Answer:
C
Step-by-step explanation:
The interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁
From the five- number summary , then
Q₃ = 24.5 and Q₁ = 11.1
interquartile range = 24.5 - 11.1 = 13.4 → C
Bob and Nan have 2 dozen chocolate chip cookies and
18 peanut butter cookies. They are preparing gift baskets for
their friends. They plan to put 4 chocolate chip cookies and
3 peanut butter cookies in each basket. What is the largest
number of baskets they can make and still have enough
cookies?
A 2 baskets
B 4 baskets
C 9 baskets
D 6 baskets
Answer:
it's D
Step-by-step explanation:
2 dozen is 24 so we have 18 pnt butter and 24 choc chip.
they're putting 4 choc chp in each so do 24/4
they're putting 3 pnt butter in each so do 18/3
both are 6 so D is the answer
Find the area of this circle
Answer:
314ft²
Step-by-step explanation:
A = 3.14(10²)
A = 3.14 x 100
A = 314ft²
Answer:
Area is 314 ft²
Step-by-step explanation:
[tex]A = \pi {r}^{2} [/tex]
r is radius,
[tex]r = \frac{diameter}{2} = \frac{20}{2} = 10 \: ft[/tex]
therefore:
[tex]A = 3.14 \times {10}^{2} \\ A = 3.14 \times 100 \\ A = 314 \: {ft}^{2} [/tex]
Identify the property of real numbers that justify the work done to simplify the expression below.
The property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.
What is the distributive property of multiplication?The distributive property of multiplication states that the same result is obtained by multiplying the sum of two or more addends by a number or multiplying each addend individually and adding the products.
The steps for the distributive property of multiplication are:
Expand the equation.Multiply (distribute) the first numbers of each set, outer numbers, inner numbers, and the last numbers. Combine like terms. Solve the equation and simplify.Thus, the property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.
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7-15
Dividing decimals
Answer:
7-15= -8
Step-by-step explanation:
Is (7,-2) a solution to the equation x - 4y = 15?
Please show work to help me understand.
Answer:
yes
Step-by-step explanation:
x - 4y = 15
Substitute the point into the equation and see if the equation is true
7 -4(-2) = 15
7+8 = 15
15 =15
This is true so the point is a solution to the equation
40 POINTS !!!!
In this course, we’ll begin to explore “opposite” function types. For example, think about a quadratic function and its key features. What key features do you think its opposite function will have? Why?
Answer:
Step-by-step explanation:
The key features of a quadratic function are the y-intercept, the axis of symmetry, and the coordinates and nature of the turning point (or vertex)
for opposite: Its reflection and its symmetrical
opposite function or inverse functions are reflections of each other over the line y = x. You find the inverse by switching x and y in the equation.
Pls Say
hard question
Answer:
Range is 19.54
Step-by-step explanation:
I. If R = H - L
when R is Range, H is highest value and L is lowest value
R = 25.6 - 6.06
R = 19.54
What is the exact maximum and minimum values of f(x)=[tex]\sqrt{x+x^2} -2\sqrt{x}[/tex] on [0,4]?
Answer:
[tex]\displaystyle \text{min} = \frac{\sqrt{3+2\sqrt{3}}}{2} - \frac{2\sqrt[4]{3}}{\sqrt{2}} \text{ at } x = \frac{\sqrt{3}}{2}\text{ and } \\ \\ \text{max} = 2\sqrt{5} -4 \text{ at } x = 4[/tex]
Step-by-step explanation:
We want to find the maximum and minimum values of the function:
[tex]\displaystyle f(x) = \sqrt{x + x^2} - 2\sqrt{x}[/tex]
On the interval [0, 4].
First, evaluate its endpoints:
[tex]\displaystyle \begin{aligned} f(0) &= \sqrt{(0)+(0)^2} - 2\sqrt{0} \\ &= 0 \\ \\ f(4) &= \sqrt{(4)+(4)^2} - 2\sqrt{(4)} \\ &= 2\sqrt{5} -4 \end{aligned}[/tex]
Recall that the extrema of a function occurs at its critical points; that is, where its derivative equals zero (or is undefined).
Take the derivative of both sides:
[tex]\displaystyle f'(x) = \frac{d}{dx}\left[ \sqrt{x + x^2} - 2\sqrt{x}\right][/tex]
Differentiate:
[tex]\displaystyle \begin{aligned} f'(x) &= \frac{1}{2\sqrt{x + x^2}} \cdot (1 + 2x) - 2\left(\frac{1}{2\sqrt{x}}\right) \\ \\ &= \frac{2x+1}{2\sqrt{x+x^2}} - \frac{1}{\sqrt{x}} \\ \\\end{aligned}[/tex]
Note that the derivative is undefined at x = 0. Hence, x = 0 is a critical point.
Solve for the zeros of the derivative:
[tex]\displaystyle\begin{aligned} \frac{2x+1}{2\sqrt{x + x^2}} - \frac{1}{\sqrt{x}} &= 0\\ \\ \frac{2x+1}{2\sqrt{x}\sqrt{1 + x }} - \frac{1}{\sqrt{x}} &= 0 \\ \\ \frac{2x+1}{2\sqrt{1+x}} - 1 &= 0\\ \\ 2x + 1 &= 2\sqrt{1+x} \\ \\ 4x^2 + 4x + 1 &= 4 + 4x \\ \\ x^2 &= \frac{3}{4} \\ \\ x= \frac{\sqrt{3}}{2} \end{aligned}[/tex]
Therefore, our only two critical points are at x = 0 and x = √3/2:
Evaluate the function at x = √3/2:
[tex]\displaystyle \begin{aligned} f\left(\frac{\sqrt{3}}{2}\right) &= \sqrt{\left(\frac{\sqrt{3}}{2} \right)+ \left(\frac{\sqrt{3}}{2}\right)^2} - 2 \sqrt{\left(\frac{\sqrt{3}}{2}\right)} \\ \\ &= \frac{\sqrt{3+2\sqrt{3}}}{2}- \frac{2\sqrt[4]{3}}{\sqrt{2}} \\ \\ &\approx -0.5900\end{aligned}[/tex]
In conclusion: the exact maximum and minimum values of f on the interval [0, 4] is:
[tex]\displaystyle \text{min} = \frac{\sqrt{3+2\sqrt{3}}}{2} - \frac{2\sqrt[4]{3}}{\sqrt{2}} \text{ at } x = \frac{\sqrt{3}}{2}\text{ and } \\ \\ \text{max} = 2\sqrt{5} -4 \text{ at } x = 4[/tex]
A line passes through the point (-4,6) and has a slope of 5/4
Answer:
4y-5x-44=0
Step-by-step explanation:
It passes through one point with the formula being
y-y1=m(x-x1)
y-6=5/4(x-(-4))
y-6=5/4(x+4)
cross multiply
4(y-6)=5(x+4)
4y-24=5x+20
collect like terms
4y-5x=20+24
4y-5x=44
4y-5x-44=0
Answer:
Step-by-step explanation:
I will ASSUME you want an equation
In slope/intercept form it is
6 = (5/4)(-4) + b
b = 11
y = (5/4)x + 11
or in slope/point form is
(y - 6) = (5/4)(x + 4)
2/3|3x-6|=4(x-2)
solve for x; show your work
Will award brainliest
The product of 2 and a number k, subtracted from 17
A. 2+k+17
B. 2k+17
c. 17-2k
D. 2k-17
hi <3
product means multiplication, therefore we know there has to be a '2k' and we can eliminate option A
also, there is a mention of subtraction, so we can also eliminate option B
now we are left with C and D
it is stated that it is being subtracted FROM 17, therefore the 17 would have to come first
in short, your answer is option C
hope this helps :)
The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
given that,
The product of 2 and a number k, subtracted from 17
we have to find the expression for given statement.
let the number be x
now, we have,
The product of 2 and a number k,
i.e. 2*k = 2k
then, subtracted from 17
i.e. 17 - 2k
so, we get,
x = 17 - 2k
Hence, The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.
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How is 1.2 x 10 written is standard decimal notation?
Answer:
12
Step-by-step explanation:
1.2*10 = 1.2
Answer:
12
Step-by-step explanation:
the "normal form" to write numbers : just the digits and a decimal point when needed.
so, 1.2 × 10 = 12
12 is the normal, standard decimal notation.
in some cases it can be also 12.0 or 12.00 (especially with money).
the other form is the scientific notation, where a number is written with its leading digits and the power of 10 as the total value "weight". like in this example 1.2 × 10¹
Use the Distributive Property to multiply. 2(b – 7)
Answer:
2b - 14
Step-by-step explanation:
2(b – 7)
2b - 14
Answer:
[tex]2b-14[/tex]
Step-by-step explanation:
Using the distributive property, [tex]2(b-7)[/tex] can be written as [tex](2\cdot b)-(2\cdot7)[/tex] which solved/simplified is [tex]2b-14[/tex]
Man, it's late! Well, hope this helped you out and answered your question!
Urgently needed the answer
Answer:
option b is the correct answer.
Explanation is beloe
Step-by-step explanation:
x²+y²=9
xy=8
x+y=?
Now,
(x+y)²=x²+2×x×y+y²
(x+y)²=x²+2xy+y²
(x+y)²=x²+y²+2xy
(x+y)²=9+2×8
(x+y)²=9+16
(x+y)²=25
(x+y)²=5²
x+y=±5
I hope it helped U
stay safe stay happy
Step-by-step explanation:
[tex]we \: have \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ here \: {x}^{2} + {y}^{2} = 9 \\ xy = 8 \\ then {(x + y)}^{2} = 9 + 2 \times 8 \\ {(x + y)}^{2} = 9 + 16 = 25 \\ {(x + y)}^{2} = 25 \\ x + y = \sqrt{25} = +/-5 \\ thank \: you[/tex]
15. Ankita bought 20 copy for Rs. 25 each. She got profit of Rs.200 while selling it. Find selling price of the copies. no
Answer:
SP=Rs.700
Step-by-step explanation:
cost price of a copy=R's.25
cost price of 20copy=20×25=Rs.500
profit=Rs.200
selling price of 20 copies=?
Now, we know that,
profit=sp-cp
or, 200=sp-500
or, 200+500=sp
thus, SP=Rs.700
Hence, the selling price of 20copies is 700.
PLEASE ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)
Answer:
Line 1: (9+x)x
Line 2: x(9 + x)
The order of multiplies changed.
This is called a Commutative Property of Multiplication.
ab = ba or(9 + x)x = x(9 + x)Line 3: x(x+9)
The order of added terms within parenthesis changed.
This is called a Commutative Property of Addition.
a + b = b + a9 + x = x + 9Line-1 to Line 2- Commutative property of multiplication
Line-2 to Line-3 =Commutative property of addition
Lets solve
[tex]\\ \rm\longmapsto (9+x)x[/tex]
[tex]\\ \rm\longmapsto x(9+x)[/tex]
[tex]\\ \rm\longmapsto x(x+9)[/tex]
[tex]\\ \rm\longmapsto x^2+9x[/tex]
14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.
Answer:
123 456lcm divison method
Pls help
The formula for the volume of a pipe with outer radius R, inner radius r and length L is
V=π(R2 − r2)L
What is the value of V when π = 22/7, R =11, r = 9 and L = 7?
Answer:
V=880
Step-by-step explanation:
V=π(R^2 − r^2)L
V=(22/7)*7*(11^2-9^2)
V=880
pls say hard very hard
(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.
(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?
On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:
50 ≤ score ≤ 60 ==> 50-60
60 < score ≤ 70 ==> 60-70
70 < score ≤ 80 ==> 70-80
80 < score ≤ 90 ==> 80-90
90 < score ≤ 100 ==> 90-100
Then a student who scored a 60 should be added to the 50-60 category.
Type your answer into the box and choose the correct answer. Gifts are packaged in cylinders. Each cylinder is 12 cm high with a diameter of 8 cm. Calculate the volume of each cylinder. Use 3 as a value for TT Give your answer using the correct units. Select...
Answer:
volume of a cylinder
V= TTr² h
V= volume
TT= pie
h= height
Step-by-step explanation:
Note: radius is 2times diameter ... if you are given diameter and to convert to radius, divide the diameter by 2
V=TTr²h
r= 8/2 =4cm
V= 3×4²×12
V=3×16×12=576cm³
Can someone help me please and show work , thank you
Answer:
55 degrees
Step-by-step explanation:
Hi there!
The sum of the interior angles of a triangle is always 180 degrees.
We can solve for the interior angles at the bottom by subtracting both 135 and 100 from 180 (because straight lines have a measure of 180 degrees too):
180-135 = 45 degrees
180-100 = 80 degrees
Now, to solve for the final angle at the top, subtract 80 and 45 degrees from 180:
180-80-45 = 55 degrees
This angle at the top measuring 55 degrees is the opposite angle of x. Opposite angles are always congruent, so therefore, x measures 55 degrees.
I hope this helps!
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue?
Answer:
.75
Step-by-step explanation:
8 red marbles, 3 blue marbles, and 1 green marble = 12 marbles
P( not blue) = marbles that are not blue / total
=(8red+1 green) / 12
=9/12
= 3/4
.75
the cost of a copy is ₹ 5 and 3 upin 4 and that of a book is ₹ 15 and 5 upon 6. which costs more and by how much?
Step-by-step explanation:
here ,
the total cost of copy is rs 5 and 3 upin 4 =5.75
the total cost of book is rs 15 and 5 upon 6 =12.5
so the cost of book is more then copy by 6.75(12.5-5.75)
What is 432,553,602 in word form.
Answer:
four hundred and thirty two million, five hundred and fifty three thousand, six hundred and two
Step-by-step explanation:
Answer:
Four hundred thirty-two million, five hundred fifty-three thousand, six hundred and two.
Step-by-step explanation:
Completa la demostración:si los ángulos adyacentes a una base de un trapecio son congruentes entonces el trapecio es isósceles.
Dado:ángulo ABE congruente con DCE,
Demostrar:AB paralelo a DC
Answer:
Ab paralelo DC
Step-by-step explanation:
Identify A, B and C when the following function is written in Standard Form:
3y - 5 = 0
A=
B =
C=
A cookie recipe calls for 4/3 cup of flour and makes 3 dozen cookies, Il Cassandra plans to make 18 dozen cookies, how many cups of does she need?
Answer:
8
Step-by-step explanation:
4/3 cup for 3 dozen.
how many cups for 18 dozen ?
what factor do I need to use to turn 3 into 18 ?
3×x = 18
x = 18/3 = 6
so, I need 6 units of flour (1 unit is 4/3 cup) to make 6 units of cookies (1 unit is 3 dozen).
therefore, we need
4/3 × 6 = 6×4/3 = 2×4 = 8 cups of flour.
Please Help!!
Find the equation (in terms of x) of the line through the points (-5,-4) and (4,1)
Step-by-step explanation:
we first find the gradient
when y1=-4, x1=-5 and y2=1, x2=4
gradient={(y2-y1)÷(x2-x1)}
gradient={1-(-4)}÷{4-(-5)}
gradient=(1+4)÷(4+5)
gradient=5÷9 OR 0.5555
To find the equation interm of x
we substitute for the gradient in the formula
y-y1=gradient (x-x1)
y-(-4)=(5÷9)(x-×-5)
y+4=(5÷9)(x+5)
y+4=(5x+25)÷9 Cross multiply ✖️
9(y+4)=(5x+25)(1)
9y+36=5x+25 collect like terms
9y=5x+25-36
9y=5x-11 divide both sides by 9
y=(5x-11)÷9.......ans
If your destination is 60 miles away, how many mph do you have to travel, in order to get there in 15 minutes
Answer:
4 miles per hour
Step-by-step explanation:
Christine made $20,000 in taxable income last year. Suppose the income tax rate is 15% for the first $8000 plus 19% for the amount over $8000. How much must Christine pay in income tax for last year?
Answer:
$3480
Step-by-step explanation:
We know that the tax rate for the first $8000 is 15% and after $8000 the tax is 19%.
This means the total amount of money that Christine have to pay is equal to $8000 × 15% + ($20000 (the total) - $8000 (the amount that she already paid for the first $8000)) × 19%
This is equal to $1200 + $12000 × 19%
= $1200 + $2280
= $3480
Therefore, Christine must pay $3480 in income tax.