IT I NEED TO KNOW THE STEPS AND THE AWNSER
Answer: See below
Step-by-step explanation:
1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.
5²×3=25×3=75
A shows 75.
-----------------------------------------------------------------------------------------------------------------
2. You need to first distribute each factor and then combine like terms.
-14a+10b+20a-32b+2
6a-22b+2
B
-----------------------------------------------------------------------------------------------------------------
3. You need to first distribute each factor and then combine like terms.
-6n+30+18n-12
12n+18
D
If f (x) = 4x-3, what is f (x)?
Picture is the options
Answer:
I think it is option C, 3-4x
Translate the following sentence into an equation. Five times a number less than eighteen is equal to thirteen.
Answer:
5(n<18)=13
Step-by-step explanation:
Five times a number less than eighteen is equal to thirteen
5 (n < 18 = 13
Given that the radius of Mars is approximately 3.4 * 10 kilometres (3400 km). Find its
volume to three decimal places.
Answer:
Volume V = 164,636,210,208.924 km^3
Step-by-step explanation:
Volume of a sphere is;
V = (4/3)πr^3
radius r = 3400 km
Volume of mars V = (4/3)π×3400^3
V = 164,636,210,208.924 km^3
Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answer:
6.0869 mph
Step-by-step explanation:
Nina:
8 km: 45 mins
Jo:
8 km: 49 mins
Speed = distance / time
Speed= 8 / 49
[tex]( {5b}^{2} + 3b + 4) + ( {6b}^{2} - 5)[/tex]
Answer: 11b^2 + 3b - 1
Step-by-step explanation:
(5b^2 + 3b + 4) + (6b^2 - 5)
5b^2 + 3b + 4 + 6b^2 - 5
11b^2 + 3b -1
pls help this is due in 20 min pls help.
Answer:
32 2/5
Step-by-step explanation:
Twice of the width is 10 4/5
So 10 4/5 plus 5 2/5 is 16 1/5
Then you add it to 16 1/5 because it is the perimeter and it has the same sides
Answer:
4. [tex]32 \frac{2}{5}[/tex]
Step-by-step explanation:
so the formula for perimeter is l + l + w + w
the width is 5 2/5 and the length is 5 2/5 * 2
that means the length is 10 4/5
so back to the formula [tex]5 \frac{2}{5} + 5 \frac{2}{5} +10 \frac{4}{5} +10 \frac{4}{5}[/tex]
simplified is 10 4/5 + 20 8/5
simplified is 30 12/5
simplified is [tex]32 \frac{2}{5}[/tex]
You spin the spinner below once. What is the P(getting a number less than 5)?
Answer:
3/4
Step-by-step explanation:
Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances
The required probability of getting a number less than 5 is 3/4
The correct option is (B)
What is Probability?The mathematical possibility of any event is called probability
The probability of impossible event is zero and sure event is one
The probability can be calculated as
Probability = [tex]\frac{favourable}{total}[/tex]
How to find probability?here we have given total event or sample is
S = {2, 3, 4, 5}
n(S) = 4
The required probability of getting a number less than 5
Favorable event E = {2, 3, 4}
n(E) = 3
Therefore the
P(E) = 3/4
Hence the correct option is (B)
This is the conclusion to the answer.
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Help asap plzz
-3x + 7 = -8
Answer:
x=5
Step-by-step explanation:
-3x+7=-8
Bring 7 to the other side, it becomes negative
-3x=-8-7
Signs are same on rhs so u add
-3x = -8+-7= -15
Bring -3 to the other side n divide
therefore,
x=-15/-3
= +5 (two negatives become positive)
Hope it helps!
Answer:
x = 5
Step-by-step explanation:
→Subtract 7 from both sides:
-3x + 7 = -8
-3x = -15
→Divide both sides by -3:
x = 5
HEY PLEASE I NEED HELP IM OFFERING 30 POINTS
which point is a solution to the given system of inequalities
x+4y>12
3y>x+6
A.(-4,6)
B.(5,2)
C.(0,3)
D.(-2,3)
Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Answer:
(-4, 6)
Step-by-step explanation:
Please help! I don’t understand
the correct answer is B
The answer is definitely B
answer asap please ! ill give brainliest
I don't know, sorry. :(
What is the volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter
Answer:
189582.23m^3
Step-by-step explanation:
formula for the volume of a hemisphere=2/3 x pi x r^3
The volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter is 181,037 cubic meters.
How to calculate volume of a hemisphere?We can say that a hemisphere is exactly half of a sphere. The volume of the hemisphere is obtained by Archimedes and is half the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.
The formula for the volume of a hemisphere is :
[tex]V=2/3 * \pi * r^3\\V= 2/3 (3.14) (44.9)^3\\V= 181,037 m^3[/tex]
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One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4
i need help guys ):
Answer:
It is a dilation. You know because when you see the shapes form left to right, the shape increases in size.
What is the volume of a triangular prism that is 6 inches high with a base area of 12 square inches? *Remember: Volume is the area of the base multiplied by the height.
A. 72 in3
B. 60 in3
C. 18 in3
D. 62 in3
Answer:
A. 72
Step-by-step explanation:
Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!
Answer:
A would be the right answer :)
Step-by-step explanation: