Answer:
-1
Step-by-step explanation:
lim x tends to 4 (x^2-9x+20)/(x-4). (x^2-9x+20)(x-4)=x-5.
So the limit is 4-5=-1
what is the mass of raisins in a package
Answer:
Step-by-step explanation:
12
sentence
After several days of drilling, a water well is 80
meters deep. The well is being drilled at a rate of
20 meters per day.
How many more days will it take to reach a total
depth of 180 meters?
Answer:
it will take 5days to reach a total of 180meters
Step-by-step explanation:
80m+20+20+20+20+20
=180meters
=5days
Help pls will give brainliest
Answer:
hello,
answer C
Step-by-step explanation:
area of the rectangle=2b*b=2b²
area of the half cercle= [tex]\\\dfrac{\pi*(\frac{c}{2})^2}{2} =\dfrac{\pi*c^2}{8} \\[/tex]
Area in blue= 2b²-πc²/8
x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
10700 by 100 + 5192by 1000 - 412
Answer:
the answer is -299.808 well that's what I think it's
Answer:
-299.808
Step-by-step explanation:
= 10700/100 + 5192/100 - 412
= 107 + 5.192 - 412
= -299.808
Which function is increasing?
Answer:
A, it's the only one with a number greater then 1
Given a dilation around the origin, what is the scale factor K?
D o, K = (2,4) → (3,6)
Answer:
It is 3/2, I got it right on my exam.
Step-by-step explanation:
Dilation is a transformation that allows you to resize an object. The dilation factor of the given point is 3/2.
What is dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.
Given the dilation of the k around the origin as K = (2,4) → (3,6), therefore, the point k is dilated 1 unit to the right and 2 units upwards.
Let the dilation factor be represented by a, then,
2 × a = 3
a = 3/2
Similarly for the y-axis,
4 × a = 6
a = 6/4 = 3/2
Hence, the dilation factor of the given point is 3/2.
Learn more about Dilation:
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Find the value of x.
A. 75
B. 80
C. 57
D. 40
Answer:
80
Step-by-step explanation:
since a=40
40x2 is 80
The value of x is 80 which is the correct answer would be an option (B)
What are the Angles of Intersecting Secants Theorem?Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.
Given that angle ∠a = 40°
∠x = 2∠a
Substitute the value of ∠a = 40°
∠x = 40×2
∠x = 80°
Hence, the value of x is 80 degree
Learn more about the Angles of intersecting secants here:
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For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI
What percentage is 150 grams of 400 grams?
1 %
Answer:
37.5%
Step-by-step explanation:
150/450 = .375 = 37.5%
The percentage is 150 grams out of 400 grams will be 37.5%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
It is given that the difference between the initial and final value is 15 grams and the initial value is 400 grams.
Then the percentage is 150 grams out of 400 grams will be
P = (150 / 400) x 100
P = 0.375 x 100
P = 37.5%
Thus, the percentage is 150 grams out of 400 grams will be 37.5%.
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what is the commutative property for 4xy
PLEASE ANSWER QUICKLY
Answer:
[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]
The membership fee for joining a gardening association is
$24 per year. A local botanical garden charges members of the gardening association
$3 for admission to the garden. Nonmembers of the association are charred $6.
After how many visits to the garden is the total cost for members, including the
the total cost for nonmembers?
Hi.
Let's call X number of visits.
so members pay for a year : membership 24 and reduce entrance at 3 dollars.
so you member pay : 3X+24
a non member pay entrance fee of 6 for each visit.
so 6X
Question : for how many visit would a membership will be more intresting than standar entrance ?
3X+24 = 6X
3X-6X = -24
-3X=-24
X= -24/-3
X =24/3
X= 8
Under 8 visit a year, it's cheaper non being a member.
at 8 entrance cost is the same for members and non member. After it better to choose membership as
9 entrances for member is : 3x9 +24 = 27+24= 51
non member : 9x6 = 54
And so on for each supplementary visits.
3/4 + 4/7 + 3/4
plz help
Answer:
29/14
Step-by-step explanation:
Start by working out the LCM of these (or any common denominator). A common denominator for 4 and 7 is 28 cuz 4 x 7 = 28.
3/4 = 21/28
4/7 = 16/28
3/4 = 21/28
(21+16+21)/28 = 58/28 which can simplify to 29/14
hi
Golden rule : you can only add or substract fraction if and only if they have the same denominator.
so two solutions :
you see that one denominator is a multiple of the second. so you multiply all the fraction by this multiple.
ex : 1/3 + 5/6
here I can easely convert 1/3 into a fraction with 6 as 6 is 3x2.
so : 1x2 = 2 and 3x2 = 6
1/3 is 2/6
so. 1/3 +5/6 = 2/6 +5/6
fraction have same denominator, I add numerators : 2/6 +5/6 =7/6
if it not that evident, you multiply fraction A up and down by denominator of fraction B.
and you multiply up and down fraction B by denomonator of fraction A
let' s see with your exemle :
3/4 +4/7+3/4 = ?
first I add fraction with same denominator :
3/4+3/4+4/7 = 6/4 +4/7
fraction A is 6/4.
I multiply up and down by denominator fractiok B which is " 7"
so. 6/4 = 6x7/4×7 = 42/28
let's apply method to fraction B whixh is 4/7 . let' multiply up and down by denominator of fraction A which is " 4"
so : 4/7 = 4x4 /7x4 = 16/28
now we have :
6/4 +4/7 = 42/28 +16/28
both my fractions have same denominator "28" so I add numerator :
42/28 +16/28 = 58/28
Now must wonder if 58/28 can be simplify. Good trick is to decompose numbers, and in prime number is the best way to do
58 = 2x29
28 = 7x2x2
so 58/28= (2×29)/ (7x2x2)
when there is same number up and down I can cross it out .
so here one "2" up and down can be rule out
so 58/28 = 2x29 /7×2×2 = 29/7x2 =29/14
I can not symplify more, so calculus is over.
in short :
3/4+4/7+3/4 = 6/4+4/7
= 42/28 +16/28
=58/28
= 29/14
paul leaves for school at 7:25 am he returned home at 3:15 pm how long was paul away from home?
Answer:
8 hours 10 minutes
I hope this answers your question
Answer: paul has been away from home for 7 hours and 50 minutes.
Step-by-step explanation:
the height of the glass is 7cm and
the radius is 3cm If the glass is
half fill with water what will be
the answer
can someone pls help me
On the last option, since you can substitute y=3x+1 into the other equations to solve for x.
i  genuinely dont know help
Answer:
-13 1/2 < -6/8
Step-by-step explanation:
*Any negative in either the numerator or denominator will make the entire fraction negative.
1/2 = .5
-13 1/2 = -13.5
-6/8 = -3/4
-3/4 = -0.75
-6/8 = -0.75
-13 1/2 = -13.5
Which means:
-13 1/2 < -6/8
Hope this helped.
Answer:
[tex] < [/tex]
Step-by-step explanation:
[tex] \frac{6}{8} [/tex]
Is close to 0 (to positive) you can use a time line to determine which is a correct answer
757divide 100=to in hours and minutes
Answer:
Step-by-step explanation:
757 minutes = 12 hours 37 minutes
plz help me solving this question
Answer:
Step-by-step explanation:
3) Surface area of cube = 6a² where a is side of the cube.
a) a = 6 cm
Surface area of cube = 6 * 6*6 = 216 cm²
b) a = 4.5 cm
Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²
4) Area of cuboid = A = 2(lb + bh + hl)
a) l = 10 cm ; h = 6 cm ; A = 376 cm²
A = 376
2(lb + bh + hl) = 376
2(10b + 6b + 60) = 376
2*( 16b + 60) = 376
2*16b + 2*60 = 376
32b + 120 = 376
32b = 376 - 120
32b = 256
b = 256 / 32
b = 8 cm
5) Surface area of cube = 150 cm²
6a² = 150
Divide both sides by 6
a² = 150/6
a² = 25 = 5*5
a = 5 cm
6) l = 15 cm ; b = 12 cm ; h = 10cm
Lidless. so area of top portion is not included
Surface area of lidless cuboid = 2(hb + hl) + lb
= 2*(10*12 + 10*15) + (15*12)
= 2*(120 + 150) + 180
= 2* 270 + 180
= 540 + 180
= 720 cm²
Step-by-step explanation:
Q5:Find the length of each side of the cube whose Total surface area are given below:
(B)2400cm^2
Solution:
T.S.A= 6a^2 [ we have to find a]
2400=6a^2
2400/6=a^2
400=a^2
a=squareroot of 400
=20
So, 20cm is the length of a cube.
The cross-section of a searchlight mirror is shaped like a parabola. The light bulb is located 3 centimeters from the base along the axis of symmetry. If the mirror is 20 centimeters across at the opening, find its depth in centimeters. (Round your answer to the nearest tenth if necessary.)
The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.
A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.
It helps in maximizing the output of light in one direction.The equation of the cross-section of the parabola is - [tex]y^{2} = 4ax[/tex], where a is the focus and x is the depth of the mirror from its origin.Given:
a = 3
y = [tex]\frac{20}{2}[/tex] cm = 10 cm
Solution:
from the equation [tex]y^{2} = 4ax[/tex]
[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]
putting x, 10 cm in the equation
[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]
thus, the depth of the mirror would be - 8.33 cm
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Which quadratic formula do I need to use to solve 2x(x+1.5)=-1
Answer:
x = - 1, x = - 0.5
Step-by-step explanation:
Given
2x(x + 1.5) = - 1 ← distribute parenthesis on left side
2x² + 3x = - 1 ( add 1 to both sides )
2x² + 3x + 1 = 0 ← in standard form
(2x + 1)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - 0.5
Cual es la raiz cudrada de 2
Answer:
1.4142135
Step-by-step explanation:
The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.
[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]
heaviest[tex]\bold{=5.69\ g\\\\}[/tex]
lightest[tex]\bold{=5.65\ g\\\\}[/tex]
Evaluating each expression:
[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]
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What is the area of the obtuse triangle below?
9
다.
11
O A. 49.5 sq. units
OB. 99 sq. units
C. 10 sq. units
D. 20.5 sq. units
Answer:
49•5
Step-by-step explanation:
A= hb×b÷2
given
hb=height=9
b=base=11
The area of the triangle will be 49.5 square units. Then the correct option is A.
What is the area of the triangle?Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,
A = 1/2 x 11 x 9
A = 11 x 4.5
A = 49.5 square units
The area of the triangle will be 49.5 square units. Then the correct option is A.
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I need help i tried to do this but can't get it.
Answer: x=5, y=-1
Hope this helps
whats the gcf of 50,40
whats the gcf of 14,56,63
9514 1404 393
Answer:
107Step-by-step explanation:
The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.
GCF(40, 50)The difference is 10, which is a factor of both 40 and 50.
GCF(40, 50) = 10
__
GCF(14, 56, 63)You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.
GCF(14, 56, 63) = 7
_____
Additional comment
Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.
For example, let's look at the GCF of 14 and 63.
63/14 = 4 r 7
14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor
I need help right now ASAP!!!please man some on help me
Answer:
hope it helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
S is the midpoint of QR.
⇒ RS = QS
QR ⊥ PS
⇒ ∠RSP = ∠QSP = 90°
In ΔPSR & ΔPSQ,
Statement Reason
RS ≅ QS S is midpoint of QR
∠RSP ≅ ∠QSP QR ⊥ PS
PS ≅ PS Reflexive property
ΔPSR ≅ ΔPSQ Side Angle Side - S A S Congruent
PR≅ PQ CPCTC
HELP ASAP
THANK YOU!!!
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
A certain city garden has 64 flowers and 24 decora-
tive shrubs planted. The garden planner wants to
plant more flowers until the ratio of flowers to
shrubs is 12:1. How many more flowers will the
garden planner need?
Answer:
224 more flowers
Step-by-step explanation:
If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.
Find what 12 times the number of shrubs is:
24(12)
= 288
So, the planner will need 288 flowers in total.
Find how many more he needs to plant by subtracting the current amount of flowers from 288:
288 - 64
= 224
So, the garden planner will need 224 more flowers.
need help pleaseee!!!
Answer:
it should be the third option
Step-by-step explanation:
I hope this help