Answers
and fairly sure you know how much that is.
Related Questions
Jack's birthday is in 4 weeks. How many days is it until Jack's birthday? describe how you could use a number line to solve.
Answers
4 weeks ( 7 days / 1 week ) = 28 days until Jack's day
How can 3.7=x+(-5) be solved for x in one step?Add 3.7 to both sides .Add 5 to both sides. Subtract 3.7 from both sides Subtract 5 from both sides
Answers
The first step to solve for x in the given algebra using properties of equality is; Add 5 to both sides.
How to Simplify Algebra?We want to simplify the algebraic expression;
3.7 = x + (-5)
When dealing with algebra like this, what we have to first do is to balance both sides of the equation.
To solve this particular algebra problem, we will use additional property of equality by adding 5 to both sides to get;
3.7 + 5 = x + (-5) + 5
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The first step to solving the expression 3.7 = x + (- 5) is,
''Add 5 to both sides''
The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to give that,
An algebraic expression to simplify,
⇒ 3.7 = x + (- 5)
Now, Simplify the expression by combining like terms as,
⇒ 3.7 = x + (- 5)
⇒ 3.7 = x - 5
Use the additional property of equality by adding 5 to both sides to get;
3.7 + 5 = x + (-5) + 5
8.7 = x
x = 8.7
So, the first step is, ''Add 5 to both sides''.
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I'm having a bit of trouble, could you help?
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-5-(3^2+2)=-16,
2^2-3*6=-14,
-2+4*3^2-6=28
5+4^2/2(3)=29
Evaluate: 12-6+(14-8)^2=42
-5-(3^2 + 2)
= -5 - 9 -2
= -16
= D
2^2 - 3 × 6
= 4- (3 × 6) <==== principle of BODMAS
= -14
= C
-2 + (4×3^2) -6
= -2 + 36 - 6
= 28
= A
so the next answer is obviously B
Question 2.
12-6+(14-8)^2
= 6 + 6^2
= 6 + 36
= 42
A set of n = 15 pairs of X and Y scores has SSX = ...A set of n = 15 pairs of X and Y scores has SSX = 10,SSY = 40, and SP = 30. What is the slope for the regression equation for predicting Y from X?
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slope = SP / SSx
Examining the givens, we will find that both parameters are given where:
SP = 30 and SSx = 10
Substituting with the givens in the above mentioned equations, we can calculate the slope as follows:
slope = 30 / 10 = 3
What is the value of 3yx +2x when x=4 and y=-2
A.-28
B.-16
C.8
D.56
Answers
(3)(-2)(4) + (2)(4) =
-24 + 8 =
-16
So, B -16 is the answer.
A basketball is thrown with an initial upward velocity of 23 feet per second from a height of 7 feet above the ground. The equation h=−16t2+23t+7h=−16t2+23t+7 models the height in feet t seconds after the basketball is thrown. After the ball passes its maximum height, it comes down and then goes into the hoop at a height of 10 feet above the ground. About how long after it was thrown does it go into the hoop? Select one: a. 1.29 seconds b. 1.44 seconds c. 1.70 seconds
Answers
16t^2-23t+3=0 using the quadratic formula
t=(23±√337)/32, since we are looking for the larger value of t, as the ball in returning downward...
t=(23+√337)/32
t≈1.29 seconds
Given the provided motion physics model and using the quadratic formula, it is determined that it would take approximately 3.79 seconds for the basketball to go into the hoop after it was thrown.
Explanation:The subject in consideration here is a problem related to quadratic equations in motion physics. The equation given in the question signifies a model of the height of the basketball as a function of time in the format of a quadratic equation. The equation is h = -16t² + 23t + 7.
With this equation, we can apply the quadratic formula to find the amount of time it takes for the ball to reach the hoop.
Upon using the quadratic formula, two solutions come up, t = 3.79 s and t = 0.54 s. The ball is at a height of 10 m at two times during its trajectory—once on the way up (as it rises) and once on the way down (as it falls). Since the question is about the time the ball goes into the hoop after reaching its maximum height and coming down, the larger value of t (3.79s) is considered as the valid solution.
Therefore, the time it takes for the basketball to go into the hoop after it was thrown is approximately 3.79 seconds which is not an offered option.
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The mean of a set of credit scores is u=690 and o=14. Which credit score is within z-score of 3.3?
A)634
B)640
C)720
D)750
Answers
I think it is C
BMK ><
Answer:
c)720
Step-by-step explanation:
The mean of a set of credit scores is u=690 and o=14.
mean = 690 and standard deviation SD = 14
We use z- score formula
[tex]z=\frac{x-mean}{SD}[/tex]
z= 3.3 given
Plug in the values and find out x
[tex]3.3=\frac{x-690}{14}[/tex]
Multiply 14 on both sides
46.2 = x- 690
Now add 690 on both sides
x= 736.2
Credit score is 720 that comes under 736.2
So answer is 720
A vehicle travels on a highway at a rate of 65 mi/h. How long does it take the vehicle to travel 25 mi?
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(HELP ASAP) Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides.
The area of EFGH is 35 square units. What is the value of x?
4 units
5 units
6 units
7 units
Answers
So we have the following:
OF = 2
OH = 5
Just because F and H are midpoints it means that EO = OG = x
And as it's given the area S=35
On the other hand
S = OF*OG/2 + OG*OH/2 + OH*OE/2 + OE*OF/2 = 2*x/2 + x*5/2 + 5*x/2 + x*2/2 = 2*x + 5*x = 7*x = 35
7x = 35 so x = 35/7 = 5
Answer: 5 units
The answer is 5 units on e2020.
which description matches the transformations y=cosx undergoes to produce y= -2cos3x
A. Horizontal compression by factor 1/3, vertical stretch by factor 2, then a reflection through the x-axis
B. reflection through the y-axis, vertical shift of 2 units, horizontal shift right by 3 units
C.Horizontal shift 2 units, then vertical shift up by 3 units
D.Horizontal stretch by factor 2, reflection through the x-axis, then the vertical stretch by factor 3
Answers
Answer: A. Horizontal compression by factor 1/3, vertical stretch by factor 2, then a reflection through the x-axis
Step-by-step explanation:
Since, If there is a function, y= a cos bx
Then a shows vertical stretch while b shows horizontal compression.
Here, Given function, y= cos x
After transformation, It is giving y = -2 cos 3x
therefore here is a horizontal compression occurs with factor 1/3.
Also Negative sign shows there also did reflection through x-axis.
And, It also, stretched vertically by factor 2. ( also shown in the below graph)
Thus, Option A) is correct.
what is the solution to 2sin^(2)x+sinx+1=0
a. 30 deg
b.150 deg
c.240 deg
d. 270 deg
e. 330 deg
Answers
answer is d 270
first start of by factoring and subtracting the 1 into the right side
sin(x) ( 2 sin (x) + 1) = -1
set each one equal to -1
sin( x) = -1 and 2 sin (x) +1 = -1
2 sin (x) = -2
sin ( x) = -1
so therefore we have our final equation
sin ( x ) = - 1 and sin (x) = -1
so then you look in your unit circle and find what coordinate equals -1 in terms of sin x
Create a set of numbers where the mode is equal to 10 the median is equal to 12 and the average is 12.
Please I really need help!
Answers
MEDIAN: 12
MODE: 10
MEAN: 12
mean 12 because it's the average so you have to add the data set all up and divided by the numbers that are in the data set like 84 divided 7 which is 12, your answer.
g(a) = 3^3a-2 . Find g(1)
Answers
[tex]G(1)=3^{3(1)-2}[/tex]
[tex]G(1)=3^{3-2}[/tex]
[tex]G(1)=3^{1}[/tex]
[tex]G(1)=3[/tex]
William buys a basket of lemons on sale for $11 before tax. The sales tax is 15%. What is the total price William pays for the basket of lemons?
Answers
Convert the percent into a decimal by moving the % sign two places to the left and making the % sign into a decimal point.
15% = 0.15
0.15 * 11 = 1.65
Now add it back to the original amount.
11 + 1.65 = 12.65
So, $12.65 is the answer.
What is the graph of the function?
f(x) = 2x 2
Answers
Check the coordinate of y when x=0 ⇒ f(0)=0
Check the coordinate of x when y=0 ⇒ x=0
We have two pairs of coordinate, (0, 0) and (0, 0)
The first two graphs have these coordinates so we need to do further checking
take x=1 ⇒ f(1) = 2(1)² = 2
take x=2 ⇒ f(2) = 2(2)² = 8
we have two pairs of coordinates; (1, 2) and (2, 8)
The correct answer is OPTION A
Answer:
For f(x)=2x² graph, the answer is A.
Step-by-step explanation:
For x = -2; y = 8For x = -1; y = 2For x = 0; y = 0For x = 1; y = 2For x = 2; y = 8A ladder is leaning up against a 17 foot Wall at an angle of elevation of 37°. How far is the foot of the latter from the wall? Round your answer to the nearest 10th of a foot
Answers
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)
The difference between the squares of two consecutive numbers is 23. what are the two numbers?
Answers
(x+1)^2-x^2=23
x^2+2x+1-x^2=23
2x+1=23
2x=22
x=11
11^2 = 121
x+1 =12
12^2=144
144-121 = 23
give and example of a line that is parrallel to 9x+6y= -6
Answers
A sixteen-sided number cube has the numbers 1 through 16 on each face. each face is equally likely to show after a roll. what is the probability that you will roll an even number or an odd prime number? round to the nearest thousandth.
a. 0.063
b. 0.813
c. 0.219
d. 0.875
Answers
P (odd prime number) = 5/16...sample space is 16, there are 5 odd primes (3,5,7,11,13)
P (both) = 1/2 + 5/16 = 8/16 + 5/16 = 13/16 = 0.8125 rounds to 0.813
Answer:
B. 0.813
Step-by-step explanation:
A sixteen-sided number cube has the numbers 1 through 16 on each face.
So, [tex]|\ S\ |=16[/tex]
Let us assume that, A be the event that the number will be an even number. So,
[tex]A=\left \{ 2,4,6,8,10,12,14,16 \right \}[/tex] and [tex]|\ A\ |=8[/tex]
Then,
[tex]P(A)=\dfrac{|\ A\ |}{|\ S\ |}=\dfrac{8}{16}[/tex]
Let us assume that, B be the event that the number will be an odd prime number.
[tex]B=\left \{3,5,7,11,13 \right \}[/tex] and [tex]|\ B\ |=5[/tex]
Then,
[tex]P(B)=\dfrac{|\ B\ |}{|\ S\ |}=\dfrac{5}{16}[/tex]
So the probability that you will roll an even number or an odd prime number will be,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cup B)[/tex]
[tex]=\dfrac{8}{16}+\dfrac{5}{16}-0[/tex] ( as independent events)
[tex]=\dfrac{13}{16}[/tex]
[tex]=0.813[/tex]
The perimeter of a rectangle is 120 feet. The ratio of the width to the length is 2:3. Find the length and width.
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Multiply this by 2 (P = 2L + 2W) = 10 parts.
120/10 = 12
Each part = 12
W:L
12*2:12*3 = 24:36
CHECK
2(24) + 2(36) ??=?? 120
48 + 72 ??=?? 120
120 = 120 checks
Length = 36 ft
Width = 24 ft
It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own
Answers
It would take Brian 20 hours to build the model car on his own.
To determine the time it would take Brian to build the model car on his own, we can follow these steps:
1. Let's denote the time it takes John to build the model car as J hours.
2. Since it takes Brian 15 hours longer than John, we can express the time it takes Brian as J +15 hours.
3. If they work together, they can build the model car in 4 hours. This means that in 1 hour, they complete [tex]\(\frac{1}{4}\)[/tex] of the job together.
4. In 1 hour, John completes [tex]\(\frac{1}{J}\)[/tex] of the job, and Brian completes [tex]\(\frac{1}{J + 15}\)[/tex] of the job.
5. So, the equation representing the rate at which they work together is:
[tex]\[ \frac{1}{J} + \frac{1}{J + 15} = \frac{1}{4} \][/tex]
6. Now, we solve this equation to find J, the time it takes John to build the model car on his own.
7. Once we find J, we can find J+15 which represents the time it takes Brian to build the model car on his own.
So, the equation representing the rate at which they work together is:
[tex]\[ \frac{1}{J} + \frac{1}{J + 15} = \frac{1}{4} \][/tex]
To solve this equation, we can multiply both sides by the least common denominator, which is [tex]\( 4J(J + 15) \)[/tex], to clear the fractions:
[tex]\[ 4(J + 15) + 4J = J(J + 15) \][/tex]
Expanding and simplifying:
[tex]\[ 4J + 60 + 4J = J^2 + 15J \]\[ 8J + 60 = J^2 + 15J \]\[ J^2 + 15J - 8J - 60 = 0 \]\[ J^2 + 7J - 60 = 0 \][/tex]
Now, we have a quadratic equation. We can solve this equation using factoring, completing the square, or the quadratic formula. Let's use factoring:
[tex]\[ (J - 5)(J + 12) = 0 \][/tex]
Setting each factor equal to zero:
[tex]\[ J - 5 = 0 \] or \( J + 12 = 0 \)[/tex]
Solving each equation:
[tex]For \( J - 5 = 0 \), we get \( J = 5 \).For \( J + 12 = 0 \), we get \( J = -12 \).[/tex]
Since time cannot be negative, we discard the negative solution.
Now that we have found J=5 hours, which represents the time it takes John to build the model car on his own, we can find [tex]\( J + 15 = 5 + 15 = 20 \)[/tex] hours.
Which value of m will create a system of parallel lines with no solution?
y = mx – 6
8x – 4y = 12
Answers
Answer:
answer is D ;)
Step-by-step explanation:
Solve −2x2 +3x − 9 = 0.
Answers
-2x^2 + 3x - 9 = 0
So first, this equation does not have real roots.
It only has 2 complex roots.
The roots are:
3/4 * (1-i√7) and 3/4 * (1+i√7)
A tree casts a shadow of 26 meters when the angle of elevation of the sun is 24°. find the height of the tree to the nearest meter.
Answers
Using the trigonometric tangential function, the height of the tree casting a 26-meter shadow at an angle of elevation of 24° is approximately 11 meters.
Explanation:The given problem can be solved by applying trigonometric principles, specifically the tangent function. In this case, we know the shadow length (26m) and the angle of elevation of the sun (24°). The height of the tree is the side opposite the angle, and the shadow is the adjacent side. Thus, we can use the tangent equation (Tan θ = Opposite/Adjacent). So, Tan 24° = Height of the tree / 26m. By cross multiplying and evaluating Tan 24°, we get the height of the tree to be approximately 11 meters.
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All right triangles with the same acute angle θ are
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A cylindrical tank standing upright (with one circular base on the ground) has a radius of 1212 cm for the base. how fast does the water level in the tank drop when the water is being drained at 2323 cm33/sec? note that the volume of a cylinder is v=πr2hv=πr2h where rr is the radius of the base and hh is the height of the cylinder.
Answers
To find the rate of change of height with respect to time, we use the formula dh/dt = dV/dt / (πr²) and substitute the given values for the rate of volume change and the radius.
We have the rate of volume change as 23 cm³/sec and the cylinder has a radius of 12 cm. Note that the typo '2323 cm³/sec' and '1212 cm' should be read as '23 cm³/sec' and '12 cm,' respectively.
The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. To find the rate at which the height h changes over time, we can take the derivative of the volume with respect to time, which gives us dV/dt = πr² dh/dt. We can solve this equation for dh/dt (the rate of change of height with respect to time) by dividing both sides by πr² and substituting the given values. Therefore, dh/dt = dV/dt / (πr²).
Substituting the values, we get:
dh/dt = 23 cm³/sec / (π * (12 cm)²)
Upon simplifying, we will obtain the rate at which the height of the water is decreasing in cm/sec.
Tom is showing his work in simplifying (5.2 – 8.5) – 0.5 + 6.8. In which step did Tom make an error? Step 1:: (5.2 – 8.5) – 0.5 + 6.8 Step 2: 5.2 + (–8.5 – 0.5) + 6.8 (distributive property) Step 3: 5.2 – 9 + 6.8 Step 4: 5.2 + 6.8 – 9 (commutative property) Step 5: 12 – 9 = 3 Step 2; he wrote distributive instead of commutative Step 2; he wrote distributive instead of associative Step 4; he wrote commutative instead of associative Step 4; he wrote commutative instead of distributive
Answers
Step 1:: (5.2 – 8.5) – 0.5 + 6.8
Step 2: 5.2 + (–8.5 – 0.5) + 6.8 (distributive property)
Wrong this is associative property, because he just ragrouped the terms.
Step 3: 5.2 – 9 + 6.8
Step 4: 5.2 + 6.8 – 9 (commutative property)
Right because he just switched places
Step 5: 12 – 9 = 3
Answer: Step 2; he wrote distributive instead of associative
Answer:
B
Step-by-step explanation:
Step 2 he wrote distributive instead of associative
A student has some 1 and 5 bills in his wallet. he has a total of 14 bills that are worth 50 how many of each type of bill does he hae
Answers
x = ones
y = fives
x+y = 14 total bills
rewrite as x = 14-y
1x +5y = 50
1(14-y) +5y = 50
14-1y +5y = 50
14 +4y = 50
4y = 36
y = 36/4 = 9
x = 14-y = 14-9 = 5
9+5 = 14
9x5 = 45 +5x1 = 50
he had 9 fives and 5 ones
Answer:
There were 5 bills of '1' and 9 bills of '5'.
Step-by-step explanation:
let the number of '1' bill be x
let the number of '5' bill be y.
Total number of bills = 14
x + y = 14 ..[1]
Worth of 14 bills = 50
So,[tex]x\times 1+y\times 5=\$50[/tex]
[tex]x+5y=50[/tex]..[2]
x + y = 14
x = 14 - y
Putting value of x in [2]:
[tex]14- y +5y=50[/tex]
[tex]y=\frac{50-14}{4}=9[/tex]
y = 9
x = 14-y = 14 - 9 = 5
There were 5 bills of '1' and 9 bills of '5'.
How do you write 5/100 in decimal form?
Answers
You just move the decimal place back, twice.
so 5 divided by 100 = 0.05 <==
what is the simplified form of (6^2+4)-15