Answer:
[tex]7z + 15 + 27 \\ 7z + 42 \\ z = 42 \div 7 \\ z = 6[/tex]
pls help- the question kept cutting off before:
If cos(πr) = 2 cos(πr) and 0 < r < 3, what is one possible value of r?
Answer:
r can be 0.5
Step-by-step explanation:
Here, we want to get a possible value of r
From the question, the value of r is between 0 and 3
Mathematically, we know that in degrees pi is the same as 180 degrees
In a case where we have r = 1/2
we have it that;
cos(pi/2) = 2 cos (pi/2)
Since pi/2 is 90 and cos 90 is zero; then we have it that the two sides of the equation is the same and r can be 1/2
Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?
What is the solution of ?
Answer:
x=12 is the answer
Step-by-step explanation:
[tex] \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]
[tex] \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]
[tex] \frac{10}{4} x - \frac{3}{4} x = 21[/tex]
[tex] \frac{7}{4} x = 21[/tex]
[tex]x = 21 \div \frac{7}{4} [/tex]
[tex]x = 21 \times \frac{4}{7} [/tex]
[tex]x = 3 \times 4[/tex]
[tex]x = 12[/tex]
need help asap plss!!!!
Answer:
A
Step-by-step explanation:
4x+5=33
then I solved for x and plugged in the numbers
Answer:
A
Step-by-step explanation:
4×+5=33
true.
this the true answer correct answer in first one
How many marbles do you need to be able to arrange them into the shape of an equilateral triangle with 75 rows
Answer:
2850
Step-by-step explanation:
1+2+3+4+5+6+7...74+75
just add up all the numbers from 1 to 75
Find the area of the triangle with vertices A(-3,2), B(1,-2), and c(1,3)
Answer:
[tex]A(-3,2)\: B(-1,-2)\: C(1,3)[/tex]
[tex]A=1/2[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]
[tex]=1/2[-3(-2-3)(+1(3-2)+1(2-(-2))][/tex]
[tex]=1/2(15+1+4)[/tex]
[tex]=1/2(20)[/tex]
[tex]=10[/tex]
[tex]ANSWER: 10 ~units^{2}[/tex]
------------------------------
hope it helps...
have a great day!!
The area of triangle with vertices A(-3,2), B(1,-2), and c(1,3) is 12 units^2.
What is area of triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
The green line represents the height of the triangle = 4 units
The red line represents the base of the triangle = 6 units
Area of the triangle = 1/2 x 6 x 4 = 12 units^2
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2
Solve the equation log, (3t+9) - log, 21 =1
Answer:
67
Step-by-step explanation:
log(3t+9)-log21 = 1
Applying, the law of logarithm,
log(3t+9)/21 = 1
converting the log into index
(3t+9)/21 = 10
solving for t
3t+9 = 21×10
3t+9 = 210
3t = 210-9
3t = 201
t = 201/3
t = 67
Which of the following CANNOT be assumed from this image?
Answer:
that he lines are not going strait
Step-by-step explanation:
What is the first step in solving the quadratic equation -5x^2+8=133?
taking the square root of both sides of the equation
subtracting 8 from both sides of the equation
squaring both sides of the equation
adding 8 to both sides of the equation
Answer:
Step-by-step explanation:
-5x²+8=133
-5x²=133-8
-5x²=125
x²=-25 ........... dividing 125 by -5
x=√-25..........Taking square root of -25
x=±5
Hope this might help you...
The first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -5x²+8=133
Minus five times of x square plus eight equal to one hundred thirty three.
x is the variable in the equation.
We have to solve for x
-5x²+8=133
The first step is to isolate the variable x to do this we have to subtract 8 from both sides
-5x² = 125
Divide both sides by 5
x² = -125/5
x² =-25
Hence, first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.
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The level temperature of liquid in a thermometer is 28.60 lower than the boiling point of water. What is the thermometer reading? *
Answer:
71.4 degrees Celsius or 183.4 degrees Fahrenheit.
Step-by-step explanation:
The boiling point of water is 100 degrees Celsius.
I assume you mean the liquid's temperature is 28.60 degrees Celsius lower than the boiling point of water, so 100 - 28.6 = 71.4.
Therefore the liquid is 71.4 celsius.
If you wanted the temperature in Fahrenheit, the answer is 212 - 28.6 = 183.4 degrees Fahrenheit.
Does the point (1, 3) satisfy the equation y = 5x? yes no
Answer:
Nope
Step-by-step explanation:
we can graph y = 5x as y = 5 units up and one unit to the right
but for right now let me be specific on what i mean
Specifically:
y = 5x is a Slope-Intercept equation, the original Slope-Intercept equation would be y = mx + b but in this case, we don't have b so we're focusing now on y = 5x, but what are we suppose to do with 5x??? well 5x represents the slope of the line so to graph a slope, use rise over run = rise/run. so only 5 is being used so 5 = rise/run = 5/1.
------------------------------------------------------------------------------------
Answer: (1, 3) doesn't satisfy the equation
Answer:
No, it does not satisfy the equation
Step-by-step explanation:
Hi there!
We are given the equation y=5x and we want to know if the point (1,3) will satisfy the equation
If we substitute the values of a point into the equation, and the result is a true statement (ex. 2=2), then the point satisfies the equation
If we substitute the values of a point into the equation and the result is a false statement (ex. 0=7), then the point doesn't satisfy the equation
The reason for this is because when we plug the value of a point into an equation, we're seeing if the equation will pass through that given point.
So let's substitute 1 as x and 3 as y into y=5x
3=5(1)
multiply
3=5
The result is a false statement; therefore, the point doesn't satisfy y=5x
Hope this helps!
Nathan is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 38.15 meters. He stands 32.9 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answer:
11.26 m
Step-by-step explanation:
The height of the tree is about 11.25 meters.
What are similar triangles?When the respective sides are proportional and the corresponding angles are congruent, two triangles are said to be similar.
Given that, the height of the person is 1.55 meters, the length of the tree's shadow is 38.15 meters, and the distance between the person and the tree is 32.9 meters.
Let the height of the tree be x.
Note that the scenario makes two similar triangles.
Since the ratio of the side lengths of similar triangles is proportional, it follows:
(38.15 - 32.9)/1.55 = 38.15/x
5.25/1.55 = 38.15/x
3.39 = 38.15/x
x = 38.15/3.39
x = 11.25
Hence, the height of the tree is about 11.25 meters.
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Question 1 (5 points)
Determine the value of x.
3
3V2
6
3V3
Answer:
Step-by-step explanation:
A parabola opens upward. The parabola goes through the point (3,-1),
and the vertex is at (2,-2).
Find the value of A for the parabola. Show your work. Use Part 1 and 2 to write the equation of the parabola.
Answer:
a=1
Step-by-step explanation:
Hopefully this helps :)
The equation of the parabola is: y = (x - 2)² - 2. Finding the value of A
The vertex of the parabola is at (2,-2). Since the parabola opens upward, the equation of the parabola will be of the form:
y = A(x - 2)² - 2
We can plug the point (3,-1) into this equation to find the value of A.
-1 = A(3 - 2)² - 2
Simplifying the right side of the equation, we get:
-1 = A - 2
Adding 2 to both sides of the equation, we get:
1 = A
Therefore, the value of A is 1.
Writing the equation of the parabola
The equation of the parabola is:
y = (x - 2)² - 2
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A boat has a ladder that's ten feet long, and hangs off the side of the boat,
with its last two feet submerged in water. If the ocean tide rises five feet,
how much of the ladder will be underwater?
Answer:
2ft
Step-by-step explanation:
The tide doesn't effect the part of ladder that is underwater that is always 2ft
How much of the ladder that will be underwater is 7 ft.
Since the ladder is 10 ft long and its last two feet are submerged under water, this implies that 2 ft of the ladder are submerged under water.
When the tide rises by five feet, the part of the ladder that would be under water is 2 ft + 5ft = 7ft.
So, how much of the ladder that will be underwater is 7 ft.
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e) (x + 1)/(2x ^ 3 - 4x ^ 3) + (x - 1)/(2x ^ 3 + 4x ^ 2) = 1/(x ^ 2 - 4)
Answer:
X= − x ^3 + 2 x^2 − 3 x − 2 x ^3 ( x + 2 ) ( x − 2 ) = 0
Step-by-step explanation:
P÷✓2=✓t/r+q
express t in the terms of p and q
Given:
Consider the given equation is:
[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]
To find:
The value of t in terms of p, q and r.
Solution:
We have,
[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]
It can be written as:
[tex]\dfrac{p}{\sqrt{2}}=\sqrt{\dfrac{t}{r+q}}[/tex]
Taking square on both sides, we get
[tex]\dfrac{p^2}{2}=\dfrac{t}{r+q}[/tex]
Multiply both sides by (r+q).
[tex]\dfrac{p^2(r+q)}{2}=t[/tex]
Therefore, the required solution is [tex]t=\dfrac{p^2(r+q)}{2}[/tex].
NEED HELPPPP RNNNNNNNN
To maintain a balanced diet, ensure that your food contains minimal amounts of certain ingredients. Which ingredient is missing in the sentence below?
One’s diet should include small amounts of fat, , and sugar.
Step-by-step explanation:
i think minerals and vitamins since they are micro nutrients
Find the circumference of a circle with diameter,
d
= 8cm.
Give your answer rounded to 3 SF.
Answer:
25.1 cm
Step-by-step explanation:
c = πd
c = π*8
c = 25.1327412287
Rounded
c = 25.1 cm
the temperature of a city was 26 degrees celsius on Monday the temperature rise by 2 degrees celsius on everyday upto thrusday and fell by 5 degree Celsius on Friday what was the temperature of the city on Friday
Answer: 29 degrees Celsius
Step-by-step explanation:
On Monday, Tuesday, Wednesday, and Thursday, the temperature increased by 2 degrees for a total increase of 8 degrees. Then, on Friday, the temperature decreased by 5 degrees. Since 8 - 5 = 3, the total temperature change is +3 degrees, so the answer is 26 + 3 = 29 degrees
What is the slope of the line? What is the y-intercept of the line? y = 1
Answer:
m = 0
y intercept = 1
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 1[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 0 [/tex]
[tex]\implies y - intercept= 1[/tex]
Slope of the line is 0, since y=mx+c, if m = 0, then y = c, where the constant (c)=1
y intercept of the line is y = 1.
Answered by GAUTHMATH
What are the coordinates of points E, F, and GS
A. E (2, 3), F (8,5), G (5,8)
B. E (3, 2), F (8,3), G (5,6)
C. E (3, 2), F (8,4), G (5,7)
D. E (3, 3), F (9, 4), G (6,7)
Answer:
its a i think
Step-by-step explanation:
Find the measure of Angle B
Answer:
45
Step-by-step explanation:
Both angles have the same value, therefore, you can set your formula up as
5x-105=2x+30
5x = 2x + 30 + 105
5x - 2x = 135
3x = 135
x = 135/3
x = 45
A stockbroker has kept a daily record of the value of a particular stock over the years and finds that prices of the stock form a normal distribution with a mean of $8.52 with a standard deviation of $2.38. The stock price beyond which 0.05 of the distribution falls is _________.
Answer:
$12.43
Step-by-step explanation:
Given :
Mean = $8.52
Standard deviation, = $2.38
Stock price which falls beyond 0.05 of the distribution is at the 95th percentile
The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)
We obtain the value of x, with z = 1.645
Using the Zscore relation :
Zscore = (score - mean) / standard deviation
1.645 = (score - 8.52) / 2.38
Cross multiply :
1.645 * 2.38 = score - 8.52
3.9151 = score - 8.52
Score = 8.52 + 3.9151
Score = $12.4351
Stock price beyond 0.05 is $12.43
if the sum is 4 and one of the integers is 1 what must the other integer be
Step-by-step explanation:
The answer to the question is 3
Answer:
3
Step-by-step explanation:
1 + X = 4
4 - 1 = X
3 = X
Which equation in slope-intercept form represents a line that is parallel to y=-4x-5 and passes through the points (0,0)?
Answer:
y = 0x
Step-by-step explanation:
y=-4x-b
0 = -4(0) + b
0 = 0 + b
0
HELP! how do I find the degrees for this problem
Answer:
90°
Step-by-step explanation:
m∠x+m∠y+m∠z=180°
m∠x+m∠y+90=180
m∠x+m∠y=180-90=90°
7r-15/s when r= 3 and s = 5.
Answer:
21-3=18
Hope This Helps!!!
Answer:
18
Step-by-step explanation:
7(3)= 21
15/5=3
21-3=18
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Answer:
The complete question can be found online.
The missing information is:
Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km
Remember that 1000cm^3 = 1 L
then:
100cm^3 = 0.1L
This means that he uses 0.1 L per kilometer.
The equation that shows how many liters of fuel he will have is:
initial fuel - consumed fuel.
We know that the initial fuel is 30 liters.
And the consumed fuel will be the amount of fuel he used to drive the 120 km
Remember that for each km, he consumes 0.1 L of fuel.
Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:
120*0.1 = 12 L of fuel
Then the remaining fuel in the tank is:
30 L - 12 L = 18L
There are 18 L of fuel in the tank.
Answer:
Should be 30-100/1000*120
Step-by-step explanation:
