Answer:
30 calories
Step-by-step explanation:
[tex]\frac{10g}{1} *\frac{600cal}{200g} = 30 cal[/tex]
Answer:
30cal/10grams
Step-by-step explanation:
200/10 = 20
600/20 = 30
Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this account. Laura makes no additional deposits or withdrawals. Which amount is the closest to the account balance at the end of 4 years? $5,852. 00 $5,860. 53 $5,940. 00 $5,954. 31.
The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
For the considered case, we're given that:
Initial amount Laura deposited = $5,500 = PType of interest: Compound interestUnit of time: AnnuallyRate of interest = 1.6% annually = RTotal unit of time for which amount is to be calculated: 4 years = T
The final amount at the end of 4 years in the considered account of Laura is evaluated as:
[tex]A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)[/tex]
Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
Learn more about compound interest here:
https://brainly.com/question/11897800
The value of a ratio is ___________.
1 the sum of two quantities in the ratio
2 the quotient of the two quantities in the ratio
3 the difference of the two quantities in the ratio
4 the product of the two quantities in the ratio
Answer:
The value of a ratio is:
Option 2, The quotient of the two quantities in the ratio.
Step-by-step explanation:
Hope this helps you out! ^^
Solve −h−7h+13=3. Solve for h
Answer:
I think your answer is h = -1
Answer:
-8h+13=3
-8h=3-13
_8h=_10
h=5\4
A car dealership sold 120 cars in April. The dealership wants to increase the number of cars sold by 15% in May. How many cars will the dealership need to sell to reach their goal?
Answer:
See below
Step-by-step explanation:
15% of 120 is 18
120 plus 18 is 138
=138
put these in order from least to greatest 0.5, -3/2, -1 1/3, - 2.25
Please help
Answer:
-11/3, -2.25, -3/2, 0.5
Step-by-step explanation:
please help me out, need help asap:) thank you
Answer:
See below.
Step-by-step explanation:
Solving :-
#1
x² - 2x - 15 = 0x = 2 ± √4 - 4(1)(-15) / 2x = 2 ± √64 / 2x = 2 ± 8 / 2x = 1 ± 4x = 5, -3#2
8x² + 2x - 15 = 0x = -2 ± √4 - 4(8)(-15) / 16x = -2 ± √484 / 16x = -2 ± 22 / 16x = -1 ± 11 / 8x = 5/4, -3/2They both have the numerator in both solutions to be 5 and -3 respectively. I believe this is because both equations have the constant term, c, to be -15 and 5 and -3 are factors of -15.
help help help help help help༎ຶ‿༎ຶ
Answer:
Step-by-step explanation:
START
=> Alternate Interior Angles (Slanted Downwards Right)
=> Vertical Angles (Up)
=> Linear Pair (Right)
=> Corresponding Angles (Down)
=> Alternate Exterior Angles (Down)
=> Interior Angles on the Same Side (Left)
=> Alternate Interior Angles (Left)
=> Corresponding Angles (Slanted Downwards Right)
=> Exterior Angles on the Same Side (Right)
FINISH
Just help for 15 points
Answer:
Point of Intersection = (2/3, -16/3)
Step-by-step explanation:
Equation of line AB
=> y + 18 / -15 + 18 = x + 3 / -2 + 3
=> y + 18 = 3x + 9
=> y = 3x - 9
Equation of Line CD
=> y + 13 / -7 + 13 = x + 7 / -1 + 7
=> y + 13 = x + 7
=> y = x - 6
Intersection
=> 3x - 9 = x - 6
=> 2x = 3
=> x = 2/3
y = 2/3 - 6
y = -16/3
Point of Intersection = (2/3, -16/3)
a random group of high school and college students were asked if they study with or without listening to music. the frequency table below shows the results of the poll. a 4-column table with 3 rows. the first column has no label with entries high school, college, total. the second column is labeled music with entries 68, 85, 153. the third column is labeled no music with entries 65, 51, 116. the fourth column is labeled total with entries 133, 136, 269. which statements are true? check all that apply. the table shows conditional relative frequencies by column. the table shows conditional relative frequencies by row. the conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56. if someone prefers to study with music, the probability the person is in college is about 63%. if someone prefers to study with music, the probability the person is in hs is about 44%.
Answer:
The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.
If someone prefers to study music, the probability the person is in HS is about 44%.
Step-by-step explanation:
In the music column, we see that
total people who prefer to study with music = 153
high school students = 68
So, probability of high school students who study with music
= 68/153
= 0.44
= 44%.
College students = 85
Probability of college students who prefer to study with music
= 85/153
= 0.56
= 56%.
So, the correct statements are :
The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.
If someone prefers to study with music, the probability the person is in HS is about 44%.
Answer:
3 and 5
Step-by-step explanation:
2022
can someone help me evaluate -7 x (-7)^-4 Please
(-7)¹ x (-7)⁻⁴ = (-7)⁻⁵
Please help with a clear answer
Answer: f is the dependent variable
Step-by-step explanation:
A variable that depends on one or more other variables. For equations such as letter f = 0.73g +16.8, the dependent variable is letter f. The value of letter f depends on the value chosen for g. Usually the dependent variable is isolated on one side of an equation.
One tenth of the markers in mr barrets Classroom are red. What fraction of the markers is red?
A.1/10
B.8/10
C.9/10
D.10/1
Answer:
A.1/10
you provided the answer... you said one tenth which is 1/10
Step-by-step explanation:
Answer:
A 1/10
Step-by-step explanation:
your welcome
Tom has a goal of saving enough money to buy a new set of rims for his car. Tom makes $7. 50 an hour take home pay at his job working 15 hours per week. If the rims that Tom wants cost $900, how long will it take Tom to achieve his goal? a. 6 weeks b. 7 weeks c. 8 weeks d. 9 weeks Please select the best answer from the choices provided A B C D.
It will take 8 weeks to Tom to achieve his goal.
What is the amount earned by him in a week?
The amount earned by him is given by multipliy number or hours and eaning in a hour.
Given
Tom has a goal of saving enough money to buy a new set of rims for his car.
Tom makes $7. 50 an hour take home pay at his job working 15 hours per week.
The earning of Tom in an hour = $7.5
If tom worked 15 hours in a week, then the amount earned by him in one week is;
[tex]=15\times 7.5\\\\=112.5[/tex]
The required amount to achieve his goal = $900
The number of week he need to work to achieve his target is;
[tex]= \dfrac{900}{112.5}\\\\= 8[/tex]
Hence, It will take 8 weeks to Tom to achieve his goal.
To know more about equation click the link given below.
https://brainly.com/question/13605997
Three students found the mean of the data set given. Their work is shown below. Choose the student who correctly found the mean. 10, 10, 13, 14, 16, 19, 23 Naeem's Work. StartFraction 10 10 13 14 16 19 23 Over 7 EndFraction = StartFraction 105 Over 7 EndFraction = 15 Preston's Work. StartFraction 10 13 14 16 19 23 Over 6 EndFraction = StartFraction 95 Over 6 EndFraction = 15. 8 Calida's Work. StartFraction 10 23 Over 2 EndFraction = StartFraction 33 Over 2 EndFraction = 16. 5.
Hey there!
Formula:
SUM of all numbers / TOTAL numbers you have in your data plot
EQUATION:
(10 + 10 + 13 + 14 + 16 + 19 + 23) / 7
10 + 10 + 13 + 14 + 16 + 19 + 23
= 20 + 13 + 14 + 16 + 19 + 23
= 33 + 14 + 16 + 19 + 23
= 47 + 16 + 19 + 23
= 63 + 19 + 23
= 82 + 23
= 105
105 / 7
= 15
So, therefore the answer is: Naeem's Work. Start fraction 10, 10, 13, 14, 16, 19, 23 Over 7 end fraction = StartFraction 105 Over 7 end fraction = 15 (Option A.)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
If d° = 140°, what is the value of g°? (please dont guess)
100°
140°
80°
40°
Answer:
okay so the is 140 degrees right and d and e are on a straight line so extend every line in that diagram so to get a it will be 180 degrees - 140 and e is equals to 40 degrees k will be 180 degrees because of angle y and d Angle c is equals to 100 degrees because it falls on a straight line with 80 degrees and angles in a straight line add up to 180° uncle g is equals to 100 degrees because it alternate angles c
The measure of angle g from the given figure is 80°.Therefore, option C is the correct answer.
What is quadrilateral?A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
Given that, angle d is 140°.
We know that, sum of interior angles of a quadrilateral is 360°.
From the given figure,
c°+80°=180°
c°=100°
Now, 40°+d°+g°+c°=360°
40°+140°+g°+100°=360°
g°+280°=360°
g°=80°
Therefore, option C is the correct answer.
Learn more about the quadrilaterals here:
https://brainly.com/question/29934440.
#SPJ2
A cylinder has a height of 20 centimeters and a diameter of 38 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
[tex]\huge\boxed{\sf 22670.80 \ cm^3}[/tex]
Step-by-step explanation:
Height = h = 20 cm
Diameter = d = 38 cm
Radius = d / 2 = 38 / 2 = 19 cm
Volume of cylinder:
[tex]= \pi r^2 h\\\\= (3.14)(19)^2(20)\\\\= (3.14)(361)(20)\\\\= 22670.80 \ cm^3\\\\\rule[225]{225}{2}[/tex]
Solution:
Given:
Height of cylinder = 20 cmDiameter of cylinder = 38 cmFirst, let's find the radius of the cylinder as the radius of the cylinder is included in the formula.
[tex]\text{Diameter = 2(Radius)}[/tex]
[tex]\text{Radius} = \dfrac{\text{Diameter}}{2}[/tex]
[tex]\text{Radius} = \dfrac{38}{2}[/tex]
[tex]\text{Radius} = 19 \ \text{cm}[/tex]
Recall that the volume of a cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.
[tex]\pi r^{2} h = \text{Volume of cylinder}[/tex]
[tex](\pi)( r^{2})( h) = \text{Volume of cylinder}[/tex]
[tex](3.14)( 19^{2})( 20) = \text{Volume of cylinder}[/tex]
[tex]\boxed{22670.8 \ \text{cm}^{3} = \text{Volume of cylinder}}[/tex]
Name the intersection of
FG
and
GF
Answer: First option: Line FG
Step-by-step explanation:
Intersection points will be those points that belong to both lines.
We have the lines Line FG and Line GF.
Line FG: This is the line that connects the point F and the point G.
Line GF: this is the line that connects the point G and the point F.
Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.
Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"
Then the interception is the whole Line FG.
Answer:First option: Line FG First option: Line FG
Step-by-step explanation:
Intersection points will be those points that belong to both lines.
We have the lines Line FG and Line GF.
Line FG: This is the line that connects the point F and the point G.
Line GF: this is the line that connects the point G and the point F.
Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.
Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"
Then the interception is the whole Line FG.
The smaller triangle is dilated to create the larger triangle. The center of dilation is plotted, but not labeled. Describe this dilation. Be sure to include all of the information someone would need to perform the dilation.The smaller triangle is dilated to create the larger triangle. The center of dilation is plotted, but not labeled. Describe this dilation. Be sure to include all of the information someone would need to perform the dilation.
To dilate of the small triangle to get the large triangle the center of dilation is required
The description of the dilation is as follows;
Location of the center of dilation;
The coordinate of the center of dilation is given as follows;
[tex]\left( x_0 = \dfrac{k \cdot x_1 - x_2}{k - 1}, \ y_0 = \dfrac{k \cdot y_1 - y_2}{k - 1} \right)[/tex]
Where;
k = The scale factor of dilation
(x₁, y₁) = A coordinate point on the preimage
(x₂, y₂) = A coordinate point on the image
From the given drawing, we have;
Two vertices on the preimage are; (2, 0), and (5, 1)
Two corresponding vertices on the image are; (0, 0), and (9, 3)
Using the formula for length, l, we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
[tex]l_{small} = \sqrt{\left (1 -0 \right )^{2}+\left (5-2 \right )^{2}} = \sqrt{10}[/tex]
[tex]l_{large} = \sqrt{\left (9 -0 \right )^{2}+\left (3-0 \right )^{2}} = \sqrt{90} = 3 \cdot \sqrt{10}[/tex]
[tex]The \ scale \ factor, \ k = \dfrac{l_{large}}{l_{small}} = \dfrac{3 \cdot \sqrt{10} }{\sqrt{10} } = 3[/tex][tex]\left( x_0 = \dfrac{3 \times 2 -0}{3 - 1}, \ y_0 = \dfrac{3 \times 0 - 0}{3 - 1} \right)[/tex]
[tex]\left( x_0 = 3, \ y_0 = 0\right)[/tex]
The center of dilation is the point (3, 0)The steps to create the larger triangle from the center of dilation are as follows;
From the center of dilation, draw lines passing through the vertices of the small triangleWith the ruler mark points on the radial lines that are three times the distances from the vertices of the small triangle from the center of dilationJoin the marked points to create the larger triangleAlternatively larger triangle can also be created using the vertices as follows;
The coordinates of the third vertex of the small triangle are; (4, -2)
To obtain the coordinates of the large triangle, the coordinates of
the small triangle are multiplied by the scale factor, followed by adding the
coordinates of the center of dilation, we have that the coordinates of the
image are;
[tex](k \times x_{ai} + x_0, \ k \times y_{ai} + y_0)[/tex]
Where;
[tex](x_{ai}, \ y_{ai})[/tex] = The difference between the coordinate values of the vertices of
the small triangle and the center of dilation, we have;
(2 - 3, 0 - 0) = (-1, 0)
(5 - 3, 1 - 0) = (2, 1)
(4 - 3, -2 - 0) = (1, -2)
We have [tex](k \times x_{ai} + x_0, \ k \times y_{ai} + y_0)[/tex] are;
(3 ×(-1) + 3, 3× 0 + 3) = (-3 + 3, 0) = (0, 0)
(3 × 2 + 3, 3 × 1 + 0) = (6 + 3, 3) = (9, 3)
(3 × 1, 3 × (-2) + 0) = (3 + 3, -6) = (6, -6)
The vertices of the larger triangle are found as (0, 0), (9, 3), (6, -6)
By drawing lines joining derived vertices the larger triangle can be created
Learn more about scale drawing here:
https://brainly.com/question/20418185
if 3-3\4 lb of candy cost $20.25 how much would 1 lb of candy be?
Answer: Si 3-3 \ 4 lb de dulces cuestan $ 20.25, ¿cuánto sería 1 lb de dulces
Step-by-step explanation:
Rewrite using a negative exponent.
1/8^6
Answer:
All you need to do is find the reciprocal and switch the exponent to a negative. The answer is 8^-6
Step-by-step explanation:
Answer: 8^-6
Step-by-step explanation:
got it right from the answer above
What is the length of BC to the nearest tenth?
I think the answer is 59.6
The length of BC to the nearest tenth will be 20.7 units
What is Cosine function?The cosine of an angle is a trigonometric function which is equal to the ratio of the lengths of the side adjacent to the angle and the hypotenuse of a right-angled triangle is called the cosine function which varies as the angle variesIt is generally denoted by cos x, where x is the angle between the base and hypotenuse.How to solve this problem?The steps are as follow:
From the given figure letAC=B=15
AB=C=13
BC=A=?
The formula to find BC is as follow:Cos95° = (b^2+c^2-a^2)/2bc
Cos95° = (15^2+13^2-a^2)/(2*15*13)
2*13*15*cos 95 =15^2+13^2-a^2
-34=225+169-a^2
A^2=394+34
A^2=428
A = 20.68 = 20.7 units
So the length of BC to the nearest tenth will be 20.7 units
Learn more about Cosine function here:
https://brainly.com/question/8120556
#SPJ2
What values can replace a, b and c in the boxes below to make the statement TRUE?
Answer:
a=14
b=-5
c=3
Step-by-step explanation:
14 divided by 7 will give 2.
Using laws of indices {a^x/a^y}=a^x-y,using that law(-5-4 will give -9 bringing the -9 downward will make it positive )
same too for y
- Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, how many more must she sell in order to raise at least $400?
I am pretty sure the answer is 37 more bags.
Kendall need 33 more bags of popcorn to be sold.
What is word problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, she needs to raise $400, we need to find how many more must she sell in order to raise at least $400.
Let she needs to sell x more bags of popcorn,
Therefore,
140 + 8x = 400
8x = 260
x = 32.5 ≈ 33
Hence, Kendall need 33 more bags of popcorn to be sold.
Learn more about word problems, click;
https://brainly.com/question/2610134
#SPJ2
Part 2 please help ty!
It’s fine if you don’t know all of them just say the ones you do
tysm again :D
Solve for f
5h(-m+f)=6
Step by step explanation please
Answer:
f =[tex]\frac{6}{5h}[/tex]+m
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
5h(−m+f)=6
Step 1: Add 5hm to both sides.
5fh−5hm+5hm=6+5hm
5fh=5hm+6
Step 2: Divide both sides by 5h.
5fh/5h=5hm+6/5h
f=5hm+6/5h
A firefighter truck can hold 3000 gallons of water. A firefighter can deliver 160 gallons of water every 2 minutes.
1. How much water will be delivered in 10 minutes?
2. How long will it take for the firefighter to empty the tank?
Answer:
Step-by-step explanation:
1. solution
160 gallons = 2 min
160 x 5 = 2 x 5
800 gallons = 10 min
2. solution
160 x 19 = 2 x 19
2880 = 36
So
approximately 38 min
PLS HELP ASAP!! WILL MARK BRAINLIEST!!!
Answer:
2 seconds
Step-by-step explanation:
[tex]y=-5t^2+20[/tex] (Given)
When acorn will hit the the ground, at that moment y = 0
[tex]\implies 0= -5t^2+20[/tex]
[tex]\implies 5t^2=20[/tex]
[tex]\implies t^2=\frac{20}{5}[/tex]
[tex]\implies t^2=4[/tex]
[tex]\implies t=\pm\sqrt4[/tex]
[tex]\implies t=\pm 2[/tex]
Time can not be negative.
[tex]\implies t\neq-2[/tex]
[tex]\implies t=2\:seconds[/tex]
please help me please
Answer:
x = -6
Step-by-step explanation:
we can see that x=-6 when y=2 on the graph
Answer:
-4 should be the answer
good luck
Simplify (3^-2)^4
A: 3^8
B: 1/3^2
C: 1/3^8
D: 3^2
what is the value of x
Answer:
x = 5
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 4^2 = x^2
9 + 16 = x^2
25 = x^2
√25 = √x^2
x = 5