Answer:
Option D is the answer.
Step-by-step explanation:
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C.
So inequality which models this situation will be -40°C < T < 140°C
Now we have to show this inequality in Fahrenheit temperature with the help of [tex]C=\frac{5}{9}(F-32)[/tex]
So the compound inequality in Fahrenheit temperature will be
[tex]-40<\frac{5}{9}(F-32)<140[/tex]
Answer: FLVS ALGEBRA 1
The answer would be D
Step-by-step explanation:
The label says that the cars antifreeze is -40°C and 140°C.
so the inequality which models this situation will be -40°C < T < 140°C
Now you got to show this inequality in Fahrenheit temperature.
So the compound inequality in Fahrenheit temperature will be Option D
If angle EAC is congruent to angle ECA, name the congruent segments.
A. AE, EC
B. EC, CA
C. AE, AC
D. AE, EC, AC
Answer:
A. AE, EC
Step-by-step explanation:
Because you know that the bottom two angles are congruent, you can conclude that this is an isosceles triangle. This means that the sides are congruent.
The graph of y=-0.2x² is ? the graph of y=x².
There are options to answer this question.
Choose one of the best answers.
A. Narrower than and opens in the same direction as
B. Wider than and opens in the same direction as.
C. Narrower than and opens in the opposite direction of
D. Wider than and opens in the opposite direction of
Could you explain your answer?
If your answer is wrong and it's going mark your answer report and it's called improper answer.
Please don't plagiarism your answer from other websites, if you copy and paste your answers from other sites and it's going to be mark your answer report.
No need to spam answers, if you spam your answers and it's going be mark your answer report.
Thank you!
-Charlie
Answer:
D
Step-by-step explanation:
y = -0.2 x²
This has a negative sign, as opposed to y = x², so it will point in the opposite direction.
The leading coefficient (0.2) is less than 1. This means the parabola is shrunk vertically, or stretched horizontally. So the parabola is wider than y = x².
Final answer:
The graph of y = -0.2x² is wider than and opens in the opposite direction of the graph of y = x² due to the negative and smaller in absolute value coefficient.
Explanation:
The comparison of the graphs of y = -0.2x² and y = x² is affected by the coefficients of the x² term. In the case of y = x², the coefficient is positive (1), implying the graph is a parabola that opens upwards. On the other hand, the negative coefficient (-0.2) in y = -0.2x² indicates the graph is also a parabola but opens downwards.
Furthermore, the absolute value of the coefficient affects the width of the parabola. A coefficient smaller in absolute value than 1, such as -0.2, makes the parabola wider than the parabola of y = x², which is the standard case. Therefore, the graph of y = -0.2x² is wider than and opens in the opposite direction of the graph of y = x².
Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that pays 2.4% annual interest and the rest in a stock fund that pays 7.2% annual interest. How much should they put into each account so that they earn 6% interest per year
Answer:
They should put $6750 in the bank account and $20,250 in the stock fund.
Step-by-step explanation:
Consider the provided information that Avery and Caden have saved $27000.
Let x is the money deposit in the bank and y is the money deposit in stock fund.
Therefore,
x + y = 27000
x = 27000 - y
The bank account will pay 2.4% annual interest.
[tex]\frac{2.4}{100}x+x=1.024x[/tex]
Stock fund pays 7.2% annual interest.
[tex]\frac{7.2}{100}y+y=1.072y[/tex]
Therefore,
1.024 x + 1.072 y = 1.06 × 27000
Substitute the x = 27000 - y in above equation.
1.024 (27000 − y) + 1.072 y = 1.06 × 27000
27648 − 1.024 y + 1.072 y = 28620
0.048 y = 28620-27648
0.048 y = 972
y = 20250
Now, substitute the y = 20250 in x = 27000 - y.
x = 27000 − 20250
x = 6750
Hence, they should put $6750 in the bank account and $20,250 in the stock fund.
A store is having a 20% off sale. If the reduced price of an item is $114.40 what was the original price?
Answer:
143
Step-by-step explanation:
Let x = original price
20% of the original price is .2x
We get 20 % off so we subtract it from the original price
x- .2 x
That is equal to 114.40
x-.2x = 114.40
Simplify
.8x = 114.40
Divide each side by .8
.8x/.8 = 114.40/.8
x = 143
The original price is 143
Answer:
143
Step-by-step explanation:
i got it right
NEED HELP WITH A MATH QUESTION
Answer:
Step-by-step explanation:
The total number of orders for large is 27
the probability of ordering something hot is 22/27=0.8148
to convert to percentage, multiply by 100: 0.8148*100=81.48%. rounded = 81%
There are 27 people total who are buying large drinks. 22 of those large drinks are hot drinks.
To figure out what percentage 22 is of 27, divide 22 by 27.
22/27= .814... or 81% or 80%.
81% of large drinks bought are hot.
Hope this helps!
Parallelogram ABCD is a rectangle
A (4,3)
B(-2,1)
D(5,0)
6 8
1
C(-1,-2)
What are the slopes of the sides that make this quadrilateral a rectangle?
-2 and 12
-12 and 2
-13 and 3
-3 and 13
Answer:
I think it's -13 and 3.i hope this answer helps
Select the values for p, q, and r that will make the following equation true.
px2 + qx + r = (3x + 1)(x - 5)
A. p = 3
B. p = 4
C. q = -16
D. 9 = -14
E. r = -5
F. r = -4
Answer:
P= 3
Q= -14
R= -5
Step-by-step explanation:
Just solve the equation on the right side, you'll get:
=3x^2 -15x +x -5
=3x^2 -14x -5
Now compare it to the equation on the left side,
The coefficient of x^2 on the left is "p", on the right that we just solved is 3.
Same for "q" which is the coefficient on the left, on the right it's -14.
And for "r" it's -5 from the equation on the right.
Expanding the right side of the equation (3x + 1)(x - 5), we get 3x^2 - 14x - 5. Matching coefficients, we find that p = 3, q = -14, and r = -5.
Explanation:To solve for the values of p, q, and r that will make the equation px2 + qx + r = (3x + 1)(x - 5) true, we need to expand the right side and then compare coefficients. Expanding the right side, we have:
3x2 - 15x + x - 5
This simplifies to:
3x2 - 14x - 5
Now, we match the coefficients from the expanded form to the left side of the equation:
p must match the coefficient of x2, which is 3.
q must match the coefficient of x, which is -14.
r must match the constant term, which is -5.
Therefore, the correct values are:
A. p = 3
D. q = -14
E. r = -5
A triangle has two sides of lengths 5 and 13. What value could the length of the
third side be? Check all that apply.
A. 8
B. 5
D.2
-
E
19
-
F. 24
Answer:
A. 8
Step-by-step explanation:
The length of the remaining side will be between the sum and difference of the given sides:
5 + 13 = 18 . . . . upper limit of 3rd side length
13 - 5 = 8 . . . . . lower limit of 3rd side length
The only answer choice in this range is 8.
_____
Comment on question and answers
Please note that this would not be an allowed answer for some triangle inequality questions. Some authors insist that the sum of the two shortest sides be greater than the longest side, so the triangle has non-zero area. Other authors allow the sum to be greater than or equal to the longest side. The only viable answer choice here is one that makes use of the "or equal to" condition. The 5-8-13 triangle will look like a line segment of length 13. It will have no area.
Answer:
THE CORRECT ANSWER IS 10, PLEASE DO NOT CHOOSE 8, IT WAS WRONG FOR ME SO THE CORRECT ANSWER IS 10
Step-by-step explanation:
Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches , which best describes the values of x and y
Answer:
X would be the unit of measure (weight) and Y would be the ammount. In a equation that would be, 2x = y.
Answer:
The values of both x and y will be greater than or equal to zero.
Step-by-step explanation:
We are given that
Cost of 1 pound of peaches=$2
If x represents the number of pounds of peaches bought.
Total cost of the peaches represented by y.
We have to find the the values of x and y which describes the best.
To find the total cost of peaches we will multiply the cost of one pound with total number of pounds of peaches.
If cost of 1 pound of peaches=$2
Cost of x pounds of peaches=[tex]2\times x=2x[/tex]
Therefore, the total cost of x pounds of peaches, [tex]y=2x[/tex]
Weight of a thing is always greater than 0 or equal to .
The total cost of a thing is always greater than or equal to zero.
Therefore,the values of both x and y will be greater than or equal to zero.
Suppose you increase your walking speed from 6 m/s to 12 m/s in a period of 1 s. What is your acceleration ?
a = acceleration = dv/dt ~ delta v/ delta t.
a = ( 12 m/s - 6 m/s ) / ( 1 s ) = 6 m/s^2
Done.
Please answer this multiple choice question correctly for 30 points and brainliest!!
Answer:
The answer is C.
Step-By-Step Explanation:
Once you combine the like terms of 5x^2-8x-7 and 2x^2-3x-7 you get 7^2-11x-5. Then you need to subtract x^2-9x-4 from 7^2-11-5x. Then you will get the answer which is C.
Answer:
C. 6x² -2x -1
Step-by-step explanation:
You want the sum of ...
(5x² -8x +2) + (2x² -3x -7) - (x² -9x -4)
Eliminating parentheses gives ...
5x² -8x +2 +2x² -3x -7 -x² +9x +4
Grouping like terms, we have ...
(5x² +2x² -x²) + (-8x -3x +9x) + (2 -7 +4)
Then combining like terms gives ...
6x² -2x -1 . . . . matches choice C
The length of a rectangle is 5 cm less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?
Plz help ASAP!! help a girl out
width = w
length = 2w - 5
Perimeter = 26
The formula for perimeter is:
P = l + l + w + w
Plug in corresponding values into this equation...
26 = (2w - 5) + (2w - 5) + w + w
Now you must solve for w
26 = 2w - 5 + 2w - 5 + w + w
Combine like terms
26 = 2w - 5 + 2w - 5 + w + w
26 = 6w - 5 - 5
26 = 6w - 10
Bring -10 to the other side by adding it to both sides
26 + 10 = 6w + (-10 + 10)
36 = 6w + 0
36 = 6w
Isolate w by dividing 6 to both sides
36/6 = 6w/6
6 = w
Width is 6 cm
To find length plug 6 in for w in the equation 2w - 5
2(6) - 5
12 - 5
7
Length is 7 cm
Hope this helped!
~Just a girl in love with Shawn Mendes
HELP ASAP!! Identify the reflection of the figure with vertices P(−11,−13), Q(−17,19), and R(23,−27) across the x-axis.
P (−11, 13), Q (−17, −19), R (23, 27)
P (11, 13), Q (17, −19), R (−23, 27)
P (11, −13), Q (17, 19), R (−23, −27)
P (−13, −11), Q (19, −17), R (−27, 23)
Answer:
P' (−11, 13), Q' (−17, −19), R' (23, 27)
Step-by-step explanation:
When we reflect a point across the x-axis, we negate the y-coordinates to obtain the image points.
The mapping for the reflection across the x-axis is
[tex](x,y)\to (x,-y)[/tex]
The vertices of the given figure are;
P(−11,−13), Q(−17,19), and R(23,−27)
We apply the rule to obtain:
[tex]P(-11,-13)\to P'(-11,13)[/tex]
[tex]Q(-17,19)\to Q'(-17,-19)[/tex]
[tex]R(23,-27)\to R'(23,27)[/tex]
The correct option is P' (−11, 13), Q' (−17, −19), R' (23, 27)
A pizza store offers three different party packages of pizza. The packages and price are listed below. If pizza cost the same individually or in a package, what is the cost of a large pizza
Answer:
it doesnt say the prices on here
Step-by-step explanation:
Which item is considered to be a negative in Penny's creditworthiness?
This profile belongs to Penny:
A. Owns her own house
B. Pays her bills on time
C. Has held several jobs in the last three years
D. Has one credit card and pays off the balance each month
Answer:
C. Has held several jobs in the last three years
Step-by-step explanation:
Stable employment is a positive with respect to creditworthiness. Changing jobs frequently is considered a negative.
__
The lack of credit history other than one credit card can also detract from Penny's creditworthiness. Lenders like to see that a few other lenders have extended you credit, and that all your payments have been "as agreed."
Please help, question above
Answer:
4^ (r-s)
Step-by-step explanation:
When the bases are the same, and we are dividing, we subtract the exponents
x^a ÷ x^b = x^ (a-b)
4^r ÷ 4^s = 4^ (r-s)
Please help me! Will mark brainliest!
Answer:
2 root 21
Step-by-step explanation:
14 + 6 equals 20
Add x is 21
2 root21
Answer:
B. 2sqrt(30)
Step-by-step explanation:
The three right triangles are similar.
In the left right triangle, the short leg measures 6, and the hypotenuse measures x.
In the large triangle, the short leg measures x, and the hypotenuse measures 6 + 14 = 20.
Since all three triangles are similar, the ratios of the lengths of corresponding sides are equal.
6/x = x/20
x^2 = 6 * 20
x^2 = 120
x = sqrt(120)
x = sqrt(4 * 30)
x = 2sqrt(30)
Answer: B. 2sqrt(30)
In triangle ABC, the length of side AB is 12 cm, the length of side BC is 5 cm, and the length of side CA is 9 cm. Find the measure of angle A using the law of cosines.
Answer:
22.20 is the correct answer! Hope I helped.
The measure of angle A is 22.19°.
What is a Triangle?A triangle is a polygon with three sides, vertices, and angles.
The length of the sides of a triangle ABC is
AB = 12 cm
BC = 5 cm
CA = 9 cm
The angle of the law of cosines has to be used to determine the value of angle A
b² = a²+c² - 2 ac cos A
Substituting the values
5² = 12² + 9² -2 * 12 *9 cos A
cos A = 0.9259
A = 22.19°
Therefore, the measure of angle A is 22.19°.
To know more about Triangle
https://brainly.com/question/2773823
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Please explain how to get the answer, with step by step explination. I would like to know, so I can do it by my self in the future.
Answer:
(-8, 135°)
Step-by-step explanation:
(8, -45°) has magnitude 8 and direction -45°.
If we add 180° to the direction and change the sign of the magnitude, we'll have the same point.
(-8, -45° + 180°) = (-8, 135°)
Among 100 students who enrolled in both Math 101 and English 101, 30% of the students scored an A in Math 101, 35% of the students scored an A in English 101, and 20% of the students scored an A in both Math 101 and English 101. What percentage of the students scored an A in neither Math 101 nor English 101?
Answer:
The percentage of the students scored an A in neither Math 101 nor English 101 is 55%
Step-by-step explanation:
* Lets study the meaning of or , and on probability
- The use of the word or means that you are calculating the probability
that either event A or event B happened
- Both events do not have to happen
- The use the word and, means that both event A and B have to happen
* The addition rules are:
# P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen
at the same time)
# P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they
have at least one outcome in common)
- The union is written as A∪B or “A or B”.
- The Both is written as A∩B or “A and B”
* Lets solve the question
- There are 100 student enrolled in both math and English Exams
- 30% of them scored an A in Math
- 35% of them scored an A in English
- 20% of them scored an A in both
- To find the neither lets find either and then subtracted from the total
∵ P(A or B) = P(A) + P(B) - P(A and B)
∵ P(Math) = 30%
∵ P(English) = 35%
∵ P(Math ∩ English) = 20%
∴ P(Math ∪ English) = 30% + 35% - 20% = 45%
- To find the neither subtract either from the total
∵ The total of students who enrolled is 100
∴ The percentage of the students who enrolled is 100%
∴ The percentage of the students scored an A in neither Math nor
English = 100% - 45% = 55%
* The percentage of the students scored an A in neither Math 101 nor
English 101 is 55%
To find the percentage of students who scored an A in neither Math 101 nor English 101, subtract the percentage of students who scored an A in both subjects from the total percentage of students who scored an A in either subject.
Explanation:To find the percentage of students who scored an A in neither Math 101 nor English 101, we need to subtract the percentage of students who scored an A in both subjects from the total percentage of students who scored an A in either Math 101 or English 101.
Given that 30% of the students scored an A in Math 101, 35% of the students scored an A in English 101, and 20% of the students scored an A in both subjects, we can calculate the percentage of students who scored an A in neither subject as follows:
Percentage of students who scored an A in neither subject = 100% - (Percentage of students who scored an A in Math 101 + Percentage of students who scored an A in English 101 - Percentage of students who scored an A in both subjects)
= 100% - (30% + 35% - 20%)
= 100% - 45%
= 55%
Need help with math
Answer:
45
Step-by-step explanation:
So more than 3 people.
Families with 4 =245
Families with 5=125
Families with 6=66
Families with 7=10
Families with 8=4
Add up (this will be our numerator)
Add up all the frequency numbers to get your denominator.
So the answer is =450/1000=45/100=45%
SAFF (Students against Fatty Food) is a group of students who are protesting the food in high school cafeterias. At a recent rally, the students covered the first 40 yards by 40 yards of the football field. There were 24 students in each 8 feet by 8 feet square. What steps would you take to determine how many students were present at the rally?
Convert yards to feet, then divide by feet square and multiply by the number of students.
Multiply the feet by the number of students.
Multiply yards by feet and divide by the number of students
Multiply the number of students by the yards of the football field.
Answer:
The total area covered by students is 40 yd x 40 yd = 1600 yd^2
24 students covered 8 ft x 8ft or (8 ft x 1 yd/3 ft)^2 = [(8/3) yard]^2 = (64/9) yd^2
Therefore, you need the amount of students per yard or 24 students/(64/9) yd^2
and multiply (students/yd^2) x (area covered by students) = number of total students present
Therefore: number of students present = 24 students/(64/9) yd^2 x 1600 yd^2 = 5400 students
Step-by-step explanation:
Please mark brainliest and have a great day!
Find the solution of the system of equations shown on the graph
Answer:
(7, 9)
Step-by-step explanation:
The lines cross at point (7, 9). This is the solution.
__
If we assume the variables being graphed are x and y, then the solution is ...
x = 7y = 9Stuck on a math: Fraction exponent factoring and simplifying.
Step-by-step explanation:
(x+2)^(-1/5) - (x+2)^(-6/5)
Factor out (x+2)^(-1/5):
(x+2)^(-1/5) [ 1 - (x+2)^(-5/5) ]
(x+2)^(-1/5) [ 1 - (x+2)^-1 ]
(x+2)^(-1/5) [ 1 - 1/(x+2) ]
Common denominator:
(x+2)^(-1/5) [ (x+2)/(x+2) - 1/(x+2) ]
(x+2)^(-1/5) [ (x+2-1)/(x+2) ]
(x+2)^(-1/5) [ (x+1)/(x+2) ]
[tex](x+2)^{-\frac{1}{5}}-(x+2)^{-\frac{6}{5}}[/tex]
[tex]\dfrac{1}{(x+2)^{\frac{1}{5}}}-\dfrac{1}{(x+2)^{\frac{6}{5}}}[/tex]
[tex]\dfrac{1}{\sqrt[5]{x+2}}-\dfrac{1}{(x+2)\sqrt[5]{x+2}}[/tex]
[tex]\boxed{\dfrac{x+1}{\sqrt[5]{x+2}\cdot(x+2)}}[/tex]
Hope this helps.
r3t40
Graph the function y=|x+1-4
Answer: see graph
Step-by-step explanation:
I am assuming the question should read: y = |x + 1| - 4
You can graph this using transformations or by creating a table.
Transformations:
The parent function is y = |x|
The transformation is moving the graph 1 unit to the left and 4 units down - the vertex is moved from the origin to (-1, -4)
Table:
Choose x-values and solve for y
[tex]\begin{array}{c|c||c}\underline{\quad x\quad }&\underline{\quad y=|x+1|-4\quad }&\underline{Coordinate}\\-1&y=|-1+1|-4&(-1,-4)\\0&y=|0+1|-4&(0,-3)\\1&y=|1+1|-4&(1,-2)\end{array}[/tex]
Question 24 (1 point)
Leanne has a gas card that has $150 on it. She spends $25 a week on gas. Write a recursive
rule that represents the amount of money she has on her gas card after the first week.
Answer:
[tex]A_{(x)}[/tex] = 150 - 25x
Step-by-step explanation:
Let Leanne uses gas for x weeks.
Since expenditure on gas for one week = $25.00
Therefore, Leanne will spend on gas for x weeks = $25x
It is given in the question that she has total amount = $150.00
So the amount Leanne is left with after x weeks = 150 - 25x
If we represent amount left, by [tex]A_{(x)}[/tex]
so the recursive formula will be
[tex]A_{(x)}[/tex] = 150 - 25x
Now for x = 1 week
[tex]A_{(1)}[/tex] = 150 - 25 = $125
Therefore, Leanne will have $125 in her gas card after the first week.
A stereo system is being installed in a room with a rectangular floor measuring 16 feet by 12 feet and an 8-foot ceiling. The stereo amplifier is on the floor in one corner of the room. A speaker is at the ceiling in the opposite corner of the room. You must run a wire from the amplifier to the speaker, and the wire must run along the floor or walls (not through the air). What is the shortest length of wire you can use for the connection?
Answer:
4√41 ≈ 25.61 feet
Step-by-step explanation:
The shortest route is the one that crosses the longest edge between room surfaces. In this case, that is the 16-foot edge between the floor and wall opposite the amplifier, or the 16-foot edge between the ceiling and the wall adjacent to the amplifier.
The length of the required wire is ...
√((8+12)² +16²) = √656 = 4√41 ≈ 25.61 . . . feet
Answer:
√((8+12)² +16²) = √656 = 4√41 ≈ 25.61 feet
Step-by-step explanation:
The first 5 terms of a number pattern are shown below.
4, 9, 14, 19, 24
Which expression is equivalent to the value of the nth term in the pattern?
[tex]\bf 4~~,~~\stackrel{4+5}{9}~~,~~\stackrel{9+5}{14}~~,~~\stackrel{14+5}{19}~~,~~\stackrel{19+5}{24}\qquad \impliedby \stackrel{\textit{common difference}}{d=5} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=4\\ d=5 \end{cases} \\\\\\ a_n=4+(n-1)5\implies a_n=4+5n-5\implies a_n=5n-1[/tex]
PLEASE HELP ME WITH THIS MATH PROBLEM
Answer:
A'(-1, -1)
Step-by-step explanation:
Dilation about the origin multiplies each individual coordinate value by the dilation factor.
A' = (1/3)A = (1/3)(-3, -3) = (-1, -1)
Answer:
(-1, -1)
Step-by-step explanation:
When you figure scale factor, it's always a number that's multiplied into the coordinates of the pre-image. The coordinates of A are (-3, -3), so multiplying in the scale factor of 1/3 divides each of those coordinates by 3. -3/3 = -1
Base your answer to the following question on the diagram shown and the given information
In the diagram shown, /ll m, m_1 = 3x + 25 and m28 = 4x - 17
Find the measure of 2.
29
49
131
151
Answer:
29°
Step-by-step explanation:
∠1 ≅ ∠8
3x+25 = 4x -17
42 = x . . . . . . . . . . add 17-3x
Now, we can find the measure of ∠1:
m∠1 = 3(42) +25 = 151
Angle 2 is the supplement to this, so has measure ...
m∠2 = 180° -151° = 29°