Answer:
Your friend is correct.
Step-by-step explanation:
It is given that your friend says that you must always line up objects at the zero on a ruler. Your cousin says it does not matter.
We need to decide who is correct.
When we measure the length of any object we have to line up objects at the zero on a ruler, so that mark on the rules along the other end of the object represents the length of the object.
Let we have a pencil of length 5 cm.
If we place the rules on 0, then 5 is the mark on the rules along the other end of the pencil. So, height of the pencil is 5 cm.
If we place the rules on 1, then 6 is the mark on the rules along the other end of the pencil. So, height of the pencil is 6 cm, which is not correct.
Therefore, your friend is correct.
Please assist me with these problems and show the work. Part 1 4. From a horizontal distance of 80.0 m, the angle of elevation to the top of a fragpole is 18°. Calculate the height of the flagpole to the nearest tenth of a metre. 5. A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.
Answer:
4) About 26.0 feet
5) About 80 degrees.
Step-by-step explanation:
Please refer to the (badly drawn, sorry) drawings.
4)
So for a horizontal distance of 80 meters, the angle of elevation is 18 degrees. And we want to find the height.
The horizontal distance is adjacent to the angle, and the height is opposite to the angle. Thus, we can use the trigonometric ratio tangent.
Recall that tangent is:
[tex]\tan(x)=opp/adj[/tex]
Substitute 18 for x, h for opposite, and 80 for adjacent. Thus:
[tex]\tan(18)=\frac{h}{80}[/tex]
To solve for h, multiply both sides by 80:
[tex]h=80\tan(18)[/tex]
Use a calculator:
[tex]h\approx25.9938[/tex]
So, the height is approximately 26.0 feet.
5)
So, this time, we need to find the angle. We know the hypotenuse and the side adjacent to the angle. So, we can use cosine. Recall that:
[tex]\cos(x)=adj/hyp[/tex]
Substitute 1.5 for adjacent and 9 for the hypotenuse. Thus:
[tex]\cos(x)=\frac{1.5}{9}[/tex]
Take the inverse cosine of both sides:
[tex]x=\cos^{-1}(\frac{1.5}{9})[/tex]
Use a calculator:
[tex]x\approx80.4059\textdegree\approx80\textdegree[/tex]
So, the angle is about 80 degrees.
And we're done!
Answer:
4) About 26.0 feet
5) About 80 degrees.
Step-by-step explanation:
In a volcano, erupting lava flows continuously through a tube system about 13 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hour and calculate how long it takes to reach the sea.
Answer:
26 hours
Step-by-step explanation:
speed = distance/time
s = d/t
st = d
t = d/s
t = (13 km)/(0.5 km/h)
t = 26 h
Answer: 26 hours
Write the equation of the line in slope-intercept form.
Evaluate and simplify the following complex fraction.
Answer:
The answer is
[tex] - \frac{10}{7} \: \: \: or \: \: - 1 \frac{3}{7} [/tex]Step-by-step explanation:
[tex] \frac{ - \frac{5}{7} }{ \frac{2}{4} } [/tex]First of all we can write the fraction as
[tex] - \frac{5}{7} \div \frac{2}{4} [/tex]Simplify the second fraction
That's
[tex] \frac{2}{4} = \frac{1}{2} [/tex]So we have
[tex] - \frac{5}{7} \div \frac{1}{2} [/tex]Next change the division sign to multiplication sign and reverse the second fraction
That's
[tex] -\frac{5}{7} \times \frac{2}{1} [/tex]Multiply the terms
We have the final answer as
[tex] - \frac{10}{7} \: \: \: or \: \: - 1 \frac{3}{7} [/tex]Hope this helps you
A local pizza shop has a membership program for frequent buyers the membership cost $25 per month the members get a discount price of 150 per pizza slice Aaliyah purchased a membership to this pizza shop how much would a Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month what would be the monthly cost for a slice of pizza
This question was not written properly
Complete Question
A local pizza shop has a membership program for frequent buyers the membership cost $25 per month the members get a discount price of $1.50 per pizza slice. Aaliyah purchased a membership to this pizza shop , how much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?
What would be the monthly cost for a slice of pizza?
Answer:
a) $34
b) $26.50
Step-by-step explanation:
From the question:
Membership for frequent buyers in a month = $25
Discount price = $1.50 per pizza slice
a) How much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?
This is calculated as:
Membership cost in a month + Discount price × Number of pizzas bought
= $25 +( $1.50 × 6 slices of pizza)
= $25 + $9
= $34
b) What would be the monthly cost for a slice of pizza?
This is calculated as:
Membership cost + Discount price × Number of slices
= $25 + $1.50 × 1
= $26.50
The sale price of a new refrigerator is $648 and sales tax is figured at 0.10 times the price. What is the total amount paid for the refrigerator?
Answer:
$712.80
Step-by-step explanation:
648×0.10=64.8
648+64.8=712.8
The total amount paid for the refrigerator is $712.8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Sale price = $648
Sales tax = 0.10 times the price
The total amount paid.
= 648 + 0.10 x 648
= 648 + 64.8
= 712.8
Thus,
The total amount paid is $712.8.
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Why is the answer for letter b 9?
Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).
Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.
For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.
Step-by-step explanation:
From x=0 to x=1, the function is above the x-axis, so the area is positive.
From x=1 to x=5, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.
From x=5 to x=9, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.
Since the area increases in each interval, the area is a maximum at x=9.
Write a numerical expression for the verbal phrase. The quotient of 81 and 3.
A. 3÷81
B. 27
C. 81÷3
D.81×3
Answer:
C. 81÷3
Step-by-step explanation:
We want to write a numerical expression for the phrase: "the quotient of 81 and 3"
Quotient indicates division, so we must divide 81 by 3.
81÷3
This can be further simplified, but the questions asks for a numerical expression. This is defined as an expression with numbers and at least one operation. So, B is correct, because 81 divided by 3 is 27, but it is not a numerical expression.
Therefore, the best answer choice is C. 81÷3
Name the coordinate of P(-5, 8) under a translation along the
(x+2, y -1)
There are two numbers which add up to 20. If one number is five more than four times the other, find the numbers.
Answer:
3 and 17
Step-by-step explanation:
Let x and y represent the numbers.
x + y = 20 . . . . . . . . the numbers add up to 20
x = 5 + 4y . . . . . . . . one number is 5 more than 4 times the other
Substituting the second equation into the first:
(5 +4y) +y = 20
5y = 15 . . . . . . . . . . subtract 5
y = 3 . . . . . . . . . . . . divide by 5
x = 20 -3 = 17
The numbers are 17 and 3.
how do i do linear functions?
Answer:
1. Substitute the value of f(x) into the problem. 8=3x-1.
2. Isolate the variable. Add 1 to both sides to isolate the variable term by using the opposite operation to move the constant term across the equal sign. ...
3. Continue to isolate the variable. ...
4. Simplify.
Step-by-step explanation:
7 - 5 + 14 / 2 + 6. workings pls
Answer:
15
Step-by-step explanation:
PEMDAS
7-5+14/2+6
14/2=7
7-5=2
6=6
7+2+6=15
[tex]\text {Hello! To answer this question you must...}[/tex]
[tex]\text {Subtract:}[/tex]
[tex]\text {7-5=2}[/tex]
[tex]\text {Divide:}[/tex]
[tex]\text {14/2=7}[/tex]
[tex]\text { Your new equation should be 2+7+6}[/tex]
[tex]\text {Now for the final step you add}[/tex]
[tex]\text {2+7+6=}[/tex]
[tex]\fbox {15}[/tex]
[tex]\text {Bext of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points. 90 ÷ [ 10 + ( 3 2 − 4 ) ]
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression when simplified is equal to 2.3684.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As per the PEMDAS, we will first solve the parenthesis. Since the round parenthesis is solved first, therefore, we can write,
90 ÷ [10 + ( 32 − 4 )]
= 90 ÷ [10 + (28)]
= 90 ÷ [10 + 28]
Solving the next parenthesis, therefore, the square brackets,
= 90 ÷ [10 + 28]
= 90 ÷ 38
At last, we will solve the division, therefore, we can write,
= 90 ÷ 38
= 2.3684
Hence, the value of the expression when simplified is equal to 2.3684.
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Solve for the variable!
1. 2x + 21 = 40
2. 4x - 12 = 3x + 9
3. 3(x -1) + 2 = 7x
Step-by-step explanation:
1. 2x + 21 = 40
2x = 40 - 21
2x = 19
x = 19/2 = 9.5
2. 4x - 12 = 3x + 9
4x - 3x = 9 + 12
x = 21
3. 3x - 3 + 2 = 7x
3x - 1 = 7x
-1 = 7x - 3x
-1 = 4x
4x = -1
x = -1/4
= - 0.25
what is the difference between 585 and -8
Answer:
593
Step-by-step explanation:
when you are subtracting a negative it is the same as adding
PLS ANSWER FAST!! CORRECT ANSWER GETS BRAINLIEST!!!!
Solve the formula 2x+3y=12 for y.
Answer:
y=4 - [tex]\frac{2x}{3}[/tex]
Step-by-step explanation:
The value of y for 2x + 3y = 12 is (12 - 2x) / 3.
Given,
2x + 3y = 12
We will solve for y.
How to solve an equation for a variable?We will keep the like terms on one side of the equation and solve for the required variable.
Example: x + 2x + y = 3 + 2y
Solve for y:
x + 2x + y = 3 + 2y
3x = 3 + 2y - y
3x - 3 = y
3(x - 1) = y
y = 3(x - 1) is our answer.
Solve 2x + 3y = 12 for y.
We have,
2x + 3y = 12
Keep y on one side of the equation.
3y = 12 - 2x
Divide both sides by 3.
y = (12 - 2x) / 3
Thus the value of y for 2x + 3y = 12 is (12 - 2x) / 3.
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Mrs. Yakubov needs to distribute 4 colored pencils and 3 glue sticks to the 6 tables in her classroom. Which expression represents the number of materials being distributed this situation? 6(4 + 3) 4(3 + 6) 3(4 + 6)
Answer:
[tex]6(4 + 3)[/tex]
Step-by-step explanation:
Given
Pencils = 4
Glue = 3
Required
Distribute these to 6 tables
Represent the pencils with P and Glue with G
The distribution to 6 tables will be:
[tex]6P + 6G[/tex]
Apply distributive property
[tex]6(P + G)[/tex]
Substitute values for P and G
[tex]6(4 + 3)[/tex]
Hence, the first option answers the question
Which fractions are equivalent to 6/8 ? Check all that apply.
1/4
2/8
4/16
3/4
12/16
Answer:
3/4
Step-by-step explanation:
you got to find the half of the number
What is 31 1/2 divided by 3 1/2
Answer:
9
Step-by-step explanation:
used a calculator
The sum of y and 13 divided by 2
Answer:
7.5
Step-by-step explanation:
Select the correct answer for each statement. (k+2, k+3 , k+4) or (k+10, k+12, k+14) will yield consecutive odd integers. (k+6, k+8 , k+10) or (k+1, k+2, k+3) will yield consecutive integers.
Answer:
Step-by-step explanation:
one
The only really certain way of getting an odd integer is to do 2k + 1. Therefore the answer should be something like 2k+1, 2k+3, 2k + 5
The best I can do for the first one is to assume that k is odd and that the answer is k + 10, k+12, k+14, but I would ask your instructor if this is merely the best answer out of a poor lot or if the question really has no answer.
Two things should be noted.
1. k has to be odd.
2. The first choice has to give consecutive integers because what is added on is 2 3 and 4. Those numbers are consecutive.
Two
k+1, k+2, k+3. See point 2 above. k is a constant and any number. 1,2,3 are consecutive so the results are consecutive. Even if k < 0 the numbers will be consecutive.
k= - 10
k+1 = - 9
k+2 = -8
k+3 = - 7
These are consecutive.
Your first choice will give either consecutive odd or even numbers depending on what k is.
If k = even, then k+6, k+ 8, k+10 will all be even.
If k = odd then the givens will be odd.
2k+9, 2k+11, 2k+13 will yield consecutive odd integers.
k+6, k+8, k+10 will yield consecutive integers.
if 5a + 2b + 6c 32, what is the value of c?
Answer:
c= (-5a-2b+32)/6
Step-by-step explanation:
this is the answer, but you will b=have to a little more work to figure out each variable so you can get a number
Determine the 3rd term in the geometric sequence whose first term is -8 & whose common term is 6
Answer:
so the formula for finding the n th term in a geometric sequence is :
(first term) * [tex](Common Term)^{n-1}[/tex]
therefore:
the 3 rd term will be
(-8) * (6)^2
-8 * 36
-288
Solve for x
9- 2y + 8y – 7 = -22
Answer:
-4
Step-by-step explanation:
-4
Step-by-step explanation:
Is the answer (-1,1)???
Answer:
yes
Step-by-step explanation:
Answer:
(1 , -1)
Step-by-step explanation:
7( 1 ) - 3( -1 ) = 10
7 - - 3 = 10
7 + 3 = 10
10 = 10
true
Resuelve las siguientes situaciones problemáticas: A) en una caja de 36 naranjas, si se han descompuesto, ¿qué parte del contenido de la caja se desperdicia? B) mi hermana hizo una pizza y la dividió en 8 porciones, si mi papá, mi hermano y mi tía comieron una porción cada uno, ¿qué la parte de la pizza queda?
Answer:
gdjlicnoirfbmlyrsrloydfbm
Tenemos dos problemas de proporciones.
Las soluciones son:
A) p = 6/36 = 1/6B) p = 5/8.A) Lamentablemente el primero está incompleto, lo reescribamos como:
"en una caja de 36 naranjas, si 6 se han descompuesto, ¿qué parte del contenido de la caja se desperdicia?"
Solo para mostrar la matemática que se necesita para este tipo de problemas.
La parte que del contenido de la caja que se desperdicia será igual al cociente entre el número de naranjas que se desperdician y el número total de naranjas, o sea:
p = 6/36 = 1/6
Se desperdicia 1/6 del contenido de la caja.
B) Sabemos que la pizza originalmente tiene 8 porciones.
Luego tu papá, hermano, y tía comen una porción (3 en total)
Entonces quedan: 8 - 3 = 5 porciones.
La parte que queda será el cociente entre lo que queda y la cantidad inicial, o sea:
p = 5/8.
Quedan 5/8 de la pizza.
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If h(x)= 4(x + 6), what is the value of h(4)? a 16 b -5 c 32 d 40
Answer:
40
Step-by-step explanation:
h(x)= 4(x + 6)
Let x=4
h(4)= 4(4 + 6)
= 4(10)
= 40
Answer:
D
Step-by-step explanation:
So we have the function:
[tex]h(x)=4(x+6)[/tex]
To find h(4), substitute 4 for x. Thus:
[tex]h(4)=4(4+6)[/tex]
Add within the parentheses:
[tex]h(4)=4(10)[/tex]
Multiply:
[tex]h(4)=40[/tex]
The answer is D.
And we're done!
Write an equation with a slope of -7 and a y-intercept of (0,4)
Answer:
Step-by-step explanation:
y - 4 = -7(x - 0)
y = -7x + 4
A faucet leaks water at a constant rate of 58 quart every 15 minutes.How many quarts does the faucet leak per hour?
Answer:
232 quarts
Step-by-step explanation:
58 quarts per 15 minutes, so 15 minutes x4 is an hour, so you would also do 58x4 which gets your answer of 232 quarts
Hope this helped :)