Answer:
0.34
Step-by-step explanation:
I just used a calculator
AD=6y+40
BC=9y+10
AB= 0.5y+50
Answer:
DC = 55
Step-by-step explanation:
Since this is a parallelogram, opposite sides are congruent. WE need to find the value of y from AD = BC
AD = BC
6y+40 = 9y+10
Subtract 6y from each side
6y-6y+40 = 9y-6y+10
40 = 3y+10
Subtract 10 from each side
40-10 = 3y+10-10
30 = 3y
Divide each side by 3y
30/3 = 3y/3
10 =y
Since opposite sides are congruent
DC = AB
DC = .5y + 50
= .5 (10) +50
=5 + 50
= 55
DC =55
98 POINTS HELP PLEASE
f(x) = 2/3x − 8
The function in the graph is g(x). Which has the greatest value?
A.f(6)
B.g(2)
C.f(0)
Dg(-4)
Answer:
[tex]\displaystyle B.g(2)[/tex]
Step-by-step explanation:
we are given f(x) and the graph of g(x)
to figure out which function has the greatest value we need to figure out g(x) function first
the given graph is a parabola so g(x) has to be quadratic function
both vertex and y-intercept of the function is (0,-1)
remember,[tex]\sf \displaystyle Q_{\text{vertex}}=g(x)=a(x-h)^2+k[/tex]
vertex:(h,k)
we got from the graph (h,k)=(0,-1)
substitute the value of h and k to the vertex form:
[tex]\displaystyle g(x)=a(x-0)^2+( - 1)[/tex]
simplify:
[tex]\displaystyle g(x)=ax^2- 1[/tex]
now we need to know figure out a
to do so take (-4,-5) coordinate pair which means if x=-4 then g(x)=-5
it is helpful to figure out a
substitute the value -4 for x and -5 for g(x):
[tex]\displaystyle - 5=a( - 4)^2- 1[/tex]
simplify square:
[tex]\displaystyle - 5=16a- 1[/tex]
add 1 to both sides:
[tex]\displaystyle - 4=16a[/tex]
divide both sides by 16:
[tex]\displaystyle a = - \frac{1}{4} [/tex]
our quadratic function is
[tex]\displaystyle g(x)= - \frac{1}{4} x^2- 1[/tex]
for f(x) and g(x) substitute the values 6,0 and 2,-4 to determine which function has the greatest value
let's work with f(x)
when x is 6 then f(x)
[tex] \displaystyle \: f(6) = \frac{2}{3} \times 6 - 8[/tex]
simplify multiplication:
[tex] \displaystyle \: f(6) = 2\times 2- 8[/tex]
simplify:
[tex] \displaystyle \: f(6) = 4- 8[/tex]
simplify substraction:
[tex] \displaystyle \: f(6) = - 4[/tex]
when x is 0 then f(x)
[tex] \displaystyle \: f(0) = \frac{2}{3} \times 0 - 8[/tex]
simplify multiplication:
[tex] \displaystyle \: f(0) = - 8[/tex]
let's work with g(x) now
when x is 2 then g(x)
[tex]\displaystyle g(2)= - \frac{1}{4} \times 2^2- 1[/tex]
simplify square:
[tex]\displaystyle g(2)= - \frac{1}{4} \times 4- 1[/tex]
simplify:
[tex]\displaystyle g(2)= - 1- 1[/tex]
simplify substraction:
[tex]\displaystyle g(2)= -2[/tex]
when x is -4 then g(x)
[tex]\displaystyle g( - 4)= - \frac{1}{4} (- 4)^2- 1[/tex]
simplify square:
[tex]\displaystyle g( - 4)= - \frac{1}{4} \times 16- 1[/tex]
simplify;
[tex]\displaystyle g( - 4)= - 1 \times 4- 1[/tex]
simplify multiplication:
[tex]\displaystyle g( - 4)= - 4- 1[/tex]
simplify subtraction:
[tex]\displaystyle g( - 4)= - 5[/tex]
so
[tex] \begin{array}{c c c} g(2) > f( 6) > g( - 4) > f(0)\\ - 2 > - 4 > - 5> - 8 \end{array}[/tex]
hence,
our answer choice is [tex]\displaystyle B.g(2)[/tex]
To determine which function has the greatest value, value of f(x) was calculated at given points. Without knowing the form of g(x), we can't calculate values g(2) and g(-4). Comparing calculated values of f(6) and f(0), f(6) has the greater value.
Explanation:In order to answer this question, you should first calculate the value of the function f(x) at the given points. The function f(x) is given as f(x) = 2/3x − 8.
For f(6), substitute x = 6 into your function: f(6) = 2/3 * 6 - 8 = 4. For f(0), substitute x = 0: f(0) = 2/3 * 0 - 8 = -8.
Since we don't know the explicit form of function g(x), we can't calculate g(2) and g(-4). They could be any value depending on the form and graph of g(x), which is not provided. Therefore, we can only compare f(6) and f(0). Between these two, f(6) has the greater value.
Learn more about Comparing Function Values here:https://brainly.com/question/32347445
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Determine the first four terms of the sequence in which the nth term is...
Answer:
1/5, 1/6, 1/7, 1/8
Step-by-step explanation:
The formula for the sequence is (n+3)!/ (n+4)!
The first terms uses n=1
a1 = (1+3)!/ (1+4)! = 4!/5! = (4*3*2*1)/(5*4*3*2*1) = 1/5
The first terms uses n=2
a2 = (2+3)!/ (2+4)! = 5!/6! = (5*4*3*2*1)/(6*5*4*3*2*1) = 1/6
The first terms uses n=3
a3 = (3+3)!/ (3+4)! = 6!/7! = (6*5*4*3*2*1)/(7*6*5*4*3*2*1) = 1/7
The first terms uses n=4
a4 = (4+3)!/ (4+4)! = 7!/8! = (7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) = 1/8
Answer:
D. 1/5,1/6,1/7,1/8
nearest millimeter, a cell phone is 76mm long and 42 mm wide. What is the ratio of the width to the length? The ratio of the width to the length
Answer:
21:38
Step-by-step explanation:
The answer you get is 42:76, but if you simplify it, it's 21:38 by dividing the ratio by 2.
Simplify (in picture)
[tex]x^2+2x+1=x^2+x+x+1=x(x+1)+1(x+1)=(x+1)(x+1)\\----------------------\\2x+2=2(x+1)\\----------------------\\\\\dfrac{2x+2}{x^2+2x+1}=\dfrac{2(x+1)}{(x+1)(x+1)}\\\\\text{Canceled}\ (x+1)\\\\=\boxed{\dfrac{2}{x+1}}[/tex]
A baker made 60 muffins for a cafe. By noon, 45% of the muffins were sold. How many muffins were sold by noon?
Answer:
27 muffins.
Step-by-step explanation:
We have been given that a baker made 60 muffins for a cafe. By noon, 45% of the muffins were sold.
To find the number of muffins sold by noon let us find 45% of 60.
[tex]\text{The number of muffins sold by noon}=\frac{45}{100}\times 60[/tex]
[tex]\text{The number of muffins sold by noon}=0.45\times 60[/tex]
[tex]\text{The number of muffins sold by noon}=27[/tex]
Therefore, 27 muffins were sold by noon.
Pls help I'm bad at math v.v
Lines m and n are parallel.
Answer:
The measure of angle 1 is 55.
Step-by-step explanation:
The top angle= 75 because of the vertical angle theorem
The right angle= 50 because of the alternate exterior angle theorem
75+50=125
There are 180 degrees in a triangle so the angle has to equal 55
Jen buys sesame bagels and plain bagels. If the ratio of sesame to plain is 1:3 and Jen bought 2 dozen bagels, what percent of bagels are plain? How many bagels are plain? Suppose each plain bagel has 0.53 gram of salt, and each sesame bagel has 0.65 gram. Use a percent to compare the amount of salt in a plain bagel to that in a sesame bagel.
Answer:
The number of plain bagels are 18 and it is 75% of the total bagels .
The amount of salt in a plain bagel to that in a sesame bagel is 81.5% .
Step-by-step explanation:
Formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
As given
Jen buys sesame bagels and plain bagels. If the ratio of sesame to plain is 1:3 and Jen bought 2 dozen bagels .
As one dozens contains 12 items .
Thus
Total number of bagels bought by Jen = 2 × 12
= 24
Let us assume that the x be the scalar multiple of sesame bagels and plain bagels .
Number of sesame bagels = 1x
Number of plain bagels = 3x
Than the equation becomes
x + 3x = 24
4x = 24
[tex]x = \frac{24}{4}[/tex]
x = 6
Thus
Number of plain bagels = 3 × 6
= 18
Part value = 18
Total value = 24
Putting all the values in the formula
[tex]Percentage = \frac{18\times 100}{24}[/tex]
[tex]Percentage = \frac{1800}{24}[/tex]
Percentage = 75 %
Therefore the number of plain bagels are 18 and it is 75% of the total bagels .
As given
Suppose each plain bagel has 0.53 gram of salt, and each sesame bagel has 0.65 gram.
Part value = 0.53 grams
Total value = 0.65 grams
Putting all the values in the formula
[tex]Percentage = \frac{0.53\times 100}{0.65}[/tex]
[tex]Percentage = \frac{5300}{65}[/tex]
Percentage = 81.5 %
Therefore the amount of salt in a plain bagel to that in a sesame bagel is 81.5% .
The quantity best expressed as -3.2 is ___ .
The quantity best expressed as +5.1 is ___ .
blank one possible answers
3.2 feet above sea level
a withdrawal of $3.20
a profit of $3.20
blank two possible answers
a debt of $5.10
a withdrawal of $5.10
5.1 feet above sea level
18 points !!!
✿ The Quantity best expressed as -3.2 is a Withdrawal of $3.20
Because :
[tex]\heartsuit[/tex] The Value which is expressed above sea level should be Positive.
[tex]\heartsuit[/tex] Profit is always a Positive
[tex]\heartsuit[/tex] Withdrawal's are Negative
✿ The Quantity best expressed as +5.1 is 5.1 feet above sea level
Because :
[tex]\heartsuit[/tex] The Value which is expressed above sea level should be Positive.
[tex]\heartsuit[/tex] Debt and Withdrawals are always Negative
Answer:
first part : a withdrawal of 3.20
second part : 5.1 feet above sea level
Step-by-step explanation:
In parallelogram ABCD below, line AC is a diagonal, the measure of angle ABC is 40 degrees, and the measure of angle ACD is 57 degrees. What is the measure of angle CAD
Answer:
The measure of angle CAD is 83 degrees.
Step-by-step explanation:
Given information: ABCD is a parallelogram, AC is a diagonal, [tex]\angle ABC=40^{\circ}[/tex] and [tex]\angle ACD=57^{\circ}[/tex].
The opposite sides of parallelogram are congruent.
The diagonal AC divides the parallelogram in two congruent triangles.
In triangle ABC and ADC,
[tex]AB\cong CD[/tex] (Opposite sides of parallelogram)
[tex]\angle ABC\cong \angle ADC[/tex] (Opposite angles of parallelogram)
[tex]BC\cong DA[/tex] (Opposite sides of parallelogram)
By SAS postulate,
[tex]\triangle ABC\cong \triangle CDA[/tex]
Since we know that opposite angles of parallelogram are equal, therefore
[tex]\angle ABC\cong \angle ADC[/tex]
[tex]\angle ADC=40^{\circ}[/tex]
According to the angle sum property the sum of interior angles of a triangle is 180 degrees.
[tex]\angle CAD+\angle ACD+\angle ADC=180^{\circ}[/tex]
[tex]\angle CAD+57^{\circ}+40^{\circ}=180^{\circ}[/tex]
[tex]\angle CAD=83^{\circ}[/tex]
Therefore the measure of angle CAD is 83 degrees.
Cataloged 2/3 of new books in shipment. Is she has cataloged 52 books what is the number of books shipped in total
Answer:
78 books
Step-by-step explanation:
Use proportion: If 52 is 2/3 of the books then number of books shipped = 52 * the inverse of 2/3 which is 52 * 3/2:-
52 * 3/2
= 156/2
= 78 books
What is the volume of a sphere which a diameter of 12 inches? Use 3.14 for pi. Round your answer to the nearest hundredth
Answer:
V≈ 904.78in³
Step-by-step explanation:
V= 4/3 π r cubed
diameter= 12 cm
radius= 1/2 diameter= 6 cm
3.14= pi
V= 4/3 * 3.14 * 6 cubed
V= 4/3 * 3.14 * 216
V= 1.33 * 3.14 * 216
V= 902.06
Bryson buys a bag of 64 plastic miniature dinosaurs. Could he distribute them equally into six stroke containers and not have any left over?
Answer:
Yes he will not have any left over
Step-by-step explanation:
because 64 / 6 = 10.666666..
The opening balance of one of Jennies 30-day billing cycles for her credit card was $1220, and it remained that amount for the first 10 days of her billing cycle. She then made a purchase for $470, increasing her balance to $1690, where it remained for the next 10 days. Jennie then made a payment of $350, so her balance for the last 10 days of the cycle was $1340. The APR of Jennies credit card is 33%, QUESTION 1: What is her periodic interest rate? QUESTION 2: How much was Jennie charged in interest for the billing Cycle?
Answer:
1) 2.71%
2) $38.32
Step-by-step explanation:
Opening balance = $1220
Balance after 10 days (after expense) = $1690
Balance after 10 days(after payment) = $1340
APR = 33%
1) Periodic interest rate = APR × [tex]\frac{No. of days in a billing cycle}{365}[/tex]
= 33%× 30/365
= 2.71%
2) Interest charged for first 10 days = [tex]\frac{1220*2.71*\frac{10}{30} }{100}[/tex]
= $11.02
Interst charged for the next 10 days = [tex]\frac{1690*2.71*\frac{10}{30} }{100}[/tex]
= $15.2
Interest charged for the next 10 days = [tex]\frac{1340*2.71*\frac{10}{30} }{100}[/tex]
= $12.10
Total interest for 30 days = 11.02+15.2+12.10
= $38.32
Felicity the clown inflates two balloons in five minutes. Grumpy a clown ties five balloon animals in 12 minutes. They both work at a steady rate. If Felicity maintain this constant rate, how many balloons could she inflate in one hour ?
Answer:
24 balloons
Step-by-step explanation:
1 hour= 60 min
60 min/ 5 min= 12 min
12 min* 2 balloons= 24 balloons per hour
What about Grumpy?Don't pay attention to Grumpy, it was just to confuse you. We are talking about how fast Felicity can inflate balloons.Answer:
The correct answer is A
Sorry if this is late but hope it helps however finds it
There are 10 students in a class: 5 boys and 5 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a boy?
There are 10 students in a class: 5 boys and 5 girls then the probability that everyone in the group is a boy is 1/12.
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.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
It is given that the Total number of students = 10
Number of boys = 5
Number of girls= 5
The number of ways to choose 5 students from 10 is ₁₀C₅.
= 9! / 5! 5!
= 252
The number of ways to choose 5 students from 10 is ₁₀C₅.
The number of ways to choose 5 students from 7 girls is ₇C₅.
= 6! / 5! 2!
= 21
Then the probability that everyone in the group is a boy
P(E) = Number of favorable outcomes / total number of outcomes
= 21/252
= 1/12.
Thus, the probability that everyone in the group is a boy is 1/12.
Learn more about probability here;
brainly.com/question/11234923
Is the triangle with side lengths of 18cm, 24cm and 30 cm a right triangle ?
If a, b and c are the lengths of a right triangle and c is the longest side, then:
[tex]a^2+b^2=c^2[/tex]
We have a = 18cm, b = 24cm and c = 30cm. Substitute and check:
[tex]L_s=18^2+24^2=324+576=900\\\\R_s=30^2=900\\\\L_s=R_s[/tex]
Answer: It's the right triangle.which is the definition of a square?
A quadrilateral with four congruent sides and four congruent angles
A quadrilateral with four congruent sides
A quadrilateral with interior angles that sum to 360°
A quadrilateral with four right angles
Answer:
the first option
Step-by-step explanation:
Which equation is in point-slope form for the given point and slope?
point-slope form: y-y1 = m(x-x1)
given m, (x1, y1)
m = 5
x1 = 1
y1 = 9
y - 9 = 5(x - 1)
aka: choice C
Answer:
your answer is C or number three (3)
-9=5(x-1)
i hope this helps ya out
A leaky faucet is losing water and is filling a 8-gallon bucket every 25 hours.At this rate,how many gallons of water will the faucet leak in 13 hours?
Answer:
Proportion states that the two fractions or ratios are equal.
As per the given statement: A leaky faucet is losing water and is filling a 8-gallon bucket every 25 hours.
Let x represents the number of gallons of water that faucet leak in 13 hours.
then by definition of proportion;
[tex]\frac{8}{25} =\frac{x}{13}[/tex]
By cross multiply we get;
[tex]13 \times 8 = 25x[/tex]
Simplify:
[tex]104 = 25x[/tex]
Divide both sides by 25 we get;
[tex]x = \frac{104}{25}[/tex]
Simplify:
x = 4.16
Therefore, 4.16 number of gallons of water will the faucet leak in 13 hours
2x+6=10 is the same as 6+2x=10 this is an example of which algebraic property
Answer:
Commutative property of algebra.
Step-by-step explanation:
We have been given two expressions:
2x+6=10
And 6+2x=10
This is the commutative property of algebra
which is: a+b=c implies b+a=c
Here, a=2x ,b=6 and c=10
On Comparing the two equations with general form of commutative property we get the required result.
The stemplot below shows the heights (in inches) of students in a class.
5 | 0 1 1 3 6
6 | 2 9
7 | 1 1 3 5 7
Which of the following is a height of a student in the class?
A. 50 inches
B. 72 inches
C. 29 in ches
D. 57 inches
Answer:
Choice A) 50 inches
Step-by-step explanation:
The stem is the value on the left side of the vertical bar (5, 6, and 7 in that first column). The leaf is a single digit on the right side that pairs up with the stem to form the whole value. In the first row, the stem of 5 pairs up with the 0 to get 50. The next value is 51 because the stem 5 pairs up with the 1 after the 0. Then the value after that is 51 again. Repeated values are allowed.
The entire first row of values is: 50, 51, 51, 53, 56
The second row is: 62, 69
The third row is: 71, 71, 73, 75, 77
We see that only 50 is listed in the four answer choices and no other value.
Think about the function f(x) = 10 - x3. What is the input, or independent variable? f(x) x y What is the output, or dependent variable or quantity? x f(x) y What does the notation f(2) mean? multiply f by 2 the output (y-value) when x = 2 the value of x when the output is 2 Evaluate f(2) =
Answer:
x is the input, or independent variable and f(x) is the output, or dependent variable or quantity. f(2) represents the output (y-value) when x = 2. The value of f(2) is 2.
Step-by-step explanation:
If the values of a variable depends on the other variable, then it called dependent variable.
If the value of a variable does not depend on the other, then it is called independent variable.
If a function is f(x)=x, then x is an independent variable and f(x) is a dependent variable.
The given function is
[tex]f(x)=10-x^3[/tex]
Here, x is the input, or independent variable and f(x) is the output, or dependent variable or quantity.
The notation f(a) represents the output (y-value) when x = a. So, f(2) represents the output (y-value) when x = 2.
Substitute x=2 in the given function.
[tex]f(2)=10-(2)^3[/tex]
[tex]f(2)=10-8[/tex]
[tex]f(2)=2[/tex]
The value of f(2) is 2.
For a function y = f(x) we define x as the independent variable and y as the dependent variable. y = f(x) means that "y depends on x in a given way, defined by f(x)".
Here we know that:
f(x) = 10 - x^3
1) What is the input, or independent variable?
The independent variable is the one inside the function, in this case, is x.
2) What is the output, or dependent variable or quantity?
in this case, the output is f(x), the value of the whole function evaluated in x.
(note that we do not have y = f(x), so y can't be the output, as we can't invent a variable and add it there.)
3) What does f(2) mean?
This means that we need to replace all the "x's" in the function by 2, we get:
f(2) = 10 - 2^3 = 2
so f(2) is the output when x = 2.
If you want to learn more, you can read:
https://brainly.com/question/14725877
Look at the parallelogram ABCD shown below: The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:
Statement Reasons 1 AB is parallel to DC and AD is parallel to BC Definition of parallelogram 2
angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the _______________ are congruent 3
BD = BD Reflexive Property 4
triangles ADB and CBD are congruent If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate 5
AB = DC, AD = BC Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 2 in the chart?
alternate interior angles
corresponding angles
same-side interior angles
vertical angles
Answer:
The correct option is 1.
Step-by-step explanation:
Statement Reasons
1. AB is parallel to DC and Definition of parallelogram
AD is parallel to BC
2. angle 1 = angle 2, If two parallel lines are cut by a
angle 3 = angle 4 transversal then the alternate
interior angles are congruent
3. BD = BD Reflexive Property
4. [tex]\triangle ADB\cong \triangle CBD[/tex] ASA postulate
5. AB = DC, AD = BC (CPCTC)
If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate.
According to alternate interior angles theorem, two parallel lines are cut by a transversal then the alternate interior angles are congruent.
Therefore option 1 is correct.
Please answer this question! 15 points and brainliest!
Answer:
x=5
Step-by-step explanation:
5x=7x-10
First get the variables on one side, and numbers on the other
-2x=10
Therefore,
x=5
Write an expression for the sequence of operations described below. add q and 10, then subtract r from the result Do not simplify any part of the expression.
Answer:
q + 10 - r
Step-by-step explanation:
add q and 10 = q + 10
then subtract r from the result = q + 10 - r
Answer:
(q + 10) - r
Step-by-step explanation:
The given verbal expression is " add q and 10, then subtract r from the results."
Add q and 10 = q + 10
subtract r from the result = (q + 10) - r
So, the final expression is (q + 10) - r
SOMEONE PLEASE HELP EQUATION AND ANSWERS ARE ATTACHED IMAGES.
Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!
Answer:
sqrt(15)/2 = g
h = sqrt(5) /2
Step-by-step explanation:
We know that sin 30 = opposite / hypotenuse
sin 30 = h/ sqrt(5)
Multiply by sqrt(5) on each side
sqrt(5) sin 30 = h
sqrt(5) (1/2) = h
h = sqrt(5) /2
cos 30 = adjacent/ hypotenuse
cos 30 = g / sqrt(5)
Multiply each side by sqrt(5)
sqrt(5) cos (30 ) = g
sqrt(5) (sqrt(3)/2) = g
sqrt(15)/2 = g
The longest side of a triangle is six more inches than the shortest side. The third side is twice the length of the shortest side of the perimeter of the triangle is 26 units, what's all three lengths of the triangle?
Answer:
a=5, b=10, c=11
Step-by-step explanation:
a= shortest side
b= "third" side
c= longest side
Equations:
c=6+a
b=2a
a+b+c=26
so we can see there is a in all of the equations, so we can plug all of them into the equation for the perimeter
a+(2a)+(6+a)=26-->4a=20-->a=5
with a, we can plug that into the equations to get b and c
c=6+a-->6+(5)-->c=11
b=2a-->b=2(5)--> b=10
The number of tickets sold on Friday at a movie theater was 2,000 more than the number of tickets sold on Tuesday. 1,250 tickets were sold on Tuesday. Which integer represents the number of tickets sold on Friday? A) -2,000 B) -1,250 C) 2,000 D) 3,250
Answer:
The answer is D)
Step-by-step explanation: