Answer:
Wind
Hydroelectric Power
Solar
Geothermal
Find [tex]a_{1}[/tex] in a geometric series for which [tex]S_{n}[/tex] = 189, r = [tex]\frac{1}{2}[/tex], and [tex]a_{n}[/tex] = 3.
Answer:
[tex] \displaystyle a_{1} = 108[/tex]
Step-by-step explanation:
we are given
the sum,common difference and nth term of a geometric sequence
we want to figure out the first term
recall geometric sequence
[tex] \displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r} [/tex]
we are given that
[tex]S_n=189[/tex][tex]r=\dfrac{1}{2}[/tex][tex]n=3[/tex]thus substitute:
[tex] \displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} } [/tex]
to figure out [tex]a_1[/tex] we need to figure out the equation
simplify denominator:
[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189[/tex]
simplify square:
[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189[/tex]
simplify substraction:
[tex] \displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189[/tex]
simplify complex fraction:
[tex] \displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189[/tex]
calculate reciprocal:
[tex] \displaystyle a_{1} \frac{7}{8} \times 2 = 189[/tex]
reduce fraction:
[tex] \displaystyle a_{1} \frac{7}{4} \ = 189[/tex]
multiply both sides by 4/7:
[tex] \displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7} [/tex]
reduce fraction:
[tex] \displaystyle a_{1} = 27\times 4[/tex]
simplify multiplication:
[tex] \displaystyle a_{1} = 108[/tex]
hence,
[tex] \displaystyle a_{1} = 108[/tex]
Answer choices
15
18
20
30
Please help no links I will report
Answer:
18 people.
Step-by-step explanation:
thirty percent of 60 is 18
Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle
Answer:
Step-by-step explanation:
a, b, c
a + b > c ; b + c > a ; a + c > b
5 + 4 < 10 ⇒ triangle not possible
Answer:
Triangle not possible.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.
5 + 4 = 9
9 cm is not longer than 10 cm.
10 > 9
Therefore, the triangle is not possible..
Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?
Answer:
58
Step-by-step explanation:
1).2+24+3 = 29
2) 29 x 2 = 58
Can someone help me with this ? it is relative frequency tables
Answer:
Step-by-step explanation:
36/78 = 0.46153,,,, nope.. not a choice
36/123 = 0.2926.... so the last answer looks good
Find the perimeter and area of the kite. pls
what is y=mx+b solve for x
Answer:
equation of a line
Step-by-step explanation:
Answer:
Formula used during line equations
which pair of words is the ODD one out. A. sister-brother, B. wife-husband, C. teacher-student or D. princess-prince
What is the answer
Answer:
C. teacher-student
Step-by-step explanation:
the pattern is girl, boy, girl boy, and teacher and student don't have a gender connection
Suppose you are asked to list in order of preference the best three movies you've seen this year. If you saw eight movies this year, in how many ways can the three best be chosen and ranked?
Answer:
The three best can be chosen and ranked in 336 ways.
Step-by-step explanation:
Since you are asked to list the movies in order of preference, the order is important, as a higher order leads to a higher preference. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
If you saw eight movies this year, in how many ways can the three best be chosen and ranked?
[tex]P_{(8,3)} = \frac{8!}{(8-3)!} = 336[/tex]
The three best can be chosen and ranked in 336 ways.
Find the arc length of the following problem:
Answer:
[tex]61.261 {ft}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{270}{360} \times 2\pi \: r \\ \frac{270}{360} \times 2 \times \pi \times 13 \\ = 61.261 {ft}^{2} [/tex]
Can I have the brainliest please?Check the pic please
With steps please
Answer:
Angle BOD = 75⁰
Step-by-step explanation:
Answer attached...
Hope it helps :)
Ryan is working on his first budget. Ryan's take home pay is $2,500 each month. Ryan spends $800, $450 on food, $125 on utilities, his car payment is $325 and he spends $125 on gas. What percent of his income does Ryan spend on transportation each month?
Answer: 25%
Step-by-step explanation: your welcome
PLEASE HELP FAST AND THANK YOU! AND NO LINKS!
Can 60°, 60°, 60° be the measures of an acute isosceles triangle?
Answer:
Yes
Step-by-step explanation:
Triangle angles have to add up to 180
Answer:
No
Step-by-step explanation:
isosceles triangle have two equal angle and one unequal angle.
the above triangle would be an acute equilateral triangle
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure? (In other words, try and map the red figure on the blue figure).
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
Answer:
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.Step-by-step explanation:
Easy way to take one of the vertices and apply the transformations1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
False2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
True(-3, 3) → (3, 3) → (3 - 10, 3 - 9) = (-7, -6)3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
False4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
FalseA group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Answer:
Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.
Please help me with this math problem.
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
What type of slope is this table?
Answer:
It is a negative slope :)
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 500 tickets. There is one $2,000 grand prize, three $300 second prizes, and eleven $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Answer:
-$2.32
Step-by-step explanation:
Give that
The selling price per ticket is $9
And the number of tickets sold is 500
So,
There is one grand prize, three $300 second prize, and eleven $40 third prizes
We need to find out the expected value of the profit
[tex]= \frac{1}{500} \times 2000 + \frac{3}{500} \times 300 + \frac{11}{500} \times 40\\\\[/tex]
= 4 + 1.8 + 0.88
= 6.68
Now the expected profit is
= $6.68 - $9
= -$2.32
I need to find the missing angle and arc measures.
please answer
Step by step
9514 1404 393
Answer:
1: 40°; 2: 110°; 3: 70°; 4: 45°; 5: 65°
6: 70°; 7: 70°; 8: 65°; 9: 45°; 10: 17.5°
11: 15°; 12: 37.5°; 13: 70°; 14: 72.5°; 15: 20°
16: 87.5°; 17: 77.5°; 18: 35°; 19: 75°; 20: 20°
21: 50°; 22: 95°
Step-by-step explanation:
The angles are shown in the attached. The following relationships are used to find them.
an inscribed angle is half the measure of the arc it subtendsthe sum of angles in a triangle is 180°the angles where chords cross are half the sum of the intercepted arcsthe total of arcs in a semicircle is 180°an exterior angle of a triangle is equal to the sum of the remote interior anglesacute angles in a right triangle are complementary_____
All of the arcs around the circle are shown except EL and HN. EL is the difference between 180° and the other marked angles in semicircle SLH. It is 90°. HN has a vertical central angle with arc SE, so is the same measure, 40°.
Angle 1 is the central angle for arc HN, so has the same measure: 40°.
Angle 2 is half the sum of arcs SL and HW, so is (130+90)/2 = 110°.
Angle 3 is vertical to the second remote interior angle in triangle BDQ where angle 2 is an exterior angle. That is ∠3 = ∠2 -∠1 = 110° -40° = 70°.
Angle 4 is half arc NL, so is (40° +30° +20°)/2 =45°.
Angle 5 is the remaining interior angle of ∆BNW, so is 180° -70° -45° = 65°.
Angle 6 is half of arc HE, so is (30° +20° +90°)/2 = 70°.
Angle 7 is half of arc SN, so is 140°/2 = 70°.
— note that triangle HNQ is an isosceles triangle with central angle 40°, so the two base angles (∠6 and ∠7) are (180° -40°)/2 = 70°.
Angle 8 is half the measure of arc LS, so is (90° +40°)/2 = 65°.
Angle 9 is half the measure of arc HW, so is (40° +50°)/2 = 45°.
Angle 10 is half the measure of arc ST, so is 35°/2 = 17.5°.
Angle 11 is half the measure of arc OT, so is 30°/2 = 15°.
Angle 12 is half the measure of arc NO, so is (50° +25°)/2 = 37.5°.
Angle 13 is half the measure of arc HE, so is 140°/2 = 70°.
Angle 14 is half the measure of arc HT, so is (180° -35°)/2 = 72.5°.
Angle 15 is half the measure of arc ES, so is 40°/2 = 20°.
Angle 16 is vertical to the remaining interior angle of the triangle containing angles 14 and 15. Its measure is 180° -72.5° -20° = 87.5°.
Angle 17 is half the sum of arcs ES and OH, so is (40° +115°)/2 = 77.5°.
Angle 18 is half the measure of arc RN, so is (30° +40°)/2 = 35°.
Angle 19 is half the sum of arcs LR and EW, so is (20° +130°)/2 = 75°.
Angle 20 is half the measure of arc HN, so is 40°/2 = 20°.
Angle 21 is complementary to angle 1, so is (90° -40°) = 50°.
Angle 22 is the remaining interior angle of triangle ACE, so is (180° -35° -50°) = 95°.
PLEASE HELP ITS DUE TODYA PLEASE HELP!!!!!!!
Answer:
AC = 7.8 cm
Step-by-step explanation:
AE² = 6² - 3² = 36 - 9 = 27
AE = √27 = 5.196
EC² = 4²- 3² = 16 - 9 = 7
EC = √7 = 2.646
AC = 5.196 + 2.646 = 7.84 cm
Oridinary interest method to find the rate of interest that make over photo pays on a loan of $8,000 for 285 days. If the amount of interest is $590.
Answer:
The correct answer is "9.3%".
Step-by-step explanation:
The given values are:
Amount of interest,
= $590
Principle,
= $8,000
Time:
= 285
Let the interest rate will be "x".
Now,
⇒ [tex]Amount \ of \ interest=Principle\times Interest \ rate\times \frac{time}{No. \ of \ days \ in \ year}[/tex]
On substituting the values, we get
⇒ [tex]590=8000\times x\times \frac{285}{360}[/tex]
⇒ [tex]590=6333.33\times x[/tex]
⇒ [tex]x=\frac{590}{6333.33}[/tex]
⇒ [tex]=9.3157 \ percent[/tex]
or,
⇒ [tex]=9.3[/tex]%
Find the x- and y-intercepts of the parabola y=−x2+4x−4.
Answer:
Hope This Helps!
Step-by-step explanation:
Given the polynomial f(x) = -4x2 + 5x + 7, what is the smallest positive integer a such that the Intermediate Value
Theorem guarantees a zero exists between 0 and a?
Answer:
here the smallest positive no be (0,-14)
Step-by-step explanation:
The computation is shown below:
Here we put the value of x as 0, 1,2, 3
And solve the polynomial
Given that
-4x^2 + 5x + 7
Now
x = 0
So,
= -4(0)^2 + 5(0) + 7
= 0 + 0 + 7
= 7>0
x = 1
= -4(1)^2 + 5(1) + 7
= -4 + 5 + 7
= 8>0
x = 2
= -4(2)^2 + 5(2) + 7
= -16 + 17
= 1>0
x = 3
= -4(3)^2 + 5(3) + 7
= -36 + 15 + 7
= -14>0
So, here the smallest positive no be (0,-14)
A political scientist claims that negative advertising on television affects younger voters more than it affects older voters. To test this claim, the scientist obtained data from two random samples of voters categorized into two age-groups, older and younger. The null hypothesis was that there was no difference in the proportions of voters in the two age-groups who would be affected by negative ads. The alternative hypothesis was that the proportion of younger voters affected would be greater than the proportion of older voters affected.
Assuming all conditions for inference were met, the scientist conducted the test at a significance level of α=0.05α=0.05. The resulting pp-value was 0.206. Which of the following is the correct decision for the test?
a. The pp-value is less than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters
b. The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
c. The pp-value is greater than αα, and the null hypothesis is not rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
d. The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
e. The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
Answer:
E
Step-by-step explanation:
Since the pp-value exceeds, the null hypothesis is not ruled out. The argument that younger voters are more impacted by negative advertisements than older ones is supported by compelling evidence. The correct option is C.
How to get the null Hypothesis?The null hypothesis is accepted as the P value is greater than the significant level.
Given :
Percentage older voters = po
Percentage younger voters = py
H0: po = pL
Ha: py > pL
Pvalue = 0.206; α = 0.05
Decision Region :
If Pvalue > α ; We can not reject H0
In the scenario above,
P value> α ; 0.206 < 0.05; Hence, we can not reject the Null.
To know more about the null Hypothesis follow
https://brainly.com/question/13135308
#SPJ6
A deck wraps around the back of a house. Find the area of the deck made up of rectangles.
Answer: Base and Height
Step-by-step explanation: You would multiply the base and height. Since it is not a triangle you wouldn't divide it by 2
7 more than the quotient of a number is 2 and 9
Given:
Consider the given statement is "7 more than the quotient of a number and 9 is 2".
To find:
The value of the unknown number.
Solution:
Let be the unknown number.
Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]
7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]
It is given that, 7 more than the quotient of a number and 9 is 2.
[tex]\dfrac{x}{9}+7=2[/tex]
Multiply both sides by 9.
[tex]x+63=18[/tex]
[tex]x=18-63[/tex]
[tex]x=-45[/tex]
Therefore, the unknown number is -45.
What is 1/3 divided by 2??
?X2=1/3
Answer:
2/33
Step-by-step explanation:
calculator.net
Answer:
.165, i think
.165×2 =.33
have a good day
What percentage of the shape is green?
Answer:
86 %
Step-by-step explanation:
Total no. of squares = 50
No. of green squares = 43
Percentage of green squares = (43/50) x 100%
Percentage = 86%
Laurel buys 3 balls of yarn. Each ball of yarn costs $4.75. She also buys 2 pairs of knitting needles. Each pair costs $5.75. She pays for her purchase with two 20- dollar bills. What is her change?
HELPPPP PLZ
Ben ordered a shipping container so he could ship a model car to Europe.
The container is in the shape of a rectangular prism
WHAT IS THE VOLUME OR COMAPSITY
Answer:
The shipping container's volume is 24 cubic feet.
Step-by-step explanation:
Being a rectangular box, you can find the volume of it by multiplying its length, width, and height together.
We're given the dimensions 4' x 2' x 3'. If we multiply those we get (4 × 2 × 3)', or 24 cubic feet. The box then has a volume of 24 cubic feet.