Answer:
True, False, True
Step-by-step explanation:
Calculate the unit price of a football and a baseball
2 footballs cost $17.00 , then
1 football costs $17 ÷ 2 = $8.50
A baseball is 50% of a football, thus
cost of base ball = 50% of $8.50 = 0.5 × $8.50 = $4.25
(10)
4 footballs cost $34.00 ( given in table )
6 baseballs cost 6 × $4.25 = $25.50 < $34
Thus 6 baseballs < 4 footballs is True
(11)
The difference in price = $8.50 - $4.25 = $4.25
Thus the difference in price is greater than $3, not less False
(12)
3 footballs cost 3 × $8.50 = $25.50
6 baseballs cost 6 × $4.25 = $25.50
Thus the costs are equal is True
Answer:
Answer:
see explanation
Step-by-step explanation:
1
(a)
If 2 chords of a circle intersect then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord.
(b)
If 2 secants are drawn from an external point to a circle then the product of the measures of one secant's external part and the entire secant is equal to the product of the measures of the other secant's external part and that entire secant.
(c)
If a tangent and a secant are drawn from an external point to a circle , then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.
2
A radian is defined as the angle subtended at the centre of a circle by an arc equal to the radius of the circle.
1 revolution = 360° = 2π radians
1 radian = \frac{360}{2\pi }
2π
360
≈ 57°
3
(a)
An inscribed circle of a triangle is a circle drawn inside a circle so the circle barely touches the sides of the triangle.
(b)
The incentre is at the point of intersection of the triangle's 3 angle bisectors.
(c)
A circumscribed circle of a triangle ( circles drawn around the triangle so that the circle passes through each of the triangles's vertices.
(d)
The circumcentre is at the intersection of the perpendicular bisectors of the triangle's sides.
'
Michael's car can travel 25 miles on one gallon of gas. The cost of gas is $3.75 per gallon. Which equation could calculate the total cost of gas, y, based on the number of miles traveled, x
The quotient of 5 plus a number w and negative 5 is 36
155 i think this is correct if not its 205
help!!!!!please!!!!!!!
4x = 64 + 200
what is x
x=66
Step-by-step explanation:
4x = 200 + 64 > 4x = 264 > x= 66
Answer:
x=66
Step-by-step explanation:
Steps
4x=64+200
4x=264
x=66
please help with this question (d+2)(-7)
Answer:
-7d-14
Step-by-step explanation:
First, let's distribute -7 to (d+2)
-7xd
-7x2
We will get -7d-14
Compute $\sqrt{25^2-7^2}$.
Answer:
24
Step-by-step explanation:
[tex]\sqrt{25^2-7^2}\\\\=\sqrt{(25-7)(25+7)}\\\\=\sqrt{18(32)}\\\\=\sqrt{9*2*2^5}\\\\=\sqrt{3^2\cdot 2^6}\\\\=\sqrt{(3\cdot2^3)^2}\\\\=3\cdot2^3\\\\=3\cdot8\\\\=24[/tex]
Answer:
24
Step-by-step explanation:
First we compute the number under the radical.
We have 25² = 625 and 7² = 49, so 25² - 7² = 625 - 49 = 576.
Thus, √25² - 7² = √576 = √24², which is 24.
In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8
In 1992, Jason bought a gallon of gas for $1.15. Yesterday, he bought a gallon of gas for $2.12. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
84.3%
B.
45.8%
C.
54.2%
D.
15.7%
Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.
Answer:
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
Step-by-step explanation:
Given that:
A country population at any given time (t) is:
[tex]\dfrac{dP}{dt}= kP+I[/tex]
where;
P = population at any time t
k = positive constant
I = constant rate of immigration into the country.
Using the method of separation of the variable;
[tex]\dfrac{dP}{kP+1}= dt[/tex]
Taking integration on both sides:
[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]
[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]
[tex]log (kP + I) =k t+kc_1[/tex]
By applying the exponential on both sides;
[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]
[tex]KP+I = e^{kt} *e^{kc_1}[/tex]
Assume [tex]e^{kc_1 }= C[/tex]
Then:
[tex]kP + I = Ce^{kt}[/tex]
[tex]kP = Ce^{kt}-I[/tex]
[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]
When time t = 0, The Total population of the country is also [tex]P_o[/tex]
[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]
[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]
[tex]P_o = \dfrac{C-I}{k}[/tex]
C - I = kP₀
C = kP₀ + I
Substituting the value of C back into equation(1), we have:
[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]
[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?
im guessing 800 50X4 = 200 and 200X4 = 800
i never learned this but i hope its correct.
By what percent is 16 greater than 12.
Answer:
28 i assume.
Answer:
The answer is 28% :))
PLZ HELP ME WITH THIS!!! I WOULD MARK YOU BRAINLIEST!!!
the answer will be 2.5 hope that helps you
Answer:
2.5 or in other terms 2 1/2
Step-by-step explanation:
Explain how to solve the equation.
B - 7 = 12
Answer:
So if you take the 12 and add it to the 7 you get 19 then do 19 mines 7 and you get 12 so always add the sum to the number given to get the missing number
Step-by-step explanation:
Have a great day
If point C lies between two points A and B such that AC=BC, then
Answer:
If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.
Please help!!!! I will mark brainliest!!
Answer:
1 4 6 8 Have a good night ✨ ☺
12 points!! PLEASE
y =(x-3) - 4
rewrite these in standard and factored form!!
Standard form:
x - y = 7
Factored form:
y = x - 7
Answer:
y = x - 3 - 4
y = x - 7
(x - 7 = y)
(x = y + 7)
Step-by-step explanation:
Hope you got it.
Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent
Answer:
Explicación más abajo
Step-by-step explanation:
Integración Indefinida
La integral
[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]
Se resuelve con el cambio de variables:
t=arcsen(x)
Una vez hechos los cambios, la integral se resuelve en función de t:
[tex]I=sen(t)-t.cos(t)+C[/tex]
Hay que devolver los cambios para mostrarla en función de x.
El cambio de variables también se puede escribir:
x=sen(t)
Recordando que
[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]
Entonces:
[tex]cos(t)=\sqrt{1-x^2}[/tex]
Devolviendo los cambios:
[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]
Es la respuesta correcta
Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?
$13
$60
$70
$73
Answer:
$ 60
Step-by-step explanation:
hope it helps!
.....
Answer:
It is B
Step-by-step explanation:
Got it right on unit review
What is the answer answer and plz give me step by step explaining
Answer:
x = 5
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
We evaluate the numbers in the brackets first.
(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)
6 + 8x - 8 = 6x + 8
The left hand side of the equation is not exactly simplified, so we will evaluate it further first.
(6 - 8 = -2)
8x - 2 = 6x + 8
Now we can start shifting the x and the numbers separately.
Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.
8x - 6x = 8 + 2
Further evaluation
2x = 10
Now we can simply find x.
Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.
x = 10 ÷ 2
Evaluate.
x = 5
Using 3.14 for π, calculate the circumference and area of the circle below. Include your answer to the hundredths place.
Circumference:
feet and the area ft squared:
If you don't know the answer please don't respond need ASAP
Answer:
37.68
Step-by-step explanation:
What is the GCF of the expression -x2y22 - xy2z?
Answer:
i dont onderstand Thais
6 ×3(2+9)..can you give the answer of it please
Answer:
Hope this may helps you
Step-by-step explanation:
6×3(11)
6×33
198
Answer:
198
Step-by-step explanation:
6 ×3(2+9)
= 6×3×11
= 6×33
= 198
What is the measurement of Angle x. please explain
Help out pleaseeeeeeeeeeeeeeeee
Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo
Answer:talk some English dude
Step-by-step explanation:
Use the commutative property of multiplication to rewrite 10.5.12. Which expression is equivalent? O A. 10.5.(5+5) OB. 10. 12.5 O C. (10.5) + 12 OD. 10 + 5 + 12
Answer:
b
Step-by-step explanation:
i did the math for over an hour and got the same answer 25 times
Why was the ancient Egyptian teenager confused?
Answer: her daddy was a mummy
Step-by-step explanation:
Solve:
-3(1 + 4x) = 33
x =
Solve:
-4(-6y – 3) = 12
y =
Solve:
-(x – 8) = -2
x =
Solve:
−3(4r − 8) = −36
r =
Solve:
6(−x − 3) = 24
x =
Solve:
3(x − 2) = 18
x =
Solve:
2(4x + 4) = 24
x =
Please help
Answer:
−
3
(
1
+
4
)
=
3
3
Step-by-step explanation:
Answer:
1: -3
2: 24
3: 10
4: 5
5: -7
6: 8
7: 2
Step-by-step explanation:
hope this helps:)
(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?
Answer:
9, 54=6r
Step-by-step explanation:
54/6=9 rocks
54=6r
Can anyone solve this for me? If so please type the steps!
Answer:
It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest
Step-by-step explanation:
Answer:
I don't get it the two triangles look the same
Step-by-step explanation:
Lacey is buying a new car. She can get a station wagon, a truck, a hatchback, or a convertible. The outside paint comes in yellow or green. The seats can be covered with white leather or gray fabric. Given these choices, how many different combinations does Lacey have to choose from?
Step-by-step explanation:
4 different vehicles,
2 different paints,
2 different seats.
Total number of combinations = 4 * 2 * 2 = 16.