5
Find the value of x. Show work to prove your answer.
(3x +
18)
93°
Answer:
x=34.5
Step-by-step explanation:
(3x+18)° and 93° lie along a straight line. The angles in a straight line add up to 180. So:
3x+18+93=`80
2x=180-111
x=69/2
x=34.5
Is the sequence arithmetic? If so, identify the common difference.
13, 20, 27. 34, ...
Answer:
the common difference is = 7
Step-by-step explanation:
1st term is 13
2nd term is 20
d = 2nd -1st
d= 20-13
d= 7
Answer:
Yes . It is arithmetic & the common difference of them is 7 .
Step-by-step explanation:
Hope this helps ;)
f(x)=ax^2bx+c
determine the y-intercept and zeros
Answer:
The y intercept is c
The zeroes are the quadratic formula.
Step-by-step explanation:
Let x=0.
[tex]a(0) {}^{2} + b(0) + c[/tex]
[tex]0 + 0 + c[/tex]
[tex]c[/tex]
The y intercept is c
To find the zeroes,
This gonna to take a minute so the answer to the problem is the quadratic formula.
I need to increase the numbers of customers I talk to daily by 20% how many customers do I need to talk to if I talk to a average of 8 customers per hour during an 8 hour shift
Answer:
77 approx
Step-by-step explanation:
Given data
Number of customers talked to per hour= 8
Hence for 8 hours(a day) the number of customers talked to = 8*8= 64
We want to first find 20% of 64
=20/100*64
=0.2*64
=12.8
Hence the number of customers will be
=12.8+64
=76.8
=77 approx
in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.
NOT A MULTIPLE CHOICE
1a. Write a model giving the amount E of energy t years after 1980.
1b. Use your model determine how much wind energy was generated in 1984.
1c. Determine the year when 80 gigawatt-hours of energy were generated.
9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.
What is the product of -3 and 5
Answer:
-15
Step-by-step explanation:
have a good day/night
may i please have a branliest
Find the total area of the polygon shape shown below. All measurements are given in inches. Enter only the number. The total area is blank square inches.
The total area is 45 square inches.
Area of Compound ShapesThis question requires your knowledge about the area of compound shapes. For solving this, you should:
Identify the basic shapes;Calculate your individual areas; Sum each area found. STEP 1 - Identify the basic shapes.The figure is composed of:
two squares whose sides are equal to 3 in. 1 rectangle whose sides are: 9 in and 3 inTherefore, you should sum the area of these geometric figures for determining the given area.
STEP 2 - Find the area of the squares.Area of each square = a², where a=the length of the side.
Like, the length of the side is equal to 3 in, the area will be:
A_square= 3²=9 in².
You have two squares in the figure. Then, the total area for the squares is 9 + 9 =18 in²
STEP 3 - Find the area of the rectangle.
Area of the rectangle = bh . The figure shows that: the base = 9 in and the 3=8 in
Thus, A_rectangle=bh= 9*3=27in²
STEP 4 - Find an expression for the total area of the figure.
A_total= A_squares+ A_rectangle
A_total= 18+27=45 in²
A_total= 45in²
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Bob took out a 5 year loan for $4000 and paid 3% annual simple interest
Bill took out a 4 year loan for $4000 and paid 5% annual simple interest
What is the sum of amounts of interest bob and bill paid for their loans
Please I need the answer ASAP
Answer:
8
Step-by-step explanation:
base×height÷2=area
2×8÷2=8
Steve opens a jewelry shop and makes $16.00 profit for each piece of jewelry sold.The amount Steve makes is given f(x)=16x,where x is the number of pieces of jewelry sold.
Answer:
16pieces
Step-by-step explanation:
We can find the number of pieces is the amount steve make is $256
If steve makes $256, then f(x) = 256
Substitute into the formula and find x
256 = 16x
Swap
16x = 256
Divide both sides by 16
16x/16 = 256/16
x = 16
Hence the number of jewelry sold is 16pieces
Reduce 65 in ratio 5:2
Answer: [tex]46.42:18.57[/tex]
Step-by-step explanation:
[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]
The solution is 46.42857 : 18.57143
The proportion equation is given by 46.42857 : 18.57143 and
46.42857 + 18.5714365 = 65
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number be represented as N
The value of N = 65
The proportion is 5 : 2
The total value of the ratio = 5 + 2 = 7
So , each value of the proportion is x = 65 / 7
On simplifying the equation , we get
Each value of the proportion is x = 9.2857142857
Now , the proportion equation is given by
The value of 5x = 5 ( 9.2857142857 )
The value of 5x = 46.42857
The value of 2x = 2 ( 9.2857142857 )
The value of 2x = 18.57143
And , 46.42857 + 18.5714365 = 65
Hence , the proportion is 46.42857 : 18.57143 or 5 : 2
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Complete the statements to find the limit. lim x→3 x2 + 2x − 3 x2 + 4x − 5 = The numerator can be factored as . The denominator can be factored as . The common factor of can be divided out of the numerator and denominator. The limit is .
ANSWERS:
1. C
2. D
3. B
4. A
Your choices are all correct.
Numerator: x ² + 2x - 3 = (x + 3) (x - 1)
Denominator: x ² + 4x - 5 = (x + 5) (x - 1)
Common factor: x - 1
Then
lim [x → 3] (x ² + 2x - 3) / (x ² + 4x - 5)
= lim [x → 3] (x + 3) / (x + 5)
= (3 + 3) / (3 + 5)
= 6/8 = 3/4
Answer:
ANSWERS:
1. C
2. D
3. B
4. A
Step-by-step explanation:
Constance has an apple that weighs 85,000 milligrams and a peach that weighs 0.15 kilograms. Which fruit has the greater mass? Choose the words and numbers to complete the statements. Convert the masses of both fruits to the same unit.
Answer:
The peach will way more then the apple
Hope this helps you ☜(ﾟヮﾟ☜)
The weight of the peach is greater than the weight of apple
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the weight of apple be = 85,000 milligrams
And , let the weight of the peach be = 0.15 grams
Now , from the unit conversion
1 gram = 1000 milligrams
And , 1 kilogram = 1000 grams
So , the weight of apple A = 85 grams
And , the weight of the peach P = 150 grams
Therefore , P > A
Hence , weight of peach is larger
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Need some help on this question???
Answer: 4
Step-by-step explanation:
Given
PA=6, PD=4, BE=5
We know, If PEB is a secant that intersects the circle at E and B and PA be a tangent at A, then
[tex]PA^2=PE\cdot PB[/tex]
Substitute the given values
[tex]\Rightarrow 6^2=(PE+BE)\cdot(PE)\\\Rightarrow 36=(PE+5)\cdot(PE)[/tex]
Take [tex]PE=x[/tex]
[tex]\Rightarrow 36=x^2+5x\\\Rightarrow x^2+5x-36=0\\\Rightarrow x^2+9x-5x-36=0\\\Rightarrow (x+9)(x-4)=0\\\Rightarrow x=-9,4[/tex]
Discard [tex]x=-9[/tex]
[tex]\therefore PE=4[/tex]
Ahmad took out a loan for 146 days and was charged simple interest at an annual rate of 12.5%.
The total interest he paid on the loan was $245.
How much money did Ahmad borrow?
Answer:
$488778
Step-by-step explanation:
For a for interest is;
i = PRT/100
Where;
R is rate
P is Principal
T is time
i is interest
We are given;
R = 12.5% = 0.125.
T = 146 days = (146/364) = 0.4011
i = $245
Thus;
245 = (P × 0.125 × 0.4011)/100
Thus;
P = (245 × 100)/(O.125 × 0.401)
P = $488778
The soccer team played a total of twenty-four games and won four more games than they lost. What was the team's win-loss record for the season ? wins _____. Losses _____.
Answer:
Wins _16____. Losses _12____.
Step-by-step explanation:
Since they played 24 games, the wins and losses must add to 24.
Wins losses
24 0
23 1
22 2
21 3
20 4
19 5
18 6
17 7
16 8
15 9
14 10
13 11
12 12
11 13
10 14
9 15
They won 4 more than they lost is 16 W and 12 L.
6x + 3 = 9x - 12 solve for x
Answer:
x = 5
Step-by-step explanation:
6x + 3 = 9x - 12
+12 +12
6x + 15 = 9x
-6x -6x
15 = 3x
/3 /3
x = 5
To check work:
6(5) + 3 = 9(5) - 12
30 + 3 = 45 - 12
33 = 33
A culture of bacteria has an initial population of 54000 bacteria and doubles every 7 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 8 hours, to the nearest whole number?
Answer:
P
t
=119241.6675≈119242
Step-by-step explanation:
Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
(a)
Calculate the total savings from the first store, including the savings on the next purchase.
$
(b)
Calculate the total savings from the second store
Answer:
Total saving from First Store = $ 1.5 + $ 5 = $ 6.5
Total saving from Second Store = $ 5
Step-by-step explanation:
Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
To find - (a) Calculate the total savings from the first store, including the savings on the next purchase.
(b) Calculate the total savings from the second store.
Proof -
Given that,
Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5
So,
Total saving from First Store = $ 1.5 + $ 5 = $ 6.5
Now,
Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5
So,
Total saving from Second Store = $ 5
quare cm
Read the following problems. Sketch each shape and label it.
Then, answer the questions, showing your work below each questions
(Gehad drew a square that has side lengths of 8 cm.
o
SU
The Perimeter =
The Area =
...
X
If the sum of six consecutive odd integers is 252, what is the smallest of the six integers?
Answer:
37 smallest number
Step-by-step explanation:
If your integer is x
The next 5 odd integers are:
x+2
x+4
x+6
x+8
x+10
x+x+2+x+4+x+6+x+8+x+10=252
6x+30=252
6x=252-30
6x=222
x=222/6
x=37
The number 36 is 12% of:
Answer:
36 is 12% of 300.
Step-by-step explanation:
Hopw this helped. Have an Amazing Day, Evening, or Night! : )
I don’t Understand this who can help me
Step-by-step explanation:
The area of a square is
[tex] {s}^{2} [/tex]
where s is the side length.
It is given that the smaller square side length is s so that means the area of that smaller square is the formula above.
The longer square is twice the side length of the side length of the smaller square.
Since all squares have equal sides, that means all the side are twice than the smaller square sides.
We can represent that larger square area by
(4s) squared
To find how many smaller squares it would take to fill the larger square divide the formula by each other.
(4s)÷s squared =4
please someone help me
Answer:
I think the answer is D
“Snoqualmie” is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table.
Answer: E ( (17)(50)/88 )
Step-by-step explanation:
(Row total * column total) / table total
Question 5 of 10
Which solid has a greater volume?
O A. Figure A has a greater volume.
B. Figure B has a greater volume.
22
O C. They are equal.
OD. It cannot be determined.
SUBMIT
Answer:
C. They are equal
Step-by-step explanation:
Both have the same volume 24
Both Figure have same Volume.
What is Volume?Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.
We have,
Cone:
Volume of Cone = 1/3 πr²h
= 1/3 (3.14)(3)²8
= 75.36 unit³
Cylinder:
Volume of Cylinder = πr²h
= (3.14)(2)²6
= 75.36 unit³
Thus, Both figures have Equal volume.
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INDEPENDENT PRACTICE 3. Teresa makes a circular pizza with a 14-inch diameter. Which is the approximate area of her pizza? A. 43.96 in? B. 87.92 in2 C. 153.86 in2 D. 615.44 in?
A. 43.96in?
Step_by_step explanationgraph
[tex]y = - 2 - {e}^{ - \frac{ - x}{2} } [/tex]
what are the transformations??
Graph attached
Y intercept is at -3Which net represents this solid figure?
Rectangular prism 5.
Net of a rectangular prism 10.
Net of a cube 4.
Net of a rectangular prism 9.
Net of a triangular prism 10.
Answer:
Net of rectangular prism 9
Step-by-step explanation:
I took the test
The ___ is the ratio of a length of the new figure to the corresponding length on the original figure