Final answer:
The answer is 10.65.
Step-by-step explanation:
Step 1
Substitute a=1,5 into expression
7.1a, a=1.5
7.1 x 1.5
Step 2
Multiply the numbers
7.1 x 1.5 = 10.65
Answer:
10.65
Step-by-step explanation:
Plug a into the expression
[tex]7.1\times1.5=10.65[/tex]
Hope I helped you in some way!
1.) A train travels due north at a speed of 100mph and a wind blows due west at a speed of 10mph.What is the direction of the smoke?
Answer:
North West
Step-by-step explanation:
The middle of North and West is North West and if theoretically the smoke is going in both directions it has to be genuinely staying in the North West if that makes sense.
Match each unit rate on the left with an equivalent phrase on the right. Some
answer options on the right will not be used.
38 apples
1 basket
45 apples
1 basket
42 apples
1 basket
8 apples distributed evenly among 304
baskets
7 apples distributed evenly among 294
baskets
304 apples distributed evenly among 8
baskets
294 apples distributed evenly among 7
baskets
405 apples distributed evenly among 9
baskets
Answer:
C, E, D
Step-by-step explanation:
A "unit rate" is a rate that has 1 unit in the denominator. Here, the rates are all given in terms of the number of apples in 1 basket. (The 1 basket is the 1 unit.)
ApplicationWhen rates are given with some number of units other than 1 in the denominator, divide the numerator by the denominator to find the unit rate.
Here, the unit rates are all more than one apple in each basket, so the number of apples must be a multiple of the number of baskets. Phrases "A" and "B" both have more baskets than apples, so will not be used.
C: (304 apples)/(8 baskets) = (304/8) apples/basket = 38 apples/basket
D: (294 apples)/(7 baskets) = (294/7) apples/basket = 42 apples/basket
E: (405 apples)/(9 baskets) = (405/9) apples/basket = 45 apples/basket
Matching(38 apples)/(1 basket) = C: 38 apples/basket
(45 apples)/(1 basket) = E: 45 apples/basket
(42 apples)/(1 basket) = D: 42 apples/basket
Brad has the option of using three types of tables in his bagel shop: square tables with a side length of 39 inches rectangular tables 23 inches wide and 71 inches long round (circular) tables with a diameter of 48 inches. Which type of table has the largest area?
The type of table that has the largest area is circular table
How to find area of figures?area of a square = l²
where
l = lengthTherefore,
area of the square table = 39² = 1521 inches²
area of a rectangle = lw
where
l = lengthw = widthTherefore,
area of the rectangular table = 23 × 71 = 1633 inches²
area of a circle = πr²
where
r = radiusTherefore,
area of a circular table = π × (48 / 2)² = 576π = 1808.64 inches²
Therefore, the table that has the largest area is the circular table.
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Small group activities, snack time, and transitions between classroom activities can provide quick opportunities for children to practice the quick recognition of small quantities. This skill is known as:
A. Subitizing
B. Memorization
C. One- to - one correspondence
Answer:
A. Subitizing
Step-by-step explanation:
The skill to recognize small numbers of objects without counting is known as subitizing.
__
Additional comment
Some people are able to quickly recognize numbers as large as 8. More commonly in humans, the limit is about 6.
Most animals (and some insects) have an inborn ability to recognize and count up to 3. After that, the group size gets generalized to "many." Predators that hunt in groups take advantage of this limitation in their prey.
Please HELP!!!!!
The domain (input values) of the cosine function is:
A. angle measures less than 2π radians.
B. angle measures between 0 and π radians.
C. angle measures less than 90°.
D. all negative and positive angle measures.
SUBMIT
Answer: D. all negative and positive angle measures.
Please help me with this 2 Calc questions
20. A rational function [tex]\frac{p(x)}{q(x)}[/tex] (where [tex]p,q[/tex] are polynomials in [tex]x[/tex]) has a removable discontinuity at [tex]x=a[/tex] if for some positive integer [tex]n[/tex] we can factorize
[tex]p(x) = (x-a)^n p^*(x)[/tex]
[tex]q(x) = (x-a)^n q^*(x)[/tex]
[tex]\implies \dfrac{p(x)}{q(x)} = \dfrac{(x-a)^n p^*(x)}{(x-a)^n q^*(x)} = \dfrac{p^*(x)}{q^*(x)}[/tex]
That is, we "remove" the discontinuity at [tex]x=a[/tex] because while [tex]x\neq a[/tex], we have [tex]\frac{x-a}{x-a}=1[/tex]. The discontinuity is still there, since [tex]\frac{p(a)}{q(a)}[/tex] is undefined, but in the limit sense we can essentially ignore the factors of [tex]x-a[/tex]. The graph of [tex]\frac{p(x)}{q(x)}[/tex] will have all the features of [tex]\frac{p^*(x)}{q^*(x)}[/tex] aside from a hole at [tex]x=a[/tex].
In this case, we have
[tex]f(x) = \dfrac{x+4}{x^2-x-20} = \dfrac{x+4}{(x+4)(x-5)}[/tex]
and when [tex]x\neq-4[/tex], we can cancel the factor of [tex]x+4[/tex] so that
[tex]f(x) = \begin{cases}\dfrac1{x-5} & \text{if }x \neq -4 \\\\ \text{DNE} & \text{if }x = -4\end{cases}[/tex]
("DNE" = "does not exist", i.e. is undefined. For some reason "undefined" wouldn't render...)
This means [tex]x=-4[/tex] is a removable discontinuity.
We cannot do the same with the factor of [tex]x-5[/tex], so in contrast [tex]x=5[/tex] is a non-removable discontinuity.
21. The pieces of [tex]f(x)[/tex] defined on [tex]x<2[/tex] and [tex]x>2[/tex] are themselves continuous since they are polynomials. Then the continuity of [tex]f(x)[/tex] over the entire real line depends on the point where the pieces meet.
Here we have
[tex]f(x) = \begin{cases}x+3 & \text{if }x\le2 \\ cx+6 & \text{if }x>2\end{cases}[/tex]
so the pieces meet at [tex]x=2[/tex]. Continuity at this point requires that the both limits from either side of [tex]x=2[/tex] be the same. This means
[tex]\displaystyle \lim_{x\to2^-} f(x) = \lim_{x\to2} (x+3) = 2+3 = 5[/tex]
[tex]\displaystyle \lim_{x\to2^+} f(x) = \lim_{x\to2} (cx+6) = 2c + 6[/tex]
Solve for [tex]c[/tex].
[tex]2c + 6 = 5 \implies 2c = -1 \implies \boxed{c = -\dfrac12}[/tex]
If f(x) = 2x² + 3 and g(x)=x2-7, find (f- g)(x).
Step-by-step explanation:
arithmetic operations with functions just means to do these operations with the function expressions. and the result is the resulting function.
so,
(f - g)(x) = f(x) - g(x) = (2x² + 3) - (x² - 7) =
= 2x² + 3 - x² + 7 = x² + 10
What is the definition of yield to maturity?
Review Later
The return the investor gets from the income component of a bond as a percent of it's current price
The overall return the investor makes as a percent of a bond's par value
The overall return the investor makes if they purchase a bond today and hold to maturity
The return the investor gets from the income component of a bond as a percent of it's par value
The yield to maturity best defined by the option c. The overall return the investor makes if they purchase a bond today and hold to maturity.
It is the total return of rate that will have been incomed by a bond when it makes all liability payments and repays the principal amount.
Since, as per the definition of yield to maturity, investor would get the original price of bond plus and the rate of interest that finalized (at the time of bond purchase) when the maturity period will over.
Thus, the overall return the investor makes if they purchase a bond today and hold to maturity. Best describes yield to maturity.
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consider this equation
(thanks for the help!)
Answer:
it's a sin
chsheuheheuehhehrhrhrhr
Amie, Bruce, Corey, Dwayne, Eric, Frank, Georgia, Helen and Isis, members of an architectural firm, plan to meet in the company conference room to discuss the project coordinator's plans for their next project. Denote these nine people by
A, B, C, D, E, F, G, H, and 1. Find the total number of ways that members of this group can gather.
There are 362880 ways that members of this group can gather.
(Simplify your answer.)
CITED
There are 362,880 ways that members of this group can gather.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order.
Amie, Bruce, Corey, Dwayne, Eric, Frank, Georgia, Helen and Isis, members of an architectural firm, plan to meet in the company conference room to discuss the project coordinator's plans for their next project.
Denote these nine people by A, B, C, D, E, F, G, H, and I.
Then the total number of ways that members of this group can gather will be
⇒ 9!
⇒ 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
⇒ 362,880
There are 362,880 ways that members of this group can gather.
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The Tropical Bay Resort complex is building a new irrigation system to ensure proper watering of their luscious landscape. Assuming $10 per linear foot, what is the cost for the minimum spanning tree
The minimum cost for this spanning tree has been calculated as $1100.
How to solve for the minimum spanning treeThis is solves as
AC + CD + DF + FE + EB
This would be
15 + 25+ 23 + 22 + 25
= 110
The minimum cost would be gotten by multiplying this valus with the amount per foot
= 10 * 110
= $1100
Hence the minimum cost of the spanning tree is $1100
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what are the numbers between 8 and 9
Answer:
The numbers between 8 and 8
9 is 8.5
8, 8.5, 9
Renting a car costs $40 per day or $750 per month. renting daily is cheaper for a few days, but after how many days is it cheaper to rent on a monthly basis?
Renting a car on a monthly basis after 19 days makes it cheaper than renting on a daily basis.
How to solve such questions?
The key concept for solving such questions is by calculating the number of days on which both renting a car on a monthly basis equals renting a car on daily basis. So on the very next day as renting a car on daily basis still adds up the expense it will become costlier and renting a car on monthly basis makes it cheaper.
Given:-
Cost of renting car on a daily basis = $40
Cost of renting car on a monthly basis = $750
Let number of days on which both renting a car on a monthly basis equals renting a car on daily basis be x.
Therefore
40 × x = 750
x = [tex]\frac{750}{40}[/tex]
x = 18.75 days
From 19th day onwards cost of renting on a daily basis will exceed cost of renting car on a monthly basis.
Thus , Renting a car on a monthly basis after 19 days makes it cheaper than renting on a daily basis.
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Formulate the quadratic function that contains the points (-2,1), (0,1) and (1,4).
Answer:
Step-by-step explanation:
problem 18. Find x and y
Answer:
x = 39°
y = 90°
Step-by-step explanation:
Answer:
x = 39°
y = 92°
Step-by-step explanation:
x = 39° because alternate (or z) angles are equal.
x = 92° because all angles in a triangle add up to 180°.
so
49+39=88
angles on a straight line are equal to 180°
180°-88° = 92
Hope this helps!
Point X is on line segment WY. Given WY=16 and WX=10, determine the length XY
The length of XY on the line segment WY is 6 units.
How to find line segment?The full line segment is WY.
Point X is on the line segment WY.
Therefore,
WY = 16 units
WX = 10 units
XY = WY - WX
Hence,
XY = 16 - 10 = 6 units.
Therefore, the length of XY on the line segment WY is 6 units.
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Which the most accurate statement about progress monitoring?
a. Progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in.
b. Incorporating children's individual differences into lesson planning is not necessary since the curriculum includes all the skills children need to learn in the order they need to learn them.
c. Progress monitoring is about administering formal assessments at the beginning and end of the year.
The most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A
What is progress monitoring?
Progress monitoring can be defined as a standard process of evaluating or checking progress toward a performance target on the basis of level of improvement from frequent assessment of a skill.
Thus, the most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A
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Gap analysis is a process that could help accomplish which of the following tasks?
Answer:
a gap analysis is a method of assessing the performance of a business unit to determine whether business requirements order objectives are being met and if not what steps should be taken me them a gap analyse may also be referred to as need analysis need assessment or need gap analysis
PLEASE HELP ASAP
20 POINTS
Answer:
linear
Step-by-step explanation:
From the table, we can deduct that y = 1.3x, which means it is a linear function. A linear function, when graphed, is a straight line.
Complete the equation of this circle:
(x − [?])²+(y - [ ])²=[ ]
Answer:
(x-{-2})^2+(y-{4})^2={36}
Equation:
x^2+y^2=r^2
r=radius
Blank following x/y is flipped center(of circle) coordinate for x/y
what is the slope of the line that contains the points (-1, 8) and (5, -4)
Answer:
-2
Step-by-step explanation:
To find slope, we need to use the formula
[tex]\frac{y2-y1}{x2-x1}[/tex]
Substituting your coordinates (-1,8) and (5,-4) , we get -2 as a result.
Hope this helped!!
Answer:
slope = - 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (5, - 4 )
m = [tex]\frac{-4-8}{5-(-1)}[/tex] = [tex]\frac{-12}{5+1}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
Select the correct difference.
-3z5 - (-7z5)
04 Zz
042²
O-10 z
042
The correct difference between the expressions is 4z⁵. The correct option is the first option 4z⁵
Simplifying an expressionFrom the question, we are to simplify the given expression by subtracting the expressions
The given expression is
-3z⁵ - (-7z⁵)
Clear the parenthesis by multiplying
-3z⁵ +7z⁵
Simplifying
4z⁵
The simplified form of the expression is 4z⁵
Hence, the correct difference between the expressions is 4z⁵. The correct option is the first option 4z⁵
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Anja represents the inequality startfraction 4 minus g over 8 endfraction less-than-or-equal-to negative 15 with the phrase "the quotient of the difference of 4 and a number and 8 is at least –15." which describes anja’s error? anja phrase should have stated "the difference of a number and 4" not "the difference of 4 and a number". anja phrase should have stated "the quotient of a number and 8" not "the quotient of the difference of 4 and a number and 8". anja’s phrase should have ended with "less than –15", not "at least –15". anja’s phrase should have ended with "at most –15", not "at least –15".
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Given statement:
Anja represents the inequality (4-g)/8 <-15
With the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Let the number be g.
“the quotient of the difference of 4 and a number and 8" translated to (4-g/8)
"at least" means : <
“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to (4-g)/8 <-15
Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.
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If the number of eight dollar child tickets is 17 less than three times the number of $12 adult tickets and the theater took in $584 how many of each tickets were sold
Fill in the missing values in the X² column of the following table, and then calculate ΣX².
Parent
Children in Family of Origin (X)
Number of Planned Children (Y)
X²
A 3 3 9
B 3 1 9
C 3 2
D 2 2 4
E 4 3
ΣX² =
The missing values of x² column of the table are; 9 and 16 respectively and the value of ΣX² is; 47.
What are the missing values of x² in the table?If follows from the table that the three columns of the table record values x, y and x².
On this note, if fill that the first missing value in which case, x = 3 and y = 2 is; 3² = 9. And in the second case where, x = 4 and y = 3 is; 4² = 16.
Hence, the value of ΣX² = 9 + 9 +9 + 4 +16 = 47.
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find x and y
please help !
x = 39 degrees
(alternate angles)
Angles in triangle = 180
49 + 39 = 88
So, the missing angle inside the triangle is 92
Angles on straight line = 180
180 - 92 = 88
y = 88 degrees
Hope this helps!
PLS HELP ITS A EMERGENCY!!!!!
Answer:
16 I can't find the lengths but Angle A = Angle B = Angle C = 60 degrees.
17 X = 55 degrees, Y = 60 degrees, Z = 65 degrees.
18 Angle B and Angle C
19 BC and AC
20 They are all 60 degrees and are all equal to each other.
Hope I helped!
If the cost of 70kg of rice is Rs 5600, find the cost of 1 quintal of rice.
Answer:
solution
Given,
70 kg rice =Rs.5600
1 kg= Rs5600÷70
=Rs.80
Rs.80 is for per kg.
For 1 quintal
1 quintal=100 kg
Then,
100×80
=Rs.8000.
Volume of a cone 27cm 13 cm
The volume of the cone is 4775.94 cu.cm
What is a cone ?A cone is a three dimensional shape which has a circular base and then tapers down to a point called as Vertex.
It is given that the cone has
Height = 27 cm
Radius = 13 cm
The volume of the cone is given by
V = (1/3)πr²h
Volume = (1/3) * 3.14 * (13)² * 27
Volume = 4775.94 cu.cm
Therefore the volume of the cone is 4775.94 cu.cm
The complete question is
Find the volume of the cone of height = 27 cm and radius is 27 cm.
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The present age of Madison’s mother is 3 times that of Madison. After 614 years, the sum of their age will be 5334 years. Find their present ages. (Estimate the solution to the nearest whole number).
Answer:
ABCDE is a regular pentagon with congruent diagonals BE and BD. a) Justify AABE = ACBD with a test for congruent triangles. b) Name a pair of congruent quadrilaterals.
The present age of Madison is 1027 years and that of his mother is 3080 years (rounded off to nearest whole numbers), solved using the linear equation in one variable: (x + 614) + (3x + 614) = 5334, where x represents the present age of Madison.
What are linear equations in one variable?Linear equations in one variable are the linear relationship between two algebraic expressions not involving more than one variable throughout the equation.
How to solve the question?In the question, we are informed that the present age of Maison's mother is 3 times that of Madison. After 614 years, the sum of their age will be 5334 years.
We are asked to determine their present ages.
We assume the present age of Madison to be x years.
Therefore, the present age of Madison's mother = 3x years {3 times that of Madison}.
Now, after 614 years, both of their ages will increase by 614 years.
Therefore, age of Madison after 614 years = x + 614 {Present + 614}.
Age of Madison's mother = 3x + 614 {Present + 614}.
We are given that after 614 years, the sum of their ages will be 5334.
This can be represented by the linear equation in one variable:
(x + 614) + (3x + 614) = 5334
This linear equation in one variable can be simplified and solved in the following way:
or, 4x + 1228 = 5334 {Simplifying},
or, 4x + 1228 - 1228 = 5334 - 1228 {Subtracting 1228 from both sides}
or, 4x = 4106 {Simplifying}
or, 4x/4 = 4106/4 {Dividing both sides by 4},
or, x = 1026.5 {Simplifying}.
Therefore, the present age of Madison = x = 1026.5 = 1027 years (nearest whole number).
The present age of Madison's mother = 3x = 3*1026.5 = 3079.5 = 3080 years (nearest whole number).
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