Answer:
602,000
Step-by-step explanation:
Answer:
602,0000
Step-by-step explanation:
10^5 = 100,000
6.02 x 100,000
I simply moved the numbers forward by 5 spaces.
Jahnay is following this recipe to make cakes. Jahnay uses 600 g of sugar. How many cakes is Jahnay making?
Answer:
1124
Step-by-step explanation:
hmm yeah I'm not sure what to do about this but I'm sure
Jahnay is making 4 cakes when she uses 600 g of sugar.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
We have to determine the number of cakes when she uses 600 g of sugar.
Let the number of cakes would be x
According to the given question, we can write the proportion would be as:
150 g sugar : 1 cake = 600 g sugar : x cake
⇒ 150/1 = 600/x
Apply the cross-multiplication operation,
⇒ x = 600/150
Apply the division operation, and we get
⇒ x = 4
Therefore, Jahnay is making 4 cakes.
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The question seems to be incomplete the missing part has been attached below
can someone with This thank you!!
Answer:
(a)
Coordinate A: (0,-3)
Coordinate B: (1,0)
Coordinate C: (5,2)
(b)
1, 5, 6, 7
Plot the point whose cylindrical coordinates are given. Thenfind the rectangular coordinates of this point.
1. a] (2, π/4, 1)
b] (4, -π/3, 5)
The rectangular coordinates of the point are approximately (1.414, 1.414, 1).
The rectangular coordinates of the point are approximately (-2, -3.464, 5).
The point with cylindrical coordinates (2, π/4, 1) corresponds to the cylindrical radius of 2, angle of π/4 (45 degrees), and height of 1. To find the rectangular coordinates, we can use the following formulas:
x = r * cos(θ)
y = r * sin(θ)
z = h
Plugging in the values, we get:
x = 2 * cos(π/4) ≈ 1.414
y = 2 * sin(π/4) ≈ 1.414
z = 1
b] The point with cylindrical coordinates (4, -π/3, 5) corresponds to the cylindrical radius of 4, angle of -π/3 (-60 degrees), and height of 5. Using the same formulas as above, we can calculate the rectangular coordinates:
x = 4 * cos(-π/3) ≈ -2
y = 4 * sin(-π/3) ≈ -3.464
z = 5
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you shuffle a standard deck of cards, then draw four cards.(a) what is the probability all four are the same suit? (b) what is the probability all four are red? (c) what is the probability each has a different suit?
a) Probability that all four are the same suit = 0.0106 b) Probability that all four are red =0.055 c) Probability each has a different suit = 0.105
Total number of cards =52
No. of cards for each suit =13
Total types of four suit =4 (heart, spades, diamonds, clubs)
Total numbers of ways = \(^{52}C_4\) =270,725 ways
a) number of ways choosing four cards of the same suit
= \(^{13}C_4+^{13}C_4+^{13}C_4+^{13}C_4\)
= \(4 \times ^{13}C_4\\\)
= \(4 \times \frac{13!}{4!(13-4)!}\)
=2860 ways
Probability that all four are the same suit is 2860/270,725 = 0.0106
b) Number of ways all four cards are red
=\(^{26}C_4\)
= 4,950 ways
Probability that all four are red = 4950/270,725 =0.055
c) Number of ways each card has a different suit
=\(^{13}C_1\times^{13}C_1\times^{13}C_1\times^{13}C_1\)
= 28,561 ways
Probability each has a different suit is 28561/270725 = 0.105
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Twelve is half of eighteen less than twice a number.
What is the number?
Help asap on a test
coco ggcd ya tv xxx TN can
he wins 2 blue ball and lose 3 red balls, after 5 days he has the same amount of blue and red balls how many red balls have in the start?.
If someone wins 2 blue balls and loses 3 red balls every day for 5 days, and ends up with the same number of blue and red balls, then they must have started with 25 red balls.
Explanation:
Let x be the number of red balls the person started with. After 5 days, they would have won 2 × 5 = 10 blue balls and lost 3 × 5 = 15 red balls. So, the person would have a total of (x - 15) red balls and (10 + 2 × 5) = 20 blue balls. We know that the person ends up with the same number of blue and red balls, so we can set up the equation:
x - 15 = 20
Solving for x, we get:
x = 35
Therefore, the person started with 35 red balls. However, this does not satisfy the condition that the person ends up with the same number of blue and red balls, since 35 - 15 = 20 ≠ 20 blue balls. So, we made a mistake in our assumption that the person started with x red balls. Let's try again:
Let y be the number of red balls the person started with. After 5 days, they would have won 2 × 5 = 10 blue balls and lost 3 × 5 = 15 red balls. So, the person would have a total of (y - 15) red balls and 20 blue balls. We know that the person ends up with the same number of blue and red balls, so we can set up the equation:
y - 15 = 20
Solving for y, we get:
y = 35
Therefore, the person started with 35 red balls and ended up with 20 blue balls and 20 red balls, satisfying the given condition. So, the answer is that the person started with 25 red balls.
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Jo borrowed $1,900 for 8 months from a bank. The bank discounted the loan at 3. 5%.
a. How much interest did Jo pay the bank for the use of its money?
b. How much did he receive from the bank?
c. What was the actual rate of interest he paid?
Jo paid an actual rate of interest of approximately 2.19% on the loan.To calculate the interest paid by Jo to the bank for the loan, we can use the formula for simple interest:
Interest = Principal * Rate * Time
a. How much interest did Jo pay the bank for the use of its money?
Given:
Principal (P) = $1,900
Rate (R) = 3.5% = 0.035 (as a decimal)
Time (T) = 8 months
Using the formula for interest:
Interest = 1,900 * 0.035 * (8/12)
Interest = $33.07
Therefore, Jo paid $33.07 in interest to the bank for the use of its money.
b. How much did he receive from the bank?
To determine the amount Jo received from the bank, we need to subtract the interest from the principal:
Amount received = Principal - Interest
Amount received = $1,900 - $33.07
Amount received = $1,866.93
Therefore, Jo received $1,866.93 from the bank.
c. What was the actual rate of interest he paid?
To calculate the actual rate of interest Jo paid, we need to compare the interest paid to the principal:
Actual rate of interest = (Interest / Principal) * (12 / Time)
Actual rate of interest = ($33.07 / $1,900) * (12 / 8)
Actual rate of interest ≈ 0.0219 or 2.19% (rounded to two decimal places)
Therefore, Jo paid an actual rate of interest of approximately 2.19% on the loan.
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Solve the inequality
3x+8<43 - 2x
Answer:
x <7
Step-by-step explanation:
Write the factored form equation for the polynomial with zeros at x= 0, -2, 5i
Answer:
x(x+2)(x^2+5)
x = 0
x+2 = 0
x = -2
x^2 + 5 = 0
x^2 = -5
sqrt of - = i
x = 5i
Un tren en marcha acelera a razón de 12 metros por segundo ¿ Cual seria tu masa si la fuerza aplicada fuera de 10N ?
If the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.
The mass of the object cannot be determined with the given information. Acceleration is related to force and mass through Newton's Second Law: F = ma. However, in this case, we are given the acceleration and force, but not the mass. To find the mass, we would need either the acceleration and the force, or the force and the mass.
However, if we assume that the force and acceleration are both in the same direction, we can use the formula F = ma to find the mass. Rearranging the formula, we get m = F/a.
Substituting the given values, we get:
m = 10 N / 12 m/s²
m = 0.83 kg
So, if the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.
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Complete Question:
A moving train accelerates at a rate of 12 meters per second. What would your mass be if the applied force were 10N?
What are the coordinates of the center and the length of the radius of the circle
whose equation is-y-12y-20 25-07
a) center (0.5) and radius 7.5
c) center (0-6) and radius 75
b) center (0.12) and radius 45
d) center (-12) and radius 4,5
The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;
Center (0, 6) and radius 7.5
What is the general form of the equation of a circle?The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;
(h, k) = The coordinates of the center of the circle
r = The measure of the length of the radius
The possible equation obtained from a similar question on the internet can be presented as follows;
x² + y² - 12·y - 20.25 = 0
The above equation can be evaluated using the completing the square method and excluding the x² term as follows;
y² - 12·y - 20.25 = 0
y² - 12·y = 20.25
y² - 12·y + (-12/2)² = 20.25 + (-12/2)²
y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25
(y - 6)² = 56.25
Therefore;
y - 6 = √(56.25) = ±7.5
The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²
The center of the circle is therefore;
(h, k) = (0, 6)
The radius of the circle, r = 7.5
The possible correction is therefore, option (a), where the 5 is a typing error
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Graph the inequality on the axes below.
3x + y ≤ -3
Answer:
y ≤ -3x - 3
Step-by-step explanation:
The graph crosses the y axis at -3. The slope is -3. (0, -3) . From that point do down vertical 3 spaces and horizontally 1 space. You will be at the point (1,-6) Draw a line to join those 2 points. The inequality is ≤ that means the solutions are the points on the line and below the line. This is shown in the pink shading.
y ≤ -3x - 3
Step-by-step explanation:
The graph crosses the y-axis at -3. The slope is -3. (0, -3) . From that point do down vertical 3 spaces and horizontally 1 space. You will be at the point (1,-6) Draw a line to join those 2 points.
The inequality is ≤ which means the solutions are the points on the line and below the line. This is shown in the pink shading.
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In a certain triangle, one side has a measure of 18 and another side has a measure of 21. If the triangle is isosceles, then which of the following could be the measure of the third side? A. 18 B. 15 C. 39 D. 3 Reset Submit
Answer:
18
Step-by-step explanation:
in an isosceles triangle, two of the sides are the same
Length of a right t !!!!!!!!!!!!!
The population (in millions) of a city, t years from now is given by P(t) = 1.6e025 +7. Make sure to include the units for all parts. a) Find the instantaneous rate of change of the population 10 years from now. Round your answer to the nearest whole number of people. b) Find P(10) c) Find 1.6e0.25¹ +7 dt d) Explain what the difference is between P(10) and 1.6e2 +7 dt. 0251
The derivative of P(t) = 1.6e^(0.25t) + 7 is given by P'(t) = 0.4e^(0.25t). Evaluating this at t = 10, we get P'(10) = 0.4e^(0.25*10) ≈ 0.4e^2.5. Rounding this to the nearest whole number gives an approximate value of 11 people per year.
a) The instantaneous rate of change of the population 10 years from now can be found by taking the derivative of the population function with respect to time and evaluating it at t = 10.
b) To find P(10), we substitute t = 10 into the population function: P(10) = 1.6e^(0.25*10) + 7. Evaluating this expression gives the population of the city 10 years from now.
c) The expression 1.6e^0.25t + 7 dt represents the indefinite integral of the population function with respect to time. It represents the accumulated change in population over time, and when evaluated within specific limits, it gives the total change in population within that time interval.
d) The difference between P(10) and 1.6e^2 + 7 dt is that P(10) represents the population of the city 10 years from now, whereas 1.6e^2 + 7 dt represents the result of integrating the population function over a specific time interval. The former gives a specific population value at a specific time, while the latter represents the accumulated change in population within a certain time range.
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factor the algebric expression 32a+36
Answer:
a = 1.125
is your compleate full answer
Answer:
the factorised form is 4(8a+9)
Please help me I’ll make u brainliest I swear please
Since the provided equation is inconsistent, it cannot intersect.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
we can see that the second set of equation,
4x+2y=12
20x+10y=30
4/20=2/10≠12/30
1/5=1/5≠2/5
The given equation is inconsistent so it does not intersect.
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If tanθ = 1/3, then secθ = _____.
Answer:
sec x = √10 /3
Step-by-step explanation:
tanx = 1/3
tan²x = (1/3)²
= 1/9
Trigonometric identity
sec²x - tan²x = 1
sec²x = 1 + tan²x
sec²x = 1 + 1/9
= 10/9
Now, sec x = √(10/9)
= √10 / 3
Hope this answer helps you....
The model represents an inequality
Answer:
A) x≤-5
Step-by-step explanation:
4x+12≤-8
4x≤-20
x≤-5
Answer:x <_>Step-by-step explanation:
It takes a man 6 hours to row a boat 24km upstream and covers a distance of 36 km downstream in 6 hours. What will be the speed of the man in still water
Answer:
5 km/h
Step-by-step explanation:
Speed of man in still water = s
Speed of current = c
Speed upstream = s - c
Distance upstream = 24 km
Time upstream = 6 hours
Speed downstream = s + c
Distance downstream = 36 km
Time downstream = 6 hours
Speed Equation
speed = distance/time
distance = speed × time
d = st
We write a distance equation for upstream and a second distance equation for downstream.
Upstream:
d = st
24 = (s - c) × 6
Divide both sides by 6 and switch sides:
s - c = 4 Equation 1
Downstream:
d = st
36 = (s + c) × 6
Divide both sides by 6 and switch sides.
s + c = 6 Equation 2
We now have two equations in two variables. We use equations 1 and 2 as a system of equations.
s - c = 4
s + c = 6
Add the equations to use the addition method.
2s = 10
s = 5
Answer: 5 km/h
Solve. 8 3/5=3/4x−5 1/2 Enter your answer as a mixed number in simplest form in the box.
The value of x in the expression is 18(24/30).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
8(3/5) = (3/4)x - 5(1/2)
43/5 = 3x/4 - 11/2
43/5 + 11/2 = 3x/4
(86 + 55)/10 = 3x/4
141/10 = 3x/4
3x = 141 x 4 / 10
x = 564/30
x = 18(24/30)
Thus,
The value of x is 18(24/30).
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Solve 3. 16^2 + b = 34^2
someone help plz
Answer:
b = [(34)^2] / [(16)^2] = 4.515625
What is the value of X I’ll give brainlist please someone help me
Answer:
69.333 or 208/3
For every three girl taking clae at a martial art chool, there are 4 boy who are taking clae. Suppoe there are 236 boy taking clae at the chool. Predict the number of girl taking clae at the chool
Using Proportion formula,
the proportion that could be used to predict the number of girls taking classes at the school is 3:4
the number of girls takon class at scool is 177.
Proportion :
A proportion is simply an equation that equates two ratios.For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 ..
We have given that,
For every three girls taking class , there are 4 boys who taking class in school .
so, ratio of girls to boys who are taking classes at school is 3:4
let x be an integer which used to find out actual number of girls taking classes.
then, the number of girls taking classes is 3x and boys 4x but we have
total number of boys who are taking classes at school = 236
i.e , 4x = 236 => x = 59
the number of girls taking classes at school = 3x
= 3×59 = 177
total number of students who are taking classes at school= 177+236 = 403
Hence, the proportion girls who are taking classes to boys who are taking classes is 3:4
and number of girls taking classes at school = 177
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(help)
use 2-3 sentences to explain, in your own words, how you find the value of the hypotenuse when given
a leg in a 45-45-90 triangle. explain using the following vocabulary words: right triangle, isosceles
triangle, leg, hypotenuse, and square root.
Let the length of the leg be \(x\). Since the right triangle is isosceles, the length of each leg is \(x\), and thus, by the Pythagorean theorem, the hypotenuse has a length equal to the square root of the sum of the squares of the lengths of the legs, or \(\sqrt{x^2+x^2}=x\sqrt{2}\).
Using this result, we see that to find the length of the hypotenuse, we multiply the length of the leg by \(\sqrt{2}\).
13.
Find the volume of the trapezoidal prism below. Hint: The formula for the area of a
trapezoid is A 2 (b, I b)h.
6 cm
5 cm
12 cm
7.5 cm
А
450 cm
B
900 cm
С
270 cm
Answer:
A is the correct answer 450 cm
Step-by-step explanation:
area of base = 1/2 (7.5+ 5) × 6 = 37.5
volume = area × height
= 37.5 × 12
= 450cm³
Which value of p makes the equation 7p+3=4p+9 true?
p=2
p=3
p=0
p=5
p=2
Step-by-step explanation:
7×2=14
14+3=17
4×2=8
8+9=17
they both get the same end product, meaning 7p+3=4p+9 is TRUE
*edit
Answer:
\( \sf \: a) \: p = 2\)
Step-by-step explanation:
Now we have to,
→ Find the required value of p.
The equation is,
→ 7p + 3 = 4p + 9
Then the value of p will be,
→ 7p + 3 = 4p + 9
→ 7p - 4p = 9 - 3
→ 3p = 6
→ p = 6 ÷ 3
→ [ p = 2 ]
Hence, the value of p is 2.
Find the value of angle y?
Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11
Step-by-step explanation:
v=kg
36=k×4
k=36/4
k=9
v=9×11
v=99
What is the area of the figure?
Answer:
190 inches squared
Step-by-step explanation:
You have to split the shape into two different rectangles. Then multiply 22 x 5 to get the area of the right rectangle. The area of this is 110 inches squared. Then you find the area of the other rectangle by solving (15-5) x 8. You get 80. Then add 80 + 110 to get 190.
Hope it helps!
Answer: 190 inches²
Step-by-step explanation:
Area of rectangle = L x W
= 15 x 8
= 120 inches
Area of smaller rectangle = L x W
= 5 x (22 - 8 = 14)
= 70 inches
Therefore, 120 inches + 70 inches = 190 inches²