Answer:
VW = 36
Step-by-step explanation:
From the question, we are given:
VW = 5x - 4, UV = 2x,
UW = 52
Hence,
UV + VW= UW
2x + 5x - 4 = 52
7x = 52 + 4
7x = 56
x = 56/7
x = 8
VW = 5x - 4,
VW = 5(8) - 4
VW = 40 - 4
VW = 36
In the expression 3x²y + 4x – 5x’y, are the terms 3x’y
and –5x+y like terms? Explain by providing support for
your answer.
Answer:
Yes. 3x²y and -5x²y are like terms because the variables x and y have the same exponents.
Sketch the region enclosed by the given curves.
y = tan(9x), y = 2 sin(9x), −π/27 ≤ x ≤ π/27
Find its area.
Answer:
Area (A) [tex]\simeq[/tex] 0.0682
Step-by-step explanation:
The sketch for the region enclosed by the given curves can be found in the image attached below.
From the image below;
The two curves intersect in the area of tan 9x = 2 sin 9x
Recall that:
[tex]\dfrac{sin \ 9x }{cos \ 9x } = 2 \ sin \ 9x[/tex]
[tex]cos \ 9 x= \dfrac{1}{2}[/tex]
making x the subject; then:
[tex]x = \dfrac{1}{9} cos ^{-1}(\dfrac{1}{2})[/tex]
[tex]x = \dfrac{1}{9}(\dfrac{\pi}{3})[/tex]
[tex]x = \dfrac{\pi}{27}[/tex]
The subdivision of the domain is in two intervals [tex][-\dfrac{\pi}{27}, 0], [0, \dfrac{\pi}{27}][/tex]
where;
[tex]x \ \ \varepsilon \ \ [ -\dfrac{\pi}{27},0]; tan \ 9x > 2 sin \ 9x[/tex]
[tex]x \ \ \varepsilon \ \ [ 0,\dfrac{\pi}{27}]; tan \ 9x < 2 \ sin \ 9x[/tex]
Area (A) = [tex]\int ^0_{-\pi/27}}} ( tan \ 9x - 2 \ sin \ 9x ) \ dx + \int ^{\pi/27}_{0}(2 \ sin \ 9x - tan \ 9x \ ) \ dx[/tex]
[tex]= \begin {bmatrix} \dfrac{1}{9} In \ sec 9x + \dfrac{2}{9} \ cos \ 9x \end {bmatrix}^0_{-\pi/27} + \begin {bmatrix} -\dfrac{2}{7} cos 9x - \dfrac{1}{9} \ In \ sec \ 9x \end {bmatrix}^{-\pi/27} _0[/tex]
[tex]= \dfrac{1}{9}(1-In 2) + \dfrac{1}{9}(1-In 2)\\[/tex]
[tex]= \dfrac{2}{9}(1 - In 2)[/tex]
Area (A) = 0.06818
Area (A) [tex]\simeq[/tex] 0.0682
what is a thesis statement?
Answer:
es discurso que da un una persona sobre un hecho o circunstancia concreta, en éste, se especifican todos los detalles sobre estos, por lo que la mayor parte del tiempo está planificado. El uso de esta palabra está dirigido, principalmente, al campo jurídico.
the next model of a sports car will cost 6.8% less than the current model. the current model costs $42,000. how much will the price decrease in dollars? what will be the price of the next model?
Answer:
see below
Step-by-step explanation:
the current model costs $42,000.
next model = 6.8% less than $42,000
find;
1. how much will the price decrease in dollars?
2. what will be the price of the next model?
solution:
1. the price decrease = $42,000 x 0.068
= $2,8562. price of next model = $42,000 - $2,856
= $39,144You are putting in a walkway around a tomato garden that has
dimensions of 14 feet x 8 feet. The width of the walkway needs to be
the same around each side of the garden. The total area of the
garden and the walkway needs to be 315 square feet.
Answer:
The garden is 14ft by 8ft.
The width of the walkway needs to be the same around each side of the garden, let's suppose that the width is X.
Then the area of the garden plus the walkway will be:
(14ft + X) by (8ft + X).
And we want that the total area of the garden and the walkway must be equal to 315 ft^2. Then we must solve the equation:
(14ft + X)*(8ft + X) = 315ft^2
Let's solve this for X.
112ft^2 + 14ft*X + 8ft*X + X^2 = 315ft^2
Let's move al the terms to the same side:
X^2 + (14ft + 8ft)*X + 112ft^2 - 315ft^2 = 0
X^2 + 22ft*X - 203ft^2 = 0.
Now to solve this we can use Bhaskara's equation:
[tex]X = \frac{-22ft +- \sqrt{(22ft)^2 - 4*1*(203ft^)} }{2} = \frac{-22ft +-36ft}{2}[/tex]
Then we have two solutions:
X = (-22ft - 36ft)/2 = -29ft
This solution is negative, and X represents a width, so must be positive, then we can discard this solution.
X = (-22ft + 36ft)/2 = 7ft
Then we can conclude that the width of the walkway must be 7ft.
Does the graph represent y as a linear function of x ?
Answer: yes because without the x the y does not have a corresonding oint
10) Mrs. Jimenez bought some jeans to sell at her store. The wholesale
price for the jeans was $65 and she marked up the price by 25%. What
was the retail price of the jeans?
O $65.25
Answer:
The retail price of the jeans was $81.25.
Second Choice: $81.25.
Step-by-step explanation:
Mrs. Jimenez paid $65 for some jeans.
She intended to sell them at her store by marking their price up by 25%.
We have to add 25% to $65:
25 * $65 / 100 = $16.25
$65 + $16.25 = $81.25
The retail price of the jeans was $81.25.
Second Choice: $81.25.
Answer:
B
Step-by-step explanation:
What is the value of x?
20
35
60
70
Answer:
20°
Step-by-step explanation:
Step 1:
x + 40° = 3x Vertical ∠'s
Step 2:
40° = 2x Subtract x on both sides
Step 3:
x = 40° ÷ 2 Divide
Answer:
x = 20°
Hope This Helps :)
Can you check my answers see if it’s correct please!!!
Answer:
You are right
Step-by-step explanation:
5 1
1)
4 3
What is the anwser
Triangle ABC with vertices A(2, 7), B(6,5),
and C(4, 1): 90° counterclockwise on a graph
Answer:
Step-by-step explanation:
Hope it helps!!
Triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).
Given that, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
90° counterclockwise rotation: (x, y) becomes (-y, x)
A(2, 7) → A'(-7, 2)
B(6, 5) → B'(-5, 6)
C(4, 1) → C'(-1, 4)
Therefore, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).
Learn more about the rotation of 90° counterclockwise here:
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Write the word sentence as an inequality. Then solve the inequality. 3/4 is greater than or equal to a number k divided by -8
Answer:
[tex]\frac{3}{4} \geq \frac{k}{-8}[/tex] k ≥ -6Step-by-step explanation:
Re-arrange: [tex]\frac{3}{4} \geq \frac{k}{-8}[/tex] Multiply each side by -8 to cancel out the -8 under k. It should now look like this: k ≥ -6I hope this helps!
What is the coefficient of determination for this data set?
Answer:
0.91
explanation:
what ratio is lesa than 7/15
Answer:
2/5=6/15 and that is less so....
Step-by-step explanation:
20% of 45
Help. Plzzzzzzzzzz
Find the distance between -3/4 and 1 3/4 on a number line. Write your answer as a fraction or mixed number in simplest form.
A fraction is a way to describe a part of a whole. The distance between -3/4 and 1 3/4 on a number line is 1 unit.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
The distance between -3/4 and 1 3/4 on a number line is,
Distance = 1 3/4 - 3/4
= 7/4 - 3/4
= (7-3)/4
= 4/4 units
= 1 units
Hence, the distance between -3/4 and 1 3/4 on a number line is 1 unit.
Learn more about Fraction here:
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What is the area of the figure below ?
Answer: 99 sq meters
Step-by-step explanation:
break the figure up into smaller boxes. the far left is 48 m^2, the middle box is 15 m^2, and the right box is 36 m^2
please help me and respond with legitimate answers!
Answer:
They are all obtuse scalene triangles I think
Sabendo-se que 9 174 532 x 13 = 119 268 916, pode-se concluir que é divisível por 13 o número:
a) 119 268 903
b) 119 268 907
c) 119 268 911
d) 119 268 913
e) 119 268 923
Answer:
A
Step-by-step explanation:
Sabendo que 119 268 916 é divisível por 13, o número 119 268 903 também é divisível por 13.
Isso ocorre porque a diferença entre um múltiplo de um número e o próximo múltiplo de um número é esse próprio número.
Portanto, para encontrar outros múltiplos que são divisíveis por 13 dado o resultado na pergunta, podemos adicionar múltiplos menores de 13 ou subtrair múltiplos menores de 13 do número.
O que estamos dizendo é que o número - 13 ou mesmo -26 ou +39 daria outro múltiplo de 13. O que estamos dizendo é que chegaremos a um número que é divisível por 13 do outro número dado que o número que estamos adicionando ou subtrair do número é um múltiplo de 13.
Agora vamos verificar as opções, podemos ver que a diferença entre o número e a opção é 13 que, claro, é um múltiplo de 13.
Esta é a razão pela qual o número é a nossa resposta.
Help me plz
8th grade math
Answer
I would say the 3rd one.
Step-by-step explanation:
I do not really remember this but I am in 8th grade math to (Algebra)
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 63% C: Scores below the top 37% and above the bottom 16% D: Scores below the top 84% and above the bottom 8% F: Bottom 8% of scores Scores on the test are normally distributed with a mean of 80.1 and a standard deviation of 7.2. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer: 88.56
Step-by-step explanation:
Given that:
Mean score (m) = 80.1
Standard deviation (s) = 7.2
Minimum score required to score A grade =?
A= Top 12% of scores
Zscore corresponding to top 12% = bottom 88%
Zscore = 1.175
Zscore = (x - mean) / s
1.175 = (x - 80.1) / 7.2
1.175 * 7.2 = x - 80.1
8.46 = x - 80.1
8.46 + 80.1 = x
x = 88.56
Help me plz
It’s 8th grade math
And ion know what the answer is..
Answer:
B slope = 1 and y intercept is 3
Step-by-step explanation:
The y intercept is where the line crosses the y axis (x is zero).
The slope can be figured by how far the line rises and runs to the next intersection of lines. In this case it goes up 1 and to the right 1. The slope would be 1/1 or 1
Answer:
Slope =1 ; Y-intercept=3
Step-by-step explanation:
The y intercept would be the point on the vertical line that touches the graph which in this case is three.
then to get to the next point that's on the line would have to move over 1 once to the right and one time up. so the slope is 1 over 1 which would equal 1.
The temperature at 6 a.m. was −12°F. At 11 a.m. the temperature was 0°F. Which of the following shows the temperature change from 6 a.m. to 11 am?
Answer:
+12 degrees
Step-by-step explanation:
You never showed a picture, but im pretty sure this is correct
I hope this helped, please mark Brainliest, thank you!
at the city Museum, child admission is $5.10 an adult mission is $8.70. On Friday, 136 tickets were sold for total sales of $970.80. How many adult tickets were sold that day
Answer:
x = 76 children's tickets sold
Step-by-step explanation:
Let x = the number of children's tickets sold
Let y = the number of adult tickets sold
x + y = 131
5.5x + 9.8y = 957 Solve the first equation for y
y = 131 - x Multiply the second equation by 10
55x +98y = 9570 Substitute the above equation into this one.
55x + 98(131-x) = 9570 Use the distributive property
55x + 12838 - 98x = 9570 Solve the equation
-43x = -3268
x= 76 children's tickets sold
who is lionel messi
Answer:
He is a soccer player
Step-by-step explanation:
Lionel Andrés Messi is an Argentine professional footballer who plays as a forward and captains both Spanish club Barcelona and the Argentina national team.
Answer:
an Argentine professional footballer (soccer) who plays as a forward and captains both Spanish club Barcelona and the Argentina national team.
Step-by-step explanation:
Which equation expresses d in terms of t and a?
Answer:
Option D
Step-by-step explanation:
I got it right
and a bake sale there were 72 raising cookies sold if the ratio of raging cookies sold to oatmeal cookie show was 9 to 1 what is the combined amount of raisin in oatmeal cookie sold
80
9 to 1 is equivalent to 72 to 8 and 72+8=80
If an urn has 5 white balls 10 red balls and 6 green balls what is the probability that 4 randomly selected balls are all green?
Answer:
5+10+6=21
4/21 = ___
Step-by-step explanation:
The probability that 4 randomly selected balls are all green will be;
"4/21 ".
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.
Given:
Number of white balls = 5
Number of red balls = 10
Number of green balls = 6
The Total number of balls = 21
Therefore, The probability that 4 randomly selected balls are all green will be;
= 4/21
Learn more about probability here;
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What is the answer to this equation? -108=8x
7. Which statements about the values of 2.044
and 20.44 are true?
Answer:
20.44>2.044
Step-by-step explanation: