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Related Questions
A psychologist is interested in the social interactions of preschool children. She measures the number of verbal interactions that each child at a preschool engages in during a day. Here is the frequency distribution of the data. The cumulative frequency for the interval 46-55 is _________
Answers
Answer:
\(CF = 13\)
Step-by-step explanation:
Given
See attachment for table
Required
Determine the cumulative frequency for interval 46 - 55
To do this, we add up the frequency from the lowest interval up to interval 46 - 55.
From the attached table, the lowest interval is 6-15.
So, the cumulative frequency (CF) is:
\(CF = 1+2+3+3+4\)
\(CF = 13\)
3a) (4 NF B.4.b. 4.NBTA1, 4.0AA.1) 28 is 7 times what number? Write your answer as a number. If a fraction is necessary, use the "/" key as the fraction symbol. Your
Answers
Answer:
4
Step-by-step explanation:
28/7=4
If f(x) = 2(3x - 5) when f(x) = 74, what is
the value of x?
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Answer:
f(×)=2(3×-5)
f(×)=74
×
Step-by-step explanation:
2(6×2)=32
Answer:
x = 14
Step-by-step explanation:
Given f(x) = 2(3x - 5) and f(x) = 74, then equate right sides
2(3x - 5) = 74 ( divide both sides by 2 )
3x - 5 = 37 ( add 5 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
For a certain strain of bacteria, k is 0.683 when t is measured in days. Using the formula y = aek, how long will it take 12 bacteria to increase to 732 bacteria?.
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Answer:
5.9 miliseconds
Step-by-step explanation:
it is it because there is a second to millisecond on a watch
How many liters of paint are in a 5 gallon bucket round your answer to the nearest liter
Answers
Answer:
19 liters
Step-by-step explanation:
Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, how much is 5 pounds of gummy candy?
Answers
Answer:
$7.5
Step-by-step explanation:
Cost of 5 pounds of gummy
=$(4.5/3)(5)
=$7.5
Which of the following are factor pairs for 54?select all that apply.
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Answer:
The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.
Step-by-step explanation:
hope this helped:)
brainliest for the brains........................
The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.
Here, we have,
The factors of 54 are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.
Factors of 54: 1,2,3,6,9,18,27 and 54
Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number.
To find the factors of a number, 54, we will use the factorization method.
To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.
54 ÷ 1 = 54
54 ÷ 2 = 27
54 ÷ 3 = 18
54 ÷ 6 = 9
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A rectangle's base is 2 in shorter than five times its height. The rectangle's area is 115 in². Find this rectangle's dimensions.
The rectangle's height is
The rectangle's base is
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Answer:
The rectangle's height is 5 in,The rectangle's base is 23 in.Step-by-step explanation:
Let the dimensions are b and h.
The area of rectangle is the product of two dimensions.
We have:
b = 5h - 2,bh = 115 in².Solve the equation by substitution:
h(5h - 2) = 1155h² - 2h = 1155h² - 2h - 115 = 05h² - 25h + 23h - 115 = 05h(h - 5) + 23(h - 5) = 0(h - 5)(5h + 23) = 0h - 5 = 0 and 5h + 23 = 0h = 5 and h = - 23/5The second root is discarded as negative.
The height is 5 in,The base is: 5*5 - 2 = 23 inAnswer:
Height = 5 in
Base = 23 in
Step-by-step explanation:
\(\boxed{\textsf{Area of a rectangle} = \sf Base \times Height}\)
Let x be the height of the rectangle.
Given values:
Height = x inBase = (5x - 2) inArea = 115 in²Substitute the values into the formula for area and solve for x:
\(\begin{aligned}\sf Area & = \sf Base \times Height\\\\115&=x(5x-2)\\115&=5x^2-2x\\5x^2-2x-115&=0\\5x^2-25x+23x-115&=0\\5x(x-5)+23(x-5)&=0\\(5x+23)(x-5)&=0\\\\\implies 5x+23&=0 \implies x=-\dfrac{23}{5}\\\implies x-5&=0 \implies x=5\end{aligned}\)
As length is positive, x = 5.
To find the rectangle's dimensions, substitute the found value of x into the expressions for the height and base:
\(\implies \sf Height=5\;in\)
\(\begin{aligned}\implies \sf Base&=\sf 5(5)-2\\&=\sf 25-2\\&=\sf 23\;in\end{aligned}\)
9 by the power of 2 x 2-4 by the power of 2
I AM IN THE NEED OF HELP ASAP THIS QUESTION IVE BEEN STUCK ON THIS ONE FOR HOURS!!!!
Answers
Answer:
1
Step-by-step explanation:
What formula should I use to solve this problem. I’m usebig z=k square root x over y^3
Answers
The value of z is 58 when z is directly proportional to \(\sqrt{x}\) and indirectly proportional to \(y^{3}\)
We have :
z is directly proportional to \(\sqrt{x}\)
z is inversely proportional to \(y^{3}\)
Now, we introduce a constant of proportionality, then
\(z = k\frac{\sqrt{x} }{y^{3} }\)
It is given that z = 248 when x is 9 and y is 4.
Then, Applying these values in the equation,
\(z = k\frac{\sqrt{x} }{y^{3} }\)
\(248 = k\frac{\sqrt{9} }{\ 4^{3} } \\\\248 = k \frac{3}{64} \\\\k = \frac{248*64}{3} =\frac{15872}{3} =5290.67\)
Now, we need to calculate the value of z when x = 64 and y =9.
\(z = k\frac{\sqrt{x} }{y^{3} }\)
\(z =\frac{15872}{3} *\frac{\sqrt{64} }{9^{3} } = \frac{15872*8}{3*729} =\frac{126976}{2187} \\z = 58.05\)
Hence, the value of z = 58.05
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When can we say that the two triangles are congruent?
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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
What is congruent?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
Here,
we have to prove when can we say that the two triangles are congruent.
SSS, SAS, ASA, AAS, and HL.
These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.
Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
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you manage a restaurant and need to replace a broken dishwasher
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Answer:
B
Step-by-step explanation:
Let R be the relation defined on Z by aRb if a + b is even. Show that R is an
equivalence relation.
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R s an equivalence relation on the set of integers Z using the properties of reflexivity, symmetry, and transitivity.
To show that the relation R defined on the set of integers Z is an equivalence relation, we need to demonstrate that it satisfies three properties: reflexivity, symmetry, and transitivity.
Reflexivity: For any integer a, a + a = 2a, which is always even. Therefore, aRa holds true for all integers a, showing that R is reflexive.
Symmetry: If aRb holds, then a + b is even. However, the sum of two integers is unaffected by their order. So if a + b is even, b + a will also be even. Hence, if aRb, then bRa, establishing symmetry.
Transitivity: Suppose aRb and bRc, meaning a + b and b + c are both even. In this case, we can express a + c as (a + b) + (b + c) - 2b. Since the sum of two even numbers is even, and 2b is also even, it follows that a + c is even. Therefore, if aRb and bRc, then aRc, demonstrating transitivity.
In conclusion, the relation R satisfies the properties of reflexivity, symmetry, and transitivity, proving that it is an equivalence relation on the set of integers Z.
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Convert the following into scientific notation:
70.2 = _____ x 10 ____
Answers
Answer:
7.02 x 10^1
Step-by-step explanation:
Answer:
7.02 * 10^1
Step-by-step explanation:
Which of the following tables represents the proportional relationship for 3 cups of grape juice for every 1/4 cup of sherbet?
Grape Juice (cups) 0.25 1 1.5
Rainbow Sherbet (cups) 3 69
Grape Juice (cups) 3 6 9
Rainbow Sherbet (cups) 0.25 0.5 0.75
Rainbow Sherbet (cups) 0.25 1 1.5
Grape Juice (cups) 3 69
Rainbow Sherbet (cups) 3 6 9
Grape Juice (cups)
0.25 05 075
cup of rainb
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This is the proportional relationship that represents the given table.
Grape juice : Sherbet
3 : 0.25
6 : 0.5
9 : 0.75
So, option 4 is correct
What is meant by ratio?A ratio in mathematics represents the number of times one number contains another. For instance, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the lemon-to-orange ratio is 6:8 (or 3:4), while the orange-to-fruit ratio is 8:14. (or 4:7).
Ratios are mathematical expressions that compare two numbers by dividing them. If you want to compare one data point (A) to another (B), your formula is A/B.
Grape juice : Sherbet
3 : 1/4=0.25
3 : 0.25
For, 3×2 : 0.25×2
6 : 0.5
For, 3×3 : 0.25×3
9 : 0.75
Therefore, option 4 correct.
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Answer:
The Correct Answer is A.
Step-by-step explanation:
This is because it's asking you what the relationship of 3 cups of grape juice FOR EVERY 1/4 of sherbet. And in this case, that means that the sherbet is the independent variable. which means that the correct answer is
write the equation of a circle that has a center of ( -3,1 ) and a radius 3 .( please help )
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The equation of the circle is:
\((x+3)^2+(y-1)^2=9\)Explanation:The equation of a circle with center at (h, k) and radius r is given as:
\((x-h)^2+(y-k)^2=r^2\)For a canter (-3, 1) and radius 3, we have:
\((x+3)^2+(y-1)^2=3^2\)c times 30, reduced by 293 is equal to 47
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The required solution to the equation is C = 11.33.
What is Expression?
An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent principles.
According to question:To solve for C in this equation, we can use algebraic manipulation.
The given equation is:
C * 30 - 293 = 47
First, we can add 293 to both sides to isolate the term with C:
C * 30 = 47 + 293
Simplifying the right side gives:
C * 30 = 340
Finally, we can divide both sides by 30 to solve for C:
C = 340 / 30
C = 11.33
Therefore, the solution to the equation is C = 11.33.
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Answer:
11.33
Step-by-step explanation:
Look at me, aren't I “acute"! With two of my angles
measuring under 90 degrees, I think it is easy to see.
My third angle helps me stand up straight and keeps
me right and great! What shape am I? Draw me.
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Answer:
a acute angle
Hope this helps!
10. The set of prime numbers greater than 11 with the cardinality of 5.
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The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}
How to determine the setFrom the question, we have the following parametes that can be used in our computation:
Set = prime numbers
Cardinality = 5
The cardinality implies that the number of elements in the set is 5
5 prime numbers greater than 11 are 13, 17, 19, 23, 29
Hence, the set is {13, 17, 19, 23, 29}
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eric has 20 toy trains. Tommy has 3 times as many. How many toy trains does tommy have?
Answers
Answer:
20 times 3, do the math and you get
Answer:
60
Step-by-step explanation:
20x3=60 ............
a summer soccer cam ordered a total of 84 soccer balls and t-shirts for the season. Soccer balls cost $25 each and t-shirts cost $9.50 each. if they paid $1,046 total for the purchase, how many of each item was ordered?
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The Number of Soccer Balls is 16 and the Number of T-Shirts is 68
What is Linear Equation in Two Variables?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let,
Number of Soccer Balls = x
Number of T-Shirts = y
Equation 1:
x + y = 84 -----------(i)
Equation 2:
25x + 9.5y = 1046 ----------(ii)
Multiplying Equation 1 by 25
25x + 25y = 2100 ---------(iii)
Substracting Equation2 from Equation 1
15.5y = 1054
y = 68
So, x = 16
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could someone help me with this and show work?
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The volume of the shape is 490cm³
What is volume of prisms?A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.
The base of this prism is rectangular. The volume of a prism is expressed as;
V = base area × height
base area = 7 × 10 = 70cm²
height = 7cm
the volume of the shape = 70× 7 = 490cm²
therefore the volume of the shape is 490cm³.
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Given:
p: Two linear functions have different coefficients of x.
q: The graphs of two functions intersect at exactly one point.
Which statement is logically equivalent to q-p?
If two linear functions have different coefficients of x, then the graphs of the two functions intersect at exactly one
point.
O If two linear functions have the same coefficients of x, then the graphs of the two linear functions do not intersect
at exactly one point.
If the graphs of two functions do not intersect at exactly one point, then the two linear functions have the same
coefficients of x.
O If the graphs of two functions intersect at exactly one point, then the two linear functions have the same
coefficients of x.
Answers
Answer:
Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B? The initial values of the two functions are different, and the rates of change of the two functions are also different. The initial values of the two functions are different, and the rates of change of the two functions are the same. The initial values of the two functions are the same, and the rates of change of the two functions are different. The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
if 8 out of 12 marbles in a bag are green, what is the probability that a marble selected at random from the bag will NOT be green?
Answers
Answer:
The Probability that a marble selected at random from the bag will NOT be green is 1/3
Step-by-step explanation:
The probability of selecting a green bag
= Total No.of green bags/ Total number of bags
=8/12
= 2/3
Then the probability not of selecting a green bag
= 1 - The probability of selecting a green bag
= 1-(2/3)
= 1/3
(15 points) Critique Reasoning Jamie says that the
expressions 6x - 2x + 4 and 4(x + 1) are not
equivalent because one expression has a term
that is subtracted and the other does not. Do
you agree? Explain.
a
Answers
Answer:
they are the same
Step-by-step explanation:
6x - 2x + 4 ← collect like terms
= 4x + 4
and
4(x + 1) ← distribute parenthesis by 4
= 4x + 4
The 2 expressions are equivalent to 4x + 4
Answer:
No, Jamie is incorrect
Step-by-step explanation:
No, because in the expression 4(x+1) you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4.
Also in the expression 6x-2x+4 ,you will first need to subtract 2x from 6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4
Our final answer is:
6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4
Which fraction is equivalent to -1/3 ?
A -1/3 = 1/3
B -1/3-1/-3
C -1/3 = 2/6
D -1/3 = 1/-3
Answers
The equivalent fraction is 1/-3, so the correct option is D.
Which fraction is equivalent to -1/3?
We define a fraction as the quotient of two integer numbers a and b, such that is written as:
a/b
Now, a negative fraction can be written in multiple forms, these are:
-(a/b)
(-a)/b
a/(-b)
All these ways are equivalent ways of writing the same fraction.
Then for our fraction -1/3, we can just move the negative sign to the denominator, so we get:
-1/3 = 1/-3
This, we can conclude that the correct option is D.
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the owner of a small store buys coats for $55.00 each. He sells the coats for 88.00 each
Answers
Answer:
He would make $33.00 for profit.
Step-by-step explanation:
What is the solution to the equation 5x-7= 3x+5?
Ox=1
O x = 6
O x = 12
O x = 24
Answers
x = 6
Step-by-step explanation:
Step 1: Group all y terms on the left side of the equation
Subtract 3x from both sides:
5x - 7 = 3x + 5
5x - 7 -3x = 3x + 5 - 3x
2x - 7 = 3x + 5 - 3x
2x - 7 = 5
Step 2: Group all constants on the right side of the equation
Add 7 to both sides of the equation:
2x - 7 = 5
2x - 7 + 7 = 5 + 7
2x = 5 + 7
2x = 7
Step 3: Isolate the y
Divide both sides of the equation by 2:
2x = 12
2x/2 = 12/6
x = 12/2
x = 6
The solution of the given expression is x = 6.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Subtract 3x from both sides:
5x - 7 = 3x + 5
5x - 7 -3x = 3x + 5 - 3x
2x - 7 = 3x + 5 - 3x
2x - 7 = 5
Add 7 to both sides of the equation:
2x - 7 = 5
2x - 7 + 7 = 5 + 7
2x = 5 + 7
2x = 7
Divide both sides of the equation by 2:
2x = 12
2x/2 = 12/6
x = 12/2
x = 6
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Which sentence describes a way to determine the missing number number in the pattern?
Answers
Answer:
70910 not sure
Step-by-step explanation:
70.91 x 10 = 709.1 70.91 x 100 = 7,091 70.91 x 1,000 =
Design a nonlinear system that has at least two solutions. One solution must be the ordered pair: (-2, 5). Tell how you came up with your system and give the entire solution set for the system.
Answers
Answer:
\( \begin{cases} (x - 2)^2 + (y - 2)^2 = 25 \\ y = 5 \end{cases} \)
Solutions: x = 6, y = 5 or x = -2, y = 5
Step-by-step explanation:
Use a graph.
Plot point (-2, 5). That will be a point on a circle with radius 5.
From point (-2, 5), go right 4 and down 3 to point (2, 2). (2, 2) is the center of the circle.
You now need the equation of a circle with center (2, 2) and radius 5.
Use the standard equation of a circle:
\( (x - h)^2 + (y - k)^2 = r^2 \)
where (h, k) is the center and 5 is the radius.
The circle has equation:
\( (x - 2)^2 + (y - 2)^2 = 25 \)
To have a single solution, you need the equation of the line tangent to the circle at (-2, 5), but since you want more than one solution, you need the equation of a secant to the circle. For example, use the equation of the horizontal line through point (2, 5) which is y = 5.
System:
\( \begin{cases} (x - 2)^2 + (y - 2)^2 = 25 \\ y = 5 \end{cases} \)
To solve, let y = 5 in the equation of the circle.
(x - 2)^2 + (5 - 2)^2 = 25
(x - 2)^2 + 9 = 25
(x - 2)^2 = 16
x - 2 = 4 or x - 2 = -4
x = 6 or x = -2
Solutions: x = 6, y = 5 or x = -2, y = 5
An example of a nonlinear system that has at least two solutions, one of which is (-2,5) are,
⇒ x² + y² = 29
⇒ 3x + 4y = -2
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, This system by starting with the equation of a circle centered at the origin with radius sqrt(29), which is,
⇒ x² + y² = 29.
Then, Added a linear equation that intersects the circle at (-2,5) to create a system with two solutions.
The entire solution set for this system is: (-2, 5) and (7/5, -19/10)
Thus, An example of a nonlinear system that has at least two solutions, one of which is (-2,5) are,
⇒ x² + y² = 29
⇒ 3x + 4y = -2
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