To find the value of y, we just have to sum.
\(y=4+5=9\)Hence, y = 9.Select the correct answer.
Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir bracelets, which are $3.25 each. All prices include taxes.
Which inequality can be used to solve for how many bracelets Omar can buy?
A.
3.25x + 13.50 ≤ 40
B.
3.25x + 13.50 ≥ 40
C.
13.50x + 3.25 ≤ 40
D.
13.50x + 3.25 ≥ 40
Answer:
A.
3.25x + 13.50 ≤ 40
Step-by-step explanation:
how many odd numbers are greater than 30 and less that 40?
Answer:
31 33 35 37 39
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
31,33,35,37,39
Solve for y. 2(y-2) -6y=-28
Answer:
y = -8
Step-by-step explanation:
2(y-2)- 6y-28 = 0
2y - 4 -6y - 28 = 0
-4y = 32
y = -8
a ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. this inequality represents the time,t, in seconds, when the ball's height is greater than 10 meters. -4.9t^2+22t+0.75>10.
the ball's height is greater than 10 meters when t is approximately between blank and blank seconds
Answer:
t is between 0.47 seconds and 4.02 seconds
Step-by-step explanation:
Given
\(Inequality: -4.9t^2+22t+0.75>10\)
Required
Determine the values of t
\(-4.9t^2+22t+0.75>10\)
Subtract 10 from both sides
\(-4.9t^2+22t+0.75 - 10 >10 - 10\)
\(-4.9t^2+22t-9.25 >0\)
Multiply through y -1
\(4.9t^2-22t+9.25 <0\)
Solve t using quadratic formula:
\(t = \frac{-b \±\sqrt{b^2 - 4ac}}{2a}\)
Where
\(a = 4.9\)
\(b = -22\)
\(c = 9.25\)
So, we have:
\(t = \frac{-(-22) \±\sqrt{(-22)^2 - 4*4.9*9.25}}{2 * 4.9}\)
\(t = \frac{22 \±\sqrt{484 - 181.3}}{9.8}\)
\(t = \frac{22 \±\sqrt{302.7}}{9.8}\)
\(t = \frac{22 \±17.40}{9.8}\)
Split the equation
\(t = \frac{22 + 17.40}{9.8}\) or \(t = \frac{22 - 17.40}{9.8}\)
\(t = \frac{39.4}{9.8}\) or \(t = \frac{4.6}{9.8}\)
\(t = \frac{39.4}{9.8}\) or \(t = \frac{4.6}{9.8}\)
\(t = 4.02\) or \(t = 0.47\)
Hence; the range is
\(0.47 < t <4.02\)
Use the table of trigonometric ratios to answer the following questions
Step 1: We draw the triangle described in the word problem. Since the triangle can be any similar right triangle, we can choose the measure of the sides under the condition that the triangle will be a right triangle and one of its angles measures 28°. For example, the measure of one side can be 5 units.
Step 2: We find the measure of the opposite leg and the hypotenuse.
• Opposite leg: Since it is a right triangle, we can use the trigonometric ratio tan(θ).
\(\tan(\theta)=\frac{\text{ Opposite leg}}{\text{ Adjacent leg}}\)Then, we have:
\(\begin{gathered} \tan(28°)=\frac{\text{ Opposite leg}}{5} \\ \text{ Multiply by 5 from both sides} \\ 5\cdot\tan(28\degree)=\frac{\text{Opposte leg}}{5}\cdot5 \\ 2.66\approx\text{ Opposite leg} \\ \text{ The symbol }\approx\text{ is read 'approximately'.} \end{gathered}\)• Hypotenuse: Since it is a right triangle, we can use the trigonometric ratio cos(θ).
\(\cos(\theta)=\frac{\text{ Adjacent leg}}{\text{ Hypotenuse}}\)Then, we have:
\(\begin{gathered} \cos(28°)=\frac{5}{\text{ Hypotenuse}} \\ \cos(28°)\cdot\text{ Hypotenuse }=\frac{5}{\text{ Hypotenuse}}\cdot\text{ Hypotenuse} \\ \cos(28°)\cdot\text{ Hypotenuse }=5 \\ \frac{\cos(28\degree)\cdot\text{ Hypotenuse}}{\cos(28\degree)}=\frac{5}{\cos(28\degree)} \\ \text{ Hypotenuse }\approx5.66 \end{gathered}\)Step 3: We find the trigonometric ratios sine, cosine and tangent.
• Sine
\(\begin{gathered} \sin(\theta)=\frac{\text{ Opposite leg}}{\text{ Hypotenuse}} \\ \sin(28\degree)\approx\frac{2.66}{5.66} \\ \sin(28\degree)\approx0.47 \end{gathered}\)• Cosine
\(\begin{gathered} \cos(\theta)=\frac{\text{ Adjacent leg}}{\text{ Hypotenuse}} \\ \cos(28\degree)\approx\frac{5}{5.66} \\ \cos(28\degree)\approx0.88 \end{gathered}\)• Tangent
\(\begin{gathered} \tan(\theta)=\frac{\text{ Opposite leg}}{\text{ Adjacent leg}} \\ \tan(28\degree)\approx\frac{2.66}{5} \\ \tan(28\degree)\approx0.53 \end{gathered}\)Answer\(\begin{gathered} \sin(28\degree)\approx0.47 \\ \cos(28\degree)\approx0.88 \\ \tg(28\degree)\approx0.53 \end{gathered}\)
If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D, what is the perimeter of A'B'C'D?
A)
30 units
B)
60 units
C)
90 units
D)
120 units
Answer:
90
Step-by-step explanation:
Given m ∥ n, find the value of x.
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
PLEASE HELP IM SO LOST
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'
If 2x-y=9 and 3x+4y=19, then y=
Answer:
x = 5
y = 1
Step-by-step explanation:
2x - y = 9
3x + 4y = 19
We multiply the first equation by 4
8x - 4y = 36
3x + 4y = 19
11x = 55
x = 5
Now we put 5 in for x and solve for y
2(5) - y = 9
10 - y = 9
-y = -1
y = 1
Let's Check the answer
2(5) - 1 = 9
10 - 1 = 9
9 = 9
So, x = 5 and y = 1 is the correct answer.
Six eggs sat in a basket overnight. A fox
came and took an unknown amount, and
a raccoon came and took an unknown
amount. In the morning, there were only
two eggs left. Write an equation showing
how six eggs were reduced to two eggs.
Use 'f for the number the fox took and 'r
for the number the raccoon took.
Answer:
6 - F - R = 2
Step-by-step explanation:
Since six eggs sat in a basket overnight, and a fox came and took an unknown amount, and a raccoon came and took an unknown amount, with which in the morning there were only two eggs left, to write an equation showing how six eggs were reduced to two eggs the following reasoning must be raised:
6 = Starting number
F = Eggs stolen by the fox
R = Eggs stolen by the raccoon
6 - F - R = 2
how to get the area of the base ?
Answer:
LxWxH
Step-by-step explanation:
230.76 divided by 14.80
Answer:
15.5918918919
Step-by-step explanation:
Answer:
15.5918918919
Step-by-step explanation:
Because I did it on a calculator.
A group of four numbers has an average of 14. The first three numbers are 11, 12 and 17. What's the missing number?
Answer:
16
Step-by-step explanation:
So if 4 numbers have an average of 14, that means to find the sum of all 4 numbers, you work backwards & multiply 4x14 to get 56.
Then 56-the sum of the 3 numbers you already have (11+12+17=40)
56-40=16
To double check, to find the average of 4 numbers that total 56, you divide 56 by 4 & get 14
NEED HELP IMMEDIATELY PLEASE HELP
Answer:
63°
Step-by-step explanation:
All the angles in a triangle always add up to 180°.
62 + 55 = 117
180 - 117 = 63
The value of x is 63°.
Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined. is he right?Explain you're answer
In a case whereby Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined, he is wrong
What is the justification?
\(4\frac{2}{4}\) that was given in the question can be seen as mixed fraction, we can expressed this as improper fraction so that it will be easier to handle.
\(4\frac{2}{4} = \frac{16+4}{2}\)
=\(\frac{18}{4}\)
Then \(4 + 5\frac{1}{4} = \frac{16}{4} +\frac{20+1}{4} \\\\=\frac{37}{4}\)
Then after expressing the given fractions as improper fraction we can now compare them so that e will know may be Darren is right or wrong, then here we can see that \(\frac{18}{4}\) is less than \(\frac{37}{4}\) Hence, Darren is wrong.
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Evaluate the expression below when n = 9. If needed, answer as a fraction or a decimal.
n² + 6n ÷ 3
Answer:
Below
Step-by-step explanation:
Put '9' where 'n' is and compute
(9)^2 + 6(9) ÷ 3 =
81 + 54 ÷3 =
81 + 18 = 99
20 POINTS FOR THE FIRST PERSON TO ANSWER
Matt has a bag of candy form a party. The bag contains 8 chocolate bars, 5 pieces of gum,
8 lollipops, and 4 jawbreakers. Which statement is true?
A. The probability of randomly selecting a piece of gum is less than the probability of randomly
selecting a lollipop.
B. The probability of randomly selecting a chocolate bar is equal to the probability of randomly
selecting a jawbreaker.
C. The probability of randomly selecting a lollipop is greater than the probability of randomly
selecting a chocolate bar.
D The probability of randomly selecting a piece of qum is
Answer: its A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the probability of selecting a piece of gum is less because there's less gum in the bag then there are lollipops
Find the value of x. *
50 PTS!
5
25
5√2
50
Answer:
Option AStep-by-step explanation:
We can solve this with the help of Pythagoras theorem.
=> (√50)² = x² + x²=> √50 x √50 = x² + x²=> 50 = 2x²=> 25 = x²=> x = 5Hence, the value of x is 5 units.
Answer:
Answer: x is 5 units
Step-by-step explanation:
» From trigonometric ratios,
\({ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ \)
theta is 45°opposite is xhypotenuse is √50\({ \tt{ \sin(45 \degree) = \frac{x}{ \sqrt{50} } }} \\ \\ { \tt{x = \sqrt{50} \times \frac{1}{ \sqrt{2} } }} \\ \\ { \tt{x = \sqrt{ \frac{50}{2} } }} \\ \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}\)
Or, from pythogras theorem
\({ \tt{ {a}^{2} + {b}^{2} = {c}^{2} }}\)
a is x, and b is xc is √50\({ \tt{ {x}^{2} + {x}^{2} = {( \sqrt{50}) }^{2} }} \\ { \tt{2 {x}^{2} = 50 }} \\ { \tt{ {x}^{2} = 25}} \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}\)
Please I need some answers just a few are fine
Answer:
a) 16
b) 36
c) 4
d) 81
Explanation:
Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
John's sister is 8 years less than twice his age. If John is 39, what age is his sister
Answer:
70
Step-by-step explanation:
(39 X 2) - 8 = ?
78 - 8 =?
? = 70
Have a good day!
-5 x + 10 -20 need help with this
Answer:
-5(x+2)
Step-by-step explanation:
A bag of marbles had 22 black marbles and the rest were red. For a game, 24 marbles were chosen from the bag. of these 24 marbles chosen,
were black
Use this information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough Information."
(a) How many marbles
were in the bag before the game?
0
Not
enough
information
(b) How many of the bag's black marbles
were chosen?
0
Х
5
?
(C) How many of the bag's black marbles
were not chosen?
Answer:
24 -2 =22 hope it helps!!!
HELP PLEASE will mark brainliest
Eighteen middle-aged women with platelet readings between 120,000 platelets per microliter and 150,000 platelets per microliter of blood were selected randomly from the population of similar female patients at a large local hospital. Nine of the 18 women were assigned randomly to group A and received a placebo. The other nine women were assigned to group B and received a new platelet drug. After four months, posttreatment platelet readings were taken for all 18 women and were compared with pretreatment readings. The reduction in platelet level (Pretreatment reading − Posttreatment reading) for each woman in the study is shown here.
Group A (placebo) increase (in platelets per microliter): 2,000, 5,000, 7,050, 10,125, 12,345, 17,350, 13,250, 12,200, 9,125
Group B (platelet drug) increase (platelets per microliter): 28,450, 23,438, 36,380, 12,450, 16,100, 21,350, 39,400, 41,000, 14,325
Create and interpret a 95% confidence interval for the difference in the placebo and the new drug.
The blood platelet count is an illustration of normal distribution,
Approximately 95% of the data lies within 2 standard deviations of the mean.
There are approximately 99.7% of women with platelet count between 65.2 and 431.8.
Given parameters are:
μ = 248.5
σ = 61.1
(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,
Start by calculating the z-score, when x = 126.3 and x = 370.7
Z = x-μ / σ
Therefore,
Z = 126.3-248.5/61.1
Z = -2
Also,
Z = 370.7-248.5/61.1
Z = 2
The empirical rule states that:
Approximately 95% of the data lies within 2 standard deviations of the mean.
Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.
(b) The percentage with platelet count between 65.2 and 431.8
Start by calculating the z-score, when x = 65.2 and x = 431.8
Z = 65.2-248.5/61.1
Z = -3
And,
Z = 431.8-248.5/61.1
Z = 3
The empirical rule states that:
Approximately 99.7% of the data lies within 3 standard deviations of the mean.
Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.
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Find sin 8.
45
53
28
8
Answer:
A. 45/53
Step-by-step explanation:
.............
Answer:
A. 45/53
Step-by-step explanation:
sin ø is A.
have a nice day
In the figure shown,trapezoid RSTU has vertices R(1,3),S(4,3),T(3,1),and U(2,1).
Draw the image RSTU after a dilation with a scale factor of 2,followed by a translation of 2 units down.Label the vertices EFGH
Select the correct answer. Simplify the following expression.
The simplified exponential expression for this problem is given as follows:
D. 1/49.
How to simplify the exponential expression?The exponential expression for this problem is defined as follows:
\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.
Hence the exponent is given as follows:
-5/6 - 7/6 = -12/6 = -2.
The negative exponent is moved to the denominator, hence:
1/7² = 1/49.
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someone pls help me! ❤️❤️❤️
Answer:
(x-1) ( x -i) (x+i)
Step-by-step explanation:
x^3 -2x^2 +x-2
Factor by grouping
x^3 -2x^2 +x-2
x^2(x-2) +1(x-2)
Factor out (x-2)
(x-2) (x^2+1)
Rewriting
(x-1) ( x^2 - (-1)^2)
(x-1) ( x -i) (x+i)
Answer:
Should be b
Step-by-step explanation:
Since it's a multiple choice question you know that -2 or 2 has to be a root for the cubic.
You can test both -2 and 2 and see that replacing x for 2 has the expression evaluate to 0.
Then, since you know the imaginary roots have to be conjugates, you get B.
If x=9, what is the value of y in the following equation?
2y= 2x^2/3 +6
Answer:
I think the answer is A........
2×81=162
162/3=540
54+6=60
60/2=30