Answer:
Step-by-step explanation:
Parallel lines
Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart. Algebraically determine the x-value of where the beam should be placed. Explain where to place the beam.
Answer:
Graph the two struts on the model of the roller coaster. Take a screenshot of your graph and paste the image below, or sketch a graph by hand. (5 points)
Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.
•
• Algebraically determine the x -value of where the beam should be placed. (15 points)
root(x + 8) = 2 + rootx − 4)
x + 8 = 4 + 4root(x − 4) + x − 4
8 = 4root(x − 4)
2 = root(x − 4)
x − 4 = 4
x = 8
• Explain where to place the beam. (10 points)
The beam should be places 8 feet apart.
Step-by-step explanation:
I don't have a graph. Correct on E2020
Hope that this helps. If someone finds a graph i have a question on my page that needs it
Peace and love
Answer:
Here is the missing graph.
Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon's age and j + 3 represents Laura's age, what value of j
could be Jon's age?
Answer:
35
Step-by-step explanation:
j(j + 3) = 1330
Trial and error method:
j and j + 3 are pretty close to each other. Start by taking the square root of 1330.
sqrt(1330) = 36.5. One number is less than 36.5 and the other number if 3 more than that.
Since the product of j and j + 3 is 1330 which ends in 0, it is a multiply of 10 and 5.
Try 35 and 38. 35 * 38 = 1330
Answer: 35
Equation method:
j(j + 3) = 1330
j^2 + 3j - 1330 = 0
(j + 38)(j - 35) = 0
j = -38 or j = 35
Answer: 35
If Jon is 3 years younger than Laura, then Jon's age is 35years.
Let the age of John be j
If Jon is 3 years younger than Laura, then;
Laura's age = j + 3
Based on the question, we are told that the product of their ages is 1,330, this can be expressed as:
j(j+3) = 1330
Expand
j²+3j = 1330
j²+3j - 1330 = 0
j²+38j-35j-1330 =0
j(j+38)-35(j+38) = 0
(j−35)(j+38) = 0
j = 35 and j = -38
j = 35
Hence Jon's age is 35years.
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Solve for x: 3x+y=5x-y
Answer: x= y
Step-by-step explanation:
3x + y =5x -y Subtract 5x from both sides
-5x -5x
-2x + y = -y Now subtract y from both sides
-y -y
-2x = -2y Now divide both sides by -2
x = y
The vector parametric equation for the line through the points (−1,−4,2) and (−1,0,−3) is:_______
Answer: [tex]x(t)=-1[/tex]
[tex]y(t)=-4+4(t)[/tex]
[tex]z(t)=2-5(t)[/tex]
Step-by-step explanation:
To find: The vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3).
Let A (−1,−4,2) and B(−1,0,−3)
First we find direction vectors : [tex]\overrightarrow{AB}=<-1-(-1),0-(-4),-3-2>[/tex]
[tex]<0,4,-5>[/tex]
Now, the parametric equations of the line:
[tex]x(t)=-1+0(t)[/tex]
[tex]y(t)=-4+4(t)[/tex]
[tex]z(t)=2-5(t)[/tex]
Hence, the vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3):
[tex]x(t)=-1[/tex]
[tex]y(t)=-4+4(t)[/tex]
[tex]z(t)=2-5(t)[/tex]
A marble is drawn at random from a box containing 10 red, 30 white, 20 blue, and 15 orange marbles. Find the probability that it is (a) orange or red, (b) not red or blue, (c) not blue, (d) white, (e) red, white, or blue
Step-by-step explanation:
given data:
total marbles = 75
red marble = 10
white marble = 30
blue marble = 20
orange marble = 15
solution:
a. Probability of drawing an orange or red
= 15/75 + 10/75
= 1/3
b. probability of not drawing a red or blue
= 1 - 20+10/ 75
= 3/5
c. Not blue
= 1 - p
= 1 - 20/75
= 11/5
d. Probability of drawing a white
= 30/75
= 2/5
e = red, white or blue
= 10/75 + 30/75 + 20/75
= 4/5
Answer:
Step-by-step explanation:4/5
In the past, 75% or less of the tourists who visited Tacoma went to see the glass blowing museum. The management of the museum recently undertook an extensive promotional campaign. They are now interested in determining whether the promotional campaign actually increased the proportion of tourists visiting the museum. The correct set of hypotheses is
Answer:
H0 : p ≤ 0.75 against Ha : p > 0.75
Step-by-step explanation:
We formulate our null and alter native hypotheses as
H0 : p ≤ 0.75 against Ha : p > 0.75
In the question the claim whether the promotional campaign actually increased the proportion of tourists visiting the museum is given which is formulated as alternative hypothesis.
So when we formulate the alternative hypothesis as Ha : p> 0.75 the null hypothesis is H0 p ≤ 0.75
Where p is the probability = 75% = 75/100 = 0.75
Use an integer to represent 35 degrees Celsius. Answer fast, I will give brainliest.
Answer: Hi! The answer you're looking for is 35
An integer is a positive or negative whole number. Since we're looking at +35 degrees (I put the plus for perspective; it's positive), the integer for the question would be 35.
If this was 35 degrees below 0, it would be -35.
Hope this helps!
I have 30 ones 2thousands 4hundred thousands , 60 tens and 100 hundreds what number am I ?
Answer:
Step-by-step explanation:
Units = 30
Thousands = 2,000
Hundreds of Thousands = 400,000
Tens = 60
Hundreds = 100
HTHHTU
400,000
2,000
100
60
30
402,190
The value of each digit in a number is known as the place value. The number is 412,630.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10.As per the given statement, the part of the numbers can be written as,
30 ones = 30 × 1 = 302 thousands = 2 × 1,000 = 2,0004hundred thousands = 4 × 100,000 = 400,00060 tens = 60 × 10 = 600100 hundreds = 100 × 100 = 10,000Now, summing up all, we will get the number,
Number = 30 + 2,000 + 400,000 + 600 + 10,000
= 412,630
Hence, the number is 412,630.
Learn more about the Place Value here:
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2. Which numbers are divisible by 3?
36
525
73
795
317
84
Answer:
36, 525, 795, and 84
Step-by-step explanation:
36/3=12
525/3=175
795/3= 265
84/3=28
The blue and orange lines represent a system. Use the sliders to manipulate the orange line to determine which equations would create a system that has no solution.
Answer: A/D/E
Step-by-step explanation:
2x + y = -5
-2x = y
2x = 4 - y
separate the number 18 into two parts where the product of the part is 77
Answer:
7 and 11.
Step-by-step explanation:
so if we say the 2 "parts" are "a" and "b" then we are left with 2 equations
a + b = 18
ab = 77
a = 18 - b
so if ab = 77
b (18 - b) also equals 77
so
-b^2 + 18b = 77
b^2 - 18b + 77 = 0
So b = 7 and 11
You could also solve this via trial and error, but this is a more analytical approach.
What would be the coordinate of point Lif the figure was shifted 2 units
left and 4 unit up?"
Answer: D. (-2, 1)
Step-by-step explanation:
original coordinate of L: (0, -3)
2 units left: x-2
4 units up: y+4
(x-2, y+4)
=(0-2, -3+4)
=(-2, 1)
Hope this helps!! :)
A florist sells 3 similar bouquets of flowers for $78. What is the cost per bouquet?
Answer:
$26
Step-by-step explanation:
Divide 78 by 3, which will get you 26 dollars per bouquet!
Answer:
Cost per bouquet is $26.
Step-by-step explanation:
You take the total cost of all three bouquets and divide them by the number of bouquets. 78/3 = 26.
On her first week of summer Kelly teacher gave her 694 used markers 78 of those markers were out of ink and she gave 136 markers to a friend. How many useable markers does kelly have after her first week of summer
Answer:
480 markers
Step-by-step explanation:
694 - (78+136) =
694 - 214
= 480 markers
Answer:
694 - 78 = 616, then you take 616 - 136 = 480 total markers left.
(out of ^ ink) (the ones she ^ gives to her friend)
Step-by-step explanation:
480 markers are left for her first week of summer! hope this helps, good luck!
Alice works for a paint manufacturer. She is paid 3% commission on her first $20,000 of monthly sales and 8% commission on all sales over $20,000. In March her sales were $54,500; in April, her sales totaled $47,300. What were the total commissions she earned for the 2 months?
Answer: $6,144
Step-by-step explanation:
In March her commission was;
= 3% * 20,000 + 8% ( 54,500 - 20,000)
= $3,360
In April;
= 3% * 20,000 + 8% ( 47,300 - 20,000)
= $2,784
Total commission
= 3,360 + 2,784
= $6,144
12'
Given that tan x =
sin x + cos x?
î, what is the value of
(WAEC]
Answer:
[tex] \tan(x) = \sin(x) + \cos(x) [/tex]
Sorry but your question is not too explanatory but I sure hope this helps
Uma folha de papel foi dobrada como mostra o esquema abaixo. Determine o valor do ângulo alfa.
Answer:
[tex]\alpha = 35º[/tex]
Step-by-step explanation:
Primeiro, vamos dizer que essa folha tem extremidades nos pontos [tex]A, B, C, D[/tex].
E vamos chamar os vértices do triângulo que contém o ângulo [tex]\alpha[/tex] de [tex]E, F, G[/tex].
Na semireta de baixo, formada por [tex]DC[/tex], a gente tem um ângulo de [tex]70º[/tex] e um outro ângulo de [tex]90º[/tex] (porque ele indica um ângulo reto).
Vamos dizer que estes dois ângulos se encontram no ponto [tex]E[/tex], que combinamos antes, como vértice (extremidade) do triângulo de cima.
Como os dois ângulos, estão num mesmo ponto, [tex]E[/tex], podemos dizer que existe um terceiro ângulo para o qual sua soma seja [tex]180º[/tex]. E tem, seria o ângulo à esquerda de
Vamos chamar este ângulo de [tex]\beta _{I}[/tex]. Portanto:
[tex]\beta _{I} + 90º + 70º = 180º\\\beta _{I} = 180º - 160º\\\beta _{I} = 20º[/tex]
Agora, temos um outro triângulo no canto inferior esquerdo da folha, cujos ângulos são [tex]\beta x_{I}[/tex], [tex]90º[/tex] e um outro ângulo, que vamos chamar de [tex]\beta x_{II}[/tex]
Esse último vai ser o ângulo superior deste triângulo, tá legal?
Então, vamos ter que:
[tex]\beta _{I} + 90º + \beta _{II} = 180º\\\beta _{I} + \beta _{II} = 90º\\[/tex]
Como [tex]\beta _{I} = 20º[/tex],
[tex]\beta _{I} + \beta _{II} =20º + \beta _{II}[/tex]
[tex]20º + \beta _{II} = 90º\\\beta _{II} = 90º - 20º\\\beta _{II} = 70º[/tex]
Ou seja, o ângulo superior do triângulo no canto inferior esquerdo, é 70º.
Vamos concordar, que este mesmo triângulo tem vértices nos pontos [tex]F, D, E[/tex]. Onde [tex]F[/tex] é o ponto superior, [tex]D[/tex] é a extremidade inferior esquerda do retângulo e [tex]E[/tex] é aquele mesmo ponto em que se encontram os ângulos de [tex]90º[/tex]e [tex]70º[/tex].
Mais à frente, você vai entender o porquê é importante nomear estes pontos, eu fiquei 40 minutos tentando fazer essa questão sem fazer isso e não conseguia porque empacava numa parte da resolução.
Então, agora, sabemos que o ângulo [tex]\beta _{II}[/tex], que é o encontro dos seguimentos [tex]FD[/tex] e [tex]EF[/tex] vale [tex]70º[/tex].
Até aqui, foi só aplicar propriedades. Mas, a partir desse ponto, você vai precisar usar a criatividade.
Então, você entende que o ângulo [tex]\beta _{II}[/tex] está inserido numa reta com outros dois ângulos concentrados no ponto [tex]F[/tex].
Então, pode dizer que esse ângulo externo é o suplemento de [tex]\beta _{II}[/tex].
Vamos chamar todo ele de [tex]\beta _{III}[/tex]
[tex]\beta _{II} + \beta _{III} = 180º\\70º + \beta _{III} = 180º\\\beta _{III} = 180º - 70º\\\beta _{III} = 110º[/tex]
Agora, vamos elevar o nível de criatividade no raciocínio e ver também que temos um quadrilátero formado pelos pontos [tex]A, G, F, E[/tex]
A soma dos ângulos de qualquer quadrilátero é 360º.
E temos que esse mesmo quadrilátero é formado por dois ângulos retos, além do ângulo de 110º que calculamos.
A última extremidade que falta é um ângulo formado pela soma de [tex]\alpha[/tex] a um outro ângulo, que vamos chamar de [tex]\beta _{IV}[/tex].
Então, temos que:
[tex]90º + 110º + 90º + \alpha + \beta _{IV} = 360º\\\alpha + \beta _{IV} +290º = 360º\\\alpha + \beta _{IV} = 360º + 290º\\\alpha + \beta _{IV} = 70º\\[/tex]
De todas, as etapas dessa resolução essa é a mais importante de entendermos os pontos que definimos. Eu refiz ela várias vezes porque não fiz isso antes.
Mas, veja, quando a gente dobra a folha, pegamos um formato qualquer e destacamos do resto dela.
Isso quer dizer que o formato que ficou dobrado é o mesmo que falta na folha. Do contrário, estaríamos criando folha ou excluindo matéria, o que não é possível no caso de uma simples dobra.
Em outras palavras, os triângulos [tex]AGF[/tex] e [tex]EFG[/tex] são os mesmos. (Eu recomendo que você construa esse desenho e coloque as letras em cada ponto, pra visualizar melhor.)
Isso é o mesmo que dizer que os ângulos de um vão ser os ângulos do outro.
Portanto, os ângulos são equivalentes. (Mesmos ângulos para ambos os triângulos, mudando só de posição.)
Assim, você pode afirmar que [tex]\alpha[/tex] = [tex]\beta _{IV}[/tex]
Se subirmos um pouco a resolução, vamos lembrar que encontramos que [tex]\alpha + \beta _{IV} = 70º\\[/tex]
Se [tex]\alpha = \beta _{IV}[/tex]
Temos:
[tex]\alpha + \alpha = 70º\\2\alpha = 70º\\\alpha = \frac{70º}{2} \\[/tex]
e TCHARAAN!
[tex]\alpha = 35º[/tex]
-------------------------
Força, guerreiro(a). Sucesso e que Deus te abençoe nos estudos.
If a family eats out 4 nights a week, what is the ratio of eating out nights to not eating out nights per week?
Answer: 4:3
eats out : not eating out
Step-by-step explanation:
so theres 7 days in a week so you do simple subtraction and do 7-4=3
then you get the remaining days of the week that you dont eat out.
what is the image point of ( -5,0 ) after a translated left 2 units and down 3 units ?
all areas of the country use a BAC of .10 as the legal intozication level . is it possible that the mean BAC of all drivers involved in a fata accident
Answer:
The answer is "It is not highly probable".
Step-by-step explanation:
In the given question some data is missing, that's why first we define value than its solution:
Missing value:
[tex]\bar x= 0.15\\\\s=0.06[/tex]
Solution:
[tex]\to \ H_0 : \mu \leq 0.10\\\to H_1: \mu > 0.10[/tex]
Formula:
[tex]Z= \frac{x-\mu}{s}\\\\[/tex]
[tex]=\frac{0.15- 0.10}{0.06}\\\\=\frac{0.05}{0.06}\\\\=\frac{0.05}{0.06}\\\\=.833\\[/tex]
calculating the value of x:
formula:
[tex]x=X(Z>z)[/tex]
[tex]=0.833-0.841\\\\=-0.008[/tex]
An electric heater takes 8 minutes to heat an entire apartment to the desired temperature. A wood stove and an electric heater together take 6 minutes to heat the apartment. How many minutes does it take the wood stove alone to heat the apartment to the desired temperature?
Answer:
2 minutes
Step-by-step explanation:
Time taken by the electric heater = 8 minutes
Time taken by the heater+ stove = 6 min
8+time taken by the stove =6 min
Time taken by the stove alone to heat the house = 8-6= 2 minutes
A bank withdraw of $50
Answer:
-$50 lol
Step-by-step explanation:
Hi :)
To find your balance after you withdraw $50, simply take your balance, and subtract $50
balance-withdraw=balance
Hope this helps,
Jeron
a/3=−18 (a/3 is a fraction)
Answer:
Hey there!
a/3=-18
a=-54
Let me know if this helps :)
What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10
the answer is c hope this help's
NOT THE SAME 1 FROM BEFORE
Answer:
B. 40 ≤ e ≤ 100
Step-by-step explanation:
In a function, the domain values are the independent variables, and are always plotted on the x-axis, while the range values the dependent variables, which are always plotted on the y-axis on a graph.
From the graph given, it shows that f is a function of e. Which is, [tex] e(f) [/tex].
Therefore, the range of the function would be: B. 40 ≤ e ≤ 100
Find the value of the expression 63 - 21 + (3 x 11)
Answer: First solve the parentheses using order of operations. Then add and subtract from left to right.
Demo:
(3 * 11) = 33
Equation now looks like:
63 - 21 + 33
63 - 21 = 42
Equation now looks like:
42 + 33
42 + 33 = 75
The value of this expression is 75.
Answer:
Step-by-step explanation:
SOMEONE PLEASE HELP ME(picture is added!)
Given: circle A extremely tangent to circle B
Answer:
line r
Step-by-step explanation:
Given that circle A is externally tangent to Circle B
line AM is perpendicular to line r
Mike earned $3500 last month. His employer deducted one-eighth of that amount for taxes. Mike also had $90 out of
what was left taken out for an automatic savings plan. How much money, to the nearest cent, did Mike have left after
these deductions?
Answer:
2972.5
Step-by-step explanation:
3500*7/8 - 90 = 2972.5
whats the answer to 4c+5=27
Answer:
Hey there!
4c+5=27
4c+5-5=27-5
4c=22
c=5.5
Let me know if this helps :)
Answer:
c = 5.5
Step-by-step explanation:
4c + 5 = 27
Subtract 5 from both sides:
4c + 5 - 5 = 27 - 5
4c = 22
Divide the equation by 4:
4c / 4 = 22 / 4
c = 5.5
PLEASE HELP ME, I DON'T UNDERSTAND! :(
Answer:
(x + 1) (x + 2) / 2
Step-by-step explanation:
(x² − 4x − 5) / (x − 2) ÷ (2x − 10) / (x² − 4)
To divide by a fraction, multiply by its reciprocal.
(x² − 4x − 5) / (x − 2) × (x² − 4) / (2x − 10)
Factor.
(x − 5) (x + 1) / (x − 2) × (x − 2) (x + 2) / (2 (x − 5))
Reduce.
(x + 1) × (x + 2) / 2
(x + 1) (x + 2) / 2