Answer:
(a) [tex]\dfrac{foot \ print \ length }{dinosaurs \ length }= \dfrac{2}{35}[/tex]
(b)The body length of the dinosaur is 525 cm
Step-by-step explanation:
Question
(a) What is the ratio of the length of the footprints in the dinosaur length?
(b) Iris found a new track she believes was made by the same species of dinosaur. If the footprint was 30 cm long and if the same ratio of foot length to body length holds, how long is the dinosaur?
(a)
Given that:
The length of footprint = 40 cm
the thigh bone = 100 cm
the body length = 700 cm
∴
[tex]\dfrac{foot \ print \ length }{dinosaurs \ length }= \dfrac{40}{700}[/tex]
[tex]\dfrac{foot \ print \ length }{dinosaurs \ length }= \dfrac{4}{70}[/tex]
[tex]\dfrac{foot \ print \ length }{dinosaurs \ length }= \dfrac{2}{35}[/tex]
(b)
suppose p,q,r,s are real numbers, where q ≠ 0 & s ≠ 0.
Then:
[tex]\dfrac{p}{q}=\dfrac{r}{s}[/tex] is a proportion if and only if ps = qr
Given that:
length of footprint = 30 cm
If possible the body length of the dinosaur is q (cm)
The length of how long the dinosaur is can be computed as:
[tex]\dfrac{30}{q}=\dfrac{2}{35}[/tex]
2q = 30 * 35
q = (30 * 35)/2
q = 525 cm
line p goes through points (-2 6) and (4 -3) what is the equation of line p
Answer:
y = -2/3x + 3
The variable b varies directly as the square root of c. If b = 100 when c = 4, which equation can be used to find other combinations of b and c? A. B. C. D.
Answer:
b. b=50√c
Step-by-step explanation:
The equation can be used to find other combinations of b and c will be b = 50√c. Then the correct option is B.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The variable b varies directly as the square root of c.
b ∝ √c
If the proportionality sign is removed with the equal sign, then a constant (k) is introduced.
b = k√c
If b = 100 when c = 4.
Then the value of k will be
100 = k√4
100 = 2k
100 / 2 = k
k = 50
Substitute the value of k in equation, then the equation will be
b = 50√c
The equation can be used to find other combinations of b and c will be b = 50√c.
Then the correct option is B.
The complete question is given below.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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18. (1) The value of cot π/4+Q)cot
(π/4 - Q
) is
d. Not-defined.
a. - 1
C. 1
b. 0
What's a freshman sold 69 tickets for the school fundraiser the number of tickets The Freshman sold is equal to 3 less than 4 times the number of tickets that a sophomore had sold exactly how many tickets did the sophomore sell
Answer:
The sophomore sold 264 tickets
Step-by-step explanation:
69-3=66
66×4= 264
-30=5(x+1)−30=5(x+1) proszę szybką odpowiedź :)
Answer:
x = -7
Step-by-step explanation:
The given equation is :
-30=5(x+1)
We need to solve the equation.
Use associative property on RHS.
-30 = 5x+5
Subtract 5 from both the sides.
-30-5 = 5x+5-5
-35 = 5x
x = -7
Hence, the value of x is -7.
can someone help me please i’ll give brainliest
Answer:
D) 3/5 and 9/15
Step-by-step explanation:
3 times 3 equals 9
5 times 3 equals 15
Which of the following is a measure used to describe the typical distance of a
data value from the mean value for a given spread of data, as shown in red
below?
A. Skew
B. Mode
C. Standard deviation
D. Median
Answer:
The correct answer is: Option C: Standard Deviation
Step-by-step explanation:
In a dataset, there are several methods that are used to determine the attributes of the data. One of them is standard deviation.
Deviation is derived from the word "Deviate" which means to move far.
Standard deviation is used to measure the distance of a data value from the mean i.e. how far a data value is from mean.
Hence,
The correct answer is: Option C: Standard Deviation
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of games, g, that Roberto can buy. Enter your answer in the box.
Answer:
The inequality will be 25.50x ≤ 200
he could by 7 video games.
Step-by-step explanation:
25.50x ≤ 200
x ≤ 200/25.50
x ≤ 7.84
Answer:
7 Games
Step-by-step explanation:
Number of games (g) times price per game (25.50) has to be less than or equal to what Roberto has to spend ($200). So
25.50g< or = 200, solving for g = 7.8 so he can buy 7 games with some left over for a milk shake.
suppose you can type 60 words per minute. what is the total number of words typed after 5, 10, 15, and 20 minutes?
Write the output for each glven Input In the tables below. MAPS.1.01.2.3 17. mput Add Output 1 1 + + 18. Input Subtracts Output 30-5 3+4 40-5 19. Input Multiply by 2 Output 20. Input Divide by 2 Output 1 3 2 3 X 2 12 12 3
Answer:
1323×212123/2
20/2
11+18
30-53+440-519
Help needed ASAP will give BRAINLIEST and 5 Stars rate
A rectangle is transformed according to the rule R0, 90º. The image of the rectangle has vertices located at R'(–4, 4), S'(–4, 1), P'(–3, 1), and Q'(–3, 4). What is the location of Q?
(–4, –3)
(–3, –4)
(3, 4)
(4, 3)
Answer:
A
Step-by-step explanation:
i think...
The transformation is (4, 3)
what is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation
If the there is rotation of 90° around the origin (0,0), that can be expressed as
(x, y) => (-y, x)
Which means a 90° rotation that can done by changing coordinates positions and inverting the sign of y-coordinate.
However, the problem is giving the transformed coordinates where
Q'(–3, 4)
Hence, the transformation is (4, 3)
Learn more about transformations here:
https://brainly.com/question/10519316
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what quantity of pepper would you need to make a half recipe
Answer: 3/8
first divide 3/4 then divide that answer by 2 then turn it into a fraction
someone please help if ur good with math!
The answer is C.
A is wrong in y-intercept part.
B is wrong in slope value part.
C is absolutely correct.
D is wrong in y-intercept part.
Please help me with 4/a, b, c and 5/b
Answer:
4:
a.) 49x^2-36y^2
b.) 9a^2-25b^2
c.) 1/25x^2-49
5: b.) -5x^2-4xy+4y^2
Step-by-step explanation:
__________________________________
4a.) [tex]\bold{(7x-6y)(7x+6y)}[/tex]:- Multiplication can be transformed into difference of squares using the rule: [tex](a-b)(a+b)=a^2-b^2[/tex].
- So change the equation using the rule:
[tex](7x)^2-(6y)^2[/tex]- Expand [tex](7x)^2[/tex] and [tex](6y)^2[/tex]:
[tex](7x)^2=7^2x^2[/tex][tex](6y)^2=6^2y^2[/tex]- Calculate [tex]7^2[/tex] and [tex]6^2[/tex]:
[tex]7^2=49[/tex][tex]6^2=36[/tex]So the end equation would be: [tex]49x^2-36y^2[/tex].
4b.) [tex]\bold{(3a+5b)(3a-5b)}[/tex]:- Multiplication can be transformed into difference of squares using the rule: [tex](a-b)(a+b)=a^2-b^2[/tex].
- So change the equation using the rule:
[tex](3a)^2-(5b)^2[/tex]- Expand [tex](3a)^2[/tex] and [tex](5b)^2[/tex] :
[tex](3a)^2=3^2a^2[/tex][tex](5b)^2=5^2b^2[/tex]- Calculate [tex]3^2[/tex] and [tex]5^2[/tex]:
[tex]3^2=9[/tex][tex]5^2=25[/tex]So the end equation would be: [tex]9a^2-25b^2[/tex].
4c.) [tex]\bold{(\frac{1}{5}x-7)}[/tex] × [tex]\bold{(\frac{1}{5}+7)}[/tex]:- Multiplication can be transformed into difference of squares using the rule: [tex](a-b)(a+b)=a^2-b^2[/tex].
- So change the equation using the rule:
[tex](\frac{1}{5}x)^2-7^2[/tex]- Expand [tex](\frac{1}{5}x)^2[/tex]:
[tex](\frac{1}{5})^2x^2[/tex]- Calculate [tex](\frac{1}{5})^2[/tex] and [tex]7^2[/tex] :
[tex](\frac{1}{5})^2=\frac{1}{25}[/tex][tex]7^2=49[/tex]So the end equation would be: [tex]\frac{1}{25}x^2-49[/tex].
5b.) [tex]\bold{(4x-y)(4x+y)+(2x-y)^2-(5x+2y)(5x-2y)}[/tex]:- Consider [tex](4x-y)(4x+y)[/tex]. Multiplication can be transformed into difference of squares using the rule: [tex](a-b)(a+b)=a^2-b^2[/tex].
- So change the equation using the rule:
[tex](4x)^2-y^2[/tex]- Expand [tex](4x)^2[/tex]:
[tex](4x)^2=4^2x^2[/tex]- Calculate [tex]4^2[/tex]:
[tex]4^2=16[/tex]- Use binomial theorem [tex](a-b)^2=a^2-2ab+b^2[/tex] to expand [tex](2x-y)^2[/tex]:
[tex]4x^2-4xy+y^2[/tex]- Combine [tex]-y^2[/tex] and [tex]y^2[/tex]:
[tex]-y^2+y^2=0[/tex]- Consider [tex](5x+2y)(5x-2y)[/tex]. Multiplication can be transformed into difference of squares using the rule: [tex](a-b)(a+b)=a^2-b^2[/tex].
So change the equation using the rule:
[tex](5x)^2-(2y)^2[/tex]- Expand [tex](5x)^2[/tex] and [tex](2y)^2[/tex]:
[tex](5x)^2=5^2x^2[/tex][tex](2y)^2=2^2y^2[/tex]- Calculate [tex]5^2[/tex] and [tex]2^2[/tex]:
[tex]5^2=25[/tex][tex]2^2=4[/tex]- Combine [tex]20x^2[/tex] and [tex]-25x^2[/tex]:
[tex]20x^2+(-25x^2)=-5x^2[/tex]So the end equation would be: [tex]4y^2-4xy-5x^2[/tex].
__________________________________
What expression is equal to 3/7 divided by 5/12?
Answer:
The answer is 6/77
Step-by-step explanation:
I really need help I'm to the point of tears please help
A line that includes the points (g,–7) and (7,2) has a slope of –9. What is the value of g?
Answer:
g = 8
Step-by-step explanation:
The image below shows when g equals 8 and creates the point (8,-7), both that and (7,2) fall on the line of the equation y = -9x + 65, which has a slope of -9.
The surma family took out $140,000 home loan it took them 15 years back the loan and ended up paying back a total of $213,500 what was the simple interest rate of the loan
Answer: 3.5%
Step-by-step explanation:
Interest = PRT / 100
where,
P = Principal = 140,000
R = Rate = Unknown
T = Time = 15
Interest = 213500 - 140000 = 73500
We then slot in the values into the formula
Interest = PRT / 100
73500 = (140,000 × 15 × R) / 100
73500 × 100 = 2100000R
7350000 = 2100000R
Rate = 7350000 / 2100000
Rate = 3.5%
please help:))) I’ll give brainliest
Answer:
289???????????????? :( or :)
Step-by-step explanation:
Given the relationship in the table, what is the value of h(3) multiplied by h(7)???
P.S. I will give brainliest to the correct answer
Answer:
D
Step-by-step explanation:
h(3) is the same as h(x=3) = 1
h(7) is the same as h(x=7)= 5
h(3)*h(7) = 1*5 = 5
EASY QUESTION- MERRY XMAS
Answer:
The answer will be B.
Step-by-step explanation:
When the number is with the x, it moves the graph in the horizontal direction, and when the number is NOT with the x, it moves the graph in the vertical direction.
So, since -6 is with the x, it is moving the graph Right 6 units. Changing it to 4 units results in the the graph moving 2 units left from 6 units.
The -1 is NOT with the x, so it moves the graph down 1 unit. Taking out the -1 (so putting a 0) results in the graph moving 1 unit up from -1.
So, the graph translated up 1 unit and left 2 units.
#teamtrees #WAP (Water And Plant)
Answer:
Its B
Step-by-step explanation:
5. What is the range of the relation below?
Step-by-step explanation:
The answer is option D.
If the total value of the coins is $0.78, what are the missing coins?
Answer:
1 Quarter, 1 Dime, 1 Nickel, a 2 Pennies
Step-by-step explanation:
x+ 0.36=0.78
x=0.42
So, 1 Quarter, 1 Dime, 1 Nickel, and 2 Pennies
0.25 + 0.10+ 0.05+ 0.02= 0.42
0.42 + 0.36 equals 0.78
Hope this helps!!!
Which expression is the same as (2a + b)3?
Answer:
I guess it's A
Step-by-step explanation:
2*2*2+b*b*b
that's 8a³+b³
One-fourth the sum of 1 and what number is one-half the sum of 2 and 1/2 ?
Answer:a 1
Lesson 3-1
Translate each sentence into an equation.
1
Step-by-step explanation:
Triangle PQR and triangle XYZ are similar.
A)Work out the length of XZ.
B)Work out the length of QR.
Answer:
XZ = 16.25 and QR = 6.8
Step-by-step explanation:
This is seen in the relation of PQ and XY
I did 18 / 7.2 and got 2.5
6.5 times 2.5 = 16.25 which is the same comparison seen in the first sentence.
for QR, i did 17 / 2.5 because we needed to go lower and got 6.8.
Answer:
XZ = 16.25 cm
QR = 6.8 cm
Step-by-step explanation:
The triangles are similar, and the following ratios of the lengths of corresponding sides are equal:
PQ/XY = PR/XZ = QR/YZ
The only pair of corresponding sides whose lengths we know is PQ and XY, so we must use it every time to establish a ratio. We will use PQ/XY both times below.
a)
PQ/XY = PR/XZ = QR/YZ
7.2/18 = 6.5/XZ
7.2(XZ) = 18 * 6.5
7.2(XZ) = 117
XZ = 16.25
Answer: XZ = 16.25 cm
b)
PQ/XY = PR/XZ = QR/YZ
7.2/18 = QR/17
18(QR) = 7.2 * 17
18(QR) = 122.4
QR = 6.8
Answer: QR = 6.8 cm
There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium. Write a numerical expression to represent the greatest total number of fish that could be in both aquariums.
Complete question :
There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium
Use the rule to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.
Giant Danio=5 inch length
Tiger barb=3 inch length
What is the correct numerical expression that represents the greatest total number of fish that could be in both aquariums?
Answer:
14
Step-by-step explanation:
Given that :
Tiger barbs = 30 gallon aquarium
Giant danios = 20 gallon aquarium
Greatest number of fish that coild be in both aquarium :
Tiger barb = volume / length
Tiger barb = 30 / 3 = 10 fishes
Giant danios = volume / length
Giant danios = 20 /5 = 4 fishes
Hence, the greatest total number of fishes in both aquarium is :
Number in Tiger barb + number in giant danios
10 + 4 = 14
Complete the square to solve the equation below.
x² + 2x-7= 17
A. x = -1, x = 4
O B. X=-6, x = 4
O C. X=-1, x = 3
O D. x = 5, x= -4
SUBM
9514 1404 393
Answer:
B. x = -6, x = 4
Step-by-step explanation:
The constant on the left wants to be 1, the square of half the x-coefficient. We can get it to be that value by adding 8 to the equation.
x² +2x +1 = 25
(x +1)² = 25 . . . . . . . rewrite the left side as a square
x +1 = ±√25 = ±5 . . . . take the square root
x = -1 ±5 . . . . . . . . . subtract 1
x = -6 or x = 4
Dash asked Lily to cut 5 equal-sized pieces of string for the holiday balloons. Lily only has 3 4/5 meters of string total. What length does each piece of cut string need to be?
Answer:
19/25 metres
Step-by-step explanation:
From the question, we are given;
Total length of the string = 3 4/5 metres
If the string is cut into 5 equal size, the length of each piece will be expressed as;
Length of each piece = Total string length/5
Length of each piece = (3 4/5)/5
Length of each piece = 19/5 ÷ 5
Length of each piece = 19/5 ×1/5
Length of each piece = 19/25 metres
Hence the length of each piece she cut is 19/25 metres
Determine the
the fourth
the geometric sequence. x; 2x+2; 3x+3.
numerical
value
Of
term
OF
Answer:
a₄ = - [tex]\frac{27}{2}[/tex]
Step-by-step explanation:
In a geometric sequence, the common ratio r is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] , substitute values
[tex]\frac{2x+2}{x}[/tex] = [tex]\frac{3x+3}{2x+2}[/tex] ( cross- multiply )
(2x + 2)² = x(3x + 3) ← expand both sides
4x² + 8x + 4 = 3x² + 3x ( subtract 3x² + 3x from both sides )
x² + 5x + 4 = 0 ← in standard form
(x + 1)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
However x ≠ - 1 as this would make the denominator of the second term equal to zero and therefore undefined.
Thus x = - 4 and
r = [tex]\frac{2(-4)+2}{-4}[/tex] = [tex]\frac{-8+2}{-4}[/tex] = [tex]\frac{-6}{-4}[/tex] = [tex]\frac{3}{2}[/tex]
Then
a₁ = - 4
a₂ = - 4 × [tex]\frac{3}{2}[/tex] = - 6
a₃ = - 6 × [tex]\frac{3}{2}[/tex] = - 9
a₄ = - 9 × [tex]\frac{3}{2}[/tex] = - [tex]\frac{27}{2}[/tex]
