Doug dives a total distance of 6.8 meters from the platform to the bottom of the sea.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We have been given that a Doug dives from a platform that is 5 meters above the water.
His dive takes him 1.8 meters below the surface of the water.
To determine the total distance Doug dived, add the height of the platform above water and the distance he dived below water.
= (5 + 1.8) meters.
= 6.8 meters.
Thus, Doug dives a total distance of 6.8 meters from the platform to the bottom of the sea.
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Given the figure below, find the values of x and z.
(7x + 73)°
(10x + 22)
In the given figure,
(7x + 73) + (10x + 22) = 180 ........(Because they are linear pair)
⇒ 7x + 73 + 10x +22 = 180
⇒ 17x + 95 = 180
⇒ 17x = 180-95
⇒ 17x = 85
⇒ x = 85/17
⇒ x = 5
Now, 7x +73 = z ....................(Because they are vertically opposite angles)
⇒ 7 x 5 + 73 = z
⇒ z = 35 + 73
⇒ z = 108°
What are vertically opposite angles and linear pairs?Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal. These are referred to as vertical angles at times.A linear pair of angles in geometry is a pair of neighboring angles created by the intersection of two lines. When two angles share a vertex and an arm but do not overlap, they are said to be adjacent angles. Due to their formation on a straight line, the linear pair of angles are always complementary. So, the total of two angles in a pair of lines is always 180 degrees.
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Match the following items.1.(-14) + 81 = 81 + (-14)multiplicative inverse2. • = 1additive identity3.101 + (29 + 417) = (101 + 29) + 417associative property of addition4.(24 + 15) = • 24 + • 15commutative property of addition5.-72 + 0 = -72distributive property
Given:
[tex]\begin{gathered} (1)\rightarrow(-14)+81=81+(-14) \\ \\ (2)\rightarrow\frac{13}{17}\cdot\frac{17}{13} \\ \\ (3)\rightarrow101+(29+417)=(101+29)+417 \\ \\ (4)\rightarrow\frac{1}{3}(24+15)=\frac{1}{3}\cdot24+\frac{1}{3}\cdot15 \\ \\ (5)\rightarrow-72+0=-72 \end{gathered}[/tex]Find-:
Match the item
Explanation-:
(1)
The commutative property of addition is:
So the commutative property of addition is:
[tex](-14)+81=81+(-14)[/tex](2)
The multiplicative inverse is:
So value is:
[tex]\frac{13}{17}\cdot\frac{17}{13}=1[/tex](3)
Associative property of addition
So the value is:
[tex]101+(29+417)=(101+29)+417[/tex](4)
Additive identity.
The property of additive identity is:
[tex]A+0=A[/tex]So the value is:
[tex]-72+0=-72[/tex](5)
The distribution property is:
[tex]a(b+c)=ab+ac[/tex][tex]\frac{1}{3}(24+15)=\frac{1}{3}.24+\frac{1}{2}\cdot15[/tex]two students in mrs.johnson's preschool class are stacking blocks,are 4 cm height, and maddy's blocks are 9 cm high. how tall will their stacks be when they are the same height for the first time.
36 cm tall will their stacks be when they are the same height for the first time.
Given,
Two students in Mrs. Johnson's preschool class are stacking blocks:
The height of Reece's block = 4 cm
The height of Maddy's block = 9 cm
We have to find the height of the stacks when they are same height for the first time.
Here,
We have to find the least common multiple.
Least Common Multiple (LCM):
The smallest number that is a multiple of both of two numbers is called the least common multiple.
So here,
We have to find the least common multiple of 4 and 9.
Here, the least common multiple of 4 and 9 = 36
Then,
36 cm tall will their stacks be when they are the same height for the first time.
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Solve
2x² + 4x + 10 = 0
Simplify answers
Answer: No Solution
Step-by-step explanation: Simply use the formula. Which then you get no solution
I add six to eleven, and get five. Why is this correct?
Answer:
because the six is a negative number (-6)
Geometry I need help with finding x on triangles
Answer: ...
Step-by-step explanation: Find the hypotenuse x. Suppose angle A = 50°, angle B = 60°, and angle C = x are the angles of a triangle. ABC. By using the angle sum property we can find the value of x. angle A + angle B + angle C = 180 degrees. Solve for x in fractions, we simply do the cross multiplication and simplify the equation to find x.
A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. how much will ted pay for 2 t-shirts and 4 pairs of shorts?
A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. Then ted pay for 2 t-shirts and 4 pairs of shorts is $59.4
A t-shirt and a pair of shorts cost $29.75 together.
jason paid $228.55 for 12 t-shirts and 5 shorts.
how much will ted pay for 2 t-shirts and 4 pairs of shorts
let T denote for t shirt and S denote for shorts
then T+ 2S=29.75
12T+ 5S=228.55
solving these equation
multiply by 12 in 1 , we get
12T+ 24S= 357
12T+ 5S=228.55
substract these two equation we have
19S=128.45
S= 6.76
we can substitute in 1 we get
T + 13.52 =29.75
T=16.23
Hence , 2T + 4S = 32.46+27.04=59.4
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It takes 2 minutes to print out 3 posters at Carla's school.How long would it take to print out 14 posters
James is taking out a personal loan from his local bank. if the total loan amount is $2500 at a simple interest rate of 14.99% and in the 1st 4 months he makes only interest payments, how much will he pay in those months total?
James has to pay an annual interest of 14.99% on $2500 loan.
In decimal:
14.99% = 14.99/100 = 0.1499
The interest of 1st year would be:
0.1499 * 2500 = 374.75 dollars
Monthly interest would be:
374.75/12 = $31.23
If he pays this amount each month for first 4 months, he would pay a total of:
$31.23 * 4 =
$124.92PLEASE ANSWER ASAP!!
A) The end behavior of the polynomial graph is that;
as x → -∞, y → -∞, and as x → ∞, y → ∞
B) The given graph polynomial represents an even degree polynomial.
What is the End behavior of the graph?The end behavior of the graph of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity.
Now, we see from the graph that as x approaches a larger value, y values are getting increasingly negative. This means that as x approaches negative infinity, the values of y approach negative infinity.
In a similar approach, we can see that as the values of x approach positive infinity, the values of y also approach positive infinity.
Thus, we can say that option D is correct.
B) Odd-degree polynomial functions, are those that have graphs that extend diagonally across the quadrants while even-degree polynomial functions are those that have graphs that open upwards or downwards.
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Given p(x) = -4(x-15)+2, what is the value of p(7) ?
Step-by-step explanation:
I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(
Answer:
B
Step-by-step explanation:
12 multiplied by 5 is 60 and 10 multiplied by 6 is 60. which is the lowest that they both will meet
rlly need helpp plsssss
Answer: Equation is x+45 = 90
It solves to x = 45
Explanation:
The two angles are complementary, which by definition means they join together to form a right angle. The two pieces x and 45 add to 90 degrees.
To solve the equation x+45 = 90, we subtract 45 from both sides to get x = 45.
As a check x+45 = 45+45 = 90.
The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.
Price of Cap, p
(in dollars) Number of Units
in Demand, d
23 432
27 356
30 299
35 204
Which equation represents the relationship between the price of the cap and the number of units in demand?
A.
d = 850 - 19p
B.
d = 285 - 869p
C.
d = 869 - 19p
D.
d = 19 - 869p
The relationship between the price of the cap and the number of units in demand is d = 869 - 19p
What is Substitution?Substitution: A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.
The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.
Price of Cap, p(in dollars) Number of Units in Demand, d
23 432
27 356
30 299
35 204
the relationship between the price of the cap and the number of units in demand
lets substitute the values in the given options ( lets use 1st result p=23 and d=432)
A.
d = 850 - 19p
432=850-19(23)
432=850-437
432≠413
B.
d = 285 - 869p
432=285-869(23)
432=285-19,987
432≠19,702
C.
d = 869 - 19p
432=869-19(23)
432=869-437
432=432
option C is correct
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A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.
The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.
The relationship between the price of the cap and the number of units in demand
lets substitute the values in the given options ( lets use 1st result p=23 and d=432)
A. d = 850 - 19p
432=850-19(23)
432=850-437
432≠413
B. d = 285 - 869p
432=285-869(23)
432=285-19,987
432≠19,702
C. d = 869 - 19p
432=869-19(23)
432=869-437
432=432
20 POINTS!!! PLEASE I NEED HELP STAT!!!
Francisco is moving and must rent a truck. There is an initial charge of $45 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C, in terms of m, representing the total cost of renting the truck if Francisco were to drive m miles.
Answer:
0 miles driven:$45, 1 miles driven:$47.5, 2 miles driven:$50, 3 miles driven:$52.5
Step-by-step explanation:
With indices , solve 32⅕
Answer:
Step-by-step explanation:
32=2⁵
therefore=2⁵×⅕
=2
A chef had to fill up 4⁄6 of a container with mashed potatoes. He ended up using 3 2⁄4 pounds of mashed potatoes. How many pounds would he use if he had to fill up the entire container?
5.25 pounds of mashed potatoes is required to fill the container.
How Many Pounds to Fill the ContainerIn the question, we were told the container was 4/6 filled and the chef used 3 2/4 pounds which is equal to 14/4 pounds of mashed potatoes.
In doing this, we are calculating the volume of the container.
Let's equate this and find how many pounds will fill the container.
[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\ 1 fill = x pounds[/tex]
Let's cross multiply both sides and solve for x.
[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\1 = x pounds\\x = \frac{1 * \frac{14}{4} }{\frac{4}{6} }\\x = \frac{21}{4} = 5.25 pounds[/tex]
To fill the container, we need 5.25 pounds of mashed potatoes.
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1 divide by root 9 + root 8
Let's expand the rational number with the conjugate of the expression in the denominator.
[tex]C=\sqrt{9} +\sqrt{8}[/tex][tex]\frac{1}{\sqrt{9}-\sqrt{8} }. \frac{\sqrt{9}+\sqrt{8} }{\sqrt{9}+\sqrt{8} }[/tex][tex]=3+2\sqrt{2}[/tex]Answer:
Step-by-step explanation:
root of 9 is 3
root of 8 is 2.8
the equation =-2.5
What value of x satisfies the equation?
3(x−5)=5x−(3−x)
Responses
-4
-12
−2/3
8/3
The value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is
x = - 12.
What is Equation?
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given is the following equation -
3(x − 5) = 5x − (3 − x)
The given equation is -
3x - 15 = 5x - 3 + x
Simplifying for (x), we get -
3x - x - 5x = - 3 + 15
- x = 12
x = -12
Therefore, the value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is x = - 12.
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Question on the image please help
Answer: 0.195
Step-by-step explanation:
Write a recursive formula for a_na
n
term of the sequence 13, 3, -7, -17,
The recursive formula for the sequence 13, 3, -7, -17 is 3 + 10n.
How to illustrate the information?It should be noted that the nth term for an arithmetic sequence is illustrated by the formula:
= a + (n - 1)d.
where a = first term = 13
d = common difference = 3 - 13 = 10
n = number of terms
Therefore, the recursive formula will be:
a + (n - 1)d.
= 13 + (n - 1)10
= 13 + 10n - 10
= 3 + 10n
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What are the answers for both of them
help meeeeeeeeeeeeeeeeeee pleaseeee!!
Answer: The answer is y
Step-by-step explanation:
How long will it take for a $4000 investment to grow to $5780 at an annual rate of 4%, compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredths.
The working equation when dealing with problems regarding compounded interest is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where A is the future value, P is the principal value, r is the annual rate, and n is the number of compounding periods.
The problem compounds quarterly, hence, we have n = 4.
We derive the working equation to solve for t, as follows:
[tex]\begin{gathered} \frac{A}{P}=(1+\frac{r}{n})^{nt} \\ \ln (\frac{A}{P})=\ln ((1+\frac{r}{n})^{nt}) \\ nt\ln ((1+\frac{r}{n}))=\ln (\frac{A}{P}) \\ t=\frac{\ln (\frac{A}{P})}{n\ln ((1+\frac{r}{n}))} \end{gathered}[/tex]Substitute the values of A, P, n, and r on the derived equation above and solve for t, we get
[tex]\begin{gathered} t=\frac{\ln (\frac{5780}{4000})}{4(\ln (1+\frac{0.04}{4}))} \\ t=\frac{\ln (1.445)}{4(\ln (1.01))} \\ t=\frac{0.368}{4(0.00995)} \\ t\approx9.25 \end{gathered}[/tex]Therefore, the $4000 investment grows to $5780 in 9.25 years.
-27 = -w/5 solve for w and simplify as much as possible and put the anwser
Answer:
w = 135
Step-by-step explanation:
-27 = -w/5
multiply both sides by 5:
5(-27) = 5(-w/5)
-w = 135
divide both sides by -1:
-w/-1 = 135/-1
w = 135
The value of w is 135 in the equation -27 = -w/5 .
We are provided with the equation mentioned below:
-27 = -w/5
As per the question we have to simplify and solve this above mentioned equation. To simplify this provided equation we will follow the steps mentioned below:
-27 = -w/5 equation 1
On multiplying both the sides of equation 1 with 5, we will get
(-27) × 5 = (-w/5) × 5
- 135 = -w equation 2
On multiplying both the sides of equation 2 with -ve sign, we will get
w = 135
Thus, we can write that the value of w is 135.
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Write the equation of the line in point slope form that passes through the point (-8,-3) and (2,2)
Answer:
i think y=1/2x+1 or y+3=1/2 times (x+8)
Step-by-step explanation:
4.(02.02 MC)Demarcus will be 24 years old when he graduates. If the mean brweekly wage of his career is $2456.00, what will his lifetime earrings be when he retires at the of68 (1 point),O $100,79600$1.000 76.00$261896.00$5226,192.00
His lifetime earnings when he retires at the age of 68 is $2,817,385.1728.
The total number of years Demarcus will work is 68 - 24 = 44 years.
Now, there are about 52.1429 weeks per year; therefore, the number of weeks in 44 years will be:
44 years × 52.1429 weeks/year = 2294.2876 weeks
We are also told that Demarcus gets paid once every two weeks; this means the number of payments made in 44 years will be:
2294.2876 / 2 = 1147.1438 payments
Since each payment is worth $2,456.00, the total amount earned from 1147.146 payments will be:
1147.146 payments × 2456 per payment = $2,817,385.1728
Hence, Demarcus' lifetime earnings if he retires at the age of 68 will be $2,817,385.1728.
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what is a trigonometrical complex number
A complex number z = a + bi has the trigonometric form z = r(cosθ + I sinθ ), where r = |a + bi| is z's modulus and tanθ = b.
the angle generated by the complex number on a polar graph having one real axis and one imaginary axis. This may be calculated using the right angle trigonometry for the trigonometric functions. Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).
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When a number is outside parentheses what operation does that indicate?
Answer:
When a number is outside parentheses, the operation it indicates is Multiplication
Explanation:
When a number is outside parentheses such as;
[tex]4(5+2)[/tex]The operation it indicates is Multiplication, for the example above, it means that 4 will multiply each of the numbers inside the parentheses.
[tex]4(5+2)=4\times(5+2)=4\times5+4\times2[/tex]Therefore, When a number is outside parentheses, the operation it indicates is Multiplication
-11+?=15
?-(-3)=5
?+(-4)=7
?+-8=-3
-2+?=1
?-12=-4
Answer:
Step-by-step explanation:
-11+?=15
?=15+11
15+11= 26
So, -11+26=15.
?-(-3)= 5
?+3=5
?=5-3
?=2
So, 2-(-3)=5.
?+(-4)=7
?-4=7
?=7+4
?=11
So, 11+(-4)=7.
?+-8=3
?=3+8
?=11
So, 11+-8=3.
-2+?=1
?=1+2
?=3
So, -2+3=1.
?-12=-4
?=-4+12
?=8
So, 8-12=-4.