The value of x if U is between T and V is -7/3
How to determine the value of x?The given parameters are:
U is between T and V,
TU = 7x + 35
UV = 4(x + 7)
TU ≅ UV
The above means that
7x + 35 = 4(x + 7)
Open the brackets
7x + 35 = 4x + 28
Evaluate the like terms
3x = -7
Divide both sides by 3
x = -7/3
Hence, the value of x if U is between T and V is -7/3
Read more about line segments at
https://brainly.com/question/2437195
#SPJ1
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
Answer:
The probability of the given scenario occuring is about 0.0153.
Step-by-step explanation:
A standard deck contains 52 cards.
We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.
So, the probability that the first card is a spade is 13/52 or simply 1/4.
Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.
This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.
Now that we've drawn two cards without replacing them, the total number of cards left is 50.
And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.
Then the probability of the third card being hearts will be 12/50 or 6/25.
Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:
\(\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153\)
The probability of the given scenario occuring is about 0.0153.
What are 2 institutions from the Industrial Revolution? NEED ANSWER NOW PLEASE!!!!!!!
A. Corporations
B. National Institute of Space and Technology
C. Labor Unions
D. National Institute of Disaster Management
The institution from the industrial revolution is the national institute of space and technology. Hence, option B is correct.
What is Industrial Revolution?Agrarian and handcraft economies were replaced by industrialized and machine production during the Industrial Revolution in modern history. New modes of living and working were made possible by these technical advancements, which profoundly altered society.
In the 18th century, this practice started in Britain and then extended to other regions of the world. The English economics professor Arnold Toynbee (1852–83), who originally used the word to characterize Britain's economic growth from 1760 to 1840, although it had been used by French writers earlier.
To know more about Industrial Revolution:
https://brainly.com/question/855594
#SPJ1
calculate without using a calculator3√27+(-3√64
Answer:
\( 9 \sqrt{3 } -12 \sqrt{4} \\ 3 \sqrt{9 \times 3} - 3 \sqrt{16 \times 4 } \\ from \: here \: we \: see \: that \: the \: square \: root \: of \: 9 \: is \: 3 \: and \: square \: root \: of \: 16 \: is \: 4 \: so fnal \: answer \: is \\ 9 \sqrt{3} - 12 \sqrt{4} \)
Step-by-step explanation:
from the question we see root 27 and root 64
so what we do next is we look for two numbers that we can multiply together to give 27 and 64 in which one if the number is a perfect square
for root 27 we use 9 and 3
for root 64 we use 16 and 4
74.94×103=
because the number 10³ has
zeros when it is written without an exponent. ineed it now please
Answer:
74940
Step-by-step explanation:
I believe you meant 74.94*10^3. The ^ indicates exponentiation. 10^3 is equivalent to 1000; Multiplying 74.94 by 1000; we get 74940.
Winona has two jobs; one pays $10.00 per hour and the other pays $9.25 per hour plus an average of 70% of the hourly pay in tips and bonuses. Each pay
period, 20% of her total pay goes to taxes.
Part 1 of 2
(a) Write and simplify an equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the
number of hours, y, worked at the second.
The total take-home pay from Winona's two jobs can be found using the equation
P=
Part 2 of 2
X
3
(b) If Winona is committed to work 30 hours per week at the first job, how many hours per week would she need to work at the second job if she needs
her biweekly take-home pay to be $800? Round the answer to one decimal place.
In order for her biweekly take-home pay to be $800, Winona needs to work
hours per week at her second job.
Answer:
76.5 hours
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
Part 1 of 2:
(a) The equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the number of hours, y, worked at the second job can be written as:
P = (10x) + (9.25y + 0.7 * 9.25y) - 0.2[(10x) + (9.25y + 0.7 * 9.25y)]
Simplifying the equation:
P = 10x + 9.25y + 0.7 * 9.25y - 0.2(10x + 9.25y + 0.7 * 9.25y)
Part 2 of 2:
(b) If Winona is committed to working 30 hours per week at the first job, let's assume x = 30. We need to find the number of hours per week, y, she would need to work at the second job to reach a biweekly take-home pay of $800.
Using the simplified equation from part (a), we substitute x = 30 and solve for y:
800 = (10 * 30) + (9.25y + 0.7 * 9.25y) - 0.2[(10 * 30) + (9.25y + 0.7 * 9.25y)]
800 = 300 + (9.25y + 0.7 * 9.25y) - 0.2(300 + (9.25y + 0.7 * 9.25y))
Now, we can solve for y:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2(300 + 9.25y + 0.7 * 9.25y)
Simplify the equation:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2 * 300 - 0.2 * 9.25y - 0.2 * 0.7 * 9.25y
Combine like terms:
800 = 300 - 60 + 9.25y - 1.85y - 0.1295y
800 = 240 + 7.32y
Subtract 240 from both sides:
560 = 7.32y
Divide both sides by 7.32:
y ≈ 76.5
Therefore, Winona would need to work approximately 76.5 hours per week at her second job to reach a biweekly take-home pay of $800.
Ali used 2/7 of a foot of ribbon to attach a decoration to his rearview mirror. Now, he has 10/21 of a foot of ribbon left.
QUESTION: How much ribbon did Ali start with?
The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.
What are mathematical operations?The basic mathematical operations include addition, subtraction, division, and multiplication.
In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).
The quantity of ribbon attached to the rearview mirror = 2/7
The remaining quantity of ribbon after the attachment = 10/21
The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)
Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.
Learn more about mathematical operations at https://brainly.com/question/4721701
#SPJ1
f(x) = x² - 4 and g(x)= x^2 + 1 are sketched 10.1.2 Determine the length of DB .
x⁴ - 8x² + 17 is the function that represents the fog(x).
To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):
g(f(x)) = g(x² - 4)
Now, we can substitute the expression for g(x) into the above expression:
g(f(x)) = (x² - 4)² + 1
Expanding the squared term, we get:
g(f(x)) = x⁴ - 8x² + 17
Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.
Learn more about function here:
https://brainly.com/question/29633660
#SPJ1
Complete question:
f(x) = x² - 4 and g(x)= x^2 + 1 find fog(x).
Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?
Answer: I need help pls
Step-by-step explanation:
Answer:
Its A.
Step-by-step explanation:
Please helpppppppp meeeeee asappppppppp pleaseeeeeeee !!???
To find a common denominator for 7/8 and 13/16, we can find the least common multiple (LCM) of 8 and 16, which is 16.
LCM's meaning ?
lowest common factor
Describe LCM. Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
7/8 can be written as 7 * (2/2) / 8 = 7 * 2 / 16 = 7/16
13/16 is already in the form of a fraction with a denominator of 16, so no further modification is needed.
So, 7/8 can be written as 7/16 and 13/16 can be written as 13/16.
Learn more about lowest common factor
https://brainly.com/question/233244
#SPJ1
If p(x) = 2x^2 – 4x and q(x) = x – 3, what is (p*q)(x)?
Answer: 2x2-16x+30
Step-by-step explanation:
Here we have to find p(q(x))
q(x) =x -3
we will plug value of q(x) in x of p(x)
p(x) =2x2-4x
p(q(x)) = 2(x-3)2-4(x-3)
= 2(x2-6x+9)-4(x-3)
=2x2-12x+18 -4x+12
=2x2-16x+30
Select all of the equations that are equivalent to 8k = 20. 8k – 4 = 20 + 4 8k ÷ 4 = 20 ÷ 4 8k × 3 = 20 × 3 8k + 10 = 20 + 10 8k × 5 = 20 ÷ 5
Answers : ACD
The equations that are equivalent are (b) 8k ÷ 4 = 20 ÷ 4, (c) 8k × 3 = 20 × 3 and (d) 8k + 10 = 20 + 10
How to determine the equations that are equivalent?From the question, we have the following parameters that can be used in our computation:
8k = 20.
Divide both sides of the equation by 4
So, we have the following representation
8k ÷ 4 = 20 ÷ 4
Multiply both sides of the equation by 3
So, we have the following representation
8k × 3 = 20 × 3
Add 10 to both sides of the equation
So, we have the following representation
8k + 10 = 20 + 10
Hence, the equivalent equation is 8k + 10 = 20 + 10
Read more about equivalent equation at
https://brainly.com/question/15775046
#SPJ1
Will there ever be an
age, other than 14 and
7, where Pedro is twice
as old as his brother?
Explain.
Answer:
No
Step-by-step explanation:
They are 7 years apart. Therefore, the only age where Pedro will be twice as old is his brother is the age 14 because 7 is half of 14.
Hi!
Your answer is No.
This is because they are seven years apart in age. The only way for Pedro to be twice as old as his brother would be for
a + 7 = 2a
('a' is Pedro's brother's age)
Now, if we subtract a from both sides in the top equation, we get:
7 = a
There is only one solution to this equation.
Which one of these pls help
The side AC is 10 units long.
How does one determine length?Measurement of length can be done in a variety of methods, including using handspan, foot span, metres, or other units including millimetres, inches, and metres. There are two types of length measurement units: There are both conventional and nonstandard length measurement units.
The Pythagorean theorem can be used to determine the length of side AC in the triangle ABC given:
AC² = AB² + BC²
AC² = 6² + 8²
AC² = 36 + 64
AC² = 100
AC = 10
As a result, the side AC is 10 units long.
To know more about Length visit:
https://brainly.com/question/30100801
#SPJ1
A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
Learn more about the average here:
brainly.com/question/24057012
#SPJ1
In ADEF, DE | GH. Given that FG=20, DE=49, and GH=28, find FD.
Answer:
35
Step-by-step explanation:
\(\angle FGH \cong \angle FDE\) and \(\angle FHG \cong \angle FED\) by the corresponding angles theorem.
Therefore, \(\triangle FDE \sim \triangle FGH\) by AA similarity.
Corresponding sides of similar triangles are proportional, so \(\frac{FD}{20}=\frac{49}{28} \implies FD=35\).
3(x-6)-8x=-2+5(2x+1)
Answer:
x=-21/15
Step-by-step explanation:
3x-18-8x=-2+10x+5
-5x-18=10x+3
15x=-21
x=-21/15
pls help I GIVE BRAINIEST.In the graph above, determine where the image for vertices A, B, C, and D will be located after Quadrilateral ABCD is reflected over the y = 0 mirror line and then dilated using a scale factor of 2.5.
Step-by-step explanation:
reflect the shape, will give you:
A = (-1,0)
B= (3, -5)
C= (-6, -7)
D= (-4, -1)
If a point A(x, y) is dilated by a factor P, the new point would be at
A'(Px, Py).
A = -1/2.5 = -0.4 0/2.5= 0
= ( - 0.4, 0)
B = 3/2.5 = 1.2 -5/2.5 = -2
= (1.2, -2)
C = -6/2.5= -2.4 -7/2.5 = -2.8
= ( -2,4, -2.8)
D = -4/2.5 = -1.6. -1/2.5 = -0.4
= ( -1.6, -0.4)
You're Welcome!
Answer:
Step-by-step explanation:
( -1.6, -0.4)
A) write 120 as product of its prime factors.
B) 315=3^2×5×7
Use this formation to find the smallest integer value of n, such that 315n is a square number.
Answer:
120 = 2³ · 3 · 5315 · 35 = 105²; n = 35Step-by-step explanation:
You want the prime factors of 120, and the smallest positive multiplier of 315 that makes the product a perfect square.
A) FactorsYou know that 120 = 12·10, and that each of these factors can be factored further:
120 = (4·3) · (2·5) = 2³ · 3 · 5
B) SquareIf a number is a perfect square, each of its prime factors has an even exponent. The factors 5 and 7 of 315 each have an exponent of 1, so the smallest n such that 315n is a square will be ...
n = 5·7 = 35
The product 315·35 is (3²·5·7)(5·7) = 3²·5²·7² = 105²
<95141404393>
how to turn NSQ to SQ statistical problem
NSQ can be turned into SQ through hypothesis testing and statistical analysis to determine significant relationships and patterns in the data.
To turn a non-statistical question (NSQ) into a statistical question (SQ), we need to rephrase it in a way that allows for statistical analysis. A statistical question is one that can be answered by collecting and analyzing data. Here is an example of how to turn an NSQ into an SQ:
This is a non-statistical question because it cannot be answered by collecting and analyzing data. It is purely a matter of personal preference and cannot be measured quantitatively. However, we can turn it into a statistical question by rephrasing it as:
To answer this question, we would need to collect data from a sample of the population and analyze it statistically. For example, we could conduct a survey of 1000 people and ask them which beverage they prefer. We would then calculate the percentage of respondents who prefer tea over coffee and use statistical methods to estimate the margin of error and confidence interval.
By turning the non-statistical question into a statistical question, we have made it possible to collect and analyze data to answer it. This approach is useful in many fields, including market research, social sciences, and healthcare, where data-driven decisions are increasingly important.
for such more question on statistical analysis
https://brainly.com/question/14724376
#SPJ11
The function f(t)=16t2 represents the distance (in feet) a dropped object falls in t seconds. The function g(t)=s0 represents the initial height (in feet) of the object. A necklace is dropped from a height of 25 feet. After how many seconds does the necklace hit the ground.
Answer: 1.25 seconds.
Step-by-step explanation:
f(t) = (-16ft/s^2)*t^2 + g(t)
(i just wrote the units of the acceleration as ft per second squared, matching the gravitational acceleration in Earth)
this function will represent the height of a function that is dropped from an initial height g(t).
In this case, we have a necklace dropped from a height of 25 ft.
then g(t) = 25ft.
And the height equation will be:
f(t) = (-16ft/s^2)*t^2 + 25ft
The necklace will hit the ground hen f(t) = 0, then we can impose that and find the value of t.
f(t) = 0ft = (-16ft/s^2)*t^2 + 25ft
(16ft/s^2)*t^2 = 25ft
t = √(25ft/ (16ft/s^2)) = 1.25 s
Then the necklace will hit the ground after 1.25 seconds.
Equation that passes through 4,-3 and -4,7
Evaluate 8 + 3e when e = 2.
Answer:
14
Step-by-step explanation:
8+3e plug in 2
8+32 Multiply 3 and 2.
8+6=14
HELP!!
Next, you will make a scatterplot. Name a point that will be on your scatter plot and describe what it represents.
A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
One point on the scatter plot for this problem has the coordinates given as follows:
(19, 3).
Hence the meaning is that an input of 19 is mapped to an output of 3.
More can be learned about scatter plots at brainly.com/question/6592115
#SPJ1
What are the center and radius if the equation (x-2)^2 + (y-9)^2
Step-by-step explanation:
(x-2)^2 + (y-9)^2 = r^2
this is of the form fora circle with center h,k and radius r
(x-h)^2 + (y-k)^2 = r^2
for the equation given center = 2, 9 and radius = r
jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.
how much sparkiling water does jada need if she uses 15 cups of apple juice?
solve the answer with a full explanation
Answer:
10 cups
Step-by-step explanation:
we can set up a proportion of cups of water over cups of apple juice
2/3 = w/15
if you cross-multiply you will get:
3w = 30
w = 30/3
w = 10
HELP PLS !% POINTS!!
Answer:
149 sq. ft
Step-by-step explanation:
For the triangle:
Base = 16-9 = 7 ft
Area of Triangle = 1/2 of b.h
= 1/2 of 7 * 6
= 21 sq. ft
Area of Rectangle = l.b
= 5 * 16
= 128 sq. ft
Total Area = 149 sq. ft
(a) Write the next whole number after 222three in the base-three system.
Answer:
1000
Step-by-step explanation:
You want the next number after 222 in base 3.
Counting sequenceIn any useful number base, the counting at any given integer position is ...
0, 1, 2, 3, ..., (base -1), 0 and add 1 to the next number position
For base 3, this is ...
0, 1, 2, 10
When the digit in the next higher position is also (base -1), then it gets incremented to 0 and the carry is propagated to the left.
In base 10, the equivalent is ...
999 +1 = 99(9+1) = 99(10) = 9(9+1)0 = 9(10)0 = (9+1)00 = 1000
In base 3, your incremented value is ...
222 +1 = 22(2+1) = 22(10) = 2(2+1)0 = 2(10)0 = (2+1)00 = 1000
The next whole base 3 number after 222 is 1000.
Maria, Ahmad, and Bob sent a total of 52 text messages during the weekend. Maria sent fewer messages than Bob. Ahmad sent times as many messages as Bob. How many messages did they each send?
Answer:
Maria sent 7 messages
Bob sent 5 messages
Ahmad sent 45 messages
Step-by-step explanation:
Given that Maria, Ahmad, and Bob sent a total of 52 text messages during the weekend.
If Maria sent fewer messages than Bob, and Ahmad sent times as many messages as Bob
Since the exact figures were not given, then let make an assumption that Ahmad sent 9 times as many messages as Bob.
If Bob sent 5 messages, then, Ahmad will send 5 × 9 = 45 messages
Also, it is given that Maria sent fewer messages than Bob. Take 45 away from 52. That is,
52 - 45 = 7
Therefore,
Maria sent 7 messages
Bob sent 5 messages
Ahmad sent 45 messages
an electrician charges $322 for 7 hours of work. how much does the electrician charge per hour?
Answer:
$46 per hour.
Step-by-step explanation:
Make the equation.
$322 = 7 hours
Divide both sides by the amount of hours.
$322 = 7 hours
/7 /7
$46 = 1 hour
The electrician charges $46 for one hour of work.
Students at Sunnyvale Middle School volunteered to work a 2-hour shift at a
car wash fundraiser. The table shows the number of people who worked each
shift and how many cars they washed.
Is the relationship between the number of
cars washed and the number of workers
proportional? Complete the statement.
The number of cars washed per person
?
of workers, so the relationship is
the same for each number
?
People Working
4
6
8
10
Cars Washed
8
12
20
25
The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The ratios between the output and the inputs are given as follows:
8/4 = 2.12/6 = 2.20/8 = 2.5.25/10 = 2.5.Different ratios, hence the relationship is not proportional.
A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640
#SPJ1