Answer:
fourth and fifth
Step-by-step explanation:
If George gets a 20% raise, that means he will now earn
$445 + $445*20% = $445 + $445*0.2 = $445*1 + $445*0.2 = $445*(1 + 0.2) = $445 * 1.2
So we know the fourth is correct.
We also know that current pay is 100% of current pay and the new pay will be 120% of current pay, so x/455 must be equal to 120% / 100% which is equal to 120/100, so fifth is correct too.
Sean drank a slushy as fast as he could.
The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed.
How fast did Sean drink the slushy?
A. 10ml per second
B. 1 ml per second
C. 0.8 ml per second
D. 8 ml per second
Sean drank slushy 8 ml per second.
The correct answer is an option (D)
What is the slope of the line?"The slope of the line passing through points \((x_1,y_1),(x_2,y_2)\) is,
\(m=\frac{y_2-y_1}{x_2-x_1}\)"
For given question,
From the graph, we can observe the line is passing through points (0, 600) and (75, 0)
Let \((x_1,y_1)=(600,0),(x_2,y_2)=(75,0)\)
The slope of the line would be,
\(\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow m=\frac{0-600}{75-0}\\\\\Rightarrow m =\frac{-600}{75}\\\\ \Rightarrow m = -8\)
This means, Sean drank slushy 8 ml per second.
The correct answer is an option (D)
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A pole that is 3.5 m tall casts a shadow that is 1.38 m long. At the same time, a nearby tower casts a shadow that is 49.75 m long. How tall is the tower? Round your answer to the nearest meter.
Answer: 126
Step-by-step explanation: i am so sorry if i am wrong
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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An investment of 4,000 earns 2% interest compounded annually. What will be value of the investment in 7 years
Start with your exponetial growth formula: y = a(1 + r)^t.
Now, a is going to be your initial amount, r is the rate, and t is the time.
So we have y = $4,000(1 + .02)^7.
Now simplify inside the parenthses first.
So we have y = $4,000(1.02)^7.
Simplifying further gives us y = $4,000(1.14868).
Now use a calculator to get y = $4,594.72
How old is Matt if he was 60 years old six
years ago?
Answer:
66 years old now
bro 60 plus 6
Answer:
66
Step-by-step explanation:
2022 - 6 = 2016
2016 <-> 60
2022 <-> 66
Hello. I have an exam tomorrow and I don’t know to solve this excercises.
Answer:
i cant see the picture you should add me on snap chat or something so i can help you
Step-by-step explanation:
snap: katie_gurlie
Find the volume of the following composite object. Enter your answer as an integer in the box.
Please help due today!!
Answer:
please
Step-by-step explanation:
mark me brainliest 545
Select all the sets of conditions that will create only one unique triangle.
One day, you decide to buy a Mega Millions ticket, and you end up winning $20000. You invest your winnings with PNC Bank in a money market account which earns 6% interest every half-year.
How much money in interest have you earned from your Mega Millions winnings after 7 years of investing in your PNC Bank money market account? [Include a dollar sign in your answer and round to the nearest penny.]
$45218.1
.
The amount of interest earned from the Mega Millions winnings after 7 years of investing in the PNC Bank money market account at 6% interest every half-year is $25,218.08.
How the interest is computed?The interest rate is increased to 12% because 6% every half-year translates to 12% annually.
The compounding period is 14 semi-annual periods because in 7 years there are 14 compounding periods.
N (# of periods) = 14 semi-annual periods (7 years x 2)
I/Y (Interest per year) = 12% (6% x 2)
PV (Present Value) = $20,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $45,218.08
Total Interest = $25,218.08
Thus, from the investment of $20,000 at 6% every half- year, you earn an interest of $25,218.08.
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To map △PQR onto △STU, there must be a factor k that reduces △PQR.
Find each length.
PQ = 5
QR = 7
ST = 5
TU = 5
Step 2 out of 5:
If kPQ = ST, then k =
Answer: k=1
Step-by-step explanation: PQ already equals ST
If the radius is 18 cm and the angle at centre of circle is 120° then the
area of sector is? Use pi as 3.142 *
The area of a sector is 339.336 cm²
The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.
It can be determined by using the formula:
\(\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }\)
Given that;
Radius r = 18 cmAngle θ = 120°Then. the area of the sector can be calculated as:
\(\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }\)
\(\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }\)
A = 339.336 cm²
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Drag the labels to the correct locations on the table. Each label can be used more than once.
Match each function to all of the function types it belongs to.
Linear
Quadratic
Exponential
Polynomial
ments
f(x) = 2x +3
f(x) = x2 + 2x - 3
f(x) = 3x-2
Answer:
first one linear
second one quadratic
linear
Step-by-step explanation:
Answer:
f(x)=2x+3 is linear and polynomial
f(x)=x^2+2x= -3 quadratic and polynomial
f(x)=3^3 - 2 is exponential
Step-by-step explanation:
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
2(|x + 4| + 3) = 6
Please help!
Answer:
-4
Step by step:
\(2 \times x \: + 2 \times 4 + 2 \times 3 = 6 \\ 2x \: + 8 + 6 = 6 \\ 2x = 6 - 8 - 6 \\ 2x \: = - 8 \\ x \: = - 4\)
The leftmost digits of two multi-digit numbers are 3 and 6. Can you tell
which number is greater? Explain.
Answer:
You cannot tell which number is greater, we need more information.
"multi-digit" does not imply how many digits each number has, therefore both numbers could be greater, for example:
3005 vs 60
OR
30 vs 645
HELPPPP PLEASEEE IM BEGGING SOMEONE PLEASE PLEASE HELP
Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
\(m\angle RPS=90^\circ\) [Right angle]
\((5x+15)^\circ=90^\circ\)
\((5x+15)=90\)
\(5x=90-15\)
\(5x=75\)
Divide both sides by 5.
\(x=\dfrac{75}{5}\)
\(x=15\)
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that
\(m\angle RQP=(2x+3)^\circ\)
Putting \(x=15\), we get
\(m\angle RQP=(2(15)+3)^\circ\)
\(m\angle RQP=(30+3)^\circ\)
\(m\angle RQP=33^\circ\)
Therefore, the measure of angle RQP is 33 degrees.
What is the Mean, median, mode of 12,9,17,15,10
Step-by-step explanation:
first, for such questions, we sound always sorry the list of data points :
9, 10, 12, 15, 17
the mean is the sum of all data points divided by the number of data points. we have 5 data points.
mean = (9+10+12+15+17)/5 = 63/5 = 12.6
median is the data point for which half of the other data points are smaller, and the other half of other data points are larger.
so, for our 5 days points,
median = 12
the middle element in our sorted list.
mode simple defines the data value that appears the most frequently in the list.
in our case all values appear exactly once.
some people say then that the mode is all numbers in the list.
but most commonly we say that this list has no mode.
100 POINTS, Must answer correctly, i will add points when the question is answered correctly! I Promise! I rlly need this!
Please answer all 5 questions, answer them fully, correctly, and in an organized manner.
Use operations of decimal, fraction, and percent numbers and your models from Part (b) to solve the following application problems. In your final answer, include all of the necessary calculations.
1. A family dines in a popular franchise restaurant. At the end of the meal, they decide to leave their server a monetary tip that is equal to 20% of the total bill amount, $60. 50. How much will the family leave their server as a tip?
2. A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 15% off of their total dinner bill, not including applicable sales tax or their server’s tip. If the family’s dinner bill totaled $34. 00 before tax and tip, how much money will they save by using the coupon?
3. A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157. 30 before tax and tip. What is the new total after the server applies the 10% off coupon?
4. A family of eight dines in a popular franchise restaurant. The restaurant has a policy of including a standard tip to the final bill for parties larger than six people. The bill for the meal included a total of $58. 25 in food and beverage sales, plus a standard tip of $10. 49. What percent of the food and beverage sales does the restaurant consider to be a standard tip for parties larger than six?
5. A family dines in a popular franchise restaurant that has a policy of automatically including a 20% tip on all food and beverage sales before coupon discounts are applied. What is the family’s total bill amount if their food and beverages totaled $94. 20 and they used a 15% off coupon?
1 The family will leave a $12.10 tip for their server.
2 The family will save $5.10 by using the coupon.
3 The new total after the coupon is applied is $141.57.
4 The restaurant considers 18% of the food and beverage sales to be a standard tip for parties larger than six.
5 The family's total bill amount is $96.08.
To calculate the tip, we can multiply the total bill amount by the percentage tip:
Tip = 0.20 x $60.50 = $12.10
Therefore, the family will leave a $12.10 tip for their server.
To calculate the discount, we can multiply the total bill amount by the percentage discount:
Discount = 0.15 x $34.00 = $5.10
Therefore, the family will save $5.10 by using the coupon.
To calculate the new total after the discount, we can first find the amount of the discount:
Discount = 0.10 x $157.30 = $15.73
Then, we can subtract the discount from the total bill amount:
New Total = $157.30 - $15.73 = $141.57
Therefore, the new total after the coupon is applied is $141.57.
To find the percentage of the food and beverage sales that the restaurant considers to be a standard tip, we can divide the amount of the tip by the amount of the food and beverage sales and multiply by 100:
Tip percentage = ($10.49 / $58.25) x 100% = 18%
Therefore, the restaurant considers 18% of the food and beverage sales to be a standard tip for parties larger than six.
First, we can calculate the amount of the discount:
Discount = 0.15 x $94.20 = $14.13
Then, we can subtract the discount from the total food and beverage sales:
Total before tip = $94.20 - $14.13 = $80.07
Next, we can calculate the 20% tip on the total before coupon discounts:
Tip = 0.20 x $80.07 = $16.01
Finally, we can add the total before tip and the tip together to find the family's total bill amount:
Total bill = $80.07 + $16.01 = $96.08
Therefore, the family's total bill amount is $96.08.
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will give brainliest answer !!
ig- 513_kaylee
tiktok- ..theekaylee
sc- kkcutie14
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
That angle is found by subtracting your latitude from 90 degrees. At the equator, 0 degrees latitude, the sun angle at noon at the equinox is 90 -- 0 = 90 degrees, or directly overhead.
Subtract: 22²+8242²+122-16
O22²+122-12
4(x+4)(x-1)
O -x²+12x-12
4x(x+4)(x-1)
-2²+6x-6
о 22(x+4)(x-1)
H
-2x²+12-12
2(x+4)(x-1)
=
6-2(x-1)
6
2x(x+4)= 4(x+4)(x-1) = 2z(x+4)-2(x-1)
x.x
4(x+4)(x-1)-
Answer:
the correct answer is the second one
Step-by-step explanation:
I will add a photo of my solution, because there's a lot to type here
Angle is in standard position and (-5, -7) is a point on the terminal side of 0.
What is the exact value of sec 0 in simplest form with a rational denominator?
Answer:
Step-by-step explanation:
Don't use 0 as a substitute for θ. 0 is always 0.
cosθ = -5/(2√15)
secθ = 1/cosθ = -2√15/5
The exact value of sec θ is -8.6/5.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Point(-5, -7).
Here, x= -5 and y= -7
So, r = √x² + y²
r= √(-5)² + (-7)²
r= √25 + 49
r = √74
r= 8.6
So, sec θ= H/ B
= r/x
= 8.6/ (-5)
= -8.6/ 5
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Line A has a slope of -4/3 and line B has a slope of -3/4. Are both lines perpendicular?
Answer:
no they are not
Step-by-step explanation:
Answer:
Yes, they are perpendicular to each other.
Step-by-step explanation:
If lines are corresponding in any way, they are automatically perpendicular. These lines are corresponding to each other when switching the x and y values.
Feel free to give brainliest.
Have an excellent day!
Here' a another graph if someone can please help me solve
Step-by-step explanation:
hye how are you ☺️ plz follow me I don't know this question sorry(a) A pentagon ABCDE has sides AE and CD parallel and the line EC
is parallel to side AB. Sides ED and BC, when extended, meet at a
point F. ZABC is equal to ZCDE. Show that ZAEC = ZCFD.
(b) If, furthermore, triangles EDC and DFC are both isosceles, with
ED = DC and DF = FC, find the angles of the pentagon.
(a) ∠AEC = ∠CFD, by transitive property of equality
(b) ∠CDE = 108°, ∠DCB = 108°, ∠ABC = 108°,∠EAB = 144°, ∠AED = 72°
The reason the above values are correct is as follows:
(a) The given parameters are;
Figure ABCDE is a pentagon
The sides AE is parallel to side CD
Line EC is parallel to side BC
The point of intersection of the extension off side ED and BC = Point F
∠ABC = ∠CDE
Required:
To show that ∠AEC = ∠CFD
Method:
Draw the pentagon ABCDE and include the added construction
Analyze the drawing
Solution:
∠ECF and ∠ABC are corresponding angles between parallel lines EC ║BC
∴ ∠ECF ≅ ∠ABC by corresponding angles formed by parallel lines are congruent
∠ECF = ∠ABC by definition of congruency
∠ABC = ∠CDE = ∠ECF by transitive property
∠ECD ≅ ∠AEC by alternate angles formed between parallel lines having a common transversal
∠ECD = ∠AEC by definition of congruency
∠ECF = ∠FCD + ∠ECD by angle addition postulate
∠CDE = ∠FCD + ∠CFD by exterior angle theorem
From ∠CDE = ∠ECF above, we have;
∠ECF = ∠FCD + ∠ECD = ∠FCD + ∠CFD
∴ ∠ECD = ∠CFD by addition property
∠ECD = ∠AEC, therefore;
∠AEC = ∠CFD, by transitive property
(b) Given that ΔEDC and ΔDFC are both isosceles triangles, with sides;
ED = DC, and DF = FC;
Let r represent ∠CFD, we have;
∠FCD = ∠CDF by base angles of isosceles triangle ΔDFC
∠ECD = ∠CED by base angles of isosceles triangle ΔEDC
∠AEG = ∠CDE by corresponding angles formed by parallel lines having a common transversal
∠AEC = ∠ECD by alternate angles
∴ ∠AEG + ∠AEC + ∠CED = 180° Sum of angles on a straight line
∠CDE = ∠CFD + ∠FCD
∠CDE + ∠CDF = 180° (linear pair angles)
∴ ∠AEG + ∠CDF = 180° by transitive property
∠AEC + ∠CED = ∠CDF by transitive property
∠AEC = ∠ECD = ∠CED = ∠CFD = r
∴ ∠CFD + ∠CFD = ∠CDF
2·r = ∠CDF
∠CDE = ∠FCD + ∠CFD
∠FCD = ∠CDF = 2·r
∴ ∠CDE = 2·r + r = 3·r
∠CDE = 3·r
The angles of the pentagon are;
∠CDE + ∠DCB + ∠ABC + ∠EAB + ∠AED = 540° sum of angles in a pentagon
∠DCB = 180° - ∠FCD
∠DCB = 180° - 2·r
∠ABC = ∠CDE = 3·r
∠EAB = ∠CEH corresponding angles
∠CEH = 180 - ∠AEC
∴ ∠EAB = 180° - ∠AEC
∴ ∠EAB = 180° - r
∠AED = ∠AEC + ∠CED = r + r = 2·r
∠AED = 2·r
Therefore, we have;
3·r + 180° - 2·r + 3·r + 180° - r + 2·r = 540°
5·r + 360° = 540°
r = (540° - 360°)/5 = 36°
r = 36°
∠CDE = 3 × 36° = 108°
∠DCB = 180° - 2×36° = 108°
∠ABC = 3 × 36° = 108°
∠EAB = 180° - 36° = 144°
∠AED = 2 × 36° = 72°
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During a chemistry experiment, Sam records how the temperature changes over time using ordered pairs, (0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100)
Is the relation a function? Explain.
Answer:
no because there is no relation between the temperature changes
Step-by-step explanation:
9514 1404 393
Answer:
yes
Step-by-step explanation:
No domain value is repeated in Sam's ordered pairs, so the relation is a function.
Please help. This is getting confusing. I can mark you brainliest. Please explain it also thank you.
Answer:
x = 2.5
Step-by-step explanation:
In order to solve for x, we need to write an equation. This question gives us the angles of a triangle, so we can use this to write our equation. All angles of a triangle will always add to 180 degrees, therefore:
(12x+6) + 104 + 40 = 180
Now we can just take out the brackets, combine like terms and isolate and solve for x:
12x + 6 + 104 + 40 = 180
12x + 150 = 180
12x + 150 - 150 = 180 - 150
12x = 30
12x/12 = 30/12
x = 2.5
Hope this helped!
You want to estimate the number of students in your school who support extra funding for the music club. You survey every second student who enters the school.
Determine whether the sample is biased or unbiased.
Answer: It’s UNBIASED!
Step-by-step explanation:
PLease help Qwq it precalc
Answer:
1) x= -7/5
Step-by-step explanation:
−5x-7=0
-5x=7
x=-7/5
Answer:
D
Step-by-step explanation:
To find the zero let y = 0 , that is
- 5x - 7 = 0 ( add 7 to both sides )
- 5x = 7 ( divide both sides by - 5 )
x = \(\frac{7}{-5}\) = - \(\frac{7}{5}\) → D
Dos fuerzas coplanares concurrentes tienen magnitudes 3 N y 4 N. Si las fuerzas son perpendiculares entre sí, la magnitud de la resultante será en Newton:
Answer:
12 N
Step-by-step explanation:
It is given that A⃗ −B⃗ =(−51.4m)x^,C⃗ =(62.2m)x^, and A⃗ +B⃗ +C⃗ =(13.8m)x^.
Find the vector A⃗ . Find the vector B⃗ .
The vector A is (49.9m) x and vector B is (1.5m) x.
In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.
Find the vector A. Find the vector B.
We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).
A − B = −51.4.............................(1)
C = 62.2.............................(2)
A + B + C = 13.8.............................(3)
Now putting the value of C from Equation (2) in Equation (3)
A + B + C = 13.8
A + B + 62.2 = 13.8
Subtract 62.2 on both side, we get
A + B = 13.8 - 62.2
A + B = - 48.4.....................(4)
Adding the equation (1) and (4), we get
2A = - 99.8
Divide by 2 on both side, we get
A = - 49.9
Now subtracting the equation (1) and (4), we get
2B = -48.4 - ( -51.4)
2B = 3
Divide by 2 on both side, we get
B = 1.5
Since all of the calculations are done in terms of the unit vector x.
So the answer is vector B = (1.5m) x and vector A = (49.9m) x.
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