Answer:
6
Step-by-step explanation:
Complete the table for the given rule.
Rule: y is 3 less than x
X Y
10
8
6
Answer:
X Y
10 7
8 5
6 3
Step-by-step explanation:
Not much to explain - just put a number 3 smaller than X into column Y
The required table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The rule is given in the question, as follows:
y is 3 less than x
For each value of x in the first column, the corresponding value of y in the second column can be calculated by subtracting 3 from x.
For example, if x is 10, then y is 3 less than x, which is 7 (10 - 3 = 7).
Similarly, if x is 8, then y is 5 (8 - 3 = 5), and if x is 6, then y is 3 (6 - 3 = 3).
The table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
Learn about the linear relationship here :
https://brainly.com/question/11663530
#SPJ5
Given the following function, find f(−5), f(0), and f(4). f(x)=x2+5
Answer:
30, 5 , 21
Step-by-step explanation:
substitute the values of x into f(x) , then
f(- 5) = (- 5)² + 5 = 25 + 5 = 30
f(0) = 0² + 5 = 0 + 5 = 5
f(4) = 4² + 5 = 16 + 5 = 21
Analyze the diagram below and complete the instructions that follow.
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2047
B.60
C. 5/ 169
D.65
The unknown side length x is 65 units.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
Perpendicular = 33
Base = 56
Using Pythagoras theorem
H² = P² + B²
H² = 56² + 33²
H²= 3136 + 1089
H² = 4225
H= √4225
H = 65
Hence, the unknown length is 65 units.
Learn more about Pythagoras theorem here:
https://brainly.com/question/16152233
#SPJ1
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
If I went to the store and purchased a
T-shirt for $10 and jeans for $25, what
was my total expense at the store? Explain
how you got your total.
Help PLZZ no files
Bobby wants to determine the most popular snack for the students at his school.
Which question would be the BEST question to get statistical data?
А
What is your favorite snack food?
B
Will you eat a snack after school today?
С
Do you eat more than one snack a day?
D
Would you rather have chips or cookies for a snack?
Answer:
A. What Is your favorite snack food?
In a survey of 1914 adults, 38% responded "yes" to the survey question. How many adults answered "yes"? (round to the nearest whole person as needed)
Answer:
727 adults
Step-by-step explanation:
In a survey of 1914 adults, 38% responded "yes" to the survey question.
=> The number of adults who answered "yes":
N = 1914 x 38/100 = 727.32 = ~ 727
Answer:
727 adults
Step-by-step explanation:
Number of adults = 38% of 1914
= 0.38 * 1914
= 727.32
≈ 727 adults
2(x+5)=x-19 what is it??
Answer:
\(2(x+5)=x-19 \\ 2x + 10 = x - 19 \\ 2x - x = - 19 - 10 \\ x = - 29\)
Hope it helps
show that the volume of the unit cube is one
Check the picture below.
Find the product of 1.68 and 8.
Answer:
13.44
Step-by-step explanation:
(1 · 8) + (0.6 · 8) + (0.08 · 8)(8) + (4.8) + (0.64)12.8 + 0.6413.44order froom least to greatest, 1/4, 32%, 0.4
Answer:
1/4
32%
0.4
Step-by-step:
1/4 = 0.25
32 = 0.33
0.4 = 0.40
Petra jogs 6 miles in 42 minutes. At this rate, how long would it take her to jog 8 miles?
Answer:
56 minutes
Step-by-step explanation:
We can use proportions to solve.
6 miles 8 miles
------------ = ------------------
42 minutes x minutes
Using cross products.
6x = 42 *8
Divide each side by 6
x = 42/6 * 8
x = 7*8
x = 56
Which statement can be represented by the equation Two-fifths x + 9 = 9?
Two-fifths of nine is a number.
Two-fifths of a number is nine.
Nine more than two-fifths of a number is nine.
A number plus nine is the same as two-fifths of nine.
Given:
The equation is
\(\dfrac{2}{5}x+9=9\)
To find:
The statement for the given equation.
Solution:
For "more" or "plus" we use "+" sign.
For "of" we use "×" sign.
Let x be the unknown number.
Two-fifths of nine is a number.
\(\dfrac{2}{5}(9)=x\)
Two-fifths of a number is nine.
\(\dfrac{2}{5}x=9\)
A number plus nine is the same as two-fifths of nine.
\(x+9=\dfrac{2}{5}(9)\)
These equation are different from the given equation. So, the options A, B and D are incorrect.
Nine more than two-fifths of a number is nine.
\(\dfrac{2}{5}x+9=9\)
It is same as the given equation. Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
. Bert has a well-shuffled standard deck of 52 cards, from which he draws one card; Ernie has a 12-sided die, which he rolls at the same time Bert draws a card. Compute the probability that:
a. Bert gets a Jack and Ernie rolls a five.
b. Bert gets a heart and Ernie rolls a number less than six.
c. Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number.
d. Bert gets a red card and Ernie rolls a fifteen.
e. Bert gets a card that is not a Jack and Ernie rolls a number that is not twelve.
Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.
What is probability, exactly?The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.
Here,
a.
P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)
= (4/52) * (1/12)
= 1/78
b.
P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)
= (13/52) * (5/12)
= 65/624
c.
P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)
= (12/52) * (6/12)
= 1/4
d.
P(Bert gets a red card and Ernie rolls a fifteen) = 0
e.
Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:
A regular 52-card deck contains 48 cards that are not Jacks,
so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.
On a 12-sided dice with 11 possible outcomes,
Ernie rolls a non-12th-number (1, 2, 3, etc.).
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
Leroy baked 63 cookies with 9 scoops of flour. How many scoops of flour does Leroy need in order to bake 70 cookies? Solve using unit rates.
Answer:
10.Step-by-step explanation:
63 cookies = 9 scoops of flour.If we go up once with another scoop of flour,
you should get this:
70 cookies = 10 scoops of flour.What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
For more such questions on square
https://brainly.com/question/27307830
#SPJ8
which statement is true about the figure shown whether it is a square or a rhombus
We have a figure that could be a square or a rhombus, and we have to choose the correct statement.
So,let's analize each statement:
A. KM and JL are perpendicular - This is true for square and rhombus
B. KM and JL are parallel - the diagonals could not be parallel.
C. JM and LM are parallel - The adjacent sides could not be parallel.
D. JL and LM are perpendicular - JL bisects the angle MLK, so if JL and LM are perpendicular the angle MLK must be 180° and this is not possible for adjacent sides, so this statement is false
The correct statement is A, the diagonals of a square or a rhombus are perpendicular.
The number 2/5 is both an blank and an blank
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
Learn more about ratios and fractions here:
https://brainly.com/question/2328454
#SPJ1
Given that f (x) = StartFraction 120 Over x squared EndFraction , What is the domain of the function f ? a. only positive integers c. only negative integers b. All non zero real numbers. d. All real numbers including zero
For the function "f (x) = 120/x²", the domain of the function "f" is (b) All non zero real numbers.
The "Domain" of a function is the set of all possible "input-values" for which the function is defined. In this case, the function is defined as:
f (x) = 120/x²
The only restriction on the input values is that the denominator cannot be equal to zero, because division by zero is undefined.
So, the domain of the function f is all non-zero real numbers.
Therefore, the correct option is (b): All non-zero real numbers.
Learn more about Function here
https://brainly.com/question/29109048
#SPJ1
The given question is incomplete, the complete question is
Given that f (x) = 120/x², What is the domain of the function f ?
(a) only positive integers,
(b) All non zero real numbers,
(c) only negative integers,
(d) All real numbers including zero.
17. Rob purchased a boat three years ago. The boat decreased by 7% each year. Three years
later, the value of the boat was $32,174.28. Which equation initially models the value of Rob's
boat?
A. y = 40,000(0.93)*
B. y = 40,000(1.07)*
C. y = 32,174.28 (0.93)*
D. y = 32,174.28 (1.07)*
Answer:
The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.
Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:
y = 40,000(0.93)^3
where y is the value of the boat after three years, and 40,000 is the initial value of the boat.
Simplifying this equation, we get:
y = 40,000(0.7951)
y = 31,804
However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.
To find the correct equation, we can use the formula for exponential decay:
y = a(1 - r)^t
where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.
In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.
So we can set up an equation:
32,174.28 = 40,000(0.93)^3
Simplifying this equation, we get:
32,174.28 = 31,804.00
This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:
y = 40,000(0.93)^t
where t is the time in years.
am I right for part A. And please help me with B
a) The radius of the sphere is given as follows: 27.13 ft.
b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.
How to obtain the surface area?The surface area for a sphere of radius r is given by the equation presented as follows:
S = 4πr².
The surface area for this problem is given as follows:
9244 ft².
Hence the radius is given as follows:
\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)
r = 27.13 ft.
More can be learned about the surface area of a sphere at https://brainly.com/question/32375678
#SPJ1
Find the perimeter of the following shapes to 1 d.p take r =3.14
Answer:
The perimeter is 19.7
Step-by-step explanation:
The question is not complete and there is no attachment. Nevertheless, we can make do with the given information.
we can picture that the shape is a circle and we are required to find the perimeter/circumference of the circular shape
Given
The radius r= 3.142
Step two:
the perimeter/circumference is expressed as
C=2πr
C= 2*3.142*3.142
C= 19.7
What is the factored form of this expression?
8x3 – 8x2 – 30x
Please help !!!
Answer: The answer to this question is 2x(2x+3)(2x-5)
Step-by-step explanation:
Which is a perfect square?
6’1
6’2
6’3
6’5
Answer:
6'2
Step-by-step explanation:
you need 1 1/4 cup of sugar to make 20 cookies to make 12 cookies how much sugar do you need
Rachael mixes 750 mL of mango juice 650 mL of orange juice and 325 mL pineapple juice she add sparkling water to fill the punch bowl that has a capacity of 2.5 L how many liters of juice does Rachel use show all work
Answer:
A. 1.725 L
B. 0.0775 L or 775 mL
Step-by-step explanation:
Part A
↓ Determine the liters of juice Rachel used ↓
750 + 650 +325 = 1,725
Rachel used 1,725 mL of juice. Convert the given mililiters to liters.
\(1725 \: ml \: \times \frac{1liter}{1000 \: ml} = 1.725 \: liters\)
→ Rachel used 1.725 L of juice
Part B.
Determine the amount of sparkling water added to the punch bowl.
2.5 - 1.725 = 0.775 L
0.775 L was added tot he punch bowl. Convert liters to milliliters. ↓
\(0.775 \: \times \frac{1000 \: ml}{1 \: liters} = 775 \: ml\)
Therefore, the answer is:
1.725 L & 775 mL
Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.
The number of ways it can be done if order of the choices is taken into consideration is 15,444 ways
Permutation and combinationPermutation has to do with arrangement and combination has to do with selection.
If we are choosing 5 objects, without replacement, from 15 distinct objects, this has to do with permutation if the order of the choices is taken into consideration
15P5 = 15!/(15-5)!5!
15P5 = 15!/10!5!
15P5 = 15*14*13*12*11/5*4*3*2
15P5 = 15,444 ways
Hence the number of ways it can be done if order of the choices is taken into consideration is 15,444 ways
Learn more on permutation here: https://brainly.com/question/11732255
#SPJ1
Complete question
Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices is taken into consideration?
Kimberly wrote a proof. What was her error?
will mark brainiliest.
The error is:
∠M and ∠N are supplementary.
m∠M + m∠N = 180
∠N and ∠0 are supplementary.
m∠N + m∠0 = 180
We have,
In a parallelogram, consecutive angles are supplementary.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.
Since opposite sides are parallel, opposite angles in a parallelogram are congruent (equal in measure).
Consecutive angles are the pair of angles that share a side in the parallelogram.
The sum of the measures of these consecutive angles is always 180 degrees, making them supplementary.
Thus,
The error is:
∠M and ∠N are supplementary.
m∠M + m∠N = 180
∠N and ∠0 are supplementary.
m∠N + m∠0 = 180
Learn more about parallelograms here:
https://brainly.com/question/1563728
#SPJ1
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
Which angle’s measure is equal to the sum of the measures of ∠BAC and ∠BCA?
∠CBA
∠CBE
∠DAC
∠BCF
Answer:
cbe
Step-by-step explanation:
The angle whose measure is equal to the sum of the measures of ∠BAC and ∠BCA is ∠CBE, the correct option is B.
What is an Angle?An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.
The angle whose measure is less than 90 degree is called the acute angle, whose measure is equal to 90 degree is called right angle, the angle whose measure is greater than 90 degree is called obtuse angle.
The ∠BAC and ∠BCA are the interior angles of the triangle,
According to the theorem of exterior angle, The measure of the exterior angle is equal to the sum of the two opposite interior angles.
The sum of the angles, ∠BAC and ∠BCA is equal to the opposite exterior angle, i.e. ∠CBE
∠CBE = ∠BAC + ∠BCA
Your question seems incomplete, the complete question is attached with the answer.
To know more about Angle
https://brainly.com/question/13954458
#SPJ5