Answer:
486
Step-by-step explanation:
9(9) added 6 times
i struggle to explain it but i think it is 486cm squared
Find the first four iterates of the function f(x) = 7x + 2 if X0= 3.
a. 7, 12, 18, 36
C. 3, 23, 47, 81
b. 23, 163, 1143, 8003
d. 23, 76, 114, 208
The first four iterates of the function f(x) are 23, 163, 1143 and 8003
The function is given as:
[tex]f(x) = 7x + 2[/tex]
Where:
[tex]x_o=3[/tex]
Substitute 3 for x in f(x)
[tex]f(3) = 7 \times 3 + 2[/tex]
[tex]f(3) = 23[/tex]
Substitute 23 for x in f(x), for the next iteration
[tex]f(23) = 7 \times 23 + 2[/tex]
[tex]f(23) = 163[/tex]
Substitute 163 for x in f(x), for the next iteration
[tex]f(163) = 7 \times 163 + 2[/tex]
[tex]f(163) = 1143[/tex]
Substitute 1143 for x in f(x), for the next iteration
[tex]f(1143) = 7 \times 1143 +2[/tex]
[tex]f(1143) = 8003[/tex]
Hence, the first four iterates of the function f(x) are 23, 163, 1143 and 8003
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Laura framed her rectangular garden with boards. She used 1 board on each side. The longer sides
were 7.5 feet long, and the shorter sides were 6.5 feet long. What is the area of her garden in square
feet?
A) 14
B) 28
C) 42.25
D) 48.75
Answer: D) 48.75
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle: length x width
Replacing with the values given and solving for A (area)
A= 7.5 ft x 6.5 ft =48.75 ft2
The area of the garden in square feet is 48.75. (option D).
Feel free to ask for more if needed or if you did not understand something.
1+(-2)+(-3) =
-
Simplify the expression
Answer: -4
Step-by-step explanation:
negatives are basically just 1-2-3
Answer:
-4
Step-by-step explanation:
1+(-2)=-1
-1+(-3)=-4
so the simplified is -4
The thickness t in millimeters of a folded sheet of paper after it is folded n times is given by the equation t = (0.05) * 2n.
What does the number 0.05 represent in the equation?
Answer:
0.05 refers to the actual thickness of the sheet
Answer:
0.05 represents the amount of thickness the paper already had before you started the expriment. Hope this helps and go check out Quelenas'sboutique on Etsy.
Step-by-step explanation:
4. For each equation, determine if =-2 is a solution. Explain or show your reasoning.
a) 10 = 2(x-9)
b) 3(x+4) = 2(x+3) + 4
Answer:
a. 14 b. -2
Step-by-step explanation:
a. 10=2x-18
28=2x ; x=14
b. 3x+12=2x+6+4
3x+12=2x+10
x=-2
Can someone please help with these problems I’m having trouble pls
When the chords intersect inside the circle the sum of the vertical angles and the sum of the referenced arcs are the same. Since the vertical angles are congruent, each is half the sum of the referenced arcs.
Similarly when the chords intersect outside the circle, the angle is half the difference of the arc measures.
It's the same with a tangent; in that case there's just not a part of the arc that's not counted on the side with the tangent.
OK, that's how. Let's try some.
1. x = (88 + 86)/2 = 87
2. x = (150 - 60)/2 = 45
3. The angle is exactly half the subtended arc,
x = 110/2 = 55
4. The referenced arc is 360 - 220 = 140 degrees and x is half, 70.
5. Outside, half the difference, x = (90-20)/2 = 35
6. Angle outside, inner arc 6 degrees, vertical angle is 90 degrees.
90 = (x - 6)/2
180 = x - 6
x = 186
7. There's a special rule for this case but we can treat it as outside, little arc x, big arc 360-x,
60 = (360 - x - x)/2
120 = 360 - 2x
2x = 240
x = 120
8. Inner arc x, outer arc is 360-140-x = 220-x. Half the difference is 38,
38 = (220 - x - x)/2
76 = 220 - 2x
2x = 220 - 76
x = (220 - 76)/2 = 72
9. x is formed by a tangent and a radius, so a right angle, x=90
y is subtended by a 35 degree angle so y=70
10. Remaining triangle angle is 180 - 62 - 28 = 90. Arc that subtends it is double, 180. That means the long side is a diameter.
11. Remaining triangle angle is 180 - 50 - 70 = 60. x=120, y=100, z=140
12. Remaining arc 360 - 170 - 90 = 100. Angles are half.
x=45, y=50, z=85
which best represents the inequality? 30 POINTS!!!
A. y<32x+1
B. y≤32x+1
C. y>32x+1
D. y≥32x+1
Answer:
A
Step-by-step explanation:
Equation of the dotted line:
Slope: (-2-1)/(-2-0) = -3/-2 = 3/2
y = (3/2)x + 1
Region lies below the line, and the line is dotted:
y < (3/2)x + 1
There are 25 students in the school's Pep Club.
1. The Pep Club can buy new uniforms from 2 different suppliers:
Company A charges $500, plus $22 per uniform.
Company B charges $360, plus $28 per uniform.
a) Define a variable, then write an equation that can be used to determine the number of uniforms that will result in equal costs at both companies.
b) Solve the equation. Verify the solution.
c) Which company should the Pep Club choose? Justify your recommendation.
d) How much money must the Pep Club raise to purchase the uniforms?
Answer:
company b 10,080 dollars
Step-by-step explanation:
23 number of uniforms that will result in equal costs at both companies.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that there are 25 students in the school's Pep Club.
The Pep Club can buy new uniforms from 2 different suppliers:
Company A charges $500, plus $22 per uniform.
Company B charges $360, plus $28 per uniform.
500+22x=360+28x
Subtract 360 on both sides
500+22x-360=28x
140+22x=28x
Subtract 22x on both sides
140=6x
Divide both sides by 6
x=23.3
The number of uniforms that will result in equal costs at both companies is 23.
The company A charges more than company B.
company B should the Pep Club choose
Hence, 23 number of uniforms that will result in equal costs at both companies.
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6 students share 4 bagels equally, how much does each person get
Answer:
(2/3) bagel per student
Step-by-step explanation:
Find the unit rate (fraction of a bagel per person):
4 bagels
----------------- = (2/3) bagel per student
6 students
A
4
1
2
-ounce hamburger patty has
25
1
2
grams of protein, and 6 ounces of fish has 32 grams of protein. Determine the grams of protein per ounce for each type of food.
Select from the drop-down menus to correctly complete each statement.
A hamburger patty has approximately
Choose...
grams of protein per ounce.
The fish has approximately
Choose...
grams of protein per ounce.
Answer:
Hamburger patty is 5.67 per ounce and the fish is 5.33 per ounce
Step-by-step explanation:
The hamburger patty has approximately 5.7 grams of protein per ounce and the fish has approximately 5.3 grams of protein per ounce.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
[tex]4\frac{1}{2}[/tex] ounce hamburger patty has [tex]25\frac{1}{2}[/tex] grams of protein
[tex]4\frac{1}{2}[/tex] = 9/2
[tex]25\frac{1}{2}[/tex] = 51/2
Let's suppose each hamburger patty has x grams of protein so the value of x:
[tex]\rm x = \frac{\frac{51}{2}}{\frac{9}{2} }[/tex]
x = (51/2)×(2/9)
x = 5.66 ≈ 5.7 grams of protein
For fish Let's suppose each fish has y grams of protein so the value of y:
[tex]\rm y =\frac{32}{6}[/tex]
y = 5.3 grams of protein
Thus, the hamburger patty has approximately 5.7 grams of protein per ounce and the fish has approximately 5.3 grams of protein per ounce.
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8x – 10 = 62
6
7
13
9
Answer:
x = 9
Step-by-step explanation:
8x - 10 = 62
Add 10 to each side
8x-10+10 = 62+10
8x = 72
Divide each side by 8
8x/8=72/8
x = 9
If you divide 6! by 4!
you are
evaluating
P(6,4)
P(4,6)
P(6,2)
I'm pretty sure you would be evaluating P(6,2)
Answer:
P(6,4)
Step-by-step explanation:
If you divide 6! by 4! you are evaluating P(6,4).
Which expression is equivalent to 4(x+2)?
6x
4(x)+4(2)
4x)+4
8x
Answer:
4(x)+ 4(2)
Step-by-step explanation:
4(x + 2) = 4(x)+ 4(2)
The exponential function h, represented in the table, can be written as h(x) = a.2.
2
h(s)
0
10
1
4
Complete the equation for h(c).
h(z) =
Stuck? Watch a video or use a hint.
Reporta
Answer:
h(x) = 10 [tex](0.4)^{x}[/tex]
Step-by-step explanation:
The exponential is of the form
h(x) = a [tex](b)^{x}[/tex]
Use the ordered pairs from the table to find a and b
Using (0, 10 ), then
10 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] - 1 ), thus
a = 10
h(x) = 10 [tex]b^{x}[/tex]
Using (1, 4 ), then
4 = 10 [tex]b^{1}[/tex] , hence
b = [tex]\frac{4}{10}[/tex] = 0.4
h(x) = 10 [tex](0.4)^{x}[/tex]
The perimeter of the isosceles triangle shown is 53 cm. What is the value of x?
Answer:
21 cm
Step-by-step explanation:
Since this is an isosceles triangle, the two sides with a line through them must have the same value of x. Therefore, you can set up the following equation:
2x+11=53
2x=42
x=21 cm
Hope this helps!
Answer:
21
Step-by-step explanation:
53 - 11 = 42
42/2 = 21
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Jake used 1 centimeter cubes to build a right rectangular prism that has a volume of 24 cubic centimeters. which prism could represent the prism that jake built? please answer fast
Answer:
Shape B (The 2 by 12 one)
Step-by-step explanation:
Because the volume of shape B is 24 and the volume of shape A is 18.
The prism that could represent the prism that jake built is prism B.
What is a prism?A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.
The volume of the prism = 24 cubic centimetres.
The volume of a cube = 1 cube centimetre
This means a total of 24 cubes would have been used to make a prism of 24 cubic centimetres volume.
So, the prism that jake built is prism B i.e. 2*18 type prism.
Hence, the prism that could represent the prism that jake built is prism B.
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Help me with this last question please
Answer:
C
Step-by-step explanation:
C
46x+23=46x+23
23=23
Infinitely many solutions
x squared + 12x +3 = 7 solve by completing the square
Answer:
x = -6 ± 2sqrt(10)
Step-by-step explanation:
x^2 + 12x+3 = 7
Subtract 3 from each side
x^2 +12x = 4
Take the coefficient of x
12
Divide by 2
12/2 = 6
Square it
6^2 =36
Add this to each side
x^2 +12x +36 = 4+36
(x+6)^2 = 40
Take the square root of each side
sqrt((x+6)^2) =± sqrt(40)
x+6 = ± sqrt(40)
x+6 = ± sqrt(4)sqrt(10)
x+6 =± 2sqrt(10)
Subtract 6 from each side
x+6-6 = -6 ± 2sqrt(10)
x = -6 ± 2sqrt(10)
Answer:
(x + 6)² = 40 → x = ±2√10 - 6
Step-by-step explanation:
x²+12x+3=7 can be solved by completing the square
To do so we must first find the term we are adding to both sides of the equation by using [tex](\frac{b}{2} )^2}[/tex]
In this case, our b is 12, so plugging this into the formula we get [tex](\frac{12}{2} )^{2} =6^{2} =36[/tex]
We first need to subtract the 3 from both sides of the equation to get x²+12x=4
We then can add the 36 to both sides of the equation: x² + 12x + 36 = 4 + 36 → x² +12x + 36 = 40
Now we are able to factor the left side of the equation to get (x + 6)² = 40
To solve for x we need to take the square root of both sides [tex]\sqrt{(x+6)^{2} } =\sqrt{40}[/tex] to get x + 6 = ±2√10
Then we need to subtract 6 from both sides to get x = ±2√10 - 6
WILL MARK BRAILIEST TO RIGHT ANSWER
Answer:
no mode
Step-by-step explanation:
the mode is the number that occurs the most. There is non in this case.
hope this helps :)
Answer:
no mode
Step-by-step explanation:
the mode is the number that occurs the most. There is none in this case.
A dice is rolled three times. What is the probability of rolling a 5 each time? Write your answer as a simplified fraction.
Answer:
1/216 or 1/6
Step-by-step explanation:
1/6 times 1/6 times 1/6
What is the probability of tossing a coin twice and getting a head and a tails?
Answer:
Probability for flipping a coin twice and getting heads: 1/2
Probability for flipping a coin twice and getting tails: 1/2
Probability for getting heads AND tails: 0
Probability for getting heads or tails: 1/2
Step-by-step explanation:
Probability is how likely something happens. Since there is only 2 options, the probability for getting one of them would be 1/2 and getting both of them 0, because you can only get one of them. Probability for getting heads or tails would be the same. I'm not sure what your question was, so I did all possible answers. Hope this helps!
Help please thank you lol
Answer:
DE=3 cm
Step-by-step explanation:
From the information we know, we can tell that triangle ABC is a scale factor of 2 from triangle DEF, because 10/5=2.
Side DE would be proportional to side AB.
Side AB is 6, so we would have to divide that by 2, because of our scale factor.
6/2=3.
Hope this helped! Have a good rest of your day!
An experiment consists of rolling a standard number cube. Use the results in the table to find the experimental probability of each event.
Can someone help me with these questions, or explain how to do them?
Answer:
Divide the outcome with the frequency
An experiment consists of rolling a standard number cube. The experimental probability of each event is as follows 1/6, 1/8, 5/36, and 2/13.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Form the result in the table of outcomes and the frequency
a. The probability of rolling a 1 = 1/6
b. The probability of rolling a 5 = 1/8
c. The probability of not rolling a 3 = 5/36
d. The probability of not rolling a number less than 5 = 2/13
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how many x intercepts are in y = x 2+ 4x + 5
Answer:
0 x-intercepts
Step-by-step explanation:
In order to find the x-intercepts ,you need to solve this equation
x² + 4x + 5 = 0 for x and see how many solutions you get:
x² + 4x + 5 = 0
∆ = 4² - 4×1×5 = 16 - 20 = -4
since ∆ < 0 Then the equation has no solution then our Function has none x-intercepts.
check the graph of the function f(x) = x² + 4x + 5 (below)
please help me with this one and more thru the comments I don't have that many points please do it I'm begging u
Step-by-step explanation:
(example)
Think of it this way:
If joe caught 1 fish only
and bonita caught four more than joe
that means that she caught 5 fish in total.
(for the question)
This means that Bonita caught four more fish than Joe.
j + 4 = bonita
j = joe
Triangle DEF is similar to triangle ABC. What is the length of segment EF? (HINT use scale factor) (Leave answer as a fraction)
We have been given two similar triangles. We are asked to find the length of segment EF.
We know that corresponding sides of similar triangles are proportional, so we will use proportion to solve our given problem.
[tex]\frac{EF}{DF}=\frac{BC}{AC}[/tex]
Upon substituting measure of our given side lengths, we will get:
[tex]\frac{EF}{1}=\frac{5}{13}[/tex]
[tex]EF=\frac{5}{13}[/tex]
Therefore, the length of segment EF is [tex]\frac{5}{13}[/tex] units.
Find "x" in this problem
45x+5=140
A) 7
B) 3
C) 2
D) 8
Answer:
B
Step-by-step explanation:
45x=140-5
x=135:45
x=3
(B)
Answer:
BStep-by-step explanation:
45x + 5 = 140 find x
45x + 5 = 140
45x = 140 - 5
45x = 135
x = 135/45
x = 3
can someone help me really quick
Simplify 6^3 x 6^4 *
Answer:
6^7
Step-by-step explanation:
6^3 * 6^4
We know that a^b*a^c = a^(b+c)
6^(3+4)
6^7
Answer:
6^3 x 6^4 = 279936
Hope this helped!
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = - 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (2, - 10) ← 2 ordered pairs from the table
m = [tex]\frac{-10+7}{2-1}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (2, - 10) , then
- 10 = - 6 + c ⇒ c = - 10 + 6 = - 4
y = - 3x - 4 ← equation of linear function