Answer:
D) 8Step-by-step explanation:
Given trinomial:
x² - bx + 16It has two perfect squares and a variable with negative coefficient.
It can be representing a:
(m - n)² = m² - 2mn + n²If we substitute m with x and n with 4, we'll get 2mn = 2*x*4 = 8x.
This gives us b = 8
(x - 4)² = x² - 8x + 16plz plz heelp me i need heelp
Question 5 - Last night 20 mm of rain fell in 4 h. If it continues raining at the same rate, how
long will it take for 45 cm of rain to fall?
Answer:
Step-by-step explanation:
45 divided by two
Someone please help me
Answer:
,
Step-by-step explanation:
all work shown and pictured
Give the digits in the hundred thousands place and the ten thousands place.
746,089
Answer:
Hundred thousands - 7
Ten Thousands- 4
Step-by-step explanation:
The difference between
five-halves of a number and 17 is 48
Answer:
31, the five halves of is 6.2
Step-by-step explanation:
Log2(x-1)+Log2(x+2) =2
Find X
Hello can someone please help me with this
Answer:
I would assume it is c. 1, because of rounding, but I'm only 70% sure.
If 20% of the students were boys, what fraction were girls?
Answer:
Girls are 4/5 of the students.
Step-by-step explanation:
boys + girls = 100% of students.
If 20% of the students are boys then 80% are girls
80% = 80/100 = 4/5
6x+3>15 solve for a please
Answer:
x>2
Step-by-step explanation:
1) 6x+3 > 15
2) 6x > 15-3
3) 6x > 12
4) x > 12÷6
5) x > 2
A cooking pot holds 35 liters of water. This is 7 times the amount of water a mixing bowl can hold.
How much water can the mixing bowl hold?
A. 5 liters
B. 7 liters
C. 28 liters
D. 245 liters
Answer is A :) just simply divide 35 and 7 and you get 5!
answer .
5
explanation.
simple just 35 divide by 7
Lcd of 4/5 , c/7 where c=3
Answer:
35
Step-by-step explanation:
The variable r is directly proportional to the square of t, and r = 144 when t = 72.
Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.)
Using the given data, solve for the variation constant k.
Answer:
k=0.023
Step-by-step explanation:
[tex]r \alpha {t }^{2} \\ r = k {t}^{2} \\ 144 = k \times {72 }^{2} \\ k = \frac{144}{ {72 }^{2} } \\ k = 0.023 \\ the \: eqn \: is \: therefore \\ r = 0.023 \times {t}^{2} [/tex]
The equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, the variable r is directly proportional to the square of t
Now, r∝t
r=kt
Here, r =144 when t =72
Thus, 144=k×72
k=2
Therefore, the equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
To learn more about the proportional relationship visit:
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Question 6: 17 pts
Identify the parent function for the function g(x) = x2 - 4 based on its function rule.
Then graph g and identify the transformation of the parent function that it
represents.
linear; translation up 4 units
quadratic; translation up 4 units
quadratic; translation down 4 units
O
linear; translation down 4 units
Answer:
Parent function is g(x) = x² a quadratic
Step-by-step explanation:
quadratic; translation down 4 units
-4 means the vertex will move down 4
The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.
The given function is g(x)=x²-4.
What is the parent function?A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.
Quadratic; translation down 4 units:
The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)² + k, where a ≠ 0.
The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.
To learn more about the parent function visit:
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Malachi took cans to the recycling plant and put them into the can-crusher one at a time. After he had already crushed some of the cans, he started recording the number of cans he crushed per minute. This table shows how many cans Malachi put in the can-crusher at different times.
Time (min): 2 , 4 , 6 , 8
Number of cans crushed: 4 , 9 , 64 , 79 , 94
What is the equation that represents Malachi’s situation, where x represents the time and y represents the number of cans crushed?
Answer:
it is 793
Step-by-step explanation:
Dry Clean USA has finished cleaning 30% of their 730 orders. How many orders do they still need to finish cleaning?
Step-by-step explanation:
100% = 730
1% = 100%/100 = 730/100 = 7.3
30% = 1% × 30 = 7.3 × 30 = 219
so, they finished 219 of their 730 orders.
that leaves 730 - 219 = 511 orders still to be finished.
For a project in his Geometry class, Ryan uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 12.15 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. He then walks 3.4 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.35 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
9514 1404 393
Answer:
4.82 m
Step-by-step explanation:
The mirror reflects light at the same angle the light hits it, so the triangles formed by the line of sight, the ground, and the objects involved are similar. This means corresponding lengths are proportional.
height/mirror distance = T/12.15 = 1.35/3.4
Multiplying by 12.15, we find the top of the goalpost to have a height of ...
T = 12.15(1.35/3.4) ≈ 4.82 . . . meters
The goalpost is about 4.82 meters high.
PLEASE HELP! Economics
Answer:
B
Step-by-step explanation:
hope it helps, and im finding another question
Answer:
B. a German citizen
Step-by-step explanation:
I think I'm not sure.
What equals 10³ I need to know
Answer:
1,000
Step-by-step explanation:
10 x 10 x 10 = 1,000
1000
Step-by-step explanation:
10³
=10×10×10
1000
There are 594 calories in six ounces of a certain ice cream. How many calories are there in two pounds?
1 pound=16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of calories for?
Answer:
3,168 cal= 2lbs of Ice Cream
Step-by-step explanation:
I need to fin how many calories are in two pounds of that ceratin ice cream.
594cal/6=99cal
99cal=1 oz
16oz x 2 = 32oz
99 x 32 = 3,168 cal
There is 3,168 cal in two pounds of ceratin ice cream.
June, Gavyn and Alex share some sweets in the ratio 5:3:2. June gets 42 more sweets than Alex. How many sweets does Gavyn get?
Answer:
42 sweets
Step-by-step explanation:
The ratios are 5 : 3 : 2 = 5x : 3x : 2x (x is a multiplier )
June gets 42 more sweets than Alex , then
5x = 2x + 42 ( subtract 2x from both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Gavyn = 3x = 3 × 14 = 42 sweets
Answer:
42 sweets.
Step-by-step explanation:
First work out the number of parts:
5 + 3 + 2 = 10.
So June gets 5/10 = 1/2 of the sweets.
Alex gets 2/10 = 1/5.
Gavyn gets 3/10.
If the total number of sweets was x, then:
1/2 x - 1/5 x = 42
5/10x - 2/10 x = 42
3/10 x = 42
x = 42*10/3 = 140.
So Gavyn has 3/10 * 140 = 42.
(b) Notice that x=0.5 meter when θ = 45o. By approximately how many radians should you increase θ if you want the x coordinate of the point R to decrease to x = 0.45 meters? Use the tangent line approximation.
The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].
Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles ([tex]\theta_{1}[/tex], [tex]\theta_{2}[/tex]), in radians, of the figure:
Initial triangle
[tex]\tan \theta_{1} = \frac{y_{1}}{x_{1}}[/tex] (1)
Final triangle
[tex]\tan \theta_{2} = \frac{y_{2}}{x_{2}}[/tex] (2)
By using (2), the equivalence [tex]\theta_{2} = \theta_{1}+\Delta \theta[/tex] and trigonometric identities we have the following expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}[/tex] (3)
By (1), we simplify the expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}[/tex] (3b)
If [tex]0 \le \Delta \theta \le \frac{\pi}{6}[/tex], then we can use the following approximation:
[tex]\tan \Delta\theta \approx \Delta \theta[/tex] (4)
Then, we reduce (3b) into an entirely algebraic expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }[/tex] (3c)
Where [tex]y_{2} = \sqrt{r^{2}-x_{2}^{2}}[/tex].
Now we clear [tex]\Delta \theta[/tex] within the formula:
[tex]\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }[/tex] (5)
If we know that [tex]x_{1} = y_{1} = 0.5[/tex], [tex]r = 0.707[/tex] and [tex]x_{2} = 0.45[/tex], then we estimate the angle change:
[tex]y_{2} = \sqrt{0.707^{2}-0.45^{2}}[/tex]
[tex]y_{2} \approx 0.545[/tex]
[tex]\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}[/tex]
[tex]\Delta \theta = 0.095[/tex]
As [tex]\Delta \theta < \frac{\pi}{6}[/tex], then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].
We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845
Write $1.50 to $12.00 as a ratio in fraction form in lowest terms.
Answer:
1/8
Step-by-step explanation:
The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for auto expenses?
Answer: The amount budgeted for Auto Expenses is $18,200
Step-by-step explanation:
13 Percent of $140,000 is $18,200
0.13 times 140,000 :-)
Fdgbfrgrth Rheu Hyueheuhuhuhuheeuhuhuhe
Angles 1 and 2 are coresponding angles angle 1 is 3x+15 angle 2 is 4x-5 degrees.
what is the value of x
Answer:
10
Step-by-step explanation:
3x+15+4x-5=180
7x+10=180
7x=170
x=10
Please answer this question no links please
Answer:
first I need to know what your question is to be able to answer this question sorry
Answer:
Ummm what is the question?
Step-by-step explanation:
Complete the equation so that it has one solution.
-2z+3-z=□-4z+2
answer...
ExplanasionStep-by-step explanation:
Step 1: switch sides and add up.
[tex] z + 1 - x = 0[/tex]
Step 2: switch sides for z is alone
[tex]z = x - 1[/tex]
Note: I used the blank space as x.
Please answer right!
Answer:
Step-by-step explanation:
5x + 2 - 3x - 1 = 3x + 2
5x - 3x - 3x = - 2 + 1 + 2
5x - 6x = 1
-1x = 1
x = 1 / -1
x = -1
Julie has a jewelry box shaped like a cube. The volume of the jewelry box is V cubic inches. Use this information to answer Questions 6 and 7. Write an expression that represents the edge length of Julie's jewelry box in inches.
Answer:
s = ∛V
Step-by-step explanation:
The relationship between edge length (s) and volume (V) of cube is ...
V = s³
Taking the cube root of both sides of this equation gives you an expression for the edge length:
s = ∛V
_____
Additional comment
The units of s will be the cube root of the units of V. If V is in cubic inches, then s is in inches.
For each equation, determine if y is a function of x. x+y=25
Answer: Yes
Step-by-step explanation: Depends on what x equals.