Answer:
21.5
Step-by-step explanation:
h(t) = -16t^2 + 35t + 5,
Let t = 1.5
h(1.5) = -16 (1.5)^2 + 35(1.5) + 5
=-16 *2.25 +52.5+5
= -36+57.5
= 21.5
A shop sells “Gello” pens and “Inko” pens. A “Gello” pen costs £5 and an “Inko” pen costs £7. One day the shop sold 17 pens and recieved £109. How many of each type of pen were solved? Form a pair of simultaneous equations to solve this question.
Answer:
5 Gello Pens and 12 Inko Pens.
12 Inko Pens adds up to 84.
5 Gello Pens adds up to 25.
84 + 25 = 109.
I hoped this helped :)
Find all real zeros of the function.
g(x) = 2x (x - 5)2(x – 9)?
If there is more than one answer, separate them with commas.
zero(s):
Answer:
0, 5, 9
Step-by-step explanation:
g(x) = 2x (x - 5)^2(x – 9) = 0
x = 0 or x - 5 = 0 or x - 9 = 0
x = 0 or x = 5 or x = 9
if f(x) -3 and g(x) = 3x2+x-6, find (f+9)(x).
A. 4x2 - 9
B. 3x2 + x - 3
C. 3x2 + 2X-9
D. 3x2 - 4x = 3
Answer:
3x^2 +x -3
Step-by-step explanation:
f(x)= 3 and g(x) = 3x^2+x-6
f+g (x) = 3+ 3x^2+x-6
Combine like terms
= 3x^2 +x -3
HELPP (ESPECIALLY PART B) Answer the questions in this part of the task based on your understanding of the definition and the standard equation for the conic you chose. part a Inspect the equation for the type of conic section you chose. What attributes are necessary to graph it? Be sure to include specific points or equations to complete your answer. part b Explain how, if you have the attributes given below for the conic you chose, you can derive its equation in standard form.
The conic section chosen is a parabola, and the attributes for graphing of
a parabola as well as the standard form of the equation are as follows;
Part A: The attribute necessary to graph the equation of the parabola are three points, including, the vertex, the y-intercept and the image of the reflection of the y-intercept across the axis of symmetry.Part B: The equation in standard form is x = -0.25·y² + y + 3Reasons:
Part A:
The equation of the conic section of a parabola is; (x - 3)² = 12·(y - 2)
The vertex form of the equation of a parabola is; y = a·(x - h)² + k
Where (h, k) = The vertex
Rearranging the given equation gives;
(x - 3)² = 12·y - 24
12·y - 24 = (x - 3)²
12·y = (x - 3)² + 24
[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + \frac{24}{12} = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]
[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]
Therefore, the vertex of the parabola, (h, k) = (3, 2)
At the y-intercept, x = 0, which gives;
[tex]\displaystyle y = \frac{1}{12} \cdot \left(0 - 3\right)^2 + 2 = \frac{9}{12} + 2 = 2+\frac{3}{4}[/tex]
[tex]\displaystyle y = 2+\frac{3}{4} = 2.75[/tex]
The y-intercept = (0, 2.75)
The x-intercept is given at the point where y = 0, which gives;
(x - 3)² = 12·(0 - 2) = -24
x - 3 = √(-24) = An imaginary number
Therefore, the graph has no x-intercept
Given that a parabola is symmetrical about the vertex, we have a third
point on the parabola at the image of the y-intercept reflected across the
axis of symmetry as follows;
The y-intercept (0, 2.75) is 3 units to the left of the axis of symmetry, x = 3,
therefore, the third point will be 3 units to the right of the axis of symmetry
at the point (3 + 3, 2.75) = (6, 2.75)
Therefore, using the three points, (0, 2.75), (3, 2), and (6, 2.75), the curve
representing the parabola, (x - 3)² = 12·(y - 2), can be drawn.
Please find attached the graph of the parabola created with MS Excel
Part B; Given the attributes of the parabola; Vertex: (4, 2) and focus: (3, 2), we have;
The focus of a parabola is the point (h + p, k)
Where, (h, k) = The vertex
Therefore, by comparison, we have;
(h, k) = (4, 2)
h + p = 3
Therefore;
4 + p = 3
p = 3 - 4 = -1
The vertex form of the equation of the parabola is; (y - k)² = 4·p·(x - h)
Therefore, we get;
(y - 2)² = 4 × (-1) × (x - 4) = -4·(x - 4)
y² - 4·y + 4 = 16 - 4·x
4·x = 16 - (y² - 4·y + 4) = -y² + 4·y + 12
Which gives, the standard form as follows;
[tex]\displaystyle x = -\frac{y^2}{4} + y + 3 = -0.25 \cdot y^2 + y + 3[/tex]
Standard form of the the equation of the parabola; x = -0.25·y² + y + 3Learn more about the graph of a parabola here:
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Kate wants to paddle
her canoe across the lake. To determine how far she must paddle, she paced out a triangle,counting the number of strides, as shown.
If Kate's strides average 3.5 ft, what is the
length of the longest side of the triangle?
What distance must Kate paddle across
the lake?
Answer:
1. Length of longest side of the triangle = 1,050 ft
2. Length = 437.5 ft
Step-by-step explanation:
Given:
Kate's strides average = 3.5 ft
Find:
1.longest side of the triangle
2.Distance must Kate paddle across the lake
Computation:
1.longest side of the triangle
longest side of the triangle = AE
So,
longest side of the triangle = 150 + 150
longest side of the triangle = 300
Length of longest side of the triangle = 300 × 3.5 ft
1. Length of longest side of the triangle = 1,050 ft
2.Distance must Kate paddle across the lake.
We know that,
ΔABD ~ ΔACE
So,
AB / AC = BD / CE
80 / 160 = BD / 250
BD = 125 Strides
Length = 125 × 3.5 ft
2. Length = 437.5 ft
Vertex Form y=a(x-h)^2+k what does each variable represent if they were in a problem.
WILL GIVE BRAINLY PLEASE HELP!!!!
A quadratic equation of the form 0=ax2+bx+c has a discriminant value of -16. How many real number solutions does the equation have?
A) -1
B) 0
C) 1
D) 2
Answer:
the answer is c. One real number solution
Step-by-step explanation:
Hey There!!
I think the best answer will be is (D) 2.
Because, The discriminant is the expression b2 - 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. If you get a positive number, the quadratic will have two unique solutions. Im not a 100% sure this right... Hope This helps!! By ~♡Itsbrazts~♡
help meplz i want help i bad
Answer:
.00002
Step-by-step explanation:
2 * 10 ^-5
Move the decimal 5 places to the left since the exponent is negative
2.
We will need to add zeros on the left Add 4 zeros since we can move it one place already
.00002
Answer:
(D) 0.00002
Step-by-step explanation:
Let's first forget about the 2 in the expression and focus on [tex]10^{-5}[/tex].
If we have 10 to a positive number, that many times the decimal place will move to the right. It's the opposite for 10 to the power of a negative number.
The decimal place will move 5 places to the LEFT.
So:
[tex]0000010\\\\0.00001[/tex]
Now we remember the two, and multiply this by two to get 0.00002.
Hope this helped!
plz help me i need help
The members of a film crew are at least 75 miles from their camp and must carry equipment back to camp before a storm arrives. The storm is scheduled to begin in 24 hours. They plan to travel as far as possible by truck and then walk the rest of the way. The truck can travel at a rate of 10 miles per hour through the terrain, and the team can travel 2 miles per hour on foot. Which system represents the number of hours the crew can travel by truck, x, and on foot, y, to reach camp before the storm? x + y < 24 2x + 10y ≥ 75 x + y > 24 2x + 10y ≥ 75 x + y < 24 10x + 2y ≥ 75 x + y > 24 10x + 2y ≥ 75
Answer:
I DONT UNDERSTAND ANY OF THIS
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Which of the following is a graph of f(x) =square root of x +5
Answer:
Step-by-step explanation:
You didn't include any graphs, so I can't tell you which one it is. However, the graph of [tex]f(x)=\sqrt{x+5}[/tex] looks like this:
Hope this helps!
The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below and this can be determined by using the rules of transformation.
Given :
[tex]\rm f(x) = \sqrt{x+5}[/tex]
The following steps can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex]:
Step 1 - The rules of transformation can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex].
Step 2 - First draw the graph of [tex]\sqrt{x}[/tex] which is in the shape of a parabola.
Step 3 - Now, translate the graph in the left direction, So the function of the graph obtained is [tex]\rm f(x) = \sqrt{x+5}[/tex].
The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below.
For more information, refer to the link given below:
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Please help On this question
Answer:
202.5 cm^2
Step-by-step explanation:
We can calculate the area of the shape by completing it
to a full rectangle or dividing it to a rectangle and triangle.
The second way seems easier
The area of the rectangle is calculated by multiplying length to width
20 × 9 = 180 cm^2
The area of a triangle is calculated by multiplying height to the base and that divided by two
5 × 9 ÷ 2 = 22.5 cm^2
Now add these two 180 + 22.5 = 202.5 cm^2
Answer:
202.5 cm squared
Step-by-step explanation:
To find the area of this figure easier, you can cut the figure like I showed in the attachment below.
The rectangle (purple): 20 times 9 is 180.
The right triangle (light blue): 9 times 5 times 1/2 is 22.5.
All together: 180 plus 22.5 is 202.5 cm squared!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
Circles
1. RS and ST are tangent lines. Find the value of x.
R
9x - 30
c.
S
3x
T
Answer:
x = 15
Step-by-step explanation:
9x-30 = 3x (tangent lines are congruent)
- move the variables to one side
9x-3x=30
6x=30
x=5
--------------
9(5)-30=3(15)
45-30=15
15=15
Done!
A deli sandwich shop is offering either a ham or turkey sandwich, either tomato or vegetable soup, and either coffee or milk for their lunch special. What is the probability that a customer will choose vegetable soup as part of the chosen combination? A. 1/4 B.1/3 C.1/2 D.1/6
Answer:
1/2
Step-by-step explanation:
On a map’s coordinate grid, Panthersville is located at (−3, 2), and Heel City is located at (4, 8). Falconton is the midpoint between Panthersville and Heel City. What is the approximate distance from Panthersville to Falconton? (Each unit on the grid represents 1 mile.) A. 3.25 miles B. 4.61 miles C. 5.00 miles D. 9.22 miles
Answer:
The approximate distance from Panthersville to Falconton is: B: 4.61 miles.
Step-by-step explanation:
Objective: Find the distance from Panthersville to Falconton. (Which is just half of the distance from Panthersville to Heel City because Falconton is the midpoint between both cities.)
First we need to find the distances from Panthersville to Heel City, which we are given the coordinates. ( Panthersville (-3,2) & Heel City (4, 8) )
-To find the distance between the two cities we use the distance formula:
d= √(x2 - x1) ^2 + (y2 - y1)^2 , so we set (-3,2) as x1 and y1 while (4,8) x2 and y2 and we just plug it in.
Once we plug it in we get:
d= √(4 - -3)^2 + (8 - 2) ^2
Then we solve the numbers in the parenthesis (4 - -3) = 7 and (8 - 2) = 6 so now we have:
d= √(7)^2 + (6) ^2
Next we solve for the exponents (7)^2 = (7 x 7 = 49) and (6)^2 = ( 6 x 6= 36) now it look like this:
d= √49 + 36
After that we just add both numbers together (49 + 36) = 85
d= √85
Now all we have to do is square root 85 which is just 9.219544457, just round it to the nearest hundredth and you will get 9.22.
So the distance from Panthersville to Heel City is about 9.22 miles.
Now we found the full distance we now need to find the distance from Panthersville to Falconton which is just half of that distance due to Falconton being the midpoint.
All we have to do is divide 9.22 by 2 and we get 4.61.
The distance from Panthersville to Falconton is 4.61 miles.
help me plz i wnt help plz i want help
Answer:
C)28in
Step-by-step explanation:
To get the area of this face, we will divide it into 3 sections.
Area of the 1st section:
Given:
l=4in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in^2
Area of the 2nd section:
Given:
l=2in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=2in*2in
a=4in^2
Area of the 3rd section:
l=8in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in*2in
a=16in^2
a1+a2+a3=Area of the face
8in^2+4in^2+16in^2=28in^2
Hope this helps ;) ❤❤❤
help plz help me .me no good
Answer:
50,000,000
Step-by-step explanation:
5 * 10 ^7
The 7 in the exponent means move the decimal 7 places to the right
5. We need to add 7 zeros
50000000
50,000,000
Town B is 250 km from town A on a bearing of 080°.
Town C is 250 km from town B on a bearing of 220°.
What is the bearing from town A to town C?
Answer:
Step-by-step explanation:
A doctor asks a nurse to give a
patient 250 mg (milligrams) of the
drug Simethicone. The drug is
available only in a solution whose
concentration is 40 mg Simethicone
per 0.6 ml (milliliter) of solution.
How many milliliters of solution
should the nurse give the patient?
Answer:
Hey there!
For this question, we write a proportion.
[tex]\frac{40}{0.6}=\frac{250}{x}[/tex]
[tex]40x=150[/tex]
[tex]x=3.75[/tex]
Thus, the nurse to give the patient exactly 3.75 ml of the solution.
Let me know if this helps :)
The volume of the simethicone solution given by a nurse is 3.75 milliliters.
Given:
Doctor asks a nurse to give a patient 250 milligrams of the drug Simethicone.The concentration of a drug is 40 mg of Simethicone per 0.6 mL.To find:
The milliliters of a solution to be given to the patient by a nurse.
Solution:
Mass of simethicone drug to be given = 250 mg
Let the volume of the solution with 250 mg of simethicone be x.
The concentration of simethicone in solution = 40 mg/0.6 mL
Mass of simethicone in 1 mL of solution:
[tex]40 mg/0.6 mL=\frac{40 mg}{0.6 mL}\\\\=\frac{400 mg}{6 mL}[/tex]
The mass of simethicone in 'x' mL of solution:
[tex]250 mg=x\times \frac{400 mg}{6 mL}\\\\x=\frac{250 mg\times 6 mL}{400 mg}\\\\x=3.75 mL[/tex]
The volume of the simethicone solution given by a nurse is 3.75 milliliters.
Learn more about the unitary method here:
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5.4(m-2)= -2(3m+3) please help asap
Answer:
m = 0.421
Step-by-step explanation:
5.4(m-2)= -2(3m+3) (expand parentheses by distributive property)
m(5.4) -2(5.4) = 3m(-2) + 3(-2)
5.4m - 10.8 = -6m - 6 (add 6m to both sides)
5.4m - 10.8 + 6m = - 6
11.4m - 10.8 = - 6 (add 10.8 to both sides)
11.4m = -6 + 10.8
11.4m = 4.8 (divide both sides by 11.4)
m = 4.8 / 11.4
m = 0.421
Answer:
m = 8/19
Step-by-step explanation :
5.4 (m-2) = -2 (3m +3)
54/10 (m-2) = (3m +3) as n = 1
2.3^3 / 2.5 (m-2) = (3m + 3)
4.868 (m-2) = (3m +3)
4.868 + 3 = (3m^2 * m-2)
8 / 9.5 * 2
m = 8 / 19
A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 4x − 3 and EC = 2x + 6, find the distance between the top and bottom of the bridge, in feet.
Answer:
Total distance = 30 m
Step-by-step explanation:
Given:
AC : EC = 1:1
AC = 4x − 3 and EC = 2x + 6
Find:
Total distance
Computation:
AC = EC
So,
4x - 3 = 2x + 6
2x = 9
x = 4.5
AC = 4(4.5) - 3 = 15 m
EC = 2(4.5) + 6 = 15 m
Total distance = AC + EC
Total distance = 15 m + 15 m
Total distance = 30 m
The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m
Given that a new bridge structure requires triangles that are in a ratio of 1:1 with the following parameters
AC = 4x - 3
EC = 2x + 6
Since the measure are in the same ratio, henec;
AC = EC
4x - 3 = 2x + 6
4x - 2x = 6 + 3
2x = 9
x = 4.5
Get the
AC = EC = 4x - 3
AC = EC = 4(4.5) - 3 = 15feet
The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m\
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Which fraction is equivalent to -0.12? A. -3/25 B. -7/50 C. 4/25 D. -6/25 Please show ALL work! <3
Answer:
[tex]\huge\boxed{-\frac{3}{25} }[/tex]
Step-by-step explanation:
-0.12 in fraction form can be written as:
=> - 12/100
=> - 6 / 50
=> - 3/25
Answer:
[tex]\large \boxed{\mathrm{A. \ -3/25}}[/tex]
Step-by-step explanation:
Convert the decimal to a fraction.
-(0.12) = -(12/100)
Simplify the fraction.
-(12/100) = -(6/50) = -(3/25)
Which of the following represents continuous data? A. Amount of coins in your pocket B. Time it takes to count the coins in your pocket C. Number of collector coins you own D. Value of the coins in your pocket
Answer:
Time it takes to count the coins in your pocket
Step-by-step explanation:
What is - 15 +6f = 5
Answer:
f = 10/3
Step-by-step explanation:
-15 + 6f = 5
-15 + 15 + 6f = 5 + 15
6f = 20
6f/6 = 20/6
f = 20/6 = 10/3 = 3.333...
Answer:
10/3
Step-by-step explanation:
-15+6f=5
6f=5-(-15)
6f=5+15
6f=20
f=20/6
simplify
f=10/3
cqn someone answer this?
Answer:
-3Step-by-step explanation:
-11/2+27/4+(-17/4)(-22+27-17)/4(-12)/4-3Draw a net of the triangular prism and label each face with its surface area. Use the net of the three-dimensional triangular prism to find the surface area of the solid. 13 points
Answer:
300 yards squared
Step-by-step explanation:
Triangle area = 12 x 5 / 2 = 30
2 Triangles (because there are two of them) = 60
Big rectangle = 8 x 13 = 104
Small Rectangle = 8 x 5 = 40
Medium Rectangle = 96
Add all up = 300
Hope that helped!!! k
Write as an inequality. "Four more than half a number is at most sixteen"
1/2 + 4 ≤ 16
four more = +4
half a number = 1/2
at most means less or greater which is ≤
Answer:
0.5n + 4 ≤ 16
Step-by-step explanation:
add 4 to half of the unknown number (n). It is at most 16 (less than or equal to).
0.5n + 4 ≤ 16
Write the equation for the following table:
0 2
1 7
2 13
3 20
Answer:
Step-by-step explanation:
for each positive integer m, so that la - r2m-ll and la - r2m I are both less than
1 1
Ir2m - r2m-ll .:::: 42(m-l) Ir2 - rll = 24m - 3 ·
It follows that limn--->oo rn = limn--->oo rn-l = a. Taking limits in the recursion in
(d) leads to
1
a=I+--
l+a
which reduces to a 2 = 2. Since rn > 0 for each n, a > O.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Step-by-step explanation:
of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Answer:
you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.
Step-by-step explanation:
Thanks!
Which of the following describes a compound event?
Answer:
B.
Step-by-step explanation:
A compound event is the combination of two or more simple events (with two or more outcomes). The probability of drawing a heart, replacing the card, then drawing a spade. In a compound event, the numerator ("number of times it can occur") will be greater than 1.
