Answer:
13 exercises
Step-by-step explanation:
The number of exercises in the exam = 20
The points received for questions solved correctly = 8 points
The points taken off for exercises solved wrong = 5 points
The number of points Ben has = 13 points
Let 'c' represent the number of exercises he solved correctly and let 'w' represent the number of exercises he solved wrong, we have;
0 < c + w ≤ 20...(1)
8·c - 5·w = 13...(2)
Given that 5·w has either a 0 or 5 as the unit digit, and x3 = x8 - 5, such as 13 = 18 - 5, we have that the last digit of 8·c is 8, and the last digit of 5·w is 5
The products of 8 with '8' as the unit are, 8 × 6, 8 × 11, and 8 × 16
Therefore, when c = 6, and w = 7, we get;
8 × 6 - 5 × 7 = 13
The number of exercises Ben solved, c + w = 6 + 7 = 13 < 20
When c = 11, we get;
8 × 11 - 5 × 15 = 13
11 + 15 = 26 > 20
The number of exercises Ben solved = 13 exercises
A city has a population of 300,000 people. Suppose that each year the population grows by 4.5% . What will the population be after 8 years?
Answer:
population=300,000
population size per year=4.5%
population size for 8 years=8 × 4.5%
=0.36
=108000
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q Prove: Triangle T S R Is-congruent-to Triangle Q R S Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent. Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent. Step 2: We know that Angle T Is-congruent-to Angle Q because it is given. Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property. Step 4: Triangle T S R Is-congruent-to Triangle Q R S because of the ASA congruence theorem. of the AAS congruence theorem. of the third angle theorem. all right triangles are congruent.
Answer:
Its b on edge
Step-by-step explanation:
yes
The Triangle TSR ≅ QRS by AAS congruence, the correct option is B.
What is a Triangle?A triangle is a polygon with three sides, vertices and three angles.
The triangle TSR and QRS are right-angle triangles, in a right angle triangle one of the angle is equal to 90 degree,
'These triangles have to be proved congruent,
They both have the right angle.
The measure of Angle T = Angle Q,
They both have a common side,
So, they both are congruent by AAS congruence theorem.
To know more about Triangle
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A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?
1 km = 1000 meters
2 km = 2 x 1000 = 2,000 meters
Area = length x width
Area = 2,000 x 8.3 = 16,600 square meters
Cost:
Multiply total area by cost per square meter:
16,600 x 30 = £498,000
A dress that costs $66.99 is on sale for 1/5 off. What is the sale price of the dress? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
The formula to figure this out is
[tex]C=66.99(1-.2)[/tex] where .2 is 1/5 in decimal form. What this means is that you may be saving 1/5 but you're still spending 4/5.
C = 66.99(.8) so
Cost = $53.59
Question 2 of 10 What is the length of side s of the square shown below? 45 6 09 90° O A. 6 O B. 2 O C. 32 O D. 5 O E. 3 OF. 6-12
Answer:
C
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{6}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2s = 6[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
s = 3[tex]\sqrt{2}[/tex] → C
In the triangle below, what is the length of the side opposite the 60° angle? O A. 3 O B. v O C. VE OD. 6
Answer:
I'm not sure what you mean by "O A. 3 O B. v O C. VE OD. 6", if that's just options for answers or something, But the side length opposite of the 60° angle would be 3.
help me please........
Answer:
I believe the second option.
Step-by-step explanation:
Consider the sequence 2/4, 3/5, 4/6, 5/7,... Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to [infinity].
Answer:
The sequence converges to 1.
Step-by-step explanation:
Sequence 2/4, 3/5, 4/6, 5/7
This sequence can be summarized as:
[tex]\sum_{n=0}^{\infty} \frac{n+2}{n+4}[/tex]
To test if it converges, we can calculate the limite of [tex]\frac{n+2}{n+4}[/tex] as n goes to infinite.
Limit:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4}[/tex]
Considering only the terms with the highest exponent in the numerator and the denominator:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4} = \lim_{n \rightarrow \infty} \frac{n}{n} = \lim_{n \rightarrow \infty} 1 = 1[/tex]
Thus, the sequences converges to 1.
Will mark brainliest
Answer:
the answer would be 270
Step-by-step explanation:
i can explain later:
since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.
(a²+b²)= hihihihihihihihi
Answer:
? This isn't a problem
Step-by-step explanation:
Combine these radicals. -6v100 + V36
Answer:
-54
Step-by-step explanation:
[tex]-6\sqrt{100} +\sqrt{36}[/tex]
-6 * 10 + 6
-60 + 6
= -54
100 = 50 *2
= 25 * 2 * 2
= 5 * 5 * 2 * 2
= [tex]5^{2} *2^{2}[/tex]
5 * 2 = 10
~~~~~~~~~~
36 = 6 * 6 = 3 * 3 * 2 * 2 = 3^2 ^ 2^2
3*2 = 6
Evaluate the expression (4p - m) where m=-4 and p=2
Show the work plz.
Answer:
12
Step-by-step explanation:
(4p - m)
Let m = -4 and p=2
( 4* 2 - (-4))
Multiply
8 - -4
Add
8+4
12
Answer:
Step-by-step explanation:
m = - 4 & p =2
4p - m = 4*2 - (-4)
= 8 + 4
= 12
a hiker in africa discovers a skull that contains 41% of its original amount of c-14. find the age of the skull to the nearest year
9514 1404 393
Answer:
7371 years
Step-by-step explanation:
The half-life of Carbon-14 is reportedly about 5730 years. Then the exponential decay equation can be written as ...
f = (1/2)^(t/5730)
where f is the fraction remaining after t years.
Taking logarithms and solving for t, we find ...
log(f) = (t/5730)log(1/2)
t = 5730·log(f)/log(1/2)
For the fraction f = 0.41, the age is approximately ...
t = 5730·log(0.41)/log(1/2) ≈ 5730·1.286304 ≈ 7371 . . . years
The age of the skull could be estimated to be 7371 years.
The root for an equation x²-px+6=0 ls 3. Find the value of p
Jawapan / Anne
IP
Answer:
5
Step-by-step explanation:
Given that 3 is a root of the equation x²-px+6=0
To find the value of p, substitute 3 into the equation for x
Hence x²-px+6=0
becomes
3^2 - 3p + 6 = 0
9 -3p + 6 = 0
collect like terms
-3p = -9 - 6
-3p = -15
Divide both sides by -3
p = -15/-3
p = 5
CAN SOMEONE PLEASE HELP ME REAL QUICK ILL GIVE BRAINLIEST! :P
A cube-shaped box has a volume
of 95 cm. Which equation would
you use to determine the length
of one edge, E, of the box?
Answer:
v= 4.562902635
v =l*w*h
in a cube all are the same
V=x^3
v = [tex]\sqrt[3]{95}[/tex]
v= [tex](95)^{1/3}[/tex]
Step-by-step explanation:
Help with this question.
128³÷128²+272²+272³
128+272=400÷128*272=400
400÷400=1
25 is a perfect square. Which of the following is a perfect cube?
[A] 1
[B] 4
[C] 16
[D] 36
Answer:
the perfect cube is [A] 1
The polynomial function 1x) = 5x^5+16/5x-3
is graphed below
Which is a potential rational root of f(x) at point P?
jessica's piggy bank has 100 coins, including pennies, nickels, dimes and quarters/ together they are worth $8.36. there are nine more dimes than pennies and five times as many nickels as pennies. How many of each kind of coin does jessica have in her piggy bank?
Answer:
the bank contains 30 nickels and 70 dimes.
Step-by-step explanation:
Sidney bought 18 toy cars. The cars came in p packages. Write an expression that shows
how many toy cars were in each package.
Answer:
[tex]\frac{18}{p}[/tex]
Step-by-step explanation:
Which statement can be represented by the equation 18 divided by m = 7.2?
A number, m, less than 18 is seven point two.
Eighteen decreased by a number, m, is seven point two.
A number, m, divided by 18 is seven point two.
Eighteen divided by a number, m, is seven point two.
Answer:
A number,m,is seven point two . Eighteen divided by a number,m,is seven point two
Answer:
its c
Step-by-step explanation:
just to make it easier for you:)
Which expression is equivalent to 3 sqrt32x8y10?
O 4x2y3(3 sqrt2x2y)
O 2x4y5(3 sqrt4)
O 2x2y3(3 sqrt4x2y)
O 4x4y5(3 sqrt2)
Answer: [tex]2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{32x^{8} y^{10} } =\sqrt[3]{2^{3} \cdot 2^{2} \cdot x^{2} \cdot (x^{2} )^{3} \cdot y \cdot (y^{3})^{3} } =2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]
Answer:
Option C :
[tex]\sqrt[3]{32x^8y^10} = 2x^2 y^3 \sqrt[3]{4x^2 y}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{32x^8y^{10}}} = ( 32 x^8 y^{10})^{\frac{1}{3}}[/tex]
[tex]= ( 2^5 \times x^8 \times y^{10})^{\frac{1}{3}}\\\\= ( 2^{5\times\frac{1}{3}} \times x^{8 \times \frac{1}{3}} \times y^{10 \times \frac{1}{3}})\\\\=(2^{\frac{3}{3} + \frac{2}{3}}} \times x^{\frac{6}{3} + \frac{2}{3}} \times y^{\frac{9}{3} + \frac{1}{3}})\\\\= 2 \times 2^{\frac{2}{3}} x^2 \times x^{\frac{2}{3}} \times y^3 \times y^\frac{1}{3}\\\\=2x^2 y^3 \times 2^{\frac{2}{3} \times }x^{\frac{2}{3}} \times y^{\frac{1}{3}}\\\\=2x^2 y^3 (2^2x^2 y)^{\frac{1}{3}}\\\\= 2x^2y^3 \ \sqrt[3]{ \ 4 x^2 \ y }[/tex]
3) Find the volume of the figure below. Round to the tenth place
PLEASE HELP!!! I have 7 minutes to awnser this
Answer: It's A
Step-by-step explanation:
It takes Priti 4 hours to drive from Ashdown to Bridgeton at an average speed of 50 mph. She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph. Assuming Priti doesn't stop, what is her average speed from Ashdown to Carton to 1 dp?
Answer:
Her average speed from Ashdown to Carton is approximately 48.4 mph
Step-by-step explanation:
The time and speed of the motion of Priti are as follows;
The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours
The average speed she drove from Ashdown to Bridgeton = 50 mph
The distance she drove from Bridgeton to Carton, d₂ = 30 miles
Her average speed from Bridgeton to Carton = 40 mph
The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles
The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour
Average velocity, [tex]v_{ave}[/tex] = (Total distance traveled, Δd)/(Total time, Δt)
Δd = d₁ + d₂, Δt = t₁ + t₂
Δd = 200 miles + 30 miles = 230 miles
Δt = 4 hours + 0.75 hour = 4.75 hours
∴ The average velocity, [tex]v_{ave}[/tex] = (230 miles)/(4.75 hours)
∴ [tex]v_{ave}[/tex] = (920/19) mph
Her average speed from Ashdown to Carton, rouded to 1 d,p, [tex]v_{ave}[/tex] ≈ 48.4 mph
What's the area of the shaded region?
Answer:
99cm²
Step-by-step explanation:
Area of shaded region=(area of outer rectangle)-(area of inner triangle)
Area of shaded region=(L×W)-(bh/2)
=(12×10)-((6×7)/2)
=120-(42/2)
=120-21
=99cm²
A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery
Answer:
The power is 1.68 W.
Step-by-step explanation:
Voltage, V = 3 V
charge, q = 0.56 C
time, t = 1 s
Let the power is P.
P = V q /t
P = 3 x 0.56 / 1 = 1.68 W
Sonia took a loan of $10 000 from ABC bank tob pay for a renovation at home. The bank offered her a period of 30 months at a rate of 10.5%. to repay the loan:
a) Calculate the Simple Interest she would pay in 30 months.
b) Calculate the Total amount Sonia would have to repay the bank.
can someone help me find what a,b and c are?
Answer:
7 < 8.5 < 9
Step-by-step explanation:
Well < and > mean greater and less than so put it from the smallest to the largest
The number of boysin a club is 48 and the number of girls is 20. Express this ratio in its simplest form
Answer:
the ratio is 12:5
Step-by-step explanation:
48:20 divided in half 24:10 divided in half 12:5