Answer:
Attachment: 1 Image
Step-by-step explanation:
Square contains 4cm. find the area of the shape.
Answer:
Step-by-step explanation:
'Area of a square' formula is A = s^2, where s in the length of one side.
Here, with s = 4 cm, A = 16 cm^2
The population of Bengal tigers in a region of India can be modeled by the function P = 450(0.85), where P is the
population and I is the number of years since 2000.
What is the Bengal tiger population in 2000?
and by what percent does the tiger population decrease each year?
Answer:
(a) The population in 2000 is 450
(b) 15% decreases each year
Step-by-step explanation:
Given
[tex]P = 450(0.85)^t[/tex] --- since 2000
[tex]P \to Population[/tex]
[tex]t \to years[/tex]
Solving (a): The population in 2000
First calculate t
[tex]t = 2000 - 2000[/tex] --- years since 200
[tex]t = 0[/tex]
So, we have:
[tex]P = 450(0.85)^t[/tex]
[tex]P = 450 * 0.85^0[/tex]
[tex]P = 450 * 1[/tex]
[tex]P = 450[/tex]
Solving (b): Rate of population decrease
A function that decreases is represented as:
[tex]P(t) = a(1 - r)^t[/tex]
Where
[tex]r \to[/tex] rate of decrement
Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]
[tex]1- r = 0.85[/tex]
Collect like terms
[tex]r = 1 - 0.85[/tex]
[tex]r = 0.15[/tex]
Express as percentage
[tex]r = 15\%[/tex]
Evaluate the expression 4x^2 + 3y for x = 5 and = 6.
Answer: 118
Step-by-step explanation:
help me out please ill give you 5 star, brainlist
Answer:
H
Step-by-step explanation:
you can see that it's increasing by 50 for each line
4*50=200
Use the distributive property to writer an equivalent expression 2(w + 6x)
Answer:
2w+12x
Step-by-step explanation:
distribute the 2
Find the solution of the system of equations.
15x -4y = -50
3x - 2y = -16
Answer:
15x - 4y =-50 -----(i)
3x - 2y=-16 --------(ii)
Using Substitution
From (i)
15x=4y-50
x=4y-50/15
Substitute x=4y-50/[15] into eqn (ii)
3x - 2y= -16
3[4y-50]/15 - 2y =-16
Multiply through by 15 to clear the fraction
3(4y - 50) - 30y=-240
12y - 150 -30y=-240
12y-30y=-240+150
-18y = -90
y=90/18
y=5.
Substitute into any eqn of choice to get x
3x - 2y=-16
3x - 2(5)=-16
3x - 10=-16
3x=-16+10
3x=-6
x=-6/3
x=-2.
x= -2
y=5
PLEASE HELP ASAP!!!
Given that PQ/ST = QR/TU = RS/US , select the postulate or theroem that you can use to conclude that the triangle are similar.
○ ASA similarly postulate
○ SAS similarly theorem
○ AA similarly postulate
○ SSS similarly theorem
Find each measure below.
arc SR=
Answer:
Measure of arc SR = 62°
Step-by-step explanation:
By using the property,
"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."
m∠SUR = [tex]\frac{1}{2}m(\text{arc SR})[/tex]
m(arc SR) = 2m∠SUR
= 2(31°)
= 62°
What is the slope of the line that passes through the points listed in the table?
x | y
4 | 3
7 | 9
A. -2
B. 2
C. 3
D. 6
Answer:
B. 2
Step-by-step explanation:
(4, 3) (7, 9) M = Slope
M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex] Slope formula
[tex]M=\frac{9-3}{7-4}[/tex] Using the slope formula, plot both x and y intercepts
[tex]M=\frac{6}{3}[/tex] Slope needs to be simplified into a whole number
[tex]M=2[/tex]
Whats the volume help pls
Answer:
36 Cubic Units
Step-by-step explanation:
Volume of a cube: Length x Width x Height
4 x 3 x 3 = 36
Find three consecutive even integers such that the square of the first is 80 less than the square of the third. [Only an algebraic solution will be accepted.]
Answer:
First number = 19
Second consecutive = 20
Third consecutive = 21
Step-by-step explanation:
Assume;
First number = x
So,
Second consecutive = x + 1
Third consecutive = x + 1 + 1 = x + 2
So,
(x + 2)² - x² = 80
x² + 2(2)(x) + 2² - x² = 80
x² + 4x + 4 - x² = 80
4x + 4 = 80
4x = 80 - 4
4x = 76
x = 76 / 4
x = 19
First number = x
First number = 19
Second consecutive = x + 1
Second consecutive = 19 + 1
Second consecutive = 20
Third consecutive = x + 2
Third consecutive = 19 + 2
Third consecutive = 21
What is the final amount if 672 is decreased by 12% followed by a further 5% decrease?
Give your answer rounded to 2 DP.
Answer:
561.79
Step-by-step explanation:
672 * (100-12)/100 = 591.36
591.36 * (100-5)/100 = 561.792
The volume of a rectangular prism is 4800 cm". The base is 12 cm long and 20 cm wide.
What is the height of the prism?
Answer:
20 cm tall
Step-by-step explanation:
12 x 20 x 20 = 4800
Solve the following equation for x.
Answer:
48
Step-by-step explanation:
jhus cross multiply 12*4=48
Answer:
x = 48
Step-by-step explanation:
x/4 = 12
4x/4 = x = 4(12) = 48
Check answer: 48/4 = 12
Which statement is true about whether A and B are
independent events?
A and B are independent events because P(AIB) = P(A).
A and B are independent events because P(AIB) = P(B).
A and B are not independent events because P(AIB)
*P(A).
A and B are not independent events because P(AIB)
PIB)
Answer:
A and B are independent events because P(AIB) = P(A).
Step-by-step explanation:
got it right on edge
The statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).
What is Bayes' theorem?
The conditional probability of an event depending on the occurrence of another event is equal to the likelihood of the second event given the first event multiplied by the probability of the first event, according to Bayes' Theorem.
Suppose that there are two events A and B. Then suppose the conditional probability is:
P(A|B) = probability of occurrence of A given B has already occurred.
P(B|A) = probability of occurrence of B given A has already occurred.
Then, according to Bayes' theorem, we have:
[tex]\rm P(A|B) = \dfrac{P(B|A)P(A)}{P(B)}[/tex]
(assuming the P(B) is not 0)
For two independent events, the intersection of the two events is equal to the product of the two events. Therefore,
P(A∩B) = P(A)·P(B)
Similarly, using the chain rule, for independent events, we can write,
P(A|B) = P(A)
P(B|A) = P(B)
Hence, the statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).
Learn more about Bayes' Theorem:
https://brainly.com/question/17010130
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I need help with this ASAP!!!!
Answer:
B) 81.96°
Step-by-step explanation:
40.67 - (-41.29)
40.67 + 41.29 = 81.96
A cone has a height of 7 inches and a radius of 3 inches. What is the volume of the cone in cubic inches rounded to the nearest whole number?
Answer:
66
Step-by-step explanation:
volume of a cone= pi×r^2×h/3
so 3x3=9
9×3.14=28.26
7/3= approximately 2.33
28.26×2.33=65.8458
68.8458=66
hope this helps
I need correct answer please!:)
Answer:
G. Angle NKL is congruent to angle ZWX is the answer
Step-by-step explanation:
Hope it helps you:)
Help pleaseeeeeeeeeee
Answer:
Step-by-step explanation:
-3,5 to find it first go over then go up and you have your answer
Answer:
The answer is (5, -3)
Hope this helps!
Mark me brainliest if I'm right :)
Can somebody please explain to me what tessellation is?
Answer:
A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.
Step-by-step explanation:
This dot plot shows the number of runs scored by the yellow jackets in their last 12 baseball games
Answer:
Symmetric, If you fold the graph along the median, the point will almost match.
Step-by-step explanation:
The dot plot shows an approximately normal distribution with the peak being approximately in the centre and the tail shared to either sides of the peak. The median seem to reside at the centre of the distribution as well.
The median = 1/2(n+1)th term
n = 12
1/2(13)th term
Median = 6.5 term
Median = (6+6) /2 = 12/2 = 6
Find all the missing elements:
B
14
15
70°
A
b
с
Answer:
[tex]B=48.7\\[/tex]
[tex]c=61.3[/tex]
[tex]b=12[/tex]
Step-by-step explanation:
Using sines law for triangles,
[tex]\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70[/tex]
⇒ [tex]\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}[/tex]
⇒ [tex]\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}[/tex]
⇒ [tex]15.9625=\frac{14}{sinC}[/tex]
⇒ [tex]SinC=\frac{14}{15.9625}=0.8771[/tex]
⇒ [tex]C=Sin^{-1}(0.8771)=61.29[/tex]
⇒ [tex]C=61 ~ or ~ 61.30[/tex]
[tex]\frac{b}{Sin B}=15.9625[/tex]
Now sum of angles a Δ is 180°
A+B+C=180°
[tex]70+B+61=180[/tex]
[tex]B=180-131=49~ or ~ 48.7[/tex]
[tex]b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0[/tex]
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hope it helps..
have a great day!!
╚═════ ∘◦ ❉ ◦∘ ═════╝
Which of these is a two-step equation? Ax + 9 = 21incorrect answer Bx = 11 + 2incorrect answer C2x + 9 = 21incorrect answer Dx/3 = 9
Answer:
2x + 9 = 21
Step-by-step explanation:
Looking at option C;
2x + 9 = 21
Step 1: Subtract 9 from both sides
2x+9 - 9 = 21 - 9
2x = 12
Step 2: divide both sides by 2
2x/2 = 12/2
x = 6
Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps
Find the slope of the line represented by the table. Show all work
12x - 24 + 3x = 1/3x + 4 + 10x plz no link or spam (i will report you)
Answer:
x=6
15x - 24 = 1/3x + 4 + 10x
=
45x - 72 = x + 12 + 30x
=
45x - 72 = 31x + 12
=
45x - 31x = 12 + 72
=
14x = 84
=
x = 6
Triangle ABC is similar to triangle DEF. Find the measure of side EF. Figures are not drawn to scale.
Answer:
KL is 1.2
JK Equal 2LK
and same thing in the first trangle
GH equal 2IH
#2: Grace needs to buy a new printer. The printer she wants has a price tag of $60. She has a 25% off coupon and $50 in her bank account. If she must pay 6.75% sales tax, will she have enough money to buy the printer? If yes, how much will she have left over? If no, how much is she short?
Answer:
yes
Step-by-step explanation:
$60×25%=$15...so the coupon she have worth $15 but she also have $50
so she has an overall of $65 she can use
but she must pay sales tax:$60×6,75%=$4.05
so then the overall money that she must pay for the printer is $60+$4.05=$64.05
so then the difference of her money and the price of the printer is:
$65-$64.05=$0.95
$0.95 is left over
Help!!!!!!!!!!!!!!!
If f(x) = -(24 – 32) – x, find f(-2).
A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid part of the vase
SOMEONE ANSWER QUICK!!
Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??
Answer:
3/4 of a pizza leftover.
Step-by-step explanation:
2 7/12 + 2/3 = 3 1/4
4 - 3 1/4 = 3/4
so 3/4 of 1 pizza is left.