Answer: On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5).
Step-by-step explanation: this is the one with a negative discriminant value
Answer:
iTS BBBB
Step-by-step explanation:
Just did it.
A circular Petri dish has a diameter of 10 centimeters. If the dish contains 2.450 bacteria, what is the
population density of bacteria in the dish?
(1) 31 bacteria per square centimeter
(2) 42 bacteria per square
centimeter
(3) 48 bacteria per square centimeter
(4) 51 bacteria per square centimeter
Answer: 31 bacteria per square centimiter.
Step-by-step explanation:
The correct number of bacteria in the question is 2,450.
Hi, to answer this question we have to apply the next formula:
Area of a circle = π x (diameter/2) ^2
Replacing with the values given:
A = π x (10/2) ^2
A = π x (5) ^2
A = π x 25 = 78.54 cm2
Next, we have to divide the number of bacteria (2,450) by the area of the dish
2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.
Feel free to ask for more if needed or if you did not understand something.
Given the piecewise function shown, find the value of h(–6). A) 1 B) 26 C) -23 D) -6
Answer:
-22
Step-by-step explanation:
Which part of the function is valid when x = -6
The first part
h(-6) = 4x+2 and let x = -6
=4(-6) +2
= -24 +2
=-22
Answer:
-22
Step-by-step explanation:
The value of x in 3(x+5)=12
Answer:
x=-1
Step-by-step explanation:
3(x+5)=12
Step 1: Simplify both sides of the equation.
3(x+5)=12
(3)(x)+(3)(5)=12(Distribute)
3x+15=12
Step 2: Subtract 15 from both sides.
3x+15−15=12−15
3x=−3
Step 3: Divide both sides by 3.
3x
3
=
−3
3
x=−1
Answer:
x = -1
Step-by-step explanation:
3(x+5)=12
Divide each side by 3
3/3(x+5)=12/3
x+5 = 4
Subtract 5 from each side
x+5-5 = 4-5
x = -1
The largest colored pencil drawing ever documented is 500 yards long. How many feet is that? Show or explain your reasoning.
Answer:
1500 ft
Step-by-step explanation:
1 yd=3 ft
500 yd*3 ft/yd=1500 ft
Answer:
1500 ft
Step-by-step explanation:
Multiply 500 yds by the conversion factor derived from 1 yd = 3 ft:
500 yd 3 ft
----------- * ----------- = 1500 ft
1 1 yd
Write an equation to represent the total cost for a certain number of cans. Use “c” for cost and “n” for number of cans.
Answer:
C = 1.25n
Step-by-step explanation:
From the given table,
There is a common difference of $1.25 in every successive term to the previous term of the total cost,
Difference in the costs of 2 cans and 1 can = $2.50 - $1.25 = $1.25
Similarly, Difference in the costs of 3 cans and 2 cans = $3.75 - $2.50 = $1.25
Total cost of the cans are forming an Arithmetic sequence, explicit formula the sequence will be,
[tex]T_n=a+(n-1)d[/tex]
= 1.25 + (n -1)(1.25)
Or, C = 1.25 + 1.25n - 1.25
C = 1.25n
Leah drives her truck 270KM in the same time Deborah drives her car 250KM. If Leah drives 4km/h faster than Deborah. What is each of their driving speeds?
Answer:
Leah: 54km/h
Deborah: 50 km/h
Step-by-step explanation:
250+4x=270
4x=20
x=5
both drove 5 hours
Deborah:
250/5=50km/h
Leah:
270/5=54km/h
The fraction models below represent two fractions of the same whole. How much of the Fraction 3 over 8 is in the Fraction 1 over 4?
Answer:
2/3
Step-by-step explanation:
Your model may show you that 1/4 = 2/8. Of course that will be 2 out of 3 of the 3/8 making up the other fraction of the same whole.
1/4 = 2/3 of the fraction 3/8
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.
Answer:
2 and 3 are true
Step-by-step explanation:
1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.
2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.
3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.
4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.
Hope this helps!
Answer:
2 and 3
Step-by-step explanation:
Which sequence shows a pattern where each term is 1.5 times the previous term?
–4, 6, –9, 13.5, …
10, 15, 25, 40, …
98, 99.5, 101, 102.5 …
–200, –300, –450, –675, …
Answer:
-200, -300, -450, -675
The geometric sequence which shows a pattern in which each term is 1.5 times the previous term is A = -200 , -300 , -450 , -675 ...
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
A = -200 , -300 , -450 , -675 ...
The common ratio of the GP = second term / first term
On simplifying , we get
r = -300 / -200
r = 3/2
r = 1.5
Therefore , each term is 1.5 times the previous term
Hence , the GP is solved
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I don't know what to put in theboxes.
I guess you have to put the amounts in the boxes based on your data :) hope that helped a little
I think it should go like
3|6
1|2
What is the rate of change/slope?
Miles per hour
Hours Miles
2 70
4 140
6 210
8 280
Answer:
35 miles per hour
Step-by-step explanation:
The slope is
m = (y2-y1)/*x2-x1)
= (280-210)/(8-6)
= 70/2
= 35 miles per hour
Write an exponential equation in the form y = abx whose graph passes through points (−3, 24) and (−2, 12). y = 3x y = 3(0.5)x y = 0.5(3)x y = −3(24)x
Answer:
Option B.
Step-by-step explanation:
The given exponential equation is
[tex]y=ab^x[/tex] ...(1)
It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).
The graph passes through the point (-3,24), so substitute x=-3 and y=24 in equation (1).
[tex]24=ab^{-3}[/tex] ...(2)
The graph passes through the point (-2,12), so substitute x=-2 and y=12 in equation (1).
[tex]12=ab^{-2}[/tex] ...(3)
Divide equation (3) by equation (2).
[tex]\dfrac{12}{24}=\dfrac{ab^{-2}}{ab^{-3}}[/tex]
[tex]0.5=b[/tex]
Substitute b=0.5 in equation (2).
[tex]24=a(0.5)^{-3}[/tex]
[tex]24=\dfrac{a}{(0.5)^{3}}[/tex]
[tex]24=\dfrac{a}{0.125}[/tex]
[tex]24\times 0.125=a[/tex]
[tex]3=a[/tex]
Substitute a=3 and b=0.5 in equation (1).
[tex]y=3(0.5)^x[/tex]
Therefore, the correct option is B.
PLEASE HELP! WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!
There are n gallons of gas in a tank. After x gallons have been used, in terms of n and x, what percent of the gas has not been used?
Answer:
((n-x)/n)*100
Step-by-step explanation:
The Answer is:
((n-x)/n)100
What's the distance between - 14 and -5 on a number line?
A) 34
B) 11.7
D) 68
Question 15 (5 points)
Answer:
9
Step-by-step explanation:
Take -14 minus -5
-14 - (-5) Distribute the negative to -5
-14 + 5 Add
-9 Since distance can't be negative take the absolute value of -9
|-9| = 9
Answer:
the distance is 9
Step-by-step explanation:
its 9 because 14-5 = the distance of them on a number line
Viet solved a quadratic equation. His work is shown below. In which step did Viet make an error? Step 1,2,or 3?
Answer:
Step 1
Step-by-step explanation:
he added 4 to the other side instead of taking away 4
Answer:
step 1
Step-by-step explanation:
Which of the following graphs represents exponential decay?
Answer:
C
Step-by-step explanation:
C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.
The graph of the unknown function C represents exponential decay.
The correct option is C.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
Two graphs of the unknown functions are given.
And when the value of x approaches to positive infinity,
the value of y decrease exponentially.
And from the above definition,
the graph is C.
Therefore, the graph is C.
To learn more about the exponential decay;
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P
L
Z
H
E
L
P
M
E
!
!
!
Answer:
slope = - 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 1, 22) and (x₂, y₂ ) = (1, 14) ← 2 ordered pairs from the table
m = [tex]\frac{14-22}{1-(-1)}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4
A can of 3 tennis balls sells for $2. If Sal spent more than $24 on tennis balls, which inequality can be used to find n, the number of tennis balls Sal could have bought?
A. 2/3n > 24
B. 3/2n > 24
C. 2n >24
D. 3n > 24
Answer:
the answer is A
Step-by-step explanation:
i went but the all the other answers in and it was left to A
Option A is the correct answer.
What is the cost of one item if the cost of m items is x?
The cost of one item is obtained by dividing the total cost of m items by the number of items.
Given
The total amount spent by Sal > $24,
cost of 3 tennis balls = $2.
Cost of n tennis balls
Divide the cost of three tennis balls by 3 to get the cost of one tennis ball, which is $2/3.
Let the number of balls bought by Sal be n, and P be the cost of n tennis balls.
Total amount spent by him, P = cost of one ball × number of balls bought = ($2/3) × n = $(2/3)n.
Obtain the inequality
Since the total amount spent by him > $24, using the above value of P we obtain,
$(2/3)n > $24.
The inequality to be used to find n is (2/3)n > 24.
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Find the volume of the given solid. Leave your answer in terms of pi
Answer: 465 π
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V): π x (diameter /2) ² x height
Replacing with the values given and solving for v (Volume)
V = π x (6/2)²x 50
V = 450π
And then for the bottom part:
Volume of a cone = 1/3 x π x (diameter/2)^2 x height
Replacing with the values given:
V = 1/3 π (6/2) ^2 (5) = 15π
Finally we add the volumes:
450π+15π = 465 π
In conclusion, the volume of the solid is 465π m3.
Feel free to ask for more if needed or if you did not understand something
A girl flying a kite lets out 130 feet of string that makes an angle of 52° with the ground. If the string forms a straight line, how high is the kite above the ground? Hint: Draw a picture (triangle) and label. 80.04 feet 102.44 feet 166.39 feet 164.97 feet
Answer:
The height of the kite above the ground is 102 .44 feet
Step-by-step explanation:
To find the height of the kite above the ground, we will follow the steps below:
let h represent the height of the kite above the ground
we will use trigonometric ratio to solve
SOH CAH TOA
sinФ = opposite/hypotenuse
cosФ=adjacent / hypotenuse
tanФ=opposite / adjacent
from the diagram below
opposite = h
hypotenuse = 130 feet
Ф = 52°
The best trig ratio to use is sin
sin Ф = opposite / hypotenuse
sin52° = h / 130
cross-multiply
h = 130 sin 52°
h=102.44°
The height of the kite above the ground is 102 .44 feet
Why is sexual reproduction citical in the process of evolution
Answer:
sexual reproduction provides evolutionary advantages to organisms that employ this mechanism to produce offspring.
Step-by-step explanation:
Answer: it creates birth
Step-by-step explanation: can i have brainliest
An architecture firm makes a blueprint
for a building with scale 1 in. = 8 ft. If
the building's length is 82 feet, what is
the length of the blueprint?
Answer:10.25
Step-by-step explanation:
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and
Row 1 the y-values. What effect does switching the variables have on?
Row 1
20
21
37
48
56
Row 2
63
72
177
158
164
171
129
186
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values.
= 206 (Round to three decimal places as needed.)
134
Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 the y-values.
- (Round to three decimal places as needed.)
Answer:
A.) r = -0.3669
B.) r = -0.3669
C.) there is no change in the value of r
Step-by-step explanation:
Row 1 : 20, 21, 37, 48, 56, 63, 72
Row 2: 177, 158, 164, 171, 129, 186, 134
A.) Taking Row 1 values as X. And row 2 values as Y.
Regression equation using the correlation Coefficient calculator :
r = -0.3669
B) Taking Row 1 values as Y. And row 2 values as Y.
Regression equation using the correlation Coefficient calculator :
r = -0.3669
C.) the correlation does not change.
I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ
Answer:
−2 − x
Step-by-step explanation:
Answer:
-2-x
Step-by-step explanation:
distribute the the like terms and separate the problem then solve it.
Find the radius round your answer to the nearest tenth
Answer:
r = 3m
Step-by-step explanation:
Formula for the volume of a sphere: V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
We want to find the radius so we use algebra to rearrange the equation to make the radius (r) the subject of the equation
Divide both sides by [tex]\frac{4}{3}[/tex]
[tex]\frac{3V}{4}[/tex] = [tex]\pi[/tex][tex]r^{3}[/tex]
Divide both sides by [tex]\pi[/tex]
[tex]\frac{3V}{4\pi }[/tex] = [tex]r^{3}[/tex]
Take the cube root of both sides
[tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]= r
Substitute V = 36[tex]\pi[/tex] into the equation
r = [tex]\sqrt[3]{\frac{3(36\pi) }{4\pi } }[/tex]
Expand the bracket
r = [tex]\sqrt[3]{\frac{108\pi }{4\pi } }[/tex]
Divide 108[tex]\pi[/tex] by 4[tex]\pi[/tex] (For this, the two [tex]\pi[/tex] in the numerator and denominator cancel each other out, and you only need to divide 108/4)
r = [tex]\sqrt[3]{27}[/tex]
The cube root of 27 is 3, because [tex]3^{3}[/tex] = 3 x 3 x 3 = 27
r = 3
A certain pizza box holds a 14-inch diameter pizza. If the box is 2 inches high; what is its surface area?
2 in.
14 in.
2 in.
2 in.
14 in.
14 in.
528 in 2
504 in 2
196 in 2
392 in 2
Answer:
528 in²
Step-by-step explanation:
Look at the attached image to help layout all of the dimensions of the pizza box!
Let me know if you have any other questions and please rate my response and consider marking brainliest!!
What is the slope of the line described by the equation below?
y- 5= -3(x - 17)
O A. -3
B. 3
O c. 5
OD. -5
Hellppp
Is the sqre root of 16 + 3/4 irrational
The square root of 16 is a rational number. The square root of 16 is 4, an integer. This is because 16 is a perfect square.
Help asap PLEASE, dhdbhehf
Answer:
3
Step-by-step explanation:
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Interior Angles: 2 and 3
An rock is thrown upward from a platform that is 202 feet above ground at 70 feet per second. Use the projectile formula
h
=
−
16
t
2
+
v
0
t
+
h
0
to determine when the rock hit the ground.
[Recall that
v
0
is the initial velocity of the object and
h
0
is the inital height of the object.]
Answer:
in 6.36004793262 seconds
Step-by-step explanation:
h(t) = –16t^2 + v*t + h
0=-16t^2 + 70*t+ 202
t=(-70 ± sqrt((70^(2)-4*(-16)*202))/(2*(-16))
t=(-70 ± sqrt(4900+64*202))/-32
t=(-70 ± sqrt(4900+12928))/-32
t=(-70 ± sqrt(17828))/-32
t=(-70 ± sqrt(2*2*4457))/-32
t=(-70 ± 2 sqrt(4457))/-32
t=(-70 + 2 sqrt(4457))/-32
t=-1.98504793262
t=(-70 - 2 sqrt(4457))/-32
t=6.36004793262
since we need the time it will fall to the ground after it was thrown and time can't be negative, answer is
in 6.36004793262 seconds
I don't know till what I am supposed to round, so I will leave it there.
