Answer:
f(x) = (x-1) (x-8) (x +7)(x-5) ( x+4)
Step-by-step explanation:
The zeros of the function are written in the form
f(x) = (x-a)(x-b)..... where the a,b are the zeros
f(x) = (x-1) (x-8) (x - -7)(x-5) ( x--4)
Rewriting
f(x) = (x-1) (x-8) (x +7)(x-5) ( x+4)
5. Jon Metcalf signed a 253-day simple interest note for $7700 with a bank that uses exact interest. If the rate is 10 3/4% find the maturity value.
Answer:
8281.72
Step-by-step explanation:
Given:
Principal, P = 7700
Rate, r = 10 3/4 % = 43/4 % = 0.1075
Time, t = 253 days = 253/ 360
Using the relation :
A = P(1 + rt)
A = maturity value
A = 7700(1 + 0.1075*253/360)
A = 7700(1 + 0.0755486)
A = 7700(1.0755486)
A = 8281.7243
A = 8281.72
Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.
Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?
Answer:
In other words, they want you to find the volume of the cone.
Volume of a cone=1/3 (pi * radius^2 *h)
Volume=1/3 [3.14* (22)^2 * 120]
Volume=1/3 (3.14*484*120)
Volume=1/3 (182371.2)
Volume= 182371.2/3
Volume=60790.4
The volume of the cone is 60790.4mm^3
But that is not the final answer. Since liquid is measured in litres, You need to convert it to millilitres. So the answer is that one chocolate dip cone can hold a maximum of 60.9704 milliliters
Step-by-step explanation:
Hope this helps
Please look at the image
Step-by-step explanation:
m∠A = 70°
m∠B = 30°
m∠C = 80°
Sum of all three angles = 70° + 30° + 80° = 180°
Hope it helps....!
write a trigonometric expression for the refracted angle and write the refracted angle in terms of distance d and material width w
Answer: The Diagram of the refracted angle is attached below
answer : ∅ = cos^-1 ( w/d )
Step-by-step explanation:
The trigonometric expression for the refracted angle
with respect to ; Distance ( d ) and width ( w )
Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )
where; adjacent = W . Hypotenuse = d
back to equation 1
Cos ∅ = w / d
∴ ∅ = cos^-1 ( w/d )
9. Simplify 1/2 (4a + b) - 1/4 (4a + b)
А. a
B. a + 1/4 b
C. 2a + 1/4 b
D. 2a - b
B: a+ 1/4b Hope this helps!
B. [tex]a + \frac{1}{4} b[/tex] ✅
Step-by-step explanation:
[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Richard drove to the east at 2 kilometers, then 1 kilometer south, and 1 kilometer west to reach home.
Answer:
answer 4 kilometer
Step-by-step explanation:
2 + 1 + 1 = 4
B(c) is a function.
1
2
L
3
А
B(C)
O A. True
O B. False
Alice invests $5,000 at age 28 from the signing bonus of her new job. She hopes the investments will be worth $20,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?
Answer:4000 per year
Step-by-step explanation:
given sin x= 7/25 abd cos x = 24/25. what is the ratio for tan x?
Answer:
Solution given:
[tex] sin x=\frac{7}{25}[/tex]
[tex]Cosx=\frac{24}{25}[/tex]
Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]
Tan x=[tex] \frac{7*25}{24*25}[/tex]
tan x=[tex] \frac{7}{24}[/tex]
is a required answer.
Please anybody help I need to finish this today!!
Answer:
well Liam is right that is the same statement
A light bulb consumes 3600 watts-hours per day. How many watts-hours does it consume in 3 days and 6 hours?
Answer:
3 DAYS IS 10800 WATTS.
Step-by-step explanation:
3600 WATTS × 3 DAYS =10800 WATTS.
What is 26.509 written in Expanded Form?
For i^2 =-1, (3-i)^2 = ?
A. 8
B. 10
C. 8-6i
D. 8 + 6i
E. 10-6i
Suppose you save $1 the first day of a month, $4 the second day, $16 the third day, and so on. That is, each day you save four times as much as you did the day before. What will you put aside for savings on the seventh day of the month?
Answer:
$ 4096 on the 7th day
Step-by-step explanation:
From the amount earned for the first 3 days it's 1 , 4 , 16 , .... We realize it increases exponentially.
So therefore:
Day 1 =4⁰
Day 2=4¹
Day 3=4²
Day 4=4³
Day 5=4⁴
Day 6=4⁵
Day 7=4⁶
Therefore on day 7 he saves 4⁶ which is $4096
Lawns by Brawns uses 13 ounces of fertilizer for 6.5 acres. Assume the company is fertilizing 0.5 of an acre. How much fertilizer does it need
Amount of fertilizers required for 0.5 acres = 1 onces.
What is unitary method?Unitary method is a process with the aid of which we discover the fee of a unmarried unit from the cost of multiple units and the cost of a couple of gadgets from the fee of a unmarried unit. it's far a method that we use for most of the calculations in math.
The technique wherein first we discover the fee of one unit after which the price of the desired wide variety of devices is known as the Unitary method.The formula for unitary approach is to find the price of a unmarried unit after which locate the value of extra or fewer devices by way of multiplying their quantity with the value of a unmarried unit.
In case we are having the cost of multiple items with us, then we are able to genuinely divide the entire cost with the quantity of units to get the price of 1 unit and this technique is known as the unitary method. In easy terms, the unitary method is used to locate the cost of a unmarried unit from a given multiple.
Unitary approach is the technique via which we discover the value of a unmarried unit from the value of multiple units and then use this price to locate the cost of the specified wide variety of devices. cost of many devices.
explanation;
13 0nces of fertilizers required for 6.5 acres
for 1 acres land = 13 / 6.5
onces of fertilizers required = 2 onces
for 0.5 acres = 2 *0.5 = 1 onces of fertilizers required.
Hence required fertilizers = 1 onces.
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For each of the regions D in R^2 below, fill in the blank so that the statements are true:
A continuous function on D= {(x,y) ∈ R^2 | 2x^4+6y^2 >= 152} __________ have an absolute maximum.
a. must
b. might or might not
c. must not
Answer:
b. might or might not
Step-by-step explanation:
Theorem:
If f is a continuous function in a bounded interval, it must have an absolute maximum.
In this question:
The interval is 2x^4+6y^2 >= 152, which goes to infinite, meaning it is not bounded, and so the function might or might not have an absolute maximum, and the correct answer is given by option b.
Answer:
b. might or might not
Step-by-step explanation:
For each of the regions D in R^2 below, fill in the blank so that the statements are true: might or might not
WILL GIVE BRAINLIEST!!!!
Plot the image of quadrilateral ABCD under a reflection across line L.
Answer:
See image
Step-by-step explanation:
I clicked submit and it was right
Also dude I remember doing this and struggling before
please help me!!! justify your answers.
Answer:
G is true is out divide 1/7 by 2 out get 1/14
H is false the product is always 1
I is false all numbers have a reciprocal besides 0
Answer:
g. True
h. False
i. False
Step-by-step explanation:
g.
[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]
This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]
If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]
The numerator is 1 * 1 which is 1
And then the denominator is 7 * 2 which is 14
That would give you [tex]\frac{1}{14}[/tex]
h.
The products of two reciprocals is 0
This is not true
Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.
Ex: [tex]\frac{2}{8}[/tex]
Its reciprocal is [tex]\frac{8}{2}[/tex]
So multiply them together
[tex]\frac{2}{8}* \frac{8}{2}[/tex]
2 * 8 = 16
8 * 2 = 16
[tex]\frac{16}{16} = 1[/tex]
i.
A whole number does not have a reciprocal
This is incorrect. If you think about it, a whole number is just the number, over 1
Ex: [tex]\frac{6}{1}[/tex]
This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.
If you an write it as a fraction, it has a reciprocal.
The reciprocal in this case would be [tex]\frac{1}{6}[/tex]
I hope this helps, don't be afraid to reach out with any further questions!
Eve surveys the students in her classroom to find out how much time they spent doing their homework last night. The results are plotted in the line plot below. The measurements are rounded to the nearest \dfrac{1}{4}
4
1
start fraction, 1, divided by, 4, end fraction of an hour
Answer: The answer is 5/4 :)
Answer:
5/4 or 1 1/4
Step-by-step explanation:
khan academy
The question is below.
Answer:
3/14
Step-by-step explanation:
12/56 is equivalent to 3/14
Answer:
14
Step-by-step explanation:
We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.
In ΔSTU, s = 98 inches, t = 92 inches and u=70 inches. Find the measure of ∠U to the nearest 10th of a degree.
Answer: is 43.1
Step-by-step explanation:
what is the volume measured in cubic centimeters, of the box below? do not include units in your answer
Answer:
60
Step-by-step explanation:
V = lwh
V= 4x3x5
V=60
Answer:
Solution given:
l=4cm
b=3cm
h=5cm
volume=l*b*h=4*3*5=60cm³
I need this please ya
GE = 26
Step-by-step explanation:
OP = 16 + 9 = 25
PE - OG = 7
Using Pythagorean theorem,
(GE)^2 = (OP)^2 + (PE - OG)^2
=(25)^2 + (7)^2
= 625 + 49
= 674
or
GE = √674 = 25.96 or 26
PLSSSS HELLPPPPP!!!
Answer: B, D, and F
Step-by-step explanation:
Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.
By understanding those info, it should be easier to answer.
For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).
For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.
For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.
For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.
For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).
For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.
Hopefully this helps!
if 2 X + 1 ,2 x-1 and 3 X + 4 are in AP find the value of x
Answer:
x = - 7
Step-by-step explanation:
Given that the terms are in AP , then
a₃ - a₂ = a₂ - a₁ , substitute values
3x + 4 - (2x - 1) = 2x - 1 - (2x + 1) ← distribute and simplify both sides
3x + 4 - 2x + 1 = 2x - 1 - 2x - 1
x + 5 = - 2 ( subtract 5 from both sides )
x = - 7
Sasha is taking cooking class. The total cost in dollars of the classes can be found using the function d = 12.750 + 35, where c is the number of classes attended. Sasha will attend at least one class and no more than eight classes. What is the domain of the situation?
Answer:
[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8
Step-by-step explanation:
The domain is number of classes she can/will take, therefore the domain is between 1 and 8.
An electronics store advertises that one lucky customer will be given a television at the store's 10th anniversary celebration on the day of the
celebration, 150 customers, of which 82 are less than 30 years old and 68 are 30 years old or more, complete a form to enter for the chance to win
the television. The manager of the store wants to select the winner by drawing a form out of a box, but the box can only hold 100 forms.
Which method ensures both that the manager can use the box for the selection and that each customer has a fair chance of winning?
A. Divide the forms into two lots based on age. Then, randomly select one of the lots and place it in the box Randomly select the
winning customer's form out of the box.
B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box
Randomly select the winning customer's form out of the box
c. Sort the forms alphabetically by last name Then, place the first 100 forms into the box Randomly select the winning customer's
form out of the box
D. Randomly divide the 150 forms into five equal-sized groups. Then randomly select 4 of the groups and place them in the box
Randomly select the winning customer's form out of the box
Answer:
the answer to this question is"B"
B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box
Randomly select the winning customer's form out of the box
What a in electronics?AMPERE - A unit of measure for the flow of current in a circuit. One ampere is the amount of current flow provided when one volt of electrical pressure is applied against one ohm of resistance.
What is the use of electronics?Electronics uses active devices to control electron flow by amplification and rectification, which distinguishes it from classical electrical engineering, which only uses passive effects such as resistance, capacitance and inductance to control electric current flow.
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Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9
Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]
In this question:
Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]
The function is:
[tex]h(x) = -x^2 - 5x + 14[/tex]
[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]
[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]
Then
[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]
The average rate of change of the function over the interval is of 6.
How many books could you read in 114 days if you read 2 books every 3 days?
Answer:
76 books
Step-by-step explanation:
2/3 × 114 = 76
__________
Find the area of the shape.
Answer:
78.5 un²
Step-by-step explanation:
A = π · r²
π · 10²
314 un²
314 un² ÷ 4
78.5 un²